In the figure below, mz1 = (4x + 50)° and
mz3 = (2x + 66)°.
3
a. What is the value of x?
b. What is the measure of m<3?
c. What is the measure of m22?

Answer:

15.4a + (-14)

Step-by-step explanation:

I had the same test :3

Answer: log4=0.60206    log15=1,17579

Step-by-step explanation:

[tex]log4=\\log2^2=\\2log2=\\2(0.30103)=\\0.60206\\\\log15=\\log(3*5)=\\log3+log5=\\0.47712+0.69897=\\1.17579[/tex]

Answer:

Step-by-step explanation:

we now that [tex]\sqrt[n]{x} *\sqrt[n]{y} =\sqrt[n]{xy}[/tex]

so:

[tex](\sqrt[3]{5} )(\sqrt[5]{25} )= \sqrt[3]{125} = 5[/tex]

Answer:

132

Step-by-step explanation:

.....................................

Height =15cm

Width=2cm

Length=5cm

The area of the rectangle Infront =15×5=75cm ²

1 determine the area of the rectangle on the left side of the rectangular prism

2 determine the area of the rectangle at the bottom of the rectangular prism

3 determine the total surface area (TSA) of the rectangular prism.

Step-by-step explanation:

Given that

To find

So, according to the question

Let's assume,

height = h = 15cm

length = l = 2cm

width = w = 5cm

So, from question,

    Area of rectangle in front = 15 cm x 5 cm

That's mean

   Rectangle in front have h = 15cm and l = 5cm.

We know the width from question w = 2cm.

So,

   Area of the rectangle to the left = h x w

                        = 15 x 2

                        = 30 cm²

Also,

 There is no height to the rectangle at the bottom.

So, l and w make up the bottom rectangle.

Now,

the area of rectangle at the bottom  = l x w

                        = 5 x 2

                        = 10 cm²

Now,

  The total surface area (TSA) of the rectangular prism = 2(lw + wh + lh)

                        = 2 ( 75 + 10 + 30)

                        = 2 x (115)

                        = 230cm²

So,

Answer:

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The probability that it has a mass of more than 120 g is 13/40.

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we might discuss the likelihood or likelihood of several outcomes. Statistics is the study of occurrences that follow a probability distribution.

Given,

frequency = 5   9   13   7   6

sum of frequency = 40

P(120<m<=180) = 13/40

P(180<m<=240) = 7/40

P(240<m<=300) = 6/40

Probability that it has a mass of more than 120 g = [P(120<m<=180) + P(180<m<=240) + P(240<m<=300) ]

⇒ 13/40 + 7/40 + 6/40

= 26/40

= 13/20

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Sophia will be twice as old as Maya in 3 years  

From the question, we are to determine the number of years when Sophia will be twice as old as Maya

From the given information,

"Maya is 12 years old"

and

"Sophia is 15 years older than Maya"

Thus,

Sophia is 12 + 15 years

Sophia is 27 years

Let the number of years when Sophia will be twice as old as Maya be x

Then,

27 + x = 2(12 + x)

Solve for x

27 + x = 24 + 2x

27 - 24 = 2x - x

3 = x

x = 3

Hence, Sophia will be twice as old as Maya in 3 years  

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So the best actor's age deviates from the mean, he receives the award at the most extreme age.

In response to this question:

Whichever z-score does have the highest absolute value, such that, the one that deviates the most from the mean, has a most extreme age.

Best actor: 31 years old, so.

The mean age of the best actors is 42.2 years, with a standard deviation of 8.2 years.

z = (x - μ)/σ

Put the values;

z = (31 - 42.2)/ 8.2

z = -1.36

Best actress:

So, at the age of 42,

The mean of the best actresses is 31.6 years, with a standard deviation of 10.3 years.

z = (x - μ)/σ

Put the values;

z = (42 - 31.6)/10.3

z = 1.01

Thus, Because the best actor's age is further from the mean, he has the most extreme age when receiving the award.

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The stretch length is 27/8 inches

The given parameters are

Unstretch = 1 1/8 inches

Stretch = 4 1/2 inches

The length of stretch is calculated using

Length = Stretch - Unstretch

So, we have

Length = 4 1/2 - 1 1/8

Evaluate the difference

Length = 3 3/8

Express as improper fraction

Length = 27/8

Hence, the stretch length is 27/8 inches

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Answer:

x=|4/3|

Step-by-step explanation:

3|2x|=12-4

|2x|= 8/3

x=4/3

Array A = [1, 0, 0, 1, 0, 0], there are four coins showing heads and two showing tails.

def solution(A):

n = len(A)

dp = [[0 for x in range(2)] for y in range(n)]

if A[n-1] == 0:

  dp[n-1][0] = 0

  dp[n-1][1] = 1

else:

  dp[n-1][0] = 1

  dp[n-1][1] = 0

for i in reversed(range(len(A)-1)):

  if A[0] == 0:

    dp[i][0] = dp[i+1][1]

    dp[i][1] = dp[i+1][0] + 1

  else:

    dp[i][0] = dp[i+1][1] + 1

    dp[i][1] = dp[i+1][0]

return min(dp[0][0], dp[0][1])

An array of computer drives is a collection of two or more drives that operate as a single drive. For instance, in a RAID array, a user may make use of numerous drives that are mirror images of one another to help secure the data stored on the drives.

A data structure called an array consists of a set of elements (values or variables), each of which is identifiable by an array index or key. Depending on the language, additional data types that describe aggregates of values, such lists and strings, may overlap (or be associated with) array types.

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Answer:

6 to the 3rd power ÷ 4 + 2 ×9(256-17×4)

6 to the 3rd power ÷ 4 + 2 ×9(256-68)

6 to the 3rd power ÷ 4 + 2 ×9×188

216 ÷ 4 + 2 × 1692

216 ÷ 4 + 3384

54 + 3384

=3438

Answer:

  14

Step-by-step explanation:

You want the greatest common factor of the terms {98ab^3, 84a, 140b, 112ab​}.

There are no variables that are common to all terms. 'a' and 'b' are each common to 3 of the 4 terms, but not all.

The greatest common factor of the constants cannot be larger than the smallest difference of the constants. That difference is ...

  98 -84 = 112 -98 = 14

Since 14 is a divisor of all of the constants, 14 is the greatest common factor.

__

Additional comment

Factoring out the greatest common factor, we have ...

  = 14{7ab³, 6a, 10b, 8ab}

Answer:

8.7*10^12

Step-by-step explanation:

Answer:

374.99 or rounded up to 375

Step-by-step explanation:

First we need to take 47,000 and divide it by 12 to find the monthly income.

47,000/12 is 3916.66

now subtract 3541.67 from 3916.66

The reasonable domain for this situation is { 1, 2, 3, 4, 5, 6 }.

A set is a well defined collection of objects.Set are represented by many forms two of them are set builder form and roaster form.

According to the given question The cost of a dozen eggs is 2.50 dollars.

At this store you must by them in packs by the dozen and they do not allow you to buy more than 6 dozen eggs at a time,So we can buy eggs in dozen from 1 dozen to 6 dozen.

This can be represented in roaster form by { 1, 2, 3, 4, 5, 6 }.

This can also be represented by set builder form as { x : x ∈ N and 1≤x≤6 }  

where x represents no. of dozens of egg.

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Step-by-step explanation:

u find 2 percent of 15000 which is 2/100×15000 to find the annual interest then divide it by 2 to find 6 months 300 is the yearly interest so 6 months will be 150

(b) here u add the 150 gotten from a to 15000 giving u 15150

With the partial product method the multiplication answer is 4725.

According to the statement

We have to find that the by which strategy for multiplying 75 and 63 should result In the correct product.

So, For this purpose, we know that the

The partial product method involves multiplying each digit of a number in turn with each digit of another where each digit maintains its place.

From the given information:

We have to multiply the numbers 75 and the 63.

Then

According to the above written strategy,

75 = 70+5 and

63 = 60+3

Then

75*63 = (70*60) + (70*3) + (5*60) + (5*3)

then solve it

75*63 = (4200) + (210) + (300) + (15)

75*63 =  4410 +  315

75*63 =  4725.

So, With the partial product method the multiplication answer is 4725.

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Answer:

Step-by-step explanation:

12(5m-n)

No, jacob is not correct.

A fraction consisting of a quotient and remainder is a mixed fraction. we can convert the mixed fraction to improper fraction by first dividing the numerator by denominator and then taking the quotient as whole number and remainder as the numerator of proper fraction keeping the denominator same.

We are given that;

Expression= 1/3 + 6sqrt5/7

Now,

The sum of the expression 1/3 + 6sqrt5/7 is not rational, even though it is a fraction. A rational number is a number that can be written as the ratio of two integers, such as 1/3 or -4/5. An irrational number is a number that cannot be written as the ratio of two integers, such as sqrt2 or pi.

The expression 1/3 + 6sqrt5/7 contains an irrational term, 6sqrt5/7. This term cannot be simplified to the ratio of two integers, because sqrt5 is irrational. Therefore, adding this term to 1/3 does not make it rational. The sum of a rational and an irrational number is always irrational.

Therefore, by the fraction the answer will be No.

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S(x) + 0.20(x/12) = 0

S(x) = -0.20(x/12) it is a function that represents the discount on the monthly premium for a “good student.

From the question,

A student has a GPA of 3.0 gets good student discount of 20%

Write a function with ‘S’  that represents the discount of the monthly premium for a good student.

S(x) = -0.20(x ÷ 12)

S(x) is a function and student got a discount of 20%.

i.e., 20/100 = 0.20

The function that represents the discount on the monthly premium so x/12  

An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics and the sciences, functions are fundamental for constructing physical relationships.

Hence, it s a function that represents the discount on the monthly premium for a “good student.

S(x) + 0.20(x/12) = 0

S(x) = -0.20(x/12)

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An equation that models the balance y after x months​ y = 1070 - 172.5x.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

Zachary purchased a computer for $1070. The first step is to calculate the purchase he paid after 2 months.

= 1070 - 725

= $345

Then the purchase after 1 month is

= $345/2

= $172.5 per month

The equation can be written as:-

y = mx + c

y = 1070 - 172.5x.

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The number of  mozzarella sticks that will be in the larger sample will be 5.

Ratio expresses the relationship between two or more numbers. It shows the number of times that one value is contained within other value(s). The sign used to express ratios is :.

The first step is to determine the ratio of mozzarella sticks to pretzel bites in the smaller sample. This can be done by dividing the quantity of  mozzarella sticks by the number of pretzel bites.

Number of mozzarella sticks / number of pretzel bites = 2 : 8  or 1 : 4.

Now, divide the number of pretzel bites in the larger sample by the ratio of mozzarella sticks and pretzel bites in the smaller sample.

The ratio of mozzarella sticks in the larger sample = 20 / 4 = 5

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Answer:

131232- This is the answer

Answer:

3,1,2,1,3,2

Step-by-step explanation:

3,1,2,1,3,2

Answer:

It's 366. 53*7=371 | 371-5 because the 0th term is -5

Answer: The judge did not follow the speed limit of 65mph because if she did she would have not gotten there in 2 hours. The judge was actually going at 85 mph.

Step-by-step explanation:

Answer:

every angle equals 60°

Step-by-step explanation:

the sum of angles of any triangle is 180 so the equilateral triangle have all angles equal so 180 ÷ 3 = 60

Answer:

2years 6 months

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4%/100 = 0.04 per year.

I = P × R × T/100

Solving our equation:

$350 = $3500 × 4 × T /100

Let's solve your equation step-by-step.

350=(3500)(4)t/100

Step 1: Multiply both sides by 100.

350=(3500)(4)t/100

(350)*(100)=((3500)(4)t/100)*(100)

35000=(3500)(4)t

Step 2: Simplify both sides of the equation.

35000=14000t

Step 3: Flip the equation.

14000t=35000

Step 4: Divide both sides by 14000.

14000t/14000=35000/14000

t=5/2

t = 2.5 years

2.5 years = 2years 6 months