What are the slope and the y-intercept of the linear function that is represented by the graph?

O The slope is 3, and the y-intercept is 9.
O The slope is 3, and the y-intercept is 12.
O The slope is 4, and the y-intercept is 9.
O The slope is 4, and the y-intercept is 12

a. 36, 000 stadia = 5,664 km. b. 129 yojanas = 1,987 km. Stadia was an ancient unit of length, equal to about 185 meters. It was used in Greece, Rome, and other parts of the Mediterranean world.

Yojana was an ancient unit of length, equal to about 13 kilometers. It was used in India and other parts of Asia.

a. 36, 000 stadia = 5,664 km

1 stadia = 0.1575 km

36,000 stadia x 0.1575 km/stadia = 5,664 km

b. 129 yojanas = 1,987 km

1 yojana = 13.2 km

129 yojanas x 13.2 km/yojana = 1,987 km

To convert from stadia to kilometers, we can use the following conversion factor:

1 stadia = 0.1575 km

To convert from yojanas to kilometers, we can use the following conversion factor:

1 yojana = 13.2 km

In addition to the above, here are some additional information about stadia and yojanas:

Both stadia and yojanas are no longer in use as official units of measurement, but they are still sometimes used in historical and archaeological contexts.

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Answer:21

Step-by-step explanation:

.07 x 300

Answer: 21

Step-by-step explanation: For these questions try to find shortcuts instead of solving the traditional way. We know that 300 is three times greater than 100. We know that 7% of 100 is seven. To find 7% of 300 we just multiply that seven by 3 and get 21.

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The percentile score of 71 on test score is 27 and the score of victor is 71.

Statistics is the science concerned with developing and studying methods for collecting, analyzing, interpreting and presenting empirical data.

Given, the teacher recorded unit 4 test scores from class.

The scores are: 5,4,66,70,71,75,77,80,84,85,87,90,93,95 and 96.

A percentile is a value on a scale of one hundred that indicates the percent of a distribution that is equal to or below it.

The percentile rank of a score of 71 on the test is find by formula

\(R_{100} =\frac{100(N < )+\frac{1}{2} }{N}\)

=100×4+1/2(1)/15

=400+0.5/15

=400.5/15

=26.7=27th

Now we need to find the score of victor who has 60th percentile.

60=Score/15

score=71

Hence, the percentile score of 71 on this test score is 27 and the score of victor is 71.

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Answer:

-3

Step-by-step explanation:

Answer: f(x) = -1/2(x+3)

Example: g(x) = -1/2(-x-3)

This function is a dilation and a reflection of the parent function f(x) because when graphed, the two functions have the same shape but are reflected over the y-axis and are half the size of the original.

Answer:

Where's the graph?

Step-by-step explanation:

Answer:

need a picture.

Step-by-step explanation:

On solving the provided question, we can say that by permutation 26 possible letters  x  10 possible digits  = 260 possible plates

The permutation of a set in mathematics is essentially the rearranging of its elements if the set is already ordered, or the arrangement of its members in a linear or sequential order. The act of altering the linear order of an ordered set is referred to as a "permutation" in this context. The mathematical calculation of the number of possible arrangements for a given set is known as permutation. Permutation, in its simplest form, refers to the variety of possible arrangements or orders. The placement of the elements matters with permutations. The placement of items in a specific order is known as a permutation. Here, the set's components are sorted in either chronological order or linear order. like in the case of

26 possible letters  x  10 possible digits  =

26 x 10   =

260 possible plates

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Jake had $1200 of money initially, and he gave $200 to his mother.

What is Algebraic expression ?

In mathematics, an algebraic expression is a combination of variables, constants, and mathematical operations, such as addition, subtraction, multiplication, and division, that represents a quantity or a relationship between quantities.

Let's assume that Jake had M dollars of money initially.

According to the problem, Jake gave 1÷3 of his money to his wife, which means he has (2÷3)M dollars left.

Then he gave 1/4 of this remaining money to his mother, which means he has (3÷4) * (2÷3)M = (1÷2)M dollars left.

Since we are given that Jake had $600 left after giving the money to his wife and mother, we can set up the following equation:

(1÷2)M = 600

Solving for M, we get:

M = 2 * 600 = 1200

Therefore, Jake had $1200 of money initially, and he gave (1÷4) * (2÷3)M = (1÷4) * (2÷3) * 1200 = $200 to his mother.

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The answer you are looking for is D. -5.

-5 is the answer because it's absolute value if positive 5, which has a higher value than the numbers in the answer choices.

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\(\huge{ \mathfrak{  \underline{ Answer }\:  \:  ✓ }}\)

The correct option is D.)

The number having the greatest absolute value is 5

Absolute values of given numbers :

and 5 is greatest here .

_____________________________

\(\mathrm{ \#TeeNForeveR}\)

Answer:

A. The amount of money you have at the end of the statement period

Step-by-step explanation:

A "closing balance" is the The amount of money you have at the end of the statement period

All the batter would fit into the pan as it has more volume than half a gallon.

A cuboid is a three-dimensional closed figure which has volume along with surface area.

The volume of a cuboid is the product of its length, width, and height.

The total surface area of a cuboid is 2(lw + wh + wl) and the lateral surface area is 2(l + w)×h.

We know, One gallon is equal to 231 cubic inches.

Therefore, Half a gallon is equal to 231/2 cubic inches.

The volume of the pan is (9×4×4) cubic inches.

= 144 cubic inches.

Now, 144 > 231/2, so it would fit.

Q. Anita is baking pumpkin bread and has a half gallon of batter. She plans to pour the batter into a glass pan with a length of 9 inches, a width of 4 inches, and a depth of four. Determine if all the batter will fit in the pan.

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The value of the given integral depends upon the value of z².

The given integral is ∫₀¹₀ |z² – 4x| dx.

It is not possible to integrate the above given integral in one go, thus we will break it in two parts, and then we will integrate it.

For x ∈ [0, z²/4), |z² – 4x|

= z² – 4x.For x ∈ [z²/4, 10), |z² – 4x|

= 4x – z²

.Now, we will integrate both the parts separately.

∫₀^(z²/4) (z² – 4x) dx = z²x – 2x²

[ from 0 to z²/4 ]

= z⁴/16 – z⁴/8= – z⁴/16∫_(z²/4)^10 (4x – z²)

dx = 2x² – z²x [ from z²/4 to 10 ]

= 80 – 5z⁴/4 (Put z² = 4 for maximum value)

Therefore, the integral of ∫₀¹₀ |z² – 4x| dx is equal to – z⁴/16 + 80 – 5z⁴/4

= 80 – (21/4)z⁴.

The value of the given integral depends upon the value of z².

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Answer:

1 7/18

Step-by-step explanation:

2 7/9= 25/9

25/9 divided by 2 is 25/18

Answer:

1 7/8

Step-by-step explanation:

2 7/9 simplified as 25/9 divided by 2 is 25/18 which is 1 7/8 if you simplify it. I hope my answer helps!

Answer:

(f o g )(x) = {8, 3), (-1, 8), (2, -1)}

Step-by-step explanation:

(f o g)(x) = [f(g(x)]

g(8) = 2 and f(2) = 3  

g(-1) = 4  and f(4) = 8

g(2) = 7 and  f(7) = -1

So, (f o g )(x) = {8, 3), (-1, 8), (2, -1)}

(f ◦ g)(x) does not exist since no input in f(x) produces an output in g(x) that can be fed back into f(x).

A function is defined as the expression that set up the relationship between the dependent variable and the independent variable.

To find (f ◦ g)(x), we need to apply g(x) to each input in f(x), and then apply f(x) to the resulting outputs from g(x).

First, let's apply g(x) to each input in f(x):

g(2) = 3 (from (2,3) in f(x))

g(4) = 8 (from (4,8) in f(x))

g(7) = -1 (from (7,-1) in f(x))

Next, we apply f(x) to the resulting outputs from g(x):

f(3) = undefined (no input in f(x) produces an output of 3)

f(8) = undefined (no input in f(x) produces an output of 8)

f(-1) = undefined (no input in f(x) produces an output of -1)

Therefore, (f ◦ g)(x) does not exist since no input in f(x) produces an output in g(x) that can be fed back into f(x).

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2. Using proportion, the value of x = 38, the length of FC = 36 in.

3. Applying the angle bisection theorem, the value of x = 13. The length of CD = 39 cm.

The Angle Bisector Theorem states that in a triangle, an angle bisector divides the opposite side into segments that are proportional to the lengths of the other two sides of the triangle.

2. The proportion we would set up to find x is:

(x - 2) / 4 = 27 / 3

Solve for x:

3 * (x - 2) = 4 * 27

3x - 6 = 108

3x = 108 + 6

Simplifying:

3x = 114

x = 114 / 3

x = 38

Length of FC = x - 2 = 38 - 2

FC = 36 in.

3. The proportion we would set up to find x based on the angle bisector theorem is:

13 / 3x = 7 / (2x - 5)

Cross multiply:

13 * (2x - 5) = 7 * 3x

26x - 65 = 21x

26x - 21x - 65 = 0

5x - 65 = 0

5x = 65

x = 65 / 5

x = 13

Length of CD = 3x = 3(13)

CD = 39 cm

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Answer:

5

Step-by-step explanation:

i think its 5

Answer:

0

Step-by-step explanation:

if he sold 6 it would be 16 - 6=10 then ate 5 it would be 10-5=5 then gave the rest away it would be 5-5= 0 so 0 is the answer

The value of  (p o g)(-1) is -2 and the value of (q o p)(-1) is 15 which represents the composite of the function.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function p and q:

p(x) = 2x - 2

q(x) = x² - 1

= (p o q)(-1)

Find the value of q(-1):

q(-1) = 0

Plug the above value in the function p(x):

(p o q)(-1) = p(q(-1)) = -2

= (q o p)(-1)

Find the value of p(-1):

p(-1) = -4

(q o p)(-1) = q(p(-1)) = 15

Thus, the value of  (p o g)(-1) is -2 and the value of (q o p)(-1) is 15 which represents the composite of the function.

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Answer:

≈ 13.1 cm²

Step-by-step explanation:

The area (A) of the sector is calculated as

A = area of circle × fraction of circle

   = πr² × \(\frac{60}{360}\)

   = π × 5² × \(\frac{1}{6}\)

   = 25π ÷ 6

   ≈ 13.1 cm² ( to 1 dec. place )

Answer:

area = 13.1 cm²

Step-by-step explanation:

area of sector formulae:

\( \frac{theta}{360} \times \pi {r}^{2} \)

theta = 60°

radius = 5 cm

π = 22/7

substitute the values into the formulae

\( \frac{60}{360} \times \frac{22}{7} \times {5}^{2} \)

\( \frac{1}{6} \times \frac{22}{7} \times 25\)

\( \frac{1}{6} \times \frac{25 \times 22}{7} \)

\( \frac{1}{6} \times \frac{550}{7} \)

\( \frac{550 \times 1}{6 \times 7} \)

\( \frac{550}{42} \)

\(13.1 \: cm {}^{2} \)

The integral of du/sqrt(a^2 - u^2) is arcsin(u/a) + C, where a is a constant and C is the constant of integration.

To evaluate the integral of du/sqrt(a^2 - u^2), we can use a trigonometric substitution. Let's substitute u = asin(theta), where theta is a new variable. Differentiating u with respect to theta gives du = acos(theta)*d(theta).

Now, let's substitute these expressions back into the integral:

∫(du/sqrt(a^2 - u^2)) = ∫((acos(theta)d(theta))/sqrt(a^2 - a^2sin^2(theta)))

Simplifying the expression under the square root:

= ∫((acos(theta)d(theta))/sqrt(a^2(1 - sin^2(theta))))

= ∫((a*cos(theta)d(theta))/(acos(theta)))

= ∫d(theta)

= theta + C

Since we made the substitution u = asin(theta), we need to express the result in terms of u. Using the relationship u = asin(theta), we can find theta = arcsin(u/a). Therefore, the integral becomes:

∫(du/sqrt(a^2 - u^2)) = theta + C = arcsin(u/a) + C

Hence, the integral of du/sqrt(a^2 - u^2) is arcsin(u/a) + C, where a is a constant and C is the constant of integration.

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Since the given function is

Substitute x by 0, 1, 2, 3, 4 to find f(x), then you can find the correct table

The correct table is the 4th answer

Answer:

The magnitude of the net gravitational force acting on Ify is 9.1 newtons.

Ify is getting pulled in a direction of 6.2 radians.

Step-by-step explanation:

The vector g = (9,-1)   describes the net gravitational force acting on Ify.

We can find the magnitude of  g, using the Pythagorean theorem.

Answer:

640

Step-by-step explanation: and wow

A score of x = 60 on an exam with μ = 72 and σ = 12 is comparatively better than a score of x = 70 on an exam with μ = 82 and σ = 8.

To compare the two scores, we can convert them to z-scores, which tell us how many standard deviations a particular value is from the mean. The formula for z-score is:

z = (x - μ) / σ

where x is the value, μ is the mean, and σ is the standard deviation.

For the first score of x = 70 on an exam with μ = 82 and σ = 8, the z-score is:

z = (70 - 82) / 8 = -1.5

For the second score of x = 60 on an exam with μ = 72 and σ = 12, the z-score is:

z = (60 - 72) / 12 = -1.0

The z-score for the first score is lower than the z-score for the second score, which means that the first score is further below its mean than the second score is below its mean. Therefore, we can say that a score of x = 60 on an exam with μ = 72 and σ = 12 is comparatively better than a score of x = 70 on an exam with μ = 82 and σ = 8.

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Answer:

He spends $17.55 on the new fabric.

Step-by-step explanation:

First multiply 3.9 (cost of fabric per yard) by 4 (number of yards) to get 15.6. Then divide 3.9 by 2 (since we need half a yard) to get 1.95. Lastly add 15.6 plus 1.95 to get your answer, $17.55.

Answer:

Kenny spent $17.55 on the fabric.

Step-by-step explanation:

Since it costs $3.90 per yard, we need to multiply 3.90 and 4. The product is 15.60, but we still have half a yard left. Simply divide $3.90 by 2 to get the price of half a yard ($1.95). Now, add them together to get $17.55

A variable is an alphabet or phrase used to represent an unknown quantity, unknown value, or unknown number in mathematics.

The values of one or more independent variables determine the values of a single dependent variable in a mathematical connection known as a function. Function denotes a relationship between two variables where one influences expression the other (s).

Here,

Given :

=> 50 assembly kit  be y

and => 20 profit be x

Thus,

Equation is = > 50y + 20y = 15

In mathematics, a variable is an alphabet or phrase that denotes an unknowable quantity, unknowable value, or unknowable number. In the case of algebraic expressions or algebra, the variables are employed specifically.

A graph is considered to be a function if any vertical line formed can cross it at most one point. The graph is not a function if it contains any locations where a vertical line can pass through it twice or more.

An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable (the dependent variable).

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Answer:

4th option

Step-by-step explanation:

The translation shifts Δ ABC → Δ A'B'C'

Consider the x- coordinates of A and A'

A has x- coordinate 1

A' has x- coordinate - 3

Then 1 to - 3 is a shift of 4 units left

Answer:

4 units lefts

Step-by-step explanation:

First you have to take 2 similar points, we will take A' and A and counts the squares between them. Since the dashed A is the new translation, we know the translation is left, all we do now is count the squares which is 4.

Answer:

Step-by-step explanation:

AND REMEMBER DO ALWAYS READ AND WRITE

Step-by-step explanation:

hope you can understand