what is the slope of the line?

hello

frrom the question given, we have the value of slope and x,y coordinates

slope = 3

x-axis = 3

y-axis = 10

the standard equation of a line is given as

let's input the values and solve the question

NB: c is equals to the intercept

let write out the equation now

from the calculation above, the equation of line is given as y = 3x +1

Answer:

1

Step-by-step explanation:

g(f(11))

It says in the problem that f(11) = -9

So:

g(-9)

It says again in the problem that g(-9) = 1

So the answer is 1

The angle on the unit circle is solved to be

56.01 degrees (to the nearest tenth)

To find the angle of the terminal side through the given point on the unit circle, we can use the inverse trigonometric functions.

given that P = ((√5)/4, (√11)/4)

θ = arctan ((√11)/4 / (√5)/4)

θ = arctan((√11)/(√5))

θ ≈ 56.01 degrees

hence to the nearest tenth of a degree, the angle of the terminal side through the point P = ((√5)/4, (√11)/4) on the unit circle is approximately 56.01 degrees.

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Answer:

2/5

Step-by-step explanation:

40% = 40/100 = 4/10 = 2/5

Answer:

2/5

Step-by-step explanation:

40%/100% =2/5

you just take the 40% and divide with one hundred %

We have got 10 invitations, 4 are i blue paper, so 6 are not in blue paper.

To find the probability, we will calculate how many combinations are there and how many combination in which exactly 2 out of 5 of the invitations are blue.

The total combinations of the 5 are just 10! over 5!:

The combinations of ecatly 2 blue starts with 4*3/2!, becase initially we have 4 to choose from but the second we have one less. Now we multiply by the same for the non blue, so 6*5*4/3!, and we get:

The probability is the combinations of the event we want, B, divided by the total combinations, T:

So, the probability that exactly 2 of the choosen invitations are printed in blue is 0.0040.

we have to do alot for this

so first we gotta change 12.3 into a mixed fraction

n = 5 so 5 ÷ 12.3

With the given compound interest, Bond Price = $899.39 i.e. A.

What is Compound interest?

Compound interest is a type of interest that is calculated on both the principal amount and the accumulated interest from previous periods. In other words, it is interest that is earned on interest also.

Now,

To calculate the price of the bonds, we need to use the following formula:

Bond Price = (Coupon Payment / (1 + YTM/2)ⁿ) + (Coupon Payment / (1 + YTM/2)ⁿ⁺¹) + ... + (Coupon Payment + Par Value / (1 + YTM/2)ⁿ*²)

Where:

Coupon Payment = (Coupon Rate x Par Value) / 2

YTM = Yield to Maturity

n = Number of Semi-Annual Periods Until Maturity

Using the information given in the question, we can calculate the coupon payment as:

Coupon Payment = (4% x $1,000) / 2 = $20

We can also calculate the number of semi-annual periods until maturity as:

n = 13 x 2 = 26

Now,

Bond Price = ($20 / (1 + 3%/2)¹) + ($20 / (1 + 3%/2)²) + ... + ($20 + $1,000 / (1 + 3%/2)²⁶)

Bond Price = $899.39

Therefore, the correct answer is (A) $899.39.

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Answer:

Step-by-step explanation:

Answer:

I think it is mean

Step-by-step explanation:

because mean would be the average of the scores

Answer: The mean

Step-by-step explanation:

The mean will show the average of the teams scores.

Answer:

C

Step-by-step explanation:

D: {-3,0,1,3}

R: {-5,-4,1,5}

The complete table of values of the linear equation is

x | y

0 | 0

1 | 1

2 | 2

3 | 3

The linear equation of the function is given as

y = x

To complete the table, we assume values for x and then calculate the y values

So, we use the following values

x = 0, 1, 2, 3

Next, we substitute x = 0, 1, 2, 3 in the equation y = x

So, we have:

When x = 0

y = 0

When x = 1

y = 1

When x = 2

y = 2

When x = 3

y = 3

So, the complete table of values is

x | y

0 | 0

1 | 1

2 | 2

3 | 3

When represented as ordered pairs, we have

(x, y) = (0, 0), (1, 1), (2, 2) and (3, 3)

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Answer:

D.2.58

Step-by-step explanation:

We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\(\alpha = \frac{1 - 0.99}{2} = 0.005\)

Now, we have to find z in the Ztable as such z has a pvalue of \(1 - \alpha\).

That is z with a pvalue of \(1 - 0.005 = 0.995\), so Z = 2.58.

The answer is given by option D.

Answer:

7x + 3

Step-by-step explanation:

Let's simplify step-by-step.

8x + 7 − x − 4

= 8x + 7 + −x + −4

Combine Like Terms:

= 8x + 7 + −x + −4

= (8x + −x) + (7 + −4)

= 7x + 3

Answer:

= 7x + 3

hope this helps and is right. p.s i really need brainliest :)

if my answer is wrong then I am incredibly sorry!

So the polynomial f(x) of degree 3 is

Check the picture below.

Answer:

B) y - 2 = (-1/4)(x - 2)

Step-by-step explanation:

Start with the equation of the given line: y = 4x + 7.

Determine the slope of the given line, which is 4.

Since the perpendicular line has a negative reciprocal slope, the perpendicular line's slope is -1/4.

Use the point-slope form of a linear equation: y - y₁ = m(x - x₁), where (x₁, y₁) is the given point and m is the slope.

Substitute the values x₁ = 2 and y₁ = 2 into the point-slope equation: y - 2 = (-1/4)(x - 2).

Simplify by distributing -1/4 to (x - 2): y - 2 = (-1/4)x + 1/2.

Add 2 to both sides to isolate y: y = (-1/4)x + 1/2 + 2.

Simplify further: y = (-1/4)x + 5/2.

The equation in point-slope form for the line passing through (2, 2) and perpendicular to y = 4x + 7 is y - 2 = (-1/4)(x - 2), which matches option B.

Step-by-step explanation:

The transformation y = sin(2x) affects the graph of y = sin(x) by compressing it horizontally.

The function y = sin(2x) has a coefficient of 2 in front of the x variable. This means that for every x value in the original function, the transformed function will have half the x value.

To see the effect of this transformation, let's compare the graphs of y = sin(x) and y = sin(2x) by plotting some points:

For y = sin(x):

x = 0, y = 0

x = π/2, y = 1

x = π, y = 0

x = 3π/2, y = -1

x = 2π, y = 0

For y = sin(2x):

x = 0, y = 0

x = π/2, y = 0

x = π, y = 0

x = 3π/2, y = 0

x = 2π, y = 0

As you can see, the y-values of the transformed function remain the same as the original function at every x-value, while the x-values of the transformed function are compressed by a factor of 2. This means that the graph of y = sin(2x) appears narrower or more "squeezed" horizontally compared to y = sin(x).

Therefore, the correct statement is: It is compressed horizontally.

Answer:

Distributive Property

Step-by-step explanation (if you were to show the steps):

(x+2)(y+z)   (first expression)

xy + xz + 2y + 2z (Distributive Property of Multiplication)

yx + 2y + zx + 2z (use the Commutative Property of Addition and Commutative Property of Multiplication to group xy (also known as yx) and 2y together, and to group xz (also known as zx) and 2z together)

y(x + 2) + z(x + 2) (use factoring to get the rewritten expression at the end)

Answer:

X = 5

Y = 2

Step-by-step explanation:

y=2x-8

x-4(2x-8)=-3 -> x-8x+32=-3 -> -7x = -35 -> x=-35/-7 = 5

x=5 -> y=2x-8 -> y=2(5)-8=2

Answer:

x=5  y=2

Step-by-step explanation:

Answer:

Selling Price = Cost + $3.00

c 1, 2, 3, 4, 5,

f(c) 4, 5, 6, 7, 8,

The merchant uses Selling Price = Cost + $3.00 to determine the selling price.

Addition is a process of combining two or more numbers.

A merchant adds $3.00 to his cost to determine his selling price.

The cost is denoted by c.

The selling price is given by f(c).

As there is given add in the sentence, it means we have to use the addition rule.

Selling price is the sum of cost plus three

Selling Price = Cost + $3.00

So the table becomes as below

c 1, 2, 3, 4, 5,

f(c) 4, 5, 6, 7, 8,

Hence, the merchant uses Selling Price = Cost + $3.00 to determine the selling price.

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The system of inequalities that can be used to determine the amounts is given by:

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

A system of inequalities works similarly to a system of equations, just the equality symbol is replaced by an inequality symbol(less, more, different,...).

In this problem, the variables are:

He bought glass vases that cost $22 each and ceramic vases that cost $14 each. The total cost of the vases came to more than $172, hence:

22x + 14y > 172.

Also, Ben bought no more than 10 vases in all, hence:

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Given that the area of the region bounded by the curve f(x) and x-axis from x=4 to x=10 is 13/5, the average value of the negative-valued function y=f(x) over the interval [4,10] is -13/30.

The average value of a function f(x) over an interval [a,b] is given by:

average value = (1/(b-a)) * integral from a to b of f(x) dx

In this case, we are given that the function y=f(x) is negative-valued, and the area of the region bounded by the curve and x-axis from x=4 to x=10 is 13/5. This means that the integral of f(x) over the interval [4,10] is equal to -13/5:

\(\int\limits^{10}_4 \, f(x) dx\) = -13/5

To find the average value of f(x) over this interval, we divide this integral by the length of the interval:

average value = (1/(10-4)) * \(\int\limits^{10}_4 \, f(x) dx\)

             = (1/6) * (-13/5)

             = -13/30

Therefore, the average value of the negative-valued function y=f(x) over the interval [4,10] is -13/30. This means that if we were to draw a horizontal line at the height of -13/30 over the interval [4,10], the area between this line and the x-axis would be equal to the area of the region bounded by the curve f(x) and x-axis over the same interval.

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The length of u, to the nearest inch, is 1818 inches.

To solve this problem, we can use the Law of Sines, which states that the ratio of the length of a side of a triangle to the sine of its opposite angle is constant.

In this case, we'll use the following formula:

a/sin(A) = b/sin(B) = c/sin(C)

Let's label the sides and angles of the triangle:

Side a = u (length of u)

Side b = t (820 inches)

Side c = v (length of v)

Angle A = m/U (132°)

Angle B = m2V (25°)

Angle C = 180° - A - B (as the sum of angles in a triangle is 180°)

Now, we can use the Law of Sines to set up the equation:

u/sin(A) = t/sin(B)

Plugging in the given values:

u/sin(132°) = 820/sin(25°)

To find the length of u, we'll solve this equation for u.

u = (820 \(\times\) sin(132°)) / sin(25°)

Using a calculator, we can evaluate the right side of the equation to get the approximate value of u:

u ≈ (820 \(\times\) 0.9397) / 0.4226

u ≈ 1817.54 inches

Rounding to the nearest inch, we have:

u ≈ 1818 inches

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Answer:

1/5, 1:5, 1 to 5

Step-by-step explanation:

The ratio is 3/15, but simplest form is 1/5.

Answer: 9 g

Step-by-step explanation:

The distance from the pole at which the cable is anchored is about 25 feet from the pole .

Given that a 35-foot cable is run from the top of the pole and anchored to the ground at a distance from the pole. The problem is to determine about how far away from the pole would it be anchored.

Let AB be the pole of length 40 feet, and CD be the 35-foot long cable anchored to the ground at D and attached to the top of the pole at C. Let E be the point on the ground at which the cable is taut and is anchored. The distance ED is to be determined.

we can see that ∆CDE is a right-angled triangle with ∠CED = 90°.

Using Pythagoras Theorem, we have:CD² = CE² + DE²35² = (40 - ED)² + DE² .

Simplifying the above equation

1225 = 1600 - 80ED + ED²

1225 - 1600 + 80ED - ED² = 0ED² - 80ED + 375 = 0

Factorizing the above quadratic equation

ED² - 25ED - 15ED + 375 = 0ED(ED - 25) - 15(ED - 25)

  = 0(ED - 15)(ED - 25) = 0So, ED = 15 ft or ED = 25 ft.

The negative value of ED is extraneous since it represents a point below the ground, which is not possible. Therefore, the distance from the pole at which the cable is anchored is about 25 feet from the pole.

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