i dont know how to do this could someone help

Answer:

-7

Step-by-step explanation:

For this expression, the variables are equal to:

An expression is a mathematical equation which shows the relationship existing between two or more numerical quantities or variables.

Given the following expression:

[tex]\sqrt[4]{15^{7} }[/tex]

From the law of indices, we have:

[tex]\sqrt[c]{a^{b} } =a^{\frac{b}{c} } \\\\\sqrt[4]{15^{7} } =15^{\frac{7}{4} }[/tex]

For this expression, the variables are:

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Answer: A = 15, B = 7, C = 4, I got it right

:)

The attached graph represents the graph of the linear equation y = 1000x - 5000 on a scale of 1 to 1000 units on both axes

Linear equations are equations that have constant average rates of change, slope or gradient

The equation of the linear function is given as:

y = 1000x - 5000

The x values are given as:

x = -3 to 8

This means that the domain of the function is [-3, 8] or -3 <= x <= 8

So, we set x = -3 and x = 8, and we calculate the y values.

So, we have:

y = 1000 * -3 - 5000 = -8000

y = 1000 * 8 - 5000 = 3000

So, we draw two points at (-3, -8000) and (8, 3000) and connect the dots

See attachment for the graph of the function

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Answer:

y= 4

Step-by-step explanation:

(y-4) (y+7)=0

(4-4) (4+7)=0

(0) (11)=0

11*0=0

Answer: GET BRAINLY PLUS FOR VERIFIED ANSWERS NOW

Step-by-step explanation:

NOW

The greatest common factor of the two expressions given as in the task content is; 3v².

It follows from the task content that the terms whose greatest common factor are to be determined are: 15v³ and 12 v².

15v³ and 12v²

= 3v²(5v) and 3v²(4)

= 3v²(5v) and (4)

Consequently, in a bid to factorise the two expressions by means of their greatest Common factor, the greatest common factor can be determined as; 3v².

The correct answer choice which therefore represents the greatest common factor as required in the task content is; 3v².

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The Area of the kite with the given diagonals is: 125 square meters.

A kite can be described as a quadrilateral having four (4) sides, which can be categorized into two pairs of congruent sides, each of them is adjacent to the other. A kite has two diagonals that intersect, where by the longer diagonal divides the smaller diagonal into equal halves.

An example of a kite is shown in the image attached below, where:

JL and KM are the diagonals of the kite.

The formula for finding the area of a kite is given as:

Area = 1/2 × (product of the lengths of the diagonals)

Given the following:

Length of diagonal 1 = 10 meters

length of diagonal 2 = 25 meters

Area = 1/2 × (product of the lengths of the diagonals) = 1/2 × (10 × 25)

Area of kite = 1/2 × (250)

Area of kite = 1/2 × (250)

Area of kite = 125 square meters.

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Answer:

• [tex](w \cdot u) (7)[/tex] =  [tex]\bf 8[/tex]

• [tex](u \cdot w) (7)[/tex]  =  [tex]\bf 22[/tex]

Step-by-step explanation:

We are given:

[tex]u(x) = x^2 + 6[/tex]

[tex]w(x) = \sqrt{x + 9}[/tex].

• [tex](w \cdot u) (7)[/tex]. read as "w of u of 7", means we have to input 7 into the function [tex]u(x)[/tex], and use the output we get as input for the function [tex]w(x)[/tex] :

[tex](w \cdot u) (7)[/tex]

⇒ [tex]w(u(7))[/tex]

⇒ [tex]w(7^2 + 6)[/tex]

⇒ [tex]w(55)[/tex]

⇒ [tex]\sqrt{55 + 9}[/tex]

⇒ [tex]\sqrt{64}[/tex]

⇒ [tex]\bf 8[/tex]

• Similarly, we can evaluate [tex](u \cdot w) (7)[/tex] :

[tex](u \cdot w) (7)[/tex]

⇒ [tex]u(w(7))[/tex]

⇒ [tex]u(\sqrt{7 + 9})[/tex]

⇒ [tex]u(\sqrt{16})[/tex]

⇒ [tex]u(4)[/tex]

⇒ [tex]4^2 + 6[/tex]

⇒ [tex]\bf 22[/tex]

The answers are :

(w o u)(7) = 8

(u o w)(7) = 22

To find the first answer, substitute u(x) in w(x), and set x = 7.

To find the second answer, substitute w(x) in u(x), and set x = 7.

The graph is shown in the attached image.

The final graph of y = -|x + 2| + 3 is a V-shaped curve that opens downwards and is shifted upwards by 3 units.

This curve intersects the x-axis at x = -4 and x = -0 and passes through the point (-2, 1).

The graph is given below.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The graph of y = -x is a straight line that passes through the origin and has a slope of -1.

It extends infinitely in both directions and has a negative slope, which means that as x increases, y decreases.

The graph of y = |x + 2| - 3 is a bit more complex.

The absolute value function |x + 2| means that the value of x + 2 is taken, and then the absolute value of that value is calculated.

The absolute value function always returns a positive value, so the graph of y = |x + 2| is a V-shaped curve that opens upwards and passes through the point (-2, 0).

The minus sign outside the absolute value function means that the entire curve is reflected about the x-axis, so the graph of y = -|x + 2| is also a V-shaped curve, but this time it opens downwards.

Finally, the +3 at the end of the equation means that the entire graph of

y = -|x + 2| is shifted upwards by 3 units.

Thus,

The final graph of y = -|x + 2| + 3 is a V-shaped curve that opens downwards and is shifted upwards by 3 units.

This curve intersects the x-axis at x = -4 and x = -0 and passes through the point (-2, 1).

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Answer:

B 1233 ft^2

Step-by-step explanation:

I hope this is right

Answer:

3

Step-by-step explanation:

i used process of elimination... 1 and 2 looks unreasonable, and 4 doesn't work cus i tried it irl. i might be wrong though, don't rely on me :>

The statement is false as the sample is a few ATMs of the total ATMs in US.

The sample is only 860 ATMs and not total ATMs in US thus, a sample of 860 ATMs have taken and conducted the survey.

Thus, the statement is false as the sample is a few ATMs of the total ATMs in US.

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What this has to signify would be the fact that there is a the spread of a stimulus through the ventricles.

This is used to refer to the term that has to do with the combination of the different types of waves. These are the Q wave, the R wave as well as the S wave. This is used in ECG measurement. It has to do with the measurement of the chambers of a person heart to check its normal function.

When the ECG are in this category, it can be regarded as a high. This may put a person to have the more likelihood of having a death that is caused by coronary diseases.

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Considering the standard deviation, the data-set has no outliers.

For the given data-set, the mean is:

(35+31+29+34+6+31+32+30)/8 = 28.5.

Hence the standard deviation is:

[tex]S = \sqrt{\frac{(35-28.5)^2+(31-28.5)^2+(29-28.5)^2+(34-28.5)^2+(6-28.5)^2+(31-28.5)^2+(32-28.5)^2+(30-28.5)^2}{8}} = 8.7[/tex]

A measure is said to be an outlier if it is more than 3 standard deviations for the mean. Hence the thresholds are:

Since all values are between 2.4 and 54.6, the data-set has no outliers.

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Answer:

Step-by-step explanation:

(4+8/2)*5-1

8*5-1

39 is your answer

Taking into account the definition of proportion, 12 students said their favorite color was blue.

The ratio is the comparison of two quantities and is measured from the division of two values. In other words, the ratio between two magnitudes is defined as their ratio or division; that is, given the quantities a and b, the ratio between them is a÷b.

The result of this division can be understood as how many times one quantity is in another.

The relationship of equality that exists between two ratios, that is, between two comparisons between two determined quantities, is known as a proportion. So if a/b corresponds to the ratio, then a/b = c/d equals a proportion.

At school, the teacher surveyed the color preferences of 21 students. Out of every 7 students surveyed, 4 said they liked blue the best. This can be expressed as a proportion as follow:

4÷7= x÷ 21

where x is the number of students of the 21 students surveyed who like blue.

Solving:

(4÷7)×21= x

12= x

Finally, 12 students said their favorite color was blue.

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The ounces of cheese Ellie uses to make tacos is 2

What is a unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Calculation :

1 pound = 16 ounces

Total cheese Ellie has = [tex]\frac{2}{8}[/tex] pound

Cheese required to make tacos = [tex]\frac{2}{8}[/tex]×[tex]\frac{1}{2}[/tex] = [tex]\frac{1}{8}[/tex] pounds

Ounces of cheese required to make cheese are [tex]\frac{1}{8}[/tex] × 16 = 2 ounces

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Answer:

the frequency is the number of times a particular value occurs in a given data.

The cubic meters of water did the hull of the titanic have to displace to stay afloat is known to be about 52,310 tons that is 51843.918 m³ of water.

The RMS Titanic is known to be a ship that is said to be owned by the White Star Line.

This is known to be the biggest British passenger liner that was said to have  sank when it was on its maiden voyage in the year 1912 in the North Atlantic Ocean.

Note that it sank because it was said to have hit an iceberg on Sunday, 14 April 1912.

The Titanic was said to be about 46,328 gross register tons and was known to have displaced about 52,310 tons of water.

So, 1 ton (displacement) ≈ 0.99109 cubic meters (m³)

Therefore, 52,310 tons

= 52,310 × 0.99109 m³

≈ 51843.918 m³

Therefore, The cubic meters of water did the hull of the titanic have to displace to stay afloat is known to be about 52,310 tons that is 51843.918 m³ of water.

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The time it takes them working together to paint the room is 3.08 hours

Rational expression are equation written as a ratio of two expressions or equations.

If Wes can paint a certain room in 8 hours, she can paint 1/8 of the room in 1 hr

Similarly, if Sally can paint the same room in 5 hours, , she can paint 1/5 of the room in 1 hr

Determine the time it takes them to paint the room altogether.

Time together = x

Using the expression below to determine the value of x

1/x = 1/8 + 1/5

1/x = 5+8/40

1/x = 13/40
x = 40/13

x = 3.08

Hence the time it takes them working together to paint the room is 3.08 hours

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The slope of tangent line at point(4, 2pi) is undefined.

For given question,

We have been given a polar equation r = 2 + 2cos(θ)

We need find dy/dx as well as the slope of tangent line at point(4, 2π).

We know that, for polar equation we use,

x = r cos(θ)   and  y = r sin(θ)

plug the given value of r into these equations we get:

⇒ x = r cos(θ)

⇒ x = (2 + 2cos(θ) ) ×  cos(θ)

⇒ x = 2(cos(θ) + cos²(θ))

⇒ x = 2cos(θ) + 2cos²(θ)

Similarly,

⇒ y = r sin(θ)

⇒ y = (2 + 2cos(θ) ) ×  sin(θ)

⇒ y =  2(sin(θ) + sin(θ)cos(θ))

⇒ y =  2sin(θ) + 2sin(θ)cos(θ)

Now we find derivative of x and y with respect to theta.

[tex]\Rightarrow \frac{dx}{d\theta} =-2sin(\theta)+2(-2cos(\theta)sin(\theta))\\\\\Rightarrow \frac{dx}{d\theta} =-2sin(\theta)-2sin(2\theta)[/tex]          .............(1)

Similarly,

[tex]\Rightarrow \frac{dy}{d\theta}=2cos(\theta)+2(cos^2(\theta)-sin^2(\theta))\\\\\Rightarrow \frac{dy}{d\theta}=2cos(\theta)+2(cos(2\theta))[/tex]          ..............(2)

Now we find dy/dx

⇒ dy/dx = (dy/dθ) / (dx/dθ)

From (1) and (2),

[tex]\Rightarrow \frac{dy}{dx} =\frac{2cos(\theta)+2cos(2\theta)}{-2sin(\theta)-2sin(2\theta)} \\\\\Rightarrow \frac{dy}{dx} =\frac{2(cos(\theta)+cos(2\theta))}{-2(sin(\theta)+sin(2\theta))}\\\\\Rightarrow \frac{dy}{dx} =-\frac{cos(\theta)+cos(2\theta)}{sin(\theta)+sin(2\theta)}[/tex]

We know that The slope of tangent line is given by dy/dx.

So, the slope is: [tex]m =-\frac{cos(\theta)+cos(2\theta)}{sin(\theta)+sin(2\theta)}[/tex]

Now we need to find the slope of tangent line at point(4, 2pi)

Substitute θ = 2π in above slope formula.

[tex]\Rightarrow m =-\frac{cos(2\pi)+cos(2\times 2\pi)}{sin(2\pi)+sin(2\times 2\pi)}\\\\\Rightarrow m=-\frac{1+cos(4\pi)}{0+sin(4\pi)}\\\\\Rightarrow m=-\frac{1+cos(4\pi)}{sin(4\pi)}[/tex]

⇒ m = ∞

The slope of tangent line at point(4, 2pi) is not defined.

This means, the tangent line must be parallel to Y-axis.

Therefore, the slope of tangent line at point(4, 2pi) is undefined.

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Answer:

It is a little hard to see.  I think that it is 10.

Step-by-step explanation:

They break even where the two lines intersect.  If you look at the bottom of the graph and find 10 and then trace that straight up, I think that is where I see the lines crossing.

Step-by-step explanation:

since it has a hypotenuse C

using pythagoras theroem

hpy²=opp²+adj²

=(5)²+(5√7)²

=25+175

=200

hyp=√200

=10√2

Answer:

Step-by-step explanation:

350 : (5 + 8 + 12) =

350 : 25 = 14

14 * 12 = 168

Step-by-step explanation:

cotθcosθ=1tanθ⋅1cosθ

0.0016

reduce expression if possible by canceling the common factors

The length of the function x = 2y is 2√5 units

According to the given question.

We have a function

x = 2y

Since, we know that the length of the function in the interval [a, b] is given by

l =    [tex]\int\limits^a_b\sqrt{1+(\frac{dx}{dy}) ^{2} } \,dy[/tex]

Where, l is the length of the function.

Now, differentiating the given function x = 2y w.r.t y.

Therefore,

dx/dy = 2

So, the length of the given function x = 2y  from y = -1 to y = 1 is given by

l =   [tex]\int\limits^1_{-1}{\sqrt{1+2^{2} } } \,dy[/tex]

⇒ l =   [tex]\int\limits^1_{-1} {\sqrt{1+4} } \,dy[/tex]

⇒ l =   [tex]\int\limits^1_{-1}{\sqrt{5} } \,dy[/tex]

⇒ l = √5[1 - (-1)]

⇒ l = √5(2)

⇒ l = 2√5

Hence, the length of the function x = 2y is 2√5 units.

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