Answer: 121.2
Step-by-step explanation:
(12.42)(10)−3
=124.2−3
=121.2
Answer:
121.2
Step-by-step explanation:
The midpoint of AB is M(1, 4). If the coordinates of A are (8, 7), what are the
coordinates of B?
\(~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{8}~,~\stackrel{y_1}{7})\qquad B(\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ x +8}{2}~~~ ,~~~ \cfrac{ y +7}{2} \right) ~~ = ~~\stackrel{\textit{\LARGE M}}{(1~~,~~4)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ x +8}{2}=1\implies x+8=2\implies \boxed{x=-6} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ y +7}{2}=4\implies y+7=8\implies \boxed{y=1}\)
It took Todd 11 hours to travel over pack ice from one town in the Arctic to another town 330 miles away. During the return journey, it took him 15 hours.
Assume the pack ice was drifting at a constant rate, and that Todd’s snowmobile was traveling at a constant speed relative to the pack ice.
What was the speed of Todd's snowmobile?
Answer:
The speed of Todd's snowmobile was 22 miles an hour
Step-by-step explanation:
:))
The speed of Todd's automobile is 31 miles per hour.
What is speed?Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance travelled by time. The unit of speed in miles per hour.
Given that It took Todd 11 hours to travel over pack ice from one town in the Arctic to another town 330 miles away. During the return journey, it took him 15 hours.
For the first journey,
v₁ + v₂ = 330 / 11 ......................( 1 )
For the return journey,
v₂ - v₁ = 330 / 15 .........................( 2 )
From equation ( 1 ) and equation ( 2 ),
2v₂ = ( 330 / 11 ) + ( 330 / 15 )
2v₂ = ( 330 ) ( 31 / 165 )
v₂ = 165 ( 31 / 165 )
v₂ = 31 miles per hour
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He buys atoy car for 150 the sells it for $120find his percentage loss
Answer: 80%
Step-by-step explanation:
divide 120 by 150 and you get .8 then you move the decimal over 2
3a? - ab
(if a = -4 and b = -3)
Evaluate each expression using the variable replacement
Answer:
-21
Step-by-step explanation:
\(3(-3) - (-4 * -3)\\= -9 - 12 \\= -21\)
A rectangular playground measures 5/8 mile long and 1/4 mile wide. What is the area, in square miles, of the playground?
Answer:
5/32 square miles or 0.15625 square miles
Step-by-step explanation:
1/4 miles × 5/8 miles
=5/32 square miles or 0.15625 square miles
11. If a square has an area of 121 square meters, what is the side length? A. 60.5 m B. 12 m C. 11 m D. 484 m
Answc
Step-by-step explanation:
answer= C. 11m
Which number sentence states that x is at most 50?
A. x < 50
B. * < 50
C. x = 50
D. x > 50
E. x > 50
With your team, create a piecewise-defined function with at least three “pieces.” The function does not need to be a step-function with horizontal line segments, but it needs to meet the definition of a function. Make a table and a graph for your function, and write an equation for each part. Be sure to state the domain for each part, as well as the domain for the whole function.
On solving the provided question we can say that The following is the data table of the function.
what is function?The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.
here,
the provided functions that can be formed are
x -infinity < x < -10
f(x) = 2x + 10 -10 < x < 10
4X - 10 10 < x < infinty
The following is the data table of the function.
x y
-20 -20
-15 -15
-10 -10
-5 0
0 10
5 20
10 30
15 50
20 70
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An example of the piecewise defined function is: \(f(x)= \begin{cases}x & -\infty < x \leq-10 \\ 2 x+10 & -10 < x \leq 10 \\ 4 x-10 & 10 < x < \infty\end{cases}\)
what is function?The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output.
A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or range.
Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.
The following is the data table of the function.
x y
-20 -20
-15 -15
-10 -10
-5 0
0 10
5 20
10 30
15 50
20 70
The provided functions that can be formed are
\(f(x)= \begin{cases}x & -\infty < x \leq-10 \\ 2 x+10 & -10 < x \leq 10 \\ 4 x-10 & 10 < x < \infty\end{cases}\)
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PLEASE ANSWER MAKE SURE YOU ARE RIGHT PLEASE I WILL MARK AS BRAINIEST
FIND THE VOLUME OF THE CYLINDER
Answer:
Find the volume of the cone, the answer i got was 37.68 but it asked to round so it should be 37.7
Hope this helps :)
Answer:
If we want to find volume of cone we must use this formule: πr²*high/3.
Step-by-step explanation:
let's solve step by step
firstly you know the radius is 3 and high is 4
if we accept π to 3. the answer is must be (3*3*4)/3 and finally the answer is 12 units³
PLEASE HELP ME PLZ IN I GET IT RIGHT I WILL GIVE U A BRAINLY AND PLZ NO LINK THAT DON’T HELP AT ALL
37% of what number is 72?
Answer:
26.64
Step-by-step explanation:
37% of x = 72
0.37x = 72
isolate x
x = 72*0.37
x = 26.64
Evaluate the expression (2b+3a)×(c to the power of 2) when a=4 , b=3 , and c=1/3 .
Answer:
2
Step-by-step explanation:
(2b+3a) x (c power 2)2*3+3*4 x 1/3 power 2
6+12 x 1/9
18 x 1/9
2 x 1 (because 9 and 18 are cutted by each other)
2
2
Step-by-step explanation:To evaluate the expression (2b+3a)×(c^2) when a=4, b=3, and c=1/3, we substitute the given values into the expression and perform the indicated arithmetic operations:
(2b + 3a) × (c^2)
= (2(3) + 3(4)) × ((1/3)^2) (substitute a=4, b=3, c=1/3)
= (6 + 12) × (1/9) (evaluate 2(3) + 3(4) and (1/3)^2)
= 18/9
= 2
Therefore, when a=4, b=3, and c=1/3, the expression (2b+3a)×(c^2) equals 2.
The scale on a map is 2 cm = 15 miles. Dave measures the distance to the next town at 7 cm. how may miles away is the next town?
Answer:
15x3.5 = 52.5
Step-by-step explanation:
Answer:
52.5
Step-by-step explanation:
Multiplication method
write the values of n such that -15< 3n ≤ 6
Answer:n=2
Step-by-step explanation:
If you multiply 3 by 2 you get 6.
6 is more than -15 But equal to 6 so two works for N in the situation
Note: The sign between the 3N and six means Less than OR equal to
Melissa opened a savings account and deposited $700.00 as principal. The account earns 15% interest, compounded annually. What is the balance after 8 years?
Use the formula A=P1+
r
n
nt, where A is the balance (final amount), P is the principal (starting amount), r is the interest rate expressed as a decimal, n is the number of times per year that the interest is compounded, and t is the time in years.
Round your answer to the nearest cent.
Balance after 8 years is $2,306.86 at an interest rate of 15 % compounded yearly.
What is compound interest?Compound interest simply refers to the fact that an investment, loan, or bank account's interest accrues exponentially over time as opposed to linearly over time. The word "compound" is crucial here.
given, Melissa opened a savings account and deposited $700.00 as principal. The account earns 15% interest
from the general formula of compound interest
A = \(P(1 + r/n)^{nt}\)
where A is the balance (final amount), P is the principal (starting amount), r is the interest rate expressed as a decimal, n is the number of times per year that the interest is compounded, and t is the time in years.
Given, P = 700$
r = 15%
t = 8 years
A = 700(1 + 15/100)⁸
A = 2306.86$
Therefore, At a 15% annual compounded interest rate, the remaining balance after 8 years is $2,306.86.
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which height is higher -83 feet or the opposite of -88 feet
Answer:
Opposite of -88 feet
Step-by-step explanation:
the opposite of -88 is positive 88, which means its coming off of the ground. negative would go into the ground.
A company that manufactures toothpaste is studying five different package designs. Assuming that one design is just as likely to be selected by a consumer as any other design, what selection probability would you assign to each of the package designs (to 2 decimals)? In an actual experiment, consumers were asked to pick the design they preferred. The following data were obtained. Do the data confirm the belief that one design is just as likely to be selected as another?
Design Number of Times Preferred
1 5
2 15
3 30
4 40
5 10
Answer:
20%
Step-by-step explanation:
p(outcomes)=#of favourable outcomes/#of possible outcomes
=1/5
=0.2
=20%
The table shows the magnitudes of the earthquakes that have occurred in the past 10 years. Use the frequency distribution to construct a histogram. Does the histogram appear to be skewed? If so, identify the type of skewness.
Earthquake magnitude
Frequency
5.0-5.9
13
6.0-6.9
14
7.0-7.9
9
8.0-8.9
4
9.0-9.9
3
Question content area bottom
Part 1
Construct the histogram. Choose the correct graph below.
A.
5
6
7
8
9
10
0
5
10
15
Earthquake magnitude
Frequency
A histogram with horizontal axis labeled Earthquake magnitude from 5 to 10 in intervals of 1 and vertical axis labeled Frequency from 0 to 15 in intervals of 5 contains vertical bars with heights as follows: 5 to 6, 13; 6 to 7, 14; 7 to 8, 9; 8 to 9, 4; 9 to 10, 3.
B.
5
6
7
8
9
10
0
5
10
15
Earthquake Magnitude
Frequency
A histogram with horizontal axis labeled Earthquake magnitude from 5 to 10 in intervals of 1 and vertical axis labeled Frequency from 0 to 15 in intervals of 5 contains vertical bars with heights as follows: 5 to 6, 3; 6 to 7, 9; 7 to 8, 13; 8 to 9, 9; 9 to 10, 3.
C.
5
6
7
8
9
10
0
5
10
15
Earthquake magnitude
Frequency
A histogram with horizontal axis labeled Earthquake magnitude from 5 to 10 in intervals of 1 and vertical axis labeled Frequency from 0 to 15 in intervals of 5 contains vertical bars with heights as follows: 5 to 6, 13; 6 to 7, 14; 7 to 8, 13; 8 to 9, 13; 9 to 10, 14.
D.
5
6
7
8
9
10
0
5
10
15
Earthquake Magnitude
Frequency
A histogram with horizontal axis labeled Earthquake magnitude from 5 to 10 in intervals of 1 and vertical axis labeled Frequency from 0 to 15 in intervals of 5 contains vertical bars with heights as follows: 5 to 6, 3; 6 to 7, 4; 7 to 8, 9; 8 to 9, 14; 9 to 10, 13.
Part 2
The histogram
▼
has a longer left tail,
has a longer right tail,
appears roughly symmetric,
so the distribution of the data is
▼
skewed to the right.
skewed to the left.
not skewed.
The histogram has a longer right tail since skewed right side
The distribution of data is positively skewed distribution
How to explain the histogramA histogram with a longer right tail indicates that the data is skewed to the right, which means that the majority of the data points are on the left side of the graph, and there are fewer data points on the right side. This is also known as a positively skewed distribution.
In a positively skewed distribution, the mean is typically greater than the median, and the mode is less than the median. This is because the presence of outliers on the right side of the graph can pull the mean towards higher values, while the median remains closer to the bulk of the data.
The graph that represents this is D.
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The state fair is a popular field trip destination. This year the senior class at Lakota West and Lakota East both planned trips there. The senior class at Lakota West rented and filled 8 vans and 8 buses with 240 students. Lakota East rented and filled 4 vans and 1 bus with 54 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.
Answer:
For High School A, the equation is 8x+8y=240, with x representing number of students in a van and y representing the number of students in a bus. For High school B, the equation is 4x+y=54.
Now solve the system of equations to find the values of your variables.
4x+y=54 means that y=54-4x.
Now plug in this value of y into the equation for High School A.
8x+8(54-4x)=240
8x+432-32x=240
192=24x
8=x
Now that you have solved for x, plug this value in to one of the equations to solve for y.
4(8)+y=54
y=22
To check this solution of x=8 and y=22, plug these values into the other equation
8(8)+8(22)=240
Because this is correct, you know that each van holds 8 students and each bus holds 22 students.
What type of arc is AB
I'm sorry I don't know the answer but I do have to say that you are loved and no matter how many mistakes you make you will still always be loved. Step-by-step explanation:
Answer:
B. A minor arc
Step-by-step explanation:
Trust me bro
The quantity (in pounds) of a gourmet ground coffee that is sold by a coffee company at a price of p dollars per pound is Q = f(p).^1(a) What is the meaning of the derivative f^1(8)? What are its units?
The derivative f'(8) gives the rate of change of the quantity (in pounds) of coffee sold as we increase the price (in dollars).
The units of the derivative are always output units from original function input units from original function . For the original function, the output is pounds of coffee sold, and the input is the price in dollars per pound.
Thus the units for f′(8) are pounds dollars/pound.(b) Is f′(8) positive or negative? Explain. We interpret the rate given by the derivative as the input increases, so the price per pound is increasing. From the law of supply and demand, as the price increases, the quantity sold decreases. Thus we expect
f′(8) to be negative.
The answers to both subparts are shown:
(A) The derivative of f'(5) means the pace at which the price per pound changes in relation to the weight of coffee sold at $5 per pound.
(B) The unit of f'(5) is pounds/dollar.
What is derivative?The derivative of a function of a real variable in mathematics assesses how sensitively the function's value changes in response to changes in its argument.
Calculus's core tool is the derivative.
We may find the slope of a function at any point by using its derivative. We can find numerous derivatives by adhering to certain rules.
For instance: A constant value, such as 3, always has a slope of 0.
(A) Meaning of derivative of: f'(5)
We have: Q = f(p) ...(1)
Differentiating Q in relation to p results in:
qQ/dp = f'(p) ...(2)
The rate of change of the price per pound in relation to the volume of coffee sold is implied by equation (2).
If p = 5, we get:
qQ/dp = f'(5) ...(3)
The rate at which the price per pound changes in relation to the amount of coffee sold at $5 per pound is implied by equation (3).
(B) Unit of f'(5):
Equation (3)'s result that qQ/dp = f'(5) suggests that f'(5) units are pounds/dollar.
Therefore, the answers to both subparts are shown:
(A) The derivative of f'(5) means the pace at which the price per pound changes in relation to the weight of coffee sold at $5 per pound.
(B) The unit of f'(5) is pounds/dollar.
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Correct question:
The quantity (in pounds) of gourmet ground coffee that is sold by a coffee company at a price of p dollars per pound is Q = f(p). (a) What is the meaning of the derivative f '(5)? The rate of change of the price per pound with respect to the quantity of coffee sold. The supply of coffee needed to be sold to charge $5 per pound. The rate of change of the quantity of coffee sold with respect to the price per pound when the price is $5 per pound. The rate of change of the price per pound with respect to the quantity of coffee sold when the price is $5 per pound. The price of the coffee as a function of the supply. What are the units of f '(5)? dollars dollars/pound pounds/(dollars/pound) pounds dollars/(pound/pound) pounds/dollar
robins grandmother is 7 times older than him. in 12 years, she will be 3 times as old as him. how old is robin?
Step-by-step explanation:
the answer either maybe somebody could help
Answer:
6 year's old
Step-by-step explanation:
Grandma is G and Robin is R
G=7R
G+12=3(R+12)
G+12=3R+36
7R+12=3R+36
7R-3R=36-12
4R=24
R=6
Robin is 6 years old
Given that 6^(y+3)=2(x+9), find the ratio of x to y
The ratio of x to y is given by 3 : 1
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the proportion be represented as A
Now , the value of A is
6 ( y + 3 ) = 2 ( x + 9 )
On simplifying , we get
6y + 18 = 2x + 18
Subtracting 18 on both sides , we get
6y = 2x
Divide by 2 on both sides , we get
x = 3y
Divide by 3 on both sides , we get
x/y = 3/1
Therefore , the proportion is x : y : : 3 : 1
Hence , the ratio is 3 : 1
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What is the length of BC?
24
36
48
30
Answer:
48/24
Step-by-step explanation:
You didn't say which one is line BC so I'm going to give you the answer 48 for the entire line but if you are asking for the middle point to end point then it is 24.
Reggie needs 24 feet of rope to make a tire swing. He has 10 yards of rope. Is this enough for him to make his swing? Explain.
Answer:
8 yards < 10 yards
He has enough.
Step-by-step explanation:
1 yard = 3 feet
y yards = 24 feet
\(\frac{1}{3} :\frac{y}{24}\)
y · 3 = 1 · 24
3y = 24
3y ÷ 3 = 24 ÷ 3
y = 8
24 feet = 8 yards
8 yards < 10 yards
If ∠1 ≅ ∠2, can you conclude that any of the lines are parallel?
Explain.
A. Yes; lines n and p are parallel because corresponding angles are congruent.
B. No; ∠1 and ∠2 show no relationship.
C. Yes; lines ℓ and m are parallel because corresponding angles are congruent.
D. No; neither angle is formed by the transversal, line q.
A. Yes; lines n and p are parallel because corresponding angles are congruent.
According to the reverse of the comparable angles theorem, lines n and p are parallel if angles 1 and 2 are congruent.
The converse of the corresponding angles theorem is what?
According to the corresponding angles theorem, the corresponding angles on each line that a transversal cuts are congruent if the two lines are parallel to one another.
In contrast, lines that fall on those angles are parallel to one another if two corresponding angles are congruent to one another.
The diagram's angles 1 and 2 relate to one another.
In light of the converse of the equivalent angles theorem, lines n and p are parallel if angles 1 and 2 are congruent.
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When first observed, an oil spill covers 4 square miles. Measurements show that the area is tripling every 8 hrs. Find an exponential model for the area A (in mi2) of the oil spill as a function of time t (in hr) from the beginning of the spill.
A(t) =
Question content area top
Part 1
The initial population of a town is4500 , and it grows with a doubling time of 2 years. Determine how long it will take for the population to quadruple.
Answer:
Hay! if you have another question just ask ❓
twenty insurance agents are randomly selected and asked if they own a handgun. fourteen of those surveyed said that they do own a handgun. if an insurance agent is randomly selected, estimate the probability that the agent will own a handgun. round your answer to two decimal places, if necessary.
The probability is 0.8427.
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in Maths to predict how likely events are to happen. The meaning of probability is basically the extent to which something is likely to happen. This is the basic probability theory, which is also used in the probability distribution, where you will learn the possibility of outcomes for a random experiment. To find the probability of a single event to occur, first, we should know the total number of possible outcomes.
Here we are total number of insurance agents = 89
And number of insurance agents do own a handgun = 75
So we asked probability that a insurance agent will own a handgun
Probability = no.of insurance agents/no.of insurance agents who owns a handgun
Probability = 75/89 = 0.8427
The probability that the agent will own a handgun is .84
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NEED help on 20-25 please and thank you
The sum of the measures of the interior angles of a nonagon is 1260 degrees
The measure of each interior angle of a regular octagon is 135 degrees
How to calculate the anglesA nonagon is a polygon with nine sides, and the formula to calculate the sum of the measures of the interior angles of a polygon with n sides is:
Sum of interior angles = (n-2) x 180 degrees
Therefore, the sum of the measures of the interior angles of a nonagon is:
Sum of interior angles = (9-2) x 180 degrees = 1260 degrees
An octagon is a polygon with eight sides, and the formula to calculate the measure of each interior angle of a regular polygon with n sides is:
Measure of each interior angle = (n-2) x 180 degrees / n
Therefore, the measure of each interior angle of a regular octagon is:
Measure of each interior angle = (8-2) x 180 degrees / 8 = 135 degrees
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