2.1 is what percent of 37?
O 1493.#%
O 1761.9%
O 5.7%
0 0.06%

20x + 1 = 720

20x = 719

x = 35.95

Your answer: 35.95

Proof:

(5(35.95))+(35.95-10)+(3(35.95)+5)+(2(35.95)-2)+(5(35.95)+6)+(4(35.95)+2) = 720

9514 1404 393

Answer:

  7^5 = 16,807

Step-by-step explanation:

The applicable rule of exponents is ...

  (a^b)(a^c) = a^(b+c)

__

Here, we have a=7, b=2, c=3, so ...

  (7^2)(7^3) = 7^(2+3) = 7^5 = 16,807

Answer:

400 ounces

Step-by-step explanation:

x pound(s) = (16*x) ounces

25 pounds=(16*25) ounces

25 pounds= 400 ounces

400 ounces of quarters were stolen.

Given,

The robber stole only 25 pounds of quarters out of the coin machine. Quarters are weighed in ounces.

If there are 16 ounces in 1 pound.

We need to find out how many ounces of quarters were stolen.

16 ounces = 1 pound

Find how many pounds of quarters were stolen.

= 25 pounds of quarters.

Convert 25 pounds of quarters into ounces of quarters.

1 pound = 16 ounces

Multiplying 25 on both sides.

25 x 1 pound = 25 x 16 ounces.

25 pounds = 400 ounces.

This means 25 pounds of quarters is 400 ounces of quarters.

Thus 400 ounces of quarters were stolen.

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The another equivalent expression of total liquid is (x+2)/4.

Expressions that perform similarly but differ in appearance are said to be equivalent expressions. When the same value for the variable is entered, two algebraic expressions that are equivalent will have the same result.

x quarts liquid in the container 3/4 part of liquid is removed

Then remaining liquid in container = X - \(\frac{3}{4}X\)

Then remaining liquid in container = x/4quarts

Another 1/2 quart is poured into container

Then total liquid = \(X-\frac{3}{4}X+\frac{1}{2}\) quarts

total liquid = \(\frac{X+2}{4}\) quarts

So, then the another equivalent expression of total liquid is (x+2)/4.

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Answer:

D.? confused

Step-by-step explanation:

Q: Which decimal is greater than 0.15 and less than 0.7?

 A. 0.81

 B. 0.56

 C. 0.76

 D. 0.005                                                                                                                                                  A: I think it is B. and I think it is not D.

claim:- on average the machine is filled toothpaste tube is not equal to 5.8 ounces.

Hypothesis:-

\(H_{0}\): ∪= 5.8     vs    \(H_{1}\) :∪≠5.8

\(H_{0}\): The machine fills toothpaste with an average of 5.8 ounces.

\(H_{1}\):  The machine fills toothpaste with an average of not 5.8 ounces.

An explanation for a phenomenon is offered in the form of a hypothesis, or hypotheses. According to the scientific method, a hypothesis must be testable in order to qualify as a scientific hypothesis. Typically, scientists base their hypotheses on prior observations that leave room for doubt on the validity of the existing body of knowledge. A scientific theory is different from a scientific hypothesis, even though the terms "hypothesis" and "theory" are frequently used interchangeably. An educated guess or a notion is the starting point for a working hypothesis, which is an acknowledged hypothesis that is offered for further study.

In formal logic, the term "hypothesis" is used in a distinct sense to refer to the antecedent of a proposition; in the statement "If P, then Q," P refers to the hypothesis (or antecedent), and Q can be thought of as the consequent. In a (potentially counterfactual) What If inquiry, P is the underlying presumption.

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Let X be the number of fixed points of a random permutation of n elements. A fixed point is an element that remains in the same position after the permutation. Thus, the probability that an element is fixed is 1/n, and the probability that it is not fixed is (n-1)/n.

Using the linearity of the expected value, we can calculate the expected value of X as:

E(X) = E(X1 + X2 + ... + Xn) = E(X1) + E(X2) + ... + E(Xn)

where Xi is the indicator random variable that is equal to 1 if the i-th element is fixed and 0 otherwise. Since the probability of an element being fixed is 1/n, we have E(Xi) = 1/n. Therefore,

E(X) = n * (1/n) = 1

To find the variance of X, we need to compute E(X^2) - E(X)^2. We can use the fact that X^2 = X1 + X2 + ... + Xn, where Xi is the indicator random variable that is equal to 1 if the i-th and j-th elements are both fixed and 0 otherwise. Then,

E(X^2) = E(X1 + X2 + ... + Xn)^2 = E(X1^2 + X2^2 + ... + Xn^2) + 2 E(X1X2 + X1X3 + ... + X(n-1)n)

Since there is only one way to fix two elements out of n, we have E(XiXj) = 1/(n(n-1)). Therefore,

E(X^2) = n * (1/n) + n(n-1) * (1/(n(n-1))) = 1 + 1/n

Finally, the variance of X is

Var(X) = E(X^2) - E(X)^2 = 1 + 1/n - 1^2 = 1/n

Therefore, the variance of the number of fixed elements of a randomly selected permutation of n elements is 1/n.

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Step-by-step explanation:

If \(\tt{ f(x)=x^2+5 }\) ⠀

Then,

\(\tt{f(-3)=(-3)^2+5 }\) ⠀

\(\tt{f(-3)=9+5 }\) ⠀

\(\tt{f(-3)=15 }\) ⠀

Answer:

whatever 56/6 is. hold on rq. i think it's 9. x equals 9 x=9

The problem can be rewritten as the sine of the difference of these two angles. Two common angles that either add up to or differ by 195° are 75° and 120°.

To find two common angles that either add up to or differ by 195°, we can look for angles that have a difference of 195° or a sum of 195°. One possible pair of angles is 75° and 120°, as their difference is 45° (120° - 75° = 45°) and their sum is 195° (75° + 120° = 195°).

The problem can be rewritten as the sine of the difference of these two angles, which is sin(120° - 75°).


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Answer:

  c. $350.24, the april balance plus the late fee

Step-by-step explanation:

You want to know the required total payment when the balance being repaid is $325.24 and a late fee of $25 is charged.

Arthur must pay both the balance due and the late fee. The total amount he must pay is ...

  balance + late fee = $325.24 +25.00 = $350.24

The area of one lateral face of the triangular prism could be 20 ft².

a prism is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy of the first base, and n other faces, necessarily all parallelograms, joining corresponding sides of the two bases.

Since the base of the prism is triangular so there will be three lateral faces.

Dimensions of rectangular lateral faces are:

1)8 feet by 2.5 feet

2)8 feet by 6 feet

3) 8 feet by 6. 5 feet

Area of the lateral face with dimension 8 feet by 2.5 feet = 8*2.5 =20 ft²

Area of the lateral face with dimension 8 feet by 6 feet = 8*6 =48 ft²

Area of the lateral face with dimension 8 feet by 6.5 feet = 8*6.5 =51 ft²

Therefore, the area of one lateral face of the triangular prism could be 20 ft².

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Answer:

3

Step-by-step explanation:

Answer:

75.4

Step-by-step explanation:

All angles in a triangle should equal 180, so the lil dash on K's side means angle K is the same as J

so 52.3+52.3=104.6

and 180-104.6 is 75.4

hope i helped and feel free to ask questions

The strongest linear relationship is indicated by a correlation coefficient of -1 or 1. The weakest linear relationship is indicated by a correlation coefficient equal to 0. A positive correlation means that if one variable gets bigger, the other variable tends to get bigger.

Now, According to the question:

The relationship between two variables is generally considered strong when their r value is larger than 0.7. The correlation r measures the strength of the linear relationship between two quantitative variables. Pearson r: r is always a number between -1 and 1.

The magnitude of the correlation coefficient indicates the strength of the association. For example, a correlation of r = 0.9 suggests a strong, positive association between two variables, whereas a correlation of r = -0.2 suggest a weak, negative association.

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Answer:

0.4

Step-by-step explanation:

how many minutes are in 4 miles

Answer:

I believe it’s C. 2.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

9x - 3x

[When like terms are combined then as per statement they get subtracted]

= 6x (Ans)

The tangential component of the acceleration vector is (4sin(t)cos(t)^3) / sqrt(64 + 8sin^2(t)cos^2(t)), and the normal component is -2cos^2(t) + 2sin^2(t) j + 2cos^2(t) k - (4sin(t)cos(t)^3 / sqrt(64 + 8sin^2(t)cos^2(t))) v(t).

To find the tangential and normal components of the acceleration vector, we first need to determine the velocity and acceleration vectors.

Given the position vector r(t) = 8t i + cos^2(t) j + sin^2(t) k, we can find the velocity vector v(t) by taking the derivative with respect to time:

v(t) = dr(t)/dt = 8i - 2sin(t)cos(t) j + 2sin(t)cos(t) k.

Next, we differentiate the velocity vector to find the acceleration vector a(t):

a(t) = dv(t)/dt = 0i - 2cos^2(t) + 2sin^2(t) j + 2cos^2(t) k.

Now, we can decompose the acceleration vector into its tangential and normal components.

The tangential component of acceleration, aT, is the component of acceleration in the direction of the velocity vector. It is given by the projection of the acceleration vector onto the velocity vector. We can find it using the formula:

aT = (a · v) / ||v||,

where "·" represents the dot product and "||v||" represents the magnitude of the velocity vector.

The normal component of acceleration, aN, is the component of acceleration perpendicular to the velocity vector. It is given by the substraction of the tangential component from the acceleration vector:

aN = a - aT.

Let's calculate the tangential and normal components of the acceleration vector.

Magnitude of the velocity vector:
||v|| = sqrt((8)^2 + (-2sin(t)cos(t))^2 + (2sin(t)cos(t))^2)
= sqrt(64 + 4sin^2(t)cos^2(t) + 4sin^2(t)cos^2(t))
= sqrt(64 + 8sin^2(t)cos^2(t)).

Dot product of acceleration and velocity vectors:
a · v = (0)(8) + (-2cos^2(t) + 2sin^2(t))(0) + (2cos^2(t))(2sin(t)cos(t))
= 0 + 0 + 4sin(t)cos(t)^3.

Tangential component of acceleration:
aT= (a · v) / ||v||
= (4sin(t)cos(t)^3) / sqrt(64 + 8sin^2(t)cos^2(t)).

Normal component of acceleration:
aN = a - aT
= -2cos^2(t) + 2sin^2(t) j + 2cos^2(t) k - (4sin(t)cos(t)^3 / sqrt(64 + 8sin^2(t)cos^2(t))) v(t).

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Answer:

1004 is the correct awnser

Step-by-step explanation:

pls give me brainliest

Answer:

1004

Step-by-step explanation:

one thousand  = 1000

four = 4

1000+4 =1004

Answer:

Step-by-step explanation:

p=x(1-15/100)

p=x(100-15)/100

p=x(85/100)

p=0.85x

Cost of admission for a group of 2 people = 80 dollars

Admission fee for one person = 40 dollars.

Let 'c' be the cost (in dollars) of admission for a group of people, 'p'.

The function modelling this situation is given by, c(p) = 40p

This is an example for linear function modelling in real life situations.

To find the cost of admission for a group of 2 people , substitute p = 2 in c(p).

That is , c(2) = 40 x 2 = 80 dollars.

So the cost of admission for a group of 2 people = 80 dollars.

The question is incomplete. Find the complete question below:

An amusement park charges an admission fee of 40 dollars per person. The cost, C (in dollars), of admission for a group of P people is given by the following. C=40p What is the cost of admission for a group of 2 people?

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Answer:

146

Step-by-step explanation:

72+4(33+2)−19

=49+4(33+2)−19

=49+4(27+2)−19

=49+(4)(29)−19

=49+116−19

=165−19

=146

Answer:

Step-by-step explanation:

800-160=640

640/800=64/80

64/80=16/20

16/20=4/5

Answer=4/5

The fraction of his original money does he have left = 4/5 .

What is a fraction in math?

A boy has = 800 and spends = 160

800-160=640

640/800=64/80

64/80=16/20

16/20=4/5

Therefore, his original money left =4/5

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Answer:

397.4409406

Step-by-step explanation:

Alright lets take a look at the amount of Red Admiral and Monarch Butterflies there are.

Red Admiral: 4,142,887 per cubic inch

Monarch Butterflies: 2,393,646 per cubic inch

(((4,142,887)(2,393,646))^2) ^.1 =

397.4409406

\(216 {y}^{9} \)

Option B is the correct answer

Hi there! :)

Answer:

Choice D. (y - 4) = 3(x + 2)

Step-by-step explanation:

An equation in point-slope form is:

(y - y1) = m(x - x1)

Where:

y1 = y-coordinate of a point

m = slope

x1 = x-coordinate of a point

In this instance, the point given is (-2, 4) with a slope of 3. Therefore, the equation in point-slope form would be Choice D. (y - 4) = 3(x + 2)

Answer:

Step-by-step explanation:

answer is C

Because formula of equation of slop is

Y-y1=m(x-x1)

Currently, the Earth is facing a sixth mass extinction event, which is primarily caused by human activity, including habitat destruction, overhunting, and climate change.

The Earth has undergone several mass extinction events over the last 4.6 billion years. The precise number of mass extinctions is still under discussion, and estimates vary.

There have been five major mass extinction events in the last 4.6 billion years of Earth's history. The first mass extinction event occurred during the Ordovician period (443 million years ago), and the most recent occurred at the end of the Cretaceous period (66 million years ago).

It is believed that these mass extinction events were caused by natural phenomena such as volcanic eruptions, asteroid impacts, and climate change, as well as human activities like deforestation and pollution.The most well-known mass extinction event was the one that wiped out the dinosaurs at the end of the Cretaceous period.

However, mass extinction events are not just ancient history.

Currently, the Earth is facing a sixth mass extinction event, which is primarily caused by human activity, including habitat destruction, overhunting, and climate change.

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To evaluate this integral, we can use appropriate trigonometric identities and techniques of integration. However, the calculation becomes quite involved and may not be suitable for a text-based response.

Therefore, I would recommend using numerical methods or a computational tool to approximate the value of the integral and find the length of the curve.

The length of the curve can be found using the arc length formula for polar curves. Given the equation r = cos(8θ), we can determine the length of the curve over a certain interval by integrating the expression √(r^2 + (dr/dθ)^2) with respect to θ.

In this case, we need to find the length of the curve for θ ranging from 0 to 2π. The integral becomes:

L = ∫[0 to 2π] √(cos^2(8θ) + (d/dθ(cos(8θ)))^2) dθ

Simplifying the expression inside the square root, we have:

L = ∫[0 to 2π] √(cos^2(8θ) + (-8sin(8θ))^2) dθ

L = ∫[0 to 2π] √(cos^2(8θ) + 64sin^2(8θ)) dθ

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In an ANOVA question, the option that is not a required assumption is (a) equal sample sizes. ANOVA assumes normality, homogeneity of variance, and independence of observations for accurate results.

The option that is not a required assumption for an ANOVA question is d) independence of observations. ANOVA (Analysis of Variance) is a statistical test used to compare the means of two or more groups. The assumptions of ANOVA include normality (the data follows a normal distribution), homogeneity of variance (the variances of the groups being compared are equal), and equal sample sizes (the number of observations in each group is the same). However, independence of observations is not a required assumption for ANOVA, although it is a desirable one. This means that the observations in each group should not be related to each other, and there should be no correlation between the groups being compared. However, it is robust to unequal sample sizes, especially when the variances across groups are similar, though equal sample sizes can improve statistical power.

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The alternate hypothesis that indicates the mean of the x2 population is smaller than that of the x1 population is H1: μ2 < μ1, which can be tested using a two-sample t-test.

When conducting a test for the difference of means for two independent populations x1 and x2, the alternate hypothesis that would indicate that the mean of the x2 population is smaller than that of the x1 population is:

H1: μ2 < μ1

Where H1 represents the alternate hypothesis, μ1 represents the mean of population x1, and μ2 represents the mean of population x2. The symbol "<" indicates that the mean of population x2 is smaller than the mean of population x1.

In other words, this alternate hypothesis states that there is a significant difference between the means of the two populations, with the mean of population x2 being lower than the mean of population x1. This hypothesis can be tested using a two-sample t-test, where the null hypothesis assumes that there is no significant difference between the means of the two populations.

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The productivity of the truck in bank measure is most nearly 32.3 (option C).

To calculate the productivity of the truck in bank measure, we need to convert the loose density to bank density. Bank measure refers to the volume of material when it is compacted or in its natural state, while loose measure refers to the volume of material when it is loose or not compacted.

The formula to convert loose density to bank density is as follows:

Bank Density = Loose Density / (1 + Moisture Content)

Since the moisture content is not provided in the question, we assume it to be zero for simplicity. Therefore, the bank density is equal to the loose density.

Next, we need to calculate the truck's productivity in bank measure. The formula for productivity is:

Productivity = Truck Capacity / Cycle Time

However, the truck capacity and cycle time are not provided in the question. Therefore, we cannot directly calculate the productivity.

Given that we have the specifications of the truck's density, we can make an estimation based on industry standards. A common truck capacity for earth hauling is around 20 cubic yards. The cycle time can vary depending on factors such as loading and dumping time, travel distance, and road conditions. For estimation purposes, let's assume a cycle time of 30 minutes (0.5 hours).

Using these values, we can calculate the productivity as follows:

Productivity = Truck Capacity / Cycle Time

Productivity = 20 / 0.5

Productivity = 40 cubic yards per hour

However, the productivity is measured in bank measure (yd³/hr), so we need to adjust the result based on the bank density.

Adjusted Productivity = Productivity * (Loose Density / Bank Density)

Adjusted Productivity = 40 * (100 / 110)

Adjusted Productivity ≈ 32.3 cubic yards per hour (bank measure)

Therefore, the productivity of the truck in bank measure is most nearly 32.3 (option C).

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