9514 1404 393
Answer:
(x, y, z) = (8, 0, 3)
Step-by-step explanation:
Maybe you want to solve the system of equations represented by the augmented matrix ...
[tex]\left[\begin{array}{ccc|c}-1&-4&2&-2\\-1&3&2&-2\\1&9&-4&-4\end{array}\right][/tex]
Your graphing calculator can provide the solution for you:
(x, y, z) = (8, 0, 3)
_____
If you want to solve this by hand, it works reasonably well to make a plan based on the values of the coefficients. We notice only the y-coefficient differs in the first two equations, telling us that y=0. This immediately reduces the system to two equations in x and z. The x-coefficients are opposites, so we can easily eliminate x to find z.
You can subtract the first equation from the second to find the value of y.
(-x +3y +2z) -(-x -4y +2z) = (-2) -(-2)
7y = 0 ⇒ y = 0
Substituting for y in the first and third equations, you can add those together:
(-x +2z) +(x -4z) = (-2) +(-4)
-2z = -6 ⇒ z = 3
Substituting into the last equation gives ...
x -4(3) = -4 ⇒ x = 8
Then the solution is (x, y, z) = (8, 0, 3).
Brody's fishing cooler is shaped like a rectangular prism. The inside of the cooler is 10 inches wide, 18 inches long, and 6 inches tall. What is the volume of the cooler?
A car travels at an average speed of 48 miles per hour. How long does it take to travel 180 miles?
Answer:
3 hours and 45 minutes
Step-by-step explanation:
mark me a brainliest answer
A store buys 10 shirts at a whole sale price of $5 each. They want to mark up the price by 50%. How much do they sell each t-shirt for?
A.$55
B.$5.50
C.$100
D.$7.50
Answer:
d)
Step-by-step explanation:
100%=$5
200%=5x2=10
200-50=150%
150/200x10=7.50
Hope this helps! Thanks.
The owner of a large restaurant is considering a new “no tipping” policy and wants to survey a sample of employees. The policy would add 20% to the cost of food and beverages and the additional revenue would be distributed equally among servers and kitchen staff.
A) The strata to be used in this survey by the employer is; Type of Staff
B) Stratified Random Sampling will be preferred because the opinions of the staffs on the tipping policy may be the same within each type but differ across the different types of staffs.
A stratified random sampling is a type of sampling that divides a population into groups known as strata.Now, from the question, we see that after adding a 20% to the cost of food and beverages, that the additional revenue will be distributed equally among the kitchen and server staffs.
This means the strata here will be the type of staff because the opinions of the staffs on the tipping policy may be the within each type but differ across both types of staffs.
Read more at; https://brainly.com/question/1954758
A box is 20 cm long. Which of these is closest to the length of this box in feet?
Answer: 0.66 Feet
Step-by-step explanation: There are 2.54 centimeters in an inch and there are 12 inches in a foot.
Please mark me as brainliest!
Write the equation of the line with a slope of -3/4 and a y-intercept of 8 in slope-intercept form.
Hello there!
y=mx+b
m is the slope
b is the y-intercept
y=-3/4x+8
Hope this helps you!
~Just a joyful teen
[tex]GraceRosalia :)[/tex]
1/16 1/14 1/2 1/6 1/50 1/30 1/8 1/40 1/20 1/5 1/100 1/625 1/25 1/45 1/125 1/12 1/32 1/7 1/28 1/24 1/64 1/11 1/4 1/21
Determine which fractions in the list can be written as terminating decimals.
List these fractions in order from greatest to least.
Answer:None
Step-by-step explanation:
Excel tells me that all of the numbers have terminating decimals. One might ask for a definition of what is considered terminating. Is 1/14=
0.0714285714285714000000000 going too many places before concluding it is not terminating?
X 1/X
16 0.0625000000000000000000000
14 0.0714285714285714000000000
2 0.5000000000000000000000000
6 0.1666666666666670000000000
50 0.0200000000000000000000000
30 0.0333333333333333000000000
8 0.1250000000000000000000000
40 0.0250000000000000000000000
20 0.0500000000000000000000000
5 0.2000000000000000000000000
100 0.0100000000000000000000000
625 0.0016000000000000000000000
25 0.0400000000000000000000000
45 0.0222222222222222000000000
125 0.0080000000000000000000000
12 0.0833333333333333000000000
32 0.0312500000000000000000000
7 0.1428571428571430000000000
28 0.0357142857142857000000000
24 0.0416666666666667000000000
64 0.0156250000000000000000000
11 0.0909090909090909000000000
4 0.2500000000000000000000000
21 0.0476190476190476000000000
6. Write in standard form (5.4 x104) =(2x103)
Answer:
[tex](5.4 \times {10}^{4} ) \div (2 \times {10}^{3} ) \\ \\ \\ \frac{5.4 \times {10}^{4} }{2 \times {10}^{3} } = \frac{54 \times {10}^{4} }{20 \times {10}^{3} } \\ \\ \\ = 2.7 \times {10}^{1} \\ = 27[/tex]
I hope I helped you^_^
Each minute there is one diamond ring sold on website.find the number of diamond rings sold in 60 days
Answer:
there are 60 rings sold
Step-by-step explanation:
becuse 1x60 is 60
Help please (I have to write something so that I can post a question) .
Step-by-step explanation:
answers: -9
the ground
^^^^^^^^^^^
A group of elderly citizens turn it off but for $160. Unfortunately, eight of them fell ill and had to miss the trip. As a consequence the other citizens had to pay an extra one dollars each. How many elderly citizens went on the trip?
What is the slope-intercept form of the following equation?
2x+2y=20
Question 2 options:
y= x+10
2y= -2x+20
y= -x-10
y= -x+10
Answer:
[tex]y=-x+10[/tex]
Step-by-step explanation:
First we must know the format of slope-intercept form!
This is: [tex]y=mx+b[/tex] (where "m" is the slope and b is the y-intercept)
Given this equation: [tex]2x+2y=20[/tex] we must convert this into the format of slope-intercept form.
First, we should move the "2x" to the other side of the equation, we do this by subtracting -2x from 2x and proceed to move it to the other side.
This would be result in: [tex]2y=-2x+20[/tex]
Next, we need to isolate the "y" variable by dividing the 2 off of it.
What you do to one side you do to the other!
-2 / 2 is -1 so this will just be "-x"
20 / 2 is 10
Therefore, our resulting equation will be: [tex]y = -x+10[/tex]
I hope this helped! Feel free to ask questions if you feel the need!
5.2500000000 -2 1/67
Answer:
3.23507462687
Step-by-step explanation:
a line passes through the point (8,-3)and has a slope of 3/4
Answer:
[tex]y=\frac{3}{4}x-9[/tex]
Step-by-step explanation:
We are using the general equation of a straight line, which is
y=mx+b, where y&x are the coordinates, m is the slope and b is the y intercept. We are trying to solve for b, so we can plug in these values that we know into the formula in order to find b:
[tex]-3=\frac{3}{4}(8)+b\\-3=6+b\\-3-6=b\\b=-9\\\\y=\frac{3}{4}x-9[/tex]
please do number 4 !!! Giving Brainlist
Answer:
(4,3)
Step-by-step explanation:
According to a survey, 59% of parents say their teens are addicted to using their cell phones. Write this percent as a ratio and do not simplify.
Answer:
1/10
Step-by-step explanation:
Find the LCD for the list of rational expressions.
2
7x +4
x2 + 5x - 14' x2 + 3x – 28
the equation is made and the included values are indicated.
A certain town is clustered around the town's largest employer, a paper mill. A researcher notices a large number of children with asthma and suspects the proportion of children with asthma in this town may be larger than the nationwide proportion of 7%.
(a) (2 pts) Write the null and alternative hypotheses.
(b) (3 pts) Suppose the researcher committed a Type I error. What did the researcher conclude and what was the reality regarding children with asthma?
(c) (3 pts) Suppose the researcher committed a Type II error instead. What did the researcher conclude and what was the reality regarding children with asthma?
Using statistical concepts, it is found that:
a)
The null hypothesis is: [tex]H_0: p \leq 0.07[/tex]
The alternative hypothesis is: [tex]H_0: p > 0.07[/tex]
b)
The type I error means that the researcher concluded that the proportion in this town was above 7%, while in reality it wasn't.
c)
The type II error means that the researcher concluded that the proportion in this town was not above 7%, while in reality it was.
Item a:
At the null hypothesis, we test if the proportion is the nationwide proportion of 7% of less, thus:
[tex]H_0: p \leq 0.07[/tex]
At the alternative hypothesis, we test if the proportion is larger than the nationwide proportion, that is:
[tex]H_1: p > 0.07[/tex]
Item b:
A Type I error happens when a true null hypothesis is rejected.
Thus, the type I error means that the researcher concluded that the proportion in this town was above 7%, while in reality it wasn't.
Item c:
A Type II error happens when a false null hypothesis is not-rejected.
Thus, the type II error means that the researcher concluded that the proportion in this town was not above 7%, while in reality it was.
A similar problem is given at https://brainly.com/question/24296958
Two machines are available to perform a task, each can be either in operational or nonoperational condition. Every day one of the operational machines will be used and there is a 10% chance that it will break. Assume that if a machine breaks during the day, the task fails and is not resumed until the next day. If there is a nonoperational machine at the beginning of the day there is a 60% probability that it will be repaired by the end of the day. Only one machine can be repaired in one day.
Requried:
Model this system as a Markov chain: clearly describe the states and give the transition matrix.
Answer:
Step-by-step explanation:
abcdefghijklmnopqurtuvwx hahahe y and z
Look at image attached
How do you do the inverse of this function?
9514 1404 393
Answer:
f^-1(x) = <see attachment>
Step-by-step explanation:
If we write the function as ...
f(x) = ∛x +101/128x
Then the inverse function is the value of y when ...
x = f(y)
This resolves to a cubic in y, whose solution can be found by use of any of the various cubic solution formulas. You can find the cubic by ...
x = ∛y +by . . . . . . where b = 101/128
x -by = ∛y . . . . . . . subtract by
(x -by)³= y . . . . . . cube both sides
If we subtract the left side and expand the cube, we get ...
b³y³ -3b²xy² +(1 +3bx²)y -x³ = 0 . . . . . . . a cubic in y
There will be one real and two complex solutions to this cubic. The real solution can be written in the form shown in the attachment. That is, ...
y = f⁻¹(x) = [attachment expression]
A graph of it is shown in the second attachment. It is the reflection of f(x) across the line y = x, as an inverse function should be.
_____
Additional comment
The idea here is to show that it is possible to write an expression for the inverse function. It is not pretty, and it is somewhat tedious to evaluate.
In a triple batch of mix there are 6 teaspoons garlic and 15 teaspoons of salt how much salt is used with 8 teaspoons of garlic
Answer:
20
Step-by-step explanation:
6:15
2:5
*4
8:20
-4 2/3 • 1 4/5
Help me with this
the answer is -42/5 :D
can't type because im lazy
pls help, this is for khan acd
Answer: Carys earns $10 per hour and earn $1 in hour .
Step-by-step explanation:
Given: Carys calculates the total amount E, in dollars, that she earns for working h hours.
She use the equation to calculate the total amount .
Foe h=1,
hence, she earns $10 in one hour.
Therefore, Carys earns $10 per hour.
Let she earn $1 then put E=1 in the equation, we get
Hence, she earn $1 in hour .
show your work” below and solve the given equation for x showing all your steps.
3.5(6 – x) + 14 = 7 – 1.5(5x + 16)
please make the steps as clear as you can for brainliest!
Answer:
x=-13
Step-by-step explanation:
21-3.5x+14=7-7.5x-24
21+14-3.5x=7-24-7.5x
35-3.5x=-17-7.5x
35+17=3.5x-7.5x
52=-4x
-4. -4
x=-13
An elevator can carry 27 adults or 30 children at one time. During the course of a day, the elevator carries a full passenger load 45 times. If all the passengers were children, how many more people would the elevator carry than if all the passengers were adults?
Answer:
135 would be the correct answer
Step-by-step explanation:
30x45=1,350
27x45=1,215
1,350-1,215= 135
The length of a rectangle is 7 feet less than four times with width. The Perimeter of the
rectangle is 146 feet. Find the length and width of the rectangle. ( P = 2L +2W)
Answer:
Step-by-step explanation:
p = 2L+ 2W
length
(7-4)
3 feet
p = 2L+ 2W
146 = 2*3 + 2* w
146 = 6 + 2w
146-6 = 6-6 +2w
140 = 0+ 2w
140 = 2w
70 feet = w
width is 70 feet
p= 2L+2W
146 = 2*a +2* 70
146 = 2a + 140
146-140 = 2a + 140-140
6 = 2a
3 feet = a
length is 3 feet
width is 70 feet.
Rewrite the formula to solve for the positive value of r in terms of h and v
*click photo to see question*
Answer
[tex] | \sqrt \frac{3v}{\pi \: h} | = r[/tex]
The given formula for the volume of cone can be written as [tex]\sqrt{\frac{2V}{\pi h} }[/tex] in terms of V and h for r.
What is transposing a term in an expression or transpose method?To bring a term from one side of an equation to the other, with corresponding change in sign or by doing opposite operations is called transposing a term in an expression.
According to the given question.
We have a formula for the volume of cone
[tex]V = \frac{1}{2} \pi r^{2} h[/tex]
To solve the the above formula for r we use transpose method.
Therefore,
[tex]V = \frac{1}{2} \pi r^{2} h[/tex]
⇒ [tex]2V = \pi r^{2}h[/tex] (multiplying by 2 both the sides)
⇒ [tex]\frac{2V}{\pi h} =r^{2}[/tex] (dividing both the sides by πh)
⇒ [tex]r=\sqrt{\frac{2V}{\pi h} }[/tex]
Hence, the given formula for the volume of cone can be written as [tex]\sqrt{\frac{2V}{\pi h} }[/tex] in terms of V and h for r.
Find out more information about transpose method here:
https://brainly.com/question/2263930
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"Sierra has recipe she wants to make. She has to use eggs and sticks of butter. The ratio for these ingredients is 12 to 4 batches. What will the equivalent ratio be if she wants to make 8 batches"
"What is she wants to make 2 batches"
please help me get my grade up by answering this question I'll mark brainliest whoever answers first!<3
Answer:
24:8
Step-by-step explanation:
Given the following data;
Batch = eggs + sticks of butter
4 batches = 12:4
8 batches = 2 * 4 batches
Therefore, 8 batches = 2*(12:4)
8 batches = 24:8
Hence, the equivalent ratio Sierra would use if she wants to make 8 batches is 24 eggs to 8 sticks of butter.
Which rule explains why these triangles are congruent?
ASA
AAS
SSS
SAS
These triangles cannot be proven congruent.
Answer:
ASA .................explains these 2 triangles are congruent to each other.
Angle UST=Angle SUV{given in the figure}
side SU= side SU{common side}
angle TUS= Angle USV{given in the figure}
Write 1.6 x 10 in standard form.
Answer:
[tex]1.6 \times 10 = 16 \\ [/tex]
To multiply a decimal by 10, move the decimal point in the multiplicant by one place to the right. Here we multiplied the number 1.6 by 10 so we move 1 place to the right.
To multiply a decimal by 100, move the decimal point in the multiplicant by two places to the right.