Question 3 of 10
A triangle has two sides of lengths 10 and 14. What value could the length of
the third side be? Check all that apply.
A. 26
B. 5
C. 2
D. 8
E 16
F. 10

Answer:

[tex]3x - 3 < 9[/tex]

[tex]3x < 12[/tex]

[tex]x < 4[/tex]

A name for the marked angle in 2 different ways include the following:

∠UST

∠TSU

In Mathematics and Geometry, a plane is sometimes referred to as a two-dimensional surface and it can be defined as a flat, two-dimensional surface with zero curvature and zero thickness, that extends indefinitely (infinitely). Additionally, two (2) planes intersect at a line.

Generally speaking, there are different characteristics of a plane and these include the following:

In this scenario, we can reasonably infer and logically deduce that a name for the marked angle is either ∠UST or ∠TSU.

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The integral of the rational expression is equal to I = - 1.414 · ㏑ |x + 3.372| + 2.194 · ㏑ |x - 2.372| + 0.219 · ㏑ |x - 1| + C.

In this problem we find the case of a rational expression, whose integral must be determined. This can be done by means of partial fractions method, that is, decompose the rational expression into a sum of fractions. First, write the entire rational expression and use partial fractions method:

(x² - 9) / (x³ - 9 · x + 8)

[(x - 3) · (x + 3)] / [(x + 3.372) · (x - 2.372) · (x - 1)]

A / (x + 3.372) + B / (x - 2.372) + C / (x - 1)

(x - 3) · (x + 3) = A · (x - 2.372) · (x - 1) + B · (x + 3.372) · (x - 1) + C · (x + 3.372) · (x - 2.372)

x² - 9 = A · (x² - 3.372 · x + 2.372) + B · (x² - 2.272 · x - 3.372) + C · (x² + x + 7.998)

x² - 9 = (A + B + C) · x² + (- 3.372 · A - 2.272 · B + C) · x + (2.372 · A - 3.372 · B + 7.998 · C)

Solve the system of linear equations:

A + B + C = 1

- 3.372 · A - 2.272 · B + C = 0

2.372 · A - 3.372 · B + 7.998 · C = - 9

(A, B, C) = (-1.414, 2.194, 0.219)

(x² - 9) / (x³ - 9 · x + 8) = - 1.414 / (x + 3.372) + 2.194 / (x - 2.372) + 0.219 / (x - 1)

Second, integrate the resulting equation:

I = - 1.414 ∫ [1 / (x + 3.372)] dx + 2.194 ∫ [1 / (x - 2.372)] dx + 0.219 ∫ [1 / (x - 1)] dx

I = - 1.414 · ㏑ |x + 3.372| + 2.194 · ㏑ |x - 2.372| + 0.219 · ㏑ |x - 1| + C

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The correct option is hydrofluoric acid used to make anti-depressant medications would be considered an industrial good as it is used in the production.

And industrial good is something that is used to produce something, here the only option that directly says that is used in a production is the first one.

The other 3 options would be called consumer goods, as these are directed thowards consumers, not industries.

Then the correct option is the first one, "hydrofluoric acid used to make anti-depressant medications"

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Over the life of the loan, you will pay a total of $7,195.20 in interest.

Payment is a transfer of money from one party to another in exchange for goods, services, or to fulfill a legal obligation. Payment can be made in many different forms, such as cash, credit card, or bank transfer. Payment is an essential part of doing business, and it is important to ensure that all parties involved are clear on the terms and conditions of the payment.

Your monthly payment for the car loan will be $451.02. To calculate this, you can use the following formula:

Monthly Payment = Loan Amount × [Interest Rate / (1 - (1 + Interest Rate) ^-Term)]

Plugging in the values provided, you get:

Monthly Payment = 23,215 × [0.0499 / (1 - (1 + 0.0499) ^-60)]

Monthly Payment = $451.02

To calculate the total amount of interest you will pay over the life of the loan, you can use the following formula:

Total Interest Paid = (Monthly Payment × Term) - Loan Amount

Plugging in the values provided, you get:

Total Interest Paid = (451.02 × 60) - 23,215

Total Interest Paid = $7,195.20

Therefore, over the life of the loan, you will pay a total of $7,195.20 in interest.

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Over the life of the loan, you will pay a total of $7,195.20 in interest.

What is payment?

Payment is a transfer of money from one party to another in exchange for goods, services, or to fulfill a legal obligation. Payment can be made in many different forms, such as cash, credit card, or bank transfer. Payment is an essential part of doing business, and it is important to ensure that all parties involved are clear on the terms and conditions of the payment.

Your monthly payment for the car loan will be $451.02. To calculate this, you can use the following formula:

[tex]Monthly \: Payment \: Loan \: Amount × \: [Interest \: Rate \: / \: (1 - (1 + \: Interest \: Rate) ^{-Term})][/tex]

Plugging in the values provided, you get:

Monthly Payment [tex]23,215 [0.0499/(1 - (1+ = 0.0499) ^{-60})][/tex]

To calculate the total amount of interest you will pay over the life of the loan, you can use the following formula:

Total Interest Paid = (Monthly Payment Term) - Loan Amount

Plugging in the values provided, you get:

Total Interest Paid (451.0260) - 23,215

= Total Interest Paid $7,195.20

Therefore, over the life of the loan, you will pay a total of $7,195.20 in interest.

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Answer:  

Step-by-step explanation:

Add the exponents [tex]x^{2} x^{9} = x^{11}[/tex]

The solution is :

So, you need 3 days approximately.

Here, we have,

We will use Chain Rule to solve this question.

According to Chain Rule, the work efficiency remains constant.

• WWF×TWWF×T= Constant

• Here W = Work Done, WF = Workforce, T = Time.

Let the number of days needed be 'x'.

Applying Chain Rule,

10×9×6= 15×12×(x)

Or, x=3x=3 day

So, you need 3 days approximately.

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Answer: -13 + -17 x -187/11

Answer:

The x-coordinate stays the same, so the starting point is at (-3, -5) since 4 - 9 = -5.

Step-by-step explanation:

The formula for the circumference of a circle :

circ = pi * d      <======you need to remember this

circ = pi * 5.52 mm = 17.34 cm

Answer:

it's correct because when you plug in the value of 2 and check, you get 1. try it yourself and you'll see!

Step-by-step explanation:

Answer:

D - 37 degrees

Step-by-step explanation:

Sin = opp / hyp

Cos = adj / hyp

Tan = opp / adj

Tan(x) = 29/38

~37.34 degrees

Answer:

640.75

Step-by-step explanation:

2563/4 = 640[tex]\frac{3}{4}[/tex] = 640.75

Answer:

the result of 2563/4 is 641 with a remainder of 3. We can also express this as a mixed number:

2563/4 = 640 3/4

The graphs of the functions y = cos 2x and y = 1 - sin² x intersect at x = 0 and x = π over the interval 0 ≤ x ≤ π.

To find the intersection points of two functions set the two functions equal to each other, simplify the equation using trigonometric identities, and then solved for the values of x that satisfied the equation. And check the values if the given function is satisfied or not.

Here we have

The functions y = cos 2x and y = 1 - sin²x  

And the interval 0 ≤ x ≤ π

To find the x-values where the graphs of the functions y = cos 2x and y = 1 - sin² x intersect over the interval 0 ≤ x ≤ π,

We need to set the two functions equal to each other and solve for x.

So, we have:

cos 2x = 1 - sin² x

Using the identity cos 2x = cos²x - sin² x, we can rewrite this as:

cos²x - sin² x = 1 - sin² x

On Simplifying, we get the:

cos² x = 1

Taking the square root of both sides, we have:

cos x = ±1

Since we're only considering the interval 0 ≤ x ≤ π,

the possible values of x are:

x = 0, π/2, π

Now, we need to check which of these values of x satisfy the original equation:

For x = 0, cos 2x = cos 0 = 1 and 1 - sin² x = 1 - sin² 0 = 1,

So they intersect at x = 0.

For x = π/2, cos 2x = cos π = -1 and 1 - sin² x = 1 - sin² (π/2) = 0,

So they don't intersect at x = π/2.

For x = π, cos 2x = cos 2π = 1 and 1 - sin² x = 1 - sin² π = 1,

So they intersect at x = π.

Therefore,

The graphs of the functions y = cos 2x and y = 1 - sin² x intersect at x = 0 and x = π over the interval 0 ≤ x ≤ π.

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The answer is 44 houses, none of the given options match the number of three-story houses.

To find the number of three-story houses in the neighborhood, we need to subtract the number of one-story and two-story houses from the total number of houses:

50 - 5 - 1 = 44

So there are 44 three-story houses.

Therefore, the answer is 44 houses. None of the given options match the number of three-story houses.

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Answer:-8 and 2

Step-by-step explanation:

graph it

The graph of the system is on the image at the end, there we can see that it has no solutions.

The two linear equations are:

y = (1/2)*x - 6

y = (1/2)*x - 4

First we can see that the two lines are parallel, thus, the lines never do intercept, so that is enough to know that the system of equations has no solutions.

We can graph both of the lines in the same coordinate axis and we wil see that the lines never intercept, as you can see in the graph at the end of this answer.

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The value of x when the tangent intersect is 270 degrees.

The angle theorem between intersecting tangents states that the measure of the angle formed by two tangents that intersect at a point outside a circle is equal to one-half the positive difference of the measures of the intercepted arcs.

Therefore,

90 = 1 / 2(x - (360 - x))

90 = 0.5(x - 360 + x)

90 = 0.5(2x - 360)

90 = x - 180

add 180 to both sides of the equation

90 + 180 = x - 180 + 180

x = 270 degrees

Therefore,

x = 270 degrees

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Answer:171

Step-by-step explanation:(15+23)/2*9=19*9=171 so 171 is our answer.

The point prevalence of hypertension among those individuals prescribed the drug is 0.58200

Point prevalence of hypertension among those individuals prescribed the drug

=17620/30276

=0.58200

Option C is correct(0.58200)

The percentage of a population that is afflicted by a specific illness or condition at a particular period is known as point prevalence.

To find out how a disease or condition affects a community, this method is used by epidemiological studies.

For instance, the point prevalence of diabetes in a group would be 5% if studies showed that at a given moment, 5 out of 100 people in that population had the ailment.

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The difference between the number of actual outcomes and the number of expected outcomes is given as follows:

3 outcomes.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

The probabilities are given as follows:

Hence the composite probability of the two independent events is given as follows:

1/2 x 1/4 = 1/8.

The expected number of outcomes in 40 trials is given as follows:

1/8 x 40 = 5 outcomes.

Hence the difference is of:

8 - 5 = 3 outcomes.

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We can start by multiplying the numerators and denominators separately:

(2x - 2) / 21 * 49 / (1 - x)

= [(2(x - 1)) / 21] * [49 / -(x - 1)]

Notice that (1 - x) = -(x - 1), so we can simplify the expression further:

= [(2(x - 1)) / 21] * [49 / -(x - 1)]

= [(2(x - 1)) / 21] * [49 / (x - 1)]

= [2 * 7] / [3 * (x - 1)]

= 14 / (3x - 3)

Therefore, the simplified expression is 14 / (3x - 3).

The constant of variation for the

number of hummingbirds per flower is 0.75.

From the information, Daniel recorded the number of hummingbirds (B) and the number of red flowers (F) for each quarter of a field.

For the first observation, we have 6 hummingbirds and 8 flowers. So the ratio of hummingbirds to flowers is 6/8 = 0.75.

For the second observation, we have 12 hummingbirds and 16 flowers. So the ratio of hummingbirds to flowers is 12/16 = 0.75.

Hence, the constant of variation for the

number of hummingbirds per flower is 0.75.

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Answer:

  B.  7

Step-by-step explanation:

You want the value of b from the choices {5, 7, 8, 10} that will satisfy both inequalities ...

You are asked to find the answer by substitution. This means you put the offered value of 'b' into the inequality where 'b' is, then simplify and see if you have a true relation.

In the first inequality, this is ...

  2·5 -8 > 5

  10 -8 > 5

  2 > f . . . . . . . false — not a solution

In the first inequality, this is ...

  2·7 -8 > 5

  14 -8 > 5

  6 > 5 . . . . . . True

In the second inequality, we have ...

  3·7 -13 < 9

  21 -13 < 9

  8 < 9 . . . . . . True — this is the solution you want

The choice b = 7 satisfies both inequalities.

__

Additional comment

We generally find it easier to compare to zero, rather than some constant. In the attached, we evaluated the left-side expressions ...

The first inequality is true for b = {7, 8, 10}. The second inequality is true for b = {5, 7}. The only value of b that satisfies both inequalities is b=7.

You will notice we also find it easier to try all the choices at once, rather than retype the calculator input for each one.

Answer:

The volume of the pyramid is approximately 25,920,000 cubic feet.

Step-by-step explanation:

The Great Pyramid of Khufu is one of the most famous pyramids in Egypt, located in Giza. Its original height was 146.7 meters (481 feet), but due to erosion and the loss of its outer casing, it now stands at a height of 138.8 meters (455 feet). The base of the pyramid is a square with sides measuring 230.4 meters (755.9 feet).

To find the volume of the pyramid, we can use the formula:

V = (1/3)Bh

where V is the volume, B is the area of the base, and h is the height of the pyramid.

First, we need to convert the dimensions of the pyramid to feet. The height of the pyramid is 455 feet, and the base of the pyramid is a square with sides of 755.9 feet.

The area of the base is:

B = side^2 = (755.9 ft)^2 = 571536.81 sq ft

The volume of the pyramid is:

V = (1/3)Bh = (1/3) × 571536.81 sq ft × 455 ft ≈ 2.592 × 10^7 cubic feet

Therefore, the dimensions of the Great Pyramid of Khufu are approximately 755.9 feet for each side of the base, and 455 feet for the height. The volume of the pyramid is approximately 25,920,000 cubic feet.

The statement that correctly compares the centers of the distributions is this: D. The mean of East Hills HS is greater than the mean of Southview HS.

The statement that correctly describes the centers of the distributions is option D. To find out, we will calculate the mean of the two distributions as follows:

East Hills HS

25 * 1 + 29 * 1 + 31 * 2 + 33 * 4 + 35 * 5 + 37 * 8 + 39 * 4

= 875

Frequency = 1 + 1 + 2 + 4 + 5 + 8 + 4 = 25

Mean = 875/25

35

Southview

25 * 2 + 27 * 6 + 29 * 9 + 31 * 6 + 33 * 2

= 725

Frequency = 2 + 6 + 9 + 6 + 2 =25

Mean = 29

So, from our calculation, the mean of East Hills HS is greater than the mean of Southview HS.

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Answer:

dy/dx = (2xy^7 - 4y) / (y - 6x^2y^6)

Step-by-step explanation:

To find dy/dx by implicit differentiation, we differentiate both sides of the equation with respect to x.

Differentiating 4x + In y=x²y^6 with respect to x, we get:

4 + (1/y) dy/dx = 2xy^6 + 6x^2y^5 dy/dx

Now, we can isolate dy/dx by moving the terms that contain it to one side of the equation, and moving the rest to the other side:

(1/y - 6x^2y^5) dy/dx = 2xy^6 - 4

Dividing both sides by (1/y - 6x^2y^5), we get:

dy/dx = (2xy^6 - 4) / (1/y - 6x^2y^5)

Simplifying this expression, we can write:

dy/dx = (2xy^7 - 4y) / (y - 6x^2y^6)

Answer:

3. 2(π)(4)

Step-by-step explanation:

The expression for the circumference of a circle is 2πR.

The R stands for the radius which is 4.

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For the given problem, the correct answer is: "Reject the claim that the mean weight is different from 14 oz when it is actually 14 oz."

In the given problem,

It is claimed by cereal manufacturer that the average weight of the cereal in its packets is 14 oz. To test this claim , we may use a hypothesis test in which the null hypothesis (H0) is that the cereal in the packets has a mean weight of 14 oz and the alternative hypothesis (H1) iwill be that it does not.

Assume we run the test and get a result that causes us to reject the null hypothesis (H0). This indicates that we discovered an evidence to support the alternative hypothesis (H1), which states that the average weight of the cereal in the packets is not 14 oz.

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