Correct question:
Evaluate the expression below for x = 2, y = –3, and z = –1.
Given: [tex] x^2 z^2 -y^2(x+z) [/tex]
Options:
A.–23
B.–5
C.13
D.27
Answer:
B. -5
Step-by-step explanation:
In this question we are given the following values:
x = 2
y = -3
z = -1
Given the expression:
[tex] x^2 z^2 -y^2(x+z) [/tex]
To evaluate, let's substitute for 2, -3 & - 1 for x, y & z respectively
Therefore,
[tex] x^2 z^2 -y^2(x+z) [/tex]
Substituting values, we have:
[tex] (2^2) (-1^2) - (-3^2)(2+(-1)) [/tex]
Simplifying, we have:
[tex] [(2^2) (-1^2)] - [(-3^2)(2-1)] [/tex]
[tex]= [(4) (1)] - [(9)(1)] [/tex]
[tex]= 4 - 9[/tex]
= -5
The correct answer is option B
Assignment
Health Club Fees You are choosing between two health clubs Club A offers membership for a fee of $7 plus a monthly fee of $23. Club B offers membership for a
tee of $35 plus a monthly fee of $16. After how many months will the total cost of each health club be the same?
in month(s) the total cost of each health club will be the same
Answer: The solution is (4,99) which means for in 4 months the total cost of each health club will be the same.
Step-by-step explanation:
Club A can be represented by the equation y = 23x + 7 where x is the number of months and y is the cost.
Club B can be represented by the equation y = 16x + 35 where x is the number of months and y is the cost.
23x + 7 = 16x + 35 set the equation equal each other to solve for x
-7 -7
23x = 16x + 28
-16x -16x
7x= 28
x= 4 now we know the value of x is 4 so we will put it into the equation and solve for y
y= 16(4) + 35
y= 99
How many 9’s are there between 1 and a 100?
Answer:
20
Step-by-step explanation:
Which description of the graph of the linear inequality y ≥ 7x – 4 is correct????The graph will be a dashed line with a y-intercept of negative four and a slope of seven. The graph will be shaded below the line.
The graph will be a solid line with a y-intercept of negative four and a slope of seven. The graph will be shaded above the line.
The graph will be a solid line with a y-intercept of seven and a slope of negative four. The graph will be shaded below the line.
The graph will be a dashed line with a y-intercept of seven and a slope of negative four. The graph will be shaded above the line.
Answer:
It's the second description
Step-by-step explanation:
It's one of the inequality symbols for greater/less than or equal to, which means the line is solid. Then, y is greater than or equal to 7x-4 which means it will be shaded above the line.
Answer:
The correct answer is the 2nd option
Step-by-step explanation:
A sector with a radius of 8 cm has an area of 56pi cm2. What is the central angle measure of the sector in radians?
Answer:
[tex]\frac{7\pi}{4}[/tex].
Step-by-step explanation:
Given information:
Radius of circle = 8 cm
Area of sector = [tex]56\pi\text{ cm}^2[/tex]
Formula for area of sector is
[tex]A=\dfrac{1}{2}\theta r^2[/tex]
where, r is radius and [tex]\theta[/tex] is central angle in radian.
Substitute [tex]A=56\pi[/tex] and r=8 in the above formula.
[tex]56\pi=\dfrac{1}{2}\theta (8)^2[/tex]
[tex]56\pi=\dfrac{64}{2}\theta[/tex]
[tex]56\pi=32\theta[/tex]
[tex]\dfrac{56\pi}{32}=\theta[/tex]
[tex]\dfrac{7\pi}{4}=\theta[/tex]
Therefore, the measure of the sector in radians is [tex]\frac{7\pi}{4}[/tex].
Complete the equation of the line whose slope is -2 and y-intercept is (0,-8)
y=
Answer:
y = -2x - 8
Step-by-step explanation:
We want to find the slope-intercept form of this equation. Slope-intercept form is denoted by: y = mx + b, where m is the slope and b is the y-intercept.
We already know that the slope is -2, so that means m = -2.
We also know the y-intercept (or the point where the line crosses the y-axis) is (0, -8), which means b = -8.
Thus, our equation is: y = -2x - 8.
~ an aesthetics lover
y=-2x-8 this should be right i had this same problem before :)
What is the area C in terms of
In a group of 30 people, 10 drink milk but not tea 5 drink tea
but not milk and 13 drink neither tea nor milk. find how many people drink both tea and milk.
Answer:
2
Step-by-step explanation:
10 + 13 + 5 = 28 who drink either, or, or neither
30 - 28 = 2
Answer:
2 drink both tea and milk
Step-by-step explanation:
30 people - 13 drink neither = 17 - 10 drink milk but not tea = 7 - 5 drink tea but not milk = 2 drink both tea and milk.
A 10-foot ladder is to be placed Against the side of the building. The base of the latter must be placed in an angle of 72° With the level ground for a secure footing. Find, to the nearest inch, how far the base of the latter should be from the side of the building and how far up the side of the building the latter will reach.
Answer:
Distance of foot of ladder from building: 37.2 inches
Distance of top of ladder from building's base: 114 inches
Step-by-step explanation:
Please refer to the figure attached in the answer area.
A right angled triangle [tex]\triangle ABC[/tex] is formed by the ladder with the building where hypotenuse is the length of ladder.
Hypotenuse, AC = 10 foot
Also, we are given that angle made by the base of ladder with the ground is [tex]72^\circ[/tex].
We have to find AB and BC.
[tex]\angle BAC = 72^\circ[/tex]
Using trigonometric functions:
[tex]cos \theta= \dfrac{Base}{Hypotenuse}\\cos 72^\circ= \dfrac{AB}{AC}\\\Rightarrow 0.309 = \dfrac{AB}{AC}\\\Rightarrow AB = 10 \times 0.309\\$\approx$ 3.1 foot\\$\approx$ 37.2 inches[/tex]
[tex]sin \theta = \dfrac{Perpendicular}{Hypotenuse}\\\Rightarrow sin72^\circ = \dfrac{BC}{AC}\\\Rightarrow 0.95 = \dfrac{BC}{AC}\\\Rightarrow AB = 10 \times 0.95\\$\approx$ 9.5 foot\\$\approx$ 114 inches[/tex]
Distance of foot of ladder from building: 37.2 inches
Distance of top of ladder from building's base: 114 inches
30 points
In two or more complete sentences, discuss the advantages and disadvantages of investing in a CD versus investing in a basic savings account.
What is the y-coordinate of the solution of the system of equations? {y=3x−26 2x−y=19 Enter your answer in the box.
Answer:
The y-coordinate of the solution is -5.
Step-by-step explanation:
I graphed the equations on the graph below to find the solution of the system.
If this answer is correct, please make me Brainliest!
Point L was plotted at (-4, 1), then L was transformed creating point L’ at (-1, -4).Which transformation rule could have been used to plot L’?
Reflection across the x-axis
a 180 degree rotation about the origin
A 270 degree rotation counterclockwise rotations about the origin
A translation using the rule (x,y) -->(x+3, y -5)
Answer:
you would go down 2 from the point
Step-by-step explanation:
A survey will ask people if they want
more stop signs near a school. Which
group would be probably be biased
against this idea?
A students
B teachers
C driver
Answer:
I believe the answer is C. Driver.
Step-by-step explanation:
The driver is the person who has to pass by the school everyday. This means they would have to take out extra time because of the stop signs, so they would be against this.
Draw the shape described below and find its total surface area.
A cylinder 25 ft tall with a diameter of 12 f
Answer:
hope this helps :)
Step-by-step explanation:
8:07
Cylinder volume & surface area (video)
What is the sum of these expressions: (-3.5t - 4s + 4.5) + (-7.1 - 0.3s + 4.1t)
Answer:
0.6t - 4.3s - 2.6.
Step-by-step explanation:
PEMDAS
Answer:
-4.3s+0.6t-2.6
Step-by-step explanation:
Add like terms:
-3.5t+4.1t-4s-0.3s+4.5-7.1
= 0.6t-4.3s-2.6
= -4.3s+0.6t-2.6
Which polynomials are in standard form?
Answer:
Regular type is called the form in which polynomials are mostly used. The parameters are calibrated to the lowest degree. The polynomial x4 + 2x3+x+11 is standard, for instance, because four are most strong and three and one are the strongest.
Step-by-step explanation:
what is the answer to -12= -2x-4x
Answer:
x = 2
Step-by-step explanation:
-12 = -2x - 4x
-12 = - 6x
x = -12/(-6) = 2
Answer:
Step-by-step explanation:
Subtract.
(5x-1)-(3xy+c)
Answer:
5 x − 1 − 3 x y − c
The solution to the expression (5x-1)-(3xy+c) would be 5x - 1 - 3xy - c.
What is a linear equation?A linear equation is an equation in which the highest power of the variable is always 1. The standard form of a linear equation in one variable is of the form Ax + B = 0.
The given expression is (5x-1)-(3xy+c)
The subtraction between them is
5x - 1 - 3xy - c
Thus, the subtraction would be 5x - 1 - 3xy - c.
Learn more about linear equations;
https://brainly.com/question/11897796
WILL MARK BRAINLIEST! If you buy 3 pounds of hamburg for $8.97, how much will it cost for 5 pounds of hamburg?
Answer:
14.95
Step-by-step explanation:
every 1 pound is 2.99 so you would do 2.99 * 5
Answer:
$14.95
Step-by-step explanation:
To find the slope or the cost per pound of hamburger you divide 8.97 by 5 in order to find out it costs 2.99 per hamburger. You then, multiply 2.99 by 5 to gather that to buy 5 pounds of hamburger it would cost $14.95.
An aquarium in the shape of a rectangular prism has a bottom, no top, two square sides, and two sides
the same height as the square sides but twice their length. The total area of the five sides 15 2,592 in?.
Find the volume of the aquarium. Complete the explanation of your reasoning.
Let x represent the length and height of the square sides. Then the longer sides and the bottom measure
2x by x. The total area of the five sides, in terms of x, is A =____
So, the total area of the five sides,
A, is 2,592 in2. Solving for x we get x =____
The tank's volume is ____
in squared?
Answer:
volume = 11,664 units cubed
Step-by-step explanation:
2[tex]x^{2}[/tex] times 3 = bottom and sides
[tex]x^{2}[/tex] times 2 = ends
A = 6[tex]x^{2}[/tex] + 2[tex]x^{2}[/tex] = 8[tex]x^{2}[/tex]
2592 = A
2592/8 = 8[tex]x^{2}[/tex]/8
324 = [tex]x^{2}[/tex]
take square root of both sides
18 = x
so volume = length times width times height
2(18) times 18 times 18 = 11664
11664 units cubed
find the missing angle in the triangle
Answer:
60
Step-by-step explanation:
Since all of the sides of this triangle are shown to be congruent, this must be an equilateral triangle. In an equilateral triangle, all of the angles are equal to 60 degrees. Therefore, x is 60. Hope this helps!
Answer:
60
Step-by-step explanation:
If all sides all have the same angles then we will divide 180 by 3 which will give us our answer 60.
need asap! please help!
Answer:
x = 2
Step-by-step explanation:
7x + 5 = 19
Subtract 5 on both sides
7x = 14
Divide by 7 to isolate x
x = 2
Hope this helps!
please help im having trouble with these problems
Answer:
B I think
Step-by-step explanation:
I'm in quite in a bit of a pickle... so, please? and I never forget to mark brainiest
The correct answer is a translation.
A rotation would change the direction, a reflection would change the direction, and a dilation would change the size.
I hope this helps :)
Answer:
translation
Step-by-step explanation:
Data was collected for the number of births per 10,000 people in the United States of America for 20 consecutive years. Below is the data for those 20 consecutive years. Construct a p chart and answer the question below.
157 160 164 167 167 162 158 154 150 146 144 142 143 142 144 141 139 141 140 140
Select the correct lower control limit.
Answer:
Option A is correct.
Step-by-step explanation:
Unit 6: Statistical Process Control POSTTEST Answers (STANDARD NOT HONORS STATISTICS)
1. p bar = 0.0061
2. x bar = 6.992
3. UCL = 0.019
4. Process mean is not within statistical control. There are points above and below the control limits. There is an upward trend.
5. UCL = 58.90; LCL = 40.24
6. Process appears to be out of statistical control. There is a point that lies above the upper control limit.
7. Process mean is not within statistical control. One of the points lies above the upper control limit.
8. UCL = 0.133
9. Process is out of statistical control. There is a downward trend.
10. Process mean is not within statistical control. There are points above and below the control limits. There is a cyclical pattern.
PEARSON CONNEXUS STUDENTS: 100% correct if you put these answers.
From the moment the first car started how many hours will it take the second car to catch up to the first
Answer:
HELP
Step-by-step explanation:
PLEASE HELP! Drag each tile to the correct box.
The height of an object launched upward from ground level is given by the function s(t) = -4.9t2 + 78.4t, where s(t) is the height in meters and t is the time in seconds. Arrange the time intervals in ascending order of the object's magnitude of average velocity over the interval.
Answer:
the distance of the object before it hits the ground after launch is t = 1.592 seconds
Step-by-step explanation:
The height of an object launched upward from ground level is given by the function s(t) = -4.9t² +7.8t
when the object reach the ground then s(t) = 0
So; -4.9t² +7.8t = 0
-4.9t² +7.8t + 0 = 0
By using the quadratic equation
[tex]\mathbf{\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}}[/tex]
where; a = -4.9 ; b = 7.8 and c = 0
[tex]\mathbf{=\dfrac{-(7.8) \pm \sqrt{(7.8)^2-4(-4.9)(0)} }{2(-4.9)}}[/tex]
[tex]\mathbf{=\dfrac{-(7.8) \pm \sqrt{(60.84} }{-9.8}}[/tex]
[tex]\mathbf{=\dfrac{-(7.8) + \sqrt{(60.84} }{-9.8} \ \ \ \ OR \ \ \ \ \mathbf{\dfrac{-(7.8) - \sqrt{(60.84} }{-9.8}}}[/tex]
[tex]\mathbf{=0 \ \ \ OR \ \ \ 1.592 }}[/tex]
Hence; the distance of the object before it hits the ground after launch is t = 1.592 seconds
Use the ratio test to determine whether the series is convergent or divergent.2 +4/2^2 + 8/3^2 + 16/4^2 +
Answer:
The result is 2 > 1. Hence, the series diverges
Step-by-step explanation:
You have the following series:
[tex]2+\frac{4}{2^2}+\frac{8}{3^2}+\frac{16}{4^2}+...+\frac{2^n}{n^2}=\sum_{i=1}^{i=n}a_n[/tex] (1)
You use the ratio test to determine if the series is convergent or divergent. The ratios test is given by:
[tex]\lim_{n \to \infty} \frac{a_{n+1}}{a_n}[/tex] (2)
Then, you replace the series (1) in (2):
[tex]\lim_{n \to \infty} \frac{\frac{2^{n+1}}{(n+1)^2}}{\frac{2^n}{n^2}}= \lim_{n \to \infty} \frac{(2^n2)(n^2)}{2^n(n+1)^2}\\\\\lim_{n \to \infty} \frac{2n^2}{n^2+2n+1}= \lim_{n \to \infty} \frac{2n^2}{n^2[1+\frac{2}{n}+\frac{1}{n^2}]} \\\\\lim_{n \to \infty} \frac{2}{1+\frac{2}{n}+\frac{1}{n^2}}=\frac{2}{1+0+0}=2[/tex]
In the ratio test you have that if the limit is greater than 1, the series diverges.
The result is 2 > 1. Hence, the series diverges.
PLEASE HELP!!!! attached photo
Answer:
(-1, -2.5)
Step-by-step explanation:
The midpoint formula is just basicallyadding both of the x values and then dividing the sum of them by 2, after that you will be adding both y values and then dividing them by 2, then you will get the midpoint x and y coordinate values. You can look up midpoint formula on google to see how it's actually written. You have to make sure to add correctly when you are using the negative numbers, because they can actually turn the equations into subtraction. Keep in mind, it can beconfusing sometimes when you are working with positive and negative numbers together. So make sure to just double check your work and also to make sure you added correctly.
Brainliest please, I need a few more :D
Find the area of a face of a rectangular prism.
What is the area of the front of the prism?
Area =
cm2
Answer:
It is L*W*H.
Width times Height
Step-by-step explanation:
I don't know what you are exactly talking about, there are no attached worksheet. But if you are talking about the formula for the rectangular prism.
Formula for rectangle prism: L*W*H
Area of the front of the prism: Width times height
Answer:
12cm2
Step-by-step explanation:
edge 2020 correct on assignment
What is the domain of the following parabola? (5 points)
3
-2
-1/
x
1
xs1
All real numbers
ys2
Answer:
Step-by-step explanation:
The domain of this quadratic is "all real numbers." The function is defined for all x.
