While on a walk in the country you pass a field full of horses and geese after a quick count you determine there are 30 heads and 82 feet in the field how many of each animal are there?

Answer:

triangle XYZ is similar to triangle RPQ

scale factor = 2/5

Step-by-step explanation:

Angles X and R are given as congruent.

Angles Z and Q are right angles, so they are congruent.

Then, angles Y and P must be congruent.

The similarity statement is

triangle XYZ is similar to triangle RPQ

To find the scale factor, divide the length of a side of the image by the length of the corresponding side in the original.

10/25 = 2/5

The scale factor is 2/5.

:

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On dividing the exponents, .

How to divide exponents?

To divide them, you take the exponent value in the numerator (the top exponent) and subtract the exponent value of the denominator (the bottom exponen.

Answer:

30: 100

31: -13

32: -45

33: 14

34: -32

35: -22

36: 17

Answer:

40

Step-by-step explanation:

1. multiply all terms by the same value to eliminate fraction denominators (n times 5/8 = n times 25/n)

2. cancel multiplied terms that are in the denominator (n times 5/8 = 25

3.re order terms so constants are on the left (5/8n =25)

4. combine multiplied terms into a single fraction (5n/8 = 25)

5. multiply all terms by the same value to eliminate fraction denominators (8 times 5n/8 = 8 times 25)

6. cancel multiplied terms that are in the denominator (5n=8 times 25)

7. multiply the numbers (5n = 8 times 25 5n= 200)

8. simplify (n=40)

Answer:

you can get answer by verified people, maybe?js sayin (a suggestion)

Step-by-step explanation:

The present value (PV) of the investment today is approximately $2,965.05.

To find the present value (PV) of the investment today, we need to calculate the present value of each individual contribution and then sum them up. We can use the formula for the present value of an annuity to do this calculation.

The formula for the present value of an annuity is given by:

PV = C * [(1 - (1 + r)^(-n)) / r]

Where:

PV = Present Value

C = Cash flow per period

r = Interest rate per period

n = Number of periods

In this case, the cash flow per period (C) is $500, the interest rate per period (r) is 10.5% (or 0.105), and the number of periods (n) is 20 years.

Let's plug in these values into the formula and calculate the present value (PV):

PV = $500 * [(1 - (1 + 0.105)^(-20)) / 0.105]

Using a calculator, we can evaluate the expression inside the brackets:

PV = $500 * [(1 - 0.376889) / 0.105]

Simplifying further:

PV = $500 * [0.623111 / 0.105]

PV = $500 * 5.930105

PV = $2,965.05

Therefore, the present value (PV) of the investment today is approximately $2,965.05.

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HAPPY NEW YEAR:)

not only today

always be fun and creative

Answer:

2000+21=2021

its a very cool thing u got inur mind!!

Answer:

no because it is not linear

Step-by-step explanation:

Answer:

A) \(x=-1\pm\sqrt{\frac{13}{6}}\)

Step-by-step explanation:

\(\displaystyle x=\frac{-12\pm\sqrt{12^2-4(6)(-7)}}{2(6)}\\\\x=\frac{-12\pm\sqrt{144+168}}{12}\\\\x=\frac{-12\pm\sqrt{312}}{12}\\\\x=\frac{-12\pm2\sqrt{78}}{12}\\\\x=-1\pm\frac{\sqrt{78}}{6}\\\\x=-1\pm\sqrt{\frac{78}{36}}\\\\x=-1\pm\sqrt{\frac{13}{6}}\)

Answer:

The common difference in the given sequence is 5.

Step-by-step explanation:

The common difference in the sequence is 5 because they all add by 5 each time for example 5 + 5= 10 and 10+5=15

Answer:

3x

Step-by-step explanation:

When the equation is like this and they both are being multiplied by x you can just add the coefficients

x+2x

1x+2x

3x

Hopes this helps please mark brainliest

Hello..!

\( \sf{x + 2x = 3x}\)

It is known that in similar terms "x" is an unknown quantity and that in this problem "x" is 1 and that we only have to add it to 2:

\( \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf2 + 1 = 3\)

So the result is 3x

Answer:

0, 1, 2.

Step-by-step explanation:

'Whole numbers' are the numbers we use for counting items, for example we can have 0 apples, or 2 cars. 0 is a whole number because its a non-negative integer (technically 0 isn't negative or positive), and counting up from there gives us 0, 1, and 2.

Answer:

B.  -414,720 x⁷y⁶

Step-by-step explanation:

To find the 4th term of the expansion of (2x - 3y²)¹⁰, we can use the binomial theorem.

The binomial theorem states that for an expression of the form (a + b)ⁿ:

\(\displaystyle (a+b)^n=\binom{n}{0}a^{n-0}b^0+\binom{n}{1}a^{n-1}b^1+...+\binom{n}{r}a^{n-r}b^r+...+\binom{n}{n}a^{n-n}b^n\\\\\\\textsf{where }\displaystyle \rm \binom{n}{r} \: = \:^{n}C_{r} = \frac{n!}{r!(n-r)!}\)

For the expression (2x - 3y²)¹⁰:

Therefore, each term in the expression can be calculated using:

\(\displaystyle \boxed{\binom{n}{r}(2x)^{10-r}(-3y^2)^r}\quad \textsf{where $r = 0$ is the first term.}\)

The 4th term is when r = 3. Therefore:

\(\begin{aligned}\displaystyle &\;\;\;\;\:\binom{10}{3}(2x)^{10-3}(-3y^2)^3\\\\&=\frac{10!}{3!(10-3)!}(2x)^7(-3y^2)^3\\\\&=\frac{10!}{3!\:7!}\cdot2^7x^7(-3)^3y^6\\\\&=120\cdot 128x^7 \cdot (-27)y^6\\\\&=-414720\:x^7y^6\\\\ \end{aligned}\)

So the 4th term of the given expansion is:

\(\boxed{-414720\:x^7y^6}\)

Answer:

Farmer John made 4 cobblers.

Step-by-step explanation:

In order to figure out how many cobblers he made, you have to find x. The equation would be x=24÷6. 24 divided by 6 is 4, so x=4.

The amount of pizza that they eat altogether will be 7/6 pizza out of 2 pizzas.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas. This approach is used to answer the problem correctly and completely.

Jada and Han request two indistinguishable pizzas. Jada ate 1/2 of hers and Han ate 2/3 of his.

The amount of pizza that they eat altogether will be given as,

⇒ 2/3 + 1/2

Add the fraction, then we have

⇒ 2/3 + 1/2

⇒ (4 + 3) / 6

⇒ 7 / 6

The amount of pizza that they eat by and large will be 7/6 pizza out of 2 pizzas.

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(a) The probability that one of the two parachutes deploys is 0.998.

(b) The probability that the backup parachutes deploys is 0.038.

a. The probability that one of the two parachutes deploys is the sum of the probability that the main chute deploys and the probability that the backup chute deploys, minus the probability that both chutes deploy.

This can be represented by the formula:

P(one of the two parachutes deploys) = P(main chute deploys) + P(backup chute deploys) - P(both chutes deploy)

P(one of the two parachutes deploys) = 0.96 + 0.95 - (0.96)(0.95)

P(one of the two parachutes deploys) = 1.91 - 0.912

P(one of the two parachutes deploys) = 0.998

Therefore, the chance that one of the two parachutes will deploy is 0.998.

b. The probability that the backup parachute deploys is the probability that the main chute fails to deploy multiplied by the probability that the backup chute deploys.

This can be represented by the formula:

P(backup chute deploys) = P(main chute fails to deploy) x P(backup chute deploys)

P(backup chute deploys) = (1 - 0.96)(0.95)

P(backup chute deploys) = 0.04(0.95)

P(backup chute deploys) = 0.038

Therefore, the chance that the backup parachute will deploy is 0.038.

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Answer:

x = 9

Step-by-step explanation:

To solve the equation 2x - 7 + 3x = 4x + 2 for x, you can follow these steps:

Combine like terms on both sides of the equation. Add the x terms together and move the constant terms to one side of the equation:

2x + 3x - 4x = 2 + 7

Simplifying the left side: x = 9

Simplify the right side of the equation:

x = 9

Therefore, the solution to the equation is x = 9.

9514 1404 393

Answer:

  (b)  Transitive property of congruence

Step-by-step explanation:

The relations involved are all congruence relations, eliminating choices A and C.

The symmetric property tells you ...

  if A ≅ B, then B ≅ A

It is not applicable in this case.

__

The applicable property is the transitive property of congruence:

  if A ≅ B and B ≅ C, then A ≅ C.

_____

Additional comment

This is similar to, but distinct from, the substitution property of congruence:

  if A ≅ B and A ≅ C, then B ≅ C.

Answer:

Transitive property of congruence

Step-by-step explanation:

Here

Hence

Option B

Answer:

see below

Step-by-step explanation:

Part A:  (72)^x = 1

Take the log base 72 of each side

log72(72^x) = log 72(1)

We know log a^b = b log a

x log72(72) = log72(1)

x =  log72(1)

x = 0

Part A:  (70)^x = 1

Take the log base 70 of each side

log70(70^x) = log70(1)

We know log a^b = b log a

x log70(70) = log70(1)

x =  log70(1)

x = 0

Answer:

15.19 cm

Step-by-step explanation:

Answer: you can maybe show them being trapped in the bathroom them come in with a sharp knife and splash or put ketchup on the part you stabbbed them

Step-by-step explanation:

Answer:

Step-by-step explanation:

if a and b are complementary angles,then  a + b =90

44+b=90

∠b=90-44=46°

Answer:

46

Step-by-step explanation:

if a and b are complementary angles,then  a + b =90

44+b=90

∠b=90-44=46°

Answer: 3 Rounds

Step-by-step explanation:

(2.5-.25)/.75=3

Answer: None of the choices is correct.

6,714÷103 is about 65.184

Step-by-step explanation:

The closest answer is the second choice. But there must be a typo in the question.

6,714÷100 = 67.14

I hope this helps. You might be able to ask your teacher about the mistake in the question.

Answer:

N+10=46

Step-by-step explanation:

This is the translateion of the worded problem.

Answer:

x=6

Step-by-step explanation:

subtract the 2x from 4x and add 3 to 9. we would get 2x=12. divide by 2 on both sides and you get x=6!

Answer:

a) By the Central Limit Theorem, it has an approximately normal shape, with mean(center) 0.9 and standard deviation(spread) 0.035.

b) Average numbers of children between 0.83 and 0.97 are reasonably likely in the sample.

c) 0.0021 = 0.21% probability that the average number of children per family in the sample will be 0.8 or less

d) 0.9958 = 99.58% probability that the average number of children per family in the sample will be between 0.8 and 1.0

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean 0.9 and standard deviation 1.1.

This means that \(\mu = 0.9, \sigma = 1.1\)

Suppose a television network selects a random sample of 1000 families in the United States for a survey on TV viewing habits.

This means that \(n = 1000, s = \frac{1.1}{\sqrt{1000}} = 0.035\)

a. Describe (as shape, center and spread) the sampling distribution of the possible values of the average number of children per family.

By the Central Limit Theorem, it has an approximately normal shape, with mean(center) 0.9 and standard deviation(spread) 0.035.

b. What average numbers of children are reasonably likely in the sample?

By the Empirical Rule, 95% of the sample is within 2 standard deviations of the mean, so:

0.9 - 2*0.035 = 0.83

0.9 + 2*0.035 =  0.97

Average numbers of children between 0.83 and 0.97 are reasonably likely in the sample.

c. What is the probability that the average number of children per family in the sample will be 0.8 or less?

This is the p-value of Z when X = 0.8. So

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{0.8 - 0.9}{0.035}\)

\(Z = -2.86\)

\(Z = -2.86\) has a p-value of 0.0021

0.0021 = 0.21% probability that the average number of children per family in the sample will be 0.8 or less.

d. What is the probability that the average number of children per family in the sample will be between 0.8 and 1.0?

p-value of Z when X = 1 subtracted by the p-value of Z when X = 0.8.

X = 1

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{1 - 0.9}{0.035}\)

\(Z = 2.86\)

\(Z = 2.86\) has a p-value of 0.9979

X = 0.8

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{0.8 - 0.9}{0.035}\)

\(Z = -2.86\)

\(Z = -2.86\) has a p-value of 0.0021

0.9979 - 0.0021 = 0.9958

0.9958 = 99.58% probability that the average number of children per family in the sample will be between 0.8 and 1.0