Using the absolute value function, the value that is the opposite of being short $3.96 is: x + 3.96.
What is the absolute value function?The absolute function is defined by:
|x| = x, x ≥ 0.|x| = -x, x < 0.It measures the distance of a point x to the origin, that is, |2| = |-2| = 2.
For this problem, the number is of $3.96, that is:
|x| = 3.96.
Hence:
Short of $3.96 means that x = -3.96.The opposite is the other solution, of x = 3.96.More can be learned about the absolute value function at https://brainly.com/question/24734454
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Answer:
Impressive explanation
Exactly what I needed
I double checked this and it's fine
Better than from a teacher!
Step-by-step explanation:
Impressive explanation
Exactly what I needed
I double checked this and it's fine
Better than from a teacher!
What is the measure of the base of the rectangle if the area of the triangle is ?
A. 8 ft
B. 16 ft
C. 32 ft
D. 64 ft
HELP ME
Answer:
32ft
Step-by-step explanation:
11. Which expression has the least value?
B √81 - √25
C √64 + √25
D √64 - 31
Answer:D
Step-by-step explanation:
√81 - √25 = 9 - 5 = 4
√64 + √25 = 8 + 5 = 13
√64 - 31 = 8 - 31 = -23
If a car travels at a rate of 74 miles per hour, then how long will it take the car to travel 481 miles?<3
HELPPP!! Please!! algebra stuff
The cube root of 27 is 3√t=3, which indicates that 3√t.
Cube root, or the cube root of a number, is simply the square root of that number. It can be used in various mathematical contexts to simplify complicated calculations. For example, when dealing with complex fractions and rational numbers (numbers that have a decimal point), the cube root can be used to solve problems more quickly and accurately.
We are aware that 5×5×5×5 Equals 125. Therefore, 125 is known as the cube of 5. Finding a number's cube root, on the other hand, entails doing the cube operation in reverse and is symbolised by the symbol.
A number x's cube roots are the integers y that answer the equation.
3√t is the cube root of 27,so 3√t=3 .
3√3
3×3×3=27
Hence the correct answer Is option (b) 3√t is the cube root of 27,so 3√t=3 .
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Find an equation for the perpendicular
bisector of the line segment whose
endpoints are (-8, -2) and (4, 6).
Answer: y=-1.5x-1
Step-by-step explanation:
A(-8,-2) B(4,6) C(x,y) - the midpoint of the line
1. Calculate the coordinates of the midpoint of the segment using the formula:
[tex]\displaystyle\\C(x,y)=(\frac{x_A+x_B}{2} ,\frac{y_A+y_B}{2})\\\\ C(x,y)=(\frac{-8+4}{2},\frac{-2+6}{2})\\\\ C(x,y)=(\frac{-4}{2} ,\frac{4}{2})\\ C(x,y)=(-2,2)\\Thus,\ C(-2,2)[/tex]
2. Find the slope of the line AB using the formula:
[tex]\displaystyle\\The\ slope=\frac{y_B-y_A}{x_B-x_A} \\\\The\ slope=\frac{6-(-2)}{4-(-8)} \\\\The\ slope=\frac{6+2}{4+8} \\\\The\ slope=\frac{8}{12} \\\\The\ slope=\frac{2}{3}[/tex]
3. Find the slope of the line perpendicular to the line AB:
[tex]\displaystyle\\The \ \perp slope=-\frac{1}{the\ slope} \\\\The \ \perp slope=-\frac{1}{\frac{2}{3} } \\\\The \ \perp slope=-\frac{3}{2}[/tex]
4. Find an equation for the perpendicular bisector of the line segment:
[tex]\displaystyle\\The \perp\ slope=\frac{y-y_C}{x-x_C} \\\\-\frac{3}{2}=\frac{y-2}{x-(-2)} \\-\frac{3}{2} =\frac{y-2}{x+2} \\[/tex]
Multiply both parts of the equation by (x+2):
[tex]\displaystyle\\y-2=(-\frac{3}{2} )(x+2)\\\\y-2=-\frac{3}{2}x+(-\frac{3}{2})(2)} \\\\y-2=-\frac{3}{2}x-3 \\\\y-2+2=-\frac{3}{2}x-3+2\\\\ y=-\frac{3}{2}x-1\\\\ y=-1.5x-1[/tex]
Assume x is a random variable with discrete uniform distributionstarting from 1000 and ending to 1500.(10 points). what are the mean and variance of the distribution.
According to the question, let us consider the random variable for the discrete uniform distribution to be x.
What is the discrete uniform distribution?
Uniform distribution is another name for the rectangular distribution. And it is the family of the symmetric probability distribution. It has constant probability and the outcomes are equal in nature.
The standard formula for the mean and the variance of the distribution in terms of the lower bounds(L) and the upper bounds(U) is as follows:
Mean = (L+U)/2 ;
Variance = (L+U)/12
The value of the lower bound(L) is 1000 and the upper bound(U) is 1500.
The calculation is as follows:
Mean = (1000+1500)/2 = 1250
Variance = (1000+1500)/12 = 208.3
Therefore, the values are: mean = 1250 and variance = 208.3
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You are deciding between two landscaping companies to work on your backyard renovation. Company A charges a $50 fee to come out to your house plus $10 an hour to work. Company B charges $15 per hour and $30 to show up. How many hours will it take for both companies to equal the same price, and how much money will it cost at that time?
It will take 4 hours for both companies to equal the same price and it will cost $ 90 at that time.
There are two companies:
Company A-
It charges $ 50 to come and $ 10 per hour to work.
Let the number of hours worked be x
The equation will be:
Price of Company A = 50 + 10 x …(1)
Company B-
It charges $ 30 to come and $ 15 per hour to work.
The equation will be:
Price of Company B = 30 + 15 x …(2)
Now, for the same prices, we will equate (1) with (2):
50 + 10 x = 30 + 15 x
15 x - 10 x = 50 - 30
5 x = 20
x = 20 / 5
x = 4
At x = 4, price of the companies will be:
A = 50 + 10 (4) = 50 + 40
A = $ 90
B = 30 + 15(4)
B = 30 + 60
B = $ 90.
Therefore, it will take 4 hours for both companies to equal the same price and it will cost $ 90 at that time.
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2015 > Chapter 1: Measuring and Constructing Angles > Section Exercises
11
Find the measure of ZCOD.
10 20
10 170 160 150
m/COD-
do 140 130 120 110 100
A
Classify ZCOD
-88
с
-88
O
100 110 120
LCOD is a(n) acute ✓angle.
D
E
a
B
15 20 10
170 10
The measure of angle COD will be 85° and it will be an acute angle.
If an angles is less than 90°, it is known as an acute angle. If it is more than 90°, it will be an obtuse angle. And if it is equal to 90, then it is called a right angle.
Here, we are given a a figure and we need to find the measure of ∠COD.
∠COD can be written as ∠AOB - ∠AOC - ∠DOB
Here, ∠AOB = 180° (straight line)
∠AOC = 30°
and ∠DOB = 65°
Thus, ∠COD = 180 - 30 - 65
∠COD = 180 - 95
∠COD = 85°
As ∠COD is less than 90°, it will be an acute angle.
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if one rectangular lot with 1350' of frontage contains 25 acres, how many acres would the lot next to it contain if it has a 900' frontage and is the same width as the first lot? select one: a. 1.67 acres b. 16.67 acres c. 26.00 acres d. 14.67 acres
The correct option is b. 16.67 acres would the lot next to it contain if it has a 900' frontage and is the same width as the first rectangular lot.
What do you mean by a rectangle's area?The quantity of space occupied by a flat surface with a specific shape is referred to as the area. It is calculated as a "number of" square units (square centimeters, square inches, square feet, etc.). The quantity of unit squares that can fit inside a rectangle called its area. Blackboards, painting canvases, laptop monitors, and other flat surfaces are a few instances of rectangular shapes.
Area of a Rectangle = (Length × Breadth) square units.
We know that the Area = Length × Width.
For first lot:
43,560 (sq. ft. in acre) × 25 acres = 1,089,000 sq. ft.
We know that 1,089,000 sq. ft. = Width × 1,350 (length). Therefore width =1,089,000 / 1,350 = 806.67.
From the problem the lots were of the same width.
In second lot: Area =806.67 (width) × 900( length)= 726,000 sq. ft. Therefore:
⇒726,000 (area) / 43,560 = 16.67 acres.
The correct answer is: b. 16.67 acres
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-3/7 x 3/8
why do i need 2o characters hello hello hello
Answer:− 9/56
Step-by-step explanation: hope this helps you!!!!
both nadia and samantha are applying to insure their car against theft. nadia lives in a secure neighborhood, where the probability of theft is 10%. samantha lives in a lesser secure neighborhood where the probability of theft is 25%. both nadia and samantha own cars worth $10,000, and are willing to pay $100 over expected loss for insurance. if the insurance company can correctly anticipate the adverse selection,
The minimum will be $ 0. If the theft occurs , company will have to pay the claim. Hence Option B will be correct.
What is probability and example?
The variety of strategies for success. the total number of outcomes that could occur. For instance, there is only one way to receive a head and there are a total of two possible outcomes, hence the probability of flipping a coin and getting heads is 1 in 2. (a head or tail). P(heads) = 12 is what we write.
$ 0 and $ 200
This is because both the insured will pay $ 100 premium each , hence total revenue of company can be $ 200 maximum.
The minimum will be $ 0. If the theft occurs , company will have to pay the claim. Hence Option B will be correct.
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In a store opening promotion, Fred advertises T-shirts: "Buy 4 get 1 free." If the cost of 1 T-shirt is $15.97, what is the discount rate, as a percent?
The discount rate, as a percent is 20%
How to determine the discount rate, as a percent? The given parameters are:
Cost of 1 T-shirt = $15.97
Also, we have
4 purchases gives 1 free item
So, the discount rate is
Discount = 1/(1 + 4) * 100%
Evaluate the sum
Discount = 1/5 * 100%
Evaluate the product
Discount = 20%
Hence, the discount rate, as a percent is 20%
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PLEASE SHOW WORK
STEP-BY-STEP
The solutions for the expressions are given as follows:
6. y = 12.
7. w = -20.
8. x = 30.
What is the solution to expression 6?The expression is given by:
4/3y = 16.
Applying cross multiplication:
4y = 48
y = 48/4
y = 12.
What is the solution to expression 7?The expression is given by:
w/(-2.5) = 8
Applying cross multiplication:
w = -2.5 x 8
w = -20.
What is the solution to expression 6?The expression is given by:
(1/5)x - 2 = 4.
Isolating x:
(1/5)x = 6.
Applying cross multiplication:
x = 6 x 5
x = 30.
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WILL GIVE BRAINLIEST IF ANSWERED PROPERLY AND POINTS, WILL REPORT IF U SPAM
Answer:
Step-by-step explanation:
[tex]\displaystyle\\ax+by=c\\\\by=c-ax\\\\\frac{by}{b}=\frac{c-ax}{b} \\\\y=\frac{c-ax}{b}[/tex]
Answer: Basically, bottom is first. The top is second, and the middle one is last.
Step-by-step explanation:
1. Super Duper Easy, first, subtract ax, making it by = c - ax
2. Then, divide b , so by/b = c/b - ax/b
3. Becoming y = c/b - ax/b
Six friends each use a $2-off coupons to buy themselves a movie tickets. They sped be a total of $42. What is the price of one movie ticket without the coupon?
Answer:
Since there are a total of six friends and they each use a $2 off coupon then what you first want to do is multiply:
2 times 6 = 12
Then you want to add:
42 + 12 = 54
So the total that they would have spent without the discount would be $54.
Step-by-step explanation:
Hope it helps! =D
determine the equation of the line that is parallel to the given line (y=-5x+1), through the given point (-2,3)
Answer:
y=-5x-7
Step-by-step explanation:
For lines to be parallel with one another, that means they have to have the same slope. The slope of this equation is -5
From there we have to find the b (or the y-intercept) of the new equation. To do this we plug in the slope and the x and y from the given point (-2,3) into the equation y=mx+b and solve for b:
3=-5(-2)+b
3=10+b
-7=b
Finally, we make a new equation with the b (-7) and slope (-5):
y=-5x-7
DON'T READ IF YOU DON'T WANT TO/ALREADY KNOW HOW TO DO THIS FOR A LINE PERPENDICULAR TO THE GIVEN LINE:
To find a line perpendicular to (y=-5x+1), you do everything the same as before but instead of using -5 as the slope for your new equation (including the one you use for solving for the new b) you use it's negative reciprocal. That basically means you switch the numbers numerator and denominator and switch the sign. Remember, every whole number has a denominator of 1, so it'll look like this:
-5/1 turns into 1/5
Then you use 1/5 as the slope for the new equation by plugging in the x and y of the given point and solving for b like we did before. Finally you take the 1/5 as the slope and the b you solved for and put those into a equation like you did before and bam.
If you're confused after reading that then forget everything I said.
hope this helps :D
A study was performed with a random sample of 513 bolts produced at one factory. What population would be appropriate for generalizing conclusions from the study, assuming the data collection methods used did not introduce biases?.
The population that would be appropriate for generalizing conclusions from the study, assuming the data collection methods used did not introduce biases is All 513 bolts that were randomly selected.
What sample should be used to generalize the conclusions from a study?Generalizing the conclusions from a study can only be done with a sample that is well-represented. The question here says that all 513 bolts were chosen without bias. This means that a fair conclusion can be reached from the sample.
So, the results that occur from studying the 513 bolts can be sure to produce accurate results. Moreso, the population is large, thus, the population can be used to generalize conclusions.
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In Exercises 26-29, use the following information. You belong to a book club.
Your yearly book budget is $350. Each book in the book club costs $7.
26. Complete the table.
Books Cost (dollars) Amount left (dollars)
1
343
2
336
3
?
4
?
7
14
?
?
27. Write a variable expression for the cost of b books.
28. Write a variable expression for the amount of your budget after b books.
29. How many books will you be able to buy before the $350 is spent?
50 books can be purchased with $ 350.
We have the data:
Books Cost (dollars) Amount left (dollars)
1 343
2 336
3 336 - 7 = 329
4 329 - 7 = 322
7 322 - 21 = 301
14 301 - 49 = 252
Cost of 1 book = $ 7
Cost of b books = 7 × b = 7 b
Amount of budget after b books = 350 - 7 b
We can buy = 350 / 7 = 50 books before spending the entire amount.
Therefore, we get that 50 books can be purchased with $ 350.
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“Rewrite each expression as an equivalent exponential expression.”
The values of the exponential expressions are follows;
3. [tex] {x}^{m \times n} [/tex]
4. [tex] {\frac{1}{4} }^{16} [/tex]
5. [tex] {( - 3)}^{5} [/tex]
6. [tex] 5.3 \cdot {( - 4)}^{11}[/tex]
7. [tex] {(2.9)}^{10} [/tex]
How can the exponential expressions be simplified?The given expression that can be used to show the Power of a Power Exponent law are as follows;
3. The Power of a Power Exponent law states that;
[tex] {( {x})^{m} }^{n} = {x}^{m \times n} [/tex]
4. The given expression is presented as follows;
[tex] { ({( \frac{1}{4} )}^{2} )}^{8} ={\frac{1}{4} }^{2 \times 8} = {\frac{1}{4} }^{16} [/tex]
5. [tex] {( - 3)}^{4} \times - 3 = {( - 3)}^{4 + 1} = {( - 3)}^{5} [/tex]
6. [tex]5.3 \cdot {( - 4)}^{11} = 5.3 \cdot {( - 4)}^{11}[/tex]
7. [tex] {(2.9)}^{2} \cdot {(2.9)}^{5} \cdot {(2.9)}^{3} = {(2.9)}^{2+5+3} [/tex]
[tex] {(2.9)}^{2+5+3}={(2.9)}^{10} [/tex]
Therefore;
[tex] {(2.9)}^{2} \cdot {(2.9)}^{5} \cdot {(2.9)}^{3} = {(2.9)}^{10} [/tex]
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Approximately 3 people out of every 30 are left handed. About how many left handed people would you expect in a group of 140 people?
14 left handed people would you expect in a group of 140 people .
According to the question, 3 people are left handed out of every 30 people.
We can solve this using unitary method ,
out of every 30 people left handed are 3 people out of every 1 people left handed are 3/30 peopleout of every 140 people left handed are 3/30 × 140 = 14 people .
14 left handed people would you expect in a group of 140 people.
Another method:
Based on the given conditions, formulate : 140 * 3 / 30
Reduce the fraction : 14
get the result 14
Answer 14
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call a positive real number special if it has a decimal representation that consists entirely of digits $0$ and $7$. for example, $\frac{700}{99}
The smallest n such that 1 can be written as a sum of n
special numbers is 8.
What is a number?A number is a mathematical concept that is used for counting, measuring, and labeling. The natural numbers 1, 2, 3, 4, and so forth are the original examples. Number terms in language can be used to represent numbers. More commonly, individual numbers can be represented using symbols known as numerals; for instance, the numeral "5" stands in for the number five. Basic numerals are frequently arranged in a numeral system, which is an ordered manner to represent any number, as only a very small number of symbols can be learned. The most widely used numeral system is the Hindu-Arabic numeral system, which enables the depiction of any number using a combination of 10 basic numerical symbols, or "digits."
Calculations:
Suppose 1 = x1 + x2 + · · · + xn where x1, x2, . . . , xn are special and
n ≤ 9. For k = 1, 2, 3, . . . , let ak be the number of elements of {x1, x2, . . . , xn}whose kth decimal digit is 7. Then
1 =7a1}/10 +7a2/10 +7a3/10 + ... ,
which yields
1/7 = 0.142857 =a1 /10 +a2/[tex]10^{2}[/tex] +a3/[tex]10^{3}[/tex] + ... ,
Hence a1 = 1, a2 = 4, a3 = 2, a4 = 8, etc. In particular, this implies that n ≥ 8. On
the other hand,
x1 = 0.700, x2 = x3 = 0.07, x4 = x5 = 0.077777, and x6 = x7 = x8 = 0.000777
are 8 special numbers whose sum is
(700700+2(70707)+2(77777)+3(777))/{999999} =1
Thus the smallest n is 8.
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Convert 6000 meters into miles. Round your answer to the nearest hundredth
Answer:
3.73
Step-by-step explanation:
The hundredths place is two places to the right of the decimal so the number doesn't need to change.
Question f(1)= ?
Please explain
The coordinates of the given points are:
(-2, 2)(-3, 0)(0, 1)(1, -2)What is a graph?A graph is a mathematical representation of a network that describes the connection between lines and points. A graph is made up of points with lines connecting them. The length of the lines and the position of the points are irrelevant. Each object in a graph is referred to as a node.Refer to the diagram to know the coordinates of the given points.
Therefore, the coordinates of the given points are:
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Cuál es un número primo divisor de 30?
A. 5
B. 10
C. 6
D. 15
Solve equation.
27-6 d=7+4 d
Answer:
27-7=4d+6d
20=10d
d=20/10
therefore; d=2
A runner has run 1.192 kilometers of a 10-kilometer race. How much farther does h
need to run to finish the race? Show your reasoning. How do I solve this
The runner has to run more 8.808 km to finish the race.
What do we mean by mathematical operations?In mathematics, an operation is a function that converts zero or more input values (also known as "operands" or "arguments") to a well-defined output value. The number of operands determines the operation's complexity.The most commonly studied operations are binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive inverse and multiplicative inverse. A constant is an arity zero operation, also known as a nullary operation. A mixed product is an example of an arity 3 operation, also known as a ternary operation.So, the runner ran 1.192 km out of 10 km.
Then, the remaining distance:
10 - 1.192 = 8.808kmTherefore, the runner has to run more 8.808 km to finish the race.
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Find the measure of the missing angles.
d =
e
e=
fd
77°
O
31°
ƒ=
0
The measure of the missing angles are d= 77° , e= 31° ,and f = 72°.
As given in the question,
Angle e is vertically opposite to the given angle 31°
⇒Measure of angle e = 31°
Angle d is vertically opposite to the given angle 77°
⇒Measure of angle d = 77°
Angle e , Angle f and angle d are linear pairs
⇒∠e +∠f +∠d =180°
⇒31° +∠f + 77°=180°
⇒ ∠f =180° -108°
⇒ ∠f =72°
Therefore, the measure of the missing angles are d = 77° , e = 31° and
f = 72°.
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Two adjacent angles (two angles that share
a common side and vertex) form a straight
angle. One of the angles measures 140°.
What is the measure of the other angle?
The value of the other angle will be 40°.
How to calculate the angle?It should be noted that the value of the angle on a straight line equals to 180°.
In this case, the adjacent angles (two angles that share a common side and vertex) form a straight
angle and one of the angles measures 140°.
The value of the other angle will be:
= 180° - 140°
= 40°
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PLEASE HELP WITH HOMEWORK
Supplementary angles have a sum of 180°
Therefore, we can add the expressions for Angles A and B and set their sum equal to 180.
( 7x - 15 ) + ( 2x - 3 ) = 180
Now we can combine like terms and use inverse operations to find the value of x:
( 7x - 15 ) + ( 2x - 3 ) = 180
9x - 18 = 180
9x - 18 + 18 = 180 + 18
9x = 198
9x/9 = 198/9
x = 22
Then Angle A will have a measure of 7x - 15 or 7• 22 -15 = 154 - 15 = 139°
m∠A = 139°
The measure of Angle b will be 2x - 3 = 2 • 22 - 3 = 44 - 3 = 41°
m∠ B = 41°
NOTE: 139 + 41 = 180
Can+you+provide+a+cut-off+time+by+which+you+can+be+99%+sure+that+the+baseball+game+would+end?
We can be 99% certain the baseball game will end by 5.22pm.
What does the term "cut-off" signify in mathematics?A cut-off Number is a number mentioned in the applicable Final Terms as such, or if no number is provided, the Specific Number is presumed to be five.
What exactly is the cut-off probability?In binary classification, the threshold or cut-off represents the chance that the prediction is correct. It represents the cost of false positives or false negatives.
According to the given information:Let the cutoff be A.
so,
P(X ≤ A) = 0.99
[tex]P\left(\frac{X-\mu}{\sigma} \leq \frac{a-2.5}{0.37}\right)=0.99[/tex]
[tex]P\left(Z \leq \frac{a-2.5}{0.37}\right)=0.99[/tex]
[tex]\Phi\left(\frac{a-2.5}{0.37}\right)=\Phi(2.33)\\[/tex]
(a - 2.5)/.37 = 2.33
a = 3.3621
a = 3hours and (0.3621 * 60) = 22 minutes
We can be 99% certain the baseball game will end by 5.22pm.
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I understand that the question you are looking for is:
The probability that the baseball game will cut into the program is 0.0885.
Can you provide a cut-off time by which you can be 99% sure that the baseball game would end?