Find the points on the graph of y = x² + 3x + 1 at which the slope of the tangent line is equal to 6 Point(s) help (points)

Answer:

sss similarities

Step-by-step explanation:

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Answer:

D. x=10

Step-by-step explanation:

6 - 4 = 2

5 x 2 = 10

10/5 + 4 = 6

:)

The perimeter of the figure with dimensions (4cm, 5cm, 8cm, and 3cm) is 20 cm

What is the perimeter?

The entire length of a shape's boundary is referred to as the perimeter in geometry. A shape's perimeter is calculated by combining the lengths of all of its sides and edges. Its dimensions are expressed in linear measures like centimeters, meters, inches, and feet.

Why is a perimeter important?

They help you to quantify physical space and also provide a foundation for more advanced mathematics found in algebra, trigonometry, and calculus. Perimeter is a measurement of the distance around a shape and area gives us an idea of how much surface the shape covers.

What is the formula for the perimeter of a rectangle?

The formula for the perimeter of a rectangle is,

P = length + breadth + length + breadth.

Perimeter of given figure(4cm, 5cm, 8cm, and 3cm) = 4 + 5 + 8 + 3

                                                                                      = 20

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The function that represents an exponential growth would be = f(X) = 0.3 ( 1.05) ^x. That is option C.

An exponential growth of a function is defined as the growth that shows increase rates with respect to a given time.

There are two types of exponential functions: exponential growth and exponential decay.

The function that shows an exponential growth has the formula = f (x) = b^x, when b > 1.

From the examples given in the options above, the correct option that represents the exponential growth is f(X) = 0.3 ( 1.05) ^x. Thai so because 1.05 is greater than 1.

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Answer:

\(\frac{(a^{2}*\pi )}{2} + 8a\)

Step-by-step explanation:

We need to find the area of that semi circle and add it to the area of the rectangle. We can easily find the area of the rectangle with the equation length times width which is 4 *2a or 8a.

The radius is a and since the area of a semi-circle is (pi*r^2)/2, we can get a^2*pi/2.

Therefore, the equation would be \(\frac{(a^{2}*\pi )}{2} + 8a\)

Mr. Kuldeep bought more rice than Mr. Rajesh by 1¾ kg, or 1.75 kg more than Mr. Rajesh.

Mr. Kuldeep bought 7½ kg of rice and Mr. Rajesh bought 5¾ kg of rice. To find out who bought more rice and by how much, we need to compare the two quantities.

First, let's convert the mixed numbers into improper fractions:

7½ kg = (7 x 2 + 1)/2 = 15/2 kg

5¾ kg = (5 x 4 + 3)/4 = 23/4 kg

Now, let's compare the two fractions:

15/2 kg > 23/4 kg

Therefore, Mr. Kuldeep bought more rice than Mr. Rajesh.

To find out by how much, we need to subtract the smaller quantity from the larger one:

15/2 kg - 23/4 kg = (30 - 23)/4 kg = 7/4 kg

So, Mr. Kuldeep bought 7/4 kg or 1¾ kg more rice than Mr. Rajesh. In conclusion, Mr. Kuldeep bought more rice than Mr. Rajesh by 1¾ kg.

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Answer: x = -9

steps

Simplifying

14 + -2(x + 8) = 5x + -1(3x + -34)

Reorder the terms:

14 + -2(8 + x) = 5x + -1(3x + -34)

14 + (8 * -2 + x * -2) = 5x + -1(3x + -34)

14 + (-16 + -2x) = 5x + -1(3x + -34)

Combine like terms: 14 + -16 = -2

-2 + -2x = 5x + -1(3x + -34)

Reorder the terms:

-2 + -2x = 5x + -1(-34 + 3x)

-2 + -2x = 5x + (-34 * -1 + 3x * -1)

-2 + -2x = 5x + (34 + -3x)

Reorder the terms:

-2 + -2x = 34 + 5x + -3x

Combine like terms: 5x + -3x = 2x

-2 + -2x = 34 + 2x

Solving

-2 + -2x = 34 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.

-2 + -2x + -2x = 34 + 2x + -2x

Combine like terms: -2x + -2x = -4x

-2 + -4x = 34 + 2x + -2x

Combine like terms: 2x + -2x = 0

-2 + -4x = 34 + 0

-2 + -4x = 34

Add '2' to each side of the equation.

-2 + 2 + -4x = 34 + 2

Combine like terms: -2 + 2 = 0

0 + -4x = 34 + 2

-4x = 34 + 2

Combine like terms: 34 + 2 = 36

-4x = 36

Divide each side by '-4'.

x = -9

In binary representation, each bit can be either 0 or 1. Using five binary bits, we can obtain 32 different numbers. Therefore, the correct answer is (B).

With five binary bits, we have five positions, and each position can have two possibilities (0 or 1). To calculate the total number of different numbers we can obtain, we need to raise 2 to the power of the number of bits. In this case, we have \(2^5,\) which equals 32. Therefore, we can obtain 32 different numbers using five binary bits. To understand this concept, we can think of each binary bit as a switch that can be either on (1) or off (0). With five switches, we have a total of 32 different combinations or numbers that can be represented. These numbers range from 0 (all switches off) to 31 (all switches on). Therefore, the correct answer is (B), which states that we can obtain 32 different numbers using five binary bits.

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Answer:

equation: 8-n=13

answer: n = 21

Step-by-step explanation:

well, we can say that the function will be y = (50% of "x") - 8.

wait a minute! what's the 50% of "x" anyway?

\(\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{50\% of x}}{\left( \cfrac{50}{100} \right)x}\implies 0.5x~\hfill {\LARGE \begin{array}{llll} g=0.5x - 8 \end{array}}\)

Answer:

\(\frac{3}{12}, \frac{8}{10},\frac{2}{12}\)  

Step-by-step explanation:

→ Find the multiplier in the first one

12 ÷ 4 = 3

→ Multiply onto top

\(\frac{3}{12}\)

→ Find multiplier for second one

10 ÷ 5 = 2

→ Multiply

2 × 4 = 8

Answer:

$2940

Step-by-step explanation:

30 percent *4200 =

(30:100)*4200 =

(30*4200):100 =

126000:100 = $1260

4200-1260=$2940

Answer:

\(\boxed {m = 1}\)

Step-by-step explanation:

Use the Slope Formula to determine the slope of two given points:

\(m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\)

First Point: \((x_{1}, y_{1})\)

Second Point: \((x_{2}, y_{2})\)

-Substitute both points:

First Point: \((3, -4)\)

Second Point: \((1, 2)\)

\(m = \frac{2 + 4}{1 - 3}\)

-Solve for the slope:

\(m = \frac{2 + 4}{1 - 3}\)

\(m = \frac{-2}{-2}\)

\(\boxed {m = 1}\)

Therefore, the slope is \(1\).

If two polygons are similar, then they have the same shape but not necessarily the same size.

They can be either enlarged or reduced in size or reflected. Hence, even though the polygons are similar, they do not have to be drawn to scale.

The term scale refers to the ratio of any two corresponding lengths in two geometric figures, so if two figures are drawn to scale, the ratio of their corresponding lengths in the drawing is the same as the ratio of their corresponding lengths in the actual figures.

Therefore, if two polygons are similar but not drawn to scale, the drawing may not be an accurate representation of the actual figures, as the scaling information may not be consistent.

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Answer:

C-17 I think my bad

Step-by-step explanation:

Answer:

we have:

10*(9x-1+10)=9(9+11)

10(9x+9)=9*20

9(x+1)=9*20/10

x+1=18/9

x+1=2

x=2-1

x=1

Now

RS:9×1-1=8

Answer:

5

Step-by-step explanation:

If you multiply each side by 5 to get 42:30 then subtract 42 by 30, 12 is leftover.

Answer:

The numbers should be 42 and 30

Step-by-step explanation:

Okay, so the equation should be:

7x - 5x = 12

2x = 12

x = 6

and find the numbers:

7 x 6 = 42

5 x 6 = 30

Answer:

he can make 6 goodie bags

Step-by-step explanation:

The greater probability is the probability of winning through the use of regular defense.

If out of the 100 games that were reviewed, the defense games were 50 and the prevent defense games were 50 as well

Out of the regular 50, there are 38 wins and then 12 loses. Out of the prevent games, there 29 wins and 21 loses.

The probability to win by regular is 38 / 50 = 0.76

the probability to win by prevent defense is 29 / 50 = 0.58

0.76 is greater than 0.58 hence the decision would be to win the game by playing the regular defense.

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A football coach is trying to decide: When a team is ahead late in the game, which strategy is better?

Play the "regular" defense.

Play a "prevent" defense that guards against long gains but makes short gains easier.

The coach reviews the outcomes of 100 games.

Compare the probability of winning when playing regular defense with the probability of winning when playing prevents defense. Draw a conclusion based on your results.

Answer:

D

Step-by-step explanation:

76 times the amount in X equals Y

Answer:

BC = \(\frac{12}{13}\)

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

BC² + AC² = AB²

BC² + (\(\frac{5}{13}\) )² = 1²

BC² + \(\frac{25}{169}\) = 1 ( subtract \(\frac{25}{169}\) from both sides )

BC² = \(\frac{169}{169}\) - \(\frac{25}{169}\) = \(\frac{144}{169}\) ( take square root of both sides )

BC = \(\sqrt{\frac{144}{169} }\) = \(\frac{12}{13}\)

Answer:

b 2，3，8

Step-by-step explanation:

Y=234678

Z=278910

X=12358

234678910 n 12358

=238

The 95% confidence interval for the mean heart rate of Chicago Marathon finishers five minutes after completing the race is (128.74, 135.26) beats per minute for variance.

To find the 95% confidence interval for the mean heart rate of Chicago Marathon finishers five minutes after completing the race, we can use the following formula:

\(CI = x +- (t * (s / \sqrt{n} ))\)

where:
- CI is the confidence interval
- x is the sample mean (132)
- t is the t-value corresponding to the 95% confidence level
- s is the square root of the sample variance (the sample standard deviation)
- n is the sample size (41)

Step 1: Calculate the sample standard deviation
\(s = \sqrt{s^2} = \sqrt{105}\)≈ 10.25

Step 2: Find the t-value for a 95% confidence level with 40 degrees of freedom (n - 1)
Using a t-table or calculator, we find that the t-value is approximately 2.021.

Step 3: Calculate the margin of error
Margin of Error =\(t * (s / \sqrt{n} ) = 2.021 * (10.25 / \sqrt{4} )\) ≈ 3.26

Step 4: Calculate the confidence interval
CI = x ± Margin of Error = 132 ± 3.26
CI = (128.74, 135.26)

So, the 95% confidence interval for the mean heart rate of Chicago Marathon finishers five minutes after completing the race is (128.74, 135.26) beats per minute.

Answer:

6/21

Step-by-step explanation:

bc thats the answer

Answer:

Simplified: 6/15 = 2/5

Step by-step explanation:

Answer:

Step-by-step explanation:

Let's start by finding the probability distribution of the random variable Y = [X] + 1, where [X] is the largest integer less than or equal to X. Since X is an exponential random variable with rate λ, its probability density function is:

f_X(x) = λe^(-λx) for x ≥ 0

The probability that Y = k, where k is an integer greater than 1, is:

P(Y = k) = P([X] + 1 = k) = P(k - 1 ≤ X < k) = ∫(k-1)^k f_X(x) dx

Using the probability density function of X, we get:

P(Y = k) = ∫(k-1)^k λe^(-λx) dx = [-e^(-λx)]_(k-1)^k = e^(-λ(k-1)) - e^(-λk)

The probability that Y = 1 is:

P(Y = 1) = P(X < 1) = ∫0^1 λe^(-λx) dx = 1 - e^(-λ)

Therefore, the probability that Y = k, for k ≥ 1, is:

P(Y = k) = (1 - e^(-λ)) * (e^(-λ))^(k-2) for k ≥ 2

This is the probability mass function of a geometric distribution with parameter p = 1 - e^(-λ).

Therefore, we have shown that if X is an exponential random variable with rate λ, then Y = [X] + 1 is a geometric random variable with parameter p = 1 - e^(-λ).


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Answer:

1/3^5

Step-by-step explanation:

The price of a postcard is 6 cents and Envelop is 8 cents.

Let's call the price of one postcard x.

The price of one envelope is x + 2 cents.

The total cost of the postcards is 15 * x cents.

The total cost of the envelopes is 10 * (x + 2) cents.

The total cost of both is 15 * x + 10 * (x + 2) cents.

This is equal to 170 cents.

We can set up the following equation to represent the information given in the problem:

15 * x + 10 * (x + 2) = 170

Solving for x, we find that the price of one postcard is:

25x = 170-20

25x=150

x = 6

Therefore, The price of a postcard is 6 cents.

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The probability that both are red should be 0.1423.

The possibility of picking up x number of balls among n number of balls is ⁿCₓ.

jar contains 9 red marbles and 14 blue marbles. Total number of marbles are 23.

favorable cases of picking two red marbles among 9 red marbles is ⁹C₂

And the total possible cases of picking two marbles among 23 marbles is ²³C₂

Therefore, the probability of picking both red marbles are = ( no. Of favorable cases/no. Of possible cases) = ( ⁹C₂ )/( ²³C₂ ) = 36/253 = 0.1423.

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