550.320 to the nearest whole number

Answer:

A= 30 sq. cm

Step-by-step explanation:

We want to find the area of both triangles seprately than add them together. For the area of a traingle, we use the equation 1/2 base times height. For triangle ABE we do this:

\(A = \frac{1}{2} (12)(4)\)

\(A = (6) (4)\)

\(A = 24\)

For triangle BDC, we do this:

\(A = \frac{1}{2} (6) (2)\)

\(A = (3) (2)\)

\(A=6\)

Now we have to add both areas ot get A=30 sq cm

The area between the curve and x-axis is 6/7 units²

How can one find out the area between a curve and x-axis using integrals?

By performing a definite integral between the two locations, one can determine the area under a curve between two points. Integrate y = f(x) between the limits of a and b to determine the area under the curve y = f(x) between x = a and x = b. Areas below the x-axis will have a negative result, while those above the x-axis will have a positive result.

Solution:

Given,

curve y= 3x⁶

x-axis interval = ₋1 to 1

area between the curve and the x-axis is limits(-1 to 1) ∫3x⁶

limits(-1 to 1) 3∫x⁶

limits(-1 to 1) 3∫x⁷/7

3[2/7]

6/7 units²

Hence we get the answer as 6/7 units².

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The images best represents the result is image W.

We have, the image is rotated about the x-axis.

Now, rotating around x axis can give the other half of the image.

Also, rotating about x axis gives the mirror image of the figure.

So, the rotation leads to a circle.

and, In three dimensional we can say that Sphere.

Thus, the required image is W.

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The coefficient of the equation does not affect whether the function represents growth or decay, but it does affect the rate of growth or decay

The sign of the base and the sign of the exponent are the two options that determine whether an exponential equation represents growth or decay.

If the equation's base is bigger than one,

Then the exponential function represents growth.

If the base, on the other hand, is between 0 and 1, the exponential function symbolizes decline.

The sign of the exponent also plays a crucial role in determining whether the function represents growth or decay.

If the exponent is positive, then the function represents growth.

However,

If the exponent is negative, then the function represents decay.

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Answer:

180km

Step-by-step explanation:

1hour48mins =108mins

108÷18=6

6×30=180km

Answer:

162 cm

Step-by-step explanation:

The formula is A=2(wl+hl+hw), your teacher just wrote it in a diffrent order but it's the same. Plug it in to get 2×(3×7+6×7+6×3). Calculate.

The answer of the given question based on to determine that the quadrilateral must be a parallelogram the answer is given below.

A parallelogram is  type of quadrilateral ( polygon with four sides) with two pairs of parallel sides. This means that the opposite sides of parallelogram are parallel and congruent.

Yes, we can determine that the given quadrilateral is a parallelogram based on the information given.

We are told that opposite sides of the quadrilateral are congruent (that is, AB is congruent to CD, and BC is congruent to DA), which is a property of parallelograms. We are also told that opposite angles of the quadrilateral are congruent (that is, angle A is congruent to angle C, and angle B is congruent to angle D), which is another property of parallelograms.

Therefore, based on these two pieces of information, we can conclude that the quadrilateral must be a parallelogram. This is because these properties are unique to parallelograms and do not apply to other types of quadrilaterals, such as rectangles, rhombuses, or trapezoids.

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For each pound of the blend, Cold Beans should use 3 pounds of Guatemalan coffee.

This means that in a 6-pound bag of the blend, they would use \(3 \times 6 = 18\)pounds of Guatemalan coffee.

Let's assume that x pounds of Guatemalan coffee are used per pound of the blend.

Given information:

Cost of Guatemalan coffee = $11/lb

Cost of the other coffee = $5/lb

Desired cost of the blend = $8/lb

Total weight of the blend = 6 pounds

To find the ratio of Guatemalan coffee to the total blend, we can set up the equation:

\((x \times 11 + (6 - x) \times 5) / 6 = 8\)

In this equation, \((x \times 11)\) represents the cost of the Guatemalan coffee in the blend, and\(((6 - x) \times 5)\) represents the cost of the other coffee in the blend.

The numerator is the total cost of the blend, and we divide it by 6 (the total weight of the blend) to find the cost per pound.

Now, let's solve the equation for x:

(11x + 30 - 5x) / 6 = 8

6x + 30 = 48

6x = 48 - 30

6x = 18

x = 18/6

x = 3

Therefore, for each pound of the blend, Cold Beans should use 3 pounds of Guatemalan coffee.

This means that in a 6-pound bag of the blend, they would use \(3 \times 6 = 18\)pounds of Guatemalan coffee.

To summarize, to achieve a cost of $8 per pound for a 6-pound bag of blend, Cold Beans should use 3 pounds of Guatemalan coffee per pound of the blend.

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Answer:

x≈33.36

Step-by-step explanation:

The marks on the lines mean they are the same lenth, that means the other two angles are both 29 degrees. Because triangle angles add up to 360, we can add the two 29 degree angles and subtract them from 360 to get the angle of the equation. From here we can solve to find x.

\(29+29=58\)

\(360-58=302\)

\(11x-65=302\\\)

\(11x=367\) (add 65 on both sides)
\(x\)≅\(33.36\) (divide 11 on both sides)

Answer:

442

Step-by-step explanation:

you can download g a u t h m a t h for questions like this, good luck :D

Answer:

x² + 3x - 10 = 0

x² - 25 = 0

Answer:

Savings

Step-by-step explanation:

If you don't have a lot of money in general and an emergency occurs savings is the easiest way to go because you money money saved up for issues like these. But if u don't even have a savings account credit cards might be the way to go but it will damage your credit score pretty badly. So Savings is my final answer.

Step-by-step explanation:

it seems you solved the tricky part yourself already.

just to be sure, let's do the first derivative here again.

the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...

f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =

= 3t⁴ + 18t³ + 24t² + 18t + 21

f'(t) = 12t³ + 54t² + 48t + 18

and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).

we simply put the input number (2) at every place of the input variable (t).

so,

f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =

= 426

Using linear function you would need to cross the bridge 30 times for the costs of the two toll options to be the same.

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The amplitude , period and frequency of the motion of the mass are :

Amplitude = 5 inches, Period = 2 seconds, Frequency = 0.5 cycles per second.

In the equation y = 5sin(πt), the function represents the displacement of a mass suspended on a spring.

Amplitude: The amplitude of the motion is the coefficient of the sine function, which is 5 in this case. The amplitude represents the maximum displacement of the mass from its equilibrium position. In this case, the maximum displacement is 5 inches.

Period: The period of the motion is the time it takes for the mass to complete one full cycle of oscillation. In this equation, the coefficient of t inside the sine function is π (pi). The period of the motion can be calculated using the formula T = 2π/ω, where T is the period and ω is the angular frequency. In this case, the angular frequency is π, so the period T is 2π/π, which simplifies to 2 seconds.

Frequency: The frequency of the motion is the reciprocal of the period and represents the number of cycles per unit of time. In this case, the frequency is 1/T, which is 1/2, or 0.5 cycles per second.

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Answer:

x = 10

Step-by-step explanation:

Answer:

\(\bf x=10\)

Step-by-step explanation:

\(\tt 4x+3(x-1)=67\)

Use the distributive property to multiply 3 by x-1:-

\(\tt 4x+3x-3=67\)

Combine 4x and 3x = 7x:-

\(\tt 7x-3=67\)

Add 3 to both sides:-

\(\tt 7x=70\)

Divide both sides by 7:-

\(\tt \cfrac{7x}{7} =\cfrac{70}{7}\)

\(\tt x=10\)

Answer:

Its the bottom one.

Step-by-step explanation:

Answer: ( 1 1/4 + 2 3/8 ) 3/4

Step-by-step explanation:

This is the answer

a) The probability that at least one of the two young adults selected is living in his or her parent’s home is; 0.74.

b) The probability both young adults selected are living on their own is; 0.26

We are given the events as;

M = the event a male young adult is living in his parent’ home

F = the event a female young adult is living in her parent’ home

We are also given that;

Probability that a male young adult is living in his parent’ home; P(M) = 0.56

Probability that a female young adult is living in her parent’ home; P(F) = 0.42

a) The probability that at least one of the two young adults selected is living in his or her parent’ home is;

P(at least one of the two young adults selected is living in his or her parents home) = P(M or F) = P(M) + P(F) - P(M and F)

= 0.56 + 0.42 - 0.24 = 0.74.

B) The probability both young adults selected are living on their own which means neither is living with their parents is;

P(neither living with parents) = 1 - P(M or F)

= 1 - 0.74 = 0.26.

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Answer:

it becomes a 3 unit hight

Answer:

64/9 or 7 1/9 I belive

Step-by-step explanation:

1) Make into improper fraction which would be 8/3

2) Multiply to get 64/9 and make it to 7 1/9

Answer:

45

Step-by-step explanation:

This is a combination question: how many ways can you pick 2 people from a group of 10?

Using the notation C(10, 2) for the number of combinations of 10 things chosen 2 at a time...

\(C(10, 2)=\frac{10!}{2!(10-2)!}=\frac{10!}{2!\cdot 8!}=\frac{10\cdot 9}{2\cdot 1}=45\)

To achieve a comparable rate of return, Hank would need to earn an interest rate of approximately 0.86% per month, compounded monthly on his ordinary annuity.

To find the interest rate, compounded monthly, that Hank would need to earn on an ordinary annuity for a comparable rate of return, we can use the present value formula for an ordinary annuity.

First, let's calculate the present value of Hank's payments. He made payments of $219 per month for 30 years, so the total payments amount to $219 * 12 * 30 = $78840.

Now, we need to find the interest rate that would make this present value equal to the selling price of the property, which is $195,258.

Using the formula for the present value of an ordinary annuity, we have:

PV = P * (1 - (1+r)\(^{(-n)})\)/r,
where PV is the present value, P is the payment per period, r is the interest rate per period, and n is the number of periods.

Plugging in the values we have, we get:
$78840 = $219 * (1 - (1+r)\({(-360)}\))/r.

Solving this equation for r, we find that Hank would need to earn an interest rate of approximately 0.86% per month, compounded monthly, in order to have a comparable rate of return.

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Answer:

0.035 kg

Step-by-step explanation:

(0.07 kg / 1 litre) x (0.5 litre)

= 0.035 kg

Notice how the units of litres cancel and all you are left with is units of kg which is what we want. Another way of solving this problem is via logic. If 1 litre of water is needed for 0.07 kg salt, then half a litre of water (0.5) would need half of the amount needed by 1 litre water so (0.07/2) = 0.035 kg

The swimming pool can hold a volume of 3.456 cubic meters of water.

The volume of water that the swimming pool can hold can be calculated by multiplying the base area of the pool by its depth. In this case, the base area is given as 192 m² and the depth is 1.8 cm.

However, it is important to note that the depth should be converted to meters before performing the calculation.

To convert 1.8 cm to meters, we divide it by 100 (since there are 100 centimeters in a meter):

Depth = 1.8 cm ÷ 100 = 0.018 m

Now we can calculate the volume of water using the formula:

Volume = Base Area × Depth

Substituting the given values, we get:

Volume = 192 m² × 0.018 m = 3.456 m³

Therefore, the swimming pool can hold a volume of 3.456 cubic meters of water.

In the explanation, we use the formula for calculating the volume of a rectangular prism, which is given by multiplying the base area by the depth. We convert the depth from centimeters to meters and then substitute the given values into the formula to find the volume of water that the swimming pool can hold, which is 3.456 cubic meters.

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Answer:

As

Step-by-step explanation:

Aaa

Insured = 72%.

Uninsured = 28%.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

Here is a table classifying 116 thousand US households (in thousands) in

2013 by tenure and insurance status:

Insurance status      Owns home   Rents home

Insured                              71                13

Uninsured                         27               5

Total house = 71 + 13 + 5 + 27 = 116

Insured = (71 + 13)/116 = 72%.

Uninsured = (5 + 27)/116 = 28%.

Therefore, 72% = insured and 28% = uninsured.

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Answer:

Step-by-step explanation:

Actually its

Andy spends $ 13.20

Emily will spend 23.40

HOPE IT HELPS!!!!!!!!!!

Answer: 62°

Step-by-step explanation:

apply concept: the interior angle sum of triangle is = 180°

          a+b+c=180

a+68.5+49.5=180

            a+118=180

                  a=62

Answer:

Step-by-step explanation:

Since it's a triangle it's interior angles sum up to 180° .

In order to find x add up all it's known interior angles and subtract it from 180° to find x.

That's

x + 68.5 + 49.5 = 180

x + 118 = 180

x = 180 - 118

We have the final answer as

Hope this helps you

Answer:

h(x-11)=-5

Step-by-step explanation:

just put the equetion from the top

h(x-11)=-5