We know the slope formula
m=-a/bm=-4/2m=-2Parallel lines have equal slope so it has m=-2
An 80-centimeter ramp connects the sidewalk to the bed of a truck. If the ramp
forms a 30-degree angle with the ground, the truck bed is centimeters off the ground.
The truck bed is 40cm .
What is a right-angled triangle?A right-angled triangle is a triangle with one of its angle 90°.
Analysis:
The ramp, the height of the truck bed from ground and the distance of truck bed to the point the ramp makes contact with the ground form a right angle triangle.
So that sin 30 = height of truck bed above ground/length of ramp
sin 30 = height/80
height of the truck = 0.5 x 80 = 40cm
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Devaughn earns $7.25 per hour working as a waiter at TGI Fridays. He typically pays a total of $89.76 towards deduction. If he works 37 hours, what will Devaughn net?
Hello, the answer should be $178.49.
If Devaughn earns $7.25 an hour at his job, we need to find out how much money he will make if he works for 37 hours.
[tex]37.(7.25)=268.25[/tex]
Next, we need to subtract the deduction amount from the total amount.
Net Equation will be defined as;
[tex]N=T-D[/tex]
[tex]N=(268.25)-(89.76)=178.49[/tex]
Good luck! If you have any questions, then feel free to ask in comments!
A light bulb consumes 1440 watt-hours per day. How long does it take to consume 6480 watt-hours?
The number of days it will take to consume the given power = 4.5 days
Calculation of energy consumptionThe amount of power consumed per day = 1440watt-hours
Therefore X days = 6480 watt-hours?
Make X the subject formula;
X = 1 × 6480/1440
X = 4.5 days
Therefore, The number of days it will take to consume the given power = 4.5 days.
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atty had four times as many quarters as nickels. She had $12.60 in all. How many nickels and how many quarters did
he have?
Which of the following equations could be used to solve the problem?
n+5n=1,260
25n+100 n=1,260
On+ 5 n=12.60
O5 n+100 n=12.60
help me out bro please give me the right answer
Answer:
Always
Step-by-step explanation:
The alternate interiors are the orange pair and the green pair in between lines a and b. They've got symmetry! Rotating one of those lines 180 degrees won't change the picture or the angles of intersection, but it will flip one onto the other. Anyway, there's you answer above, if that's all you're looking for.
Julia made a model of a square pyramid. She used cardboard to construct the model with the dimensions shown. It has an open bottom.
A square pyramid has a square base with side lengths of 8 centimeters, and 4 triangular sides with a height of 5 centimeters.
What is the surface area of the model?
A. 80 cm2
B. 144 cm2
C. 224 cm2
D. 320 cm2
Answer:
A. 80 cm²
Step-by-step explanation:
If a square pyramid has an open base, then the surface area is made up of the 4 congruent triangular sides only.
Area of a triangle = 1/2 × base × height
Given:
Base = 8 cmHeight = 5 cm⇒ Area of one triangular face = 1/2 × 8 × 5
= 20 cm²
⇒ Total surface area = 4 triangular faces
= 4 × 20
= 80 cm²
Answer:
80 cm²
Step-by-step explanation:
I did it and I got it right
What type of function is represented by the table of values below?
y
4
8
12
16
20
A. exponential
B. cubic
C. linear
D. quadratic
X12345
X
Answer
The type of function that is represented by the table of values below is C. linear
A box 10 centimeters high, 5 centimeters long, and 5 centimeters wide.Find the volume of a box with a length of 5 cm, a width of 5 cm, and a height of 10 cm.
Answer:
250 [tex]cm^{3}[/tex]
Step-by-step explanation:
First, start with the formula for the volume of a rectangular prism (aka a box):
V=length*width*height
Then, plug in your values:
V=5*5*10
V=25*10
V=250
Don't forget your units!
250 [tex]cm^{3}[/tex]
PRECISION In November 2010 the average cost of 5 gallons of regular unleaded gasoline in the United States was $14.46. What was the average cost for 16 gallons of gasoline?
Answer:
$46.272
Step-by-step explanation:
Let f(x) = -3x³ + 4 and g(x) = -8x² + 2x. What is f(x) g(x)?
·
Answer:
[tex]{ \tt{f(x).g(x) = ( - 3 {x}^{2} + 4)( { - 8x }^{2} + 2x) }} \\ = { \tt{( - 3 \times - 8) {x}^{(2 + 2)} + (2 \times - 3) {x}^{(2 + 1)} + ( - 8 \times 4) {x}^{2} + (4 \times 2)x }} \\ = { \tt{24 {x}^{4} - 6 {x}^{3} - 32 {x}^{2} + 8x}}[/tex]
In a class there are two girls for every three boys. The ratio 2 : 3 compares the
number of girls to the number of boys.
a) What is the ratio of boys to the whole class? - 3:5
b) If this class has eight girls, determine how many boys there are using the ratio that there are two girls for every three boys
Answer:
a. I'm not sure if there's more to the question but I can't answer without knowing how many is the whole class
B. 12 boys
how many minutes does the white vacuum need to clean 86.25 square feet?
black vacuum cleans 8 square feet per min
white vacuum cleans 60 square feet for 8 min
red vacuum cleans 150 square feet for 25 min
Answer:
1.5 hours
As a general rule, 1,000 square feet of the house should take 1.5 hours to clean, according to Cleaning 4 Profit. So a 3,000 square feet home should take 3 hours to clean, and so on.
Math
Club
7
6
Debate
Club
15
O
Let p: a student is in the math club and q. a student is
in the debate club.
The verbal translation of p v q is:
A student is in math club
in debate club.
pvq is true for a total of
students.
The verbal translation of p v q is:
A student is in math club OR debate club
pvq is true for a total of 28 students.
Calculations and Parameters:Given the table:
Math Club Debate Club7 15
6
If p represents a student from the maths club
If a represents a student from the debate club
The verbal translation of p v q is:
A student is in math club OR debate club
Hence, the total number of students based on pvq is 7 + 6 + 15= 28 students.
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HELP ME PLEASE............................................................
Answer:
2√6
Step-by-step explanation:
find the hypotenuse of the triangle thats 3 and 7
pythagorean
3 squared + 7 squared
16 + 49 = 57
√57 is the hypotenuse
√57 is also the base of the triangle that has side thats 9
pythagorean theorem
x squared + √57 squared = 9 squared
x^2 + 57 = 81
x^2 = 81 - 57
x^2 = 24
x = √24
x = √4 * √6
x = 2√6
Solve x + 5 = 7.
OA. x = -2 and x = 12
OB. x = 2 and x = -2
C. x = 2 and x = -12
OD. x = -2 and x = -12
what is 14 divided bye 3
Answer:
4.66
14÷ 3 = 4 r 2
add 0 to 2 ( this attracts a decimal point in your answer)
20 ÷ 3 = 6r 2
and = 4.66
3 x 10³ - 7000
(8 × (-5)) + (4² + 22)
please help!
solve as simplest answer!
Answer:
283038 or 2.83038×10⁵
Step-by-step explanation:
3×10³-7000(-40)+(16+22)3×10³+280000+383×1000+2800383000+280038283038HELLPPP!!! ASAPPP WHAT IS THE EQUATION FOR THE RED GRAPH?!?!
Answer: The correct answer is D.
Step-by-step explanation: A and B is incorrect because the x value is 0. C is incorrect because the y-intercept is 3, not -3. Hence, it is D.
The formula for the nth term of an arithmetic sequence can be found using the formula a Subscript n Baseline = a Subscript 1 Baseline + (n minus 1) d. Which of the following is equivalent to this equation?
The equation of nth term will be written as for n as will be ([tex]\rm a_n[/tex] - a₁ + d) / d. Then the correct option is D.
The missing options are attached to the picture given below.
What is a sequence?A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.
The formula for the nth term of an arithmetic sequence can be found using the formula given below.
[tex]\rm a_n = a_1 + (n-1)d[/tex]
Then arrange the equation for n, we have
[tex]\begin{aligned} \rm a_n - a_1 & \rm = nd - d\\\\\rm a_n - a_1 + d & \rm =nd\\\\\rm n & \rm = \dfrac{a_n - a_1 + d}{d} \end{aligned}[/tex]
Then the correct option is D.
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Answer: The answer is D
Step-by-step explanation:
took the test
a sticker shaped like a rectangle has an area of 56 square centimeters. it has a width of 7 centimeters.
Step-by-step explanation:
Soln:-
Given,
Area of sticker=56 cm^2
Width of sticker=7 cm
Length of sticker=?
We know that,
Area of rectangle=l×b
or,56=l×7
or,l=56÷7
•°•l=8
Hence,the required length of the sticker is 8 cm.
Would the answer for c be 21 square root of 3?
Answer:
c = 14√3 km
Step-by-step explanation:
[tex]x\sqrt{3} =42\Longrightarrow x=\frac{42}{\sqrt{3} } = \frac{42 \times \sqrt{3} }{\sqrt{3}\times \sqrt{3} }=\frac{42 \times \sqrt{3} }{3 }=14 \sqrt{3}[/tex]
Since c = x
Then
c = 14√3
Evaluate each function at the given value using the remainder theorem.
F(x)=x^4+5x^3-18x+1 at x=-4
Please show work , I give brainliest. :)
Answer:
9
Step-by-step explanation:
[tex]f(x) = x^4 +5x^3 -18x +1\\\\f(-4) = (-4)^4 +5(-4)^3 -18(-4) +1\\\\~~~~~~~~~=256+5(-64)+72+1\\\\~~~~~~~~~=329-320\\\\~~~~~~~~~=9[/tex]
This histogram represents a sampling of recent visitors to the mall on a Friday night, grouped by their ages.
Which of the following describes the overall shape of the distribution?
The distribution is nearly symmetrical.
The distribution is skewed left.
The distribution is skewed right.
The distribution is symmetrical.
Answer:
skewed to the right
Step-by-step explanation:
The probability distribution for a
random variable x is given in the table.
X
-10 -5 0
5
10 15 20
Probability ,20 15.05 .1
25 .1 .15
Find the probability that -5 ≤x≤5
The correct answer is 0.3
Given as:X : -10 -5 0 5 10 15 20
P(X)=f(x): 0.20 0.15 0.05 0.1 0.25 0.1 0.15
To find:probability of -5≤x≤5
Solution: ∑f(x)= f(-5)+f(0)+f(5)⇒ P(-5≤x≤5) = 0.15 +0.05+0.1 = 0.3
Hence, the answer of the given question is 0.3.
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What is the effect on the graph of f(x) = x² when it is transformed to
h(x) = x² +12?
Does this graph represent a function? Why or why not?
10-
8-
6-
2
--8-
-10-
O A. No, because it fails the vertical line test.
OB. Yes, because it passes the vertical line test.
OC. Yes, because it is a curved line.
OD. No, because it is not a straight line.
-1080
Is this relation a function? Justify your answer.
Answer:
Can't see the problem. Send a picture of it.
can someone do this for me please?! Just the answer pls
The time taken that the aliens on Vormir will be waiting is 6 days.
How to calculate the distance?From the information given, the speed ia given as 0.7 and the time taken is given as 8.5. It should be noted that the formula for calculating distance will be:
Time = Speed × Distance
Time = 0.7 × 8.5
Time = 6 days approximately.
Therefore, the correct option is D.
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At each point (x, y) on a graph of function f, the graph has a slope equal to 4x - 4. If the
graph of f goes through the point (2, 3), then f(x) =
A)
2x² - 4x - 4
B)
2x² - 4x
C)
2x² - 1
D)
2x² - 4x + 3
E)
16x - 12
Answer:
f(x)= 2x² - 4x + 3
Step-by-step explanation:
dy/dx = 4x - 4
y = integrate dy/dx
y = 4x²/2 - 4x + c
y = 2x² - 4x + c
at (2,3)
3 = 2(2)² - 4(2) + c
3 = 8 -8 + c
c = 3
therefore f(x)= y = 2x² - 4x + 3
The graph of the function is given by f ( x ) = 2x² - 4x + 3
What is a function rule?The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given data ,
Let the function be represented as A
Now , the value of A is
At each point (x, y) on a graph of function f, the graph has a slope equal to 4x - 4
So , dy/dx = 4x - 4
On integrating , we get
f ( x ) = 2x² - 4x + c
where the function passes through P ( 2 , 3 )
So , 3 = 2 ( 2 )² - 4 ( 2 ) + c
c = 3
Hence , the function is f ( x ) = 2x² - 4x + 3
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.
A grab-bag contains 20 packages worth $.70 each, 15 packages $.60 cents each, and 5 packages worth $.30 each. What is the expected value if you have to pay $.50 to pick one package at random?
about $0.53
about $0.00
about $0.60
about $0.11
The expected value if I have to pick one package given the price I would have to pay is $0.11.
What is the expected value?The expected value is the cost you would have to pay subtracted from the total value of one package.
Total value of one package =[ (15 x 0.60) + (5 x 0.3) + (20 x 0.7)]/ (20 + 15 + 5) = $0.61
Expected value = $0.61 - $0.50 = $0.11
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