Evaluate 42 – a² + ab for a = 6 and b = 5.

Answer:

$783.46

Step-by-step explanation:

Compounded interest rate (quarterly) formula: A = P(1 + r/4)^4t

Simply plug in our known variables and solve:

910 = P(1 + 0.015/4)^4(10)

910 = P(1.00375)^40

910 = 1.16151P

P = 783.464

Answer: 783

Step-by-step explanation:

According to the information we can infer that the total yardage traveled from 0 to 120 seconds is 140 yards.

To calculate the total yardage traveled we have to consider the movement of the O'Connor Panthers. In this case we have to consider that the movement in the y axis.

In this case we can conclude that the total yardage traveled was 140 yards because:

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There are two variables, money spent and mugs number

X = number of mugs

Y= number of refills

then money spent equation is

6X + 1.30Y = 29.40

Only one mug was purchased , so then X = 1

6•1 + 1.3Y = 29.40

Y = (29.40 - 6)/1.3

Y = 18 refills

Answer:

yes it is 604892÷4=151,223

Answer:

no answer

Step-by-step explanation:

0.2 (34-2)+0.5

0.2× 32 +0.5

6.4 +0.5

6.9

Answer:

D. 0.25

Step-by-step explanation:

I didnt really have to to step-by-step for this im so sorry if you needed that but I hope i helped <3 Brainilest?

Step-by-step explanation:

21x²-2x +1/2 = 0

x² - 2x ×21 + 1/2× 21 = 0

The statements supported by the data in the table are:

The mean number of cars sold in a month is the same at both dealerships.

The total number of cars sold is the same at both dealerships.

The data for Admiral Autos shows greater variability.

To determine which statements are supported by the data in the table, let's analyze the given information:

The mean number of cars sold in a month is the same at both dealerships.

To calculate the mean, we need to find the average number of cars sold each month at each dealership.

For Admiral Autos:

(4 + 19 + 15 + 10 + 17) / 5 = 65 / 5 = 13

For Countywide Cars:

(9 + 17 + 14 + 10 + 15) / 5 = 65 / 5 = 13

Since both dealerships have an average of 13 cars sold per month, the statement is supported.

The median number of cars sold in a month is the same at both dealerships.

To find the median, we arrange the numbers in ascending order and select the middle value.

For Admiral Autos: 4, 10, 15, 17, 19

Median = 15

For Countywide Cars: 9, 10, 14, 15, 17

Median = 14

Since the medians are different (15 for Admiral Autos and 14 for Countywide Cars), the statement is not supported.

The total number of cars sold is the same at both dealerships.

To find the total number of cars sold, we sum up the values for each dealership.

For Admiral Autos: 4 + 19 + 15 + 10 + 17 = 65

For Countywide Cars: 9 + 17 + 14 + 10 + 15 = 65

Since both dealerships sold a total of 65 cars, the statement is supported.

The range of the number of cars sold is the same for both dealerships.

The range is determined by subtracting the lowest value from the highest value.

For Admiral Autos: 19 - 4 = 15

For Countywide Cars: 17 - 9 = 8

Since the ranges are different (15 for Admiral Autos and 8 for Countywide Cars), the statement is not supported.

The data for Admiral Autos shows greater variability.

To determine the variability, we can look at the range or consider the differences between each data point and the mean.

As we saw earlier, the range for Admiral Autos is 15, while for Countywide Cars, it is 8. Additionally, the data points for Admiral Autos are more spread out, with larger differences from the mean compared to Countywide Cars. Therefore, the statement is supported.

Based on the analysis, the statements supported by the data are:

The mean number of cars sold in a month is the same at both dealerships.

The total number of cars sold is the same at both dealerships.

The data for Admiral Autos shows greater variability.

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Answer: Yo MAMA + Yo nasty daddy = them having a mistake which is you lol

Step-by-step explanation:

In this case we have a translation of 8 units to the left and 11 units upwards.

To find the translation, we just need to compare the two known vertices before and after the translation.

If we have a translation of a units in the x-axis and b units in the y-axis, we will get:

T(a, b)L ---> L'

We know that L = (7, -3) and L' = (-1, 8)

Then we can write:

(7 + a, -3 + b) = (-1, 8)

Then we have two equations:

7 + a = -1 ---> a = -1 - 7 = -8

-3 + b = 8 ---> b = 8 + 3 = 11

Then we have a translation of 8 units to the left and 11 units up-.

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Complete question:

"Right triangle LMN has vertices L(7, –3), M(7, –8), and

N(10, –8). The triangle is translated on the coordinate plane so the coordinates of L’ are (–1, 8).

Find the translation done"

Hello,

\(\dfrac{d(2^x)}{dx} =2^x*ln(2)\\\)

Answer:

245x^2+2520x^2−2175x−2750

Step-by-step explanation:

=((7x−10)(7x+5))(5x+55)

=((7x−10)(7x+5))(5x)+((7x−10)(7x+5))(55)

=245x^3−175x^2−250x+2695x^2−1925x−2750

=245x^2+2520x^2−2175x−2750

Hope it helps :)

Answer:

x = - 9

Step-by-step explanation:

2x + 7 = - 11 ( subtract 7 from both sides )

2x = - 18 ( divide both sides by 2 )

x = - 9

The answer is:

x = -9

Work/explanation:

The point of equations is to find the variable's value by isolating it step-by-step.

For this equation, the variable is x.

To isolate it, I will perform a few operations.

First, I will subtract 7 from each side:

\(\sf{2x+7=-11}\)

\(\sf{2x=-11-7}\)

\(\sf{2x=-18}\)

Divide each side by 2

\(\sf{x=-9}\)

Hence, x = -9.

\(\rule{350}{4}\)

Sir there seems to be a picture in your pixels.

i would assume the measurements (from left to right) is 34m 14m 20m and 14m

find the area of the triangle so split the 24 in half 12 and 12

then multiply 12*14 which is 168

i would assume the area is 168m^2

then multiply by 20m

3360m ^3

Hey there! I'm happy to help!

First, we need to rotate our points 180° about the origin. To find the coordinates after such a rotation, we simply find the negative version of each number in the ordered pair, which can be written as (x,y)⇒(-x,-y).

Let's convert this below

A: (1,1)⇒(-1,-1)

B: (5,4)⇒(-5,-4)

C: (7,1)⇒(-7,-1)

D: (3,-2)⇒(-3,2)

Now, we need to translate these new points five units to the right and one unit down. This means we will add 5 to our x-value and subtract 1 from our y-value. This will look like (x,y)⇒(x+5,y-1). Let's do this below.

A: (-1,-1)⇒(4,-2)

B: (-5,-4)⇒(0,-5)

C: (-7,-1)⇒(-2,-2)

D: (-3,2)⇒(2,1)

Therefore, this new parallelogram has coordinates of A'(4,-2), B'(0,-5), C'(-2,-2), and D'(2,1)

Now you know how to find the coordinates of translated figures! Have a wonderful day! :D

Answer:

Y intercept is (0,3)

Step-by-step explanation:

Check out the image

Answer:

44 square units

Step-by-step explanation:

The area of a trapezoid with bases b₁ and b₂ and height h is given by the formula

\(A=\left(\dfrac{b_1+b_2}{2}\right)h\)

If you're wondering how we get this formula, check the attached illustration (remember the area of a parallelogram is its base multiplied by its height)! Moving on to our trapezoid, the pairs of points (-5,-3)(4,-3) and (6,-7)(-7,-7) form two horizontal segments, which form b₁ and b₂, and our height is the distance between the y-coordinates -3 and -7, which is 4. We can find b₁ and b₂ by finding the distance between the x coordinates in their pairs of points:

\(b_1=|-5-4|=|-9|=9\\b_2=|6-(-7)|=|6+7|=13\)

Putting it altogether:

\(A=\left(\dfrac{9+13}{2}\right)(4)=\left(\dfrac{22}{2}\right)(4)=(11)(4)=44\)

So the area of our trapezoid is 44.

Answer:

They should get 8 napkins

Step-by-step explanation:

4 napkins= 10 items ordered so just do 4x2=8, cause 8 napkins= 20 items.

I hope it helps you!

Bella The Bear~

Answer:

They should get 8 napkins

Step-by-step explanation:

4 napkins= 10 items ordered so just do 4x2=8, cause 8 napkins= 20 items.

I hope it helps you!

~XxBellsAloneXx~

Answer:

384

Step-by-step explanation:

convert tablespoons to teaspoons

32 tbsp is 96 teaspoons

96/.25=384

The total number of servings is 128.

Given ;

We have 32 Tbsb of peppercorns .

You need to make 0.25 teaspoons of cajun seasaning

Then ,

No. of Serving can you  make is = \(\frac{32}{0.25}\)

                                         =  128  

The total number of servings make is 128 .

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Answer:

the answer is b.6

-------------------------

Answer:

they are perpendicular. If you want to check, go on desmos and put both equations there.

Answer:

x = 2

Step-by-step explanation:

simple

just divide 3 by 1.5 to get x

3 / 1.5 = 2

so

x = 2

Hope this helped! Have a nice day! Plz mark as brainliest!!! :D

-XxDeathshotxX

The correct image include the following: B. Green: image A.

In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

By applying a rotation of 270° clockwise about the point (1, 2) to the coordinate of the vertices of blue block D, the coordinate the vertices of of its image would be located at the position of the Green: image A.

In this context, we can reasonably infer and logically deduce that Green: image A is the correct transformed shape.

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Answer:

( x , y , z) = ( 1 , 3 , - 2)

the solution

Explanation:

A = set of odd numbers = {1,3,5}

B = set of factors of 12 = {1,2,3,4,6}

A U B = union of set A and set B

A U B = {1,3,5} union {1,2,3,4,6}

A U B = {1,3,5,       1,2,3,4,6}

A U B = {1,2,3,4,5,6}

The set union operation combines two sets into one bigger set. Duplicates are tossed out.

There are 6 elements in the set A U B = {1,2,3,4,5,6} out of 6 faces of the number cube.

Therefore, the probability event  A U B happens is 6/6 = 1 = 100%; i.e. it is guaranteed to happen. Each face of the number cube is either odd, a factor of 12, or both.

Side notes:

Answer:

-19

Step-by-step explanation:

Hope this helps

Answer: Y-8=5X  Y=-87  -87-8=5X  -95=5x  -95 divided by 5 = -19

X= -19

Step-by-step explanation:Quick mafs

Answer:

Y = -½x + 3/2

Y = -3x + 5

Y = 1/4x - 3¼

Step-by-step explanation:

Parallel implies they have the same gradient

Perpendicular implies the gradient is a negative reciprocal of the other.

Answer:

Step-by-step explanation:

4. f(x) is reflected in the x-axis, vertically translated three units up and horizontally translated four units to the left

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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A company CEO says that 85% of their customers are repeat customers. A sample of 200 customers was taken, and it was found that 162 of them were repeat customers. We want to know if this sample supports the CEO's claim, or if it suggests that less than 85% of the company's customers are repeat customers. We performed a statistical test and found that the sample provides evidence at a significance level of 5% that less than 85% of customers are repeat customers. The conditions for this test are met because the sample was taken randomly, and the sample size is small enough compared to the overall population size.