The functions g and h are such that g(x)=2x+5 and h(x)=ax+b

Answer:

14.77

Sale Tax: 5.00% or $0.70

Answer:

14.12

Step-by-step explanation:

0.05 is also known as 5%

14.07+0.05=14.12

Answer: The 2nd one from the top

Answer:

First box +2

Second box -5

Step-by-step explanation:

Just an Example,

If f(x) = 2x + 1  and we need f(2) we would replace the x in the function with the number 2 because 2 is the domain of the function , so f(2) would become,

f(2) = 2(2) + 1

f(2) = 4 + 1 = 5

Now the question is what is f(g(x)) in this case the domain of the function is g(x). In simpler words we replace x with the function g(x) so here goes,

\(f(x)=2x+1\\g(x)=x-3\\f(g(x))=2(x-3)+1\\f(g(x))=2x-6+1\\f(g(x))=2x-5\)

so,

f(g(x)) = 2x - 5

f(g(x)) = 2x-5

A function from a set X to a set Y assigns to each element of X exactly one element of Y.

Given are two functions, f(x) = 2x + 1, and g(x) = x - 3,

f(g(x)) = 2(x-3)+1

f(g(x)) = 2x-6+1

f(g(x)) = 2x-5

Hence, f(g(x)) = 2x-5

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When Tracey pours all the water from the smaller 5-inch cube container into the larger 7-inch cube container, the water will be approximately 7 inches deep in the larger container.

To find out how deep the water will be in the larger container, we need to consider the volume of water transferred from the smaller container. Since both containers are cube-shaped, the volume of each container is equal to the length of one side cubed.

The volume of the smaller container is 5 inches * 5 inches * 5 inches = 125 cubic inches.

When Tracey pours all the water from the smaller container into the larger container, the water completely fills the larger container. The volume of the larger container is 7 inches * 7 inches * 7 inches = 343 cubic inches.

Since the water fills the larger container completely, the depth of the water in the larger container will be equal to the height of the larger container. Since all sides of the larger container have the same length, the height of the larger container is 7 inches.

Therefore, the water will be approximately 7 inches deep in the larger container.

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Step-by-step explanation:We are given with two functions: f(x) = 9x - 2 and g(x) = -x + 3. In this problem, the expression of f(g(x)) is asked. We first substitute g(x) to f(x) resulting to f(-x + 3) = 9 (-x + 3) - 2  equal to -9x + 27 -2 or f(g(x)) = -9x + 25.

Answer:

56 im pretty sure not my level but if i did it right it should be but if it is wrong im sorry

Step-by-step explanation:

The money in the account at the end of the 4 years is $1034

What is compound interest?

Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.

Now we are given that the initial amount deposited in the account is $1000

This account is giving 0.85% And we have to figure out how much amount will be there

We use compound interest formula to find the amount

\(A= P(1+r/n)^{nt}\\\\A= 1000(1+0.0085)^{4}\\A = 1000(1.034)\\A= 1034\)

Hence the amount will be after 4 years is $1034.

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Answer:   C

Step-by-step explanation:

hope this helped

The value of the sixth number in the set of numbers is 16

The correct answer is an option (b)

Let us assume that 'p' be the value of the sixth number in the set.

So, the set of numbers is { 5, 14, 10, 22, 23, p}

The mean of a set of six numbers is 15.

We know that we can find the mean or average of a data set by adding all numbers in the data set and then dividing by the total number of values in the set.

Let m be the mean of set of  numbers { 5, 14, 10, 22, 23, p}

So, m = 15

Here, the total number of values in set = 6

Using the formula for mean,

m = (5 + 14 + 10 + 22 + 23 + p)/6

15 = (5 + 14 + 10 + 22 + 23 + p)/6

15 × 6 = (5 + 14 + 10 + 22 + 23 + p)

90 = 74 + p

90 - 74 = 74 + p - 74

p = 16

Therefore, the sixth number is 16

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Answer:

The answer is \(\frac{4}{13}\).

Step-by-step explanation:

Additive rule:

According to this rule, the probability that events A or B will occur is given by the formula,

\(P(A\cup B)=P(A)+P(B)-P(A\cap B)\)

Here,

We know that there are 13 spades and 4 queens in a deck of 52 cards. Also, there is only one queen of a spade.

Then,

\(\begin{aligned}P(S)&=\frac{13}{52}\\P(Q)&=\frac{4}{52}\\P(S\cap Q)&=\frac{1}{52}\end{aligned}\)

Therefore, the probability that the card you select is a spade or queen is given by,

\(\begin{aligned}P(S\cup Q)&=P(S)+P(Q) -P(S\cap Q)\\&=\frac{13}{52}+\frac{4}{52}-\frac{1}{52}\\&=\frac{16}{52}\\&=\frac{4}{13}\end{aligned}\)

Therefore, the answer is \(\frac{4}{13}\).

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Answer:

x= -59 y= 36

Step-by-step explanation:

Have the equations mixed up

Put the first equation in the second equation where the x values are the same and y values are the same then work it out.

Hope this helps!

El valor que satisface D es 188.

El modelo matemático será así:

D/d = 12(resto 8)

si escribimos 8 como resto de D, entonces:

(D-8) /d=12

D-8= 12d o se puede escribir D= 12d+8

luego sustituya D= 12d+8 por D+d= 203

D+d= 203

(12d +8) +d= 203

13d= 203-8

13d= 195

re=15

sustituir d=15 en D+d= 203

D+d= 203

D+15=203

D=203-15

D=188

El modelo matemático es una forma de interpretación humana al traducir o formular problemas existentes en forma matemática, de modo que el problema pueda resolverse utilizando las matemáticas.

El uso principal de los modelos matemáticos es ayudar a las personas a comprender los problemas y simplificarlos para que puedan resolverse.

, los siguientes son algunos de los usos que se obtienen al utilizar un modelo matemático, a saber:

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This is a simple one.

We dont know how fast it is going downstream, but we do know it took 3 hours to reach the destination. Now, saying that, when coming back we know it took 4 hours(an hour longer than what we took to get there), and we also know we were moving 5 miles slower per hour. If we think a bit, we can see that moving 5 miles slower made us take a whole hour. Making me believe that when we were headed to our destination we were moving at 20 miles per hour, and when we were headed back, we moved at 15mph(20-5)

To check that this was correct, we can just simply check, "okay so from our point to our destination we traveled 60 miles in total. if we went 20 miles an hour, in 3 hours(3×20) we would be at our destination, and if we traveled at 15 miles an hour, it would take us 4 hours to get back to our starting point (4×15)

HOPE THIS HELPED. PLEASE CONSIDER LEAVING A 5 STAR, A HEART AND MAKING THIS THE BRAINLIEST ANSWER THAT WOULD BE SO VERY MUCH APRECIATED!!!!

A linear regression function, f(t), that estimates the day's coffee sales with a high temperature is f(t) = -58t + 6,182.

The correlation coefficient (r) is -0.94.

Yes, r indicates a strong linear relationship between the variables because r is close to -1.

In order to determine a linear regression function and correlation coefficient for the line of best fit that models the data points contained in the table, we would have to use an online graphing tool (scatter plot).

In this scenario, the high temperature would be plotted on the x-axis of the scatter plot while the y-values would be plotted on the y-axis of the scatter plot.

From the scatter plot (see attachment) which models the relationship between the x-values and y-values, the linear regression function and correlation coefficient are as follows:

f(t) = -58t + 6,182

Correlation coefficient, r = -0.944130422 ≈ -0.94.

In this context, we can logically deduce that there is a strong linear relationship between the data because the correlation coefficient (r) is closer to -1;

-0.7＜|r| ≤ -1.0   (strong correlation)

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Missing information:

State the linear regression function, f(t), that estimates the day's coffee sales with a high temperature of t.  Round all values to the nearest integer. State the correlation coefficient, r, of the data to the nearest hundredth.  Does r indicate a strong linear relationship between the variables?  Explain your reasoning.

Answer:

The rate at which how many tokens a person loses per minute.

Step-by-step explanation:

If we move around the terms in the equation to fit standard form, it will be easier to determine the slope.

y = 50 - 2x

y = -2x + 50

We know that the slope is the coefficient of the x variable, so m = -2 or \(\frac{-2}{1}\).

Since the slope is negative, we know that the line will go down as x increases.  Since the slope is multiplied by the number of minutes x, we know that the slope represents the typical rate at which a guest spends tokens per minute. In simpler words, how many tokens a person loses every minute.

Answer:

-1/3

Step-by-step explanation:

multiply across

1/2 * -2/3

-2/6

-1/3

\(~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{y^{-5}}{x^{-3}}\implies \cfrac{y^{-5}}{1}\cdot \cfrac{1}{x^{-3}}\implies \cfrac{1}{y^5}\cdot \cfrac{x^3}{1}\implies {\Large \begin{array}{llll} \cfrac{x^3}{y^5} \end{array}}\)

Answer:

A. y ≤ 1

Step-by-step explanation:

according to the graph, the coordinates of maximum value is (-3, 1) and besides the graph towards down, so, the range of the function is y ≤ 1

a=-3, b=0, c=15

y-intercept: 15

1) In this quadratic equation, we can tell the following about their coefficients.

2) The y-intercept, in a quadratic equation, is always the coefficient "c". So, we can tell that:

SOLUTION:

We are to choose between a Cheez-it's that cover a rectangle with;

(i) A length of 9 and a perimeter of 22,

(ii) A length of 5 and a perimeter of 20.

The prefer one would be the one with a greater area.

The area of this rectangle is;

The area of this rectangle is;

CONCLUSION:

Since the area of a rectangle of length of 5 and a perimeter of 20 is greater than that of a length of 9 and a perimeter of 22.

The preferred is the Cheez-it's that covers a rectangle of a length of 5 and a perimeter of 22.

Answer:

38 degrees

Step-by-step explanation:

if it is half a tenth or more, it gets rounded up to the next degree

Answer:

38

Step-by-step explanation:

AB is congruent to CD.AB = CD =\(\sqrt{14} units\) (proved)

In coordinate geometry, we use the distance formula to find the distance between two coordinates in a straight line. It represented D.

Let's consider two points on a coordinate plane given as A and B (x₂, y₂).

D = \(\sqrt{(x2 -x 1)^2 + (y2 - y1)^2}\)

Given:

The coordinates of the given quadrilateral are,

A(1, 5), B(6, 1), C(−2, 8), D(−6, 3).

According to the question we need to determine AB = CD.

By using the distance formula of coordinate geometry.

\(\sqrt{(x2 -x 1)^2 + (y2 - y1)^2}\)

Distance between A and B,

\(AB =\sqrt{(6 - 1)^2 + (5-1)^2 } \\AB = \sqrt{5^2 + 4^2} \\AB = \sqrt{25 + 16} \\AB = \sqrt{41} units\)        .......(1)

Distance between C and D,

\(CD =\sqrt{(-6 -(-2))^2 + (3-8)^2 } \\CD = \sqrt{(-4)^2 + (-5)^2} \\CD = \sqrt{16 + 25} \\CD = \sqrt{41} units\).......(2)

From equation (1) and (2) we find that

AB = CD =\(\sqrt{14} units\)

Hence, AB is congruent to CD.AB = CD =\(\sqrt{14} units\) (proved).

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Answer:

A≈102.79

Step-by-step explanation:

The formula for area of a circle is πr² so we need to substitute the r by 5.72.

π×5.7² = 102.79 m²

Answer:

Approximately 102.79 meters squared

Step-by-step explanation:

pi times 5.72 meters squared

Hope this helps!

Answer:

Step-by-step explanation:

The first thing we are going to do is to fill in the other angles that we need to solve this problem. You could find ALL of them but all of them isn't necessary. So looking at the obtuse angle next to the 35 degree angle...we know that those are supplementary so 180 - 35 = the obtuse angle in the small triangle. 180 - 35 = 145. Within the smaller triangle we have now the 145 and the 10, and since, by the Triangle Angle-Sum Theorem all the angles have to add up to equal 180, then 180 - (10 + 145) = the 3rd angle, so the third angle is 180 - 155 = 25. Now let's get to the problem. If I were you, I'd draw that out like I did to keep track of these angles cuz I'm going to name them by their degree. In order to find d, we need to first find the distance between d and the right angle. We'll call that x. The reference angle is 35, the side opposite that angle is 12 and the side we are looking for, x, is adjacent to that angle. So we will use the tan ratio to find x:

\(tan(35)=\frac{12}{x}\) Isolating x:

\(x=\frac{12}{tan(35)}\) so

x = 17.1377 m

Now we have everything we need to find d. We will use 25 degrees as our reference angle, and the side opposite it is 12 and the side adjacent to it is

d + 17.1377, so that is the tan ratio as well:

\(tan(25)=\frac{12}{d+17.1377}\) and simplifying a bit:

\(d+17.1377=\frac{12}{tan(25)}\) and a bit more:

d + 17.1377 = 25.73408 so

d = 8.59, rounded

Answer:

the answer is b

Answer:

105/7=15

Step-by-step explanation:

equations have equal signs

Answer:

Reflection over y-axis

Step-by-step explanation:

We know that with a reflection of the x-axis, we flip the value of the y value

But since the y-values in Q3 and Q4 are both negative, we know that can't be the case

So it has to be a reflection over the y-axis where the x-values are flipped

Hope this helps

The formula for y in terms of x is y = 3/x³.

Inversely Proportional:

When two variables are inversely proportional to each other, then the value of one quantity increases with respect to decrease in other or vice-versa.

So, it can be written as,

y = k/x

where,

y is inversely proportional to x and k is the constant of proportionality.

Given,

Y is inversely proportional to the cube of x.

Here we need to find the formula for y in terms of x.

We know that, y is inversely proportional to the cube of x.

So, it can be written as

=> y = k / x³

Where k is the constant.

To find the formula of y,

First we need to find the value of k,

By applying the value of x and y,

So,

=> 24 = k / (1/2)³

=> 24 = k / 1/8

=> 24/8 = k

=> k = 3

Therefore, the formula for y in terms of x is,

=> y = 3/ x³

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