which expressions are equivalent?

The required difference is 160-yard average drives after two lessons.

The percentage is defined as a ratio expressed as a fraction of 100.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

We have been given that before lessons, her drive averaged 240 yards.

Here her drive average = 240 yards

After her first lesson, her drives increase by 25%.

Therefore her drive 2 = 240 + 0.25(240) = 320 yards

After her second lesson, they increase another 25%.

Therefore her drive 3 = 320 + 0.25(320) = 400 yards

So, the required difference in yards of average drives after two lessons

⇒ 400 - 240 = 160 yards

Learn more about the percentages here:

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Answer:

a) -3x^3 - 2x + y - 10 = 0

b) it a trinomial

c) not sure. sorry. :(

hope this helps.:)

Answer:

C

Step-by-step explanation:

12 divided by 3 is 4 and 30 divided by 3 is 10

30 cm on the smaller figure corresponds to 12 meters on the larger figure.

We can write the ratio   30 cm : 12 m

If we divide both parts by the GCF 6 then,

30/6 = 5

12/6 = 2

This means the ratio  30 cm : 12 m  reduces to 5 cm : 2 m

Telling us "2 meters on the real house correspond to 5 cm on the doll house"

Answer:

work is shown and attached

Answer:

28.71 is 435% of 6.6

Step-by-step explanation:

100%/x%=6.6/28.71

(100/x)*x=(6.6/28.71)*x       - we multiply both sides of the equation by x

100=0.229885057471*x       - we divide both sides of the equation by (0.229885057471) to get x

100/0.229885057471=x

435=x

x=435

Answer:

A. 3.5 × 100

Step-by-step explanation:

( 7 × 10⁵ ) × ( 5 × 10⁻⁴ )

(7×5) ×10^(5+(-4))

(7×5) × 10^(5-4)

35 × 10

350

350 is equivalent to 3.5 × 100

Standard form , or standard index form, is a system of writing numbers which can be particularly useful for working with very large or very small numbers.

It is based on using powers of 10 to express how big or small a number is.

Standard form uses the fact that the decimal place value system is based on powers of 10:

10^0 = 1

10¹ = 10

10² = 100

10³ = 1000

10⁴ = 10,000

In laws of indices a² × a³ = a^(2+3)

Answer:

7.6667

Step-by-step explanation:

46÷6=7.6667

brian buys 7.6667 apples i believe.

but please round depending on question

Answer:

-3×3×-3×-3 is positive

Answer:

-3 x 3 x -3 x -3 because the answer is -81.

(Bottom Left)

To rewrite the expression (y + 1) + 4 without using parentheses, we can distribute 4 to the terms inside the parentheses and then combine like terms.

To rewrite the expression without using parentheses, we can use the distributive property. The distributive property states that multiplying a number by a sum is the same as multiplying the number by each term in the sum and then adding them together. In this case, we have (y + 1) + 4, and we can distribute the 4 to both terms inside the parentheses. So, (y + 1) + 4 can be rewritten as y + 1 + 4.Next, we can combine like terms. The terms y and 1 do not have any common variable factors, so they cannot be combined. However, 1 and 4 are both constants, so they can be added together to give us 5. Therefore, y + 1 + 4 simplifies to y + 5.

So, the expression (y + 1) + 4 can be rewritten as y + 5.

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Answer

6,000x

Explanation

To work out how many times greater something is compared to another, we have to divide the larger number by the smaller

To put it more simply, imagine you had 30 apples and I had 6. To work out how many times greater your apple collection was than mine, you would divide your 30 by my 6, and find that you had 5 times as many apples as me (30 ÷ 6 = 5).

The principle is the same here, how many more viruses (3 x 10⁹) are there compared to protozoa (5 x 10⁵)?

We do 3 x 10⁹ ÷ 5 x 10⁵

3 x 10⁹ = 3,000,000,000

5 x 10⁵ = 500,000

3,000,000,000 ÷ 500,000 = 6,000 times more

The correct statement is that the terms are

A. The next three numbers are 1/8, 1/32, and 1/128.

B. The next three-term will be 9, 13.5, and 20.5.

A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after. A series is a sum of sequence terms. That is, it is a list of numbers with adding operations between them.

Given

A. 32, 8, 2, 1/2, ...

B. 16/9, 8/3, 4, 6, ...

A.  32, 8, 2, 1/2... can be expressed as [tex]2^{2n - 1}[/tex]

Then For n= -1, -2, and -3, Then the next three numbers will be

[tex]2^{-2 - 1} \ \ \ \ \ , \ 2^{-4 - 1} \ \ \ \ \ , \ 2^{-6 - 1}\\\dfrac{1}{8} \ \ \ \ \ \ \ \ \ \ \ , \dfrac{1}{32} \ \ \ \ \ \ \ \ \ \ , \dfrac{1}{128}[/tex]

The next three numbers are 1/8, 1/32, and 1/128.

B.  16/9, 8/3, 4, 6... each term increases by 2/4. So the next three-term will be 9, 13.5, and 20.5.

Thus, the terms are 9, 13.5, and 20.5.

More about the sequence and the series link is given below.

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Answer:

x = -1/4 = -0.250

Step-by-step explanation:

Answer:

Step-by-step explanation:

3/8

Answer:

The average rate of change of [tex]f(x) = x^2 +6x+13[/tex]  is 12

The average rate of change of [tex]f(x) =- x^2 +6x+13[/tex] is 10

Step-by-step explanation:

The  average rate of change  of f(x) over an interval between 2 points (a ,f(a)) and (b ,f(b)) is the slope of the  secant line  connecting the 2 points.

We can calculate the average rate of change between the 2 points  by

[tex]\frac{f(b) - f(a)}{b -a}[/tex]-------------------(1)

(1) The average rate of change of the function [tex]f(x) = x^2 +6x+13[/tex]  over  the interval 1 ≤ x ≤ 5

f(a) = f(1)

[tex]f(1) = (1)^2 +6(1) + 13[/tex]

f(1) =1+6+13

f(a) =  20---------------------(2)

f(b) = f(5)

[tex]f(5) = (5)^2 +6(5)+13[/tex]

f(5) = 25 +30 +13

f(5) = 68-----------------------(3)

The average rate of change between (1 ,20) and (5 ,68 ) is

Substituting eq(2) and(3) in (1)

=[tex]\frac{f(5) - f(1)}{5-1}[/tex]

=[tex]\frac{68 -20}{5-1}[/tex]

= [tex]\frac{48}{4}[/tex]

=12

This means that the average of all the slopes of lines tangent to the graph of f(x) between  (1 ,20) and (5 ,68 ) is 12

(2) The average rate of change of the function  [tex]f(x) = -x^2 +6x+13[/tex] over  the interval -1 ≤ x ≤ 5

f(a)  = f(-1)

[tex]f(1) = (-1)^2 +6(-1) + 13[/tex]

f(1) =1-6+13

f(1) = 8---------------------(4)

f(b) = f(5)

[tex]f(5) = (5)^2 +6(5)+13[/tex]

f(5) = 25 +30 +13

f(5) = 68-----------------------(5)

The average rate of change between (-1 ,8) and (5 ,68 ) is

Equation (1) becomes

[tex]\frac{f(5) - f(-1)}{5-(-1)}[/tex]

On substituting the values

=[tex]\frac{68 - 8}{5-(-1)}[/tex]

=[tex]\frac{60}{5+1}[/tex]

=[tex]\frac{60}{6}[/tex]

= 10

This means that the average of all the slopes of lines tangent to the graph of f(x) between  (-1 ,8) and (5 ,68 ) is 10

Answer:

bruh dis ni gga should keep all his lemonade forget his friends

Step-by-step explanation:

Answer:

[tex]m\angle CAB=102\dfrac{6}{7}^{\circ}\\ \\m\angle ABC=51\dfrac{3}{7}^{\circ}\\ \\m\angle ACB=25\dfrac{5}{7}^{\circ}[/tex]

Step-by-step explanation:

AK is angle A bisector, then

[tex]m\angle BAK=m\angle KAC=x^{\circ}[/tex]

BL is angle B bisector, then

[tex]m\angle ABL=m\angle CBL=y^{\circ}[/tex]

Consider triangle ABL. The sum of the measures of all interior angles in this triangle is [tex]180^{\circ},[/tex] then

[tex]m\angle BAL+m\angle ALB+m\angle LBA=180^{\circ}\\ \\2x+2y+y=180\\ \\2x+3y=180[/tex]

Consider triangle ABK. In this triangle,

[tex]m\angle AKB=180^{\circ}-2x^{\circ} \ [\text{Supplementary angles}][/tex]

The sum of the measures of all interior angles in this triangle is [tex]180^{\circ},[/tex] then

[tex]m\angle BAK+m\angle AKB+m\angle KBA=180^{\circ}\\ \\x+(180-2x)+2y=180\\ \\2y-x=0[/tex]

Hence,

[tex]x=2y\\ \\2(2y)+3y=180\\ \\4y+3y=180\\ \\7y=180\\ \\y=\dfrac{180}{7}=25\dfrac{5}{7}\\ \\x=\dfrac{360}{7}=51\dfrac{3}{7}[/tex]

Find the measures of the triangle ABC:

[tex]m\angle CAB=2x^{\circ}=102\dfrac{6}{7}^{\circ}\\ \\m\angle ABC=2y^{\circ}=51\dfrac{3}{7}^{\circ}\\ \\m\angle ACB=180^{\circ}-102\dfrac{6}{7}^{\circ}-51\dfrac{3}{7}^{\circ}=25\dfrac{5}{7}^{\circ}[/tex]

The problem is asking to find all angles of an isosceles triangle ABC with angle bisectors AK and BL. The given conditions imply that the triangle has angles of 45°, 45°, and 90°.

The student is asking about an angle bisector problem in triangle geometry. In triangle ABC, the angle bisectors AK and BL are drawn such that m∠BAC = m∠AKC and m∠ABC = m∠ALB. To solve this problem, we need to use the properties of angle bisectors and triangles.

Since AK is an angle bisector, it bisects ∠BAC into two equal angles. Similarly, BL bisects ∠ABC into two equal angles. We also know that the sum of angles in a triangle is 180 degrees.

Let's denote m∠BAC and m∠AKC as 'x'. Similarly, let's denote m∠ABC and m∠ALB as 'y'. Since AK and BL are bisectors, m∠BAK = m∠CAK = x and m∠ABL = m∠CBL = y. Hence, ∠ACB would be 180 - 2x - 2y (sum of angles in a triangle).

We are given that m∠BAC is equal to m∠AKC and m∠ABC is equal to m∠ALB. This implies that the triangle is isosceles with the following angle measurements: m∠BAC = m∠ABC = x (equal base angles in an isosceles triangle), and m∠ACB = 180 - 2x.

Now, since m∠BAC and m∠ABC are equal, we can say that 2x + (180 - 2x) = 180. Simplifying, we find that x = 45 degrees, and thus, all angles of triangle ABC are 45°, 45°, 90°.

Answer:

Step-by-step explanation:

6/8 - 1/7

And 6/8 = 3/4

The LCM of 7 and 4 = 28

3/4 - 1/7 = {7(3) - 1(4)}/28

= (21 - 4)/28

= 17/28

Answer: According to the pattern i think its 66

Step-by-step explanation:

Final answer:

Buying the least expensive car can save $85, and the average price of the car from the three dealers is $14,250.

Explanation:

To address the question concerning the savings and the average price of a car being advertised by three different dealers, we perform the following calculations:

Answer:

Step-by-step explanation:

∠AOB = 90 degree.

∠BOC = 52 degree.

Arc CDE = 180 degree, since CE is the diameter.

Hence, Arc EAC = 180 degree.

Besides, Arc EAC = Arc EA + Arc AB + Arc BC = Arc EA + 90 + 52 = Arc EA + 142.

Thus, Arc EA = 180 - 142 = 38 degree.

Arc ADC = 180 + 38 = 218 degree.

Answer: 2y + 11x = -104

Step-by-step explanation:

The formula for calculating equation of line given two points is :

[tex]\frac{y-y_{1}}{x-x_{1}}[/tex] = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex]x_{1}[/tex] = -10

[tex]x_{2}[/tex] = -8

[tex]y_{1}[/tex] = 3

[tex]y_{2}[/tex] = -8

substituting the values into the formula , we have :

[tex]\frac{y-3}{x-(-10)}[/tex] = [tex]\frac{-8-3}{-8-(-10)}[/tex]

[tex]\frac{y - 3}{x + 10}[/tex] = [tex]\frac{-11}{2}[/tex]

2(y - 3 ) = -11 ( x +10 )

2y - 6 = -11x - 110

2y + 11x = -110 + 6

2y + 11x = -104

Therefore : the equation of the line in standard form is 2y + 11x = -104

To isolate b, add a and subtract c to the entire equation:

D - a + c = -b

Muliply b by -1 to eliminate the negative:

-D + a - c = b

Answer:

C. 2x² + 7x - 4

Step-by-step explanation:

Given:

(2x-1)(x+4)

= 2x * (x+4) + (-1) * (x+4)  ⇒ Distributive property.

= 2x² + 8x - x - 4             ⇒ Combine like terms.

= 2x² + 7x - 4

The answer is option C. 2x² + 7x - 4

Answer:

See attachment.

Step-by-step explanation:

The given inequality is -2 < x - 3 < 5.

We add 3 to each part of -2 +3< x - 3+3 < 5+3

We now simplify to get: 1 < x < 8.

To represent this on the number line, we have to draw open circles at 1 and 8 and connect them as shown in the attachment.

Answer: (i) 4x - 40 = 76

(ii) 29 questions

Step-by-step explanation:

Let the total number of questions be x.

Since he received 4 points for every correct answer and he got 10 answers wrong , this means he lost 40 points , the equation thus become

4x - 40 = 76

To find the value of x , add 40 to both sides

4x = 116

divide through by 4

x = 29

Therefore , there are 29  questions on his math test

Answer:

The return of My Chemical Romance.

Answer:

It means...EVERYTHING.

Step-by-step explanation:

Answer:

the probability of exactly 4 out of next 7 individuals that the sociologists survey earning over $50000 is given by

= [tex]\binom{7}{4} \cdot (0.3)^4(0.7)^{7-4}[/tex] = 0.09724

Step-by-step explanation:

i) This problem is solved by using the Binomial Probability distribution as the sample size is less than 30.

ii) The sample size is 7

iii) It is given that the probability of an individual earning over $50000 is 30% or 0.3 and therefore the probability of an individual not earning over $50000 is ( 1 - 0.3) = 0.7

iv) Therefore the probability of exactly 4 out of next 7 individuals that the sociologists survey earning over $50000 is given by

= [tex]\binom{7}{4} \cdot (0.3)^4(0.7)^{7-4}[/tex] = 0.09724

9514 1404 393

Answer:

  C)  $47

Step-by-step explanation:

The arrowhead on the graph shows the discount of an item with an original price of 8 is 4. That is, the discount is half the original price.

The discount on $94 will be half that price, or ...

  $94/2 = $47 . . . discount on $94