Answer:
an=7/2
Step-by-step explanation:
an=a(n-1)+15
given a1=8
multiply; a(n-1)
a(n-1)=an-a1
enter an-a1 in the equation
an=an-8+15
an=an+7
collect like terms;
an-an=(-7)
divide by negative both side
an-an/(-)=(-(-7)
2an=7
divide by 2 both side
2an/2=7/2
therefore the answer is an=7/2
subtract the equation[tex](7x - 2) - (3x - 5)[/tex]
If a rectangular solid has a volume of 32 and then each dimension is doubled, what happens to the volume? A. The volume is multiplied by 3.B. The volume is multiplied by 8.C. The volume is multiplied by 6.D. The volume is doubled.
To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height
V1=LWH= 32
[tex]\begin{gathered} V2=2L\cdot2W.2H \\ V2=8(\text{LWH)} \end{gathered}[/tex]Ex
2*4*4=32
Let's multiply all dimension by 2
4 * 8 * 8 =256
Answer:B. The volume is multiplied by 8.
Which equation demonstrates the identity property?? (question 2\10 in 6th g math) ( be fast pls need this right now)
A. (3x4)+(3x5)=3(4+5)
B. 3x5=5x3
C. 3(4x5)=(3x4)x5
D. 4x1=4
(15 points)
Answer: The identity property of multiplication states that multiplying a number by one will result in the original number. 1 * x = x
Step-by-step explanation:
a)
12 +15 = 3 *9
27= 27
1
B) 15=15
=1
c) 3*20=12*5
60=60
=1
d) 4=4
=1
Kelly likes to fish at the lake near her house. She caught 8 fish last week, measured them, and put them back in the lake. The lengths of the fish, in inches, are shown.
9, 12, 10, 8, 11, 12, 13, 6
Assuming this data is representative of the fish in the lake, what is the mean length of the fish in the lake?
Answer:
the mean is 12
Step-by-step explanation:
a mean is a set of numbers of two or more numbers
so becuase 12 repeats there, its your mean
With the triangle below, find AB when CD is 15
Answer:
30 units
Step-by-step explanation:
point D is the midpoint of the bottom line, and we can infer 2 similar triangles from the markings on the triangle,
15 × 2 =ab
as CD is in the middle of the large triangle, the scale factor from the small triangle to the large triangle is 2.
What's a corner of a square? Two lines where they meet
Answer: A square is a shape with four equal-length sides and four corners that are all right angles.
an oil prospector will drill a succession of holes attempting to find a productive well. assume the probability of being successful on any drilling is 0.15, and that outcomes of drillings are independent. what is the expected number of drilling attempts needed in order to find a productive well? what is the probability that the first productive well is found on the third attempt? if the prospector can only afford to drill five holes, what is the probability that the prospector will fail to find a productive well
The oil prospector drills wells with a success probability of 0.15. The probability of finding the first productive well in the third attempt is 0.108375 and the probability that the prospector fails to find productive well in the first 5 attempts is 0.26724 or 26.724%
Let Y be the number of drilling trials on which the prospector will find the first productive well. As Y is a geometric random variable with p=0.15 where p is the probability of being successful on any drilling. Let q = 1- p be the probability of being unsuccessful in drilling a well. q = 1 - 0.15 = 0.85
The probability that the first productive well is found on the third attempt is when outcomes are independent
P(Y=3) = q * q * p = 0.85^2* 0.15 = 0.108375
We want to find the probability that 5 wells are drilled and not a productive one is found. That is we need to find p(Y>5). Y is a binomial random variable with several wells drilled at most as n. Given n=5 and p=0.15, q = 0.85
We know the geometric probability is p(y) = [tex]q^{y-1}[/tex]p
Then corresponding probabilities are added
p(Y≤ 5 ) = p(0) + p(1) +p(2) + p(3) +p(4) +p(5)= 0.73276
Using the complement rule:
p(Y>5) = 1 - p(Y≤5) = 1- 0.73276 = 0.26724 = 26.724 %
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Given f(x)=x+2 and g(x)=4-x^2 find the following (g o f)(x)
Given functions are
[tex]\begin{gathered} f(x)=x+2 \\ g(x)=4-x^2 \end{gathered}[/tex]Then,
[tex]\begin{gathered} (g\circ f)(x)=g(f(x)) \\ =g(x+2) \\ =4-(x+2)^2 \\ =4-(x^2+4x+4) \\ =4-x^2-4x-4 \\ =-(x^2+4x) \end{gathered}[/tex]Thus,
[tex](g\circ f)(x)=-(x^2+4x)[/tex]Miguel is going to see a movie and is taking his 5 kids. Each movie
ticket costs $12 and there are an assortment of snacks available to
purchase for $5 each. How much total money would Miguel have to
pay for his family if he were to buy 5 snacks for everybody to share?
How much would Miguel have to pay if he bought a snacks for
everybody to share?
Total cost with 5 snacks:
Total cost with a snacks:
3.525 divided by 0.25 find the quotient
Answer:
3.525/0.25=14.1
Step-by-step explanation:
Answer: 14.1
Step-by-step explanation:
3.525/0.25 = 14.1
Since "quotient" just means the result of two numbers being divided together. Therefore we would divide the two numbers you just gave.
Answer the question below
Answer:
(a)
[tex] log_{2}(7) + log_{2}(3) = log_{2}(21) [/tex]
(b)
[tex] log_{9}(7) - log_{9}(8) = log_{9}( \frac{7}{8} ) [/tex]
(c)
[tex] log_{2}( \frac{1}{9} ) = - 2 log_{2}(3) [/tex]
suppose 52% of the students in a university are baseball players. if a sample of 436 students is selected, what is the probability that the sample proportion of baseball players will be greater than 45%? round your answer to four decimal places.
Probability of proportion will be greater than 3.18
What is meant by Probability of Proportion?Probability of Proportion: Probability represents the chances of some event happening. It is theoretical. Proportion summarizes how frequently some event actually happened
Population Proportion, p=0.52
sample proportion p'=0.45
sample size be n =436
probability of proportion will be greater than 52%
[tex]p(p' > 0.45)=p(p'-p\sqrt{p(1-p)/n} )[/tex]
[tex]=-p(z > (0.45-0.52)/\sqrt{0.52((1-0.52)/436}[/tex]
=P(z>-3.18)
probability of proportion will be greater than 3.18
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Question 10 of 183Consider the line y = -x +6.(a) Find the equation of the line that is parallel to this line and passes through the point (2, 6).(b) Find the equation of the line that is perpendicular to this line and passes through the point (2, 6).Note that a graphing calculator may be helpful in checking your answer.
Answer:
Part A:
[tex]y=-x+8[/tex]Part B:
[tex]y=x+4[/tex]Step-by-step explanation:
Part A:
Remember that two parallel lines have the same slope. This way, we can conclude that the slope of this particular line is:
[tex]m_a=-1[/tex]Since we already know that this line passes through point (2,6), we can use this point, the slope we've found and the slope-point form to get an equation for the line:
[tex]\begin{gathered} y-6=-1(x-2) \\ \rightarrow y-6=-x+2 \\ \\ \Rightarrow y=-x+8 \end{gathered}[/tex]Therefore, we can conclude that the equation of this line is:
[tex]y=-x+8[/tex]Part B:
Remember that the product between the slopes of two perpendicular lines is -1. This way, we'll have that:
[tex]\begin{gathered} -1\times m_2=-1 \\ \\ \Rightarrow m_2=1 \end{gathered}[/tex]Since we already know that this line passes through point (2,6), we can use this point, the slope we've found and the slope-point form to get an equation for the line:
[tex]\begin{gathered} y-6=(x-2) \\ \rightarrow y=x+4 \end{gathered}[/tex]Therefore, we can conclude that the equation of this line is:
[tex]y=x+4[/tex]Bob decides to quit his job as a teacher in which he makes $50.000 to open a restaurant. The explicit cost of running his restaurant is $500.000 while the revenue go his business is 525,000. What is his accounting profit or loss? What is his economic profit or loss? What is the implicit cost in this example?
1. Bob's accounting profit is $25,000.
2. Bob's economic loss is $25,000.
3. The implicit cost in this example is the teacher's salary of $50,000 Bob could have got, working as a teacher.
What are explicit and implicit costs?Explicit cost refers to the accounting cost that a business incurs.
Explicit cost is different from implicit cost because implicit cost involves an opportunity cost.
What are accounting profit and economic profit?Accounting profit is the difference between total revenue and explicit cost.
Economic profit is the difference between accounting profit and opportunity cost or the cost of forgone alternatives.
Salary as a teacher = $50,000
Explicit restaurant cost = $500,000
Revenue = $525,000
Accounting profit = $25,000 ($525,000 - $500,000)
Economic loss = -$25,000 ($525,000 - $500,000 - $50,000)
Thus, whereas Bob makes an accounting profit of $25,000, he actually incurs an economic loss of $25,000 by forgoing his teacher's salary.
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Please help me, it is sooooo important
Answer:
1: figures a and b
2: figures a and b
3: figure a
Step-by-step explanation:
2 & 3:
all squares are rectangles, but not all rectangles are squares
Hope this helps!
Type the number of the spelling rule that applies to the word.
noisy
Answer:
Step-by-step explanation:
if a word ends in a consonant plus "y" , we change "y" to "i" and add "es" to form the plural; "er" for comparative and "est" for superlative
noisiest and noisier
Answer:
Step-by-step explanation:
5
the measure of the angle of a triangle are shown in the figure below. solve for x
Answer:
Step-by-step explanation:
A triangle is 180°
One angle is a right angle = 90°
And one is an acute angle of 27°
So 90+27= 117
You subtract 180 with 117 to get the answer of
X= 63°
2(5+x)-1=3x+9splve for x
2(5 + X) - 1 = 3X + 9
Step 1: Expand the terms in the bracket
=> 2 x 5 + 2 x X - 1 = 3X + 9
=> 10 + 2X - 1 = 3X + 9
Step 2: collect like terms
=> 2X - 3X = -10 + 1 + 9
=> -X = 0
Please help! It’s urgent! 2+4x-12-2y+1x
The result of the algebraic expression is 5x - 2y - 10.
Algebraic Expression:
An algebraic expression is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.).
Given,
Here we have the expression 2+4x-12-2y+1x.
Here we have to solve this expression and we have also find simplified form of it.
In order to solve it,
First we have to write the given expression,
=> 2+4x-12-2y+1x
Now, we have to combine the like terms, then we get,
=> (4x + 1x) + (2 - 12) - 2y.
Now, we have to perform the appropriate operation on it,
Then it can be written as,
=> 5x + (-10) - 2y
Now we have to write the equation in the standard form, then we get the result as,
=> 5x - 2y - 10.
Therefore, the resulting standard form of the equation is 5x - 2y - 10.
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which equation represents a linear function
The linear function will be;
⇒ y = - 4x + 5
What is linear expression?
A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.
Given that;
The functions are,
1. y = - 3x² + 2
2. y = 2x²
3. y = - 4x + 5
4. y = x³
Now,
Since, The linear function has a variable raised to the first power.
Clearly, In first equation;
The highest power of the variable is 2.
So, It is not a linear function.
Clearly, In second equation;
The highest power of the variable is 2
So, It is not a linear function.
Clearly, In third equation;
The highest power of the variable is 1.
So, It is a linear function.
Clearly, In fourth equation;
The highest power of the variable has power 3.
So, It is not a linear function.
Therefore, The linear function will be;
⇒ y = - 4x + 5
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6
Pens cost 20p each.
Rulers cost 60p each.
Saj buys some pens and some rulers.
He buys 8 rulers.
The total cost is £10
How many pens does he buy?
Answer:
26 pens
Step-by-step explanation:
Let P and R be the numbers of Pens and Rulers Saj purchases.
The cost of P Pens and R Rulers:
Pens = P(20p)
Rulers = R(60p)
P(20p) + R(60p) = £10
P(0.20) + R(0.60) = 10
R = 8
P(0.20) + (8)*(0.60) = 10
P(0.20) + 4.8= 10
P(0.20) = 5.2
P = (5.2/0.20)
P = 26 pens
CHECK:
8 Rulers = 8*(60p) = 480p
26 Pens = 26*(20p) = 520p
Total = £10
y=3/5x+3 graph the line
We want to graph the line:
[tex]y=\frac{3}{5}x+3[/tex]For doing so, we will choose two different x-values, and we will find its correspondent y-values. This gives us two different points, and when we trace the line that passes through those points, we will have the line we wanted.
In this exercise, we will choose x=0, and x=5.
For x = 0
[tex]y=\frac{3}{5}(0)+3=0+3=3[/tex]This gives us the point (0,3).
For x = 5
[tex]y=\frac{3}{5}(5)+3=\frac{15}{5}+3=3+3=6[/tex]This gives us the second point: (5,6).
Now, graphing the points on a cartesian plane, and drawing the line between them, we obtain:
Frigidia is a colony in Antarctica. The colony is 1,000 square kilometers in size. Currently, 30,000 people live there. Last year, 10,000 children were born and 2,000 people immigrated. 20,000 people died and 5,000 emigrated. It is believed that the island could support up to 50 people per square kilometer.
The current growth rate is ___.
4.3 %
-4.3%
-43%
43%'
Answer:
ewan ko po pero yan yung alam ko4.3%
I hope its help
Shawn and his bike have a total mass of
48.1 kg. Shawn rides his bike 1.5 km in
12.5 min at a constant velocity.
The acceleration of gravity is 9.8 m/s
2
.
What is Shawn’s kinetic energy?
Answer in units of J.
If the velocity is 2 meters per second. Then the kinetic energy of the Shawn will be 96.2 Joules.
What is kinetic energy?The energy an item has as a result of motion is known as kinetic energy in mechanics. It is described as the effort required to move a mass-determined body from rest to the indicated velocity. The body holds onto the kinetic energy it acquired during its propulsion until its speed changes.
The kinetic energy is given as,
KE = (mv²)/2
Where m is the mass and v is the velocity.
Shawn and his bike have a total mass of 48.1 kg. Shawn rides his bike 1.5 km in 12.5 min at a constant velocity.
The velocity is given as,
v = 1.5/12.5
v = 0.12 km/min
v = 0.12 x 1000 / 60
v = 2 m/s
Then the kinetic energy of Shawn will be given as,
KE = (48.1 x 2²) / 2
KE = 48.1 x 2
KE = 96.2 J
If the velocity is 2 meters per second. Then the kinetic energy of the Shawn will be 96.2 Joules.
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Write an equation in slope-intercept form of the line that passes through the given points. PLEASE HELLLPPPPPPPPP.....
The equation of the table in slope intercept form is y = - 5 / 2x - 1
How to write equation in slope intercept form?Linear equation can be represented in various form, such as standard form, point slope form and slope intercept form.
But the equation of the table below will be represented in slope intercept form.
The equation in slope intercept form can be represented as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, using (-4, 9)(-2, 4)
m = 4 - 9 / -2 + 4
m = - 5 / 2
Hence, let's find the y-intercept using (0, -1)
y = - 5 / 2x + b
-1 = - 5 / 2(0) + b
b = -1
Therefore, the equation is y = - 5 / 2x - 1
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3. The diameter of a spherical balloon shrinks to one-half of its original size.How does this affect the volume?Hint: Test two scenarios and compare the volumes! Show your work!!A. The volume is cut in halfB. The volume doublesC. The volume is 1/8 the original volumeD. The volume is 1/4 the original volume
Answer:
C. The volume is 1/8 the original volume
Explanation:
Step 1. To find how the volume changes if the diameter is reduced to one-half of the original size, we will test two scenarios:
• In the first scenario, the diameter will be 2, and in the second scenario, the diameter will be one-half of 2 which is 1.
We will find the volume for these two cases and see how it changes.
Step 2. For a diameter of d=2.
If the diameter is 2, the radius is:
[tex]\begin{gathered} r=d/2 \\ r=2/2 \\ r=1 \end{gathered}[/tex]Using the volume formula for a sphere:
[tex]V=\frac{4\pi}{3}r^3[/tex]In this case:
[tex]V=\frac{4\pi}{3}(1)^3[/tex]We will call this volume, V1:
[tex]V_1=\frac{4\pi}{3}[/tex]Step 3. Now we will find the volume for the second case in which the diameter is d=1.
The radius is:
[tex]\begin{gathered} r=d/2 \\ r=1/2 \\ \end{gathered}[/tex]Using the same formula for the volume:
[tex]V=\frac{4\pi}{3}(\frac{1}{2})^3[/tex]Solving the operations:
[tex]V=\frac{4\pi}{3}(\frac{1}{8})^[/tex]We will call this V2:
[tex]V_2=\frac{4\pi}{3}(\frac{1}{8})^[/tex]Step 4. As you can see, the first part of the previous expression is V1:
[tex]\begin{gathered} V_{1}=\frac{4\pi}{3} \\ V_2=\frac{4\pi}{3}(\frac{1}{8}) \end{gathered}[/tex]Therefore:
[tex]V_2=V_1(\frac{1}{8})[/tex]The second volume is the first volume multiplyed by 1/8 ⇒ it is 1/8 of the original volume.
Answer:
C. The volume is 1/8 the original volume
A data set includes the following numbers: eighteen over 5, two and four fifths, 97%, and 1.74. Part A: What is the order of the numbers from least to greatest? Write your answer using the numbers in their original form. (2 points) Part B: Did you use estimation or rewrite the numbers in equivalent forms? Please explain your answer. (2 points)
Answer:the answer is a
Step-by-step explanation:
n is an integer. What are the possible values of n? A -2, -1, 0, 1, 2, 3, 4, 5, 6 B BUDE -2 < n ≤ 6 C -1, 1, 2, 3, 4, 5, 6 -2, -1, 0, 1, 2, 3, 4, 5 -2, -1, 0, 1, 2, 3, 4, 5, 6, 7 E -1, 0, 1, 2, 3, 4, 5, 6
Answer: Choice E
Explanation:
The given inequality means n is between -2 and 6. We exclude -2 itself, but include 6.
The set of integer values is -1, 0, 1, 2, ..., all the way up to 6.
Which IRS form is provided at the end of the year by employers, so employees can use it to file taxes?
The IRS form is provided at the end of the year by employers, so employees can use it to file taxes is Form W-2.
What is Form W-2?Form W-2 can be described as the form that is been offered from the Internal Revenue Service which can be considered as the (IRS) tax form .
It should be noted that this form is been used in the United States so that the wages that is been paid to employees as well as their taxes can be reported. withheld from them
It should be noted that the form is been provided when the year is coming to an end by employers.
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How much time will it take for these two vehicles to meet?
34 miles, 55mph, 30mph
The time for the two vehicle will meet is 0.4 hours .
How to find the time the two vehicles will meet?According to the diagram, the first car drive at a speed of 55 miles per hour and the second vehicles drives at a speed of 30 miles per hour.
The distance apart of the cars is 34 miles.
Speed is measured as the ratio of distance to the time in which the distance was covered.
In other words, speed is the distance travelled per unit of time.
speed = distance / time
Therefore,
distance = speed × time
Hence,
let
x = time use by the car
Therefore, the total distance can be express as follows:
55x + 30x = 34
85x = 34
divide both sides by 85
85x / 85 = 34 / 85
x = 0.4 hours.
Therefore, it will take 0.4 hours for the cars to meet.
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