Write an equation in slope intercept form for the given slope and y-intercept form:
Slope:-5
Y-intercept: (0,4)

Answer:a. 7 is also the factor.

Step-by-step explanation: 21 is factor of 79275, so check the factors of 21 from options.

7 is factor of 21 so 7 is also factor of 79275.

21 is a factor of 79275 then 7 is also a factor of number  79275

A number system is defined as a system of writing to express numbers.

To determine if a number is a factor of 79275, we need to check if it divides evenly into 79275 without leaving a remainder.

Since 21 is a factor of 79275

we can write 79275 as 21 multiplied by some other number

79275 = 21 × (some number).

If a number is a factor of both 21 and (some number), it will also be a factor of their product, which is 79275.

The only number that is a factor of 21 is 7.

Therefore, 21 is a factor of 79275 then 7 is also a factor 79275

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Answer:

D) 11/15

Step-by-step explanation:

11/15 is the doble amount of 5.5/7.5, but is the same number if you divide it.

The ratio of the width to the length of the swimming pool with a width of 5.5 yards and a length of 7.5 yards is 11/15 yards, which corresponds to answer D) 11/15 yards.

The student has asked to find the ratio of the width to the length of a rectangular swimming pool where the width is 5.5 yards and the length is 7.5 yards. To find this ratio, we divide the width by the length:

Ratio = Width / Length = 5.5 yards / 7.5 yards. Simplifying this we get:

Ratio = 11/15 yards.

Therefore, the correct answer is D) 11/15 yards.

Just to clarify, here are the answer choices:

A. {(–3,–17), (4,11), (7,19)}

B. {(3,22), (2,3), (8,27)}

C. {(4,29), (–6,–58), (7,19)}

D. {(–2,–18), (4,37), (5,15)}

And all of the points in the set must satisfy y ≤ 8x – 3.

The only way is to go through each answer choice, eliminating each that is wrong.

A) -17 ≤ -3*8-3

-17 ≤ -21 ✘

B) 22 ≤ 3*8-3

22 ≤ 21 ✘

C) a) 29 ≤ 8*4-3

29≤29 ✔

   b) -58 ≤ 8*(-6)-3

-58 ≤ -49 ✔

   c) 19 ≤ 7*8-3

19 ≤ 53  ✔

It becomes clear that the answer is C. But just to make sure, we must check D to make sure C is really the answer.

D) -18 ≤ 8(-2)-3

-18 ≤ -19 ✘

That means that C is the answer.

Final answer:

After evaluating each set of points for the inequality y ≤ 8x – 3, it is found that set C satisfies the inequality for all its points, making it the correct set of points containing the solutions to the inequality.

Explanation:

The student's question is related to solving a linear inequality, specifically finding which set of points satisfies the inequality y ≤ 8x – 3.

To find the correct set of points that contain the solutions to this inequality, we must check each pair of (x, y) coordinates provided in the options. A coordinate pair is a solution to the inequality if substituting the x and y value into the inequality makes it a true statement.

B. {(3,22), (2,3), (8,27)}

C. {(4,29), (–6,–58), (7,19)}

D. {(–2,–18), (4,37), (5,15)}

After checking each set, we can conclude that set C contains all the solutions to the inequality y ≤ 8x – 3.

Dividing the weight of the radioactive isotope from 4 halves that is 16, the left weight of the radioactive isotope after 4 half-lives is

⇒ 10.3 grams

Given that,

The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass.

Here, Starting weight of the radioactive isotope is, 165 grams

Hence, the left weight of the radioactive isotope after 4 half-lives is,

⇒[tex]\frac{165}{(2\times2\times2\times2) }[/tex]

⇒ [tex]\frac{165}{(16) }[/tex]

⇒ 10.3 grams

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Answer:

B. Only the monthly rental cost of apartments in Lowell is changing exponentially.

Step-by-step explanation:

To identify how the values ​​of the monthly costs of the departments are changing, we must do a test.

The test consists of taking an element [tex]n_{-1}[/tex] and the element n of the series, and dividing [tex]\frac{n}{n_{-1}} = a[/tex]

Then take the element [tex]n_{+1}[/tex] and the element n and divide [tex]\frac{n_{+1}}{n} = b[/tex]

If b = a, then the exponential function of base "b"

But if b> a, then the rate of change of the function is not exponential

For example. For the cost of apartments in Beverly

[tex]n_{-1} = 1870\\n = 1890\\n_{+1} = 1950\\\\\frac{n}{n_{-1}} = \frac{1890}{1870} = 1.011\\\\\frac{n_{+1}}{n} = \frac{1950}{1890} = 1.032\\\\1,032> 1,011[/tex]

So, the cost of apartments in Beverly does not increase at an exponential rate.

We do the same for the cost of the apartments in Lowell.

[tex]n_{-1} = 1600\\n = 1680\\n_{+1} = 1764\\\\\frac{n}{n_{-1}} = \frac{1680}{1600} = 1.05\\\\\frac{n_{+1}}{n} = \frac{1764}{1680} = 1.05\\\\1.05 = 1.05[/tex]

The rate is the same, so the prices increase exponentially.

Finally, the correct answer is option B: B. Only the monthly rental cost of apartments in Lowell is changing exponentially.

Answer:

B. Only the monthly rental cost of apartments in Lowell is changing exponentially.

Step-by-step explanation:

Answer:

156.86

Step-by-step explanation:

We start by dividing 136.40 by 100 so we can figure how much 1 percent,(1.364) once we have that we multiply by 15 (20.46), we add that to the total

Answer:

Total bill including the tip = $156.86  .

Step-by-step explanation:

Given:Bill at a restaurant came to $136.40 the patrons decide to leave a 15% tip .

To find:  What is the total bill including the tip.

Solution: we have given that

A restaurant bill came = $136.40 .

Tip percentage = 15% of bill

Tip cost = 15% of $136.40 .

Tip cost = $20.46 .

So, total bill including the tip = $136.40 + tip cost

                                                 = $136.40 + $20.46

                                                  = $156.86 .

Therefore , Total bill including the tip = $156.86  .

Answer:

1. No

2. The image of ZE is LA, the preimage of point M is point W

Step-by-step explanation:

This transformation maps quadrilateral ZOWE onto quadrilateral LFMA.

1. An isometry is a tansformation that preserves lengths. This transformation is not isometry, because lengths of quadrilatrel LFVA sides are greater than lengths of quadrilateral ZOWE sides.

2. This transformation is a dilation by a factor greater than 1 about some center of dilation. The image of ZE is LA (the image of ZO is LF, of OW - FM, EW - AM). Thus, the preimage of point M is point W.

Answer:

1. NO

2. The image of ZE is LA, the preimage of point M is point W

Step-by-step explanation:

Answer: C. 45

Step-by-step explanation:

1. You know that there are 6 tulips for every 9 daisies. Then, if there are 30 tulips, you can write the following expresion, where [tex]x[/tex] is the number of daisies when there are 30 tulips:

[tex]\frac{6}{9}=\frac{30}{x}[/tex]

2. Then, you must solve for x as following:

[tex]6x=30*9\\6x=270\\x=\frac{270}{6}\\x=45[/tex]

3. Therefore, the answer is 45 daisies.

By creating and solving a ratio based on the given relationship of 6 tulips to 9 daisies, it is determined that if there are 30 tulips, there must be 45 daisies in the flower garden. Thus, the correct choice to the student's question is option C) 45 daisies.

To solve this problem, we can set up a ratio based on the information given: there are 6 tulips for every 9 daisies. The ratio of tulips to daisies is therefore 6:9. If there are 30 tulips, this ratio must be multiplied by a certain factor to reach 30. To find this factor, we divide 30 (the actual number of tulips) by 6 (the number of tulips in the ratio), giving us a factor of 5. We then multiply the daisy part of the ratio (9) by 5 to find the actual number of daisies.

6 tulips : 9 daisies = 30 tulips : x daisies
30 / 6 = 5
9 daisies * 5 = 45 daisies

Therefore, if there are 30 tulips in the garden, there are 45 daisies, which corresponds to choice C.

Answer: Approximately 3.42857142857142 inches

Round this value however you need to. For instance, if you need to round to 2 decimal places, then the answer would be 3.43 inches.

====================================================

How I got this answer:

A square has side lengths that are the same value and it has four right angles. For example, a square could have all four sides equal to 7 inches. We want this square to fit snugly inside a right triangle. Put another way, we want this square as big as possible without it overflowing outside the triangle.

If one vertex of the square is at (0,0) then the opposite vertex will be on the line y = x meaning this opposite vertex's location is (x,x). The x refers to the side length of the square. Replace x with any number. Going back to the previous example, if x = 7 then the square has two opposite vertices at (0,0) and (x,x) = (7,7), so this square has side length of 7. We will use the equation y = x later on (see figure 2 in the attached images below). I marked (0,0) as point A and (x,x) as point D in figure 3.

We will also use the equation of the line that goes through the two points B(0,6) and C(8,0) as shown in figure 3. The line that goes through points B and C is the line that forms the hypotenuse of the right triangle. If we can find the equation of this line, then we can use algebra to find the intersection point D (see figure 3)

It turns out that the equation of the line through B and C is y = (-3/4)x + 6. Check out figure 1 in the attached images below to see how I got that.

Then head over to figure 2 to see how I'm using the two equations to solve for x. The exact solution is the fraction x = 24/7 which approximates to x = 3.42857142857142 and you can round this however you want for the final answer.

The side length of the square inscribed in the right triangle with legs 6 inches and 8 inches is  [tex]\(\frac{24}{7}\)[/tex] inches.

Let's denote the side length of the square as ( s ). Since the square is inscribed in the right triangle with a common right angle, the triangle can be split into two smaller right triangles and a rectangle.

Consider the right triangle with legs of lengths 6 inches and 8 inches. When a square is inscribed in such a triangle, the side of the square, ( s ), will align with one leg and the other leg, forming two smaller right triangles and a rectangle.

We can solve this problem by using the properties of similar triangles. Let’s break down the larger right triangle into the smaller components formed when the square is inscribed.

Step-by-Step Solution:

1. Draw the square inscribed in the right triangle. Denote the point where the side ( s ) of the square touches the leg of length 6 inches as point ( A ), and the point where it touches the leg of length 8 inches as point ( B).

2. Let the triangle's right angle be at point ( C ). Place the square such that one vertex coincides with point ( C). Let the opposite vertex of the square that lies on the hypotenuse be point ( D).

3. The length of the segment along the 6-inch leg outside the square is ( 6 - s ). Similarly, the length of the segment along the 8-inch leg outside the square is ( 8 - s ).

Using Similar Triangles:

The smaller triangles formed by the inscribed square and the segments  [tex]\( 6 - s \) and \( 8 - s \)[/tex] are similar to the original right triangle (by AA similarity).

The ratio of the sides of these similar triangles remains the same:

[tex]\[\frac{s}{6 - s} = \frac{8}{6}\][/tex]

Now solve for  [tex]\( s \):[/tex]

[tex]\[\frac{s}{6 - s} = \frac{4}{3}\][/tex]

Cross-multiplying gives:

[tex]\[3s = 4(6 - s)\]\[3s = 24 - 4s\]\[3s + 4s = 24\]\[7s = 24\]\[s = \frac{24}{7}\][/tex]

So, the side length of the square is:

[tex]\[s = \frac{24}{7} \approx 3.43 \text{ inches}\][/tex]

Thus, the length of the side of the square inscribed in the right triangle with legs 6 inches and 8 inches is  [tex]\( \boxed{\frac{24}{7}} \)[/tex]  or approximately 3.43 inches.

Answer:

55%

Step-by-step explanation:

Create an equation.

p = votes received / total members

Solve

p = 33 / 60

p = .55

Multiply

Multiply the decimal by 100 to convert the decimal into a whole number.

.55 * 100 = 55

Answer

55 percent of the club members voted for Isabel.

Answer:

55% is your answer

Step-by-step explanation:

Isabel received 33 of 60 votes.

Divide 33 with 60: 33/60 = 0.55

Move the decimal point to the right two place value and attach the percent sign to get the percentage.

0.55 = 55%

55% is your answer

~

Answer:

1.  A = 59

2.  A = 43

Step-by-step explanation:

If we have a right triangle  we can use sin, cos and tan.

sin = opp/ hypotenuse

cos= adjacent/ hypotenuse

tan = opposite/ adjacent

For the first problem, we know the opposite and adjacent sides to angle A

tan A = opposite/ adjacent

tan A = 8.8 / 5.2

Take the inverse of each side

tan ^-1 tan A = tan ^-1 (8.8/5.2)

A = 59.42077313

To the nearest degree

A = 59 degrees

For the second problem, we know the  adjacent side and the hypotenuse to angle A

cos A = adjacent/hypotenuse

cos A = 15.3/21

Take the inverse of each side

cos ^-1 cos A = cos ^-1 (15.3/21)

A = 43.23323481

To the nearest degree

A = 43 degrees

Answer:

i believe its A because were learning that right now

Step-by-step explanation:

Answer:

[tex]y=cos(x+\pi )[/tex]

Step-by-step explanation:

We are a given a graph from which we can clearly see that y = -1 when x  = 0.

Next, to find out which of the options is the equation of the given graph, we need to set our calculator to the radian mode and then we will put the value of x to be 0.

1. y = cos(x + pi/2) = cos(0 + pi/2) = 0

2. y = cos(x+2pi) = cos(0+2pi) = 1

3. y = cos(x+pi/3) = cos(0+pi/3) = 1/2 = 0.5

4. y = cos(x+pi) = cos(0+pi) = -1

We get y = -1 when x = 0 in equation number 4, y = cos(x+pi) = cos(0+pi) = -1. so that is the equation of the given graph.

Answer:

8.3

Step-by-step explanation:

it is the opposite because -8.3 is a negative, so the only opposite of this number would be its positive

"n" and "-n" are opposite numbers.

The sum of a opposite numbers is equal 0: n + (-n) = n - n = 0.

Opposite numbers have the same distance to number 0 (look at the picture).

Opposite of -8.3 is -(-8.3) = 8.3

|a| = a for a ≥ 0

|a| = -a for a < 0

|x| = 74 ⇒ x = 74 or x = -74

check:

|-74|=-(-74) = 74

|74| = 74

CORRECT

Answer:

D. 343 Hope this helps! ;)

Step-by-step explanation:

7^3=343

7*7=49

49*7=343

Hi there!

Answer:

D. 343

*The answer must have a positive sign.*

Step-by-step explanation:

It stands for:

Parenthesis

Exponents

Multiply

Divide

Add

Subtract

Left too right

First, you do exponent.

[tex]7^3=7*7*7=343[/tex]

[tex]7*7=49[/tex]

[tex]49*7=343[/tex]

Final answer is 343

I hope this helps you!

Thanks!

-Charlie

Have a nice day! :)

:D

Answer: Hello mate!

The formula is  [tex]F = G\frac{m1*m2}{r^{2} }[/tex]

and we want to solve it for r, which means that we need to isolate r.

The first step is multiply both sides by r squared:

[tex]r^{2}*F = G*m1*m2[/tex]

now we divide both sides by F

[tex]r^{2} =G\frac{m1*m2}{F}[/tex]

now we aply square root in both sides:

[tex]\sqrt{ r^{2} } = r = \sqrt{G\frac{m1*m2}{F} }[/tex]

And now you have r isolated.

Then the right answer is option C.

Answer:

the correct answer is c

Step-by-step explanation:

Answer:

the real answer is A.ONLY(1,4)

Answer:12 players.

Step-by-step explanation:

Since, only 6 girls can be on a team you have to find out how many teams can there be in total

14 - 6 = 8

since we can subtract another six

8 - 6 = 2

we know now there are 2 full teams and now

which we have left we also know 2 people can not make the team

Answer:

XZ ≈ 3.7 cm (to 1 dec. place )

Step-by-step explanation:

arc length = circumference × fraction of circle

                 = 2πr × [tex]\frac{70}{360}[/tex]

                = 2π × 3 × [tex]\frac{70}{360}[/tex] ≈ 3.7 cm

Answer:

 Option 1 and 3 are continuous graph.

Step-by-step explanation:

We have been given the four graphs  we need to tell which one among these given graphs is continuous

Option 1 is continuous since, there is no break in the graph and points are joint that is a straight line.

Option 2 is discrete graph it is not continuous because these are points which are not joint.

Option 3 is continuous since, there is no break in the graph and points are joint that is a straight line.

Option 4 Option 2 is discrete graph it is not continuous because these are points which are not joint.

Answer:

The answer is B and C

Step-by-step explanation:

I KNOW

Answer:

Is there a picture?

Answer:

G(-1, 3)

Step-by-step explanation:

You need to try each point in the given equation to see which one does not work.

The definition of the function is that it has two different expressions. The upper expression is used for values of x that are less than or equal to -1.

For values of x less than or equal to -1, the expression is f(x) = 2x + 3.

Look at point F. Its x-coordinate is -1.5. Since -1.5 is less than or equal to -1, use the upper expression. Plug in -1.5 for x and find f(-1.5).

f(x) = 2x + 3

f(-1.5) = 2(-1.5) + 3 = -3 + 3 = 0

That gives point (-1.5, 0), so point F is on the graph of f(x).

Now let's look at point G(-1, 3). For point G, x is -1. Since -1 is also less than or equal to -1, you still use the upper expression for x = -1.

f(x) = 2x + 3

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

The point that contains x-coordinate -1 is point (-1, 1). Point G is (-1, 3), so point G is not on the graph of function f.

You already know the answer is point G, but let's continue to show how the other two points are part of the graph of the function.

Point H is (0, 4). For this point, the x-coordinate is 0. The lower expression is used for x greater than -1, and 0 is greater than -1, so you must use the second expression. Now we evaluate the function at x = 0 using the second expression.

f(x) = 4 + x

f(0) = 4 + 0 = 4

giving us point (0, 4).

Point H is (0, 4), so point H is on the graph of the function.

Now we do point J(4, 8). Like for point H, the x-coordinate of point H is greater than -1, so you use the second expression.

f(x) = 4 + x

f(4) = 4 + 4 = 8

giving point (4, 8).

Point J is (4, 8), so it is on the graph.

The only point not on the graph is point G.

Answer: G(-1, 3)

[tex]f(x)=25-x^2,\ g(x)=x+5\\\\\dfrac{f(x)}{g(x)}\cdot x=\dfrac{25-x^2}{x+5}\cdot x=\dfrac{x(25-x^2)}{x+5}\\\\\text{Domain:}\ x\neq-5\\\\25-x^2=5^2-x^2=(5-x)(5+x)\\\\\dfrac{f(x)}{g(x)}\cdot x=\dfrac{x(5-x)(5+x)}{x+5}=x(5-x)=5x-x^2\to\text{simplified form}[/tex]

A.) 4^2

B.) 5^4

C.) 3^1 x 7^4

D.) 2^2 x 9^4

Hope this helps you!!!!!!

Hi there! :)

Answer:

4/7 times 35, minus 8.5 is no more than 11.5

The number is : 35

Step-by-step explanation:

Let's replace "a number" by the letter "x" because that's what we are looking for.

4/7 × x = 4/7x

4/7x MINUS 8.5 = 4/7x - 8.5

The expression "no more than" is represented by this sign: ≤

"No more than" can also be "less than or equal to".

The final inequality should look like this:

4/7x - 8.5 ≤ 11.5

Now all you need to do is solve the inequality by isolating "x":

4/7x - 8.5 ≤ 11.5

Add 8.5 to each side of the inequality → 11.5 + 8.5 = 20

4/7x ≤ 20

Divide each side of the inequality by "4/7" → 20 ÷ 4/7 = 35

x ≤ 35

There you go! I really hope this helped if there's anything just let me know! :)

Answer:

3z(3w - 2)(3w + 2)(9w² + 4)

Step-by-step explanation:

take out a common factor 3z from both terms

= 3z(81[tex]w^{4}[/tex] - 16)

81[tex]w^{4}[/tex] - 16 ← is a difference of squares

• a² - b² = (a - b)(a + b)

81[tex]w^{4}[/tex] = (9w²)² → a = 9w² and 16 = 4² → b = 4

= 3z(9w² - 4)(9w² + 4)

9w² - 4 ← is also a difference of squares with a = 3w and b = 2

= 3z(3w - 2)(3w + 2)(9[tex]w^{4}[/tex] + 4)

Answer:

8/10 are none of these. 8/10 is 80% unless your talking how much percent more to get to 10/10

The correct answer is option (b).20% is equivalent to the fraction [tex]$\frac{8}{40}$[/tex]

To find the percent equivalent to the fraction [tex]$\frac{8}{40}$[/tex], we first simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 4 in this case.

[tex]$$\frac{8}{40} = \frac{8 \div 4}{40 \div 4} = \frac{2}{10}$$[/tex]

Now, we convert the simplified fraction to a percentage by multiplying it by 100.

[tex]$$\frac{2}{10} \times 100 = 20\%$$[/tex]

Therefore, 20% is equivalent to the fraction [tex]$\frac{8}{40}$[/tex].

The complete question is:

What percent is equivalent to [tex]$\frac{8}{40}$[/tex]. ?

(a)8%

(b)20%

(c)25%

(d)40%

Problem 7 is choice B, which is the entire number line shaded in but the value -4 has a hole at this location to mean "exclude this point from the solution set". So basically x can be any number but -4.

Problem 8 is choice C. You have a closed circle (or filled in hole) at -1.5 on the number line. Then you shade to the left of the closed circle to indicate the set of values that are smaller than this endpoint. So n can be -1.5 or it can be smaller than -1.5 (something like -2 or -3, etc).

Answer:

Upper left corner

Step-by-step explanation:

Divide the distance D over the time T. If you travel D = 325 miles for T = 5 hours, then your speed or rate R is

R = D/T = 325/5 = 65

So you're traveling at 65 miles an hour if you travel 325 miles in 5 hours, which is what the upper left corner diagram is showing.