What is the first step to solve the equation 12z - 21 = 92?

Answers

Answer 1

12z - 21 = 92

12z - 21 + 21 = 92 + 21

12z = 113

z = 113/12


Related Questions

a. Rewrite the equation 2x + y + 1 = 0 in slope-intercept form.
b. Give the slope and y-intercept.
c. Use the slope and y-intercept to graph the linear function.

Answers

A)y= -2x - 1

B) m= -2 , b= -1

C)

Plzzz help!!!!!!!!!!!!!!!!

Answers

Answer:

B) The function has a maximum value of (1)

Step-by-step explanation:

The given function has a maximum value, as its curve is inverted. The maximum value is the largest (y) value that a function can attain. As one can see, this value is (1), because the (y-coordinate) of the highest point on its curve is (1). This function has no minimum value, its endpoints go on infinitely in a negative direction.

Triangles A B C and A double-prime B double-prime C double-prime are shown. Triangle A double-prime B double-prime C double-prime is smaller and to the right of triangle A B C. Which transformations could have taken place to map △ABC to △A"B"C"? a reflection and a dilation a rotation and a dilation a translation and a dilation a reflection and a translation

Answers

C. a translation and a dilation

Step-by-step explanation:

the other person isn't wrong they just put it in the wrong order

Answer:c

Step-by-step explanation:took the test

create a frequency table and probability models to determine the probability the following outcome police officer kept recording of 75 drivers at a stop sign they observed 21 people who came to complete stop 46 who made a rolling stop and 8 that did not appear to a brake at all what is the probability that a randomly selected driver will come to complete stop

Answers

Answer:

0.28 = 28% probability that a randomly selected driver will come to complete stop

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

Recording of 75 drivers.

Of those, 21 came to a complete stop.

Then

21/75 = 0.28

0.28 = 28% probability that a randomly selected driver will come to complete stop

what are the adjectives in this sentence: the class cheered when Sonia had finished reading her funny poem.​

Answers

Finished and Funny because they’re the only descriptive words. (:

Factor t^2 - 5t + 6. Type your answer in the space provided. Do not type spaces in your answer. Use only lowercase letters and include all necessary parentheses, variables and operation signs. For example, if the answer is (x +1)(x+2), type (x+1)(x+2).

Answers

Answer:

(x-3) * (x-2

Step-by-step explanation:

Last question! Please show work. Really need to get this done in 1 hour

Answers

Answer:

x=1; y=2; z=3

Step-by-step explanation:

Rearrange for convince:

2y-4z+6x = -2

-4y+2z-3x=-5

-6y+3z+4x=1

Now we take to pairs and eliminate the same var.:

2y-4z+6x = -2 *2

-4y+2z-3x=-5

and

-4y+2z-3x=-5 *-3

-6y+3z+4x=1. *2

We get:

4y-8z+12y=-4

-4y+2z-3x=-5

= -6z+9x=-9

and

12y-6x+9x=15

-12y+6x+8x=2

= 17x=17

We now know x = 1, so z is:

-6z+9=-9

-6z=-18

z=3

Let’s grab the first formula and find y:

6+2y-12=-2

6+2y=10

2y=4

y = 2


Select the correct answer.
What is this expression in simplified form?
5v2.9v6
OA. 45v3
OB. 90
O C. 90v3
OD. 45V2

Answers

Answer:

C. 90√3

Step-by-step explanation:

5√2 . 9√6 = 45√12 = 45×2√3

= 90√3

The simplified form is 90√3.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

Given expression is, 5√2×9√6

                               =5×9×√(2×6)

                               =45×√12

                               =45×2√3

                               =90√3

Hence, the simplified form is 90√3 .

To learn more on multiplication click:

https://brainly.com/question/5992872

#SPJ2

You measure 37 dogs' weights, and find they have a mean weight of 69 ounces. Assume the population standard deviation is 9.2 ounces. Based on this, construct a 90% confidence interval for the true population mean dog weight.Give your answers as decimals, to two places_______ ± ________ ounces (Enter your answer as an integer or decimal number. Examples: 3, -4, 5.5172 ; Enter DNE for Does Not Exist, oo for Infinity)

Answers

Solution :

Given :

mean weight of the dogs, [tex]$\overline x$[/tex] = 69

Number of dogs, n = 37

Standard deviation, σ = 9.2

Confidence interval = 90%

At 90% confidence interval for the true population mean dog weight is given by :

[tex]$= \overline x \pm \frac{\sigma}{\sqrt n} \times z_{0.05}$[/tex]

[tex]$= 69\pm \frac{9.2}{\sqrt_{37}}} \times 1.64485$[/tex]

[tex]$=69 \pm 2.487799$[/tex]

= (66.5122, 71.4878)

You have $45 to spend on notebooks and each one costs $5.
Write an inequality for the possible number of notebooks you
could buy, then find out the maximum number of notebooks
you could buy.
notebooks

Answers

Answer:

9notebooks

Step-by-step explanation:

5×y≤45( where y is number of notebooks)

$5=1notebook

$45=$45/$5x1

=9

therefore, you'll be able to buy nine notebooks with$45

Answer:

$5n = $45

n = 9

Step-by-step explanation:

Let n represent the amount of notebooks

$5n = $45

Divide each side by 5

$5n/5 = $45/5

n = 9

so the maximum number of notebooks you can buy is 9

If we know the values of the sine and cosine of x and y, we can find the value of cos(x - y) by using the ____ Formula for Cosine. State the formula: cos(x - y) = ____.

Answers

Answer:

[tex]\cos(x - y) = \cos(x)\cos(y) + \sin(x)\sin(y)[/tex]

Step-by-step explanation:

Given

[tex]\cos(x - y)[/tex]

Required

State the formula

From trigonometry identity, the formula of [tex]\cos(x - y)[/tex] is:

[tex]\cos(x - y) = \cos(x)\cos(y) + \sin(x)\sin(y)[/tex]

k+8
4) 3 =
3
Please help me

Answers

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{3 = \dfrac{k +8}{3}}[/tex]

[tex]\rightarrow\mathsf{\dfrac{k+8}{3}=3}[/tex]

[tex]\large\textsf{MULTIPLY by 3 to BOTH SIDES}[/tex]

[tex]\mathsf{3\times3=\dfrac{k+8}{3}\times3}[/tex]

[tex]\large\textsf{Work out the equation above to get to the next step}[/tex]

[tex]\large\textsf{We get: }\mathsf{k + 8 = 9}[/tex]

[tex]\large\textsf{SUBTRACT 8 to BOTH SIDES}[/tex]

[tex]\mathsf{k +8-8=9-8}[/tex]

[tex]\large\textsf{CANCEL out: 8 - 8 because that gives you 0}\\\\\\\\\large\textsf{KEEP: 9 - 8 because that gives you the value of k.}[/tex]

[tex]\mathsf{k = 9 -8}[/tex]

[tex]\mathsf{9-8=\boxed{k}}[/tex]

[tex]\mathsf{9-8=\boxed{\large\textsf{\bf 1}}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge k = \bf 1}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Cho S là ngoại diên của khái niệm con người, p(x,y) = x yêu thương y.
1) Viết các phán đoán sau đây dưới dạng công thức:
a) Nhiều người yêu thương A. (Thay A bằng chính tên của em).
b) A yêu thương nhiều người. (Thay A bằng chính tên của em).
2) Phủ định hai phán đoán ở phần 1) (viết dưới dạng câu văn hoàn chỉnh).

Answers

Answer:

Step-by-step explanation:

if 4 gallons of milk cost $11, how much would 7 gallons cost?

Answers

Answer:

$19.25

Step-by-step explanation:

11 ÷ 4 = $2.75  this is the cost per gallon of milk

2.75 * 7 = $19.25  this is the cost for 7 gallons of milk

Hope this helps

Answer:

$ 19.25

Step-by-step explanation:

 Milk(gallons)         Cost

        4                    11

        7                     x

  [tex]\frac{4}{7} = \frac{11}{x}\\\\4 \times x = 11 \times 7\\\\4x = 77\\\\x = \frac{77}{4} = \$ 19.25[/tex]

The table below represents a linear function f(x) and the equation represents a function g(x):

x f(x)
−1 −9
0 −1
1 7
g(x)

g(x) = 3x − 2


Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).

Part B: Which function has a greater y-intercept? Justify your answer.

Answers

Answer:

(a) The slope of f(x) is greater than the slope of g(x)

(b) f(x) has a greater y intercept

Step-by-step explanation:

Given

[tex]\begin{array}{cc}x & {f(x)} & -1&-9&0&-1&1&7 \ \end{array}[/tex]

[tex]g(x) = 3x - 2[/tex]

Solving (a): Compare the slopes

The slope (m) of f(x) is calculated as;

[tex]m = \frac{f(x_2) - f(x_1)}{x_2 - x_1}[/tex]

This gives:

[tex]m = \frac{f(0) - f(1)}{0 - 1}[/tex]

[tex]m = \frac{f(0) - f(1)}{- 1}[/tex]

Substitute values for f(0) and f(1)

[tex]m = \frac{-1 - 7}{- 1}[/tex]

[tex]m = \frac{-8}{- 1}[/tex]

[tex]m = 8[/tex]

The slope of g(x) can be gotten using the following comparison

[tex]g(x) = mx + b[/tex]

[tex]m \to slope[/tex]

So:

[tex]g(x) = 3x -2[/tex]

[tex]m = 3[/tex]

[tex]m_{f(x)} > m_{g(x)}[/tex]

Solving (b): Compare the y intercept

y intercept is when [tex]x = 0[/tex]

From the table of f(x)

[tex]f(0) = -1[/tex]

From the equation of g(x)

[tex]g(x) = 3x -2[/tex]

[tex]g(0) = 3*0-2[/tex]

[tex]g(0) =-2[/tex]

[tex]f(0) > g(0)[/tex]


If the coordinates of a point p(m-3, -6) = p(-7, -6), then find the value of m​

Answers

Answer:

[tex]m =-4[/tex]

Step-by-step explanation:

Given

[tex]p(m-3 , -6) = p(-7 , -6)[/tex]

Required

Find m

[tex]p(m-3 , -6) = p(-7 , -6)[/tex]

By comparison:

[tex]m-3 = -7[/tex]

Add 3 to both sides

[tex]m = -7+3[/tex]

[tex]m =-4[/tex]

Helppppo plsssssssssss I need helppp with thissss

Answers

Answer:

82 is what r equals

Step-by-step explanation:

So, lets go over what we know:

D equals rt, or r * t:

D=r*t

The table shows:

t=2 - d=164

t=3 - d=246

These are the only 2 values we need to look at.

We know that D= r*t, and we can just plug in the values found in the table for t and d to solve for r. So:

164= r * 2

Divide both sides by 2 to iscolate r:

82=r

So it seems like r is equal to 82, however this might be exponential or inaccurate, so lets double check witht the nexty values on the table:

246=r*3

Divide by 3 to iscolate the r:

82=r

So we know that r must equal 82.

Hope this helps!

Eighty percent of one store’s customers paid with credit cards. Forty customers came in that day. How many customers paid for their purchases with credit cards?

Answers

Answer:

32

Step-by-step explanation:

40 = 100%

how many are 80% ?

well, 80% = 80× 1%

1% = 100% / 100

so, in our case

80% = 80×40/100 = 8×4 = 32

as a shortcut you consider a percentage x as a ratio factor of x/100 you multiply the 100% number with.

in our case

80% = 40 × 80/100 = 32

How do you get total cost from price of $2.75 and qty demanded of 1250

Answers

Answer:

$3437.5

Step-by-step explanation:

Given data

Unit cost= $2.75

qty demanded= 1250

To get to the total, we have to multiply the quantity by the unity cost

=2.75*1250

=$3437.5

Hence the total cost is

$3437.5

What is the average rate of change for the function f(x) over the interval [0, 3]

Answers

Answer:

The average rate of change is 22

Step-by-step explanation:

Given

[tex]f(x) = x^4 - 5x[/tex]

Required

Average rate of change over [0,3]

This is calculated as:

[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]

So, we have:

[tex]Rate = \frac{f(3) - f(0)}{3 - 0}[/tex]

[tex]Rate = \frac{f(3) - f(0)}{3}[/tex]

Calculate f(3) and f(0)

[tex]f(x) = x^4 - 5x[/tex]

[tex]f(3) = 3^4 - 5 * 3 =66[/tex]

[tex]f(0) = 0^4 - 5 * 0 = 0[/tex]

So, we have:

[tex]Rate = \frac{f(3) - f(0)}{3}[/tex]

[tex]Rate = \frac{66-0}{3}[/tex]

[tex]Rate = \frac{66}{3}[/tex]

[tex]Rate = 22[/tex]

Which of the following value are in the domain of the function graphed below?

Answers

Answer:

look at the domain, where the line is on the x-axis

Step-by-step explanation:

Helpppppppppppp pleaseeeeeeeeee

Answers

Answer:

it is b

Step-by-step explanation:

Answer:

B. [tex]x=24[/tex]

Step-by-step explanation:

We can start by isolating the square root by adding one to both sides:

[tex]-1+\sqrt{3x-8} =7\\\sqrt{3x-8}=8[/tex]

Now, we can square both sides and solve:

[tex]3x-8=64\\3x=72\\x=24[/tex]

Please help me

A. 7ft

B. 11ft

C. 15ft

D. 10ft

Answers

Answer:

A. 7ft

Step-by-step explanation:

Have a good grades and study well sweetie

answered by: sugaxchim

the answer is A 7ft

A study is conducted to see how effective aspirin is in reducing temperature in children. A sample of 6 children suffering from influenza had their temperatures taken immediately before and 1 hour after administration of aspirin. The results are given below. We would like to conduct a paired differences t-test for this situation. The data follows:

Patient Temperature Before Temperature After Difference
1 103.7 102.6 1.1
2 103.7 102.7 1
3 100.7 98.8 1.9
4 102.7 103.5 -0.8
5 102.7 101.3 1.4
6 100.7 99.4 1.3
Mean 102.4 101.4 1
Std. Dev. 1.4 1.9 0.9

Required:
Calculate the appropriate test statistic of a matched pairs t-test for this data to see if taking aspirin will reduce a child's fever.

Answers

Answer:

Then t(s) is in the rejection region for H₀  we reject H₀  and conclude that the aspirin will reduce a child´s fever

Step-by-step explanation:

Tem.Before    Tem.After       diff.      

103.7                   102.6            1.1

103.7                   102.7             1

100.7                     98.8             1.9

102.7                    103.5            -0.8

100.7                      99.4             1.3

102.4                      101.41           (Mean)

1.4                             1.9              0.9       Std. Dev.

n =  6

df  =  6  -  1  =  5

CI we propose to be 95 %

Then  α  = 5 %  α = 0.05    

The test is a one-tail test ( we want to know if taking aspirin will reduce a child´s fever

Hypothesis test

Null Hypothesis                      H₀         μd  = 0

Alternative Hypothesis          Hₐ         μd > 0

(NOTE:)   μd (average) = Temp Before  -  Temp. after

Therefore if   μd >  0   means that there is a statistical difference between values before ( bigger ) and after  or that the aspirin will reduce a child´s fever

To find t(c)  from t-student table  df = 5  and α = 0.05

t(c)  =  2.015

To compute  t(s)

t(s)  =  μd/ sd/√n      t(s)  =  0.98/ 0.9/√6

t(s)  =  2.66

Comparing  t(s) and  t(c)

t(s) > t(c)    

Then t(s) is in the rejection region for H₀  we reject H₀  and conclude that the aspirin will reduce a child´s fever

(Right angle Trigonometry) help me solve for X please!

Answers

Answer:

x = 52.0

Step-by-step explanation:

Reference angle = 68°

Length of side Opposite to reference angle = x

Adjacent length = 21

Apply the trigonometric function, TOA, which is given as:

Tan 68° = Opp/Adj

Substitute

Tan 68° = x/21

21 × Tan 68° = x

51.9768238 = x

x = 51.9768238 ≈ 52.0 (approximated to nearest tenth)

A table represents the possibility of an association between eye color and hair color. Hair Color Eye Color Brown Black Green 22 15 Blue 18 19 In order to determine if there is a significant difference between eye color and hair color, the chi-square test for association and independence should be performed. What is the expected frequency of Blue Eyes and Black Hair?

Answers

Answer:

17

Step-by-step explanation:

_____________ Hair color

Eye color ___ Brown ___ Black ___ total

Green _____ 22 ________ 15 ____ 37

Blue _______ 18 ________ 19 ____ 37

Total _______40 ________34 ____ 74

Calculate the expected frequency of Blue Eyes and Black Hair?

The expected frequency Count ;

(row total * column total) / total number of observations

Expected frequency ;

Blue eye n black hair = (37 * 34) / 74

Expected frequency count = 1258 / 74 = 17

Expected count = 17

Answer:

The row total of blue eyes is 18 + 19 = 37.

The column total of black hair is 15 + 19 = 34.

The total of the whole table is 22 + 15 + 18 +19 = 74.

Step-by-step explanation:

E=(37)(34)/74=1258/74=17

some 1 help me plz its algebra 1

Answers

5

Rise/run. When x is 0, y is 4. When x is 2, y is 14. Y changed by 10 and x changed by 2. 10/2=5

An assembly line consists of 21 tasks grouped into 5 workstations. The sum of the 21 task times is 85 minutes. The largest assigned cycle time is 20 minutes. What is the efficiency of this line

Answers

Answer:

The efficiency of this line is 0.85 = 85%.

Step-by-step explanation:

Efficiency:

The efficiency is given by the following formula:

[tex]E = \frac{T_t}{tn}[/tex]

In which [tex]T_t[/tex] is the total task time, [tex]t[/tex] is the largest assigned cycle time and n is the number of workstations.

5 workstations

This means that [tex]n = 5[/tex]

The sum of the 21 task times is 85 minutes.

This means that [tex]T_t = 85[/tex]

The largest assigned cycle time is 20 minutes.

This means that [tex]n = 20[/tex]

What is the efficiency of this line?

[tex]E = \frac{T_t}{tn} = \frac{85}{20*5} = \frac{85}{100} = 0.85[/tex]

The efficiency of this line is 0.85 = 85%.

A student is going to take a five-question, multiple-choice quiz. Each question has exact four choices for the answer, but only one of which is correct. The student forgets to study for the quiz and plans to randomly guess on each question. Let X be the number of correct answers he will obtains. Answer the following questions. Find the probability that he obtains at most one correct answer

Answers

Answer:

0.6328 = 63.28% probability that he obtains at most one correct answer

Step-by-step explanation:

For each question, there are only two possible outcomes. Either he obtains the correct answer, or he does not. The probability of obtaining the correct answer on a question is independent of any other questions, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Five-question

This means that [tex]n = 5[/tex]

Each question has exact four choices for the answer, but only one of which is correct.

This means that [tex]p = \frac{1}{4} = 0.25[/tex]

Find the probability that he obtains at most one correct answer

This is:

[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{5,0}.(0.25)^{0}.(0.75)^{5} = 0.2373[/tex]

[tex]P(X = 1) = C_{5,1}.(0.25)^{1}.(0.75)^{4} = 0.3955[/tex]

[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.2373 + 0.3955 = 0.6328[/tex]

0.6328 = 63.28% probability that he obtains at most one correct answer

The cost of K-12 education per student was $2200 in 1978 and increased to $10,300 in 2008. (Source: Department of Education). (a) Find a linear equation that models these data. Let C represent the cost per student and x represent the number of years after 1978.

Answers

Answer: [tex]C=270x+2200[/tex]

Step-by-step explanation:

Given

Cost per student in the year 1978 is $2200

The cost increases to $10,300 in 2008

Suppose [tex]C=mx+a[/tex] is the linear equation defining the cost per student after x years

Substitute the value for 1978

[tex]\Rightarrow 2200=m(0)+c\\\Rightarrow c=2200[/tex]

After 30 years it becomes

[tex]\Rightarrow 10,300=m(30)+2200\\\Rightarrow 30m=8100\\\Rightarrow m=270[/tex]

Thus, the linear equation becomes

[tex]\Rightarrow C=270x+2200[/tex]

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