Find the sum. 5+ 8 + 11 + ... + 122 The sum is 1. a ) (Type an integer or a simplified fraction.)

Another name for AXW is <X

The arrow on XW implies that the segment XW is a ray, such that any of the points X or W can be the starting point

Hence, another name for XW is WX

A ray with an endpoint X is a ray that ends at point X

An example of such ray is XY

The arrow on WX implies that the segment WX is a ray, such that any of the points X or W can be the starting point

Hence, another name for WX is XW

The name AXW represents an angle

An angle can be named after its middle point

Hence, another name for AXW is <X

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The weekly goal of 150 minutes of moderate exercise or 75 minutes of intense exercise has increased by 22.9 percent.

The intensity of exercises depends on mostly the amount of energy you have to spend. But the time spent also differs. Intense exercises are basically exercises that require you to expend more energy than how much you spend on normal exercise. Any exercise becomes intense when you spend 70 to 85 percent of your maximum heart rate working out. It is vigorous but you get the same amount of calories burned.

Moderate exercises are the normal ones. These require normal intake of heart rate and energy but take more time. The walk from your house to your college/school or the normal crunches and all you do are perfect examples of moderate exercises.

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Answer:

Step-by-step explanation:

Is the given equation factorable?

(x - 7)(x - 2) = x^ - 9x + 14 That doesn't work.

-7 * - 2  = 14 but the middle term is - 9 not - 5

x - 7 is not a factor  of x^ - 5x + 14

What is?

Something very ugly (x - 2.5 +/- 2.783 i )

Answer:

f(x) = -(x + 8)(x -14)

= -(x2 - 112 - 6x)

= -x2 + 6x + 112 --- (1)

We know the graph of an equation y = ax2 + bx + c where a ≠ 0 is a parabola. The parabola opens upwards if a > 0 and opens downwards if a < 0. The vertex of the parabola is the point where the axis and parabola intersect. Its x coordinate x = -b/2a and its y coordinate is found out by substituting x = -b/2a in the parabola equation.

The parabola given in the problem statement has a negative coefficient of x2 and hence it is a parabola which opens downwards. Also for the equation

a = -1, b = 6 and c = 112. Therefor the x-coordinate of the vertex is

x = -b/2a

= -(6)/[2(-1)]

= 3

Substituting the value of x = 3 in equation (1) we get,

Now y = -(3)2 + 6(3) + 112

= -9 + 18 + 112 = 121

So the vertex point coordinates are (3, 121) and the y value is 121.

The graph below verifies the vertex point.

vertex of the graph

What is the y-value of the vertex of the function f(x) = -(x + 8)(x - 14)?

Summary:

The y-value of the vertex of the function f(x) = -(x + 8)(x - 14) is 121.

Answer:

2

Step-by-step explanation:

The reciprocal of a number n is \(\frac{1}{n}\)

Here n = 0.5, then reciprocal is

\(\frac{1}{0.5}\) = 2

The measure of <1 is 147 degree.

Given:

m∠2 = 12x - 15

m∠7 = 3x + 21

Since angles 2 and 7 are alternate Exterior angles, they are congruent.

So, 12x - 15 = 3x + 21

12x - 3x = 21 + 15

9x = 36

x = 4

So, <2 = 12x - 15= 48 - 15 = 33

Now, <1 + <2 = 180 (Linear Pair)

<1 + 33 = 180

<1 = 147 degree

Thus, the measure of <1 is 147 degree.

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7x+4=3x-20

Subtract 3x to the left.

4x+4=-20

Subtract 4 to the right.

4x=-24

Divide -24/4 to isolate variable "x".

x=-6

Plug it back it to prove the solution.

7(-6)+4=3(-6)-20

-38=-38

Answer:

7x+3=-25+3x

minus 3 on both sides

7x=-28+3x

minus 3x both sides

4x=-28

divide 4 both sides

x=-7

the number is -7

Answer:

4, 5, 6

Step-by-step explanation:

x>3.75

Answer:

the answer is D. dense means heavier, basically

Answer:

its D dense

Step-by-step explanation:

because dense means more inside

Answer:

Please check the explanation.

Step-by-step explanation:

Completing table 1)

Given the function

y = -3x+2

put x = 3

y = -3(3)+2 = -9+2 = -7

so (x, y) = (3, -7)

Given the function

y = -3x+2

put x = 1

y = -3(1)+2 = -3+2 = -1

so (x, y) = (1, -1)

Given the function

y = -3x+2

put x = 0

y = -3(0)+2 = 0+2 = 2

so (x, y) = (0, 2)

Given the function

y = -3x+2

put x = -1

y = -3(-1)+2 = 3+2 = 5

so (x, y) = (-1, 5)

So the table becomes

x            y = -3x+2          y              (x, y)

3             y = -3(3)+2        -7            (3, -7)

1             y = -3(1)+2         -1             (1, -1)

0             y = -3(0)+2        2             (0, 2)

-1           y = -3(-1)+2          5            (-1, 5)

The graph of the equation y = -3x+2 is also attached below.

On the diagram, the red line represents the y = -3x+2 line.

Similarly,

Completing table 2)

Given the function

y = 2x+4

put x = 0

y = 2(0)+4=0+4 = 4

so (x, y) = (0, 4)

Given the function

y = 2x+4

put x = 1

y = 2(1)+4=2+4 = 6

so (x, y) = (1, 6)

Given the function

y = 2x+4

put x = 2

y = 2(2)+4=4+4 = 8

so (x, y) = (2, 8)

Given the function

y = 2x+4

put x = -1

y = 2(-1)+4=-2+4 = 2

so (x, y) = (-1, 2)

So the table becomes

x            y = 2x+4           y              (x, y)

0            y = 2(0)+4        4            (0, 4)

1             y = 2(1)+4         6            (1, 6)

2             y = 2(2)+4       8            (2, 8)

-1           y = 2(-1)+4         2            (-1, 2)

The graph of the equation y = 2x+4 is also attached below.

On the diagram, the blue line represents the y=2x+4 line.

Answer:

-9 degrees

Step-by-step explanation:

-14 + 8 = -6

-6 + 2 = -4

-4 - 5 = -9

The temperature at 6pm dropped down to 5°.

Given is that at 6am one morning the temperature was -14 degrees by noon it rose 8 degrees and then rose another 2 degrees by 3pm. By 6pm the temperature had dropped 5 degrees

We can write -

T{6 AM} = - 14°

T{12 PM} = 8°

T{3 PM} = (8 + 2)° = 10°

T{6 PM} = 10° - 5° = 5°

Therefore, the temperature at 6pm dropped down to 5°.

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The acceleration of the truck when it has a mass of 5000 kg and the truck driver presses on the brakes is 1.2m/s².

The rate of change of an object's velocity with respect to time is defined as acceleration. Vector quantities are accelerations.

The orientation of an object's acceleration is determined by the orientation of the net force acting on that object's acceleration, which is the rate at which velocity changes over time in terms of both speed and direction. A point or object moving in a straight line is accelerated if it accelerates or decelerates.

Acceleration will be:

= Force / mass

= 6000 / 5000

= 1.2 m/s²

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Answer:

Step-by-step explanation:

ugiohbhupuhu

The answer is 120

do 6 times 10 = 60

then 60 x 2 = 120 cubic in

120 cubic in is the volume of the rectangular prism.

Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m³), a derived unit, is the SI unit of volume. Volume is another word for capacity.

The volume of a rectangular prism is given by the formula:

V = lwh,

where l is the length, w is the width, and h is the height.

Plugging in the given values, we get:

V = (2 in) x (10 in) x (6 in)

V = 120 cubic in

Therefore, the volume of the rectangular prism is 120 cubic in.

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The center of a circle is the point located at the exact middle of the circle. It is calculated by solving the equation, x2 + y2 + 4x + 6y + 36 = 0, in which the x and y coordinates of the center are the two solutions. In this case, the center of the circle is (2, -3).

Rewrite the equation as:

x2 + 4x + y2 + 6y = -36

Move all terms to one side of the equation:

x2 + 4x - 36 + y2 + 6y = 0

Factor the left side of the equation:

(x + 6)2 + (y - 3)2 = 0

Solve for the x and y coordinates of the center

: x = -6 and y = 3

Therefore, the center of the circle is (2, -3).

The center of a circle is the point located at the exact middle of the circle. It is calculated by solving the equation, x2 + y2 + 4x + 6y + 36 = 0, in which the x and y coordinates of the center are the two solutions. To solve for the center, first rewrite the equation as x2 + 4x + y2 + 6y = -36, then move all terms to one side of the equation and factor the left side of the equation as (x + 6)2 + (y - 3)2 = 0. Solving this equation gives x = -6 and y = 3, so the center of the circle is (2, -3). Knowing the center of a circle is very useful in many applications, such as finding the radius of the circle or the equation of the circle.

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Answer:

no because it just reaches one class, not the student body

Step-by-step explanation:

Answer:    y=1x+6

Step-by-step explanation:

The equation of a line is y=mx+c

m is the gradient and c is the y intercept.

on the graph the line intercepts the y axis at 6- the y intercept!

The gradient is the difference in y divide by the difference in x.

(0,6) and (4,10)

10-6=4

4-0=

4

4/4 is 1! so the equation is

y=1x+6

Answer:

y = x + 6

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, 6) and (x₂, y₂ ) = (4, 10) ← 2 points on the line

m = \(\frac{10-6}{4-0}\) = \(\frac{4}{4}\) = 1

the line crosses the y- axis at (0, 6 ) ⇒ c = 6

y = x + 6 ← equation of line

The most appropriate statistical method to determine factors that affect COVID-19 rates would be multivariate regression analysis.

Multivariate regression analysis is a statistical method used to determine the relationship between a dependent variable and several independent variables. In the case of the CDC trying to determine factors that affect COVID-19 rates, the dependent variable would be the COVID-19 rates, and the independent variables would be various factors that could affect the rates, such as age, gender, race, socioeconomic status, vaccination rates, and so on.

The multivariate regression analysis would allow the CDC to examine the relationship between each of these independent variables and the COVID-19 rates while controlling for the effects of the other independent variables. The regression analysis would also provide a way to quantify the strength and direction of each variable's effect on the COVID-19 rates.

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A line goes through point (-7,1) and is parallel to -3y+7x=12. Find a equation in point slope form and find equation in slope intercept form. Show your work

step 1

Find the slope of the given line

-3y+7x=12

isolate the variable y

3y=7x-12

y=(7/3)x-4

slope is m=7/3

step 2

Remember that

If two lines are parallell , then their slopes are equal

so

the slope of the parallel line is m=7/3

Find the equation in point slope form

y-y1=m(x-x1)

we have

m=7/3

point (-7,1)

substitute

step 3

Find the equation in slope intercept form

y=mx+b

we have

m=7/3

point (-7,1)

substitute

1=(7/3)(-7)+b

1=-49/3+b

b=52/3

therefore

Problem N 2

A line goes through the point (3,-4) and is perpendicular to 5x+9y=1. Find an equation in point slope form and find equation in slope intercept form

step 1

Find the slope of the given line

5x+9y=1

9y=-5x+1

y=-(5/9)x+1/9

slope is m=-5/9

step 2

slope of the parallel line is m=-5/9

equation in point slope form is

step 3

equation in slope intercept form is

y=mx+b

m=-5/9

point (3.-4)

-4=-(5/9)(3)+b

-4=-(5/3)+b

b=-4+5/3

b=-7/3

therefore

A firm experiences increasing returns to scale if inputs are doubled and output more than doubles.

When the firm's output grows at a faster rate than the growth in inputs, increasing returns to scale result. In this case, the company experiences economies of scale, which makes it more effective as it grows its production.

The firm is able to boost productivity and efficiency as it expands its scale of operations if inputs are doubled and output more than doubles.

This can be ascribed to a number of things, including specialisation, labour division, the use of capital-intensive technology, discounts for bulk purchases, and spreading fixed costs over a higher output. Lower average costs per unit of output result in higher profitability and competitiveness for the company.

The firm gains a number of benefits from growing returns to scale. First off, it lets the company to benefit from cost savings brought about by economies of scale, allowing it to manufacture goods or services for less money per unit. This may enable more competitive pricing on the market or result in larger profit margins.

Second, raising returns to scale can result in better operational effectiveness and resource utilisation. As the company grows in size, it will be able to use resources more wisely and profit from production volume-related synergies.market prices that are competitive.

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There is a strong positive correlation between the heights of fathers who are taller than 72 inches and their sons.

Based on the data provided in the image, if we only consider fathers who are taller than 72 inches and their sons, we can calculate the correlation between their heights by using the Pearson correlation coefficient.

First, we need to filter the data to only include fathers who are taller than 72 inches and their sons. Using the information in the image, we can see that there are 18 fathers who meet this criteria. We can create a new dataset with this information:

The Pearson correlation coefficient between these two variables is 0.703, which indicates a strong positive correlation between the heights of fathers and their sons who are taller than 72 inches.

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Answer:

Hh

Step-by-step explanation:

Answer: 33 degrees

Step-by-step explanation:

Angles inscribed in the same arc are congruent, so

\(13+4x=-7+8x\\\\20+4x=8x\\\\20=4x\\\\x=5\\\\\implies m\angle CDE=-7+5(8)=33^{\circ}\)

Using the inscribed angle theorems, the measure of the indicated angles are:

1. m∠BOA = 26°

2. m∠BDA = 13°

3. m∠BCA = 13°

Based on the inscribed angle theorem, the following relationships are established:

Given:

Intercepted arc BA = 26°

1. ∠BOA is central angle

Thus:

m∠BOA = 26° (inscribed angle theorems)

2. ∠BDA is inscribed angle.

m∠BDA = 1/2(30) = 13° (inscribed angle theorems)

3. m∠BCA = m∠BDA = 13° (inscribed angle theorems)

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Answer:

D) 7.1 units³

Step-by-step explanation:

V = (3.14)(1.5)²(3/3)

= (3.14)2.25 = 7.1

A can have at most n distinct eigenvalues.

Let A be a 22 matrix. We know that the characteristic polynomial p(x) of A has degree 22, and by the Fundamental Theorem of Algebra, it has 22 complex roots, accounting for multiplicity.

Let λ be an eigenvalue of A with eigenvector x. Then by definition, we have Ax = λx. Rearranging, we get (A - λI)x = 0, where I is the identity matrix of size 22. Since x is nonzero, we have that the matrix A - λI is singular, which means that its determinant is zero.

Therefore, we have p(λ) = det(A - λI) = 0, which means that λ is a root of the characteristic polynomial p(x). Since p(x) has 22 roots, there can be at most 22 distinct eigenvalues for A.

However, we are given that A has size 22. By the trace trick, we know that the sum of the eigenvalues of A is equal to the trace of A, which is the sum of its diagonal entries. Since A is 22 by 22, it has 22 diagonal entries, and therefore the sum of its eigenvalues is a sum of 22 terms.

Since the number of distinct eigenvalues is at most 22, and the sum of the eigenvalues is a sum of 22 terms, it follows that there can be at most two distinct eigenvalues for A. This is because the only way to express 22 as a sum of two distinct positive integers is 1 + 21 or 2 + 20, which correspond to two or more eigenvalues, respectively.

Now, let A be an nn matrix. We can use a similar argument to show that the characteristic polynomial of A has degree n, and therefore has at most n complex roots, accounting for multiplicity.

Suppose that A has k distinct eigenvalues, where k is less than or equal to n. Then we can find k linearly independent eigenvectors of A. Since these eigenvectors are linearly independent, they span a k-dimensional subspace of R^n, which we denote by V.

We can extend this set of eigenvectors to a basis of R^n by adding (n-k) linearly independent vectors to V. Let B be the matrix whose columns are formed by this basis. Then by a change of basis, we can write A in the form B^-1DB, where D is a diagonal matrix whose entries are the eigenvalues of A.

Since A and D are similar matrices, they have the same characteristic polynomial. Therefore, the characteristic polynomial of D also has at most n roots. But the characteristic polynomial of D is simply the polynomial whose roots are the diagonal entries of D, which are the eigenvalues of A. Therefore, A can have at most n distinct eigenvalues.

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Answer:

10

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

The gcf is 10

Step-by-step explanation:

Mousa will pay a total amount of $6,688.16 for his $6,000 loan, with a total interest of $688.16 over the life of the loan.

The total amount Mousa will pay over the life of the loan is the sum of the loan amount and the total interest paid. The loan amount is $6,000, and the total amount he will pay is:

Total amount = Monthly payment * Number of payments

Total amount = $185.81 * 36

Total amount = $6,688.16

Therefore, the total interest paid is the difference between the total amount paid and the loan amount:

Total interest = Total amount - Loan amount

Total interest = $6,688.16 - $6,000

Total interest = $688.16

Therefore, Mousa will pay a total interest of $688.16 over the life of the loan.

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