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The derivative of h(x), function f(x)=x2−1and g(x)=−x2−4x−2, is h′(-2)=-48.

To find the derivative of a product of two functions, we can use the product rule. The product rule states that the derivative of the product of two functions is equal to the product of the derivatives of each function. Thus, the derivative of h(x) can be expressed as

h′(x)=f′(x)g(x)+f(x)g′(x).

The product of the derivatives of each function makes up the derivative of a product of two functions. Therefore, the derivative of h(x) can be expressed as follows:

h′(x)=f′(x)g(x)+f(x)g′(x). When

x=-2, f(-2)=-3 and g(-2)=-8. Thus,

h′(-2)=(-2)(-3)(-8)+(-3)(-2)(-4)=-48.

Therefore, h′(-2)=-48.

To find h′(-2), first we need to find the derivatives of f(x) and g(x). The derivative of f(x) is f′(x)=2x and the derivative of g(x) is g′(x)=-4x-4. When x=-2, f(-2)=-3 and g(-2)=-8. Therefore,

h′(-2)=(2(-2)(-8))+(-3)(-4(-2))=-48.

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Answer:

rvbtyhgttbyjgvttgtbrvt

it's D

Answer:

the answer is B

Step-by-step explanation:

just trust me

Answer:

A and B

Step-by-step explanation:

Hope its help you

The number of choices when choosing five sticks from a row of 30 with no two consecutive sticks is C(30,5) - C(29,3) which is equal to 3,628 choices.

The formula used to calculate the number of choices when choosing five sticks from a row of 30 with no two consecutive sticks is C(30,5) - C(29,3).

C(30,5) is a combination formula which calculates the number of possible combinations for 30 items taken five at a time. This formula would give us the total number of possible combinations of five sticks.

C(29,3) is another combination formula which calculates the number of possible combinations for 29 items taken three at a time. This formula gives us the number of combinations in which three consecutive sticks are chosen.

Therefore, the number of choices when choosing five sticks from a row of 30 with no two consecutive sticks is C(30,5) - C(29,3) which is equal to 3,628 choices.

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The 99% confidence interval for the decrease in the defective rate after the reconfiguration is (-0.018, 0.086).

Let the random variable & parameters be;

x1 : Number of successes from group 1

x2 : Number of successes from group 2

p1: Proportion of successes in group 1

p2: Proportion of successes in group 2

n1 : number of trial in group 1

n2: number of trial in group 2

We are given;

x1 = 260

n1 =985

x2 = 194

n2 = 842

Thus;

p1 = 260/985

p1 =0.2640

p2 = 194/842

p2 = 0.2304

Constructing a (1 - α)100% confidence interval for proportion from the formula;

(p₁ - p₂) - z√[((p₁(1 - p₁)/n₁) + p₂(1 - p₂)/n₂)]

plugging in z = 2.576 and the values of p₁, p₂, n₁ and n₂, we have the confidence interval as;

(-0.0184631, 0.0855743)

Therefore the 99% confidence interval for the decrease in the defective rate after the reconfiguration is (-0.018, 0.086).

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The difference in height between Sarah and Tayjen kite is 1060 cm (10.6 m)

An equation is an expression that shows how numbers and variables are linked together using mathematical operations such as addition, subtraction, multiplication and division.

1 m = 100 cm

Sara's kite flew 48 meters in the air. Hence:

Height of Sarah kite = 48 m = 48 m * 100 cm per m = 4800 cm

Tayjen's kite flew 5,860 centimeters in the air. Therefore:

Difference in height = 5860 - 4800 = 1060 cm = 1060 cm * 1 m per 100 cm = 10.6 m

The difference in height is 1060 cm (10.6 m)

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Answer:

-23/45

Step-by-step explanation:

2/9-11/15

2×5/9×3-11×3/15×3

10/45-33/45

10-33/45

-23/45

decimal form:-0.51

Answer:

217247812842747328hjedhsba309

Step-by-step explanation:

sdmfdskhc

Based on the survey results, a typical parent would spend around $44 on their child's birthday gift, with a margin of error of approximately $2.9 at a 99% confidence level.

To estimate how much a typical parent would spend on their child's birthday gift, we use the sample mean and standard deviation as estimates of the population parameters. The sample mean of $44 serves as the point estimate for the population mean.

To determine the margin of error, we use the standard error, which is the standard deviation divided by the square root of the sample size. In this case, the standard error is approximately $2.5 (standard deviation of $10 divided by the square root of 20). Multiplying the standard error by the critical value corresponding to a 99% confidence level (z-value of 2.58 for a large sample size) gives us the margin of error.

Therefore, the typical amount spent on a child's birthday gift is estimated to be $44, with a margin of error of approximately $2.9. This means that we can be 99% confident that the true mean amount spent by parents falls within the range of $41.1 to $46.9.

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Different license plate numbers are possible are 456976000.

From the problem license plate number can be

DZZZZDD type of strings where,

D - digit(0 - 9) = total 10 numbers are there

Z- Characters(a - z) = total 26 characters are there.

At each position we try to put digit or characters according to question.

For D we have 10 possibilities and Z we have 26 possibilities.

DZZZZDD putting all the possibilities for each characters

10*26*26*26*26*10*10 = 456976000.

Given question is incomplete, Complete question:

License plate numbers in a certain state consists of seven characters. The first character is a digit (0 through 9). The next four characters are capital letters (A through Z) and the last two characters are digits. Therefore, a license plate number in this state can be any string of the form: Digit-Letter-Letter-Letter-Letter-Digit-Digit

How many different license plate numbers are possible?

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Length of Chord which is at the distance of 4 cm from the centre of a circle is 6 cm.

AB = 6 cm.

AC = 6/2 = 3 cm

Distance from the centre = OC = 4 cm.

We are given to find Diameter of the circle.

OA is the radius of the circle. So, firstly we will find the Radius (OA) of the circle.

\( \sf AC^2+ OC^2= OA^2 \\ \\ \sf 3^2 + 4^2 = OA^2 \\ \\ \sf9 + 16 = OA^2 \\ \\ \sf 25 = OA^2 \\ \\ \sf OA = \sqrt {25 } \\ \\ \sf OA = 5 cm \\ \)

Radius of circle (OA) = 5 cm

Diameter = 2 × radius

= 2 × 5

= 10 cm

Therefore, Required diameter of the circle is 10 cm

Based on the simple interest rate of the two banks, Evans should bank with Joyner Bank.

The simple interest rates can be found using the formula:

where;

a) For Ross Bank: $700 principal yields interest of $30 after 2 years

b) For Joyner Bank: $1000 principal yields interest of $46 after 2 years

Solving for the interest rate for Ross Bank:

Rate = 30 * 100 /(700 * 2)

Rate = 2.14%

Solving for the interest rate for Joyner Bank:

Rate = 46 * 100 /(1000 * 2)

Rate = 2.3%

Therefore, Evans should bank with Joyner Bank

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Answer:

1.) x=-7

2.) x= -8

3.) x=13

4.) x=2

Step-by-step explanation:

ur lucky idc

1. 4x = -28

By dividing both sides of this equation by 4, we see that x = -7.

2. x - (-6) = -2

Note that x - (-6) is equal to x + 6. To solve the equation x + 6 = -2, subtract 6 from both sides to see that x = -8.

3. -x + 4 = -9

First, subtract 4 from both sides to get that -x = -13. Then, multiply both sides by -1 to see that x = 13.

4. -3x + 7 = 1

First, subtract 7 from both sides to get that -3x = -6. Then, divide both sides by -3 to see that x = 2.

According to the question the equation for time t is t = (s * 35000) / (h * w * f).

To solve the equation s = (h * w * f * t) / 35000 for t, we can rearrange the equation as follows:

s * 35000 = h * w * f * t

Divide both sides of the equation by (h * w * f) to isolate t:

t = (s * 35000) / (h * w * f)

Therefore, the equation for t is t = (s * 35000) / (h * w * f).

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The expression which represent the factored form of 2x² - 25x + 63 is (x - 9)(2x - 7)

2x² - 25x + 63

check all that apply

O (X+9)(2x+7)

= 2x² + 7x + 18x + 63

= 2x² + 25x + 63

False

O (X - 9)(2x - 7)

= 2x² - 7x - 18x + 63

= 2x² - 25x + 63

True

O (X+7)(2X+9)

= 2x² + 9x + 14x + 63

= 2x² + 23x + 63

False

O (X - 7)(2x - 9)

= 2x² - 9x - 14x + 63

= 2x2 - 23x + 63

False

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Answer:

(1,0)

Step-by-step explanation:

y = -3x+3

simple, to find the x-intercept, what does x equal for y to be 0?

when x is 1, y equals 0, so the x-intercept would be at (1,0)

GROUP LIKE TERMS TOGETHER.

\(3x - 1.79x = 1 - 8 \\ 1.21x = - 7 \\ \frac{1.21x}{1.21} = \frac{ - 7}{1.21 \\ } \\ x = 5.7851239669\)

Answer:

x=\(\frac{10}{7}\)

Step-by-step explanation:

8 + 3x = 1 + 7.9x

1. multiply everything by 10 so there is no longer a decimal in the equation

80+30x=10+79x

2. get the x on one side so we -10 and 30x from both side

70=49x

3. divide by 49 on each side as we want to find the value of x

\(\frac{70}{49}\)=x

4. the fraction can be simplified to

\(\frac{10}{7}\)=x

4. the final answer is

\(\frac{10}{7}\)=x

Answer:

The only common factor would be 1 only.

Step-by-step explanation:

If you don't believe me, then you might as well calculate yourself or find the gcf or lcm

The answers to the questions involving trigonometry are: 90, BC/AB ÷ BC/AB = 1, g = 6.5, <I = 62 degrees, h= 13.8, 12.0, x = 6.8, x = 66.4, 160.6, The pole = 6.7

Trigonometric ratios are special measurements of a right triangle, defined as the ratios of the sides of a right-angled triangle.  There are three common trigonometric ratios: sine, cosine, and tangent

For page 3 question 3,

a) <A + <B = 90 since <C = right angle

b) SinA = BC/AB and CosB = BC/AB

The ratio of the two angles BC/AB ÷ BC/AB = 1

I notice that the ratio of sinA and cosB gives 1

b) The ratio of CosA and SinB will give

BC/AB ÷ BC/AB

= BC/AB * AB/BC = 1

For page 5 number 3

Tan28 = g/i

g/12.2 = tan28

cross multiplying to have

g = 12.2*tan28

g = 12.2 * 0.5317

g = 6.5

b) the angle I is given as 90-28 degrees

<I = 62 degrees

To find the side h we use the Pythagoras theorem

h² = (12.2)² + (6.5)²

h² = 148.84 +42.25

h²= 191.09

h=√191.09

h= 13.8

For page 6

1) Sin42 = x/18

x=18*sin42

x = 18*0.6691

x = 12.0

2) cos28 = 6/x

xcos28 = 6

x = 6/cos28

x [= 6/0.8829

x = 6.8

3)  Tan63 = x/34

x = 34*tan63

x= 34*1.9526

x = 66.4

4) Sin50 123/x

xsin50 = 123

x = 123/sin50

x = 123/0.7660

x =160.6

5)  Sin57 = P/8

Pole = 8sin57

the pole = 8*0.8387

The pole = 6.7

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Based on the given information, we cannot prove that △EFG and △KLM are similar using the SSS or SAS similarity theorems. The correct answer is option D) No, they cannot be proven similar by SSS or SAS.

To determine if the triangles △EFG and △KLM can be proven similar using the SSS (Side-Side-Side) or SAS (Side-Angle-Side) similarity theorems, we need to compare their corresponding sides and angles.

SSS Similarity Theorem states that if the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar.

SAS Similarity Theorem states that if two corresponding sides of two triangles are proportional, and the included angles are congruent, then the triangles are similar.

Let's examine the given information:

Side lengths of △EFG: EF = 18, EG = 24, FG = 15.

Side lengths of △KLM: KL = 6, KM = 8, LM = 5.

By comparing the side lengths, we can see that they are not proportional. For example, the ratio of EF/KL is 18/6 = 3, while the ratio of EG/KM is 24/8 = 3. Therefore, the corresponding sides of △EFG and △KLM are not proportional, which means we cannot establish similarity using the SSS theorem.

Now, let's consider the SAS theorem. For this, we also need to compare the included angles.

Angles of △EFG: ∠EFG, ∠EFG, ∠EGF.

Angles of △KLM: ∠KLM, ∠KML, ∠KLM.

The given information states that ∠EFG and ∠KLM are congruent. However, we don't have any information about the other angles. Without knowing the congruency of the remaining angles, we cannot establish similarity using the SAS theorem

Option D.

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Answer: Its C

Step-by-step explanation:

Answer:

the correct answer is 5 snowmen

Answer:144

Step-by-step explanation:

First find the area of that shape

24x48=1152

then reduce

1152/8=144

Answer:

4

Step-by-step explanation:

To find the mean, you need to divide the sum of the numbers by the count of numbers.

So,

6+5+2+8+6+2+3+2+2+4=40

40/10=4

Here’s a link to a little more profound explanation:

https://www.statisticshowto.com/probability-and-statistics/statistics-definitions/mean-median-mode/#mean

Answer: I need more context to answer to answer

Step-by-step explanation:

Answer:

625.5 cm^2

Step-by-step explanation:

The volume of a cone is

V = 1/3 B h

4170 = 1/3 B 20

4170 = 20/3 B

Multiply each side by 3/20

4170 *3/20 = B

625.5 = B

Hey there! I'm happy to help you!

The formula for the volume of a cone is V=1/3(πr²h). Now, to make it look ungibberishy and all numbery...

The volume of the cone is equal to the area of the base (the circle on the bottom whose area formula is pi multiplied by the radius squared) multiplied by the height and then divided by three.

In our case, though, we already have the volume. We need to undo the equation so that we can find the area of the circle base.

In our equation the last thing we do is divide by three. So, we will want to multiply by three to undo this.

4,170*3= 12510

The other step we took was multiply the base by the height, which is 20 centimeters.  To get our base, we will divide by the height instead!

12510/20= 625.5

Therefore, the area of the base of the cone is 625.5 centimeters squared.

I hope that this helps! Have a wonderful day!

Given that \(\(T(n)\) = \(10n^2-3n\)\) if (\(\(n=1\)\)), you have to prove it by induction. So, we have proved it by induction that  \($$\(T(n)=10n^2-3n\)$$\)  if ( n= 1). The given statement is true for all positive integers n

Let's do it below: The base case (n=1) is given as follows: \(T(1)\) =\(10\cdot 1^2-3\cdot 1\\&\)=\(7\end{aligned}$$\). This implies that \(\(T(1)\)\) holds true for the base case.

Now, let's assume that \(\(T(k)=10k^2-3k\)\) holds true for some arbitrary \(\(k\geq 1\).\)

Thus, for n=k+1, T(k+1) = \(10(k+1)^2-3(k+1)\\&\) = \(10(k^2+2k+1)-3k-3\\&\)=\(10k^2+20k+7k+7\\&\) = \(10k^2-3k+20k+7k+7\\&\) = \(T(k)+23k+7\\&\) = \((10k^2-3k)+23k+7\\&\) =  \(10(k+1)^2-3(k+1)\).

Therefore, we have proved that the statement holds true for n=k+1 as well. Hence, we have proved it by induction that  \($$\(T(n)=10n^2-3n\)$$\)  if (n=1). Therefore, the given statement is true for all positive integers n.

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Answer:

The answer is -285

Step-by-step explanation:

An 80-foot rope is attached to a boat

7 feet above the water level as shown and a

boy jumps over the wake while

wakeboarding. What is the distance between

his hands and the water level?

80 ft

:[?] ft

Round to the nearest hundredth.

enter

Answer:2.81 feet

Answer:

(x,y) (1, -4)

Step-by-step explanation:

3x-7= -4x

x=1

y= -4x1

y= -4

(x,y) (1, -4)

can i be brainliest

Answer:

by moving the decimal in both numbers twice to the right and doing normal long division (the decimal in 3 is at the end) to get the answer of 0.72

Answer:

The answser is 0.72 because you divide 2.18 by 3

Step-by-step explanation:

for using bace ten blocks you have too move the decimal number 2 spaces to the right. 2.16-->216 You need 21 ten rods and 6 cubes. Why: I wouldn't do 2 hundred flats because 2 isn't divisible by 3. Put the ten rods into 3 equal group, then do the same with the cubes. You should end up with 7 in each group since 21 divided by 3 is 7. You should also end up with 2 cubes in each group. So in one group you have 72. Now move the decimal back to where it came from, 2 spaces to the left. Now you have 0.72.