Which equation represents the slope-intercept form of the line below?

What is Angle?

An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

From the figure, we can tell that a transversal is passing through the two parallel lines which makes corresponding angles.

In the given figure 14x+7 and 10x+5 are the two angles formed by the transversal.

14x+7=10x+5

Now take all the variable terms to one side

14x-10x=5-7

4x=-2

Divide both sides by 4

x=-2/4

Divide numerator and denominator by 4

x=-1/2

Hence the value of x is -1/2

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We can clearly see that the area must be more than \($\frac{8 \pi}{3}$\), and the only such answer is \(3 \pi\).

Part of what Spot can reach is \($\frac{240}{360}=\frac{2}{3}$\) of a circle with radius 2, which gives him \($\frac{8 \pi}{3}$\). He can also reach two\($\frac{60}{360}$\)parts of a unit circle, which combines to give \($\frac{\pi}{3}$\). The total area is then \($3 \pi$\).

A circle is a two-dimensional closed shape in which the set of all points in the plane is equidistant from a particular point known as the "centre."

A Sphere is a three-dimensional object, whereas a Circle is a two-dimensional figure. All points in a circle are the same distance from its center along a plane, whereas all points in a sphere are equidistant from the center along any of the axes.

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Answer:

(- 1, - 8 )

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 180°

a point (x, y ) → (- x, - y ) , thus

(1, 8 ) → (- 1, - 8 )

The angle-side connection theorem states that angle E in triangle DEF is equal to angle F.

Since a triangle has three sides and three vertices, it is a polygon. It is a fundamental geometric shape. Triangle ABC is the moniker given to a triangle that has vertices A, B, and C. When the three points are not collinear, a singular plane and triangle are found in Euclidean geometry. A triangle is a polygon if it has three sides and three corners. The points where the three sides meet are known as the triangle's corners.

given

The length of every triangle side is proportional to the size of the angles that are directly across from them, according to the angle-side relationship theorem.

Thus,

Angle F = (61 + 58)/180 (sum of triangle)

F = 61 degree angle

Since mE = 61 degrees, F and E are therefore congruent to one another.

It follows that the sides that are perpendicular to each angle will also be parallel to one another.

The angle-side connection theorem states that angle E in triangle DEF is equal to angle F, which also implies that the sides that are opposite one other are congruent.

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Answer:

320 g flour

8 g salt

12 g yeast

20 ml oil

Step-by-step explanation:

To get from 600 to 400, divide by 1.5

To find the amounts of the other ingredients she will use, divide by 1.5

480/1.5 = 320 g flour

12/1.5 = 8 g salt

18/1.5 = 12 g yeast

30/1.5 = 20 ml oil

Answer:

£150

Step-by-step explanation:

£200 is 100%. If you decrease it by 25%, you end up with 75% of £200.

75% of £200 =

= 0.75 × £200

= £150

Answer:

£150

Step-by-step explanation:

25% means 25 per hundred, and decreasing 200 by 25% means that we should subtract 25% of 200, from 200:

25% · 200

= \(\frac{25}{100}\) · 200

= \(\frac{1}{4}\) · 200

= 50

⇒ 200 - 25% · 200

= 200 - 50

= 150

Alternatively, decreasing by 25% is the same as keeping 75%

(as 100% - 25% = 75%)

75% · 200

= \(\frac{3}{4}\) · 200

= 150

Answer:

Intercepts in terms of graphing are considered to be points at which a function crosses an axis.  In the standard x and y graph (the Cartesian coordinate grid), one would find the intercepts by simply plugging in the value of 0 for either the x or the y to find either the y or x intercept respectively.  For example, to find the y-intercept, you want to find (0,y) and to find the x-intercept, you want to find (x,0).

Cheers.

To determine the probabilities, we need to consider the number of favorable outcomes for each situation divided by the total number of possible outcomes.

1.Probability: 228/700 = 0.3257 ≈ 32.57% ≈ 32.6% (rounded to one decimal place)

2. Probability: 200/3500 = 0.0571 ≈ 5.71% ≈ 5.7%

3. Probability: 504/2100 = 0.24 ≈ 24% (exact fraction)

4.Probability: 180/1400 = 0.1286 ≈ 12.86% ≈ 12.9% (rounded to one decimal place)

1. Salmon chooses a composite number, a cool color (G, B, I, or V), and an A:

a) Composite numbers between 1 and 100: There are 57 composite numbers in this range.

b) Cool colors (G, B, I, or V): There are 4 cool colors.

c) The letter A: There is 1 A in "INDIANA."

Total favorable outcomes: 57 (composite numbers) * 4 (cool colors) * 1 (A) = 228

Total possible outcomes: 100 (possible numbers) * 7 (possible colors) * 1 (possible letter) = 700

Probability: 228/700 = 0.3257 ≈ 32.57% ≈ 32.6% (rounded to one decimal place)

2. Federico chooses a prime number, a color starting with a vowel (E or I), and a consonant:

a) Prime numbers between 1 and 100: There are 25 prime numbers in this range.

b) Colors starting with a vowel (E or I): There are 2 colors starting with a vowel.

c) Consonants in "INDIANA": There are 4 consonants.

Total favorable outcomes: 25 (prime numbers) * 2 (vowel colors) * 4 (consonants) = 200

Total possible outcomes: 100 (possible numbers) * 7 (possible colors) * 5 (possible letters) = 3500

Probability: 200/3500 = 0.0571 ≈ 5.71% ≈ 5.7% (rounded to one decimal place)

3. Either chooses a number divisible by 7 or 8, any color, and a vowel:

a) Numbers divisible by 7 or 8: There are 24 numbers divisible by 7 or 8 in the range of 1 to 100.

b) Any color: There are 7 possible colors.

c) Vowels in "INDIANA": There are 3 vowels.

Total favorable outcomes: 24 (divisible numbers) * 7 (possible colors) * 3 (vowels) = 504

Total possible outcomes: 100 (possible numbers) * 7 (possible colors) * 3 (possible letters) = 2100

Probability: 504/2100 = 0.24 ≈ 24% (exact fraction)

4. Either chooses a number divisible by 5 or 4, blue or green, and L or N:

a) Numbers divisible by 5 or 4: There are 45 numbers divisible by 5 or 4 in the range of 1 to 100.

b) Blue or green colors: There are 2 possible colors (blue or green).

c) L or N in "INDIANA": There are 2 letters (L or N).

Total favorable outcomes: 45 (divisible numbers) * 2 (possible colors) * 2 (letters) = 180

Total possible outcomes: 100 (possible numbers) * 7 (possible colors) * 2 (possible letters) = 1400

Probability: 180/1400 = 0.1286 ≈ 12.86% ≈ 12.9% (rounded to one decimal place)

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Answer: B

Step-by-step explanation:

1. 5 to the 3rd power is 125 because it is the same as 5x5x5, which also equals 125.

2. The answer is B because A and C are the same thing.

B. 3 to the 5th power

3^5 = 243 which is not equivalent to 125

5^3 = 125 which is equivalent to 125.

5×5×5 = 125 which is equivalent to 125.

Answer:

3⁷

Step-by-step explanation:

it's kinda messy but my step by step is in the picture. practically when you "multiply" an exponent (as long as they have the same base number) with another like 3⁴×3⁵ or (3⁴)⁵ you add the exponents together so you'd get 3⁴×3⁵=3⁹

when dividing an exponent by another exponent (with again, the same base number) you subtract the exponents like this: 3⁶÷3² or 3⁶/3² would equal 3⁴

Step-by-step explanation:

\(60\% = \frac{60}{100} = \frac{3}{5} \)

and 3/5 is 0,6

Hope I helped :)

Answer:

0.6

Step-by-step explanation:

all you have to do is divide 60 by 100, so 60÷100=0.6

you can do this with any percentage

Answer: Top right graph.

Step-by-step explanation:

The function ⌊x⌋ rounds the value x to the lower whole number.

for example:

⌊1.5⌋ = 1

⌊1.923⌋ = 1

⌊2.0⌋ = 2

then, the graph of ⌊x⌋ will be a black dot in the each whole number, and a horizontal segment to the right that ends with a white dot in the next whole number. Right above the white dot, we have another black dot, and it repeats.

if we have ⌊x⌋ + 2, we move te previous graph 2 units upwards, then the correct option is the top right graph.

You can check some points if you like:

f(0) = ⌊0⌋ + 2 = 2

f(0.5) = ⌊0.5⌋ + 2 = 2

f(1) = ⌊1⌋ + 2 = 3

So in x = 0 we have a black dot in y = 2, and in x = 1 we have a white dot in y = 2 and a black dot in y = 3.

Answer:

c

Step-by-step explanation:

because Ax+Bx=Cx^2

\(y = mx + b\)

where m = slope and b = y-intercept.

We have both given slope and y-intercept. We can simply substitute the given slope and y-intercept in slope-intercept form.

Substitute m = -1 and b = - 5 in the equation.

\(y = - 1x - 5 \\ y = - x - 5\)

We don't usually write 1x or -1x instead we write -x or x.

\(y = - x - 5\)

Answer:

the width is 17.5 feet and the length is 82.5 feet.

Step-by-step explanation:

The house has a rectangular shape and we know that the length is 5 feet less than 5 times the width.

We will call the width x, thus, the length would be represented as 5x-5 (5 less than 5 times the width).

Since Darrin is going to hang garland around the perimeter of the house, we know that the perimeter is 2 times the length plus two times the width and this equals 200.

Let's write this in algebraic form

\(width = x\\length= 5x-5\\Perimeter= 2width +2length=200\\200=2(x)+2(5x-5)\\200=2x+10x-10\\200=12x-10\\200+10=12x\\210=12x\\210/12=x\\x=17.5\)

Therefore, the width is 17.5 feet.

Now, the length is 5x-5, thus substituting the 17.5 in this equation we have:

\(5x-5=5(17.5)-5=87.5-5=82.5\) feet

Therefore, the width is 17.5 feet and the length is 82.5 feet.

Answer:

4

Step-by-step explanation:

order of operations PEMDAS

parentheses first

\((5 + 9) \times 5 \div 7 - 6\)

\(14 \times 5 \div 7 - 6\)

multiply

\(70 \div 7 - 6\)

divide

\(10 - 6\)

subtract

\(4\)

Answer:

Your answer to this equation is 4.

Step-by-step explanation:

( 5 + 9 ) × 5 ÷ 7 - 6 =

( 14 ) × 5 ÷ 7 - 6 =

70 ÷ 7 - 6 =

10 - 6 =

4

Answer: Ionic bonds form when an electron of one atom is transferred to another atom. The two atoms become oppositely charged ions and attract each other.

Step-by-step explanation:

Answer:

that would be 24%

Step-by-step explanation:

Now we can see that our fraction is 24/100, which means that 12/50 as a percentage is 24%.

Answer:

24%

Step-by-step explanation:

the fraction form is 24/100, meaning the percentage is 24% put of 100%

Answer:

7) \( \dfrac{25c^2}{d^4} \)

8) \( 4w^6r \)

Step-by-step explanation:

You must use the laws of exponents.

7)

\( (\dfrac{5c}{d^2})^2 = \)

When you raise a fraction to an exponent, raise the numerator and the denominator to that exponent.

\( = \dfrac{(5c)^2}{(d^2)^2} \)

When you raise a product to an exponent, raise each factor to that exponent.

When you raise an exponent to an exponent, multiply the exponents.

\( = \dfrac{5^2c^2}{d^4} \)

\( = \dfrac{25c^2}{d^4} \)

8)

\( \dfrac{-16w^7r^2}{-4wr} = \)

To divide powers with the same base, subtract the exponents. Remember that a plain variable, such as w is the same as w^1.

\( =\dfrac{-16}{-4}w^{7-1}r^{2-1} \)

\( = 4w^6r \)

Answer:

Angle E is 30⁰

Explanation:

If triangle ABC= triangle DFE then they are both the same it's just that in this case the triangles are mirrored meaning that Angle C= Angle E

Making Angle E: 30⁰

The equation of the linear function is:

z = 10 + 4x + 6y

To find the equation of the linear function, we need to determine the values of c, m, and n in the function z = c + mx + ny.

Since the graph of the function intersects the xz-plane at z = 4x + 10 and the yz-plane at z = 6y + 10, we can use these equations to find the values of c, m, and n.

When the graph intersects the xz-plane (y = 0), we have:

z = c + mx + n(0) = c + mx

Comparing this with z = 4x + 10, we can equate the coefficients:

c = 10 (the constant term)

m = 4 (the coefficient of x)

When the graph intersects the yz-plane (x = 0), we have:

z = c + m(0) + ny = c + ny

Comparing this with z = 6y + 10, we can equate the coefficients:

c = 10 (the constant term)

n = 6 (the coefficient of y)

Therefore, the equation of the linear function is:

z = 10 + 4x + 6y

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The proceeds received by Oliver when settling the 90-day interest-bearing note in 60 days at a discounted rate of 6% p.a.  to $247,500  by the formula. discounted rate of 6% p.a. amount to $247,500.

Proceeds = Face Value * (1 - Discount Rate * Time/360)

In this case, the face value of the note is $250,000, the discount rate is 6% p.a., and the time is 60 days. Plugging these values into the formula, we can calculate Oliver's proceeds.

Proceeds = $250,000 * (1 - 0.06 * 60/360)

Simplifying the expression, we have:

Proceeds = $250,000 * (1 - 0.01)

Proceeds = $250,000 * 0.99

Proceeds = $247,500

Therefore, Oliver's proceeds when settling the note in 60 days at a discounted rate of 6% p.a. amount to $247,500.

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Answer:

B. 1/25

Step-by-step explanation:

This question asks us to find (-2), or f(x) when x is equal to -2.

We know that f(x)=5^x. We also know that we are trying to find f(-2). Therefore, we must substitute -2 in for x.

f(x)=5^x

x= -2

f(-2)= 5^-2

Negative exponents follow the rule:

x^-b= 1/x^b

Rewrite the exponent according to this rule.

5^-2=1/5^2

f(-2)= 1/5^2

Evaluate the exponent in the denominator.

5^2=5*5=25

f(-2)=1/25

f(-2) is equal to 1/25, therefore B is the correct answer.

Answer:

Ok,you just need to replace the x for -2

F(x)=5^x

\(f(-2)=5^{-2}\)

\(f(-2)=\frac{1}{25}\)

So, the correct answer is B

I hope this help you :)

We need to consider the pyramid's altitude and slant height. Given an altitude of 12 inches and a slant height of 18 inches, we can calculate the lateral area and surface area of the square pyramid.

Using the formula for the area of an isosceles triangle, which is (1/2) × base × height, we can calculate the area of one triangular face. Substituting the given slant height of 18 inches as the height and the side length of the square base, we can determine the area of one triangular face. Since there are four triangular faces, we multiply this area by 4 to obtain the lateral area.

Next, to find the surface area, we need to add the area of the square base. The area of a square is given by the formula side length × side length.

In summary, the lateral area of the square pyramid can be found by calculating the area of one triangular face and multiplying it by 4, considering the given slant height. The surface area is obtained by adding the lateral area to the area of the square base. By applying the appropriate formulas and substituting the given values, we can determine the lateral area and surface area of the square pyramid.

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Leading coefficient means the number that goes multiplicating the bigger exponent ,in this case is -9 because -9 multiplies x^3

Leading coefficient is the bigger exponent in a polynomial. In this case is 3 ,because -9x^3 is the biggest number in exponent.

So finally is a third degree equation.

Answer: y= 1.2x

Step-by-step explanation: input the x and y to each of the equations the one above is. The closes to true. So it is the line of best fit.

Answer:

104.80 cm²

Step-by-step explanation:

Formula to know:   Volume = e³ ; SA = 6e²

V = e³                       Substitute what you know  V = e³ and solve

73 = e³    

\(\sqrt[3]{73}\) = e                   one edge of the cube  

Find the SA    

SA = 6e²                  Substitute the value for e      

SA = 6(\(\sqrt[3]{73}\))²

SA = 6(\(\sqrt[3]{73} \sqrt[3]{73}\) )

Sa =  104.80

The true statement among the given options is: "There could be 12 red pens and 21 black pens." This option satisfies the given ratio of 4 to 7, providing the correct proportions of red and black pens. Option 1

To determine which statement is true, let's analyze each option given:

Option 1: There could be 12 red pens and 21 black pens.

Since the ratio of red to black pens is given as 4 to 7, we can check if this option satisfies the ratio.

If we have 12 red pens and 21 black pens, the ratio would be 12/21, which simplifies to 4/7. Therefore, this option is true.

Option 2: There are exactly 11 pens in the drawer.

This option does not provide any information about the ratio of red to black pens. Without knowing the quantities of each color, we cannot determine if this statement is true or false based on the given information. Hence, we cannot conclude the truth of this statement.

Option 3: There could be 20 red pens and 28 black pens.

Again, let's check if this option satisfies the given ratio.

If we have 20 red pens and 28 black pens, the ratio would be 20/28, which simplifies to 5/7. This does not match the given ratio of 4 to 7, so this option is false.

Option 4: For every 4 red pens, there are 11 black pens.

This option does not align with the given ratio of 4 to 7. According to the ratio, for every 4 red pens, there should be 7 black pens. Therefore, this option is false.

In conclusion, the true statement among the given options is: "There could be 12 red pens and 21 black pens." This option satisfies the given ratio of 4 to 7, providing the correct proportions of red and black pens. So Option 1 is correct.

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Note the complete question is

The ratio of red to black pens in a drawer is 4 to 7. Which statement is true?

1.)There could be 12 red pens and 21 black pens.

2.)There are exactly 11 pens in the drawer.

3.)There could be 20 red pens and 28 black pens.

4.)For every 4 red pens, there are 11 black pens.

The correct size of the distance matrix for a multivariate data set with 25 subjects and 7 variables is 25 x 25.

Understanding the many objectives and histories of the various types of multivariate analysis, as well as how they connect to one another, is the focus of multivariate statistics.

The distance matrix contains the pairwise distances between all pairs of subjects in the dataset, and therefore has the same number of rows and columns as the number of subjects in the dataset. Since there are 25 subjects in this dataset, the distance matrix will have 25 rows and 25 columns.

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9514 1404 393

Answer:

  0

Step-by-step explanation:

The expression ...

  \(f^{-1}(1)\)

can be read as "the value of x that makes f(x) = 1".

We can read that value from the graph. It is the y-intercept of the function f(x):

  (0, 1)

The value of x that makes f(x) = 1 is 0. That is, f(0) = 1.

  \(\boxed{f^{-1}(1)=0}\)