Find the slope of the line given two points:
(8, 10) and (-7, 14)
A
m = -15/4
B
m = -24/1
с
m = -4/15
D
m = 4/15

Answer:

YES true answer

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

2^-3

1/2^3

1/8

1/8

\( \mathtt \green{Hope \: it \: helps \: uh }\)

The best explanation to give for the button on the backpack that reads FBLA-PBL is FBLA-PBL prepares students for careers.

FBLA-PBL which stands for, Future Business Leaders of America-Phi Beta Lambda is a career organization in the United States that was founded to help students prepare for their future careers in a variety of fields.

These fields range from being great employees to running one's own business. They help out by organizing talks and seminars for middle school all the way to college.

In conclusion, the purpose of the Future Business Leaders of America-Phi Beta Lambda is to prepare students for careers.

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Probability is the chance of an event to occur from a number of possible outcomes.

The number of students at the school who prefer track and field is 110.

It is the chance of an event to occur from a number of possible outcomes.

It is given by:

Probability = Number of required event / Total number of outcomes

We have,

Number of students = 550

Sample:

Number of students = 20

Number of students whose favorite sport is track and field = 4

The probability of students whose favorite sport is track and field:

= 4/20

Now,

If 4 out of 20 students' favorite is track and field.

20 students = 4

Multiply 550/20 on both sides.

550/20 x 20 students = 550/20 x 4

550 students = 110

This means that,

There will be 110 students who prefer track and field.

Thus,

The number of students at the school who prefer track and field is 110.

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Answer:

2y^2-4y+2

Step-by-step explanation:

3y^2-4y+1-y^2+4-3

3y^2-y^2-4y+1+4-3

2y^2-4y+1+4-3

2y^2-4y+2

When a buh wa firt planted in a garden,it wa 12 inche tall. After two week, it wa 120% a tall a when it wa firt planted. Tall wa the buh after the two week is   \(\\26 \frac{2}{5}\).

What is improper fractions?

An improper fraction is a fraction whose numerator is equal to or greater than its denominator. 3/4, 2/11, and 7/19 are proper fractions, while 5/2, 8/5, and 12/11 are improper fractions.

12 times 120% + 12

12*120%+12

\($$\begin{aligned}& 120 \% \text { in fractions: } \frac{6}{5} \\& =12 \times \frac{6}{5}+12\end{aligned}$$\)

Follow the PEMDAS order of operations

Multiply and divide (left to right) \($12 \times \frac{6}{5}: \frac{72}{5}$\)

\(=\frac{72}{5}+12$$\)

Add and subtract (left to right) \($\frac{72}{5}+12: \frac{132}{5}$\)

\(=\frac{132}{5}$$\)

Convert improper fractions to mixed numbers: \($\frac{132}{5}=26 \frac{2}{5}$\)

\(=26 \frac{2}{5}$$\)

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The sketch of the function will exhibit a downward trend on both sides and intersect the x-axis at -5, 1, and 4. The exact values of a and b can be chosen to achieve the desired end behavior.

To construct the desired polynomial, we know that since it has downward end behavior on both sides, the leading coefficient must be negative. Moreover, since there are three x-intercepts, the polynomial must have three linear factors corresponding to those intercepts.

Let's denote the polynomial as f(x). Since it has x-intercepts at -5, 1, and 4, the factors of the polynomial can be written as (x + 5), (x - 1), and (x - 4). To ensure downward end behavior, we need to multiply these factors by two additional linear factors. We can choose (x - a) and (x - b), where a and b are large positive values.

Therefore, the equation of the 4th-degree polynomial satisfying the given conditions is:

f(x) = -(x + 5)(x - 1)(x - 4)(x - a)(x - b)

The sketch of the function will exhibit a downward trend on both sides and intersect the x-axis at -5, 1, and 4. The exact values of a and b can be chosen to achieve the desired end behavior.

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Answer:

for number 2: slope is -1/2. for number 3- slope is 3/2. for number 4, it is C

Step-by-step explanation:

Answer:

1. Kayla - the slope is undefined

2. Slope = \(\frac{1}{-2}\) or -0.5

3. Slope = \(\frac{3}{2}\) or 1.5

4.  C

Step-by-step explanation:

A vertical line has undefined slope because all points on the line have the same x-coordinate

(0,1) (2,0)

\(\frac{1 - 0}{0 - 2}\) = \(\frac{1}{-2}\) = -0.5

(0,0) (4,6)

\(\frac{6 - 0}{4 - 0}\) = \(\frac{6}{4}\) = \(\frac{3}{2}\) = 1.5

y = 1.5x

30 = 1.5(20)

30 = 30

Answer:

Step-by-step explanation:

F(x) is simply another way of saying y. We are given the x value of -10. We can substitute this in for x and find y.

f(-10) = 7(-10) - 5

f(-10) = -70 - 5

f(-10) = -75

Answer:

Rewrite the equation in term of  

x

and  

y

.

f

(

x

)

=

2

x

2

−

7

x

+

5

Rewrite the equation in vertex form.

Tap for fewer steps...

Complete the square for  

2

x

2

−

7

x

+

5

.

Tap for more steps...

2

(

x

−

7

4

)

2

−

9

8

Set  

y

equal to the new right side.

y

=

2

(

x

−

7

4

)

2

−

9

8

Use the vertex form,  

y

=

a

(

x

−

h

)

2

+

k

, to determine the values of  

a

,  

h

, and  

k

.

a

=

2

h

=

7

4

k

=

−

9

8

Find the vertex  

(

h

,

k

)

.

(

7

4

,

−

9

8

)

Step-by-step explanation:

Answer:

I believe it would be 12.9

Step-by-step explanation:

perimeter is all of the outside lengths combined. if you take the 61.1 and subtract the lengths it gives you, the remaining length should be your answer

The formula for annually compounded interest is:A=P*(1+r)^tA = 330*(1+0.04375)^18A ≈ $814.14Montraie has $814.14-$675.70 = $138.44 more in his account than Skylar, to the nearest dollar.

The problem is related to compound interest and it involves calculating the difference in the amount of money accumulated by Skylar and Mantri e after 18 years,

given that Skylar invested $330 in an account with an interest rate of 3 and 3/4% compounded continuously and Mantri e invested $330 in an account with an interest rate of 4 and 3/8% compounded annually.Compound interest formula is:

A=P(1+r/n)^(n*t)where A is the amount of money accumulated after t years P is the principal or initial investment r is the annual interest raten is the number of times interest is compounded in a year t is the time in Years For Skylar:Initial Investment,

P = $330Interest Rate, r = 3 and 3/4 %, which can be written as 3.75% in decimal form Time, t = 18 years Since the interest is compounded continuously, the number of times compounded, n = ∞.

The formula for continuously compounded interest is:

A=P*e^(r*t)

where e is the mathematical constant ≈ 2.71828A = 330*e^(0.0375*18)A ≈ $675.70

For Montraie:

Initial Investment, P = $330Interest Rate, r = 4 and 3/8 %,

which can be written as 4.375% in decimal From Time, t = 18 years Since the interest is compounded annually, the number of times compounded, n = 1.

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The amount of baking soda he used is 1.5 teaspoons.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

Given that

When 5 cups of flour are used in a recipe, 2.5 teaspoons of baking soda are required.

Anna wants to reduce the recipe to only 3 cups of flour.

We have to determine

How much baking powder should he use?

According to the question

Let x be the amount of baking soda he used,

A recipe for waffles calls for 5 cups of flour and 2.5 teaspoons of baking powder.

If Jason uses 3 cups of flour.

Then,

The amount of baking soda he used is

x/3 = 2.5/5

solving we get,

x = 1.5

Hence, The amount of baking soda he used is 1.5 teaspoons.

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Answer:

.

Step-by-step explanation:

.

Option B is correct, Replace only the left hand side of one equation with the  sum/difference of the left hand sides of both equations.

Let's take a closer look at the two systems of equations:

System A:

-3x + 12y = 15

7x - 10y = -2

System B:

-x + 4y = 5

7x - 10y = -2

To transform System A into System B, we can replace the left-hand side of the first equation in System A with the left-hand side of the first equation in System B.

So the resulting system will be:

-3x + 12y = 5 (replacing the left-hand side of the first equation in System A with the left-hand side of the first equation in System B)

7x - 10y = -2

Now, we have System B.

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System A:

-3x+12y=15;

7x-10y=-2

System B:

-x+4y=5;  

7x-10y=-2

How can we get system B from system A.

(A) Replace one equation with the sum/difference of both equations

(B)Replace only the left hand side of one equation with the  sum/difference of the left hand sides of both equations

(C) Replace one equation with mutliple of itself

(D) Replace one equation with the multiple of the other equation

Answer:

27%

Step-by-step explanation:

Answer:

6x-5y-40 = 0

Step-by-step explanation:

y-(-2)=6/5(x-5)

5(y+2)= 6(x-5)

5y+10 =6x-30

6x-5y-40 = 0

6x-5y-40 = 0 is the answer

3. The height of the house is that forms similar triangles is 48 feet. 4. The scale factor is 4/3. 5. The value of GP = 5.5. 6. The value of x = 15. 7. The scale factor is 2. 8. The perimeter of triangle PQR is 75 units.

Similar-looking items or form difficulties can be resolved using proportions. The same-shaped things or forms that may vary in size are said to be similar. We can establish a ratio between the matching sides or dimensions of two similar forms or items. The ratio of the respective sides or dimensions of the two forms or items is said to be the same by the proportion. We may modify the percentage and get a solution for the unknown dimension by using algebra to address the issue.

We know that for similar triangles, the ratio of the corresponding  sides are equal.

3. In the given situation we have:

height of garden / length of garden's shadow = height of house / length of house's shadow

Substituting the values given:

Here, 5 feet 3 inches = 5 + 3/12 = 5.25 feet

9 feet / 5.25 = height of house / 28 feet

height of house = (9 feet / 5.25 feet) x 28 feet = 48 feet

Hence, the height of the house is 48 feet.

4. The scale factor is given as:

SF = Original figure / New figure

SF = AC / FH = 16 / 12

SF = 4 / 3

The scale factor is 4/3.

5. For the given similar triangles the ratio of their sides are equal thus,

GF / GP = GH / GQ

Here, GF = GP + 3.3 thus:

GP + 3.3 / GP = 7.2 / 4.5

4.5(GP + 3.3) = GP(7.2)

4.5 GP + 14.85 = 7.2 GP

14.85 = 2.7 GP

GP = 5.5

Hence, the value of GP = 5.5.

7. Given that the two triangles are similar thus,

x / 6 = 35 / 14

x = (35/14)(6)

x = 15

The value of x = 15.

8. The scale factor is:

SF = original figure / new figure

SF = 4 / 2 = 2

The scale factor is 2.

9. The scale factor of the triangle is:

SF = BC / QR = 20 /25 = 4/5

Now,

SF =  AB / PQ

4/5 = 18 / PQ

PQ = 18 (5/4)

PQ = 22.5

Also.

SF = AC / PR

4/5 = 22/PR

PR = 22(5/4)

PR = 27.5

The perimeter of triangle PQR is:

P = PQ + QR + PR

P = 22.5 + 25 + 27.5

P = 75 units.

The perimeter of triangle PQR is 75 units.

10. In the given figure the angle XNM = angle XYZ.

Also, the sides are in proportion.

The similar triangles are XNM and triangle XYZ.

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Step-by-step explanation:

The y-axis reflection line will be horizontal. Take each plotted point and make it an equal distance from the y-axis (0, The reflection line will match the x-axis) you will then have the reflection.

Answer:

the answer would be 132

Step-by-step explanation:

180-48=132

To find the volume of a prism, we need to first identify the formula for its volume. The formula for the volume of a prism is given by multiplying the base area (B) by the height (h). Therefore, the volume of the given prism is V=Bh.

We are given that the base area of the prism is B, which means that the area of the base of the prism is known. The base of a prism can be any polygon, such as a rectangle, triangle, or square. The formula for finding the area of different polygons is different, but it always involves finding the product of the length and width of the base.

Once we know the base area, we need to find the height of the prism. The height is the distance between the two parallel bases of the prism. It can be calculated by dividing the volume of the prism by the base area. Therefore, h=V/B.

To summarize, the volume of the prism is V=Bh, where B is the base area of the prism and h is its height. Once we know the base area, we can calculate the volume of the prism by multiplying it by its height. Remember to include the appropriate units (e.g., cubic centimeters or cubic inches) in your final answer.

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It will take 3 years  for the population to reach 1000 for the exponential model given by P( t ) = 500e0.25t

Exponential growth could be a handle that increments the amount over time. It occurs when the immediate rate of altering i.e the derivative of an amount with regard to time is proportional to the quantity itself. for the given model  P( t ) = 500\(e^{0.25t}\),  for p(t)= 1000

=>1000=   500e0.25t,  dividing both sides by 500 we get,

=> 1000/500 =  e0.25t

Taking log both sides, we get

=> ln(2) =  0.25t

=>t =  ln(2)/0.25 = 0.693/0.25 =2.772, which almost 3

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A population is growing according to the exponential model given by P( t ) = 500e\(e^{.25t}\), where t is measured in years. How many years will it take for the population to reach 1000? (Round your answer to one decimal place.

Answer:

square

Step-by-step explanation:

A square pyramid has a square base.

If we cut parallel to that base, we get a square

Answer: 3 common because this angle is present in both triangles

4 SAA is congruent to SAA

5 corresponding angles of congruent triangle

The patient can consume approximately 2 cans of 12 oz Coca Cola without exceeding the advised sugar limit.

To determine the number of 12 oz cans of Coca Cola the patient can consume, we need to convert the sugar limit provided by the doctor into grams and then calculate the amount of sugar in a 12 oz can of Coca Cola.

Provided:

Sugar limit: 8.5 × 10^(-2) kg

Coca Cola sugar content: 110 g/L

Volume of a 12 oz can: 12 oz (which is approximately 355 mL)

First, let's convert the sugar limit from kilograms to grams:

Sugar limit = 8.5 × 10^(-2) kg = 8.5 × 10^(-2) kg × 1000 g/kg = 85 g

Next, we need to calculate the amount of sugar in a 12 oz can of Coca Cola:

Volume of a 12 oz can = 355 mL = 355/1000 L = 0.355 L

Amount of sugar in a 12 oz can of Coca Cola = 110 g/L × 0.355 L = 39.05 g

Now, we can determine the number of cans the patient can consume by dividing the sugar limit by the amount of sugar in a can:

Number of cans = Sugar limit / Amount of sugar in a can

Number of cans = 85 g / 39.05 g ≈ 2.18

Since the number of cans cannot be fractional, the patient should limit their consumption to 2 cans of Coca Cola.

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The number of men living in the village is 260.

A collection of many linear equations that include the same variables is referred to as a system of linear equations. A linear equation system is often composed of two or more linear equations with two or more variables.A linear equation with two variables, x and y, has the following general form:

                                           \(ax + by = c\)

Given:

Total inhabitants in the village: 817

Number of children: 241

There are 56 more women than men in the village

Total adults = Total inhabitants - Number of children

Total adults = 817 - 241

Total adults = 576

Let number of men in the village be 'x' and number of women in the village be 'y',

∴ y=x+56 (given) ..................(1)

Also, x+y=576 .................(2)

From equation (1) and (2),

x + (x + 56) = 576

2x + 56 = 576

2x = 576 - 56

2x = 520

x = 520 / 2

x = 260

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Answer:

20xπ units

Step-by-step explanation:

Use the formula for the length of an arc.

θ/360 × 2πr

The length of the arc and the central angle is already given.

18/360 × 2πr = xπ

Solve for r.

r = (xπ)/(18/360)/(2π)

r = 10x

The radius is 10x.

The circumference is 2πr.

2π(10x)

20xπ

The circumference of the circle is 20xπ units.

Step-by-step explanation:

Straight line = 180 degrees

 all three of the angles sum to 180 degrees

42  + x + 29 = 180

x = 180 - 42 - 29 = 109 degrees

Answer:

10 feet

Step-by-step explanation:

Answer:

(a) To find the missing angle, we would do inverse tan.

\(angle =tan^{-1}\frac{opp}{adj}\)

\(angle = tan^{-1}\frac{17}{21}\)

angle= 39.0 degrees or 0.7 radians

(b) To find the missing angle, we would do inverse sin.

\(angle= sin^{-1}\frac{opp}{hyp}\)

\(angle= sin^{-1}\frac{12.7}{22.1}\)

angle= 35.1 degrees or 0.6 radians