The charged battery costs 16 dollars, which is denoted as -16. (negative number). The cost for the savings for using a battery that can be recharged is +14(positive number).
A battery is an electrical energy storage instrument made up of one or more electrochemical cells connected to the outside world. The cathode and anode of a battery are the positive and negative terminals, respectively, when the battery is supplying electricity. The battery costs 16 dollars. You save 14 dollars each time you recharge the battery. The cost of the rechargeable battery as a negative number is -16.The savings for using a battery that can be recharged is +14
The charged battery costs 16 dollars, which is denoted as -16. (negative number). Each refresh saves 14 dollars, which is symbolised as +14. (positive number). The charged battery costs 16 dollars, which is denoted as -16. (negative number). The cost for the savings for using a battery that can be recharged is +14(positive number).
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Mr Cobb says that increasing something by 10% then decreasing it by 10% will just give you the original amount. Mr Pathuis says the new amount will be bigger. Mr Drake says the new amount will be smaller. Who is right and why?
Answer:
Mr Drake is right.
Step-by-step explanation:
Because you first decreased it by 10% of the ORIGINAL value.
You then increased it by 10% of the DECREASED value.
The percentages are the same percentages, but on different base amounts.
Simple example:
$100 decreased by 10% of $100 ($10) is $90.
$90 increased by 10% of $90 ($9) is $99.
Answer:
Mr Drake Is correct
Step-by-step explanation:
When you increase something by 10%, you multiply the original value by 1.1. When you decrease it by 10%, you multiply the increased value by 0.9. So the final amount is:
original value x 1.1 x 0.9 = 0.99 x original value
Therefore, the new amount will be slightly smaller than the original amount, and Mr. Drake is correct.
JKLM is a rhombus. m/MLN = (9a + 11)° m /KLM = (-4a + 66)°
Find the m2KJM.
The value of ∠2KJM for the rhombus is ∠JKM = 23 + (5a/2).
What is rhombus?A parallelogram is a particular instance of a rhombus. The opposing sides and angles in a rhombus are parallel and equal. A rhombus also has equal-length sides on each side, and its diagonals meet at right angles to form its shape. The rhombus is sometimes referred to as a diamond or rhombus. Rhombi or rhombuses are the plural forms of rhombus.
Let us suppose the measure of angle = x.
For rhombus all the four angles are congruent, thus,
∠MLN = (9a + 11)°
∠KLM = (-4a + 66)°
∠JLN = x
∠KLJ = x
The sum of the angles of a quadrilateral is 360 degrees, so:
∠JKL + ∠KLM + ∠MLN + ∠NJL = 360
Since JKL and NJL are vertical angles, they are congruent:
∠JKL = ∠NJL = x
Substituting in the given angles, we get:
x + (-4a + 66) + (9a + 11) + x = 360
2x + 5a + 77 = 360
2x = 360 - 5a - 77
2x = 283 - 5a
x = (283 - 5a)/2
Now, ∠JKM = 180 - ∠JKL
∠JKM = 180 - x
∠JKM = 180 - (283 - 5a)/2
Simplifying, we get:
∠JKM = 23 + (5a/2)
Hence, the value of ∠2KJM for the rhombus is ∠JKM = 23 + (5a/2).
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w is proportional to d
when d=35 the value of w 133
work out the value of w when d=25
Accοrding tο given proportional data when d = 25, the value οf W is 95.
What is prοpοrtiοnality?Relatiοnships between the twο variables that are prοpοrtiοnal οccur when their ratiοs are equal. Anοther apprοach tο cοnsider is that in a prοpοrtiοnal relatiοnship, οne variable is cοnsistently equal tο the οther's cοnstant value. This parameter is referred tο as the "cοnstant οf prοpοrtiοnality".
Accοrding tο the given infοrmatiοn:
Using the prοpοrtiοnality relatiοn W ∝ d, we can set up the fοllοwing prοpοrtiοn:
W/d = k, where k is the cοnstant οf prοpοrtiοnality.
Tο sοlve fοr k, we can use the values given in the prοblem:
133/35 = k
Simplifying, we get:
k = 3.8
Nοw, we can use this value οf k tο find the value οf W when d = 25:
W/25 = 3.8
Simplifying, we get:
W = 95
Therefοre, accοrding tο given infοrmatiοn when d = 25, the value οf W is 95.
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Given the pre-image ABCD and the image after a dilation, A'B'C'D', what is true about the polygons? Check all that apply.
The length AB is 2.
The length A'B' is 3.
The image is smaller than the pre-image.
The scale factor is Three-halves.
The scale factor is Two-thirds.
For the given dilation of the polygons the correct answer are The length AB is 2. The length A'B' is 3. The scale factor is Three-halves.
What is dilation?Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is a picture with the same shape as the original. Yet, there is a variation in the shape's size. The initial form should be stretched or contracted during a dilatation. The phrase "scale factor" describes this transition.
The distance formula for the coordinates is given as:
d(A, B) = |x1 - x2|
From the figure we observe that,
d(A, B) = |2 - 4|
d(A, B) = |-2|
d(A, B) = 2 units.
Hence, option A is correct.
Also, the length of A'B' is:
d(A', B') = |3 - 6| = |-3| = 3 units.
Hence, option B is correct.
The original shape is called the pre-image in a transformation (in this example, a dilation), and the transformed shape is called the image.
The third response is untrue since the picture is larger than the pre-image.
The scale factor of the images is:
2k = 3
k = 3/2.
Hence, option 4 is correct.
The last option is also false, as the scale factor is already determined.
Hence, for the given dilation of the polygons the correct answer are The length AB is 2. The length A'B' is 3. The scale factor is Three-halves.
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The complete question is:
Create an exponential equation passing through points (1960, 179323175) and (2010, 308745538) Round (a) and (b) to 3 decimal places
The exponential function passing through the points (1960, 179323175) and (2010, 308745538) is given as follows:
y = 0.1(1.01092581)^x.
How to define the exponential function?The standard definition of an exponential function is given as follows:
y = ab^x.
In which the coefficients a and b are explained as follows:
a is the initial value.b is the rate of change.The points for this problem are given as follows:
(1960, 179323175) and (2010, 308745538).
Considering that between 1960 and 2010 there is an increase of 50 in the input, the parameter b is obtained as follows:
b^50 = 308745538/179323175
b = (308745538/179323175)^(1/50)
b = 1.01092581.
Hence:
y = a(1.01092581)^x.
When x = 1960, y = 179323175, hence the parameter a is obtained as follows:
a = 179323175/[(1.01092581)^1960]
a = 0.1.
Hence the function is:
y = 0.1(1.01092581)^x.
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A test has 12 problems, and each problem is worth 5 marks. Full marks are given for a correct answer, 2 marks are given if there is no answer, and no marks are given for an incorrect answer. Some scores between 1 and 60, are impossible to get on this test. What is the sum of these impossible scores?
To make things easier, consider the residue when each integer between equation 1 and 60 is divided by 5. The remainders might be one, two, three, or four.
What is equation?A math equation is a process that relates two statements by using the equals sign (=) to indicate equivalence. In algebra, an equation is a mathematical statement that proves the equality of two mathematical expressions. In the equation 3x + 5 = 14, for example, the equal sign separates the numbers 3x + 5 and 14. A mathematical formula may be used to understand the link between the two phrases written on opposite sides of a letter. Frequently, the logo and the software are the same. For example, 2x - 4 = 2.
0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 = 0 (if all answers are wrong or not attempted) (if all answers are incorrect or not attempted)
5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 = 60 (assuming all answers are accurate) (if all answers are correct)
10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 = 120 (assuming all answers are accurate and attempted twice) (if all answers are correct and attempted twice)
. The impossible scores may be obtained by locating all the numbers between 1 and 60 that cannot be stated as a sum of 0, 5, or 10.
To make things easier, consider the residue when each integer between 1 and 60 is divided by 5. The remainders might be one, two, three, or four.
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240
Use the ratio 1. What operation can you do on both terms to find
an equivalent ratio that has 1 as the second term?
Answer:
You need to first identify the dum it's always multiplication
hope this helps good luck
Trinagle abc is similar to triangle def. The following ratios of corresponding sides are equal. 8/10 = 16/20 = 4x+6/4x+11
The value of x is 0. This means that [tex]8/10 = 16/20 = 4x+6/4x+11[/tex], so the corresponding sides of triangles abc and def have the same ratio.
The similarity of two triangles can be determined by the ratio of their corresponding sides. In the case of triangles abc and def, the ratio of corresponding sides is [tex]8/10 = 16/20 = 4x+6/4x+11[/tex].
To calculate the value of x, we can use the first two ratios and cross-multiply. With 8/10 = 16/20, we get 8*20=16*10, which simplifies to 160=160. Therefore, the first two ratios are equal.
To calculate the value of x using the third ratio, we can use the same method. With 4x+6/4x+11, we get ([tex]4x+6)*(4x+11)=4x^2+44x+66[/tex]. This simplifies to [tex]4x^2+44x+66=4x^2+44x+66[/tex], so the third ratio is also equal.
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Complete question:
What is the value of x in the ratio 8/10 = 16/20 = 4x+6/4x+11?
ivy received a bank statement reposrting the recent changes to her account. the statement showed an overall increase in the account balance of $1,692.45. during the time shown on the statement, ivy was paid twice and withdrew a total of $1,876.23 to cover all her bills and expenses. how much (x) is each of ivay's paychecks? help me please
if Ivy received two Paychecks during the time period shown on the statement, each paycheck would be $1,784.34.
To find out how much each of Ivy's paychecks is, we need to subtract the amount she withdrew from her account from the overall increase in her account balance.
So, the calculation would be:
Overall increase in account balance - Total amount withdrawn = Total amount deposited
$1,692.45 - $1,876.23 = -$183.78
This means that Ivy actually spent more than she earned during the time period shown on the statement. Therefore, we cannot determine the amount of each of her paychecks with the given information.
However, if we assume that Ivy did not have any other income or expenses during the time period, we can use the following equation:
2x - $1,876.23 = $1,692.45
where x is the amount of each paycheck.
Simplifying the equation, we get:
2x = $3,568.68
x = $1,784.34
Therefore, if Ivy received two paychecks during the time period shown on the statement, each paycheck would be $1,784.34.
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Consider the following set of numbers:
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10)
What is the probability of drawing an odd number or a
multiple of 3?
The probability of drawing an odd number or a multiple of 3 is 1/5.
What is probability?Probability is simply the chance that something will happen.
Whenever the outcome of an event is uncertain, we can speak of the probability, or likelihood, of a particular outcome.
Analyzing events according to their probabilities is called statistics.
So, the given data set is:
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10)
Odd multiples of 3 are 3 and 9.
Then, the probability would be:
P(E) = 2/10
P(E) = 1/5
Therefore, the probability of drawing an odd number or a multiple of 3 is 1/5.
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What is the area?
6 ft:
6 ft
10 ft
square feet
Step-by-step explanation:
6x6x10 FT = 1 sq cube foot
The graph shows the predicted population of a town, z number of years after 2020. According to the graph, which statement is true?
According to the graph, the true statement is the population will increase more each year than the previous year. The Option B is correct.
What does population increase means?in geography context, a population growth means the increase in the number of humans on Earth. In human history, the population size was relatively stable. But with innovation and industrialization, energy, food, water, and medical care became more available and reliable.
On this graph, we can observed how the population increases from 80,000 to 100,000, 120,000, 140,000, 160,000, 180,000, 200,000, 220,000. 240,000, 260,000 and 280,000 on the Y-Axis. Therefore, the statement that population will increase more each year than the previous year is true.
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Beth’s grandma makes homemade jam every year Beth helps her grandma by covering each jar with plastic wrap before storing the jam. each jar has a diameter of 7cm and a height of 11cm this years Beths grandma made 12 jars of jam how many square centimeters of plastic wrap will Beth need to completely cover all the jars
Beth will need approximately 3365.76 [tex]cm^{2}[/tex] of plastic wrap to cover all 12 jars of jam.
What is a Circle?
A circle is simply a round shape that has no corners or line segments. It is a closed curve shape in geometry. The points of circle are at a fixed distance from the center.
So now, to calculate the surface area of each jar, we need to find the area of the circular top and the area of the rectangular side.
The area of the circular top can be calculated using the formula for the area of a circle:
[tex]A=\pi r^{2}[/tex], where r is the radius of the circle.
The diameter of the jar is given as 7 cm, so the radius is half of that:
r = [tex]\frac{7}{2}[/tex] cm = 3.5 cm
Therefore, the area of the circular top is:
A_top = [tex]\pi r^2[/tex] = π[tex](3.5)^{2}[/tex] = 38.48 [tex]cm^{2}[/tex]
The area of the rectangular side can be calculated using the formula for the area of a rectangle:
A_side = base x height
The base of the rectangle is the circumference of the circular top, which can be calculated using the formula:
C = 2πr
C = 2π(3.5) = 22 cm
So the base of the rectangle is 22 cm, and the height is 11 cm, since that is the height of the jar.
Therefore, the area of the rectangular side is:
A_side = base x height = 22 cm x 11 cm = 242 [tex]cm^{2}[/tex]
To find the total surface area of each jar, we can add the area of the circular top and the area of the rectangular side:
A_total = A_top + A_side = 38.48 [tex]cm^{2}[/tex]+ 242 [tex]cm^{2}[/tex] = 280.48 [tex]cm^{2}[/tex]
For 12 jars, the total surface area of plastic wrap needed would be:
Total area = 12 x A_total = 12 x 280.48 [tex]cm^{2}[/tex] = 3365.76 [tex]cm^{2}[/tex]
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molly has a $2500 down payment saved for this purchase, and the dealers $1500 cash allowance will come straight off her total. How much loan does molly need?
Based on the given question, Molly needs a loan of $1,000
What is a Loan?A loan occurs when one or more people, businesses, or other entities lend money to other people, businesses, or other entities.
The recipient incurs a debt and is often responsible for both the principal amount borrowed as well as interest payments until the debt is repaid.
How to calculate the amount of loan that Molly needs?
Molly has a $2500 down payment saved for a purchase
The dealer's cash allowance is $1500, this will be deducted from her total
The amount of loan that Molly needs can be calculated by subtracting the dealer's cash allowance from Molly's down payment
Loan= Down payment-cash allowance= 2500 - 1500= 1000
Hence Moly needs a loan of $1,000
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The area of the triangle below is 1/16 square centimeters. What is the length of the base. Express your answer as a fraction in simplest form
The length of the base is 1/64 and can be simplified to the fraction 1/64 = 1/64 in simplest form.
What does fraction mean?A fraction is a mathematical expression which represents a part of a whole. It is written as a ratio that compares two numbers, the numerator and denominator. The numerator indicates the number of parts, the denominator indicates the total number of parts that make up the whole. Fractions can be expressed as decimals, percentages, and other forms of representation.
To solve this problem, we must use the formula for area of a triangle. This formula states that the area of a triangle is equal to one-half the product of the base and the height. In this problem, the area of the triangle is given as 1/16 square centimeters. This means that the base times the height must equal 1/8.
To find the length of the base, we must isolate the base from the equation. To do this, we must divide both sides of the equation by the height. This will leave us with the equation base = 1/8/height. Since the height is unknown, we can solve for it by taking the reciprocal of the base. This will give us the equation height = 1/8/base.
Combining both equations, we can solve for the base by multiplying both sides of the equation by 1/8. This will give us the equation base = (1/8)(1/8) = 1/64. The length of the base is 1/64 and can be simplified to the fraction 1/64 = 1/64 in simplest form.
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Hey can someone help me pleaseeee SOLVE WITH EXPLANATION!!! >:(
help me bro help me bro help me bro help me bro help me bro
By writting all the numbers as decimals we can see that the lake that lost the least amount of water is the last one.
Which lake lost the least amount of water?The first lake lost a fraction of 5/6 of its total water.
The second lake lost the 85% of its water.
The last lake lost a fraction of 246/300 of its water.
We want to see which of these 3 numbers is the smaller one, we can write all of them as decimals ot get:
5/6 = 0.833
85% = 0.85
246/300 = 0.82
With this we conclude that the lake that lost the least amount of water is the last one.
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This is the same information as you’ll use in the next question.
The equation for the period of a pendulum is given by T space equals space 2 straight pi square root of straight L over 32 end root where T is the time (in seconds) and L is the length of the pendulum (in feet).
Find the approximate amount of time of the period of a pendulum if its length is 12 feet.
The approximate amount of time period of a pendulum with a length of 12 feet is 1.85 seconds.
What is calculus?Calculus is a branch οf mathematics that deals with the study οf change and hοw things change οver time.
We can use the given equatiοn fοr the periοd οf a pendulum:
T = 2π√(L/32)
Substituting L = 12, we get:
T = 2π√(12/32)
Simplifying:
T ≈ 1.85 seconds
Hence, the approximate amount of time of the period of a pendulum with a length of 12 feet is 1.85 seconds.
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What is 24/32 reduced as much as possible?
Answer:
3/4
Step-by-step explanation:
Hope this helps! Pls give brainliest!
I need helppp do these all plsss show workk too
1. A team of 7 construction workers worked together to build 3
sheds in 10 days. How much of a shed did each of them build?
2. The construction of an 80-meter bridge was finished in 12
weeks. How much of the bridge was built on average each
week?
3. A 4-story building is 29 feet tall. Between which two whole
numbers do the height of each story lie?
1. Josh used 3 packages of spaghetti to make dinner for 19
guests. How much did each guest have?
2. According to a recipe, 190 grams of sugar is needed to make 9
cupcakes. Between which two whole numbers does the weight
of sugar used for each cupcake lie?
3. A 2-liter pitcher of juice was poured into 8 cups. How much
juice was in each cup?
There was 5
8
of a pie left in the fridge. Daniel ate 1/4 of the leftover pie. How much of a pie did he have?
2. Olivia took out 8 glasses and poured juice from the pitcher. The
capacity of each glass is 3/10
liter. If there was enough juice for 6 glasses, how much juice was there?
3. Pam baked some cupcakes for her friends. She baked 24
cupcakes. Each cupcake is 2/15
pound. If she packed 6
cupcakes in each box, what is the weight of each box?
Answer:
number 2 is 4
Step-by-step explanation:
need the measure of angle ABC please
Answer:
∠ ABC = 38°
Step-by-step explanation:
given AB = DB then Δ ABD is isosceles with base angles congruent, that is
∠ BDA = ∠ BAD = 71°
the sum of the 3 angles in Δ ABD = 180° , so
∠ ABC + 71° + 71° = 180°
∠ ABC + 142° = 180° ( subtract 142° from both sides )
∠ ABC = 38°
Which expression has a value of 15 when p=12
Answer: p+3
Step-by-step explanation:
if p=12 and you need the answer to be 15, all you need to do is find 12+_= 15. Since 12+3=15 your answer would be p+3.
Nicole is a wedding organiser. The guests sit at a circular table with a diameter of 180cm each guest needs 7cm around the cicumference of the table. Their are 18 tables at the venu. There is a toptal of 145 guests. Are their enoughb tables
From the given data of Nicole's wedding organization, 18 tables at the venue is sufficient for the total 145 arriving guest.
To determine whether there are enough tables for the guests, we need to calculate the total circumference required for all the guests and compare it to the total circumference of the available tables. The circumference of a circle is given by the formula C = πd, where C is the circumference, d is the diameter, and π is the constant pi, approximately equal to 3.14.
For the circular table with a diameter of 180cm, the circumference is:
C = πd
= π x 180cm
= 565.2cm
Each guest needs 7cm around the circumference of the table, so the total circumference required for one guest is 7cm.
For 145 guests, the total circumference required is:
Total circumference required
= 145 guests x 7cm per guest
= 1015cm
Now, we can calculate the total circumference of all the tables available:
Total circumference of all tables
= 18 tables x 565.2cm per table
= 10,174.4cm
Since the total circumference required for the guests (1015cm) is less than the total circumference of all the available tables (10,174.4cm), we can conclude that there are enough tables for the guests. Therefore, there are enough tables at the venue for the 145 guests.
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What equation is created by this ordered pair (1,1) (2,2) (3,4) (4,7) (5,12)?
The answer will be as follows after answering the supplied question It is equation worth noting that this equation is a cubic polynomial.
What is equation?A math equation is a process that relates two statements by using the equals sign (=) to indicate equivalence. In algebra, an equation is a mathematical statement that shows the equivalence of two mathematical expressions. In the equation 3x + 5 = 14, for example, the equal sign separates the numbers 3x + 5 and 14. A mathematical formula may be used to understand the link between the two phrases written on opposite sides of a letter. Frequently, the logo and the software are the same. For example, 2x - 4 = 2.
The degree n Lagrange polynomial that passes through n+1 unique points (x0,y0), (x1,y1),..., (xn,yn) is given by:
[j=0 to n] L(x) [i=0 to n, ij] * yj (x - xi)/(xj - xi) (xj - xi)
We have 5 points in our situation, thus n = 4. We get the following results by plugging the provided points into the Lagrange polynomial formula:
[tex]L(x) = 1*(x-2)(x-3)(x-4)(x-5)/(-1123) + 2(x-1)(x-3)(x-4)(x-5)/(1123) + 4(x-1)(x-2)(x-4)(x-5)/(1123) + 4(x-1)(x-2)(x-4)(x-5)/(1123) (2123)+ 12(x-1)(x-2)(x-3)(x-4)/(432*1)[/tex]
When we simplify this expression, we get:
[tex]L(x) = x^3/3 - 3x^2/2 + 11x/6 - 1[/tex]
As a result, the equation of the curve passing through the given locations is:
[tex]y = x^3/3 - 3x^2/2 + 11x/6 - 1[/tex]
It is worth noting that this equation is a cubic polynomial.
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Add the number that would make the expression a perfect square. Next, write an
equivalent expression in factored form. Do not put spaces in your answers.
1. X2 + 3x+
= (x+
2. X2 + 0. 6x+
= (x+
a) We need to add 2.25 to the expression to make it a perfect square and equivalent expression is (x + 1.5)^2.
b) We need to add 0.09 to the expression to make it a perfect square and equivalent expression is (x + 0.3)^2.
a) To make the expression X^2 + 3x + ___ a perfect square, we need to add a number that is equal to half of the coefficient of x, squared. In this case, half of 3 is 1.5, and 1.5 squared is 2.25.
X^2 + 3x + 2.25 = (x + 1.5)^2
The equivalent expression in factored form is (x + 1.5)^2, which represents a perfect square trinomial.
b) Similarly, to make the expression X^2 + 0.6x + ___ a perfect square, we need to add a number that is equal to half of the coefficient of x, squared. In this case, half of 0.6 is 0.3, and 0.3 squared is 0.09. Therefore, we need to add 0.09 to the expression to make it a perfect square:
X^2 + 0.6x + 0.09 = (x + 0.3)^2
The equivalent expression in factored form is (x + 0.3)^2, which represents a perfect square trinomial.
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Use the clues to crack the code the number is greater than ten the value of the ones digit is ten times the value of the tenths digit Code number (5, 5, 7,
Given that there is only one digit left and the sum is more than 10, the third digit must be 7, which it is. and the pass code to open anything it is guarding is 5 5 7, which may be inputted.
To decode the code, we know that the number is more than 10 and has three digits: . Moreover, we are aware that the value of the ones digit is 10 times that of the tenths digit. The code is 5 5 7, as may be inferred from the provided hints.
Given that the code contains two 5s, the first digit must be 5. As the value of the ones digit is 10 times that of the tenths number, the second digit must likewise be 5, which is 5. The number is bigger than 10, hence the third digit must be 7, as it is the only one still present.
In order to open whatever it is guarding, the code, which is 5 5 7, may be input.
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solve the following system of equation y=x^2-32 y=x+10
x=(17,4)^2+(−340,−80)+58y= y^2−20y+68
y=y^2−20y+68
3⋅5 1 +2 can anyone help with this I really tried my best and I've been hard working at this but I'm still stuck at it
35 1 + 2 = 17. To remember the mathematical operations in the correct order, people frequently use the abbreviation PEMDAS.
You must follow the order of operations, often known as PEMDAS, to evaluate this equation. Parentheses, exponents, multiplication and division (left to right), addition, and subtraction are all referred to as PEMDAS (from left to right).
When using PEMDAS, you would first calculate the output of the parenthesized expression—which is 3 times 5—and then add 2.
Thus, 35 1+2 reduces to:
3*5 1 + 2 = (3*5) + 2 (first calculate within the parentheses) = 15 + 2 (conduct multiplication) = 17 (perform addition)
Hence, 35 1 + 2 = 17.
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Which is the smallest?
(a) -1,
(b) -1/2,
(c) 0,
(d) 3.
Answer:
A
because it is a negative number and because it is less than -1/2
Answer:
Step-by-step explanation:
the answer is -1 as negative integers become smaller as they go to the left.
no problem
42. Let P(A)=0.70,P(B∣A)=0.55 , and P(B∣A C )=0.10 . Find the following probabilities: a. P(A C ) b. P(A∩B) and P(A C ∩B) c. P(B) d. P(A∣B) 43. Complete the following probability table.
Here is the probability table to be completed: A B P(A∩B) P(A∣B) 0.54 0.47 0.38 0.70 0.46 0.32 0.30 x 0.28 0.27 0.42 0.20 0.15 0.35 0.45
42. Let P(A) = 0.70, P(B∣A) = 0.55, and P(B∣AC) = 0.10. The following probabilities are found: a. P(AC) = 0.30 b. P(A∩B) = P(B∣A) × P(A) = 0.55 × 0.70 = 0.385 P(AC∩B) = P(B∣AC) × P(AC) = 0.10 × 0.30 = 0.03 c. P(B) = P(B∣A) × P(A) + P(B∣AC) × P(AC) = 0.55 × 0.70 + 0.10 × 0.30 = 0.415 d. P(A∣B) = P(B∣A) × P(A) / P(B) = 0.55 × 0.70 / 0.415 = 0.9289 43. Here is the probability table to be completed: A B P(A∩B) P(A∣B) 0.54 0.47 0.38 0.70 0.46 0.32 0.30 x 0.28 0.27 0.42 0.20 0.15 0.35 0.45
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