Select the correct answer.If the zeros of a quadratic function are 3 and 8, what are the factors of the function?OA (X + 8) and (x-3)O B. (x-8) and (x+3)OC. (x+8) and (x+3)OD. (x-8) and (x-3)

The amount going to her savings accounts is $192

The given parameters are:

Drawings = 24

Rate = $12

The total amount earned from selling the drawings is:

Total = 24 * $12

Evaluate

Total = $288

She buys books with 1/3.

This means that she saved 2/3

So, we have:

Savings = 2/3 * $288

Evaluate

Savings = $192

Hence, the amount going to her savings accounts is $192

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The distance between Basti and Cian is approximately 138.2 ft. Option D

To find the distance between Basti and Cian, we can use the Law of Sines, which relates the lengths of sides to the sines of their opposite angles in a triangle.

Let's label the points: A, B, and C. Ali is at point A, Basti is at point B, and Cian is at point C.

Given:

Angle ABC = 50 degrees (angle opposite side AC)

Angle BAC = 60 degrees (angle opposite side BC)

Ali is 150 ft away from Basti (side AB)

We want to find the distance between Basti and Cian, which is side BC.

Using the Law of Sines, we have:

BC/sin(50) = AB/sin(60)

Substituting the known values:

BC/sin(50) = 150/sin(60)

To find BC, we can rearrange the equation:

BC = (150/sin(60)) * sin(50)

Using a calculator to evaluate the expression:

BC ≈ 138.2 ft

Option D is correct.

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Answer:

A. 1056

Step-by-step explanation:

v=length x width x height

v= 4 x 11 x 4

v= 176

since there are 6 prisms you must multiply it by 6

so, v= 176 x 6

v= 1056

==========================================================

Explanation:

There are 12 choices for the first topping and 11 for the next topping. The decrease is to account for the fact we cannot select a repeat topping.

That gives 12*11 = 132 permutations. If order of toppings mattered, then this would be our final answer.

However, the topping order doesn't matter. So we need to divide by 2 to correct for the double counting.

There are 132/2 = 66 combinations.

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

Alternative Method:

n = 12 toppings are available and r = 2 selections are allowed

Order doesn't matter so we use the nCr combination formula

\(n C r = \frac{n!}{r!(n-r)!}\\\\12 C 2 = \frac{12!}{2!*(12-2)!}\\\\12 C 2 = \frac{12!}{2!*10!}\\\\12 C 2 = \frac{12*11*10!}{2!*10!}\\\\ 12 C 2 = \frac{12*11}{2!}\\\\ 12 C 2 = \frac{12*11}{2*1}\\\\ 12 C 2 = \frac{132}{2}\\\\ 12 C 2 = 66\\\\\)

There are 66 combinations

Notice the 2nd to last step involves 132/2 which was mentioned in the previous section.

Answer:

175 ft

Step-by-step explanation:

5 sections

1 is equal to 35ft

multiply 35×5

Check the picture below.

\((5x)+(5x)+(4x+3)(4x+3)=132\implies 18x+6=132\implies 18x=126 \\\\\\ x=\cfrac{126}{18}\implies x=7\hspace{9em}\underset{RS }{\stackrel{ 5(7) }{\text{\LARGE 35}}}\)

Based on the plot, the number of practice puzzles per week that members solve if they finish the contest puzzle

in one hour is c 4

The line of best fit for the scatter plot shows that there is a positive correlation between the number of practice puzzles solved per week and the time it takes to solve a contest puzzle. This means that as the number of practice puzzles solved per week increases, the time it takes to solve a contest puzzle decreases.

If a member finishes a contest puzzle in one hour, they are on the line of best fit. This means that they solve approximately 4 practice puzzles per week.

The other options are incorrect. Option a is too high, option b is too low, and option d is not on the line of best fit.

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Answer:

Grogg's dad is 22

Step-by-step explanation:

Let D = dad's current age

Let g = Grogg's current age

6(d - 7) = g - 7 → 6d - 42 = g - 7 → 6d -35 = g

4(d - 3) = g - 3 → 4d -12 = g - 3 → 4d -9 = g

Set the two equations equal to each other and solve for d

6d - 35 = 4d - 9  Subtract 4d from both sides

2d -35 = -9  Add 35 to both sides

2d = 44  Divide both sides by 2

d = 22

Helping in the name of Jesus.

Answer:

Step-by-step explanation:

d = current dad age

g = current grogg age

d-7 = 6(g-7)

d-3 = 4(g-3)

Let's solve the first equation first:

Add 7 to both sides: d - 7 +7 = 6g - 42 + 7 so d = 6g - 35

Substitude d = 6g - 35 for d in d - 3 = 4g - 12

(6g-35)-3 = 4g-12 = 6g-38 = 4g-12

Subtract 4g from both sides: 2g - 38 = -12

Add 38 to both sides: 2g = 26

Easy: g = 13

And now substitude g in for any equations.

d-3 = 52-12

d = 43

Answer:

Most geologists classify a mountain as a landform that rises at least 1,000 feet (300 meters) or more above its surrounding area

Step-by-step explanation:

I hope it's help

Answer:

28. B

29. D

30. A

Step-by-step explanation:

28.

2 5/8 yd × 5/6 yd =

= 21/8 × 5/6 yd²

= 105/48 yd²

= 35/16 yd²

= 2 3/16 yd²

Answer: B

29.

2641 becomes 6241.

In 6241, the 6 is in the thousands place.

6 × 1000 = 6000

Answer: D

30.

90 + 7 × (7 - 1) =

Use the correct order of operations.

= 90 + 7 × 6

= 90 + 42

= 132

Answer: A

Answer:

Hope this helps ;) don't forget to rate this answer !

Step-by-step explanation:

To solve this problem, we need to perform the indicated operations in order. The first step is to simplify the expressions inside the parentheses.

(3x7 + 7x5 - 3x² + 7) + (x7 - 3x5 + 2x³ + 3)

= (21x + 35x - 3x² + 7) + (7x - 15x + 2x³ + 3)

The next step is to combine like terms within each parentheses:

= (21x + 35x - 3x² + 7) + (7x - 15x + 2x³ + 3)

= (56x - 3x² + 7) + (-8x + 2x³ + 3)

Finally, we can add the two expressions:

= (56x - 3x² + 7) + (-8x + 2x³ + 3)

= 56x - 3x² - 8x + 2x³ + 3 + 7

= 56x - 3x² - 8x + 2x³ + 10

The final answer is 56x - 3x² - 8x + 2x³ + 10.

Answer:

9 trumpet players

Step-by-step explanation:

35/4 = 9

Hope it helps! (The answer is rounded)

Answer:

residual

Step-by-step explanation:

Residual risk is the risk that remains after risk control have been used to reduce inherent and natural risks

An example of residual risk is when a driver makes use of a seat belt while driving to avoid injuries if there is an accident. Imagine if an accident occurs while he is using the seat belt, residual risk are the injuries he has.

Confidence interval for population proportion is

sample proportion +/- confidence coefficient*standard error of p

Sample proportion = p = x/n = 180/300 = 0.6

Confidence coefficient is the critical value of z for 95% confidence level = 1.96

Standard error of p = sqrt [p*(1-p)/n]

= sqrt [0.6*0.4/300]

= 0.0283

The CI is

0.6 +/- 1.96*0.0283

0.6 +/- 0.055

lower boundary is 0.6-0.055 = 0.545

upper boundary is 0.6+0.055 = 0.655

The CI is (0.545, 0.655)

Answer:

442cm*2

Step-by-step explanation:

360 x 3.14 x 13 (13 is half of 23) thus be the answer of 442 cm*2

(why 360 is because 360 makes a circle. meaning 360 degrees of that means basically that etc if you understand)

Answer:

x = 31°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° , that is

x + 54° + 95° = 180°

x + 149° = 180° ( subtract 149° from both sides )

x = 31°

The number when divided by 43 has a quotient of 3 with 28 as a remainder is 157

The number is 157

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number be = A

Now , the equation will be

A number divided by 43 has a quotient of 3 with 28 as a remainder

So , A / 43 = 3 + 28/43   be equation (1)

On simplifying the equation , we get

A / 43 = 3 + 28 / 43

A/43 = ( 3 x 43 + 28 ) / 43

Multiply by 43 on both sides of the equation , we get

A = 3 x 43 + 28

A = 129 + 28

A = 157

Therefore , the value of A is 157

Hence , The number when divided by 43 has a quotient of 3 with 28 as a remainder is 157

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What is the options?

Answer:

The product of a constant factor of four and a factor with the sum of two terms

Step-by-step explanation:

4(y + 6)

This is two terms, a constant 4 and a term with y+6

We a multiplying so we have a product

Answer:

A

Step-by-step explanation:

I believe A is the best answer because 4 is the constant factor with the sum of y + 6. I just think it best rrepresents the equation! :)

Hey there!

To find the value of x in an equation, you have to solve for x.

Example

Given: 3x - 9 = 0

First, add 9 to both sides:

3x = 9

Then, divide both sides by 3

x = 3

Have a terrifcly amazing day!

Answer:

x=8

Step-by-step explanation:

2x+2 = 4x-14

16=2x

x=8

The tree is approximately 12 feet tall to the nearest tenth of a foot.

We have,

To find the height of the tree, we can set up a proportion using the measurements of the shadow.

Since we know that Tyler is 6 feet tall and his shadow is 10 ½ feet long, we can set up the following expression:

Tyler's height / Tyler's shadow length = Tree's height / Tree's shadow length

6 feet / 10.5 feet = Tree's height / 21 feet

To find the tree's height, we can cross-multiply and solve for it:

6 feet x 21 feet = 10.5 feet x Tree's height

126 feet = 10.5 feet x Tree's height

Dividing both sides of the expression by 10.5 feet:

126 feet / 10.5 feet = Tree's height

12 feet = Tree's height

Therefore,

The tree is approximately 12 feet tall to the nearest tenth of a foot.

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Answer:

2/3

Step-by-step explanation:

The months whose names end in 'y' include Jan, Feb, May, Jul.  The probability of randomly selecting a month whose name ends in 'y' is 4/12 (remember that there are 12 months in a year), or 1/3.

Thus, the probability of selecting a month whose name does NOT end in 'y' is 8/12, or 2/3.  Note that this event is the 'complement' of the first event:  

P(name does not end in 'y') = 1 - P(name does not end in 'y') = 1 - 1/3 = 2/3

The experimental probability of choosing a student who walks to school is given by 0.15625 or 15.625%.

Given data ,

The experimental probability of choosing a student who walks to school can be calculated by dividing the number of students who walk to school by the total number of students in Joe's class.

Number of students who walk to school = 5

Total number of students in the class = 32

Experimental probability = Number of students who walk to school / Total number of students

= 5 / 32

P = 0.15625

Hence , the experimental probability of choosing a student who walks is 0.15625 or 15.625%.

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Answer:

6 ft - 2 in

To convert ft into inches, multiply the amount of ft by 12.

6 * 12 = 72

72 in - 2 in

To find a the scale, make a ratio

72:2

This scale can also be made into 36:1 and 144:4 by simplifying

Hope this helped! \ ( O-o) /               :)

                                  /----\

The area of the drawing of the tabletop for this considered case is obtained being of 36 sq. cm

For a particular scale drawing, it is already specified that all the measurements' some constant scaled version will be taken. For example, let the scale be K feet to s inches.

Then it means

\(\rm 1\: ft : \dfrac{s}{k}\: in.\)

All feet measurements will then be multiplied by s/k to get the drawing's corresponding lengths.

For this case, we're given that:

The tabletop is square, so would be its drawing.

Let the side of the original tabletop be 'a' inches, then:

Area of the tabletop:

\(a^2 = 1296\\a = \sqrt{1296} = 36\) inches.

Since each side of the tabletop is converted by the scale 6 in. to 1 cm in drawing, so we get converted side length of the tabletop in drawing as:

6 in -> 1 cm

36 inches = six times 6 inches -> six times 1 cm = 6 cm

Thus, in drawing, the tabletop has 6 cm sides.

Thus, its area is: \(6^2 = 36\) sq. cm

Thus, the area of the drawing of the tabletop for this considered case is obtained being of 36 sq. cm

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Answer:

The range of the number of seeds in the sample of oranges is 9.

Yes, adding the matrices would give a meaningful result as it provides a measure of the total number of nutrient and calorie intake throughout the day.

Yes, subtracting the matrix from each other gives a measure of the surplus or deficit of nutrients and calorie intake between any pair of meals.

A matrix can only be added to (or subtracted from) another matrix if the two matrices are of the same dimensions .

Hence, it follows that to add or subtract two matrices, just add or subtract the corresponding entries, and place this sum or difference in the corresponding position in the matrix which results accordingly.

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