the value of a varies directly as the square of the value of b, and b=3 when a=10. Find the value of a when b=9.

Answer:

m = -4/3

Step-by-step explanation:

m = y2-y1/x2-x1

therefore at (-3,2) and (0-2)

m = -2-2/0 - (-3)

m = -4/3

Answer: I dont know

Step-by-step explanation:  i need more information

Answer:

d

Step-by-step explanation:

f - green (A)

f' - red (B)

f'' - blue (C)

The graph of f attains local extrema at the same points that f' = 0. There's evidence of this at x = 0 and between x = 3 and x = 3.5. (At both points, curve A attains a maximum, while curve B crosses the x-axis.)

Similarly, the graph of f' attains local extrema at the same points that f'' = 0. This is seen between x = 1.5 and x = 2. (B has a max, C crosses axis)

Also, the graph of A is continuous at x = 1.5 but exhibits a sharp turn, so at this point f is not differentiable and the graph of f' (and subsequently f'') is not continuous.

Answer:

57 ounces

Step-by-step explanation:

He needs 28 oz of oil for every 44 cups. Multiply both to get 56 oz of oil for 88. Since there is one more cup of flour, you will need one more ounce of oil.

Answer:

A dot plot is like a histogram but it uses dots instead of bars. Like histogram, a dot plot also presents the frequency of data points. The dot plot as described by the problem is shown in the picture. A bell shape is drawn for a symmetrical data. From the choices, the answer is: It is symmetric and has no gaps. The other statements are wrong because the peak is at $5 or $6.

Answer:

A dot plot is like a histogram but it uses dots instead of bars. Like histogram, a dot plot also presents the frequency of data points. The dot plot as described by the problem is shown in the picture. A bell shape is drawn for a symmetrical data. From the choices, the answer is: It is symmetric and has no gaps. The other statements are wrong because the peak is at $5 or $6.

Step-by-step explanation:

A dot plot is like a histogram but it uses dots instead of bars. Like histogram, a dot plot also presents the frequency of data points. The dot plot as described by the problem is shown in the picture. A bell shape is drawn for a symmetrical data. From the choices, the answer is: It is symmetric and has no gaps. The other statements are wrong because the peak is at $5 or $6.

Answer:

Q63. B

Step-by-step explanation:

5 cars = 2 houses

1 house = 10 pools = 2.5 cars

1 car = 10÷2.5 = 4

The annual growth rate in the price of the apple will be 7.83%.

The growth rate is defined as the increment of any quantity over a period of time.

Given that:-

The growth rate will be calculated as::-

Growth rate =  Cost in 2017  /  Cost in 2015

Growth rate =  1.55  /  1.34  =  1.15

The growth rate will be 15.67% for the apple in 2 years so for 1 year it will be

15.67 / 2 = 7.8%

Therefore the annual growth rate in the price of the apple will be 7.83%.

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Answer:

[tex]y = \frac{1}{2}x + \frac{3}{2}[/tex]

Step-by-step explanation:

Assuming this is a linear equation in the form of [tex]y = mx + b[/tex], we can first solve for the slope using [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex], for these points, the slope would be [tex]\frac{1}{2}[/tex]. Now we plug in the points to get the equation:

plugging in (7,5), we get [tex]5 = \frac{1}{2}[/tex] ×[tex]7[/tex] + [tex]b[/tex]

and solving for b, we get b = [tex]\frac{3}{2}[/tex]

therefore, the equation of the line passing through (7,5) and (1,2) is [tex]y = \frac{1}{2}x + \frac{3}{2}[/tex].

hope this helps!

Answer:

(3.5; 1.5).

Step-by-step explanation:

1) formula for midpoint:

[tex]x=\frac{X_A-X_B}{2}; \ y=\frac{Y_A-Y_B}{2};[/tex]

2) according to the formula above the required midpoint is:

x=0.5(5+2)=3.5; y=0.5(8-5)=1.5

Answer:

[tex]\sf 207 \ cm^2[/tex]

Step-by-step explanation:

 diameter = 6 cm

             r = 6/2  = 3 cm

            h = 8 cm

         [tex]\sf \boxed{\text{\bf Surface area of cylinder = $2\pi r(h +r)$}}[/tex]

                                                      [tex]\sf = 2*3.14*3 * (3 +8)\\\\ = 2*3.14* 3 * 11\\\\= 207.24\\\\= 207 \ cm^2[/tex]

Answer:

[tex]y=\frac{4}{3} x-9[/tex]

Step-by-step explanation:

Here this is in standard form. Hope this helps!

Answer:

y=4/3x-9

Step-by-step explanation:

equasion for linear function is y=mx+b where y is m is slope and b is y intercept. just plug in your variables

Answer:

Step-by-step explanation:

National car rental equation is

C = 14d + 0.20m  

- where C= total cost, d = the number of days and m = the total number of miles driven.

Triangle ABC is congruent to triangle DEF based on the SAS congruence theorem.

The SAS theorem is a triangle congruence theorem that states that two triangles are congruent if they have two pairs of congruent sides that are corresponding to each other, and a pair of congruent included angles.

Triangles ABC and DEF have:

Therefore, they are congruent by SAS.

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Answer:

5/8 of a cup

Step-by-step explanation:

Answer:

The given equation results in 1.98, so the answer is D) 2

✏ [tex]\sf Solve[/tex]

[tex]\sqrt{2} = 1.41\\\\1.41 * 3.14 = 4.4274\\\\\sqrt{5} = 2.23\\\\\frac{4.4274}{2.23} = 1.98[/tex]

Answer:

60 degrees

Step-by-step explanation:

As shown, this is a equilateral triangle which has the same angle measures.

According to the Triangle Sum Theorem, the sum of all three angles in a triangle is 180 degrees.

Thus,

180 (The sum of all angles in a triangle) /3 (The amount of angles in a triangle) = 60 degrees.

60 because all of the side are equal so it would be 180 divided by 3.

Apply Pythagorean theorem

Answer:

£3263.98 (nearest penny)

Step-by-step explanation:

Compound interest formula

[tex]\sf A=P(1+\frac{r}{n})^{nt}[/tex]

where:

Given:

Substituting given values into the formula and solving for A:

[tex]\implies \sf A=2900(1+\frac{0.03}{1})^{1 \times 4}[/tex]

[tex]\implies \sf A=2900(1.03)^{4}[/tex]

[tex]\implies \sf A=3263.975549[/tex]

Therefore, Colin will have £3263.98 after 4 years (to the nearest penny).

Answer:

$3264

Explanation:

[tex]\sf compound \ interest : P(1+\frac{r}{100} )^n[/tex]  
"P" is principal, "r" is rate of interest, "n" is time (years)

Here given:

After 4 years amount:

[tex]\rightarrow \sf 2900(1+\frac{3}{100})^4[/tex]

[tex]\rightarrow \sf 2900(1.03)^4[/tex]

[tex]\rightarrow \sf 3263.9755[/tex]

[tex]\rightarrow \sf 3264[/tex]  (rounded to nearest whole number)

Answer:

A. F(x) = |x|

Step-by-step explanation:

Any number that substitutes for x inside of the absolute value parent function will be converted to a positive. Example: |-43| = 43

The expression 8 × 35 is equal to 8 × (30 + 5), (8 × 30) + (8 × 5), and 8 × (20 + 15) option A, C, and E are correct.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

We have expression:

= 8 × 35  ⇒ 280

A. 8 × (30 + 5) ⇒ 280

B. 5 + 3 × 35 ⇒ 110

C. (8 × 30) + (8 × 5) ⇒ 280

D. (8 + 30) × (8 + 5) ⇒ 494

E. 8 × (20 + 15) ⇒ 280

Thus, the expression 8 × 35 is equal to 8 × (30 + 5), (8 × 30) + (8 × 5), and 8 × (20 + 15) option A, C, and E are correct.

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Answer:

Estimate the cost of painting a concrete patio if it is a 14 foot by 8 foot rectangle is $25.76

Step-by-step explanation:

Underline is the given:

a concrete patio if it is a 14 foot by 8 foot rectangle

area of the concrete patio: 14ft x 8ft = 112

quart of paint that covers 47 square feet costs $10.99

the cost per foot: 10.99 / 47 = $0.23

the area is 112 so multiply it by cost per foot:

112 x $0.23 = $25.76

The estimated cost of painting the concrete patio is approximately $32.97.

To estimate the cost of painting a concrete patio, we first need to calculate the total area of the patio. The patio is a rectangle with dimensions 14 feet by 8 feet, so the total area is 14 feet × 8 feet = 112 square feet.

Next, we determine how many quarts of paint are needed to cover the patio. Since each quart covers 47 square feet, we divide the total area by 47:

112 square feet ÷ 47 square feet/quart ≈ 2.38 quarts

Since we can't purchase a fraction of a quart, we'll round up to 3 quarts.

Finally, with each quart costing $10.99, the estimated cost of painting the concrete patio is:

3 quarts × $10.99/quart = $32.97

So, the estimated cost of painting the concrete patio is approximately $32.97.

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B. This is the graph of a function, but it is not one-to-one

A function is a type of graph that has a specific relationship between the x and y values.

Vocabulary

First, let's define the words that were used in the answer choices.

Finding a Function

There are different ways to find if a relationship is a function, but with a graph, the easiest way is the vertical line test. The vertical line test is when you draw vertical lines over your graph. If you are able to draw a vertical line everywhere without that line crossing the graph more than once, then the graph is a function.

In this graph, there is no spot in which a vertical line would intersect with the graph more than once. Since it passed the vertical line test, this must mean that x-values never repeat. Thus, this is a function.

Finding a One-To-One Function

Now that we know this is a function, we need to find if this is a one-to-one function. Once again, this can be done multiple ways, but one way is the horizontal line test. This test is similar to the method above; however, horizontal lines are used. In this test, you draw horizontal lines are drawn on the graph. If you can draw a horizontal line at every value without the line intersecting more than once, then it is a one-to-one function.

On this graph, if you were to draw a horizontal line at any of the y-values between 0 and 6, then the line would intersect multiple times. This means that y-values do repeat. Thus, this is not a one-to-one function.

Answer: x=7.7, y=40

3/x = 15/38.5

38.5*3=115.5

115.5/15= 7.7

x=7.7

3/8 = 15/y

15*8=120

120/3= 40

y=40

orrrr you can just easily find the scale factor which is 5, multiply 8 by 5 and get 40. And 38.5/5 which is 7.7

The correct value in this function is f(21) = 157

This question is related to substitution of values. To solve it, just: change x by the indicated value and thus calculate normally.

– The given function being f(x) = 8x - 11, replace X by 21:

f(x) = 8x - 11

f(21) = 8 . 21 - 11

– Finally, just calculate the expression now, like this, multiplying and subtracting the numbers:

f(21) = 8 . 21 - 11

f(21) = 168 - 11

f(21) = 157

Therefore, the correct value of this function will be f(21) = 157

Answer:

1050 miles

Step-by-step explanation:

velocity=distance/time

Distance=450 miles

Time=3 hours

Velocity=150 miles/hours

if time is 7 and velocity is 150 distance is 7x150=1050 miles