Help please, its due at 9:00 PM!

Answer:\(a^2-b^2=3\)

Step-by-step explanation:

We need to find the value of the below expression i.e.

\(a^2-b^2\) when a = 2 and b = 1.

So,

Put a = 2 and b = 1 in the above expression. So,

\(a^2-b^2=(2)^2-1^2\\\\=4-1\\\\=3\)

Hence, the value of the expression is equal to 3.

Answer:

I believe the top one is true! I'm sorry I couldn't answer them all :c

Step-by-step explanation:

Step-by-step explanation:

john put 25 dollars in a jar and his wife put 35 dollars in the savings jar as well so save for there trip coming up

Answer:

Sally borrowed twenty-five dollars from Alex to buy a movie at the store. Later, she borrowed another thirty-five dollars to buy ride tickets at the state fair. How much money does she owe Alex?

Step by-step explanation:

When you have an even number of negative numbers in an equation, the answer will always be positive. When there's an odd number of negative numbers, the answer will be negative. For a problem like this, you can ignore the negative signs and focus on the numbers. 25+35 is 60, so Sally owes Alex 60 dollars.

                  Hope this helps!

The required perimeter of the triangle with vertices (-9,-6), (-5, 0), and (10,-7) is 42.72 units.

The distance between two points (x₁, y₁) and (x₂, y₂) in the plane can be found using the distance formula,

d = √((x₂- x₁² + (y₂ - y₁)²)

Here

Using the above formula, we can find the length of each side of the triangle:

Length of the first side:

d = √((-5 - (-9))² + (0 - (-6))²)
   = √(4² + 6²)
   = √52 = 7.2

Similarly, the length of the second and third sides:

d =√274 = 16.5

Length of the third side:

d =  √362 = 19.02

Finally, the perimeter of the triangle is the sum of the lengths of its sides, P = 7.2 + 16.5 + 19.02
P = 42.72 units

So, the perimeter of the triangle is approximately 42.72 units.

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The given expression is equivalent to z(i) = 21 + 12i.

       \(${\displaystyle z=re^{i\varphi }=r(\cos \varphi +i\sin \varphi )}\)

       where {r} is the absolute value of z, and {φ} is the argument of z.

Given is the complex expression -

z(i) =  (3 - 4i)(1 + 5i) - (2 - i)

The given complex expression is -

z(i) =  (3 - 4i)(1 + 5i) - (2 - i)

z(i) = 3(1 + 5i) - 4i(1 + 5i) - (2 - i)

z(i) = 3 + 15i - 4i - 20i² - 2 + i

z(i) = 3 - 2 + 15i - 4i + i - 20i²

z(i) = 1 + 12i - 20i²

z(i) = 1 + 12i + 20

z(i) = 21 + 12i

Therefore, the given expression is equivalent to z(i) = 21 + 12i.

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{Complete question -

Simplify the expression (3-4i)(1+5i)-(2-i). Please show your work}

The three consecutive multiples of 3 are 15, 18 and 21

First, let's determine three successive multiples of 3:

The subsequent two would be "x+3" and "x+6" if we call the initial number "x".

Since we are aware that the third number (x+6) is one more than the first two numbers (x + x+3), we can write the following equation:

2/3(x + x+3) = (x+6) + 1

Simplifying this equation, we get:

2/3(2x+3) = x+7

Multiplying both sides by 3, we get:

2(2x+3) = 3(x+7)

Expanding and simplifying, we get:

4x + 6 = 3x + 21

Subtracting 3x and 6 from both sides, we get:

x = 15

Therefore, the three consecutive multiples of 3 are 15, 18 and 21

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Answer:

1) Null hypothesis:\(p \geq 0.4\)  

Alternative hypothesis:\(p < 0.4\)  

2) \(z=\frac{0.38 -0.4}{\sqrt{\frac{0.4(1-0.4)}{500}}}=-0.913\)  

3) \(p_v =P(z<-0.913)=0.1806\)  

4) For this case since the p value is higher than the significance level so then we FAIL to reject the null hypothesis and we can conclude that the true proportion is not significantly less than 0.4

a. Fail to reject the null hypothesis

Step-by-step explanation:

Information given

n=500 represent the random sample taken

\(\hat p=0.38\) estimated proportion of if the people they are confident of meeting their goals  

\(p_o=0.4\) is the value to test

represent the significance level

z would represent the statistic

\(p_v\) represent the p value

Part 1

We want to test if the true proportion is less than 0.4, the system of hypothesis are.:  

Null hypothesis:\(p \geq 0.4\)  

Alternative hypothesis:\(p < 0.4\)  

a. left-tailed

Part 2

The statistic is given by:

\(z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}\) (1)  

Replacing the info given we got:

\(z=\frac{0.38 -0.4}{\sqrt{\frac{0.4(1-0.4)}{500}}}=-0.913\)  

Part 3

The p value for this case can be calculated like this:

\(p_v =P(z<-0.913)=0.1806\)  

Part 4

For this case since the p value is higher than the significance level so then we FAIL to reject the null hypothesis and we can conclude that the true proportion is not significantly less than 0.4

a. Fail to reject the null hypothesis

Answer:

you have to convert them to equivalent units (the same denominators)

Step-by-step explanation:

first, multiply  2 and 7 by 4.

now you have 8/21.

then, make the other fraction the same value.

multiply 1 and 4 by 7.

7/21.

now your equation is 7/21 + 8/21= 15/21.

Answer:

A proof for the statement by selecting the given sentences are as follows;

Suppose there is an integer m such that 7·m + 4 is divisible by 7

By definition of divisibility, 7·m + 4 = 7·k for some integer k

Subtracting 7·m from both sides of the equation gives 4 = 7·k - 7·m = 7·(k - m)

Dividing both sides of the equation by 7 results in 4/7 = k - m

But k - m is an integer and 4/7 is not an integer

Therefore, for every integer m, 7·m + 4 is not divisible by 7

Step-by-step explanation:

The given equation can be expressed as follows;

Where 7·m + 4 is divisible by 7, we have;

7·m + 4 = 7·k

Where 'k' is an integer

We have;

7·m + 4 - 7·m = 4 = 7·k - 7·m

∴ k - m = 4/7, where k - m is an integer

∴ k - m cannot be equal to 4/7, from which we have;

7·m + 4 cannot be divisible by 7.

The domain and range of the given inequality graph are; Domain: {x | -2 ≤ x ≤ 2} and Range: {x | -6 ≤ x ≤ 6}

The domain of a function is the set of all possible input values that make a function possible. Meanwhile the range of a function is the set of all possible output values that make a function possible.

Now, when dealing with an inequality graph, it is pertinent to note that a shaded dot implies less than or equal to (≤) or greater than or equal to (≥) while unshaded means less than or greater than.

Now. the range of the graph is closed from y = -6 to y = 6. Thus, the range is; {y| -6 ≤ y ≤ 6}

Meanwhile the domain of the graph is closed from x = -2 to x = 2. Thus, the domain of the graph is;

{x | -2 ≤ x ≤ 2}

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Answer:

1.64

Step-by-step explanation:

Answer:

$1. 65

Step-by-step explanation:

9.88/6 is 1.64666 and rounding yo the nearest hundreth you get 1.65

The probability of the complement of the event is 0.05.

The complement of an event is the probability of that event not occurring. The relationship between the probability of an event and its complement is that they always add up to 1.

Therefore, if the probability of an event occurring is p, then the probability of its complement not occurring is 1-p.

In the case where the probability of an event is 0.95, the probability of its complement not occurring would be 1-0.95 = 0.05. This means that the probability of the complement of the event is 0.05.

This concept is important in probability theory and is used to calculate the probabilities of events and their complements. It allows us to consider all possible outcomes of a given situation and calculate the likelihood of each of them.

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Answer:

z = 10

Step-by-step explanation:

The value of the z-statistic is given by:

\(z = \frac{X - \mu}{s}\)

In which:

X is the measured value.

\(\mu\) is the expected value.

\(s = \frac{\sigma}{\sqrt{n}}\) is the standard deviation of the sample. \(\sigma\) is the standard deviation of the population.

In this question:

The mean length was 2.9 inches, and the population standard deviation is 0.1 inch.

This means that \(\mu = 2.9, \sigma = 0.1\)

Random sample of 100 screws.

This means that n = 100.

To see if the batch of screws has a significantly different mean length from 3 inches, what would the value of the z-test statistic be?

3 inches, so \(X = 3\)

\(s = \frac{0.1}{\sqrt{100}} = 0.01\)

\(z = \frac{X - \mu}{s}\)

\(z = \frac{3 - 2.9}{0.01}\)

\(z = 10\)

Answer:

-10

Step-by-step explanation:

If we first note the denominator of fraction numerator sigma over denominator square root of n end fraction equals fraction numerator 0.1 over denominator square root of 100 end fraction equals fraction numerator begin display style 0.1 end style over denominator 10 end fraction equals 0.01

Then, getting the z-score we can note it is z equals fraction numerator x with bar on top minus mu over denominator begin display style 0.01 end style end fraction equals fraction numerator 2.9 minus 3 over denominator 0.01 end fraction equals negative 10

This tells us that 2.9 is 10 standard deviations below the value of 3, which is extremely far away.

The linear function graphed is defined as follows:

y = 3x/2 - 3.

(third option).

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The graph crosses the y-axis at y = -3, hence the intercept b is given as follows:

b = -3.

When x increases by 2, y increases by 3, hence the slope m is given as follows:

m = 3/2.

Then the function is defined as follows:

y = 3x/2 - 3.

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Answer:

hi!

First we need to see how many beads she collected in total at the end of the summer: 65+25=90 beads at the end of the summer

she gives to each of her friends 90:6(friends)=15 beads for each (answer B)

hope i helped!

ig: landonorris

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Answer:

About 432 people read at least one book per month.

Step-by-step explanation:

36/50 people read at least one book, multiply 36/50 by 12 to make the fraction 432/600.

The amount that Ethan pays for the video game is 47.988.

From the information illustrated, it should be noted that it was stated that Ethan buys video games for 39.99 sale on 20% tax.

In this case, the amount that he will pay will be:

= Original amount + Tax

= 39.99 + (20% × 39.99)

= 39.99 + 7.998

= 47.988

The amount is 47.988.

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Complete question

Ethan buys vidio games for 39.99 sale on 20% tax how much ethan payed

Answer:

The Prime Factorization of 80 is,  2 × 4 × 10, 2 × 2 × 2 × 2 × 5  and  2 × 4 × 10

Step-by-step explanation: They are correct, because they all equal 80. 2 × 4 × 10=80 and  2 × 4 × 10=80, and 2 × 2 × 2 × 2 × 5=80.

24 × 5=120, Therefore it's the only incorrect question.

The term  2 x 2 x 2 x 2 x 5 shows the prime factorization of 80.

Prime factorization is the process of dissecting a number into the prime numbers that contribute to its formation when multiplied. In other terms, it is known as the prime factorization of the number when prime numbers are multiplied to get the original number.

Given the number 80

factors of 80 are 2 x 2 x 2 x 2 x 5

and given factors,

2 x 4 x 10,

2 x 2 x 2 x 2 x 5,

2 x 5 x 8,

24 x 5

all are the factors of 80 except 24 x 5,

but the correct representation of the prime factorization of 80 is

2 x 2 x 2 x 2 x 5

Hence option B is correct.

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Answer:

$285.12

Step-by-step explanation:

Start by finding the discount price

$480 * 0.45 = 216

Now subtract

$480 - 216 = 264

Then you will need to find the sales tax

264 * 0.08 = 21.12

now add

21.12 + 264 = 285.12

$264.00

45% off means that the new price of the desk will be 55% of the original price.

$480.00(100-45) = $480.00(55)

Converting the percent to a decimal gives:

$480.00(0.55)

Your Answer:

$264

Answer:

57.0°, 123.0°

84.0°, 96.0°

56.9,

Step-by-step explanation:

Given:

a = 36, c = 48, ∠A = 39°

∠B1 is larger than ∠B2

Find attached the diagram.

We would apply sine rule to find ∠C

a/sinA = c/sinC

36/sin39° = 48/sinC

36sinC = 48sin39

sinC = 48sin39/36 = 48(0.6293)/36

sin C = 0.8391

C = arcsin(0.8391)

C= 57.045

∠C1 = C = 57.0° (1 decimal place)

For sine rule, angles which give same value are x and (180-x)

If C= x = 57.0°

180-x = 180 - 57.0° = 123°

∠C2 = 123.0°

sin57° = sin123° = 0.8387

∠A + ∠B + ∠C = 180° (sum of angles I'm a triangle)

39.0 + ∠B +57.0 = 180°

∠B = 180-(39+57)

∠B = 84.0°

∠B1 = 84.0°

∠B2 = 180-∠B1 = 180°-84.0°

∠B2 = 96.0°

∠B1 is smaller than ∠B2

b/sinB = c/sinC

b1/sinB1 = c1/sinC1

b/sin84 = 48/sin57

b = 48sin84/sin57

b = 56.9

The measure of C is 57.0 and the measure of B is 84.0 degrees

The given parameters are:

\(\mathbf{a = 36cm}\)

\(\mathbf{c = 48cm}\)

\(\mathbf{\angle A = 39^o}\)

The measure of angle Ais calculated using the following sine formula

\(\mathbf{\frac{a}{sin\ A} = \frac{c}{sin\ C}}\)

So, we have:

\(\mathbf{\frac{36}{sin\ 39} = \frac{48}{sin\ C}}\)

Evaluate sin 39

\(\mathbf{\frac{36}{0.6293} = \frac{48}{sin\ C}}\)

Cross multiply

\(\mathbf{sin\ C \times 36 = 48 \times 0.6293}\)

\(\mathbf{sin\ C \times 36 = 30.2064}\)

Divide both sides by 36

\(\mathbf{sin\ C= 0.8391}\)

Take arc sin of both sides

\(\mathbf{C = sin^{-1}(0.8391)}\)

\(\mathbf{C = 57.0}\)

The value of B is:

\(\mathbf{B = 180 - A - C}\)

So, we have:

\(\mathbf{B = 180 - 39 - 57.0\\}\)

\(\mathbf{B = 84.0}\)

Hence, the measure of C is 57.0 and the measure of B is 84.0 degrees

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Answer:

just divide them i think

Step-by-step explanation:

Answer:

thats not an answer?

Step-by-step explanation:

Approximately 17.65% of Ana's salary is withheld for taxes.

To calculate the percentage of Ana's salary that is withheld for taxes, we need to determine the amount of tax withheld and then express it as a percentage of her net salary.

Number of hours worked per week (H) = 25 hours

Hourly wage (W) = $10

Net salary (S) = $212.50

Calculate the total earnings before taxes:

Total earnings = Hours worked * Hourly wage

Total earnings = 25 hours * $10/hour

Total earnings = $250

Determine the amount of tax withheld:

Tax withheld = Total earnings - Net salary

Tax withheld = $250 - $212.50

Tax withheld = $37.50

Calculate the percentage of salary withheld for taxes:

Percentage withheld = (Tax withheld / Net salary) * 100

Percentage withheld = ($37.50 / $212.50) * 100

Percentage withheld ≈ 17.65%

Therefore, approximately 17.65% of Ana's salary is withheld for taxes.

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Answer:5/5

Step-by-step explanation:

The percent decrease in the number of ponds that support brook trout would be approximately 47.37%.

To calculate the percent decrease in the number of ponds that support brook trout, we need to determine the difference between the initial number of ponds and the final number of ponds, and then express that difference as a percentage of the initial number of ponds.

Initial number of ponds: 19

Final number of ponds: 10

To calculate the percent decrease, we can use the following formula:

Percent Decrease = (Difference / Initial Value) * 100

Let's apply this formula to the given data:

Difference = Initial number of ponds - Final number of ponds

Difference = 19 - 10

Difference = 9

Percent Decrease = (9 / 19) * 100

Now, let's calculate the percent decrease:

Percent Decrease = (9 / 19) * 100

Percent Decrease ≈ 47.37%

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Answer:

Average rate of change = 4/3

Step-by-step explanation:

We have to calculate the average rate of change of the graph at x = 2 to x = 5.

From the graph attached,

At x = 2,

f(2) = 3

At x = 5,

f(5) = 7

Since, average rate of change of the function between x = a and x = b is defined by,

Average rate of change = f (b)-f (a) / b - a
                                         

Therefore, average rate of change of the function represented by the graph will be =7-3/5-2

          = 4/3

Answer:

B

Step-by-step explanation:

Answer:(x,y)↦(−x,−y)

Step-by-step explanation:

Answer:

3 6 8

Step-by-step explanation:

i just need them points.