What’s are the answers for both?

Answer:

I believe it would be 3n^2 (last option)

Step-by-step explanation:

By definition;

monomial- one term

coefficient- the number in front of a variable

(in this case, without the squared power, it would look something along the lines of "3n", where the 3 is the coefficient and the "n" is the variable.)

sooooooo,

even without the "2nd degree" we can just use the system of elimination and cross out the answers that don't consist of one number, and that don't have a coefficient of 3.

I hope this answer was helpful, please let me know if you got it correct. :)

Answer:

B) \(\$8395.80\)

Step-by-step explanation:

\(A=P(1+rt)\\A=7996(1+0.06\cdot\frac{10}{12})\\A=7996(1+0.05)\\A=7996(1.05)\\A=\$8395.80\)

This is all assuming that r=6% is an annual rate, making t=10/12 years

The correct logarithm form is: a. log5 125 = 3

Question is about finding the logarithm form of 5³ = 125 using the given options.

The correct logarithm form is:

a. log5 125 = 3

Here's the step-by-step explanation:

1. The exponential form is given as 5³= 125.
2. To convert it to logarithm form, you have to express it as log(base) (argument) = exponent.
3. In this case, the base is 5, the argument is 125, and the exponent is 3.
4. Therefore, the logarithm form is log5 125 = 3.

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Answer:

100meter per hour

Step-by-step explanation:

When a 6-sided die is rolled, P(3 or 5) is equal to B. 1/3.

A 6-sided die has six possible outcomes: 1, 2, 3, 4, 5, and 6. To find P(3 or 5) or the probability of rolling a 3 or a 5, we need to add the probabilities of rolling each of those numbers separately and then subtract the probability of rolling both numbers (3 and 5) at the same time to avoid overcounting.

The probability of rolling a specific number on a fair die is 1/6, since there are 6 possible outcomes.

So, P(rolling a 3) = 1/6 and P(rolling a 5) = 1/6

P(3 or 5) = P(rolling a 3) + P(rolling a 5) - P(rolling 3 and 5) = 1/6 + 1/6 - 0 (since rolling 3 and 5 is not possible)

= 2/6 = 1/3

Therefore, the probability of rolling 3 or 5 on a fair 6 sided die is 1/3.

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Answer:

43.75

Step-by-step explanation:

Answer:

6 and 4

Step-by-step explanation:

Let the two numbers be x and y.

The sum of two number is 10: x+y=10

Their difference is 2.: x-y=2

Solve simultaneously by adding

2x=12

x=6

Recall:

x-y=2

6-y=2

y=6-2

y=4

The multiplicative inverse for √2-i = 1/(√2+1) and  The multiplicative inverse is √2+1 = 1/(√2-1)

Given Data

For√2+i

the real part is  is √2 and the imaginary part is i

The multiplicative inverse is √2+1 = 1/(√2-1)

rationalising the denominator we have

= 1/√2-1 * √2-1/√2-1

= √2-1/(√2-1)*(√2-1)

= √2-1/(2-√2-√2+1)

= √2-1/(-2√2+3)

For√2-i

the real part is  is √2 and the imaginary part is -i

The multiplicative inverse is √2-1 = 1/(√2+1)

Rationalising the denominator we have

= 1/√2+1 * √2+1/√2+1

= √2+1/(√2+1)*(√2+1)

= √2+1/(2+√2+√2+1)

= √2+1/(2√2+3)

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\(1+(0.2)^2=1+0.04=\boxed{1.04}\)

Answer:

1.44

Step-by-step explanation:

1 2/10 squared = 1.44

Answer:

Central angle ∠VQX will be subtended by the arc XUV.

Step-by-step explanation:

From the figure attached,

Central angle ∠XQU is subtended by the arc XU and ∠UQV is subtended by the arc UV.

Measure of the central angle ∠XQV = m∠XQU + m∠VQU

Therefore, central angle ∠XQV will be subtended by the arc (XU + UV) = arc XUV

Answer:

The distance each bus travels is given as d=tr where

- d is distance bus travels

- t is a time bus travels

- r is the speed of the bus

:

Distance first bus travels for 4 hours is d1=4r.

Distance other bus travels for 4 hours is d2=4(r+12).

:

The total distance between them is 480 miles and since they go in opposite directions this distance is the sum of distances each bus travels.

:

d1+d2=480

4r+4(r+12)=480

4r+4r+48=480

8r+48=480

8r=432

r=432/8

r=54 mph, this is a speed of the first bus

:

r+12=66 mph, this is the speed of the second bus

Hope this helps you!!!! :D

To calculate the various parameters for a normal shock in a Mach 2.0 flow, we can use the following formulas and relationships:

(a) The velocity of the upstream flow, a, can be calculated using the Mach number (M) and the speed of sound (a₁) at the upstream condition:

a = M * a₁

where a₁ = √(y * R * T₁)

Substituting the given values:

T₁ = 15°C = 15 + 273.15 = 288.15 K

R = 287 J/kg-K

y = 1.4

M = 2.0

a₁ = √(1.4 * 287 * 288.15)

   ≈ 348.72 m/s

a = 2.0 * 348.72

   ≈ 697.44 m/s

Therefore, the velocity of the upstream flow is approximately 697.44 m/s.

(b) The speed of sound downstream of the shock, a₂, can be calculated using Prandtl's relation:

a₂ = a₁ / √(1 + (2 * y * (M² - 1)) / (y + 1))

Substituting the given values:

M = 2.0

y = 1.4

a₁ ≈ 348.72 m/s

a₂ = 348.72 / √(1 + (2 * 1.4 * (2.0² - 1)) / (1.4 + 1))

   ≈ 263.97 m/s

Therefore, the speed of sound downstream of the shock is approximately 263.97 m/s.

(c) The velocity of sound, a₀, at the downstream condition can be calculated using the formula:

a₀ = a₂ * √(y * R * T₂)

where T₂ is the temperature downstream of the shock. Since this is a normal shock, the static pressure, density, and temperature change across the shock, but the velocity remains constant. Hence, T₂ = T₁.

a₀ = 263.97 * √(1.4 * 287 * 288.15)

   ≈ 331.49 m/s

Therefore, the velocity of sound at the downstream condition is approximately 331.49 m/s.

(d) The change in specific enthalpy, Δh₂, across the shock can be calculated using the equation:

Δh₂ = (a₁² - a₂²) / (2 * y * R)

Substituting the given values:

a₁ ≈ 348.72 m/s

a₂ ≈ 263.97 m/s

y = 1.4

R = 287 J/kg-K

Δh₂ = (348.72² - 263.97²) / (2 * 1.4 * 287)

    ≈ 1312.23 kJ/kg

Therefore, the change in specific enthalpy across the shock is approximately 1312.23 kJ/kg.

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Answer:

Deena drove:

585 miles/9 hrs

....which means

her average rate was:

65miles/hour

whereas

Kristen drove:

605 miles/11 hrs

....meaning

her average rate was:

55 miles/hour

Therefore, Deena drove at a faster rate than Kristen

Step-by-step explanation:

Answer: Deena drove 65 mph and Kristen drove 55 mph

Answer:

a). Nadia made a total of $825 last week in commission sales

b). The total amount Nadia in commission in 2011=$42,900

Step-by-step explanation: Step 1

Express the amount in commission she earns from her sales as follows;

C=S×r

where;

C=commission earned

S=total value of stock sales

r=commission rate

In our case;

C=unknown

S=$7,500

r=11%=11/100=0.11

replacing;

C=11% of 7,500

C=(11/100)×7,500

C=0.11×7,500=825

Nadia made a total of $825 last week in commission sales

b). To express the total amount she made in 2011, we derive the formula below;

Total amount (2011)=Average weekly commission×number of weeks in 2011

where;

Average weekly commission=$825

number of weeks in 2011=52

replacing;

Total amount (2011)=(825×52)=42,900

The total amount Nadia in commission in 2011=$42,900

Answer:

jjhjjh

Step-by-step explanation:

nn

The solution to the inequality is y ≤ -8. This means that any value of y that is less than or equal to -8 will satisfy the original inequality.

To solve the inequality y + 7 ≤ -1, we need to isolate the variable y on one side of the inequality sign.

Starting with the given inequality:

y + 7 ≤ -1

We can begin by subtracting 7 from both sides of the inequality:

y + 7 - 7 ≤ -1 - 7

y ≤ -8

The solution to the inequality is y ≤ -8. This means that any value of y that is less than or equal to -8 will satisfy the original inequality.

In the context of a number line, all values to the left of -8, including -8 itself, will make the inequality true. For example, -10, -9, -8, -8.5, and any other value less than -8 will satisfy the inequality. However, any value greater than -8 will not satisfy the inequality.

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The following question may be like this:

What is a solution of the inequality shown below? y+7≤-1

The probability of tossing a head and then rolling a number greater than 5 is 3/16.

To find the probability of tossing a head and then rolling a number greater than 5, we need to calculate the individual probabilities and then multiply them together.

Probability of tossing a head:

Since a fair coin has two equally likely outcomes (head or tail), the probability of tossing a head is 1/2.

Probability of rolling a number greater than 5:

An eight-sided die has eight equally likely outcomes (numbers 1 through 8). Out of these eight outcomes, there are three numbers greater than 5 (6, 7, and 8). Therefore, the probability of rolling a number greater than 5 is 3/8.

To find the probability of both events occurring, we multiply the probabilities:

Probability of tossing a head and rolling a number greater than 5 = Probability of tossing a head × Probability of rolling a number greater than 5

= (1/2) × (3/8)

= 3/16

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The lengths of the parts of the median lines FA, BE, CD, that extends from the vertices of the triangle ΔACE to the midpoints of the sides EC, AE, and AC are;

A. G is called the centroid of the triangle ΔACE

B. G is also the center of gravity of a uniform density triangle. The correct option is True; T

C. GF = 5

D. DC = 18

E. GB = 7

A median of a triangle is a line segment that extends from a vertex of a triangle to the midpoint of the side opposite the vertex

The midpoints of the sides of the triangle = F, B, and D

The midpoint of EC = F

The midpoint of AC = B

Midpoint of AE = D

A. The lines CD, BE, and FA are called median lines

The point of intersection of the three median lines of a triangle is the centroid of the triangle.

B. The centroid of a triangle and center of gravity of the triangle are located at the same position in a uniformly dense triangle, therefore, G is the center of gravity, True, T

C. In the relationship of a median, we get;

AG = (2/3)·FA

GF =  (1/3)·FA

Therefore, AG = 2·(GF)

GF = 0.5 × AG

GF = 0.5 × 10 = 5

GF = 5

D. DG = (1/3) × DC

Therefore; DC = 3 × DG

DG = 6, therefore, DC = 3 × 6 = 18

DC = 18

E. EB = 21

GB = (1/3) × EB

Therefore; GB = (1/3) × 21 = 7

GB = 7

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Answer:

Angle T = 39

Step-by-step explanation:

Triangle WXY is the same as triangle VTU

Therefore the angles are the same as well so because angle T and angle X are equal they both have the same value

There are 8 teams left after 4 rounds.

Given that there are 128 teams entered in a basketball tournament, and half of the teams are eliminated each round, to determine how many teams are left after 4 rounds, the following calculation must be performed:

Therefore, there are 8 teams left after 4 rounds.

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Answer:  \(\textsf{Slope = 6}\)

-------------------------------------------------------------------------------------------------------------

Given:  \(\textsf{f(x) = 6x + 7}\)

Find:  \(\textsf{The slope of the equation}\)

Solution: Looking at the equation it is in standard form which is y = mx + b where m is the slope and b is the y-intercept.  Looking at our expression we can see that m is equal to 6 which is our slope.

Therefore, the slope of our expression is equal to 6.

The median of the given data set as required to be determined in the task content is; 4.

It follows from the task content that the value which represents the median of the data set is to be determined.

By observation, the number of data values in the data set is; 15. On this note, the median value would be the eighth term in an orderly arrange of the values.

Consequently, the median of the data set as required is; 4.

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Answer:

-4r - 11 = 4r + 21

-4r -4r = 21 + 11

-8 = 32 (Divide both sides by -8)

/ /

-8 -8

= -4

Answer:

Rule of thumb is;

Your cumulative total student loans taken as at the time you are graduating should be less than your proposed annual starting salary.

Step-by-step explanation:

When calculating the loan a college student can afford, a rule of thumb comes in very handy which is that:

Your cumulative total student loans taken as at the time you are graduating should be less than your proposed annual starting salary.

This is because If your total student loan debt is less than your proposed annual income, it means all things being equal, you would be able to pay back the loan in about 10 years or less. However, if the loan debt exceeds your proposed income, it means you are likely to going to struggle and find it very difficult to repay your loan.

Answer:

A

Step-by-step explanation:

The range is the y-values, so it’s all numbers less than or equal to 4.

The domain is the x-values, so it’s all real numbers.

Answer:sup handsome

Step-by-step explanation:

Answer:12%

Step-by-step explanation:

I took the test

Answer: \(y=\dfrac12 x\) .

Step-by-step explanation:

We know that \(a f (x)\)  compresses f(x) vertically such that

If we vertically compress the linear parent function, F(x) = x, by multiplying by \(\dfrac12\).

Then, the equation of the new function is \(y=\dfrac12 F(x)=\dfrac12 x\) .

i.e. \(y=\dfrac12 x\) .

Answer:

d

Step-by-step explanation:

True, a researcher wants to compare performance scores for men versus women on a motor skills task. it would not be possible to use a repeated measures design for this study.

What is a performance comparison?

They are frequently used while benchmarking, which is the practice of evaluating an organization's performance versus that of the best-performing businesses.

                 The measures are employed in productivity improvement projects to monitor changes in productivity over time.

Why is performance measurement important?

Comparing is one of the most important growth drivers. Only when we contrast our development with that of our rivals or our current performance with our former performance do we get motivated to advance and accomplish greater feats.

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After answering the given query, we can state that We know that equation (-12 + 3m) must be negative because cos   0, which means that 3m  12 or m  4. As a result, choice A) m  4 is correct.

The equals sign (=) is used in mathematical equations to denote equality between two assertions. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in mathematics. For instance, the equal sign places a space between the integers in the equation 3x + 5 = 14. The relationship between the two lines on either side of a character can be expressed mathematically. Frequently, the logo and the specific component of software are the same. such as, for example, 2x - 4 = 2.

Between two vectors a and b, the dot product is

A = B given by |a| |b| cos

where  is the angle between the vectors a and b, and |a| and |b| are their relative magnitudes. We are aware that cos   0 because we are aware that the angle between vectors a and b is acute

a · b = (-3)(4) + m(3) = -12 + 3m

The size of the vector an is:

|a| = √((-3)^2 + m^2) = √(9 + m^2)

The strength of the vector b is:

|b| = √(4^2 + 3^2) = 5

We can now determine the cos using the dot product formula:

cos = (a b) / (|a | |b|) = (-12 + 3m) / (5 (9 + m2)

We know that (-12 + 3m) must be negative because cos   0, which means that 3m  12 or m  4.

As a result, choice A) m  4 is correct.

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The exact probability is less than probability using Poisson distribution is less than probability using normal distribution.

Given that,

10 balls, numbered from 1 to 10, are in an urn. We selected a 111-person sample with replacement.

We have to calculate the probability that the number one appears in the sample no more than three times. Compare the outcomes with the precise probability using both the normal and the Poisson approximations. 0:000949681

We know that,

Let

X= number of times that 1 appears in a sample

Probability of getting 1 =1/10=0.1

Then X congruent to Binomial (111,0.1)

Now,

If we approximately X is Poisson distribution with parameter

λ=111 ×0.1=11.1

Then

P(X≤3)=∑x=0 to 3 e⁻¹¹°¹(11.1)ˣ/x!

P(X≤3)= 0.004558534

If we approximate X by Normal distribution with mean

μ=111 ×0.1=11.1

σ=√111 ×0.1×0.9= 3.160696 then

P(X≤3)=0.005192688

Exact probability is

P(X≤3)=0.003275558

Therefore, The exact probability is less than probability using Poisson distribution is less than probability using normal distribution.

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