Mathematics College

John wants to evaluate the expression (5 + 3)^2.
As a first step, he writes 5^2+ 3^2. Will he get the correct value for the
expression? If not, what should he do to evaluate the expression?
Please help write the correct answer.

Answers

Answer 1

Answer:

5+3 x 2=64

Step-by-step explanation:

(5+3) x 2 5^2+3^2=34 not 64

8 x 2 = 64

Answer 2

Answer:

Step-by-step explanation:

Hope this helped

Related Questions

Most U.S. households spend about 5% of their income on entertainment. Which of the following are equivalent to 5%? Choose all equivalent expressions.
A. 120
B. 15
C. 12
D. 0.05
E. 0.005

Answers

Answer:

1/20 and 0.05 :)

Step-by-step explanation:

What’s the correct answer for this?

Answers

Answer:

Option 4.

Step-by-step explanation:

The information is that the points G and H are the midpoints of ED and EF.

For example G will be (5 + (-2))/ 2 , (4 - 0) / 2 which is (1.5, 2).

If we calculate H it is (6.5, -3).

The answer is option 4.

What’s the answers

Answers

Answer:

Look below

Step-by-step explanation:

Since the opposite sides are congruent then the figure is a parallelogram.

About 24% of flights departing from New York’s John F. Kennedy International Airport were delayed in 2009. Assuming that the chance of a flight being delayed has stayed constant at 24%, we are interested in finding the probability of 10 out of the next 100 departing flights being delayed. Noting that if one flight is delayed, the next flight is more likely to be delayed, which of the following statements is correct? Group of answer choices

Answers

Answer:

Step-by-step explanation:

The question is incomplete. The missing part is:

(A) We can use the geometric distribution with n = 100, k = 10, and p = 0.24 to calculate this probability. (B) We can use the binomial distribution with n = 10, k = 100, and p = 0.24 to calculate this probability. (C) We cannot calculate this probability using the binomial distribution since whether or not one flight is delayed is not independent of another. (D) We can use the binomial distribution with n = 100, k = 10, and p = 0.24 to calculate this probability

Solution:

In binomial probability, the assumption is that there is only one outcome for each trial. This is because the probability of success or failure is constant. Each trial is also independent of the other trial. This means that the probability of event A happening does not depend on the outcome of event B.

In the given scenario, the probability of a flight being delayed depends on the probability of the previous flight being delayed. It means that the outcomes are not independent. In geometric probability, a trial is repeated until success is achieved. The outcomes are also independent. Therefore, the correct option is

(C) We cannot calculate this probability using the binomial distribution since whether or not one flight is delayed is not independent of another.

The statement that is correct would be:

C). We cannot calculate this probability using the binomial distribution since whether or not one flight is delayed is not independent of another.

Binomial probability

In the case of binomial probability, it is assumed that the outcome occurring for every trial would remain 1 only because there is consistency in terms of success or defeat.

This implies that the outcome of one will not impact the other's result.

Since the third statement shows that there is no possibility of estimating the probability by employing the method of binomial distribution as one flight's taking off or delay will not impact the other and they remain independent.

Thus, option C is the correct answer.

Learn more about "Probability" here:

brainly.com/question/795909

The options are missing in the question. They are provided as follows:

(A) We can use the geometric distribution with n = 100, k = 10, and p = 0.24 to calculate this probability.

(B) We can use the binomial distribution with n = 10, k = 100, and p = 0.24 to calculate this probability.

(C) We cannot calculate this probability using the binomial distribution since whether or not one flight is delayed is not independent of another. (D) We can use the binomial distribution with n = 100, k = 10, and p = 0.24 to calculate this probability

un cono mide 3 pulgadas de diámetro. a este cono le caben 12 pulgadas cúbicas de agua. redondeada a la pulgada más cercana. ¿ cuál es la altura del cono?

Answers

83 cm ? if not i am sorry

Write the equation of the line that passes through (7,-4) and (-1,2) in slope-intercept form.

Answers

Answer:

slope intercept form y = m x +C

[tex]y = \frac{4x}{3} -\frac{40}{3}[/tex]

Step-by-step explanation:

step(i):-

Given two points are A (7,-4) and B(-1,2)

Slope of two lines formula

[tex]m= \frac{y_{2} -y_{1} }{x_{2} -x_{1} } = \frac{-1-7}{2-(-4)} =\frac{-8}{6} = \frac{4}{3}[/tex]

Step(ii):-

The equation of the straight line passing through the two points

y-y₁ = m(x-x₁)

Let (x₁ , y₁) = (7,-4)

y - (-4) =[tex]\frac{4}{3}[/tex] (x-7)

On cross multiplication , we get

3(y+4) = 4(x-7)

3 y +12 = 4 x -28

subtract '12' on both sides , we get

3 y = 4 x -28 -12

3 y = 4 x - 40

Dividing '3' on both sides, we get

Now slope intercept form y = m x +C

[tex]y = \frac{4x}{3} -\frac{40}{3}[/tex]

Final answer:-

slope intercept form y = m x +C

[tex]y = \frac{4x}{3} -\frac{40}{3}[/tex]

Solve and type in a different form by using the given theorems of logarithms.
log10 Mk =

Answers

Answer: log1= 1

not sure about Mk

Answer:

k*log_10M

Step-by-step explanation:

take the k and put it in front of the equation and it cannot be further simplified.

16 less than a number is 49. Find the number.

Answers

Answer:

the number is 65.

Step-by-step explanation:

n-16=49

n=65

Therefore, the number is 65.

plzzzzzzzzzzzzzzzz Help Marshmello i wasn't born yesterday.

Answers

Answer:

82.45

Step-by-step explanation:

The price of the purse is 75.99 and tax is 8.5%

Tax = price time tax rate

tax = 75.99*.085

tax =6.45915

Rounding to the nearest cent

tax = 6.46

Add this to the price of the purse

total cost = 75.99+6.46

82.45

A study showed that 14 of 180 publicly traded business services companies failed a test for compliance with Sarbanes-Oxley requirements for financial records and fraud protection. Assuming that these are a random sample of all publicly traded companies, construct a 95% confidence interval for the overall noncompliance proportion. (Round your answers to 4 decimal places.)

Answers

Answer:

The 95% confidence interval for the overall noncompliance proportion is (0.0387, 0.1169).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

For this problem, we have that:

[tex]n = 180, \pi = \frac{14}{180} = 0.0778[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.0778 - 1.96\sqrt{\frac{0.0778*0.9222}{180}} = 0.0387[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.0778 + 1.96\sqrt{\frac{0.0778*0.9222}{180}} = 0.1169[/tex]

The 95% confidence interval for the overall noncompliance proportion is (0.0387, 0.1169).

Write the number 2.4 in the form a/b using integers

Answers

Answer:

[tex]2\frac{4}{10}=\frac{24}{10}=\frac{12}{5}[/tex]

Step-by-step explanation:

Here we have a number in the ones place, 2, and a number in the tenths place, 4.

Any number in front of the decimal becomes the whole number in front of the mixed number fractionThe numerator will be any number after the decimalThe denominator will be the value of the place the number after the decimal is in

Here our whole number is 2, the numerator is 4, and it is in the tenths place, so our denominator will be 10

Our fraction becomes [tex]2\frac{4}{10}[/tex] which then turns into the improper fraction [tex]\frac{24}{10}[/tex] and then simplifying if needed becomes [tex]\frac{12}{5}[/tex] after dividing the fraction by 2

42% of jacksons halloween candy from last year was chocolate. what fraction of his candy's chocolate

Answers

Answer:

21/50

Step-by-step explanation:

Given that Jackson's sweets from last Halloween from last year was 42% chocolate, we can assume he had a total of 100 sweets.

Out of 100 sweets, 42 pieces are chocolate, so:

42/100

When simplifying this fraction into its simplest form, the most you can do is divide the numerator(top) and denominator(bottom) by 2.

Your result would be 21/50

Hope this helps!

x and y are supplementary angles. y measures 108
What is the measure of x?

Answers

Answer:

126

Step-by-step explanation:

this is because you have 3 angles so its a triangle you have 360 degrees so 360 - 108 = 252 you need to divide it by 2 as there are 3 angles so you get 126 i hope it helps

What integer can be represented by 22 positive tiles and 21 negative tiles?

A. 1
B. 6
C. -1
D. 43

Answers

Answer:

option A is your answer in my opinion.

Sry i am not sure

Find the sum. Write your answer in simplest form. 1 1/2 + 2 3/10

Answers

Answer:

[tex] = 3 \frac{4}{5} \\ [/tex]

Step-by-step explanation:

[tex] 1\frac{1}{2} + 2 \frac{3}{10} \\ \frac{3}{2} + \frac{23}{10} \\ \frac{15 + 23}{10} \\ = \frac{38}{10} \\ = 3 \frac{8}{10 } \\ = 3 \frac{4}{5} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

What is the value of x?

Answers

Answer:

5.6

Step-by-step explanation:

We want to find the value of x, which is part of the segment that includes the length 10.

We need to use Power of Points, one property of which essentially says that if we have two intersecting chords such that they are each cut into two parts to make a and b, and c and d, then ab = cd (see attachment).

Here, we can say that a = 10, b = x, c = 7, and d = 8. Plug these in:

ab = cd

10 * x = 7 * 8

10x = 56

x = 56/10 = 5.6

The answer is 5.6.

Each diagonal has two parts (a, b, c, and d).

The formula is ab = cd

We have the values:

a = 10

b = x

c = 8

d = 7

Put these in the formula:

10x = (8)(7)

Solve for x.

10x = (8)(7)

10x = 56

10x/10 = 56/10

x = 5.6

Therefore, the answer is x = 5.6

Best of Luck!

y+1 y+8 y+2 y+7
----- + ----- = ----- + -----
y+2 y+9 y+3 y+8

find y
plssssss help this is fraction

Answers

[tex]\dfrac{y+1}{y+2}+\dfrac{y+8}{y+9}=\dfrac{y+2}{y+3}+\dfrac{y+7}{y+8}[/tex]

Write all fractions in terms of a common denominator:

[tex]\dfrac{y+1}{y+2}=\dfrac{(y+1)(y+9)(y+3)(y+8)}{(y+2)(y+9)(y+3)(y+8)}[/tex]

[tex]\dfrac{y+8}{y+9}=\dfrac{(y+8)^2(y+2)(y+3)}{(y+2)(y+9)(y+3)(y+8)}[/tex]

[tex]\dfrac{y+2}{y+3}=\dfrac{(y+2)^2(y+9)(y+8)}{(y+2)(y+9)(y+3)(y+8)}[/tex]

[tex]\dfrac{y+7}{y+8}=\dfrac{(y+7)(y+2)(y+9)(y+3)}{(y+2)(y+9)(y+3)(y+8)}[/tex]

Then move all fractions to one side and simplify the numerator:

[tex]\dfrac{(y+1)(y+9)(y+3)(y+8)+(y+8)^2(y+2)(y+3)-(y+2)^2(y+9)(y+8)-(y+7)(y+2)(y+9)(y+3)}{(y+2)(y+9)(y+3)(y+8)}=0[/tex]

The numerator dictates when the fraction reduces to 0. The denominator can never be 0, so we know that y cannot take any of the values -2, -9, -3, nor -8.

So the equation reduces to

[tex](y+1)(y+9)(y+3)(y+8)+(y+8)^2(y+2)(y+3)-(y+2)^2(y+9)(y+8)-(y+7)(y+2)(y+9)(y+3)=0[/tex]

Expand the left side; you would end up with

[tex]-6(2y+11)=0[/tex]

[tex]2y+11=0[/tex]

[tex]2y=-11[/tex]

[tex]\implies\boxed{y=-\dfrac{11}2}[/tex]

What is the volume of this rectangular prism 5/2 cm 4 cm 1/2

Answers

Answer:

[tex]5cm ^{3} [/tex]

Step-by-step explanation:

[tex]v = whl \\ = \frac{5}{2} \times \frac{4}{1} \times \frac{1}{2} \\ = \frac{20}{4} \\ = 5 {cm}^{3} [/tex]

(50 POINTS) Complete the square to find the center and radius of each circle.