plz help me with this i don’t understand

Answer: 16, rational

Step-by-step explanation: because its a real number

f(x+h) = 2(x+h)^2 - 7(x+h) + 9

f(x+h) - f(x) = 4xh + 2h^2 - 7h.

hf(x+h) - f(x) = 2hx^2 + 4hx^2 + 2h^3 - 7hx - 7h^2 + 9h - 2x^2 + 7x - 9.

f(x+h) = 2(x+h)^2 - 7(x+h) + 9

Simplifying this expression, we get:

f(x+h) = 2(x^2 + 2xh + h^2) - 7x - 7h + 9

= 2x^2 + 4xh + 2h^2 - 7x - 7h + 9

So, f(x+h) = 2x^2 + 4xh + 2h^2 - 7x - 7h + 9.

f(x+h) - f(x), we subtract the value of f(x) from f(x+h):

f(x+h) - f(x) = (2x^2 + 4xh + 2h^2 - 7x - 7h + 9) - (2x^2 - 7x + 9)

f(x+h) - f(x) = 2x^2 + 4xh + 2h^2 - 7x - 7h + 9 - 2x^2 + 7x - 9

= 4xh + 2h^2 - 7h

So, f(x+h) - f(x) = 4xh + 2h^2 - 7h.

hf(x+h) - f(x), we multiply f(x+h) by h and subtract f(x) from the result:

hf(x+h) - f(x) = h(2x^2 + 4xh + 2h^2 - 7x - 7h + 9) - (2x^2 - 7x + 9)

Expanding and simplifying this expression, we get:

hf(x+h) - f(x) = 2hx^2 + 4hx^2 + 2h^3 - 7hx - 7h^2 + 9h - 2x^2 + 7x - 9

So, hf(x+h) - f(x) = 2hx^2 + 4hx^2 + 2h^3 - 7hx - 7h^2 + 9h - 2x^2 + 7x - 9.

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Answer:

First one: function

Second one: not a function

Step-by-step explanation:

A function is a relationship where each input has it's own unique output. If an input has more than one output then the relationship is not a function

For the first one no x value repeats meaning each input has it's own output therefore it is a function

For the second one the x value 8 has more than 1 output therefore the second one is not a function

The rate of falling temperature is 5 1/3 degrees per hour.

What do you mean by the rate of temperature?

This indicates the sensitivity of the reaction to change in temperature.

Given that;

The temperature fell 4 degrees in 3/4 of an hour.

So, we can set up a proportion to see how much temperature fell in an hour,

\(\frac{4}{3/4} = \frac{x}{1}\)

4 /0.75 = x

x = 5 1/3

Hence, The rate of falling temperature is 5 1/3 degrees per hour.

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The diagonal matrix A' for T relative to the basis \(\(B'\)\) is:

\(\[A' = \left[ \begin{array}{ccc} 3 & -4 & 0 \\ -2 & -1 & 0 \\ 0 & 0 & 1 \end{array} \right]\]\)

To find the diagonal matrix A' for the linear transformation T relative to the basis B', we need to perform a change of basis using the given matrix A and basis B'.

Let's denote the standard basis as \(\(B = \{(1, 0, 0), (0, 1, 0), (0, 0, 1)\}\).\)

To perform the change of basis, we need to find the matrix P such that P[B'] = B.

We can write the vectors in B' as column vectors:

\(\[B' = \left[ \begin{array}{ccc} -1 & 2 & 0 \\ 1 & 1 & 0 \\ 0 & 0 & 1 \end{array} \right]\]\)

To find \(P\), we solve the equation P[B'] = B for P:

\(\[P \cdot B' = B\]\\\\\P = B \cdot (B')^{-1}\]\)

Calculating the inverse of \(\(B'\)\):

\(\[B'^{-1} = \left[ \begin{array}{ccc} -1 & 2 & 0 \\ 1 & 1 & 0 \\ 0 & 0 & 1 \end{array} \right]^{-1} = \left[ \begin{array}{ccc} -1 & 1 & 0 \\ \frac{1}{2} & \frac{1}{2} & 0 \\ 0 & 0 & 1 \end{array} \right]\]\)

Now we can calculate \(\(P\)\):

\(\[P = B \cdot B'^{-1} = \left[ \begin{array}{ccc} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{array} \right] \cdot \left[ \begin{array}{ccc} -1 & 1 & 0 \\ \frac{1}{2} & \frac{1}{2} & 0 \\ 0 & 0 & 1 \end{array} \right] = \left[ \begin{array}{ccc} -1 & 1 & 0 \\ \frac{1}{2} & \frac{1}{2} & 0 \\ 0 & 0 & 1 \end{array} \right]\]\)

Now, the diagonal matrix A' for T relative to the basis B' can be calculated as:

\(\[A' = P^{-1} \cdot A \cdot P\]\)

Calculating\(\(P^{-1}\):\)

\(\[P^{-1} = \left[ \begin{array}{ccc} -1 & 1 & 0 \\ \frac{1}{2} & \frac{1}{2} & 0 \\ 0 & 0 & 1 \end{array} \right]^{-1} = \left[ \begin{array}{ccc} -1 & 2 & 0 \\ 1 & 1 & 0 \\ 0 & 0 & 1 \end{array} \right]\]\)

Substituting the values into the equation for \(\(A'\)\):

\(\[A' = \left[ \begin{array}{ccc} -1 & 2 & 0 \\ 1 & 1 & 0 \\ 0 & 0 & 1 \end{array} \right]^{-1} \cdot \left[ \begin{array}{ccc} -1 & -2 & 0 \\ -1 & 0 & 0 \\ 0 & 0 & 1 \end{array} \right] \cdot \left[ \begin{array}{ccc} -1 & 2 & 0 \\ 1 & 1 & 0 \\ 0 & 0 & 1 \end{array} \right]\]\)

Performing the matrix multiplication:

\(\[A' = \left[ \begin{array}{ccc} -1 & 2 & 0 \\ 1 & 1 & 0 \\ 0 & 0 & 1 \end{array} \right] \cdot \left[ \begin{array}{ccc} -1 & -2 & 0 \\ -1 & 0 & 0 \\ 0 & 0 & 1 \end{array} \right] \cdot \left[ \begin{array}{ccc} -1 & 2 & 0 \\ 1 & 1 & 0 \\ 0 & 0 & 1 \end{array} \right]\]\)

Calculating the matrix multiplication, we get:

\(\[A' = \left[ \begin{array}{ccc} 3 & -4 & 0 \\ -2 & -1 & 0 \\ 0 & 0 & 1 \end{array} \right]\]\)

Therefore, the diagonal matrix A' for T relative to the basis B' is:

\(\[A' = \left[ \begin{array}{ccc} 3 & -4 & 0 \\ -2 & -1 & 0 \\ 0 & 0 & 1 \end{array} \right]\]\)

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The geometric series is convergent and the sum of the convergent series is 25.

The given series is a geometric series with first term a = 5 and common ratio r = 4/5.
To determine if the series converges or diverges, we need to check if the absolute value of the common ratio is less than 1:
|4/5| < 1
Therefore, the series converges.
To find the sum of a convergent geometric series, we can use the formula:
sum = a / (1 - r)
Plugging in the values, we get:
sum = 5 / (1 - 4/5) = 25
Therefore, the sum of the given convergent geometric series is 25.
The given geometric series is 5 + 4 + 16/5 + 64/25 + ...
First, let's determine if it is convergent or divergent. To do this, we need to find the common ratio (r) of the series. We can find it by dividing the second term by the first term:
r = 4/5
Since the common ratio r is between -1 and 1 (-1 < r < 1), the series is convergent.
Now, to find the sum of the convergent series, we can use the formula:
Sum = a / (1 - r)
where "a" is the first term of the series and "r" is the common ratio.
Sum = 5 / (1 - 4/5)
Sum = 5 / (1/5)
Sum = 5 * 5
Sum = 25
Therefore, the sum of the convergent series is 25.

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Answer:

a. sides BC & EF

b. <A & <D

2a. A / B, not that sure

Answer:

they get  a 7/24th piece of cake.

Step-by-step explanation:

if we divide 3 1/2 by 12 we get 7/24

we use the 3 1/2 because that is how many cakes there are.
we use 12 because there are 12 boys that want to split the cake equally.

In this scenario, we are given the following information: sample size (n) is 49, sample mean (P) is 50, sample standard deviation (s) is 7, null hypothesis (H₀) states that the population mean (μ) is greater than or equal to 52, and the alternative hypothesis (Hₐ) states that the population mean is less than 52.

The test statistic for this situation is the t-statistic, which measures the difference between the sample mean and the hypothesized population mean, taking into account the sample size and the sample standard deviation. It is used to assess the evidence against the null hypothesis. In this case, since the alternative hypothesis states that the population mean is less than 52, we have a left-tailed test. To calculate the t-statistic, we use the formula:

t = (P - μ) / (s / √n)

Plugging in the given values:

t = (50 - 52) / (7 / √49) = -2 / (7 / 7) = -2

Therefore, the test statistic for the provided information is -2. This value represents the standardized difference between the sample mean and the hypothesized population mean, accounting for the sample size and standard deviation. It indicates that the sample mean is 2 standard deviations below the hypothesized population mean of 52.

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Answer:

I think its 7x+45=3 but im not 100% positive

Answer:

what she said bc i got it right

Step-by-step explanation:

Answer:

Multiplier = 0.65

Value at the end of the year = 7,800 monetary units

Step-by-step explanation:

If his car decreased in value by 35%, in order to find the value of his car at the end of last year, multiply the original value by (1 - 35%) or:

\(1-35\%=1-0.25=0.65\)

The multiplier that should be used is 0.65.

The value of Ahmed's car at the end of last year was:

\(V=12,000*0.65\\V=7,800\)

The car was worth 7,800 monetary units at the end of last year.

Answer:

Flowers attract insects that transport gametes

Step-by-step explanation:

An advantage of flowering plants is that flowers attract insects that transport gametes. The correct option is A.

Flowering plants are generally called angiosperms. They bear flowers and fruits. There are more than 30,000 species of flowering plants. Flowering plants give beautiful or different colored flowers, and some flowers convert into fruit after some time.

Flowers have fragrances and vibrant colors. They have pollen or gametes which help in pollination. They attract many animals and insects towards themselves, and these animals help the plant to pollinate or dispersing of seeds. And insects and birds feed on the nectar of the flowers.

Thus, the correct option is A. Flowers attract insects that transport gametes.

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(x-2)(x+2) is factorize is given eq

SOLUTION:

Case: Percentage

Given: Frequency table

Required: To find the percentage of the students in grades 9–10 like rap music

Method:

Step 1: First we find the total number of people in grades 9–10.

We see clearly from the tables that 125 students are in grades 9–10.

Step 2: Next we find the number of people in grades 9–10 who like rap music.

There are 40 students in grades 9–10 who like rap music.

Step 3: We express as this as a percentage of the whole

This is 32% of the students in grades 9-10.

Final answer:

32% of students of the students in grades 9–10 like rap music

Answer:(3) -3x+13

Step-by-step explanation:

hope this helps!

\((\stackrel{x_1}{-15}~,~\stackrel{y_1}{-10})\qquad (\stackrel{x_2}{-20}~,~\stackrel{y_2}{-12}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-12}-\stackrel{y1}{(-10)}}}{\underset{\textit{\large run}} {\underset{x_2}{-20}-\underset{x_1}{(-15)}}} \implies \cfrac{-12 +10}{-20 +15} \implies \cfrac{ -2 }{ -5 } \implies {\Large \begin{array}{llll} \cfrac{2 }{ 5 } \end{array}}\)

Answer: The slope is -2/5

Step-by-step explanation:

Answer:

62.4

Step-by-step explanation:

Brainliest

Answer

62.4

Step-by-step explanation:

The total line integral along path c is: ∫(-1 to 1) f(t,0) dt - ∫(0 to -1) f(1,t) dt.

To find the line integral along path c, we need to parametrize the two segments of the path and then integrate the given function along each segment separately.
For the first segment, from (-1,0) to (1,0), we can use the parametrization r(t) = (t, 0), where t ranges from -1 to 1. Thus, the line integral along this segment is:
∫(-1 to 1) f(r(t)) ||r'(t)|| dt
= ∫(-1 to 1) f(t,0) ||(1,0)|| dt
= ∫(-1 to 1) f(t,0) dt
For the second segment, from (1,0) to (1,-1), we can use the parametrization r(t) = (1, t), where t ranges from 0 to -1. Thus, the line integral along this segment is:
∫(0 to -1) f(r(t)) ||r'(t)|| dt
= ∫(0 to -1) f(1,t) ||(0,-1)|| dt
= -∫(0 to -1) f(1,t) dt
Therefore, the total line integral along path c is:
∫(-1 to 1) f(t,0) dt - ∫(0 to -1) f(1,t) dt

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Answer:

5,000

Explanation:

Given the number 4,589

• The thousand digit = 4

• The number after the thousand digit = 5

Since the number after the thousand digit is 5, we round up.

Therefore:

4,589 rounded to the nearest thousand​ = 5,000

Answer: 5000

Step-by-step explanation:

Answer:

(a) 152.5

(b) -45.4

(c) 750

(d) -87.5

Step-by-step explanation:

To calculate the percentage increase:

First: work out the difference (increase) between the two numbers you are comparing.

Increase = New Number - Original Number.

Then: divide the increase by the original number and multiply the answer by 100.

% increase = Increase ÷ Original Number × 100.

I hope this helps! :)

Answer:

360

Step-by-step explanation:

the sum of the measures of the exterior angles of a polygon is equal to 360 degrees

Answer: 360

Step-by-step explanation: the sum of the exterior angles are 360

Answer: 85.25

Step-by-step explanation:

Answer:

20.

Step-by-step explanation:

We need to setup a proportion. We want the result to be 40% out of 50, meaning that we are solving for x:

4/10=x/50.

Cross-multiplying, we have 200 = 10x, and x = 20.

Answer: 27/45 > 20/45

Step-by-step explanation:

You must make the denominator of each fraction equivalent while keeping the value of each individual fraction the same.

3/5 x (9/9) = 27/45

4/9 x (5/5) = 20/45

27/45 > 20/45

Answer: 27/45 > 20/45

Step-by-step explanation:

You must make the denominator of each fraction equivalent while keeping the value of each individual fraction the same.

3/5 x (9/9) = 27/45

4/9 x (5/5) = 20/45

27/45 > 20/45

Answer:

Acute

Step-by-step explanation:

Answer:

Step-by-step explanation:

The crank angle value when the piston is at Top Dead Center (TDC) is 0 radians or 0 degrees. The maximum ratio of the crank radius to the connected length is 0.3.

The crank angle value refers to the angle between the crankshaft and a reference point when measuring the position of the piston. When the piston is at Top Dead Center (TDC), it is at its highest point in the cylinder. The crankshaft is positioned such that the connecting rod is aligned with the crank radius and the piston is at the topmost position. This corresponds to a crank angle value of 0 radians or 0 degrees.

Regarding the maximum ratio of the crank radius to the connected length, this value is given as 0.3. The crank radius is the distance from the center of the crankshaft to the center of the crank pin, and the connected length is the distance from the center of the crank pin to the center of the piston pin. The maximum ratio of 0.3 indicates that the crank radius is 0.3 times the connected length.

It's important to note that these values are specific to the context of the problem statement provided. Different engines or mechanisms may have different values for the crank angle at TDC and the maximum ratio of crank radius to connected length.

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Answer:

If Samuel drives a compact car, he would need to buy 243.75 gallons of gas per year. If he drives a pickup truck, he would need to buy 250.25 gallons of gas per year. So he would need to buy 6.5 more gallons of gas per year if he drives a pickup truck compared to a compact car.

Step-by-step explanation:

To determine how long it will take Mary Corens to repay her student loan, we can divide the total loan amount of $15,000 by the annual repayment amount of $1,800. The result will give us the number of years it will take her to repay the loan.

it will take Mary approximately 8 years to repay the loan.

By dividing the total loan amount of $15,000 by the annual repayment amount of $1,800, we can calculate the number of years needed to repay the loan.

Loan amount: $15,000

Annual repayment: $1,800

Number of years = Loan amount / Annual repayment

Number of years = $15,000 / $1,800

Number of years ≈ 8.33

Since we are asked to round the answer to the nearest whole number, Mary will take approximately 8 years to repay the loan.

It's important to note that this calculation assumes a constant annual repayment amount of $1,800 throughout the entire loan repayment period. In reality, factors such as interest accrual and varying repayment schedules may affect the actual time it takes to fully repay the loan. Additionally, any changes to the annual repayment amount would also impact the duration of the loan repayment.

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