18
26
52
44
Mandy is working at the zoo. She must record the ages of the tortoises There are 9 tortoises.
Their ages are 29, 2, 12, 26, 18, 34, 54, 44, and 18.
What is the mean age of the tortoises? You may use a calculator. Round to the nearest whole
number.
3) Read the following and answer the question

Answer:

you have to put the Y in the formula or make a comparison

Answer:

88

Step-by-step explanation:

Answer:

88

Step-by-step explanation:

plz give brainliest

Answer:

.

Step-by-step explanation:

Answer:

224

Step-by-step explanation:

360.-136.

Answer:

what is the question i cant see the picture well

Step-by-step explanation:

Answer:

Start off with the 20ft sides

20x2 =40ft

40ft + 8ft = 48ft

Now we need to find the perimeter of the half circle.

Since we know the diameter of the half circle is 8ft, we can use the following formula: Diameter x Pi = Circumference

Plug in:

8ft x 3.14159 = 25.132ft

25.132 /2 gives us the perimeter of the half circle

25.132 / 2 = 12.566

Rounded = 12.57 ft

48 ft + 12.57 ft =  60.57 feet perimeter.

The perimeter of the given solution is 76.56 feet.

We need to find the perimeter of the figure by splitting the figure into a rectangle and a semi-circle. The radius for the semi-circle is found by dividing the diameter by 2, Radius = 8 ÷ 2 = 4.

Therefore, the formula for finding the Perimeter of the given rectangle is  

P = 2( l+b )

P = 2( 20 + 8)

P = 56 feet.

now, the formula for the circumference of a semi-circle is

C = \(\pi\)r + 2r

C = 3.14( 4) + 2 (4)

C = 20.56 feet.

Therefore, the perimeter of the given figure is

The perimeter of  the rectangle + circumference of the Semi-circle

= 56 + 20.56

= 76.56 feet

Therefore, the perimeter of the given solution is 76.56 feet.

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Answer:

option D 12 is correct..

in second question the student didn't multiply -3 with 4. that's the mistake he did.

hope it helps

Answer:

D. 12

Step-by-step explanation:

4(3x+2)

=(4)(3x+2)

=(4)(3x)+(4)(2)

=12x+8

\(\huge\begin{array}{ccc}y=\dfrac{4}{x}&\text{for}&x\neq0\end{array}\)

We have:

\(xy=4\)

We need:

\(y=?\)

Let's transform the equation:

\(xy=4\\\\\dfrac{xy}{x}=\dfrac{4}{x}\qquad\text{for}\ x\neq0\\\\\boxed{y=\dfrac{4}{x}}\)

Answer:

Step-by-step explanation:

5x + 10 + 10x + 5 = 180

15x + 15 = 180

15x = 165

x = 11

Answer:

\(f(126) \approx 5.01333\)

Step-by-step explanation:

Given

\(\sqrt[3]{126}\)

Required

Solve using differentials

In differentiation:

\(f(x+\triangle x) \approx f(x) + \triangle x \cdot f'(x)\)

Express 126 as 125 + 1;

i.e.

\(x = 125; \triangle x = 1\)

So, we have:

\(f(125+1) \approx f(125) + 1 \cdot f'(125)\)

\(f(126) \approx f(125) + 1 \cdot f'(125)\)

To calculate f(125), we have:

\(f(x) = \sqrt[3]{x}\)

\(f(125) = \sqrt[3]{125}\)

\(f(125) = 5\)

So:

\(f(126) \approx f(125) + 1 \cdot f'(125)\)

\(f(126) \approx 5 + 1 \cdot f'(125)\)

\(f(126) \approx 5 + f'(125)\)

Also:

\(f(x) = \sqrt[3]{x}\)

Rewrite as:

\(f(x) = x^\frac{1}{3}\)

Differentiate

\(f'(x) = \frac{1}{3}x^{\frac{1}{3} - 1}\\\)

Using law of indices, we have:

\(f'(x) = \frac{x^\frac{1}{3}}{3x}\)

So:

\(f'(125) = \frac{125^\frac{1}{3}}{3*125}\)

\(f'(125) = \frac{5}{375}\)

\(f'(125) = \frac{1}{75}\)

So, we have:

\(f(126) \approx 5 + f'(125)\)

\(f(126) \approx 5 + \frac{1}{75}\)

\(f(126) \approx 5 + 0.01333\)

\(f(126) \approx 5.01333\)

Answer:

Step-by-step explanation:

Answer:

A^n = [4^n 4^n

0 1]

Step-by-step explanation:

To find the solution for the 2x2 matrix A:

[4 4

0 1] to the nth power = [ ]

We can use matrix multiplication to raise A to the nth power. Let's start with n = 1:

A^1 = [4 4

0 1]

Now, let's solve for A^2 by multiplying A^1 by A:

A^2 = A x A^1

= [4 4 [4 4

0 1] 0 1]

= [16 16

0 1]

Next, let's solve for A^3:

A^3 = A x A^2

= [4 4 [16 16

0 1] 0 1]

= [64 64

0 1]

We can see a pattern emerging:

   A^1 = [4 4

   0 1]

   A^2 = [16 16

   0 1]

   A^3 = [64 64

   0 1]

We can generalize this pattern as follows:

A^n = [4^n 4^n

0 1]

Therefore, the solution for the 2x2 matrix A raised to the nth power is:

A^n = [4^n 4^n

0 1]

The solution for x, is x= (3m - b)/2. (Option-d)

To solve for x in the given equation, m=(2x+b)/3, we can start by isolating x on one side of the equation.

First, we can multiply both sides of the equation by 3 to get rid of the denominator:

3m = 2x + b

Next, we can subtract b from both sides of the equation:

3m - b = 2x

Finally, we can divide both sides of the equation by 2:

x = (3m - b)/2

It's important to note that this is a linear equation with one unknown variable, and we can use algebraic methods to solve for the unknown variable. This equation may arise in many fields of study, including physics, engineering, and economics, among others.(Option-d)

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Given :

▪︎Length of a the hypotenuse of the triangle formed = 17 ft

▪︎Length of one of its leg = 15 ft

Let the length of another side or the diameter of the object be x.

We know that :

\(\color{hotpink}\tt{hypotenuse}^{2} \color{plum}= {base}^{2} + {height}^{2} \)

Which means :

\( =\tt {x}^{2} + {15}^{2} = {17}^{2} \)

\( = \tt {x}^{2} = {17}^{2} - {15}^{2} \)

\( =\tt {x}^{2} = 289 - 225\)

\( = \tt {x}^{2} = 64\)

\( =\tt x = \sqrt{64} \)

\(\hookrightarrow\color{plum}\tt x = 8 \: ft\)

▪︎Therefore, the diameter of this object = 8 ft

Given :

▪︎Length of one of the legs of this triangle = 34 cm

▪︎Length of another leg of this triangle = 16 cm

Let the length of the hypotenuse of the triangle formed be x.

We know that :

\(\color{hotpink}\tt{hypotenuse}^{2} \color{plum}= {base}^{2} + {height}^{2} \)

Which means :

\( = \tt {34}^{2} + {16}^{2} = {x}^{2} \)

\( = \tt\tt1156 + 256 = {x}^{2} \)

\( = \tt1412 = {x}^{2} \)

\( =\tt \sqrt{1412} = x\)

\(\hookrightarrow\color{plum}\tt 37 \: ft = x\)

▪︎Therefore, the diameter of this object = 37 ft

Answer:

The sample size is  \(n = 451 \)

Step-by-step explanation:

From the question we are told that

   The margin of error is  E = 0.03

    The sample proportion is  \(\^ p = 0.12\)

From the question we are told the confidence level is  95% , hence the level of significance is    

      \(\alpha = (100 - 95 ) \%\)

=>   \(\alpha = 0.05\)

Generally from the normal distribution table the critical value  of  \(\frac{\alpha }{2}\) is  

   \(Z_{\frac{\alpha }{2} } =  1.96\)

Generally the sample size is mathematically represented as  

    \(n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) \)

=>   \(n = [\frac{1.96}{0.03} ]^2 *0.12 (1 - 0.12 ) \)

=>   \(n = 451 \)

This question is based on concept of normal distribution.Therefore, 451 individuals must  survey to estimate the proportion who approve of Congress at that point to within 3% at 95% confidence.

Given:

The sample size is n=451.

According to question,

The margin of error is E = 0.03

The sample proportion is  \(\bold{\hat{p}}\) =0.12

From the question, the confidence level is 95% , hence the level of significance is,

\(\alpha =(100-95)\%\\\bold{\alpha =5\%=0.05}\)  

Normally, as per the normal distribution table the critical value  of,

\(\dfrac{\alpha }{2}\) is

\(\bold{Z_\frac{\alpha }{2} =1.96}\)

And ,the sample size in mathematically represented as,

\(\begin{aligned}n&=(\frac{Z_\frac{a}{2} }{E})^{2} \times \hat p(1-\hat p)\\n&=(\frac{1.96}{0.03})^2 \times 0.12(1-0.12)\\\bold{n&=451} \end{aligned}\)

Hence, there are 451 individuals must we survey to estimate the proportion who approve of Congress at that point to within 3% at 95% confidence.

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The correct answer is (-7/2,-1/2) or (-3.5,-0.5)  To find the midpoint of a segment, add both "x" coordinates, divide by 2.  Then add both "y" coordinates, and divide by 2

Explanation:

Segment AW bisects angle CAD.

This leads to the smaller pieces (angles CAW and DAW) to be equal to one another. Both are 20 degrees each. That totals to 20+20 = 40 degrees.

Therefore, angle CAD = 40 degrees.

The supplement of this is angle DAX

(angle CAD) + (angle DAX) = 180

angle DAX = 180 - (angle CAD)

angle DAX = 180 - 40

angle DAX = 140 degrees

Answer:

243

Step-by-step explanation:

3*3*3*3*3=243

Answer:

243

Step-by-step explanation:

Answer:

The number of positively-charged protons and non-charged (“neutral”) neutrons, gives mass to the atom, and the number of each in the nucleus of the atom determine the element.

Answer:

The p-value of the test is 0.0023 < 0.02, which means that there is sufficient evidence at the 0.02 level to dispute the company's claim.

Step-by-step explanation:

The company's promotional literature claimed that 28% do not fail in the first 1000 hours of their use.

At the null hypothesis, we test that at least 28% do not fail, that is:

\(H_0: p \geq 0.28\)

At the alternative hypothesis, we test if the proportion is of less than 28%, that is:

\(H_1: p < 0.28\)

The test statistic is:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, \(\sigma\) is the standard deviation and n is the size of the sample.

0.28 is tested at the null hypothesis:

This means that \(\mu = 0.28, \sigma = \sqrt{0.28*0.72}\)

Sample of 1800 computer chips revealed that 25% of the chips do not fail in the first 1000 hours of their use.

This means that \(n = 1800, X = 0.25\)

Value of the test statistic:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

\(z = \frac{0.25 - 0.28}{\frac{\sqrt{0.28*0.72}}{\sqrt{1800}}}\)

\(z = -2.83\)

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion below 0.25, which is the p-value of Z = -2.83.

Looking at the z-table, z = -2.83 has a p-value of 0.0023.

The p-value of the test is 0.0023 < 0.02, which means that there is sufficient evidence at the 0.02 level to dispute the company's claim.

840 different numbers can be created selecting 4 of the digits from the number

From the question, we have the following parameters that can be used in our computation:

Number =  8712395

Digits = 4

The count of digits in the number is 7

Using the above as a guide, we have the following:

So, we have

Numbers = 7 * 6 * 5 * 4

Evaluate

Numbers = 840

Hence, 840 numbers can be formed

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The lengths of the other two sides of the right triangle are 24m and 25m, respectively.

Let's assume the consecutive integers representing the lengths of the other two sides of the right triangle are x and x + 1, where x is the smaller integer. We are given that the shortest side measures 7m. Now, we can use the Pythagorean theorem to solve for the lengths of the other two sides.

According to the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

Using this theorem, we have the equation:

\(7^2 + x^2 = (x + 1)^2\)

Expanding and simplifying this equation, we get:

\(49 + x^2 = x^2 + 2x + 1\)

Now, we can cancel out \(x^2\) from both sides of the equation:

49 = 2x + 1

Next, we can isolate 2x:

2x = 49 - 1

2x = 48

Dividing both sides by 2, we find:

x = 24

Therefore, the smaller integer representing the length of one side is 24, and the consecutive integer representing the length of the other side is 24 + 1 = 25.

Hence, the lengths of the other two sides of the right triangle are 24m and 25m, respectively.

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The compound amount after 3 years is $2275.22.

In this case, you are given:

Principle = $2,000

rate = 0.0353

time = 3

You need to find A, the compound amount after 3 years.

To do this, you need to plug in the values of P, r and t into the formula and use a calculator:

A=P×e^rt

A=2000×(e)^0.0353×3

A≈2275.22

Therefore, by the compound interest the answer will be $2275.22.

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If the graph of \(f(x) = 4e^{0.1x}\) is blue, then the graph of \(f(x) = 4(1+\frac{0.1}{0.5} )^{0.5x}\) is: C. red.

In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:

\(f(x) = a(b)^x\)

Where:

For the rate of change of the blue exponential function \(f(x) = 4e^{0.1x}\), we have the following:

b = \(e^{0.1}\)

b = 1.11

For the rate of change of this exponential function \(f(x) = 4(1+\frac{0.1}{0.5} )^{0.5x}\), we have the following:

b = 1 + 0.1/0.5

b = 1.2

Therefore, this exponential function \(f(x) = 4(1+\frac{0.1}{0.5} )^{0.5x}\) is represented by the red line on the graph.

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9514 1404 393

Answer:

  KEEP CALM AND DO THE MATH

Step-by-step explanation:

a) Our decoding strategy is to try to determine the mapping of code numbers to letters by looking at the range and/or frequency of the numbers. The minimum code value is 15, and the maximum is 41. We assume this means the value 15 corresponds to the letter A. Since the code is linear and the coefficient is 1, we assume this is a simple substitution code. We can find the letter number by subtracting 14 from the code number.

__

b) The decoding function will be ...

  alphabet[n-14]

where alphabet[x] returns the x-th letter of the alphabet, and n is the code number. Subtracting 14 from the message numbers gives alphabet index number ...

  11, 5, 5, 16, 27, 3, 1, 12, 13, 27, 1, 14, 4, 27, 4, 15, 27, 20, 8, 5, 27, 13, 1, 20, 8

The value 27 refers to a non-alphabetic character, which we choose to interpret as a space. The attachment shows the relation between these numbers and letters of the alphabet.

__

c) The message is ...

  KEEP CALM AND DO THE MATH

Answer:

wag po lagi umasa sa brainly

Answer:

It’s worth a pair of cozy slippers with a nice warm bowl of milk

Step-by-step explanation:

Answer:

Step-by-step explanation:

27 ÷ 90 = 0.3 = 0.30 = 30%

Answer:

8

Step-by-step explanation:

2*4=8

Answer:

8 fourths

Step-by-step explanation:

Answer:

r = -1 9/20

Step-by-step explanation:

-2 1/4 = r - 4/5

Switch sides:

r - 4/5 = -2 1/4

Add 4/5 to both sides.

r = -2 1/4 + 4/5

Change the mixed numeral into a fraction:

r = -9/4 + 4/5

The LCD is 20.

r = -45/20 + 16/20

r = -29/20

r = -1 9/20