Use the distributive property

Answer:

It lies between three and four.

Step-by-step explanation:

Answer:

First, find the square root of 12

√12=3.46410161514

Whole numbers are: 0,1,2,3,4,5...

So, the 2 whole numbers √12 lies between are 3 and 4

Answer:

24 boxes to drop down

Step-by-step explanation:

Answer:

I think

1st box:2.22

2nd box:2.14

3rd box:0.30

4th box:0.19

And the last one I’m not sure I just guessed ‍♂️

Step-by-step explanation:

Answer:

2n-18=16; n=17

Step-by-step explanation:

2n-18=16

   +18 +18

2n= 34

/2     /2

n=17

Hope this helped

Answer:

0.0487 = 4.87%

Step-by-step explanation:

The probability of one mail being returned is 1.5% = 0.015, so the probability of the mail not being returned is 1 - 0.015 = 0.985. If we want 0 mails returned from a total of 200 mails, we have 0 mails returned (probabilitity of 0.015) and 200 mails not returned (probability of 0.985), then the final probability is calculated as follows:

Probability = (0.985)^200 * (0.015)^0 = 0.0487 = 4.87%

To find the probability that none of the 200 mailings will be returned because of incorrect or incomplete addresses, we can calculate the probability of an individual mailing not being returned and multiply it by itself 200 times.

To find the probability that none of the 200 mailings will be returned, we need to calculate the probability that each individual mailing is not returned. Given that 1.5% of mailings are returned, the probability of an individual mailing not being returned is 1 - 0.015 = 0.985. We can then find the probability that none of the mailings are returned by multiplying this probability by itself 200 times.

P(no mailings returned) = (0.985)200

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Answer:

57.6

Step-by-step explanation:

60 x 0.96 = 57.6

hope this helps

Answer:

(x, y) is transformed into (y, -x)

This is the last option (option I) in the list of possible answers.

Step-by-step explanation:

Notice the transformation in the point you picked: (-6,4), which from this coordinates change into the point (4,6) after the rotation about the origin.

Notice that the value "4" which was the original "y" value of the point, now became the "x" value for the transformed point.

So so far we have:  (..., y) transformed into  (y, ...)

now,notice that the value "-6" which was the original x=value for the point, after the transformation appeared in the new "y" position, and with the signed reversed (from -6 into +6), so it became the new x value but with opposite sign.

Then we can complete how the transformation can be represented:

(x, y) is transformed into (y, -x)

This is the last option (option I) in the list of possible answers.

Answer:

(6, - 5)

Step-by-step explanation:

The equation of circle in centre radius form is:

[tex](x - h)^{2} + (y - k)^{2} = {r}^{2} \\ plugging \: h = 3 \: \: k = - 9 \: and \: r = 5 \\ (x - 3)^{2} + \{y - ( - 9) \}^{2} = {5}^{2} \\ (x - 3)^{2} + (y + 9)^{2} = 25 \\ let \: us \: plug \: x = 6 \: and \: y = - 5 \: in \: lhs \\ lhs = (6 - 3) ^{2} + ( - 5 + 9) ^{2} \\ = (3) ^{2} + ( 4) ^{2} \\ = 9 + 16 \\ = 25 \\ = rhs \\ hence \: (6, \: \: - 5) \: is \: on \: the \: circle.[/tex]

Answer:

Answer is option b) (6,-5)

Step-by-step explanation:

[tex]given \: that \: \\ centr e\: of \: circle \: is(3, - 9) \\ and \: radius \: is \: 5 \\ when \: \: we \: calculate \: the \: distance \: between \: (3, - 9) \: and \: (6, - 5) \\ distance \: = \sqrt{ {(x1 - x2)}^{2} + {(y1 - y2)}^{2} } \\ here \: x1 = 3 \: \: y1 = - 9 \\ x2 = 6 \: \: \: \: y2 = - 5 \\ on \: substituting \: the \: values \\ = \sqrt{(3 - 6) + {( - 9 + 5)}^{2} }^{2 } \\ = \sqrt{ { - 3}^{2} + { - 4}^{2} } \\ = \\ = \sqrt{9 + 16} \\ = \sqrt{25} \\ = 5[/tex]

(6 -5) is a point on the circle.

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

Answer:

4

Step-by-step explanation:

13497/1250

12500 + 997/1250

12500 + 0.7976

12500.7976

Answer:

4 places of decimals.

Step-by-step explanation:

13497.1250 = 10.7976.

Answer:

x^2+x-20

Step-by-step explanation:

x = 4

x - 4 = 0

x = -5

x + 5 = -5

(x + 5)(x - 4)

x^2+x-20

The quadratic function with zeros 4 and -5 is f(x) = x² + x - 20.

To write a quadratic function f(x) whose zeros are 4 and -5, we can use the fact that the zeros of a quadratic function correspond to the values of x that make the function equal to zero.

A quadratic function can be represented in the form:

f(x) = a(x - r1)(x - r2)

where r1 and r2 are the zeros of the function.

Given zeros are 4 and -5. Substituting these into the formula, we get:

f(x) = a(x - 4)(x + 5)

Expanding this, we obtain:

f(x) = a(x² + x - 20)

To simplify, we can choose a value for a, usually 1 for simplicity:

f(x) = x² + x - 20

This is the quadratic function with zeros at 4 and -5.

The value of the number 'n' that has the digit 0 five times and the digit 9 six times will be 59.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Range of the number             Times of '0'             Time of '9'

             1 - 9                                   0                               1

           10 - 19                                  1                               1

          20 - 29                                 1                               1

          30 - 39                                 1                               1

          40 - 49                                 1                               1

          50 - 59                                 1                               1

           Total                                   5                               6

Then the value of the number 'n' that has the digit 0 five times and the digit 9 six times will be 59.

More about the Algebra link is given below.

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Step-by-step explanation:

A factor is the number in a multiplication problem.

Answer:

  x = 11

Step-by-step explanation:

Consider the attached drawing. The central angle at C has the same measure as the arc: 125°. XYCZ is a quadrilateral, so has a sum of interior angles that is 360°. The interior angles are tangent points Y and Z are both 90°, so the remaining two angles are supplementary.

That is ...

  (6x -11)° +125° = 180°

  6x = 66 . . . . . . subtract 114

  x = 11 . . . . . . . . .divide by 6

__

So, the things you need to know about this geometry are ...

In short: the angle at X and the arc YZ are supplementary: they have a sum of 180°.

Answer:

11

Step-by-step explanation:

6x - 11 + 125 = 180

6x = 66

x = 11°

Answer:

x = 3y

Step-by-step explanation:

In this question, we are asked to model an equation that clearly mimics what we have in the question using certain type of variables.

Now initially, we are told that we have 2 bunnies having 6 babies. what does this tell us?

Looking at this, we can see that the number of babies is exactly 3 times the number of bunnies. More like saying 3 times the number of bunnies equal the number of babies.

so leveraging in this finding and applying the variable, we can say each of the 2 bunnies has 3 babies per month.

Mathematically, this is same as x bunnies = 3y babies per month

Answer: C. A conclusion based on a confidence interval estimate will be the same as a conclusion based on a hypothesis test.

Explanation: The One-Sample Proportion Test is used to assess whether a population proportion (P1) is significantly different from a hypothesized value (P0). This procedure calculates sample size and statistical power for testing a single proportion using either the exact test or other approximate z-tests.

To write a null hypothesis, first, start by asking a question. Rephrase that question in a form that assumes no relationship between the variables. In other words, assume a treatment has no effect. Write your hypothesis in a way that reflects this.

A null hypothesis is a hypothesis that says there is no statistical significance between the two variables. It is usually the hypothesis a researcher or experimenter will try to disprove or discredit. An alternative hypothesis is one that states there is a statistically significant relationship between two variables.

Answer:

it depends what country you are referring to

In order to find a place's temperature, you have to have the continent and the place you are looking for. Temperatures are different every hour. Hope this helps! Stay safe and have a great day!

- Dhruva :)

Answer:

134 degrees

Step-by-step explanation:

Because all triangles add up to 180 degrees, the missing degree inside the triangle would be 46 degrees. The 46 degrees are the missing side for the line and since all lines equal 180 degrees, 180 - 46 = 134

Answer:

The answer to your question is the letter A.    (4, -8)   and  (1, -5)

Step-by-step explanation:

Data

                x + y = -4              Equation l

                y = x² - 6x             Equation ll

Process

1.- Substitute equation ll in equation l

              x + x² - 6x = -4

2.- Solve the quadratic equation

                  x² - 5x + 4 = 0

Factor        (x - 4)(x - 1) = 0

-Solve for x

                   x₁ - 4 = 0         x₂ - 1 = 0

                   x₁ = 4               x ₂ = 1

3.- Substitute x₁ and x₂ in equation l

         4 + y₁ = -4                     1 + y₂ = -4

              y₁ = -4 - 4                      y₂ = -4 - 1

              y₁ = -8                           y₂ = -5

4.- Solutions

             (4, -8)   and  (1, -5)

Answer:

[tex]\frac{1}{12}[/tex]

Step-by-step explanation:

There are 36 total possible combinations with 2 number cubes. Only 3 of these combinations add up to 10 (4 and 6, 5 and 5, 6 and 4).

[tex]\frac{3}{36} =\frac{1}{12}[/tex], so the probability is [tex]\frac{1}{12}[/tex].

Answer:

1/12

Step-by-step explanation:

Answer:

1 4/5 = peanuts

1 1/5 = raisins

3/5 = chocolate chips

Step-by-step explanation:

3 ÷ 1 1/4 = 2 2/5

2 2/5 × 3/4 = 1 4/5

2 2/5 × 1/2 = 1 1/5

2 2/5 × 1/4 = 3/5

To keep proportions with 3 cups of granola, Darcia would need 1 ½ cups of peanuts, 1 ¼ cups of raisins, and 3/5 cup of chocolate chips in her snack mix.

Darcia has increased her granola measurement to 3 cups, which is 2.4 times more than the original 1 ¼ cups used in the snack mix recipe (since 3 ÷ 1.25 equals 2.4). To keep the other ingredients proportional to the new quantity, we need to multiply their original amounts by the same factor of 2.4

Therefore, if she used 3 cups of granola, she would use 1 ½ cups of peanuts, 1 ¼ cups of raisins, and 3/5 cup of chocolate chips to maintain the proportions in her snack mix.

Complete part of Question:

Assume a factor of safety of 3.0

The Maximum stress versus logarithm of the number of cycles to fatigue failure curve for 2014-T6 Aluminium bar is attached to this solution

Answer:

The maximum allowable load amplitude is 6403.33 N

Step-by-step explanation:

diameter of the bar, d = 12 mm

d = 0.012 m

Cross sectional area of the bar, A = πd²/4

A = π*0.012²/4

A = 0.000113 m²

From the Maximum stress versus logarithm of the number of cycles to fatigue failure for 2014-T6 Aluminium bar attached to this solution;

At 10⁷ cycles, Maximum stress, S = 170 MPa

S = 170 * 10⁶ Pa

Factor of safety, N = 3.0

The tensile stress is given by the formula:

[tex]\sigma = S/N\\\sigma = \frac{170 * 10^{6} }{3} \\\sigma = 56.67 * 10^{6} N/m^{2}[/tex]

The tensile stress is also given by:

[tex]\sigma = F/A\\\sigma = F/0.000113[/tex]

F/0.000113 = 56.67 * 10⁶

F = 56.67 * 10⁶ * 0.000113

F = 6403.33 N

The maximum allowable load amplitude is 6403.33 N

Answer:

The maximum allowable load amplitude is 6408.85 Newtons

Step-by-step explanation:

Assume a factor of safety N = 3.0

From the graph attached, the maximum stress the cylindrical 2014-t6 aluminum alloy bar is subjected to is S = 170MPa

diameter d = 12.0 mm = 12*10^-3 m

area A

S = F/A

But A = (Π* d²)/4

S = 4F/(Π*d²)

By incorporating factor of safety N

S/N = 4F/(Π*d²)

F = SΠd²/4N

F = {170*10^6 *Π *(12*10^-3)}/4*3.0

F = 76906.19/12 = 6408.85 Newtons

Pls find the solution in the attached file for more explanation.

The hourly growth rate is 2%

An exponential growth is in the form:

y = abˣ;

where y, x are variables, a is the initial value of y and b > 1

Let y represent the number of bacteria after x hours.

There was initially 2200 bacteria, hence a = 2200. The equation becomes:

[tex]y=2200(b)^x\\\\\\After\ 1.5\ hours,y=2300:\\\\\\2300=2200(b)^{1.5}\\\\\\b^{1.5}=1.045\\\\1.5lnb=ln(1.045)\\\\ln(b)=0.0296\\\\b=1.02[/tex]

Therefore the hourly growth rate is 1.02 - 1 = 0.02 = 2%

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Answer:

5 degrees Celsius

Step-by-step explanation:

initial temperature = -12°C

temperature after 4 hours = -12°C + 4(5°C)

= -12°C + 20°C

= 8°C

final temperature = 8°C - 3°C

=5°C

Answer:

5 degrees celsius

Step-by-step explanation:

C

Answer:

No, linear

Step-by-step explanation:

It's negative linear pattern

Answer: A. Yes, the points have no pattern.

Step-by-step explanation: Correct on edge2020, C linear is wrong trust me I did the Unit Test Review.

Answer:

$8.48

Step-by-step explanation:

Total of Items:

Add up the prices of all the items he bought

soup+oranges+newspaper

1.99+3.49+2.50=7.98

$7.98

Sales Tax:

Multiply his total by the sales tax rate

7.98*6.25%

Convert 6.25% to a decimal

6.25/100=0.0625

7.98*0.0625=0.49875

0.49875

Total With Tax

Add the tax to his total without tax

7.98+0.49875=8.47875

Round to the nearest cent, or hundreth

$8.48

4000 g

Step-by-step explanation:

32 kg means 32000 g of watermelon

divided into 8 bowls

grams of watermelon in each bowl are 32000÷8 = 4000 g

Ally put 4,000 grams of watermelon in each bowl.

To find out how many grams of watermelon Ally put in each bowl, we need to divide the total weight of the watermelon slices by the number of bowls. Ally sliced 32 kg of watermelon and divided it equally between 8 large bowls. To convert kg to grams, we multiply by 1000. So, the total weight of watermelon in grams is 32,000 grams. To find out how many grams of watermelon went into each bowl, we divide the total weight by the number of bowls: 32,000 grams / 8 bowls = 4,000 grams.

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Answer:

1,135 people

For every 100 people only 45 people watch more than 10 hours per week. So, the ratio is (45/100), since the company has 2500 we want to know what (x/2500) is. The total ratio becomes (1,135/2,500).

The number is found by dividing 2500 by 100 to receive the common factor of 25. You multiply 45 by 25 to receive your total answer.

Step-by-step explanation:

For every 100 people only 45 people watch more than 10 hours per week. So, the ratio is (45/100), since the company has 2500 we want to know what (x/2500) is. The total ratio becomes (1,135/2,500).

The number is found by dividing 2500 by 100 to receive the common factor of 25. You multiply 45 by 25 to receive your total answer.

Answer:

Step-by-step explanation:

Given that three fair coins are flipped.

Sample space for the given event is

[tex]S={\{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}\}[/tex]

Let A be the events of getting atleast 2 Heads and is given by

A = {HHH, HHT, HTH, THH}

Probability of Getting atleast 2 Heads in 3 Coin Tosses  is

[tex]P(A)=\frac{n(A)}{n(S)}[/tex]

[tex]P(A)=\frac{4}{8}[/tex]

[tex]=0.5[/tex]

Answer:

3769.92 ft

Step-by-step explanation:

The diameter of the wheel, d= 60 ft

We know the perimeter of the wheel is,

= πd

= 3.1416*60

= 188.496 ft

Wheel travel for 5 minutes. So the wheel travel,

= 5*60

= 300 sec

The wheel rotates in every 15 seconds. So the wheel rotates,

= 300/15

= 20 times

In one rotation, the wheel travels its perimeter. so is 5 minutes it travels,

= 188.496*20

= 3769.92 ft