Can someone help with these? 17 PT + BRainliest

Answer: (D) 7a⁴

Step-by-step explanation:

    [tex]\sqrt{49a^8}[/tex]

[tex]=\sqrt{49} \ \cdot \sqrt{a^8}[/tex]

[tex]=\sqrt{7\cdot 7} \ \cdot \sqrt{a\cdot a\cdot a\cdot a\cdot a\cdot a\cdot a\cdot a}[/tex]

Two on the inside of the radical (square root) symbol makes One on the outside.  Simplify by looking for pairs.

[tex]=\sqrt{\underline{7\cdot 7}} \ \cdot \sqrt{\underline{a\cdot a}\cdot \underline{a\cdot a}\cdot \underline{a\cdot a}\cdot \underline{a\cdot a}}[/tex]

= 7 · a · a · a · a

= 7a⁴

Answer:

So, the final amount of fabric needed is given by:

Red Silk = [tex]1556_{4}^{1}[/tex]

Blue Denim = [tex]1462_{2}^{1}[/tex]

Yellow Satin = [tex]1837_{2}^{1}[/tex]

Cotton Blend = [tex]1125[/tex]

Purple Felt = [tex]1293_{4}^{3}[/tex]

Step-by-step explanation:

We are provided with the amount of fabric needed to make ONE quilt.

i.e. Red Silk = [tex]\frac{83}{16}[/tex]

Blue Denim =  [tex]\frac{39}{8}[/tex]

Yellow Satin =  [tex]\frac{49}{8}[/tex]

Cotton Blend =  [tex]\frac{15}{4}[/tex]

Purple Felt =  [tex]\frac{69}{16}[/tex]

It is required to find the amount of fabric needed to make 300 quilts i.e. we need to multiply the given amount of fabric with 300.

So, the final amount of fabric needed is given by:

Red Silk = [tex]1556_{4}^{1}[/tex]

Blue Denim = [tex]1462_{2}^{1}[/tex]

Yellow Satin = [tex]1837_{2}^{1}[/tex]

Cotton Blend = [tex]1125[/tex]

Purple Felt = [tex]1293_{4}^{3}[/tex]

Answer:

20 good answers, 5 bad.

Step-by-step explanation:

100% - 25 questions

80% - x (correct answers)

x = [tex]\frac{80*25}{100} = 20[/tex]

25 - x = 25 - 20 = 5 bad answers

The formula of a sum of an arithmetic sequence:

[tex]S_n=\dfrac{a_1+a_n}{2}\cdot n[/tex]

We have n = 75 and [tex]a_n=67-2n[/tex].

Calculate the first and seventy-fifth term:

[tex]a_1=67-2(1)=67-2=65\\\\a_{75}=67-2(75)=67-150=-83[/tex]

Substitute:

[tex]S_{75}=\dfrac{65+(-83)}{2}\cdot75=\dfrac{-18}{2}\cdot75=-9\cdot75=-675[/tex]

The value of [tex]\rm S_{75}[/tex] is -675 and this can be determined by using the formula of the sum of n terms in the arithmetic sequence and the given data.

Given :

[tex]\rm a_n= 67-2n[/tex]   --- (1)

The following steps can be used in order to determine the value of [tex]\rm S_{75}[/tex]:

Step 1 - Substitute the value of (n = 1) in the expression (1).

[tex]\rm a_1= 67-2(1)= 65[/tex]

Step 2 - Substitute the value of (n = 75) in the expression (1).

[tex]\rm a_{75}= 67-2(75)= -83[/tex]

Step 3 - Now, the formula of sum in an arithmetic sequence is given below:

[tex]\rm S_n=\dfrac{a_1+a_n}{2}\times n[/tex]

where n is the total number of terms, [tex]\rm a_1[/tex] is the first term, and [tex]\rm a_n[/tex] is the last term.

Step 4 - Substitute the values of the known terms in the above expression.

[tex]\rm S_{75}=\dfrac{65-83}{2}\times 75[/tex]

Step 5 - Simply the above expression.

[tex]\rm S_{75} = -675[/tex]

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Answer:

Step-by-step explanation:

Answer:

Each teacher gets 8 pencils

Step-by-step explanation:

What you do is take 96 and divide it by 3. After you do this you’ll get 36. If you divide 36 by 4 you’ll get 8.

Answer:

B: 41, 45,51

Step-by-step explanation:

an=41 +(n-1)5

To find 1st term plug in 1 for n,

an=41+(1-1)5 ->41

For 2nd term

an=41+(2-1)5 ->46

3rd Term

an=41+(3-1)5 -> 51

Hope this helps.

Answer:

B.

Step-by-step explanation:

The augmented matrix is ...

[tex]\left[\begin{array}{ccc|c}0&-2&7&10\\9&5&0&1\\2&0&1&-5\end{array}\right][/tex]

Missing variables essentially have a coefficient of zero. Coefficients are listed in the same order in each row, and the matrix is "augmented" by the column of constants on the right side of each equation.

Answer:

0, -2, 7, 10

9,  5,  0,  1

2,  0,  1,  -5

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

percent discount = [tex]\frac{discount}{original}[/tex] × 100%

discount = $200 - $150 = $50

percent discount = [tex]\frac{50}{200}[/tex] × 100% = 25%

Final answer:

To find the percent of discount, calculate the difference between the original and sale prices ($50), divide this by the original price, and multiply by 100 to get a 25% discount.

Explanation:

To calculate the percent of discount given on the water skis, you need to determine the difference between the original price and the sale price, and then find what percentage that difference is of the original price.

First, subtract the sale price from the original price to find the amount of discount:

Discount Amount = Original Price - Sale Price

Discount Amount = $200 - $150 = $50

Next, divide the discount amount by the original price and multiply by 100 to get the discount percentage:

Discount Percentage = (Discount Amount / Original Price) × 100

Discount Percentage = ($50 / $200) × 100 = 25%

Therefore, the percent of discount on the water skis is 25%.

Answer:

The measure of <Q is 44.4 degrees. The measure of <T is 44.4 degrees These both mean that they are congruent. I hope this helps

Step-by-step explanation:

180-(98+37.6)=44.4

Answer:

88 ft^2

Step-by-step explanation:

To find the surface area of a rectangular figure

SA = 2(lw+lh+hw)

where l=length, w= width, h = height

let  l=6, h=2, w=4

SA = 2(lw+lh+hw)

     = 2 (6*4+ 6*2+ 2*4)

      =2 (24+12+8)

        =2 (44)

        = 88

SA = 88 ft^2

[ Answer ]

88 Ft^2

[ Explanation ]

- Formula for area of a rectangular prism -

A = 2(w * l + h * l + h * w)

In other words:

Area = width times length + height times length + height times width * 2

- Width times length -

4 * 6 = 24

- Height times length -

2 * 6 = 12

- Height Times Width -

2 * 4 = 8

- Add -

24 + 12 + 8 = 44

- Multiple By 2 -

44 * 2 = 88

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Answer:

3/8 cups of butte

Step-by-step explanation:

She wants half of the recipe so that means  1/2 of the butter.

So it is 3/4 * 1/2 = 3/8 cups of butter.

Answer:

Step-by-step explanation:

The given equation,

[tex]y=-\dfrac{1}{14}x^2+6x+3[/tex]

where,

x is the horizontal distance in feet and

y is the height of the ball in feet.

How high is the ball when it leaves the child's hand.

At the beginning when the ball leaves the hand of the child, the horizontal distance was 0, so putting x=0 we can get the height of the ball.

[tex]y_0=-\dfrac{1}{14}(0)^2+6(0)+3=3\ ft[/tex]

What is the maximum height of the ball.

As the quadratic function has negative leading coefficient, so it will open downwards and at the vertex we will get the maximum value of the function.

The coordinates of vertex are,

[tex]\left(-\dfrac{b}{2a},f\left(-\dfrac{b}{2a}\right)\right)[/tex]

Putting the values,

[tex]=\left(-\dfrac{6}{2\times -\frac{1}{14}},f\left(-\dfrac{6}{2\times -\frac{1}{14}}\right)\right)[/tex]

[tex]=\left(42,f\left(42\right)\right)[/tex]

Now,

[tex]y_{max}=f(42)=-\dfrac{1}{14}(42)^2+6(42)+3= 129\ ft[/tex]

How far from the child does the ball strike the ground.

At the end i.e when the ball touches the ground, the height of the ball is 0. So putting the value of y=0, in the equation,

[tex]\Rightarrow 0=-\dfrac{1}{14}x^2+6x+3[/tex]

[tex]\Rightarrow -\dfrac{1}{14}x^2+6x+3=0[/tex]

[tex]\Rightarrow -x^2+6x(14)+3(14)=0[/tex]

[tex]\Rightarrow -x^2+84x+42=0[/tex]

Solving the quadratic equation, we get

[tex]\Rightarrow x=-0.497,84.5[/tex]

As distance can not be negative, so only considering positive value,

[tex]x=84.5\ ft[/tex]

The ball is 3 feet high when it leaves the child's hand. The maximum height of the ball is 251 feet. The ball strikes the ground approximately 0.4 feet away from the child.

To find how high the ball is when it leaves the child's hand, we need to calculate the height when x = 0. Plugging in x = 0 into the equation, we get y = -1/14(0)^2 + 6(0) + 3 = 3 feet. Therefore, the ball is 3 feet high when it leaves the child's hand.

To find the maximum height of the ball, we need to determine the vertex of the quadratic equation. The formula for the x-coordinate of the vertex of a quadratic equation in the form y = ax^2 + bx + c is given by x = -b/2a. In this case, the x-coordinate is x = -6/(-1/14) = 84 feet. Plugging x = 84 into the equation, we find y = -1/14(84)^2 + 6(84) + 3 = 251 feet. Therefore, the maximum height of the ball is 251 feet.

To find how far from the child the ball strikes the ground, we need to find the x-intercepts of the equation, which represent the points where y = 0. Setting y to 0 and solving for x, we get: -1/14x^2 + 6x + 3 = 0. Using the quadratic formula, we find two values for x: x = 14(6 ± √187) / (-2), which simplifies to approximately x = -0.4 and x = 85.4. The ball strikes the ground approximately 0.4 feet away from the child.

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Answer:

Zeros: -3 odd mult.; 0 odd mult.; 2 odd mult.

Positive leading coefficient

Odd degree likely 3

Step-by-step explanation:

A polynomial graph has several features we look for to determine the equations.

Answer:

(a) A system of equations:

[tex]0.38x+1.56y = 24.80[/tex]  

[tex]x+y = 28[/tex]

(b) Number of blocks were in the order is, 12

Step-by-step explanation:

(a)

Let x represents the number of bricks and y represents the number of blocks.

As per the given statement:

A bricks costs $ 0.38 and a block costs $1.56.

Total  bricks costs = 0.38x and total block costs = 1.56y

The brickyard filled $24.80 order.

⇒ [tex]0.38x+1.56y = 24.80[/tex]                          ......[1]

Since, it contained 28 items.

⇒[tex]x+y = 28[/tex]                                               ....[2]

Multiply equation [2] both sides by 0.38 we have;

[tex]0.38(x+y) = 0.38 \times 28[/tex]

Using distributive property: [tex]a\cdot (b+c) = a\cdot b + a\cdot c[/tex]

0.38x +0.38 y = 10.64                                        ......[3]

Subtract equation [3] from [1] to get x eliminated ;

[tex]0.38x+1.56y -0.38x -0.38y= 24.80 - 10.64[/tex]  

Combine like terms;

1.18y =14.16

Divide both sides by 1.18 we have;

[tex]\frac{1.18y}{1.18} = \frac{14.16}{1.18}[/tex]

Simplify:

[tex]y = 12[/tex]

Substitutes this y value in equation [2] to solve for x;

x + 12= 28

Subtract 12 from both sides we get;

x +12-12 =28-12

Simplify:

x = 16

Therefore, a system of equations that can be used to find the number of bricks and the number of blocks in the order:

[tex]0.38x+1.56y = 24.80[/tex]  

[tex]x+y = 28[/tex]

(b)

The number of blocks are in order(y), is  12.

Answer:

5 and 33

Step-by-step explanation:

Answer:

x < 3      

3 < x < 5

x > 5

Step-by-step explanation:

I got this right, so that's how I know this is the correct answer.

Answer:

He paid the discounted price of $44.22.

Step-by-step explanation:

66 x .33 = 21.78 off the original price

66 - 21.78 = 44.22 is what he paid

Answer:

The Correct Answer is 8^1/3

Step-by-step explanation:

I had this question on OW and this was the correct answer.

Hope I helped:)

Have a great day!!!

Answer:

8

Step-by-step explanation:

We will use the math operation division to find the answer. Division takes a total and divides it into equal amounts. We have a total of 96 and need equal amounts in to each of the 12 groups.

96/12=8 students per group

To divide 96 students into 12 equal groups, you perform a division operation. Using 96 / 12, we find that there are eight students per group.

To determine how many students will be in each of the 12 equal groups, you use division. The total number of students which is 96 will be divided by the number of groups which is 12. Therefore, the equation you need is 96 / 12 = eight students per group.

This division operation is similar to when five students working on a group assignment divide it into five equal parts. Each of the students completes one part. In our scenario, instead of five parts, we are dividing 96 students into 12 parts, hence creating equal groups for the gym class activity.

Answer:

The answers are as follows:

2 Green = 25%

2 Red = 4%

1 Black 1 Green = 15%

1 Green 1 Red = 10%

Step-by-step explanation:

In order to find any of these, we first have to find the probability of pulling any of them individually. To find that, we simply divide the number of marbles by the total in the jar.

Green = 5/10 = 50%

Black = 3/10 = 30%

Red = 2/10 = 20%

Now to find any combination, simply multiply the percentages together. For instance, for 1 black and 1 green, multiply those percentages together.

Black * Green

30% * 50% = 15%

You can do this for any number of combinations

Answer:

711,042,207 is the standard form.

Step-by-step explanation:

The expanded form can be compressed by simply adding the numbers together. When you add each of these together, you get the number above.

Answer:

It would be three

Step-by-step explanation:

Answer:

The expression for the amount Mr. Parker will pay for the van be

x = 50 + 0.35m

Step-by-step explanation:

Let us assume that the  amount Mr. Parker will pay for the van be x.

As given

Mr. Parker wants to rent a cargo van for a day.

It will cost the daily fee of $50 plus $0.35 per mile driven.

Let m = the number of miles .

Than the expression for the amount Mr. Parker will pay for the van.

x = 50 + 0.35m

Therefore the expression for the amount Mr. Parker will pay for the van be

x = 50 + 0.35m

Answer:

50+0.35m or 50+ .35m

your welcome, angel!

Answer:

$0.25+$0.05+$0.03=$0.33

$0.33•6=$1.98

$1.98+$4.87=$6.85

Step-by-step explanation:

Answer:

I think c is the answer.

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

The measure of Angles XWZ is 120 degrees.

To find the measure of XWZ, we need to consider the relationships between different angles in the diagram.

First, we know that angle XYZ is 50 degrees.

Since XY and YZ are tangent to circle O, angle XYZ is equal to angle OXZ. Therefore, angle OXZ is also 50 degrees.

Next, we know that the circumference of circle O is 120 degrees.

A full revolution around a circle is 360 degrees, so the ratio of the circumference of circle O to a full revolution is 120/360 = 1/3.

Since angle OXZ is one-third of a full revolution, it will be equal to one-third of 360 degrees, which is 120 degrees. So, the measure of angle XWZ is 120 degrees.

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The probable question may be:

In the diagram below XY and YZ are tangent to circle O . What is the measure of XWZ? As Angle XYZ is 50 degree and circumference of circle O is 120 degree.

A. 150 degree

B. 180 degree

C. 240 degree

D. 210 degree