What is the slope of the line passing through the points (9,7) and (4,-3)?

Answer:

3,150.

Step-by-step explanation:

These are all of the steps to completely and correctly solve this question.

Hope this helps.

Kyle.

k=hj

do u mean to make subject of k

The formula after substitution of indicated variable, k is k = h*j .

The given formula in the question is h = k/j .

We have to substitute the formula to find the required parameter variable k .

Thus we have ,

⇒ h = k/j

∴  k = h*j .

Therefore, the formula after substitution of indicated variable, k is k = h*j .

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Answer:

I did this question just the other day. The answer you are looking for is B or the second one.

Step-by-step explanation:

Answer:

The correct answer option is B. [tex] a _ 1 = -4[/tex], [tex] r = \frac{1}{2} [/tex], [tex] n = 6 [/tex], [tex] S_n = -\frac{63}{8} [/tex].

Step-by-step explanation:

We are given the following:

[tex]6_\sum_{n=1}[/tex] [tex]-4(\frac{1}{2} )^{n-1}[/tex]

and we are to identify the first term ( [tex] a _ 1 [/tex] ), common ratio ( [tex] r [/tex] ), number of terms ( [tex] n [/tex] ) and the sum of n terms ( [tex] S_n [/tex] ).

Here, [tex] a _ 1 = -4[/tex],

[tex] r = \frac{1}{2} [/tex],

[tex] n = 6 [/tex]; and

[tex]S_n = \frac{a_1(1-r^n)}{(1-r)} = \frac{-4(1-0.5^6)}{(1-0.5)} = -\frac{63}{8}[/tex]

The new equation is

Y = (x-8)² .

The other way to write it is like this:  (you might not recognize it in this form)

Y = x² - 16x + 64

The vertex of parabola [tex]y=x^{2}[/tex] is [tex](0,0)[/tex]

After shifting [tex]8[/tex] units towards the right, it will become [tex](8,0)[/tex].

Therefore, the equation of the new parabola will be [tex]y=(x-8)^{2}[/tex].

Hence, the answer is [tex]y=(x-8)^{2}[/tex].

The equation to the new parabola is [tex]y=(x-8)^{2}[/tex].

What is the equation of a parabola?

The general equation of a parabola is: y = a(x-h)2 + k or x = a(y-k)2 +h, where (h,k) denotes the vertex. The standard equation of a regular parabola is y2 = 4ax.

A parabola is nothing but a U-shaped plane curve. Any point on the parabola is equidistant from a fixed point called the focus and a fixed straight line known as the directrix. Terms related to Parabola.

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Answer:

22.62

Step-by-step explanation:

Given:

Side of square = 16

Length of diagonal= x

If the sides of square are 16, then by using pythagora theorem we can calculte length of diagonal:

x=[tex]\sqrt{16^{2} +16^{2} }[/tex]

  =[tex]16\sqrt{2}[/tex]

  =22.62 !

Answer:

The correct answer option is 0.8.

Step-by-step explanation:

We are given the results of spinning a four colored spinner 50 times and we are to find the experimental probability of not getting a blue (in decimal).

Number of times blue spinner is spun = 10

Total number of times spinner is spun = 50

P (not blue) = [tex] 1 - \frac { 1 0 } { 5  0 } = 1 - \frac { 1 } { 5 } =\frac{4}{5}[/tex] = 0.8

The answer above is right

1/3 times 3.14 (can’t use pi button) times 8 times 21

Answer:

The volume of cone = 448π m³

Step-by-step explanation:

Points to remember

Volume of cone = (πr²h)/3

Where r - Radius of cone and

h - Height of cone

To find the volume of given cone

From the figure we can see,

Radius r = 8 m and Height h = 21 m

Volume = (πr²h)/3

 = (π * 8² * 21)/3

 = π * 64 * 7 = 448π

Therefore volume of cone = 448π m³

Answer:

D) 0.97

Step-by-step explanation:

P(blue | yellow) = P(blue and yellow) / P(yellow)

P(blue | yellow) = 0.73 / 0.75

P(blue | yellow) = 0.97

D

Answer:

[tex]x =12.08\ in[/tex]

Step-by-step explanation:

The Pythagorean theorem says that the sum of the side adjacent to the square and side opposite to the square, in a right triangle, is equal to the hypotenuse squared.

This is:

[tex]c ^ 2 = a ^ 2 + b ^ 2[/tex]

[tex]x ^ 2 = 11 ^ 2 + 5 ^ 2[/tex]

Now we solve the equation for the variable x

[tex]x=\sqrt{11^2 +5^2}\\\\x =12.08\ in[/tex]

Finally the hypotenuse is 12.08 in

Answer:

x = 6

Step-by-step explanation:

Equation: x² - 12x + 36 = 0

Quadratic formula: ax² + bx + c = 0 --> x = (-b ± √(b² - 4ac))/2a

Substitute: x = (12 ± √(12² - 4 * 36))/2

Multiply: x = (12 ± √(144 - 144))/2

Subtract: x = (12 ± 0)/2

Solve: x = 6

Answer:

The value of x = 6

Step-by-step explanation:

Points to remember

Solution of a quadratic equation ax² + bx + c = 0

x = [-b ± √(b² - 4ac)]/2a

It is given that,

x² -12x + 36 = 0

To find the solution of given equation

Here a = 1, b = -12 and c = 36

x = [-b ± √(b² - 4ac)]/2a

 =  [--12 ± √((-12)² - 4*1*36)]/2*1

 = [12 ± √(144 - 144)]/2

 = 12/2 = 6

The value of x = 6

Answer: OPTION B

Step-by-step explanation:

The like term of the given monomial [tex]5m^2n[/tex] must have the following characteristics:

- The exponent of "m" must be "2".

- The exponent of "n" must be "1".

Then, you can observe that the option that shows a monomial with this characteristics is the option B.

Therefore, the like term with the given monomial [tex]5m^2n[/tex] is:

[tex]-m^2n[/tex]

Answer:

B

Step-by-step explanation:

Answer:

10 friends.

Step-by-step explanation:

Givens

Sum = 275

a1 = 5

d = 5

n = ?

Formula

Sum = (  (2*a1) + (n - 1)*d) * n / 2   Substitute the knows.

Solution

Sum = ( 2 * 5 + (n - 1)*5 ) * n/2      Combine on the right

275 = (10 + (n - 1)5 ) n/2                Multiply by 2 and remove the brackets.

550 = (10 + 5n - 5) * n                  Combine

550 = (5 + 5n ) * n                        Remove the brackets

550 = 5n + 5n^2                          Subtract 550 from both sides.

5n^2 + 5n - 550 = 0                     Divide by 5 (all terms are divisible by 5)

n^2 + n - 110 = 0                           Factor  

(n + 11)(n - 10) = 0

The only root that has any meaning is n - 10 = 0

n + 11 means Jane has - 11 friends. That has no meaning at all.

n - 10 = 0

n = 10

She had 10 friends who got stickers.

To build a scale model, the student's school height is first converted to centimeters using the scale factor (50.4 cm), then divided by the length of a toothpick and a cotton swab respectively to determine how many of each would be needed to reach the scaled height. The model will be 8 toothpicks tall and approximately 7 cotton swabs tall.

To solve the problem of building a scale model of the student's school, we need to apply the scale factor provided and the measurements of the materials at hand. The school is 30 feet tall, and the scale is 1 ft:1.68 cm.

To calculate the height of the model in toothpicks, we'll convert the height of the school from feet to centimeters, and then divide by the length of a toothpick:

For the model in cotton swabs, we'll also convert the height to centimeters and then divide by the length of a cotton swab:

Complete Question is :

"You have been asked to build a scale model of your school out of toothpicks. Imagine your school is 30 feet tall. Your scale is 1 ft:1.68 cm. If a toothpick is 6.3 cm tall, how many toothpicks tall will your model be? The model will be toothpicks tall. Your mother is out of toothpicks, and suggests you use cotton swabs instead. You measure them, and they are 7.2 cm tall. How many cotton swabs tall will your model be? If necessary, round your answer to the nearest whole number. The model will be approximately cotton swabs tall."

20/25 x 100 —> 2000/25 = 80%

Answer:

80%

Step-by-step explanation:

Step-by-step explanation:

It is solved above

no of children and adult are let as x and y respectively

Galen sold 195 adult tickets and 645 children's tickets at the church carnival.

Let's assume that the number of adult tickets sold is x.

The number of children's tickets sold is 30 more than 3 times the number of adult tickets sold. So, the number of children's tickets sold would be 3x + 30.

The total amount earned from selling adult tickets would be 5x, and the total amount earned from selling children's tickets would be 3(3x + 30) = 9x + 90.

Since the total amount earned from selling all the tickets is $2820, we can set up the equation:

5x + 9x + 90 = 2820

Simplifying the equation,

14x + 90 = 2820

Subtracting 90 from both sides,

14x = 2730

Dividing both sides by 14,

x = 195

Therefore, Galen sold 195 adult tickets. And the number of children's tickets sold would be 3(195) + 30 = 615 + 30 = 645.

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Answer:

Step-by-step explanation:

The line is tangent. Therefore, the angle between the tangent and the radius is the right angle.

We know: the sum of the angles measures in a triangle is 180°.

Therefore we have the equation:

[tex]x+36+90=180[/tex]          combine like terms

[tex]x+126=180[/tex]            subtract 126 from both sides

[tex]x=54[/tex]

The value of x is [tex]54^{0}[/tex].

A line that touches the circle at a single point is known as a tangent to a circle.

As by theorem:

The tangent is always perpendicular to the radius of the circle.

Also, The sum of the angles measures in a triangle is 180°.

By, Using Angle Sum property, we have

90 + x + 36 = 180

x+ 126= 180

x= 180-126

x= 54[tex]^{0}[/tex]

Hence, the value of x is [tex]54^{0}[/tex].

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Answer:

Step-by-step explanation:

Your Answer is top right (:

Answer:

C

Step-by-step explanation:

The problen asks for 5 more than two times n. 2 times n suggests multiplication. So we start out with 2n. When it says 5 more it suggests addition. So we end up with 2n+5

If we assume that she was walking in a straight line then turned 90 degrees, we would say that it was a right angle of a 90 degree angle.

Hope this helps:)

Madeline made a right angle by turning 90° to the left, which exactly measures 90 degrees and is one of the fundamental angle types in geometry.

Madeline made a 90° turn to the left, which is described as a right angle. A right angle is an angle that measures exactly 90 degrees. This is a common type of angle found in many different contexts, such as the corner of a square or rectangle. In geometry, right angles are significant because they have unique properties that distinguish them from other types of angles, such as acute angles (less than 90°), obtuse angles (more than 90° and less than 180°), and straight angles (180°).

The portion of the trip through the mountains was 112.5 miles.

To find this, first, let's denote the time spent in the plains as [tex]\( t_1 \)[/tex] and the time spent in the mountains as [tex]\( t_2 \)[/tex]. Since the total trip took 3 hours and 48 minutes (which is[tex]\( \frac{3}{4} \) hours[/tex]), we have:

[tex]\[ t_1 + t_2 = 3.75 \][/tex]

The distance traveled in the plains is [tex]\( d_1 = 90t_1 \)[/tex] and in the mountains is[tex]\( d_2 = 37.5t_2 \)[/tex]. The total distance traveled is 300 miles, so:

[tex]\[ d_1 + d_2 = 300 \][/tex]

Substituting the expressions for [tex]\( d_1 \)[/tex] and [tex]\( d_2 \):[/tex]

[tex]\[ 90t_1 + 37.5t_2 = 300 \][/tex]

We can rearrange the first equation to express [tex]\( t_1 \)[/tex] in terms of [tex]\( t_2 \)[/tex]:

[tex]\[ t_1 = 3.75 - t_2 \][/tex]

Substituting this into the second equation:

[tex]\[ 90(3.75 - t_2) + 37.5t_2 = 300 \][/tex]

[tex]\[ 337.5 - 90t_2 + 37.5t_2 = 300 \][/tex]

[tex]\[ 337.5 - 52.5t_2 = 300 \][/tex]

[tex]\[ 52.5t_2 = 37.5 \][/tex]

[tex]\[ t_2 = \frac{37.5}{52.5} \][/tex]

[tex]\[ t_2 = \frac{5}{7} \] hours[/tex]

Now, to find the distance traveled in the mountains:

[tex]\[ d_2 = 37.5 \times \frac{5}{7} \][/tex]

[tex]\[ d_2 = 112.5 \] miles[/tex]

So, the portion of the trip through the mountains was 112.5 miles.

Complete question

A train averages a speed of 90 miles per hour across the plains and 37.5 miles per hour through the mountains. If a trip of 300 miles took 3 hour and 48 minutes, how much of it was through the mountains?

Answer:

B

Step-by-step explanation:

The volume of a rectangular prism is the length times width times height.

V = LWH

V = (4√3)(3√6)W

V = 12√18 W

V = 36√2 W

If the volume is irrational, then W cannot have a radical that is half of a perfect square, because when multiplied by √2, that would yield a rational volume.  For example, √18 × √2 = √36 = 6.

Therefore, the answer must be B, because 12 is not half of a perfect square.

V = 36√2 (4√12)

V = 144√24

V = 288√6

Answer:

110˚

Step-by-step explanation: angles 3 4 and six equal 180 together because it is a straight line and angle 3 is 70˚ because angle 1 is 70˚  so if angle 3 is 70˚ then the other 2 angles together have to be 110

Answer:

d???

Step-by-step explanation:

16-7a=-33

-16 | -16

____________

-7a/-7a| -49/-7a

a=7

16- (7•7)= 33

ANSWER

+49/4

EXPLANATION

The given expression is

[tex] {y}^{2} - 7y[/tex]

For this to be a perfect square we must add the square of half the coefficient of y.

[tex]( { \frac{ - 7}{2} })^{2} = \frac{49}{4} [/tex]

The correct choice is the third option.

+49/4

Answer:  The correct option is (C) [tex]+\dfrac{49}{4}.[/tex]

Step-by-step explanation:  We are given to choose the constant term that completes the following perfect square trinomial :

[tex]T=y^2-7y.[/tex]

Let the required constant term be c.

Then, we have

[tex]y^2-7y+c\\\\\\=y^2-2\times y\times\dfrac{7}{2}+\left(\dfrac{7}{2}\right)^2+c-\left(\dfrac{7}{2}\right)^2\\\\\\=\left(y-\dfrac{7}{2}\right)^2+c-\dfrac{49}{4}.[/tex]

Therefore, to complete the perfect square trinomial, we must have

[tex]c-\dfrac{49}{4}=0\\\\\\\Rightarrow c=+\dfrac{49}{4}.[/tex]

Thus, the required constant term is [tex]+\dfrac{49}{4}.[/tex]

Option (C) is CORRECT.

Answer:

-3.

Step-by-step explanation:

Final answer:

The correct answer is D. 0, since the question involves a positive elevation (3 feet above the painting) and does not appropriately call for the use of negative numbers to describe the position of the ceiling relative to the painting.

Explanation:

The question asks about the location of the ceiling in the room relative to the top of the painting, given that the ceiling is 3 feet above the top of the painting and the wall height is 10 feet. To determine this, we can use the information provided without needing to consider mathematical concepts such as negative numbers in a non-standard context.

Since the ceiling is 3 feet above the top of the painting, and this measurement is given in a direct, positive manner, the idea of using negative numbers to describe this position is not applicable. Choices A (-10), B (-7), and C (-3) suggest a misunderstanding of the question's context. The correct answer is D. 0, as it is the only option that does not assign a negative value to describe a position that is above the painting, thereby avoiding the inappropriate assignment of negative numbers to a scenario where they are not contextually relevant.

Thus, the number 3 describes the location of the ceiling in the room relative to the top of the painting as a positive elevation, not as a negative value or a ill-suited attempt to describe spatial positions in a non-intuitive manner.

The answer is:

The answer is the fourth option,

[tex]f(-3)=-\frac{1}{3}[/tex]

Piecewise functions are functions that are composed by two or more expressions, the expression to use will depend of the domain or input that we need to evaluate.

We are given the piecewise function:

[tex]\left \{ {{\frac{1}{x}, if x<-2} \atop{x^{2}, ifx\geq 2}} \right.[/tex]

There, we know that:

We should use the first expression if the value to evaluate is less than -2.

So, for this case, the function will be:

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

We should use the second expression if the value to evaluate is greater or equal than 2.

So, for this case, the function will be:

[tex]f(x)=x^{2}[/tex]

Now, since we are given that the value to evaluate is -3, and its less than -2, we need to use the first expression, and evaluate it.

[tex]-3<-2[/tex]

So, evaluating the function we have:

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

[tex]f(-3)=\frac{1}{-3}[/tex]

[tex]f(-3)=-\frac{1}{3}[/tex]

Hence, we have that the answer is the fourth option,

[tex]f(-3)=-\frac{1}{3}[/tex]

Have a nice day!

Answer:

The way that you would be able to show -63 is 126/-2

The decimal 2.63 is not recurring. However, 2.63 can be expressed as the fraction 263/100 but it cannot be simplified further.

To express the repeating decimal number 2.63 as a quotient of two integers, we can use a straightforward method. First, let's identify the repeating part, which is the "63" after the decimal point. This part repeats infinitely. To convert this into a fraction, we need to set up an equation where x is the repeating decimal:

x = 2.63

Now, we'll subtract the non-repeating part to isolate the repeating part:

100x = 263 (multiplied both sides by 100 to eliminate the decimal)

Now, we'll subtract x from 100x:

100x - x = 263 - 2.63

99x = 260.37

To isolate x, we divide both sides by 99:

x = 260.37 / 99

Now, we can simplify the fraction:

x = 26037 / 9900

To express 2.63 as a quotient of two integers, it is equal to 26037/9900. This fraction can be simplified further if needed, but it is already in the form of two integers.

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ANSWER

[tex]f(x) = x - 12[/tex]

EXPLANATION

The first x-value is 32.

When we subtract 12 from 32, we get:

[tex]32 - 12 =2 0[/tex]

The next y-value is 14.

When we subtract 12 from 14, we get:

[tex]14 - 12 = 2[/tex]

Also when we subtract 12 from -2, we get,

[tex] - 2 - 12 = - 14[/tex]

Let m be the missing x-value,then

[tex]m - 12 = - 6[/tex]

This implies that,

[tex]m = - 6 + 12[/tex]

[tex]m = 6[/tex]

Let n be the missing y-value, then

[tex] - 10 - 12 = n[/tex]

[tex]n = - 22[/tex]

Therefore we can generalize and write the function rule,

[tex]f(x) = x - 12[/tex]

Answer:

there are 100 centimeters in a meter

Step-by-step explanation:

you can remember this by the prefix centi which means 100.