Which expression is equivalent to 8+20 ? A. 4(4+20) B.4(2+5) C.2(2+10) D. 2(6+18) Find the missing fac or in the given expression: 30+12= O(5 + 2)​

1. The required amount y after t years is as shown below:

When t=1,  y=74550

When t= 5, y = 88750

When t= 10, y = 106500

When t= 15, y = 124250

When t= 20, y = 142000

2. The required amount y after t years is as shown below:

When t=1, y = 73840

When t= 5, y = 86382.35607  

When t= 10, y = 105097.3442

When t= 15, y = 127866.988

When t= 20, y = 155569.743

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

1. x = 71000

  r =  3550

Use the below formula to find amount y after t years

y = x+( rt )

When t=1,   y= 71000 + ( 3550 * 1) = 74550

Similarly,  

When t= 5, y = 88750

When t= 10, y = 106500

When t= 15, y = 124250

When t= 20, y = 142000

2.  4% = 0.04

Use the below formula to find amount y after t years

y = x *( 1 + r )^ t

=> y = 71000*( 1.04)^t

When t=1,   y= 71000 * ( 1.04)^1 = 73840

Similarly,  

When t= 5, y = 86382.35607  

When t= 10, y = 105097.3442

When t= 15, y = 127866.988

When t= 20, y = 155569.743

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Answer: See below

Step-by-step explanation:

1.    x²-y²=55           or         (x+y)(x-y)=55  

2.   x-y=5

Solution      (1)    (x+y)5=55

______      (2)    x+y=55/5

______      (3)    x+y=11

______      (4)    x+y+x-y=11+5       The equation we got before we can use now

______      (5)    2x+y-y=16            see this y-y=0

______      (6)    2x=16                   2x+0=16 that's mean 2x=16

______      (7)    x=8                       Got the answer

Hope that help

Answer:

I AM PRETTY SURE X IS AND ACUTE AND Y IS A RIGHT IF IM CORRECT

Y=90 AND X=30

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Step-by-step explanation:

Answer:

Answer is d on edge 2021

Step-by-step explanation:

Answer:

it is d :)

Step-by-step explanation:

F and G are inverse if both of them satisfy the condition h(x)=x. f(g(x))=g(f(x))=x, as we discovered. The argument f(x) and g(x) are inverse functions is thus established.

If f (x) and g (x) are inverse functions, it can be determined using one of two ways. For more information, see the explanation.

Explanation:

Instance 1

Inverse functions of both functions can be found using the first method.

Example.

Inverse of f (x) = x + 7 is what we're looking for.

We attempt to determine x using the equation y = x + 7.

y = x + 7

Inferring that g (x) is the inverse of f (x) from the fact that x = y 7

Finding g (x inverse )'s is now necessary.

g( x ) = x − 7

y = x − 7

x = y + 7

As a result, we discovered that f (x) is the inverse function of g (x).

f and g are equal if g is inverse of f and vice versa.

The second approach entails locating the compound functions f ( g ( x ) ) and g ( f ( x ) ). In this case, f and g are inverse if they are both h (x ) = x.

Example:

f ( g ( x ) =  [ x − 7 ] + 7

G ( x ) placed as x is the expression in brackets.

f ( g ( x ) ) = x − 7  + 7 = x

g (f ( x ) =  [ x + 7 ] − 7

f ( x ) inserted as x is the expression in brackets.

g ( f ( x ) ) = x + 7 − 7 = x

The equation f ( g ( x ) ) = g ( f ( x ) ) = x was what we discovered. The argument f (x) and g (x) are inverse functions is thus established.

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F(5)= 3.(5)+2=15+2=17

Another example: F(0)=3.(0)+2=0+2=2

You just replace the value in the two sides.

The numbers can be a solution for the inequality 32+a>44 is 13 and 14.

If the equation or inequality have variable terms, than there might be some values of those variables for which the equation or inequality might be correct. Such values are known as solution to that equation or inequality. To set of such values are called solution set to be considered equation or inequality.

Given that;

The inequality= 32+a>44

To solve the inequality 32 + a > 44, we need to isolate the variable "a" on one side of the inequality.

32 + a > 44

Subtract 32 from both sides:

a > 44 - 32

a > 12

This means that any number greater than 12 can be a solution to the inequality.

Therefore, the inequalities numbers 13 and 14 can be solutions, but 11 and 12 cannot.

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Based on the distance that Jill is above sea level, and the distance of the whale, the difference in elevation is 1.35 km.

Jill's elevation relative to sea level is:

= +5/4 km

The whale's elevation relative to sea level is:

= - 0.1 km

The difference is therefore:

= 5/4 - (-0.1)

= 1.25 + 0.1

= 1.35 km

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f(x) = x^3 - 6x^2 + 12x the function is increasing for x < -2, increasing for x > 4 and decreasing for -2 < x < 4. The critical value that will give you a relative maximum is x = 4. The critical value that will give you a relative minimum is x = -2.

The derivative of the given function is f'(x) = 3x^2 - 12x + 12. Setting this equal to 0 gives us x = 0 and x = 4. By the first derivative test, we can determine that the function is increasing for x < -2, increasing for x > 4 and decreasing for -2 < x < 4. Therefore, the critical value that will give us a relative maximum is x = 4 and the critical value that will give us a relative minimum is x = -2. This can be verified by finding the second derivative of the function, which is f''(x) = 6x -12. Setting this equal to 0 gives us x = 2, which is between the two critical values. Since the second derivative is negative for x < 2, the critical value at x = -2 will give us a relative minimum and since it is positive for x > 2, the critical value at x = 4 will give us a relative maximum.

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Answer:

Calculated value Z = 2.1097 > 1.96 at 0.05 level of significance

There is a difference between the means

Step-by-step explanation:

Step(i):-

Given that mean of the Population = 5.9pounds/square inch

Given mean of the sample = 6.0pounds/square inch

Given that variance of the Population = 0.36

The standard deviation of the Population = √0.36 =0.6

critical value (Z₀.₀₅)= 1.96

Step(ii):-

Null Hypothesis:H₀: x⁻ = μ

Alternative Hypothesis:H₁:  x⁻ ≠ μ

Test statistic

              \(Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }\)

               \(Z = \frac{6.0-5.9 }{\frac{0.6}{\sqrt{160} } }\)

              Z  =  2.1097

Final answer:-

Calculated value Z = 2.1097 > 1.96 at 0.05 level of significance

The null hypothesis is rejected

There is a difference between the means

The correct statement is that for each hour, the earnings go up by $7. Option A

If we have the equation of the line, we can substitute the value of 7 for the number of hours into the equation and solve for the earnings. The equation would typically be in the form of "earnings = slope * hours + y-intercept," where the slope represents the rate of earnings per hour and the y-intercept represents the earnings when no hours are worked.

We can find the slope of the graph to know as said above;

m = y2 - y1/x2 - x1

m = 14 - 0/2 - 0

m = 7

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Answer:

A) 5k

Step-by-step explanation:

anything near a number like that is usually times. Like 7g would be 7xg!

Answer:

width=16

length=38

Step-by-step explanation:

perimeter of a rectangle=2(length+width)

108/2=length+ width

54=length+ width

54-width=length

also:

length-6= 2×width

length=2width +6

now you can put the length we found, in the second equation:

54-width=2width+6

54-6=2width+width

48=3width

width=16

now do the exact same thing with one of the equations we created in the beginning.

either this:

54-width=length

or this:

length=2width +6

as the 1st one is simpler, I use that:

54-(16)=length

length=38

Answer:

t = 1.2, -1.2

Answer: 10 because if they have the same shape then it must be 10.

I'm not sure if they want the same area or the same length. But if you want the volume then it would be 2. Because 2 x 75 = 150 and 15 x 10 = 150. Wait for more responses if needed.

Answer:

3/1

Step-by-step explanation:

hope you got the correct answer

thankyou.

By applying the unitary method, counting 67 colonies on a plate with 1ml of the 1:1,000,000 dilution indicates that 67,000,000 bacteria were present in 1ml of the original sample.

The unitary method is a mathematical technique that involves finding a unit value and using it to solve problems. In this case, we need to determine the number of bacteria present in 1ml of the original sample.

The dilution factor represents the ratio of the volume of the original sample to the volume of the diluted sample. In this case, the dilution factor is 1:1,000,000, which means that 1ml of the original sample was diluted with 1,000,000ml of a diluent solution to obtain 1ml of the diluted sample. Therefore, the number of bacteria in the original sample is 1,000,000 times the number of bacteria in the diluted sample.

Now, let's use the colony count to determine the number of bacteria in the diluted sample. We are told that 67 colonies were counted on the plate with 1ml of the 1:1,000,000 dilution. This means that each colony represents the growth of a single bacterium in the diluted sample. Therefore, the number of bacteria in the diluted sample is 67.

Using the unitary method, we can now determine the number of bacteria in 1ml of the original sample. We know that the number of bacteria in the original sample is 1,000,000 times the number of bacteria in the diluted sample. Therefore:

Number of bacteria in original sample = Dilution factor x Number of bacteria in diluted sample

Number of bacteria in original sample = 1,000,000 x 67

Number of bacteria in original sample = 67,000,000

So, the answer is that 67,000,000 bacteria were present in 1ml of the original sample.

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Step-by-step explanation:

The last step is a little wrong. Lemme show you:

x(x + 2) + (x + 2)

Imagine there is an invisible '1' infront of (x + 2) like this:

= x(x + 2) + 1(x + 2)

Now we can combine the like terms together:

= (x + 1)(x + 2)

This is the correct factorization.

Solving for a variable is an illustration of changing the subject of formula

The formula to calculate h is: \(h=\frac{3V}{\pi r^2}\)

The volume of a cone is:

\(V=\frac{1}{3}\pi r^2\)

Multiply both sides by 3

\(3*V=\frac{1}{3}\pi r^2h*3\)

\(3V=\pi r^2h\)

Divide both sides of the equation by \(\pi r^2\)

So, we have:

\(\frac{3V}{\pi r^2}=h\)

Rewrite as:

\(h=\frac{3V}{\pi r^2}\)

Hence, the formula to calculate h is:

\(h=\frac{3V}{\pi r^2}\)

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Answer

You would add 17 to 51 so it would be 68 degrees

Step-by-step explanation:

Answer:

51 = h − 17

Step-by-step explanation:

Took the test and that was the correct answer. <3

Answer:

Kindly check explanation

Step-by-step explanation:

regression to fit

x1 0 1 1 2 2 3 3 4 4

x2 0 1 2 1 2 1 2 1 2

y 15.1 17.9 12.7 25.6 20.5 35.1 29.7 45.4 40.2

Using technology ;

The multiple linear regression fit for the data is :

y = 9.025x1 - 5.704x2 + 14.461

Where 9.025 and - 5.704 are the slope values of x1 and x2 respectively.

14.461 = intercept.

The Correlation Coefficient, R from the output is 0.998 ; this depicts a strong positive relationship  between the independent variables and dependent variable.

First we need to take the - signal

So the difference between the graphs y = -4x and y = 4x is that they are mirrored by the y-axis

Now we have the graph y = 4x and want the graph y = 4x + 3

We just need to move the graph y = 4x 3 units to the left

So the transformations we need is to move it 3 units to the left and to mirror it by the y-axis

Answer:

The area of the shaded region is 36.

Step-by-step explanation:

First, let's find the area of the rectangle as a whole, which will be 5*10 = 50. How did we get 50? The right side is 5 (from 2+3), and the top is 10 (3+7). Multiplying those numbers together will give you the area.

Now, the problem asks to find the shaded region. Let's solve for the area of the non-shaded region: (7*2) = 14.

Now, we can subtract the whole rectangle area minus the non-shaded region to find the shaded region:

50 - 14 = 36

Answer:

first angle be 30°

second angle be 70°

third angle be 80°

Step-by-step explanation:

first angle be x

second angle be y

third angle be z

x+y+z=180

given, y+z = 5x; z=5x-y

also, z=y+10

5x-y = y+10

5x= 10+y+y = 10+2y

x= (10+2y)/5

x+y+z=180

(10+2y)/5 + y + y+10 = 180

(10+2y)/5 = 180 -2y -10

(10+2y)/5 = 170-2y

multiply both sides by 5

10+2y = 5(170-2y)

10+2y= 850-10y

2y+10y = 850-10

12y= 840

y= 840/12 = 70°

z=y+10 =70+10= 80°

5x= (10+2y) = 10+2(70) = 10+140= 150

x = 150/5 = 30°