For each of the right triangles, determine the measure of the missing side. Leave the measures in
exact form if irrational.
(if u can please show the work so i can get a better understanding)

The balance in Larry's savings account at the end of these 8 years is 1698 dollars and 84 cents

The given parameters are

Principal, P = 1287

Rate, R= 4%

Time, T = 8

The balance in dollars and cents in Larry's savings account at the end of these 8 years

Balance = P * PRT

This gives

Balance = 1287 + 1287 * 4% * 8

Evaluate

Balance = 1698.84

Hence, the balance in Larry's savings account at the end of these 8 years is 1698 dollars and 84 cents

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Answer:

4n

Step-by-step explanation:

The domain of the function is  (-∞,∞) and the simplified expression is x²-6x-40 .

A function's domain and range are its constituent parts. A function's  range is its potential output, whereas its domain is the set of all possible input values. Range, Domain, and Function. A is the domain and B is the co-domain if a function f: A B exists that maps every element of A to an element in B. 'b', where (a,b) R, provides the representation of an element 'a' under a relation R. The set of images is the function's range.

The given functions are

f(x)=6x+24

g(x)=x²-16

Now we have to find (g-f)(x) .

(g-f)(x)=x²-16-6x-24

or,(g-f)(x)=x²-6x-40

or,(g-f)(x)=x²-10x+4x-40

or,(g-f)(x)=x(x-10)+4(x-10)

or,(g-f)(x)=(x-10)(x+4)

So the domain of the function (g-f)(x) are the values for which the function exists. we can see that the function exists for all values of x.

Domain in set builder notation={x|x∈R}

Domain in interval notation=(-∞,∞)

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Answer:

3.5 or [tex]\frac{7}2}[/tex]

Step-by-step explanation:

4(x+2)-2=6x-2(4+x)

4x + 8 - 2 = 6x - 8 + 2x

4x + 6 = 8x - 8

14 = 4x

x = 3.5 or [tex]\frac{7}2}[/tex]

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Answer:

55

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the quadratic equation y = 2x² +7x -9, you want the coordinates of the x- and y-intercepts.

The values of x where y=0 can be found by factoring the equation.

  y = (2x +9)(2x -2)/2 = (2x +9)(x -1)

The constants 9 and -2 in the binomial terms are factors of the product of leading and trailing coefficients (2)(-9) = -18. Those factors are chosen because their sum is 7, the middle coefficient.

The x-intercepts are the values of x that make these factors zero:

  2x +9 = 0   ⇒   x = -9/2

  x -1 = 0   ⇒   x = 1

Points A and B are ...

The y-value at point C is where x=0. It is the constant in the quadratic equation.

  y = 2(0²) +7(0) -9 = -9

Point C is ...

Correct choice is B.) 45°

The solution is in attachment ! do check it

Step-by-step explanation:

6.25 points

Find the GCF for the list.

10m4, 40m⁹

10m5

40m4

10m4

6.25 points

hey

list

Answer:

ok then what's the correct answer?

Step-by-step explanation:

Answer: x > 75

Step-by-step explanation:

(85+84+69+82+x)/5 > 79

85+84+69+82+x > 395

x > 75

Answer:

1 pound (lb) is equal to 453.59237 grams (g)

Answer:

B is correct

Step-by-step explanation:

three fifths= 6/10= 0.6

since the quantity is to a power of (2×x)=2x

so B is correct

The number of subsets formed is 67,108,864.

Set 1 is said to be a subset of set 2 if all of its elements are present in it. A set is a clearly defined group of numbers, alphabets, items, or any other items.

The number of subsets of an n-element set is 2ⁿ.

As a result, the formula for determining the number of subsets of the a set with 'n' components is 2ⁿ.

For the given question;

A={x:x is letters of the alphabet}

Thus, the n = 26 (total letter is English alphabet).

Total subsets = 2ⁿ

Total subsets = 2²⁶ =  67,108,864.

Therefore, the total number of subsets formed by the English alphabet are 2²⁶ =  67,108,864.

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The proportion of people surveyed would be willing to pay more than $6.75 for a sandwich is 94.4%.

The normal distribution, also recognized as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data far from the mean.

As, for the given value in the question;

The formula for finding the z-score is;

z = (x - μ)/s

where,

n = sample size ( = 528)

σ = standard deviation ( = 1.19)

μ = mean of the sample (= 6.56)

Put the values and fine z-score.

z = (x - μ)/s

z = (6.75 - 6.56)/1.19

z = 0.19/1.19

z = 0.159

For the probability; see the p-value from the positive z-score table.

p(z > 0.159) = 0.944

p(z > 0.159) = 94.4%

Thus, the probability that the people would be willing to pay more than $6.75 for a sandwich is calculated as 94.4%.

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The complete question is -

A sample of 528 people were asked how much they would be willing to pay for a sandwich. Their responses were approximately normal with a mean of $6.56 and a standard deviation of $ 1.19.

What proportion of people surveyed would be willing to pay more than $6.75 for a sandwich?

The Type I error's computed value is 0.02275 and The Type II error has a computed value of 0.50 based on probability.

What is probability?

(a) Type I error probability if the critical region is defined as x < 11.5 kilograms

[tex]P(Type\ Error)=P\ xbar < 11.5\ when\ mu=12)\\\\[/tex]

[tex]=P(Z < \frac{11.5-12}{\frac{0.5}{\sqrt{4} } } )\\\\=P(Z < -2)\\\\=0.02275[/tex]

The Type I error's computed value is 0.02275.

Observe that there is a 2.275% likelihood of dismissing the null hypothesis if it is true based on the Type I error probability.

(b) β for the case in which the true mean elongation is 11.25 kilograms.

[tex]b= P(Type II Error)\\\\=P(xbar\geq 11.5\ when\ mu_1\ =11.25)[/tex]

[tex]=P(Z \geq \frac{11.5-12}{\frac{0.5}{\sqrt{4} } } )\\\\=P(Z \geq 1)\\\\= 1-P(Z < 1)\\\\=1-0.8413\\\\=0.1587[/tex]

The Type II error's computed value is 0.1587.

Observe that there is a 15.87% possibility of refusing to disprove the null hypothesis when it is untrue based on the Type II error probability.

(c)  β for the case in which the true mean is 11.5 kilograms.

[tex]b= P(Type II Error)\\\\=P(xbar\geq 11.5\ when\ mu_1\ =11.25)[/tex]

[tex]=P(Z \geq \frac{11.5-11.5}{\frac{0.5}{\sqrt{4} } } )\\\\=P(Z \geq 0)\\\\= 1-P(Z < 0)\\\\=1-0.50\\\\=0.50[/tex]

The Type II error has a computed value of 0.50.

Observe that there is a 50% possibility of neglecting to disprove the null hypothesis when it is untrue based on the Type II error probability.

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Answer: Raise

5

to the power of

4

= 625

Answer:

[tex]5^{4} =625..[/tex]

Step-by-step explanation:

[tex]5^{4} = 625[/tex]

[tex]=625[/tex]

hopefully this helps you :)

The speed of the fox should be 35/t + 40 to catch up to the rabbit.

Speed is the ratio of distance and time.

Speed = Distance / Time

We have,

The distance between the rabbit and fox = 35 feets

The rabbit's speed = 40 feet per second

Let fox's speed = F

Let the time taken to catch up to the rabbit = t

Now,

Rabbit's distance from fox after time t will be:

= 35 + (40 × t)

= 35 + 40t

Fox's distance after time t:

= F × t

Fox and rabbit distance must be the same in order for the fox to catch up with the rabbit.

35+40t = Ft

Dividing both sides by t.

35/t + 40 = F

Therefore the fox's speed must be 35/t + 40 in order to catch up with the rabbit.

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The Remaining length of the cardboard piece is  94.15 cm.

According to the statement

We have to find that the length of the remaining piece.

So, For this purpose, we know that the

Length is defined as the measurement or extent of something from end to end.

From the given information:

Four pieces measuring 29.cm, 19.62cm, 32.49cm and 24.74cm are cut from a board that is 200cm long.

Then

Total length of the four pieces become:

Four pieces length = 29+19.62+ 32.49 + 24.74

Four pieces length = 105.85 cm

Then the

Remaining length of the cardboard piece = total length - length of the four pieces.

Remaining length of the cardboard piece = 200 - 105.85

Remaining length of the cardboard piece = 94.15cm.

So, The Remaining length of the cardboard piece is  94.15 cm.

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The points which are a distance of 13 units from (12,5) are (0,0)and (24,0).

The distance between two point with co-ordinates ([tex]x_1,y_1[/tex])  and ([tex]x_2,y_2[/tex]) is calculated by the distance formula [tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

All points on the x-axis have their y-coordinates equal to 0. So let the point (a,0) be a point on the x-axis such that the distance from (12,5) to (a,0) is 13 units.

Let us substitute the values into the distance formula to calculate the values of a so that we can find the two points.

[tex]13=\sqrt{(12-a)^2+(5-0)^2}[/tex]

Squaring both sides we get:

[tex]or,13^2=144-24a+a^2+25\\or,169-144-25-24a+a^2\\or,a^2-24a=0\\or,a(a-24)=0[/tex]

Now either a=0 or (a-24)=0

Therefore either a=0 or a=24.

Therefore the two points (0,0) and (24,0) .

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The solution to the system of equation is (2, 7)

Given the  system of equation expressed as:

3x – y = -1  * 2

x – 2y = -12 * 1

________________

6x – 2y = -2

x – 2y = -12

Subtract to have;

6x-x = -2-(-12)

5x = 10

x = 2

Substitute x = 2 into 2 to have:

2 - 2y = -12

-2y = -14

y = 7

Hence the solution to the system of equation is (2, 7)

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Answer: 7x-6

Step-by-step explanation:

P=perimeter. L=length. W=width

P=2L+2W

P=2(x+1)+2(2.5x-4)

P=2x+2+5x-8

P=2x+5x+2-8

P=7x-6

For the given probability mass function of X, the mean is 3.5 and the standard deviation is 1.708.

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The length of all four sides of the Isoclesles Trapezium is 67 inches.

Area of a Trapezium is (1/2)(a+b)h.Where and b are the parallel sides of the trapezium and h is the distance between the two parallel side

We know that for a plane 2D figure perimeter is the sum of the lengths of all the sides.

Given an isosceles Trapezium with a perimeter of 67 inches,

As the sides are given in variables we can equate the sum of all the sides with the given perimeter and obtain the value of x.

∴ (x + 1.5x + 2.5x - 5 + x) = 67.

6x = 67 + 5.

6x = 72.

x = 12.

So, the measure of lengths of four sides are [ 12 + 1.5(12) + 2.5(12) - 5 + 12) which is ( 12 + 18 + 30 - 5 + 12 ) = 67 inches.

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Answer:

3x±4=2x±8

3x-2x=8-4

x=4

Step-by-step explanation:

Hope its helpful for you

Answer:7

Step-by-step explanation:

Answer: 20

Step-by-step explanation:

Multiply 2.4*10-4

Calculate 24-4

the answer is (12x^10000)/5

Answer:

b = 1

Step-by-step explanation:

5 = 5b

b = 1

Answer:

For each coin he has 6 dimes, 12 quarters, and 9 pennies.