Answer:
There are 1,679,616 ways to answer the test
Step-by-step explanation:
Here, we want to get the number of ways to answer the test
From the question, we have that there are 8 questions, with each having 6 possible answers
Hence, the total number of answers to pick from is 8 * 6 = 48
We are to pick 6 out of this total 48, with 1 option per question
So in the first, we are picking 1 out of 6
The number of ways here is;
6 C 1 = 6 ways
The next, we have 6 ways also , up to the 8th question
So, the total number of ways will be;
6 * 6 * 6 * 6 * 6 * 6 * 6 * 6 = 6^8 =
1,679,616
14 cm
12 cm
22 cm
Find the area of the trapezoid. and show Work
A. 108 cm
B. 432 cm
C. 60 cm
D. 216 cm
Answer:
D. 216 cm
Step-by-step explanation:
1. I assume 14 is a 22 is b and 12 is h
2. Trapezoid Area Formula
[tex]A = \frac{1}{2}(a+b)h[/tex]
3. Plug in numbers
[tex]A = \frac{1}{2}(14+22)12[/tex]
[tex]216 = \frac{1}{2}(14+22)12[/tex]
factorise p-q-x(q-p)
Answer:
(1 + x)(p - q)
Step-by-step explanation:
Given
p - q - x(q - p) ← distribute parenthesis by - x
= p - q - qx + px ← rearrange terms in p and terms in q
= p + px - q - qx ( factor first/second terms and third/fourth terms )
= p(1 + x) - q(1 + x) ← factor out (1 + x) from each term
= (1 + x)(p - q)
The diameter of a circle is 5 inches. Find the length of its radius. Answer: inches.
Here are the score that Jenna has received on her seven quizzes 16 11 20 16 12 17 18 what is the lower quadrille
Answer:
12
Step-by-step explanation:
lower quartile is the median of 11, 12, and 16
Start time: 7:41 P.M.
Elapsed time:
End time: 8:50 P.M.
Answer:
Elapsed time: 1 hour and 9 minutes
Step-by-step explanation:
7:41 - 8:41 = 1 hour
8:41 - 8:50 = 9 minutes
1 hour and 9 minutes
Hope that helps!
Line d has a slope of 3/2. Line e has a slope of -2/3. Are line d and line e parallel or
perpendicular?
Answer:
We can determine from their equations whether two lines are parallel by comparing their slopes. If the slopes are the same and the y-intercepts are different, the lines are parallel. If the slopes are different, the lines are not parallel. Unlike parallel lines, perpendicular lines do intersect
Rockys rock quarry has three different sized trucks. Each truck can hold three ba the shipping manger put three bags that each hold about 200 pounds.
Question isn't well formatted and seems incomplete :
Rockys rock quarry has three different sized trucks. Each truck can hold three ba the shipping manger put three bags that each hold about 200 pounds. The total weight of in the truck.
Answer:
Step-by-step explanation:
Given that:
Number of trucks = 3
Number of bags each truck can hold = 3
Weight per bag = 200 pounds
Amount of in each truck :
Weight per bag * number of bags
200 * 3 = 600 pounds
Which is 600 pounds per truck
Total pounds carried by the trucks :
600 pounds * 3 = 1800 pounds
Joe runs an M&M's factory and is reviewing the bagging machines. They drop M&M's into bags on a conveyor belt, with 39 M&M's going into each bag. Write an equation for the number of bags 'B' that can be filled from a supply of M&M's 'T'. Write your equation in the form of B=_____________.
The equation for the number of bags 'B' that can be filled from a supply of M&M's 'T' will be T / 39.
How to explain the equationThe formula to determine how many bags 'B' can be filled with M&M's from a stockpile of 'T', where each bag contains 39 candies, is:
B = T/39
This computation takes the sum of all M&M's in 'T' and divides it by the quantity of candies present in each sack (39), producing the amount of bags 'B' that can be filled.
Learn more about equations on
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Help ASAP pleaseee lol
I’ve attached my table of what I’ve done
Hellohello, if you able to help me then please do. (:
What two numbers have a sum of 215 and a difference of 137
Answer:
see below
Step-by-step explanation:
let x = big number
let you = small number
x + y = 215-------> (1)
x - y = 137 ------>(2)
(1)
x = 215 - y ----->(1)
substitute 1 into 2
215 - y -y = 137
-2 y = 78
y = 39
substitute y = 39 into (1)
x = 215 - (39)
x = 176
thus the numbers are 176 & 39
hope this helps
please mark it brainliest
it took me quite long to do this
please hurry if answer is correct i will give brainlyyyyest thx
In this task, you will calculate the area of a complicated shape by splitting it into simpler shapes. Cut out shape C. Shape C is not a regular shape, so you cannot directly apply a formula to find its area. Split shape C into simpler shapes whose areas you can find by applying formulas. List the simple shapes into which you divided shape C, and measure their sides. Write all the measurements in inches.
Answer:
i could only get part one done
Step-by-step explanation:
Perimeter is a measurement of the distance around a shape and area gives us an idea. Understanding how much space you have and learning how to fit shapes ... If the shape is a polygon, then you can add up all the lengths of the sides to find the perimeter. ... You can write “in2” for square inches and “ft2” for square feet
Use the Distributive Property to write an expression equivalent to 4(5x + 11)
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{If you’re doing the DISTRIBUTIVE PROPERTY... all you have to}\\\large\text{MULTIPLY 4 within your PARENTHESES.}[/tex]
[tex]\large\text{}[/tex][tex]\large\text{4(5x) + 4(11)}[/tex]
[tex]\large\text{4(5x) = 20x}[/tex]
[tex]\large\text{4(11) = 44}[/tex]
[tex]\large\text{\bf = 20x + 44 }[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \huge \bf 20x + 44}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:}[/tex]
[tex]\large\text{Your GUIDE}\downarrow[/tex]
[tex]\textsf{Distributive formula}[/tex]
[tex]\textsf{a(b + c)}[/tex]
[tex]\textsf{a(b) + a(c)}[/tex]
[tex]\textsf{= ab + ac}[/tex]
What is the value of the expression: 2/10 ÷ 5/4?
1/50
4/10
8/50
1/2
Answer:
8/50
Step-by-step explanation:
2/10 x 4/5 = 8/50
Hope that helps!
I need help ASAP please
Answer:
It's actually B
Step-by-step explanation:
The measures of the sides are x , x , and x√2 . In a 45°−45°−90° triangle, the length of the hypotenuse is √2 times the length of a leg. To see why this is so, note that by the Converse of the Pythagorean Theorem , these values make the triangle a right triangle.
So x = 4 in this example and the side measures would be 4, 4, and 4√2 which is B
The hypotenuse of an isosceles right triangle is centimeters longer than either of its legs. Find the exact length of each side. (Hint: An isosceles right triangle is a right triangle whose legs are the same length.)
Question
The hypotenuse of an isosceles right triangle is 11 centimeters longer than either of its legs. find the exact length of each side.
Answer:
[tex]Hypotenuse:37.56[/tex]
[tex]Other\ Legs: 26.56[/tex]
Step-by-step explanation:
Let the hypotenuse be y and the other legs be x.
So:
[tex]y = 11 + x[/tex]
Required
Determine the exact dimension of the triangle
Using Pythagoras theorem;
[tex]y^2 = x^2 + x^2[/tex]
[tex]y^2 = 2x^2[/tex]
This gives:
[tex](11+x)^2 = 2x^2[/tex]
Open bracket
[tex]121 + 22x + x^2= 2x^2[/tex]
Collect like terms
[tex]2x^2 - x^2 -22x - 121 = 0[/tex]
[tex]x^2 -22x - 121 = 0[/tex]
Using quadratic formula:
[tex]x = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]
[tex]x = \frac{-(-22)\±\sqrt{(-22)^2 - 4*1*-121}}{2*1}[/tex]
[tex]x = \frac{-(-22)\±\sqrt{968}}{2*1}[/tex]
[tex]x = \frac{22\±31.11}{2}[/tex]
Split
[tex]x = \frac{22+31.11}{2}\ or\ x = \frac{22-31.11}{2}\\[/tex]
[tex]x = \frac{53.11}{2}\ or\ x = \frac{-9.11}{2}[/tex]
x can not be negative.
So:
[tex]x = \frac{53.11}{2}[/tex]
[tex]x = 26.56[/tex]
Recall that:
[tex]y = 11 + x[/tex]
[tex]y = 11 + 26.56[/tex]
[tex]y = 37.56[/tex]
Hence, the dimensions are:
[tex]Hypotenuse:37.56[/tex]
[tex]Other\ Legs: 26.56[/tex]
HELP FASTLY WILL MARK BRAINLEST AND GIVE 5 STAR RATING! ANSWER FASTLY PLEASEEE!
[Image: Coordinate plane with points plotted at ordered pairs Q (–4, 4), R (2, 4), S (5, –3), T (2, –3), and U (–4, –3)]
What is the area of polygon QRSTU? _______ square units?
Please I need help on this problem this assignment due tomorrow!!!!!!! be brainliest if help me
Answer:
don't click that guy's link it's a virus
I'm pretty sure the answer if 50% chance
Step-by-step explanation:
I just combined the probabilities because it's for both lights
hope it helps <3
Pls I need help thank you
Answer:
angle FGJ and angle KJG
hope it helps
(10*2)*3=( )* ( ) * ( )
=
=
Answer:
c= 10 d=2 e=10 f=2 g= 10 h= 6 k=1
Step-by-step explanation:
I am not sure about the g, h and k though.
but cube root means the number thrice.
I hope it helps.
How many fewer throws travelled more than 6 3/4 meters than travelled 6 3/4 meters or less
Answer:
this is not a complete question cause u did not give full numbers
Step-by-step explanation:
not trying to steal points can u finish the question
Determine which of the graphs represent the proportional relationships. Circle the appropriate response.
Problem PLS HELP MY GRADES GOING DOWN
Answer:
$248
Step-by-step explanation:
given:
4 deposits
$62
solve:
4 × $62= $248
Answer:
$248
Step-by-step explanation:
You can answer it two ways:
1) add 62 + 62 + 62 + 62 = 248
2) multiply 4 * 62 = 248
Answer: $248
Help will give b if correct
Answer:
0.28
Step-by-step explanation:
28 divided by 100=0.28
Answer:0.28m
Step-by-step explanation:
Given the definitions of f(c) and g(x) below, find the value of g(f(5)).
f(x) = 2x – 10
g(x) = x2 + 6x – 8
Answer:
gf(5) = -8
Step-by-step explanation:
gf(x) = g(x^-1) = x^2 + 6x - 8
f(x) = 2x - 10
gf(x) = 6(2x - 10) - 8
gf(x) = 12x - 60 - 8
gf(x) = 12x - 68
gf(5) = gf(x) = 12x - 68
gf(5) = 12(5) - 68
gf(5) = 60 - 68
gf(5) = -8
Jehle and Liam a bowl serving 0.5÷200 Jehle says the question will be Less than 0.5 Liam says the quotient would be more than 0.5 which student is correct
Answer:
Jehle is correct.
Step-by-step explanation:
Given - Jehle and Liam a both solving 0.5÷200.
Jehle says the quotient will be Less than 0.5.
Liam says the quotient would be more than 0.5
To find - Which student is correct ?
Proof -
Given expression is 0.5 ÷ 200
It is equivalent to
[tex]\frac{0.5}{200} = \frac{5}{2000} = \frac{1}{400}[/tex] = 0.0025 < 0.5
∴ we get
The expression is Less than 0.5
So, Jehle is correct.
The bird population in a forest is about 2300 and is decreasing at a rate of 5% per year. Let t represent the number of years and P represent the population. Write an exponential decay model to represent this situation. (please fill in those blank spaces)
P = _____ (1 - ____ ) t
Answer: P=2300 (1- 0.05)^x
Step-by-step explanation:
Please help! 30 points!
Use the Law of Cosines to solve the problem.
A ship travels due west for 83 miles. It then travels in a northwest direction for 111 miles and ends up 165 miles from its original position. To the nearest tenth of a degree, how many degrees north of west did it turn when it changed direction? Show your work.
Answer: [tex]64.2^{\circ}[/tex]
Step-by-step explanation:
According to the cosine rule
[tex]\cos C=\dfrac{a^2+b^2-c^2}{2ab}[/tex]
Here, [tex]a=83, b=111, c=165,\ C=180^{\circ}-\theta[/tex]
Putting values
[tex]\Rightarrow \cos (180^{\circ}-\theta)=\dfrac{83^2+111^2-165^2}{2\times 83\times 111}\\\\\Rightarrow \cos(180^{\circ}-\theta)=\dfrac{6889+12321-27225}{18426}\\\\\Rightarrow \cos(180^{\circ}-\theta)=\dfrac{-8015}{18426}=-0.4349\\\\\Rightarrow 180^{\circ}-\theta=\cos^{-1}(-0.4349)=115.77^{\circ}\\\Rightarrow \theta=64.23\approx 64.2^{\circ}[/tex]
So, the ship turns by [tex]64.2^{\circ}[/tex] north of west
The ship turned an at angle of 64.2 degrees north of west
Represent the angle, the ship turned due north of west with theta.
From the figure, we have the following equation
[tex]\cos(A) = \frac{b^2 + c^2 - a^2}{2bc}[/tex]
So, we have:
[tex]\cos(A) = \frac{83^2 + 111^2 - 165^2}{2 * 83 *111}[/tex]
Evaluate the expression on the right-hand side
[tex]\cos(A) = -0.4350[/tex]
Take the arc cos of both sides
[tex]A = \cos^{-1}(0.4350)[/tex]
[tex]A =115.8^o[/tex]
The value of theta is then calculated as:
[tex]\theta = 180 -A[/tex]
This gives
[tex]\theta = 180 -115.8^o[/tex]
[tex]\theta = 64.2^o[/tex]
Hence, the ship turned an at angle of 64.2 degrees north of west
Read more about bearing and elevation at
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3. Which best describes parallel lines?
a) two lines that originate from the
same point
b) two lines that intersect at multiple
points
c) two lines that curve to form a circle
d) two lines that are always equidistant
Answer:
its A
Step-by-step explanation:
its A because parallel are two straight lines next to each other
The table shows the running speeds of 10 randomly selected ostriches. Speed (mlles per hour) 35 40 37 33 36 34 32 36 41 36 Based on the data, select the most reasonable prediction about the speed of ostriches.
A. The typical ostrich runs at speeds greater than 40 miles per hour
B. The top speed of an ostrich is 40 miles per hour.
C. The typical ostrich runs at a speed of about 30 miles per hour
D. The typical ostrich runs at a speed of about 36 miles per hour.
Answer:
D;the tropical ostrich runs at a speed of about 36 miles per hour
Answer: It is D, The typical ostrich runs at a speed of about 36 miles per hour.
Step-by-step explanation:
I took the quiz on A p e x^^