How many degrees is 1.2 rotations counter clockwise?

Using properties of exponents, it is found that Mia's first mistake is described as follows:

Mia made a mistake in Step 3. She simplified the exponents 16 and -8 incorrectly. She should have subtracted them.

When two terms with the same base and different exponents are multiplied, we keep the base and add the exponents, as follows:

3^0 x 3^(16) = 3^(0 + 16) = 3^16.

Hence the Step 1 is correct.

For the power of power rule, we keep the base and multiply the exponents, hence:

(3^(-4))² = 3^(-4 x 2) = 3^(-8).

Hence the Step 2 is correct.

When two terms with the same base and different exponents are divided, we keep the base and subtract the exponents, as follows:

3^16/(3^(-8)) = 3^(16 - (-8)) = 3^(16 + 8) = 24.

Which is Mia's mistake, as she did not subtract the exponents.

The steps are missing and are given by the image at the end of the answer.

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The empty boxes of the numerators for the given rational expression is to be filled with 4x and 2 respectively.

Rational expression is a division of two polynomials. Which implies that the numerator and denominator of the fraction consists of polynomials.

To solve this, we will first factorise the expression of the denominator as follows;

x² - 9x + 8 = x² - 8x - x + 8

x² - 9x + 8 = x(x - 8) -1(x - 8)

x² - 9x + 8 = (x - 1)(x - 8)

Hence, we can rewrite the rational expression as:

(4x + 2)/[(x - 1)(x - 8)]

we can break the expression further by dividing each term of the numerator with the expression (x - 1)(x - 8) as follows;

(4x + 2)/[(x - 1)(x - 8] = [4x/(x - 1)(x - 8)] + [2/(x - 1)(x - 8)]

Therefore, 4x and 2 will be the appropriate values to be filled in the empty boxes equated to the rational expression.

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well, the tax is clearly $35.20 - $32 = $3.20.

now, if we take 32(origin amount) to be the 100%, what is 3.20 off of it in percentage?

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 32 & 100\\ 3.20& x \end{array} \implies \cfrac{32}{3.20}~~=~~\cfrac{100}{x} \\\\\\ 32x=320\implies x=\cfrac{320}{32}\implies x=10\)

The probability question you asked is incomplete, so I will make an assumption based on the information provided. If you are asking about the probability of selecting a clarinet or a French horn player from the school band,

we can calculate it as follows:

1. Calculate the total number of members in the band: 36.
2. Calculate the total number of clarinets: 5.
3. Calculate the total number of French horns: 2.
4. Add the number of clarinets and French horns together: 5 + 2 = 7.
5. Divide the total number of clarinets and French horns by the total number of band members: 7 / 36.
6. Simplify the fraction if needed.
  - In decimal form, the probability would be 0.1944 (rounded to four decimal places) or 19.44% (rounded to two decimal places).

The probability of selecting a clarinet or a French horn player from the school band is approximately 0.1944 or 19.44%.

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Answer:

m∠1 = 89°

Step-by-step explanation:

     Since m∠2 is a part of ∠GFH, he can do the following.

∠GFH - m∠2 = m∠1

133° - 44° = 89°

The expression that represents how much more Elena spent is $3.2 + p

An expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them. In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

here, we have,

The variable p represents the price, in dollars, per pound of cherries.

Elena buys a watermelon for $ 6.35 and 5 pounds of cherries.

So, the price of the cherries bought by Elena will be = 5*p

Then the total amount spent by Elena during her purchase of fresh fruits is:

$6.35 + 5*p

On the other hand, Tania buys a pineapple for $ 3.15 and 4 pounds of cherries. So, the price of the cherries bought by Tania will be 4*p

Therefore, the total amount spent by Tania during her purchase of fresh fruits is:

$3.15 + 4*p

You want to determine an expression to represent how much more Elena spent. That is, you want to determine the difference between the money spent by Elena and the money spent by Tania, which represents how much more Elena spent:

Total amount spent by Elena on fresh fruits - Total amount spent by Tania on fresh fruits

$6.35 + 5*p - ($3.15 + 4*p)

Solving:

$6.35 + 5*p - $3.15 - 4*p

($6.35 - $3.15) + (5*p - 4*p)

$3.2 + p

The expression that represents how much more Elena spent is $3.2 + p

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Answer: A

Step-by-step explanation:

Using binomial distribution, the probability of

a. 5 will still be with the company after 1 year is 28%.

b. at most 6 will still be with the company after 1 year is 89%.

The probability of a new employee in a fast-food chain still being with the company at the end of the year is given to be 0.6, which can be taken as the success of the experiment, p.

We are finding probability for people, thus, our sample size, n = 8.

Thus, we can show the given experiment a binomial distribution, with n = 8, and p = 0.6.

(i) We are asked for the probability that 5 will still be with the company.

Thus, we take x = 5.

P(X = 5) = (8C5)(0.6⁵)((1 - 0.6)⁸⁻⁵),

or, P(X = 5) = (56)(0.07776)(0.064),

or, P(X = 5) = 0.27869184 ≈ 0.28 or 28%.

(ii) We are asked for the probability that at most 6 will still be with the company.

Thus, our x = 6, and we need to take all values below it also.

P(X ≤ 6)

= 1 - P(X > 6)

= 1 - P(X = 7) - P(X = 8)

= 1 - (8C7)(0.6)⁷((1 - 0.6)⁸⁻⁷) - (8C8)(0.6)⁸((1 - 0.6)⁸⁻⁸)

= 1 - 8*0.0279936*0.4 - 1*0.01679616*1

= 1 - 0.08957952 - 0.01679616

= 0.89362432 ≈ 0.89 or 89%.

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The provided question is incomplete. The complete question is:

If the probability of new employee in a fast-food chain still being with the company at the end of 1 year is 0.6, what is the probability that out of 8 newly hired people,

a. 5 will still be with the company after 1 year?

b. at most 6 will still be with the company after 1 year?

Answer:

7.1%

Step-by-step explanation:

Given parameters:

Weight of Tebor  = 84kg

Weight of Tebor after losing weight = 78kg

Unknown:

Percentage decrease  =  ?

Solution:

To find the percentage decrease, determine the difference between his initial and final weight;

    Weight difference  = 84kg - 78kg  = 6kg

Percentage decrease  = \(\frac{6}{84}\) x 100 = 7.1%

Step-by-step explanation:

Weight of Tebor  = 84kg

Weight of Tebor after losing weight = 78kg

Percentage decrease  = ¿¿??

To find the percentage decrease,

determine the difference between his initial and final weight;

    Weight difference  = 84kg - 78kg  = 6kg

Percentage decrease  =

\(\rightsquigarrow\) \(\pink{\dfrac{6}{84}×100=7.1\%}\)

Answer:

5^-18

Step-by-step explanation:

here is the answer please mark me as the brainliest

Answer:

12

Step-by-step explanation:

12 × 3= 36

36 + 4= 40

so the answer is 12

Answer:

Not true with all numbers!

Step-by-step explanation:

see.Ex.3x3=9+4=13 not 40

where is the expressions?

The area to the left of z=1.07 is approximately 0.8577 (rounded to four decimal place. To find the area under the standard normal curve to the left of z = 1.07 using a TI-84 calculator.

Follow these steps:

1. Press the "2nd" button, then press "Vars" to access the "DISTR" menu.
2. Scroll down to "normalcdf(" and press "Enter".
3. Enter -99999 (or -E99) as the lower limit, since we want to find the area to the left of z = 1.07, which is very close to negative infinity.
4. Enter 1.07 as the upper limit, since we want to find the area to the left of this value.
5. Enter 0 as the mean, since we're working with the standard normal distribution.
6. Enter 1 as the standard deviation, since we're working with the standard normal distribution.
7. Press "Enter" to calculate the area.

The answer should be approximately 0.8577 when rounded to four decimal places.

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In the case of John who was hospitalized for three days, several interactions were happening simultaneously, which led to a probable diagnosis of Brucellosis. The dynamics and ramifications of these interactions prompted his mother to share the information. Samples from John were flagged for potential Brucella spp. infection, requiring precautions for lab personnel. John received treatment based on clinical diagnosis.

The following are the dynamics of these interactions and their ramifications for the participants:

1. John’s mother received a call from her brother who raised pasture-reared pigs and informed her about the diagnosis of brucellosis at his farm, which could infect people. He also reminded her that John helped pull some stillborn piglets from the birth canal of a sow experiencing difficult labor over the Thanksgiving holidays when they visited.

This information led John’s mother to be concerned about whether John could have contracted brucellosis or not, and she immediately went to find someone to give them this information.

2. John’s serum and CSF samples were collected and banked earlier, and the doctors requested a standard tube agglutination (STA) test for Brucella spp. to be run on these samples. As Brucella spp. are slow-growers, there was no growth on any culture plates streaked with CSF from John, but the STA is a quick screening test.

The diagnostic laboratory was alerted that samples from John might be infected with Brucella spp., and additional precautions should be observed to prevent laboratory personnel from becoming infected inadvertently.

3. Based on the additional history and clinical presentation, a probable diagnosis of brucellosis was made, and John started treatment with a combination of three antibiotics demonstrated to be efficacious against Brucella spp. However, the antibiotics were not identified.

The ramifications of these interactions for the participants are that John's family members were alerted about a possible infection, diagnostic laboratory personnel were informed about a potential biohazard, and John received treatment for brucellosis.

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Answer:

add

subtract

multiply

Step-by-step explanation:

Answer:

The answer is 0.12

Answer:0.12

Step-by-step explanation:

Please brainliest! :D

The volume of the single crayon is 89.5 cm³, then the total volume of the crayons will be 2148 cm³. Then the correct option is D.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A Crayon is shown here.

There are 24 crayons in a box.

The approximate total volume of the crayons will be

Total Volume of crayons = 24 × volume of the single crayon

The crayon is the combination of the cone and the cylinder

Then the volume of the single crayon (V₁) will be

\(\rm V_1 = \left ( \dfrac{1}{3} \times \pi \times r^2 \times h \right ) + \left ( \pi \times r^2 \times h \right )\\\\\rm V_1 = \left ( \dfrac{1}{3} \times \pi \times 1.5^2 \times 2 \right ) + \left ( \pi \times 1.5^2 \times 12 \right )\\\\V_1 = 4.712 + 84.82\\\\V_1 = 89.535 \approx 89.5\)

Then the Total volume will be

Total volume = 24 × 89.5

Total volume = 2148 cm³

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Answer: z = \(\sqrt{10}\)

Step-by-step explanation:

To find z, you must set up a proportion to solve.

To find the altitude of a special right triangle, the formula is:

\(\frac{a}{x} =\frac{x}{b}\)

You can use 5 as a and 2 as b to complete the proportion:

\(\frac{5}{z} =\frac{z}{2}\)

Next, to solve:

Step 1: Cross-multiply.

\(\frac{5}{z} =\frac{z}{2}\)

(5)*(2) = z*z

10 = z²

Step 2: Take square root.

10 = z²

√10 = z

I hope this helps!

Here's the solution,

The given triangle is an equilateral triangle, because it's all angles measure 60° each

now,

Area of an equilateral triangle :

=》

\( \dfrac{ \sqrt{3} }{4} {a}^{2} \)

where,

=》

\( \dfrac{ \sqrt{3} }{4} \times 8 \times 8\)

=》

\( \sqrt{3} \times 16\)

=》

\(16 \sqrt{3} \: \: \: cm {}^{2} \)

or

=》

\(27.71 \: \: cm {}^{2} \)

Answer:WAIT HE IS TELLING THE TIME

Step-by-step explanation:

Answer:

Step-by-step explanation:

Profit, P(x), is the difference between revenue, R(x), and cost, C(x)

R(x) = 2x^4 - 3x^3 + 2x - 1

C(x) = x^4 -x^2 + 2x + 3

Substituting into the equation

P(x) = R(x) - C(x)

= (2x^4 - 3x^3 + 2x - 1) - (x^4 -x^2 + 2x + 3)

= x^4 - 3x^3 + x^2 - 4

The answer is the lower left option.

Answer:

\(P(x)=x^4-3x^3+x^2-4\)

(This is the option found in the lower-left corner)

Step-by-step explanation:

When given the following functions,

\(R(x)=2x^4-3x^3+2x-1\)

\(C(x)=x^4-x^2+2x+3\)

The problem asks one to find (\(P(x)\)), moreover, one is given the following information,

\((P(x))=(R(x))-(C(x))\)

Substitute,

\(P(x)=(2x^4-3x^3+2x-1)-(x^4-x^2+2x+3)\)

Simplify, multiply everything in the second parenthesis by the negative sign outside of it,

\(P(x)=2x^4-3x^3+2x-1-x^4+x^2-2x-3\)

Combine like terms, only operations between coefficients of the same variable with the same degree (exponent) can be performed,

\(P(x)=x^4-3x^3+x^2-4\)

In Luther v. Borden, 1849, it is true that the Supreme Court abdicated its role in clarifying whether the people had the right to abolish their state governments. The great statesman Daniel Webster argued that people do indeed possess the right to overthrow their government.

Luther v. Borden, 1849 was a United States Supreme Court case that decided whether the court should intervene in a political question, specifically the Rhode Island Dorr Rebellion of 1841 to 1842. In this case, the court declined to do so and ruled that the authority to decide whether a rebellion against a state government exists or not, rests solely with the United States government. The Court refused to support either side in the rebellion and thus upheld the lower court's decision.

The decision is well-known for declaring that the federal government must guarantee a "republican form of government" in the states. In this context, Webster argued that people possess the right to overthrow their government as they possess the ultimate sovereignty. True.

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Answer:

16

Step-by-step explanation:

112 (miles) / 7 (days) = 16 (miles per day)

Answer:

16 miles each day

Step-by-step explanation:

1 week = 7 days

Ratios:

\(\frac{112}{7} =\frac{x}{1} \\\\7x=112\\x=16\)

Answer:

The solution is x < 3. To represent that on a number line, you'd have an open (not filled in) circle on 3 and shading to the left.

Step-by-step explanation:

You would only have a closed (solid/filled in) circle if the inequality had a ≤

Answer:

A $10 deposit followed by a $60 withdrawal

Step-by-step explanation:

The 10 is positive, so it would represent a deposit, and the 60 is negative, so it would represent a withdrawal.

Answer:

36.166

Step-by-step explanation: