Answers
Answer:
D
Step-by-step explanation:
To be a function each value of x must correspond to only one, unique value of y.
In the given ordered pairs
Each x- value corresponds to exactly one y- value
Related Questions
ANSWER ASAP DO # 8 AND 9
Answers
Answer:
8: 1721 m
9: 1173 m
Step-by-step explanation:
8:
[tex]d = v_{i} t + \frac{1}{2}at^{2}[/tex]
because initial velocity is 0:
[tex]d = \frac{1}{2} at^{2} = \frac{1}{2}(3.2m/s^2)(32.8 s)^2 = 1721.344 m[/tex]
9:
[tex]v_f^2 = v_i^2 + 2ad[/tex]
because velocity initial is 0:
[tex]v_f^2 = 2ad[/tex]
[tex]d = \frac{v_f^2}{2a} = \frac{(88m/s)^2}{2(3.3 m/s^2)} = 1173.3333 m[/tex]
Answer:
do it youself
Step-by-step explanation:
Evaluate each expression for the given values of the variables: |a+x|/2-|a-x|/2if a=−2; x=−6
Answers
Answer:
2
Step-by-step explanation:
|a+x|/2-|a-x|/2
Plug in the values.
|-2+-6|/2-|-2- -6|/2
Evaluate.
|-8|/2-|4|/2
Apply rule : |-a| = a
8/2 - 4/2
4 - 2
Subtract.
= 2
Hope this helped!
John is a trail runner who decides to take a day off work to run up and down a local mountain. He runs uphill at an average speed of 5 miles per hour and returns along the same route at an average speed of 7 miles per hour. Of the following, which is the closest to his average speed, in miles per hour, for the trip up and down the mountain?
(A) 5.5
(B) 5.8
(C) 6.0
(D) 6.3
(E) 6.5
Answers
Answer:
Average speed
= 5 5/6 mph , or
= 5.83 mph (to 2 decimals)
Step-by-step explanation:
Average speed is total distance divided by the total time it takes to cover the given distance.
Since uphill = 5 mph, and downhill = 7 mph, we know the average speed is between 5 and 7 mph.
Let
x = distance uphill, and also distance downhill.
Total distance = 2x miles
Total time = x/5 + x/7 hours = 12x/35 hours
Average speed
= total distance/total time
= 2x / (12x/35) mph
= 70x / 12x
= 5 5/6 mph
= 5.83 mph (to 2 decimals)
What you first want to do to find the average speed is add 5 miles and 7 miles together. You don’t need to convert the time because they both are in mph. Then you divide it by 2, getting the average of the trip up and down the mountain. If you need to find the average of something, use the mean formula.
Find the value of z.
Answers
Answer:
2
Step-by-step explanation:
opposite angles are the same
the shape opposite to 'z' is labelled with 2
which means that, that angle is 2 degrees
which also means that z would be 2 aswell.
If the polynomial - 6 + 16 - 25x + 10 is divided by - 2x + k, the remainder comes out to be x + a, find k and a
Answers
Answer:
k=5
a= -5
Step-by-step explanation:
if the polynomial x^4-6x^3+16x^2-25x+10 is divided by x^2-2x+k the remainder comes out to be x+a,find k and a
Solution
x^4-6x^3+16x^2-25x+10 / x^2-2x+k = x-a
We have,
(4k-25+16-2k)x+[10-k(8-k)] = x+a
(2k+9)x + (10-8k+k^2)=x+a
2k-9=1
2k=1+9
2k=10
Divide both sides by 2
2k/2=10/2
k=5
And
10-8k+k^2=a
10-8(5)+(5^2)=a
10-40+25=a
-5=a
Therefore, a=-5
x^4-6x^3+16x^2-25x+10 divided by x^2-2x+5 = x-5
There are 18cans on a shelf a customer bought 7 cans then jake pu 6cans on the shelf how many cans are on the shelf
Answers
Answer:
17 cans
Step-by-step explanation:
18 cans
7 are taken away
18-7 =11
Then we put 6 back on
11+6 = 17
There are now 17 cans
HELP ME PLEASE!!!!!!!!!!!!!
A hospital found that a lower outside temperature indicates a higher number of patient visits. What can we determine from this information?
There is no correlation between outside temperature and number of patient visits.
There is a correlation between outside temperature and number of patient visits. However, there is no causation. This is because there is an increase in the number of patient visits with a decrease in the temperature outside.
There is a correlation between outside temperature and number of patient visits. There may or may not be causation. Further studies would have to be done to determine this.
Answers
There is a correlation (negative correlation in fact because patient numbers decrease with an increase in temperature or vice versa) between outside temperature and number of patient visits. There may or may not be causation. Further studies would have to be done to determine this.
There might be a causation factor because lower temperatures is associated with winter which is influenza season.
This means that it is reasonable to assume correlation may mean causation.
If it was let’s say a correlation between sales of ice cream and number of people drowning. There is no causation, as sales of ice cream don’t directly impact number of drowning incidents. It’s due to a hidden variable (temperature).
Answer:
negative correlation
Step-by-step explanation:
Asked my teacher
The sports car travels along a straight road such
that its acceleration is described by the graph. Construct the
v-s graph for the same interval and specify the velocity of
the car when s = 10 m and s = 15 m.
Answers
Answer:
at s = 10m, v(t_1) = 7.663 m/s
at s = 15m, v(t_2) = 10.041 m/s
Step-by-step explanation:
for the interval 0-10 seconds,
a(t) = t m/s^2
v(0) = 0
v(t) = v(0) + integral(a(t)dt)
= 0 + [t^2/2]
= (1/2) t^2
s(0) = 0 .................. arbitrary
s(t) = s(0) + integral(v(t)dt)
= 0 + integral ((1/2)t^2)
= (1/6)t^3
When s(t) = 10 m,
(1/6)t^3 = 10
t^3 = 60
t_1 = 60 ^(1/3) = 3.9149 s approx.
v(t_1) = (1/2) t_1^2 = (1/2)3.9149^2 = 7.663 m/s
When s = 15 m
(1/6)t^3 = 15
t^3 = 90
t_2 = 4.4814 s approx.
v(t_2) = (1/2)t_2^2 = (1/2)4.4814^2 = 10.041 m/s
Answer:
at s = 10m, v(t_1) = 7.663 m/s
at s = 15m, v(t_2) = 10.041 m/s
Step-by-step explanation:
I took the test and got it right
You can buy 5 cans for green beans at the village market for $2.80. You can buy 10 of the same cans of beans at Sam's club for $4.90. Which place is the better to buy
Answers
Answer:
The unit price at the village market is 2.80 / 5 = 0.56 and the unit price at Sam's Club is 4.90 / 10 = 0.49. Since 0.49 < 0.56, the answer is Sam's Club.
Answer: Sam's club
Step-by-step explanation:
Because 10/2 = 5, at Sam's club you get twice the beans. Thus, simply multiply 2.8*2 = 5.60. Because $5.60>$4.90, the village market is the worse place to buy.
Ahmad spent $27 on fruit at the grocery store. He spent a total of $45 at the store. What percentage of the total did he spend on fruit?
Answers
Answer:
60%Step-by-step explanation:
[tex]\frac{27}{45} \times 100/1\\= \frac{2700}{45}\\ \\=60\%[/tex]
Answer:
60 %
Step-by-step explanation:
To find the percentage spent on fruit, take the amount spent on fruit over the total amount
27/45
.6
Change to a percent by multiplying by 100
60%
write 4.83×10⁵ as an ordinary number
Answers
Answer:
483,000
Step-by-step explanation:
hope this helps :)
Answer:
The answer is 483,000 as an ordinary number
Step-by-step explanation:
URGENT PLEASE HELP
1. Use the rules of divisibility to check which of the following
numbers are multiples of (are divisible by) 2,3,4,5,6, 8, 9 and 10
a) 552
b) 315
c) 620
d) 426
Answers
b) 315 is a multiple of 3, 5 and 9
c) 620 is a multiple of 2, 4, 5 and 10
d) 426 is a multiple of 2 and 3
Rules include:
Even numbers are divisible by 2.
If the sum of a number’s digits are divisible by 3, the number is divisible by 3.
Any number ending in 5 or 0 is divisible by 5.
Any number divisible by both 2 and 3 is divisible by 6.
If the sum of a number’s digits are divisible by 9, the number is divisible by 9.
If a number ends in 0, it is divisible by 10.
While standing in front of the school
Answers
Answer:
Step-by-step explanation:
what do u see!????????
please help!!! Its not a super hard question i just want to make sure im right
Answers
Answer:
D
Step-by-step explanation:
If you put the equation into a graphing calculator it will give ou a function than is a straight line that is stretched vertically by 3 units
Which of the following graphs is the graph of
Answers
Answer:
Graph A is the one that represents the given piecewise function.
Step-by-step explanation:
Notice that the Domain of the given function has been partitioned in three sections:
[tex]-2\leq x<0\,\,; \,\,\,x = 0\,\,;\,\,\,0<x\leq 2[/tex]
in the first section we have that the function responds to [tex]f(x)=x-1[/tex], which is a line of positive slope (ascending line) equal to "1", and y-intercept at y= -1.
This line should therefore start at the point (-2, -3) (when x = -2) and end at y almost equal to -1, when x approaches the value zero; and an empty dot should be seen in the position (0, -1)
For x = 0 we should see a solid dot located at the position (0, 1) on the plane.
And finally for the third section we should see a horizontal segment (that represents a constant value of 3, starting with an empty dot at the point (0, 3), and ending on a solid dot located at (2, 3).
This is what we see represented by the graph labeled A in the list of answer options.
Answer:
B
Step-by-step explanation:
Surface Area of Triangular Prism
Instructions: Find the surface area of each figure. Round your answers to the nearest tenth, if necessary.
PLEASE HELP ME!!!
Answers
===================================================
Explanation:
Any triangle prism is composed of 2 parallel triangular faces (base faces), along with 3 rectangular lateral faces.
The bottom triangle face has a base of 10 cm and a height of 4 cm. The area is 0.5*base*height = 0.5*10*4 = 20 square cm. Two of these triangles combine to an area of 2*20 = 40 square cm. We'll use this later.
The lateral surface area of any prism can be found by multiplying the perimeter of the base by the height of the prism. The base triangle has side lengths 5, 8 and 10. The perimeter is 5+8+10 = 23. So the lateral surface area is (perimeter)*(height) = 23*9 = 207
Add this to the total base area we got earlier and the answer is 40+207 = 247. The units are in square cm, which we can write as cm^2.
A pair of linear equations is shown:
y=-3x + 5
y = x + 2
Which of the following statements best explains the steps to solve the pair of equations graphically?
O on a graph, find the point of intersection of two lines; the first line has y-intercept = 5 and slope = -3, and the second line has y-intercept = 2 and slope =
1.
O on a graph, find the point of intection of two lines; the first line has y-intercept = -3 and slope = 5, and the second line has y-intercept = 1 and slope =
2.
O On a graph, find the point of intersection of two lines; the first line has y-intercept = -5 and slope = 3, and the second line has y-intercept = -2 and slope =
-1.
O On a graph, find the point of intersection of two lines; the first line has y-intercept = 3 and slope = -5, and the second line has y-intercept = -1 and slope =
-2.
Answers
Answer:
Hey there!
On on a graph, find the point of intersection of two lines; the first line has y-intercept = 5 and slope = -3, and the second line has y-intercept = 2 and slope = 1.
Hope this helps :)
a^2 + b^2 + c^2 = 2(a − b − c) − 3. (1) Calculate the value of 2a − 3b + 4c.
Answers
Answer:
[tex]2a - 3b + 4c = 1[/tex]
Step-by-step explanation:
Given
[tex]a^2 + b^2 + c^2 = 2(a - b - c) - 3[/tex]
Required
Determine [tex]2a - 3b + 4c[/tex]
[tex]a^2 + b^2 + c^2 = 2(a - b - c) - 3[/tex]
Open bracket
[tex]a^2 + b^2 + c^2 = 2a - 2b - 2c - 3[/tex]
Equate the equation to 0
[tex]a^2 + b^2 + c^2 - 2a + 2b + 2c + 3 = 0[/tex]
Express 3 as 1 + 1 + 1
[tex]a^2 + b^2 + c^2 - 2a + 2b + 2c + 1 + 1 + 1 = 0[/tex]
Collect like terms
[tex]a^2 - 2a + 1 + b^2 + 2b + 1 + c^2 + 2c + 1 = 0[/tex]
Group each terms
[tex](a^2 - 2a + 1) + (b^2 + 2b + 1) + (c^2 + 2c + 1) = 0[/tex]
Factorize (starting with the first bracket)
[tex](a^2 - a -a + 1) + (b^2 + 2b + 1) + (c^2 + 2c + 1) = 0[/tex]
[tex](a(a - 1) -1(a - 1)) + (b^2 + 2b + 1) + (c^2 + 2c + 1) = 0[/tex]
[tex]((a - 1) (a - 1)) + (b^2 + 2b + 1) + (c^2 + 2c + 1) = 0[/tex]
[tex]((a - 1)^2) + (b^2 + 2b + 1) + (c^2 + 2c + 1) = 0[/tex]
[tex]((a - 1)^2) + (b^2 + b+b + 1) + (c^2 + 2c + 1) = 0[/tex]
[tex]((a - 1)^2) + (b(b + 1)+1(b + 1)) + (c^2 + 2c + 1) = 0[/tex]
[tex]((a - 1)^2) + ((b + 1)(b + 1)) + (c^2 + 2c + 1) = 0[/tex]
[tex]((a - 1)^2) + ((b + 1)^2) + (c^2 + 2c + 1) = 0[/tex]
[tex]((a - 1)^2) + ((b + 1)^2) + (c^2 + c+c + 1) = 0[/tex]
[tex]((a - 1)^2) + ((b + 1)^2) + (c(c + 1)+1(c + 1)) = 0[/tex]
[tex]((a - 1)^2) + ((b + 1)^2) + ((c + 1)(c + 1)) = 0[/tex]
[tex]((a - 1)^2) + ((b + 1)^2) + ((c + 1)^2) = 0[/tex]
Express 0 as 0 + 0 + 0
[tex](a - 1)^2 + (b + 1)^2 + (c + 1)^2 = 0 + 0+ 0[/tex]
By comparison
[tex](a - 1)^2 = 0[/tex]
[tex](b + 1)^2 = 0[/tex]
[tex](c + 1)^2 = 0[/tex]
Solving for [tex](a - 1)^2 = 0[/tex]
Take square root of both sides
[tex]a - 1 = 0[/tex]
Add 1 to both sides
[tex]a - 1 + 1 = 0 + 1[/tex]
[tex]a = 1[/tex]
Solving for [tex](b + 1)^2 = 0[/tex]
Take square root of both sides
[tex]b + 1 = 0[/tex]
Subtract 1 from both sides
[tex]b + 1 - 1 = 0 - 1[/tex]
[tex]b = -1[/tex]
Solving for [tex](c + 1)^2 = 0[/tex]
Take square root of both sides
[tex]c + 1 = 0[/tex]
Subtract 1 from both sides
[tex]c + 1 - 1 = 0 - 1[/tex]
[tex]c = -1[/tex]
Substitute the values of a, b and c in [tex]2a - 3b + 4c[/tex]
[tex]2a - 3b + 4c = 2(1) - 3(-1) + 4(-1)[/tex]
[tex]2a - 3b + 4c = 2 +3 -4[/tex]
[tex]2a - 3b + 4c = 1[/tex]
What is the greatest common factor of the three terms?
36h, 12h6, 48h5
Answers
Answer:
12hStep-by-step explanation:
each term has h^1
each term's coefficient is divisible by 12
12h( 3, h^5, 4h^4)
So, the GCF is 12hHelp me with this I’m confused
Answers
ok its 11 sqrt 6
because if sqrt 6 is x, and 5x +6x=11x
so its 11 sqrt 6
Find the area of the triangle. Round the answer to the nearest tenth. Triangle is SSA. a= 3.7 b= 3.7 β= 70° ----- A.4.4 square units B.5.2 square units C.6.8 square units D.8.8 square units
Answers
Answer:
A. 4.40 square units
Step-by-step explanation:
The triangle is isosceles with base angles of 70°. The a.pex angle will be ...
180° -2(70°) = 40°
The area of a triangle can be computed from two sides and the angle between them as ...
A = (1/2)ab·sin(γ)
A = (1/2)(3.7)(3.7)sin(40°) ≈ 4.40 . . . square units
3-(x-3)=25 solve the equation
Answers
Answer:
x= -19
Step-by-step explanation:
3-(x-3)=25
Distributive property to cancel out the paranthesis
3-x+3=25
Add the number
6-x=25
Subtract 6 on both sides
-x=19
Divide by -1 on both sides so the x to eliminate the negative sign
x=-19
On a coordinate plane, 2 lines are shown. Line H J has points (negative 4, negative 2) and (0, 4). Line F G has points (negative 4, 1) and (0, negative 2). Which statement best explains the relationship between lines FG and HJ? They are perpendicular because their slopes are equal. They are perpendicular because their slopes are negative reciprocals. They are not perpendicular because their slopes are equal. They are not perpendicular because their slopes are not negative reciprocals.
Answers
Answer:
They are not perpendicular because their slopes are not negative reciprocals.
Step-by-step explanation:
Well first we need to find slope.
[tex]\frac{y^2-y^1}{x^2-x^1}[/tex]
Line HJ)
(-4,-2) , (0,4)
y2 is 4 y1 is -2, so 4 - -2 = 6
0 - -4 = 4
6/4 -> 3/2
Due to the point (0,4) having no x value 4 is the y intercept.
Hence, y = 3/2x + 4 is the slope of line HJ
Line FG)
(-4,1) , (0,-2)
y2 is -2 y1 is 1, so -2 - 1 = -3
0- -4 = 4
Because (0,-2) is missing an x value -2 is the y intercept,
Equation: y = -3/4x - 2
They are not perpendicular because their slopes are not negative reciprocals.
The slope of HJ (3/2) and the slope of FG (-3/4) are not negative reciprocal, so, they are not perpendicular. (Option D).
Recall:
Lines that are parallel will have the same slope.Lines that are perpendicular to each other will have slope values that are negative reciprocal of each other.Slope (m) = [tex]\frac{y_2- y_1}{x_2 - x_1}[/tex]Given that lines HJ (blue line) and FG (red line) are on a coordinate plane as shown in the diagram attached below, let's find their slope:
Slope of line HJ:
[tex]Slope (m) = \frac{-2 - 4}{-4 -0} = \frac{-6}{-4} = \frac{3}{2}[/tex]
Slope of HJ is 3/2Slope of line FG:
[tex]Slope (m) = \frac{-2 - 1}{0-(-4)} = \frac{-3}{4} = -\frac{3}{4}[/tex]
Slope of FG is -3/4Therefore, the slope of HJ (3/2) and the slope of FG (-3/4) are not negative reciprocal, so, they are not perpendicular. (Option D).
Learn more here:
https://brainly.com/question/18975049
use the graph to find the cost of 8 shirts
Answers
Answer:
Option B
Step-by-step explanation:
When we compare the number of shirt with it's cost, we find out that 8 shirts cost $120.
For more understanding, see the attached file.
Daniel is a very good television salesperson. His annual sales average at $187,400. His commission on sales is 30% and his annual base salary is $40,000. On average what is his annual gross income?
Answers
Answer: $96,220
Step-by-step explanation:
From the questionwe are we informed that Daniel is a very good television salesperson and that his annual sales average at $187,400 and his commission on sales is 30% while his annual base salary is $40,000.
His annual gross income will be his annual base salary plus commission annually. This will be:
= $40,000 + (30% × $187,400)
= $40,000 + (0.3 × $187,400)
= $40,000 + $56,220
= $96,220
Different cereals are randomly selected and the sugar content in grams of sugar per grams of cereal are obtained. Use a .05 significance level to test the claim of cereal lobbyist that the mean sugar content for all cereals is less than .3 g. Data set: 0.03, 0.24, 0.30, 0.47, 0.43, 0.07, 0.47, 0.13, 0.44, 0.39, 0.48, 0.17, 0.13, 0.09, 0.45, 0.43
Answers
Answer:
Step-by-step explanation:
Hello!
X: content of sugar of a sample of cereal.
Data set:
0.03, 0.24, 0.30, 0.47, 0.43, 0.07, 0.47, 0.13, 0.44, 0.39, 0.48, 0.17, 0.13, 0.09, 0.45, 0.43
n= 16
[tex]\frac{}{X}[/tex]= 0.295g
S= 0.17g
You have to test if the mean sugar content is less than 0.3g
H₀: μ ≥ 0.3
H₁: μ < 0.3
α: 0.05
Assuming that the variable has a normal distribution, you have to conduct a t test:
[tex]t= \frac{\frac{}{X}-Mu }{\frac{S}{\sqrt{n} } } ~~t_{n-1}[/tex]
[tex]t_{H_0}= \frac{0.295-0.30}{\frac{0.17}{\sqrt{16} } } = -0.12[/tex]
p-value: 0.4533
The p-value is greater than α, the decision is to not reject the null hypothesis.
At a 5% significance level the decision is to not reject the null hypothesis. You can conclude that the average sugar content of the cereal is equal or greater than 0.3g of sugar per gram of cereal.
I hope this helps!
These figures are similar the area of one is give. Find the area of the other
Answers
Answer:
80 in²
Step-by-step explanation:
8/10 = x/100
x = 80
Plz.. Help me.. True or false?
Answers
Answer:
[tex]\boxed{\mathrm{False}}[/tex]
Step-by-step explanation:
[tex](p-q)^2[/tex]
[tex](p-q)(p-q)[/tex]
Use FOIL method.
[tex]p^2-pq-pq +q^2[/tex]
[tex]p^2-2pq +q^2[/tex]
The sum of a number and 9 is seven less than the product of the number and 4. What is the number?
Answers
Answer:
10
Step-by-step explanation:
let n represent the number
sum means to add
product means multiply
n + 9 < n • 4
if you fill in 10 for your variable n you will get:
19 < 40
10 plus 9 is 19
10 by 4 is 40
and
because 19 is less than 40 that statement is true
WILL MARK BRAINLEST
Drag each scenario to show whether the final result will be greater than the original
value, less than the original value, or the same as the original value.
Options:
An 80% increase followed by a 40% decrease
A 33 1/3% decrease followed by a 50% increase
A $25 increase followed by a $30 decrease
A 50% decrease followed by a 100% increase
A 20% increase followed by a 25% decrease
And they go into the categories that are...
Same as the original
Less than the original
And
Greater than original
Answers
Answer:
Let x be the original number. Also, please note that a percentage can be written as a decimal(54%=0.54), and that a percentage increase is the percent +1(A 54% increase is x*1.54), and that a percentage decrease is 1- the percent(A 54% decrease is 0.46)
1)1.8*0.6x= 1.08x (greater than the original)
2).6666*1.5x=0.9999x (same as original)(.999999 is essentially 1, because .3333 is not equal to 1/3)
3)x+25-30 = x-5 (less than original)
4)0.5*2x=x (same as original)
5)1.2*.75x=.9x (less than original)
Hope it helps <3
Greater than the original.
Same as the original.
Less than the original.
Same as the original.
Less than the original.
Step-by-step explanation:To check all the scenarios, let's say that the original value is 100.
An 80% increase followed by a 40% decrease:
100 * (1 + 0.8) = 100 * 1.8 = 180.
180 * (1 - 0.4) = 180 * 0.6 = 108.
It is greater than the original.
A 33 1/3% decrease followed by a 50% increase:
100 * (1 - 0.33333333) = 100 * 0.6666666667 = 66.666666667.
66.6666666667 * (1 + 0.5) = 66.666666667 * (3/2) = 100.
It is the same as the original.
A $25 increase followed by a $30 decrease:
100 + 25 = 125.
125 - 30 = 95.
It is less than the original.
A 50% decrease followed by a 100% increase:
100 * (1 - 0.5) = 100 * 0.5 = 50.
50 * (1 + 1) = 50 * 2 = 100.
It is the same as the original.
A 20% increase followed by a 25% decrease:
100 * (1 + 0.2) = 100 * 1.2 = 120.
120 * (1 - 0.25) = 120 * 0.75 = 90.
It is less than the original.
Hope this helps!