The table shows the distance traveled by 4 cycleists. Sort the speeds of the riders, in miles per hour, from slowest to fastest.

The measure of angle is 52, 128 and 132

A  figure which is formed by two rays or lines that shares a common endpoint is called an angle.

Given:

one angle = 52

So,

<2 = 52 (vertically opposite angle)

<1 + <2 = 180 ( linear pair)

<1 + 52 = 180

<1  = 128

and, <1 = < 3 ( vertically opposite angle)

<3 = 132

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Answer:

5(3n - 4)(3n - 10)

Step-by-step explanation:

15n² - 110n + 200 ← factor out 5 from each term

= 5(3n² - 22n + 40) ← factor the quadratic

consider the factors of the product of the coefficient of the n² term and the constant term which sum to give the coefficient of the n- term.

product = 3 × 40 = 120 and sum = - 22

the factors are - 12 and - 10

use these factors to split the n- term

3n² - 12n - 10n + 40 ( factor the first/second and third/fourth terms )

3n(n - 4) - 10(n - 4) ← factor out (n - 4) from each term

(n - 4)(3n - 10)

then

15n² - 110n + 200 = 5(n - 4)(3n - 10)

Answer:

Hello,

Step-by-step explanation:

[tex]15n^2-110n+200=15(n^2-\dfrac{22}{3}x +\dfrac{40}{3} )\\[/tex]

1. I am thinking about 2 numbers with sum=22/3 and product=40/3.

Those numbers are 4 and 10/3 since 4*10/3=40/3 and 4+10/3=22/3

[tex]15(n^2-\dfrac{22}{3}x +\dfrac{40}{3} )=15(n-\dfrac{10}{3} )(n-4)=5*(3n-10)(n-4)[/tex]

2.

[tex]15(n^2-\dfrac{22}{3}x +\dfrac{40}{3} )=15(n^2-2*\dfrac{11}{3} x+(\dfrac{11}{3})^2 -\dfrac{121}{9} +\dfrac{120}{9})\\\\=15((n-\dfrac{11}{3})^2 -\dfrac{1}{9})\\\\=15( n-\dfrac{11}{3} -\dfrac{1}{3})*(n-\dfrac{11}{3} +\dfrac{1}{3})\\=15(n-\dfrac{10}{3})(n-4)\\\\=5(3n-10)(n-4)\\[/tex]

3.

Using discriminant ...

Answer:

Step-by-step explanation:

 a : b

 9 : 6

 2 : x

Cross multiply

6*2 = 9x

12 = 9x

12/9 = x

4/3 = x

The set of points (A) P, T, and Y are collinear.

In response to the question -

Therefore, the set of points (A) P, T, and Y are collinear.

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The correct question is given below:
Which set of points is collinear?

(A) P, T, Y

(B) D, S, Y

(C) H, T, S

(D) Y, D, H

In linear equation, y ≥ x + 12/3 is simple version .

What in mathematics is a linear equation?

y ≥ 1/3 x + 4

y ≥ x/3 + 4

y ≥ x + 12/3

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Answer:

irrational number

Step-by-step explanation:

because it has no repeating pattern

The number x = 90.790170  is rational number as it is a finite decimal and can be represented as a fraction.

Given data:

Let the number be represented as x.

Now, the value of x = 90.790170

Rational numbers can be positive, negative, or zero, and they can be written in the form a/b, where a is the numerator and b is the denominator, with b not equal to zero.

The number 90.790170 is a rational number. A rational number is any number that can be expressed as a fraction of two integers, where the denominator is not zero.

Since 90.790170 is a finite decimal (it doesn't repeat or go on forever), it can be represented as a fraction of two integers.

Hence, 90.790170 is rational.

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(-23/20) in a decimal form long division will be equal to (-1.15)

As per the question statement, we are provided with a fraction: (-23/20).

We are required to calculate the simplest form of the fraction in decimals using to the long division method.

The long division method works with 4 component: dividend, divisor, quotient and remainder. And the steps to perform the long division method are as follows:

Step 1: To take the first digit of the dividend from the left and check if this digit is greater than or equal to the divisor.

Step 2: Then, to divide it by the divisor and write the answer on top as the quotient.

Step 3: To subtract the result from the digit and write the difference below.

Step 4: To bring down the next digit of the dividend (if present).

Step 5: To Repeat the same process.

Hence, converting the fraction (-23/20) to decimal values using the process of long division method mentioned above, we get (-1.15).

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The reminder by dividing f(x)= x⁴ + 7x³ + 17x² + 20x is divided by x² + 4 is x² + 7x + (-13x² - 8x)/(x² + 4) so none of the given option is correct.

The number system is a way to represent or express numbers.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

Given the dividend f(x)= x⁴ + 7x³ + 17x² + 20x and diviser x² + 4

The first time it will go to x²

Then,

Quotient = x²

Remainder = 7x³ - 13x²

The second time goes to 7x

Quotient = 7x

Remainder = -13x² - 28x

The third time it is not divisible so  (-13x² - 8x)/(x² + 4) will be the reminder.

Together it is  x² + 7x + (-13x² - 8x)/(x² + 4).

Hence "The reminder by dividing f(x)= x⁴ + 7x³ + 17x² + 20x is divided by x² + 4 is x² + 7x + (-13x² - 8x)/(x² + 4)".

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The value of x in the angles is 17

The angles are given as

3x + 10 and 2x - 5

These angles are complementary angles

So, we have

3x + 10 + 2x - 5 = 90

Collect the like terms

So, we have

3x + 2x + 10 - 5 = 90

Evaluate the like terms

So, we have

5x = 85

Divide both sides by 5

x = 17

Hence, the value of x in the angles is 17

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All real numbers x more than 2 units from 0 will be |x - 2| ≤ 0.

What does "real number" mean?

All real numbers x at most 2 units from 0

This means if x is centered at 2 then it can move at the max 2 units on either side (i.e. 4 units after 2 and 0 units before 2)

This will be |x - 2| ≤ 0

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The quadratic equation is:

y = (x - 2)^2 - 3

So the correct option is A.

The graph clearly is the graph of a quadratic equation, there we can see that:

The y-intercept is y = 1.

The vertex is (2, -3)

Remember that if we know that a quadratic equation has a vertex (h, k), then the equation can be written as:

y = a*(x - h)^2 + k

In this case, the vertex is (2, -3), replacing that we get:

y = a*(x - 2)^2 - 3

Now, we can find the value of a, the leading coefficient, by using the fact that the y-intercept is y = 1, evaluating in zero we should get:

1 = a*(0 - 2)^2 - 3

1 = a*4 - 3

1 + 3 = a*4

4/4 = a = 1

Then we conclude that the quadratic equation is:

y = (x - 2)^2 - 3

So the correct option is A.

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Answer:

expression d is your right answer

Answer:

[tex]30 \div 5[/tex]

Way A

• 5 divided by 0 is 0.

• 5 divided by 3 is 0.6, flip the number, and you get 6.

Way B

• Divide 30 by 5 to get 6.

Since f(g(x)) = g(f(x)) = x, hence the function f(x) and g(x) are inverses of each other.

In order to determine if the function f(x) and g(x) are inverses of each other, the composite function f(g(x)) = g(f(x))

Given the function

f(x)= 5-3x/2 and

g(x)= 5-2x/3

f(g(x)) = f(5-2x/3)

Substitute

f(g(x)) = 5-3(5-2x)/3)/2

f(g(x)) = (5-5+2x)/2

f(g(x)) = 2x/2

f(g(x)) = x

Similarly

g(f(x)) = 5-2(5-3x/2)/3

g(f(x)) = 5-5+3x/3

g(f(x)) = 3x/3

g(f(x)) =x

Since f(g(x)) = g(f(x)) = x, hence the function f(x) and g(x) are inverses of each other.

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The scientist that made a more concentrated salt solution is scientist A.

Since Scientist A dissolved 1.0 kilogram of salt in 3.0 liters of water. The concentration will be:

= 1/3 = 0.33

Scientist B dissolved 2.0 pounds of salt into 7.0 pints of water. The concentration will be:

= 2/7

= 0.285

Therefore, the scientist that made a more concentrated salt solution is scientist A.

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5% of votes were for Tom: 27

2/9 of the votes were for Rebecca: 114

213 votes are for Wendy

x+2x+x=d is solution set of a linear system whose augmented matrix.

What does matrix mean?

First statement

[ 1 2 3 | d][x]

[ 1 2 3]x=d

x+2x+3x=d

Second statement

Ax=d

Given that A = [ 1 2 3]

[ 1 2 3]x=d

x+2x+3x=d

x+2x+x=d

Then, they are going to have the same solution

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When the function changes from increasing to decreasing, a local maximum occurs. The value of a = 5e.

A local maximum point on a function is a point (x, y) on the function's graph whose y coordinate is greater than all other y coordinates on the graph at "close to" points (x, y).

When the function changes from increasing to decreasing, a local maximum occurs. This means that the function's derivative will shift from positive to negative.

Let the function be [tex]&F(x)=a x e^{b x} \\[/tex]

[tex]&F '(x)=d / d x\left(a x e^{b x} ) \\[/tex]

[tex]&=a(d / d x)\left(x e^{b x}) \\[/tex]

simplifying the above equation, we get

[tex]&=a\left[\left(d / d x* x\right) e^{b x} +\left(x* d / d x* e^{b x} )\right] \\[/tex]

[tex]&=a\left[e^{b x} +b x e^{b x} \right] \\[/tex]

[tex]$&=a[1+b x] e^{b x}[/tex]

For critical points, set [tex]$f^{\prime}(x)=0$[/tex] and solve for x

[tex]&a[1+b x] e^{b x} =0 \\[/tex]

simplifying the above equation, we get

1 + bx = 0

bx = -1

x = -1/b

The value of x = -1/b

Given that f(x) has local max at 1/5, critical point x = 1/5 then

-1/5 = -1/b

Therefore, b = -5

[tex]&F(x)=a x e^{-5x}\\[/tex]

[tex]&F(1 / 5)=a / 5 e^{-1}\\[/tex]

1 = a/5e

Therefore, the value of a = 5e.

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The equation of the function g(x) is g(x) = -2|x - 2| + 5

The function f(x) is given as

f(x) = 2|x - 2| - 5

The rule of the transformation is a reflection across the x-axis

This is represented as

g(x) = -f(x)

So, we have

-f(x) = -2|x - 2| + 5

Substitute g(x) = -f(x) in -f(x) = -2|x - 2| + 5

g(x) = -2|x - 2| + 5

Hence, the equation of the function g(x) is g(x) = -2|x - 2| + 5

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The digits that make the given statement true are 3 or 7.

So, 5,156,9_6 to be divisible by 4:

Therefore, the digit that makes the given statement true is 3 or 7.

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The correct question is given below:
Type a digit that makes this statement true.

5,156,9_6 is divisible by 4.

The ounces of onions is 5 ounces.

Let the onions be represented by x.

The recipe uses 4 times more carrots than onions. The carrots will be 4 × x = 4x.

Therefore, the equation will be:

4x + x = 25

5x = 25

Divide by 5

x = 25/5

x = 5

Therefore, the ounces of onions is 5 ounces.

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Answer:

Step-by-step explanation:

The ounces of onions is 5 ounces.

The recipe uses 4 times more carrots than onions. The carrots will be 4 × x = 4x.

Therefore, the equation will be:

4x + x = 25

5x = 25

Divide by 5

x = 25/5

x = 5

Therefore, the ounces of onions are 5 ounces.

The total amount that Adele will have in her account at the end of the 3 years is $2,315.25.

Given that, principal=$2000, rate of interest=5% and time period=3 years.

The compound interest formula is used to calculate compound interest, sometimes known as "interest on interest". The formula for compound interest is [tex]A = P(1 + \frac{r}{100})^{nt}[/tex], where P= principal balance, r= interest rate, n= number of times interest is compounded per time period and t= number of time periods.

Now, A=2000(1+5/100)³

=2000(1+0.05)³

=2000(1.05)³

=$2,315.25

Therefore, the total amount that Adele will have in her account at the end of the 3 years is $2,315.25.

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The proportion of individuals who purchased organic products is 24.77%.

The target variable is the variable whose values are modeled and predicted by other variables. A predictor variable is a variable whose values will be used to predict the value of the target variable

The target variable (also called the dependent variable) used in the analysis for this tutorial is a categorical variable that differentiates clinicians in the study that indicated that they would be Highly Likely to Use Product X from those that had a Low Likelihood to Use the new product

Organic food is grown without the use of synthetic chemicals, such as human-made pesticides and fertilizers, and does not contain genetically modified organisms (GMOs). Organic foods include fresh produce, meats, and dairy products as well as processed foods such as crackers, drinks, and frozen meals.

According to the plot the distribution of target variable is as follows

0’s: 167181’s

5505

The proportion of individuals who purchased organic products are: 5505/22223

= 0.2477

=24.77%

That is around 24.77% people have purchased organic products.

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The equation that can be used to find the number of days is 32 - 3n = 11

The given parameters are

Initial amount = 32

Rate = 3 i.e. 3 children

Amount left = 11

Let the number of days be n

So, we have:

Initial amount - number of days * rate = amount left

This gives

32 - 3n = 11

Hence, the equation that can be used to find the number of days is 32 - 3n = 11

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Answer:

720

Step-by-step explanation:

4x180=720 u have to multiply because 4 miled in 180 days is the same as 4x180

Answer:

We can see that after 2 years, enrollment becomes 35 instead of 15.

35/15=2.333...)

Since it's exponential, take sqrt(2.333...)=about 1.5

So the growth is 50%

The perimeter of the triangle in discuss expressed in terms of the length of the base as required in the task content is; Perimeter= 5x.

According to the task content, it follows that the perimeter of the triangle in terms of the length of the base is to be determined.

Let x = length of the base

Therefore, length of each leg = 2x.

Therefore, since the perimeter of the triangle is the sum of all sides; it follows that we have;

Perimeter = x + 2x +2x

Perimeter = 5x.

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Answer:

∠A

∠EAU

∠UAE

Step-by-step explanation:

You can name an angle by their middle vertex letter which, in this case, is A.

You can also name an angle using the three letters provided: E, A, U.

However, the vertex letter should always be in the middle. So, it could be ∠EAU and ∠UAE.

Let me know if you don't understand or need more explanation.