Which of the following expressions are equivalent to 20x2−116x+80 ? Select all that apply.
A. (x−5)(5x−4)

B. 4(x−5)(5x−4)

C. 4(x+5)(5x+4)

D. 4x(5x−29)+20

E. 4x(5x−29+80)

F. 2(10x2−58x+40)

Answer: 79,364 Jaguars

Step-by-step explanation:

70000

00004

09000

00060

00300

Add them all together for the answer

Answer: The answer is B. $14.50

Answer:

The correct answer is C.

Sarah saves $8 per week.

The rate of change in this situation describes how much money Sarah saves each week, which is $8.

The solution to this equation is that Sarah saves $8 per week. This can be found by substituting "w" with the number of weeks since she started saving and solving for S.

338 students went on the field trip.

Given:

Four-ninth of the total participants rode a large bus, and the rest rode a smaller bus.

156 people rode the larger bus.

Let x be the total participants.

4/9 x = 156

multiply by 9 on both sides

4*9/9 x = 156*9

4x = 156*9

4x = 1404

divide by 4 on both sides

4x/4 = 1404/4

x = 1404/4

x = 351.

number of students = total participants - adult chaperones.

= 351 -13

= 338 students

Therefore 338 students went on the field trip.

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The integral ∫₁/₁₀¹⁰[㏒₁₀(10x)/x]dx = 2㏑10

Integration is the process of finding the antiderivative of a fuinction.

Given the integral

\(\int\limits^{10}_{\frac{1}{10} } {\frac{log_{10}10x }{x} } \, dx\)

We evaluate the integral as follows

\(\int\limits^{10}_{\frac{1}{10} } {\frac{log_{10}10x }{x} } \, dx\)

Now, using the properties of the laws of logarithms, we have ㏒ab = ㏒a + ㏒b

So, \(\int\limits^{10}_{\frac{1}{10} } {\frac{log_{10}10x }{x} } \, dx = \int\limits^{10}_{\frac{1}{10} } {\frac{log_{10}10 + log_{10}x }{x} } \, dx \\= \int\limits^{10}_{\frac{1}{10} } {\frac{log_{10}10}{x} } \, dx + \int\limits^{10}_{\frac{1}{10} } {\frac{log_{10}x}{x} } \, dx \\= \int\limits^{10}_{\frac{1}{10} } {\frac{1}{x} } \, dx + \int\limits^{10}_{\frac{1}{10} } {\frac{log_{10}x}{x} } \, dx\\\)

So, using the property of change of base of logarithm, we have that

logx = lnx/ln10

, \(\int\limits^{10}_{\frac{1}{10} } {\frac{log_{10}10x }{x} } \, dx = \int\limits^{10}_{\frac{1}{10} } {\frac{1}{x} } \, dx + \int\limits^{10}_{\frac{1}{10} } {\frac{\frac{lnx}{ln10} }{x} } \, dx\\= \int\limits^{10}_{\frac{1}{10} } {\frac{1}{x} } \, dx + \frac{1}{ln10}\int\limits^{10}_{\frac{1}{10} } {\frac{lnx}{x} } \, dx\\= \int\limits^{10}_{\frac{1}{10} } {\frac{1}{x} } \, dx + \frac{1}{ln10}\int\limits^{10}_{\frac{1}{10} } {{lnx} \, dlnx\)

\(\int\limits^{10}_{\frac{1}{10} } {\frac{log_{10}10x }{x} } \, dx = {[lnx]_{\frac{1}{10}}^{10} } + {\frac{[lnx]^{2}}{2} }_{\frac{1}{10}}^{10} } \\= ln10 - ln\frac{1}{10} + \frac{1}{2}[[ln10]^{2} - [ln\frac{1}{10}]^{2} ] \\= ln10 + ln10 + \frac{1}{2}[[ln10]^{2} - [-ln10}]^{2} ]\\= ln10 + ln10 + \frac{1}{2}[[ln10]^{2} - [ln10}]^{2} ]\\= 2ln10 + 0\\= 2ln10\)

So, the we see that the integral \(\int\limits^{10}_{\frac{1}{10} } {\frac{log_{10}10x }{x} } \, dx = 2ln10\)

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Answer:

1

Step-by-step explanation:

Answer:

Literally the answer is 1 lol pls brainliest thx! :D

The maximum possible area is 36 square units.

Answer:

36sq Units at max? i think

Step-by-step explanation:

Have a good day!

#ViolentJax~

Answer:

A. ASA

Step-by-step explanation:

There are two angles and sides marked as congruent\

The angles in the middle are congruent by the Vertical Angles Theorem

They have congruent side with congruent angles adjacent so it's Angle Side Angle

Answer:

ummmm i uhhh :/

Step-by-step explanation:

The mean amount for the three bills is  $100  .

In the question ,

it is given that

the electricity bill for June is = $75

the electricity bill for July is = $75

the electricity bill for August is = $150

Sum of the electricity for three months = 75 + 75 + 150 = 300

number of months =  3

The mean of the three months can be calculated using the formula ,

mean = (sum of bill for three months )/( number of months)

Substituting , the  values

we get

mean = 300/3

= 100

Therefore , the mean amount is $100 .

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The assumption that is NOT part of the least square method for fitting a linear model between two variables, x and y, is:

"There should be a similar amount of variation in the residuals at all values of the predicted response variable."

Finding the linear model that best fits a dataset involves picking the model that minimizes the sum of the squared residuals. In R, a simple linear model can be created using the function "lm(variable_1 ~ variable_2, data = example_df)". Here, "variable_1" represents the explanatory variable or independent variable in the model.

A residual is the distance between the actual (observed) response variable (y) of an observation (data point) and the predicted y value from the model. It is not the letter "c" in the linear model equation, nor the sum of the squared distances between the model's predictions and the observations.

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Step-by-step explanation:

Answer:

In case you have not gotten the answer yet it is the chart, -- 3,3,3,2,3,3,3

Step-by-step explanation:

I took the quiz

Answer:

5/10

Step-by-step explanation:

Hope it helped you

I am not confident, so feel free to give me less rating

75% of the beads are green in color.

percentage, a relative value indicating hundredth parts of any quantity.

Given that Chase ordered a set of beads

He received 4,000 beads in all.

3,000 of the beads were green.

We need to find the  percentage of the beads were green of 4000.

x/100×4000=3000

40x=3000

Divide both sides by 40

x=75%

Hence, 75% of the beads are green in color.

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Answer:

The coordinates of the point Q is (4, 1)

Step-by-step explanation:

The given parameters are;

The directed line segment  extends from R(-2, 4), to S(18, -6)

The ratio in which the point Q partitions the directed line segment = 3:7

Therefore, the proportions of the R to Q = 3/(3 + 7) = 3/10 the length of RS

Which gives;

(-2 + (18-(-2))×3/10,  4 +(-6 -4)×3/10) which is (4, 1)

The coordinates of the point Q = (4, 1)

We check the length from R to S is given by the relation for length as follows

\(l =\sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}\)

Where;

R(-2, 4) = (x₁, y₁)

S(18, -6) = (x₂, y₂)

Length of segment RS  = 22.36

length from R to Q = 6.7086

We check RQ/RS = 6.7082/22.36 = 0.3

Also QS/RS = (22.36 - 6.7082)/22.36 = 0.6999≈ 0.7

The coordinates of the point Q = (4, 1).

Answer:

p=(-0.0125n) + 42.5

Step-by-step explanation:

Let p= price

n = number of shirts

m = slope of the line (note, the more shirts, the lower the price, so we know it's going to be negative)

b = y intercept

There are two points which are (1000, $30) and (3000, $5)

Our slope m = (p1-p2)/(n1-n2)

Filling in from our points m = (30-5)/(1000-3000)

m = 25/-2000

m = -0.0125

Since we have determined our slope, we can now find our equation

p-p1=m(n-n1)

p-30=(-0.0125)(n-1000)

p-30= (-0.0125n) + 12.5

p=(-0.0125n) + 42.5

Then, we can double check with the other point there:

p=(-0.0125n) + 42.5

5? (-0.0125x 3000) + 42.5

5= 5

Therefore,linear equation in the form p(n) is

p=(-0.0125n) + 42.5

Applying the definition of the centroid, the missing segment lengths are:

TU = 5.5

TR = 15

VU = 5.5

RV = 12

VW = 6

TS = 7.5

A centroid is the point where all the three medians that each divide the three sides of a triangle intersect each other. This means that, the medians joins the vertex of a triangle to the midpoint of the side of the triangle that is directly opposite it.

Given that point H is the centroid of triangle RTV, it means that the three medians of triangle RTV intersect at point H, and divides each of the sides of the triangle into equal segments.

Given the following lengths:

Based on the knowledge of the centroid of a triangle, we have;

TU = 1/2(TV)

Substitute

TU = 1/2(11)

TU = 5.5

TR = 2(RS)

Substitute

TR = 2(7.5)

TR = 15

VU = 1/2(TV)

Substitute

VU = 1/2(11)

VU = 5.5

RV = 2(WR)

Substitute

RV = 2(6)

RV = 12

VW = WR

Substitute

VW = 6

TS = RS

Substitute

TS = 7.5

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Answer:

12

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define 1st equation

16x - 2 = 30

Step 2: Solve for x

Step 3: Solve equation

And we have our final answer!

Answer:

Hi There I Used A Calculator

Step-by-step explanation:

the awnser is 4+2ℎ+4

The unite rate of the kendra's bike ride is found as 3 blocks / min.

The given question is-

Unit rate = number of blocks/ total time

Unit rate = 30 / 10

Unit rate = 3 blocks / min

Thus, the unit rate of the kendra's bike ride is found as 3 blocks / min.

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Answer:

The answer is x+8.

Because you gotta factor out first and then cancel.

The equation of the function in standard form is -5.83x² + 816.2x - 25895 (option c).

To find the equation of the function in standard form, we can use the given values of f(x) and x to form a system of equations. Since we know that the function is quadratic, we need at least three values of f(x) to solve for the constants a, b, and c.

Using the given values from the table, we can form the following system of equations:

1,272 = a(50)² + b(50) + c

1,884.5 = a(55)² + b(55) + c

2,322 = a(60)² + b(60) + c

2,584.5 = a(65)² + b(65) + c

2,672 = a(70)² + b(70) + c

2,584.5 = a(75)² + b(75) + c

2,322 = a(80)² + b(80) + c

To find the vertex of the parabola, we can use the formula h = -b/2a and k = f(h). Once we have the vertex, we can substitute its values into the vertex form of the equation to get the standard form of the quadratic function.

Using the given values from the table, we can find the vertex of the parabola:

h = -b/2a b = (f(60) - f(70))/(60-70)

b = -49 h = -b/2a 60 = -(-49)/(2a)

a = -5.83

k = f(h) k = f(60) k =25,895

Now, we have the values of a, h, and k, which we can substitute into the vertex form of the equation:

y = a(x-h)² + k y = -5.83x² + 816.2x - 25895

Expanding this equation, we get:

y = -5.83x² + 816.2x - 25895

This is the equation of the function in standard form.

Therefore, the answer is (C) -5.83x² + 816.2x - 25895

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Answer:

4 km -> 400,000 mm

put a decimal point at the end of 4 and move it to the left 6 times because we know that 1 km is equal to 100,000 and it has zeros.

hence, it is proven that 4 km is equal to 4000,000.

Answer:

False

Step-by-step explanation:

140.23 bigger (>) than 140.203

Answer:

There is an infinite number of solutions.

Step-by-step explanation:

When you simplify the left side of the equation, you get -7n - 14, which is equal to the right side. If you were to plug in any number for n, it will equal the same on both sides of the equation.

The probability that, in any hour, less than 2 customers will arrive is 0.0087 ( round to four decimal places).

The Poisson distribution is a discrete probability distribution that helps to calculate the probability of an event occurring within a given time interval. The average (mean) rate of occurrence within a given time interval ( in hour, day etc) is well known, but exact timing is unknown. The occured events are independent from each other.

We have , at the fidelity credit union

Mean , m = 6.8

let X be random variable for the customers arrive hourly at the drive-through window.

We have to calculate the probability that, in any hour, less than 2 customers will arrive, P(X< 2) .

Using Poisson probability distribution formula

P(X= x ) = e⁻ᵐ ( ᵐ )ˣ/ x!

Where:

here, x <2 , m = 6.8

P(X< 2) = P(X = 0 ) + P(X = 1 )

Now, P(X< 2) = e⁻⁶·⁸(6.8)⁰/ 0! + e⁻⁶·⁸(6.8)/ 1!

= e⁻⁶·⁸ + e⁻⁶·⁸(6.8) = e⁻⁶·⁸( 7.8)

= 0.00868744615

Hence, required probability is 0.0086.

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This is a translation of 2 units to the left and 5 units up, so the correct option is the first one.,

Remember that a vertical translation of N units is:

g(x) = f(x) + N

if N < 0 the translation is down.

if N > 0 the translation is up.

And a horizontal translation of N units is:

g(x) = f(x + N)

If N > 0 the translation is to the right.

if N < 0 the translation is to the left.

Here we have the transformation:

f(x) = x²

g(x) = (x + 2)² + 5

So this is a translation of 2 units to the left and 5 units up.

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The number of people in the office is 13. We want to select different groups of 5 people

Number of ways that the first phone can be answered = 13

Number of ways that the second phone can be answered = 14

Since order is anot allowed, we would apply combination. Thus, the number of ways is

13C5 = 1287

Answer:

15.9

Step-by-step explanation:

Find new values:

6830

(

1

+

0.2

)

=

8196

6830(1+0.2)=8196

2600

(

1

+

0.05

)

=

2730

2600(1+0.05)=2730

Last Year This Year

Stock A 6830 8196

Stock B 2600 2730

Total 9430 10926

Find overall increase:

Find overall increase:

9430

(1+r)=

10926

9430(1+r)=10926

9430

(1+r)9430=

0926

9430

9430

9430(1+r)

​

=

9430

10926

​

1

+

r

=

1.158643

1+r=1.158643

r

=

0.158643

r=0.158643

Subtract 1

Final Answer:

15.9

%

Final Answer: 15.9%

Multiply by 100 and round to nearest 10th