Answer: we can make 15,504 different math tests
Step-by-step explanation:
Ok, we have a bank with 20 questions (Q1, Q2........ , Q20)
and we want to make a test with 15 of those 20 questions.
As the order of the questions does not matter in the thest ( is the same if the order is Q1, Q2, ...., Q15 than if the order is Q15, Q14, ....., Q1 )
So we only want the number of combinations.
When we have N elements and we want to create groups of K elements, the total number of combinations is:
[tex]C = \frac{N!}{(N - K)!*K!}[/tex]
Here N = 20 and K = 15
[tex]C = \frac{20!}{5!*15!} = \frac{20*19*18*17*16}{5*4*3*2*1} = 15,504[/tex]
So we can make 15,504 different math tests
the ratio of hopeless romantics to hard-headed skeptics was 459 to 2. if there were 7,803 hopeless romantics, how many hard-headed skeptics were there?
Answer:
333
Step-by-step explanation:
Answer:
34 hard-headed skeptics
Step-by-step explanation:
Write and solve an equation of ratios:
459 2
--------- = ----
7803 x
Cross-multipying, we get:
459x = 15606, which yields x = 15606/459 = 34
There were 34 hard-headed skeptics.
What is the distance between points A and B?
А
B
-8 -7 -6 -5 -4 -3 -2 -1
0
1
2
3
4
5
6
7
8
0-6 units
- 1 units
5 units
6 units
Rewrite 2/5 book 1/2 hour as a unit rate
Answer:
4/5 book per hour
Step-by-step explanation:
In this question, we are to rewrite (2/5)/(1/2) as unit rate.
To write this as a unit rate, what we need to do
is to divide 2/5 by 1/2.
That means 2/5 divided by 1/2
Removing the division and replacing with multiplication will give 2/5 * 2/1 = 4/5 books/hour
Step-by-step explanation:
4/5 books/hour
PLS HELP THXSSSSSSS
QUICKLY TOOO
Answer:
94.2 cm³
Step-by-step explanation:
The volume of a cone is
1/3 x h x π x r²
Plug in the values!
1/3 x 10 x 3.14 x 3²
1/3 x 10 x 3.14 x 9
3 x 10 x 3.14
30 x 3.14
94.2 cm³
Answer:
V =94.2 cm^3
Step-by-step explanation:
The volume of a cone is
V = 1/3 pi r^2 h
The radius is 3 and the height is 10
V = 1/3 ( 3.14) 3^2 * 10
V = 1/3 (3.14) *9(10)
V =94.2 cm^3
If b=13 and A=76 degrees, then find a.
Answer:
Option (D).
Step-by-step explanation:
In the figure attached,
Triangle ACB is a right triangle having,
Leg AC = b = 13
Leg BC = a
Angle A = 76°
and, Hypotenuse AB = c
By applying tan rule in the given triangle,
tanA = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
tan(76)° = [tex]\frac{BC}{AB}[/tex]
= [tex]\frac{a}{b}[/tex]
4.01 = [tex]\frac{a}{13}[/tex]
a = 13 × 4.01
a = 52.13
a ≈ 52.1
Therefore, Option (D). will be the answer.
Answer:
52.1
Step-by-step explanation:
I need help please! If you know the answer can you explain?
Answer:
C.
Step-by-step explanation:
Take the equation for finding the volume of a sphere and plug in your radius
4π[tex]\frac{r^3}{3}[/tex] = V
your equation would plug in 7 for the r. Then simplify the rest of the equation.
Answer:
c
Step-by-step explanation:
I'm not sure but i hope this helps
a = -3, and c = 7. What is the value of b?
Answer:
6.235
Step-by-step explanation:
c²=a²+b² (pythagorean theory)
7²=-3²+b²
49=9+b²
(49-9). 40=b² (find the square root of 40 to obtain the value of b)
Which is the graph of y-3 =-{{+ 6)?
Answer:
[tex]y = - 3[/tex]
[tex]y = - 6 + 3 \\ y = - 3[/tex]
20 POINTS AND BRAINLIEST !! PLEASE ANSWER THIS QUESTION !!
Answer:
[tex](8m - 2)^{2}[/tex]
Step-by-step explanation:
Answer:
(8m -2) ^2
Step-by-step explanation:
64 m^2 - 32m +4
Recognizing that this is a perfect square trinomial (a^2 - 2ab + b^2) = (a-b)^2
(8m)^2 -2*8m*2 +2^2 = (8m -2) ^2
Choose an inequality that matches the graph.
x<3
x>3
x=3
x≤3
Answer:
x ≤ 3
Step-by-step explanation:
The equation of the solid line is x = 3
The shaded region to the left of x = 3 is less than 3 , thus
x ≤ 3 matches the graph
A building contractor estimates that her profit in dollars for a tall building will be given by the function:
P (h) = -4h2 + 160h,
where h represents the numer of floors in the buliding.
What height will give the maximum profit? What is the maximum profit?
Question to answer: What is the maximum profit?
profit is———
dollars
Answer:
The height is 20
The max profit is 1600
Step-by-step explanation:
P (h) = -4h^2 + 160h
The vertex is at
-b/2a = -160/2(-4) = 160/8 = 20
The height that will give the maximum profit is 20
We want to find the value at 20
P(40) =-4(20)^2 +160(20)
=-1600+3200
1600
When graphing y = 2x^2 + 35x + 75, which viewing window would allow you to see all of the intercepts and the minimum as
closely as possible?
Answer:
x-axis from -20 to 5; y-axis from -80 to 80
Step-by-step explanation:
The attached graph shows my choice for a viewing window. The closest approximation among your answer choices is ...
x: -20 to 5
y: -80 to 80 . . . . . choice A
x-axis from -20 to 5; y-axis from -80 to 80
Step-by-step explanation:
The attached graph shows my choice for a viewing window. The closest approximation among your answer choices is ...
x: -20 to 5
y: -80 to 80 . . . . . choice A
6.
A shop sells CDs and DVDs.
In one week the number of CDs sold and the number of DVDs sold were in the ratio 3:5
The total number of CDs and DVDs sold in the week was 728
Work out the number of CDs sold.
Answer:
273
Step-by-step explanation:
CD(3):DVD(5)
3+5=8
728 divided by 8= 91
3x91=273
Answer:
273
Step-by-step explanation:
CDs to DVDs is 3:5
[tex]\frac{728}{3+5}[/tex]
[tex]\frac{728}{8}=91[/tex]
[tex]3 \times 91: 5 \times 91[/tex]
[tex]273:455[/tex]
273 CDs were sold.
Solve log (x + 1) = –x2 + 10 by graphing. Which equations should be graphed?
y1 = –x2
y1 = –x2 + 10
y2 = log (x + 1)
Answer:
b. y1 = –x2 + 10
d. y2 = log (x + 1)
Step-by-step explanation:
edge 2023
Answer:
b,d and d for the second question
Step-by-step explanation:
What are the solutions of 3x²-x+7=0?
Answer:
The answer is A.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
[tex]3x^2-x+7=0[/tex]
Using the quadratic formula:
[tex]x=\dfrac{1\pm \sqrt{1-84}}{6}=\dfrac{1\pmi\sqrt{83}}{6}[/tex]
Therefore, the correct answer is A. Hope this helps!
Jennifer is flying her kite and I get stuck in a tree. She knows the string on her coat is 17 feet long and she is 7 feet from the tree. How high up in the tree is the kite (in feet)?
Answer:
15.5 feet
Step-by-step explanation:
Find attached to this answer the appropriate diagram.
We would be using the Pythagoras Theorem to solve this question
The formula is given as:
a² + b² = c²
Where a = opposite side
b = adjacent side
c = hypotenuse
From the question,
a = opposite side = unknown
b = adjacent side = 7 feet
c = hypotenuse = 17 feet
We are to find the opposite side
Using the formula
a² + b² = c²
a² = c² - b²
a² = 17 feet² - 7 feet ²
a² = 289 feet² - 49 feet²
a² = 240 feet²
a = √240 feet²
a = 15.491933385 feet
Approximately 15.5 feet
Therefore, the kite is 15.5 feet high up in the tree.
if x=3+2v2, find the value of x2 + 1/x2
Answer:
ES IGUAL A 1.03
Step-by-step explanation:
2x-8=4(x+1). Solve for X please!
Answer:
-6 = x
Step-by-step explanation:
2x-8=4(x+1)
Distribute
2x -8 = 4x+4
Subtract 2x
2x-8-2x = 4x-2x+4
-8 = 2x+4
Subtract 4
-8-4 = 2x+4-4
-12 = 2x
Divide by 2
-12/2 = 2x/2
-6 = x
Answer:
[tex]x = - 6[/tex]
Step-by-step explanation:
[tex]2x - 8 = 4(x + 1) \\ 2x - 8 = 4x + 4 \\ 2x - 4x = 8 + 4 \\ - 2x = 12 \\ \frac{ - 2x}{ - 2} = \frac{12}{ - 2} \\ x = - 6[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
"If A, then B" is the form of a
statement.
o
A. deductive
B. true
C. conditional
o
D. false
SUBMIT
Answer:
Step-by-step explanation:
If A then B is a conditional statement.
is this right? pls help asapppp
Answer:
yes thats correct
Step-by-step explanation:
Answer:
14.79
Step-by-step explanation:
Take the price of the dishes and multiply by the tax rate
232 * 6 3/8%
Change to decimal form
232 * .06375
14.79
The tax is 14.79
A cube has a volume of 1/512 cubic meter. Complete the explanation for finding the length of each side of the cube. Express your answers as simplified fractions when necessary
Answer:
1/8 meters
Step-by-step explanation:
The volume of a cube is given as the cube of the length of its sides. That is:
[tex]V = L^3[/tex]
where L = length of its side
The volume of the cube is 1/512 cubic metres.
This implies that:
[tex]\frac{1}{512} = L^3[/tex]
Find the cube root of both sides:
[tex]\sqrt[3]{\frac{1}{512} } = L\\\\=> L = \frac{1}{8}[/tex] meters
The cube has sides of length 1/8 meters
An object in the shape of a rectangular prism has a length of 5 inches, a width of 3 inches, and a height of 2 inches. The object's density is 8.3 grams per cubic centimeter. Find the mass of the object to the nearest gram.
Answer:
[tex]4,080grams[/tex]
Step-by-step explanation:
the formula for density is:
[tex]d=\frac{m}{V}[/tex]
where d is density, m is mass, and V is volume.
solving for m in the last equation:
[tex]m=d*V[/tex]
so if we find the volume and multiply it by the density [tex]d=8.3gr/cm^3[/tex] we will get the mass of the object.
The volume of a rectangular prism is given by:
[tex]V=l*w*h[/tex]
where [tex]l[/tex] is length, [tex]w[/tex] is width and [tex]h[/tex] is height:
[tex]l=5in\\w=3in\\h=2in[/tex]
we substitute to find the volume:
[tex]V=5in*3in*2in\\V=30in^3[/tex]
since the density has units of [tex]cm^3[/tex] we need the volume also in units of [tex]cm^3[/tex] , so we make the conversion using:
[tex]1in^3=16.3871cm^3[/tex]
multiplying by 30:
[tex]30in^3=491.612cm^3[/tex]
and now we find the mass with the equation:
[tex]m=d*V[/tex]
substituting d and V:
[tex]m=(8.3gr/cm^3)(491.612cm^2)\\m=4,080.36gr[/tex]
the nearest gram is: [tex]4,080grams[/tex]
Use the function f(x) = 2x3 - 3x2 + 7 to complete the exercises.
Answer:
what are the excersises
Step-by-step explanation:
Answer:
f(−1) = ✔ 2 f(1) = ✔ 6f (2) = ✔ 11
Step-by-step explanation:
Select the correct answer. What are the solutions to this quadratic equation?
A)x=4+sqrt 10
B)x=-2+4 sqrt 10
C)x=4+2 sqrt 10
D)x=-4+4 sqrt 10
Answer:
Let's solve your equation
[tex]x^2+13=8x+37[/tex]
Step 1: Subtract 8x+37 from both sides.
[tex]x^2+13-(8x+37)=8x+37-(8x+37)[/tex]
[tex]x^2-8x-24=0[/tex]
For this equation: a= 1, b= -8, c= -24
Step 2: Use quadratic formula with a=1, b=-8, c=-24.
[tex]x=\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex]
[tex]x=\frac{-(-8)+\sqrt{(-8)^2-4(1)(-24)} }{2(1)}[/tex]
[tex]x=\frac{8+\sqrt{160} }{2}[/tex]
[tex]x=4+2\sqrt{10}[/tex] or [tex]x=4-2\sqrt{10}[/tex] This is the answer
So,the correct option is C
I hope this help :)
Plz need help for a grade god explanation and answer get brainliest
Answer:
20%
Step-by-step explanation:
There is a 20% chance you get selected for researching China because 5 out of 25 spaces are ones for researching China.
[tex]\frac{5}{25} =\frac{20}{100}[/tex]
a ball with a mass of 6 kg moves at 3 m/s.what is its kinetic energy
Answer:
27
Step-by-step explanation:
Kinetic energy = [tex]\frac{1}{2} m*v^2[/tex]
m = 6
v = 3
3 * 9 = 27
KE = 0.5 m.v^2
= 0.5*6*3^2
=27J
Please help me!!!! I need to hand it in rn!!
Answer:
12
Step-by-step explanation:
[tex]no \: of \: side \: of \: polygon \\ = \frac{360 \degree}{ measure \: of \: exterior \: angle} \\ \\ = \frac{360 \degree}{ 30 \degree} \\ \\ = 12[/tex]
Triangle KLM represents a section of a park set aside for picnic tables. The picnic area will take up approximately 400 square yards in the park.
Triangle K L M is shown. The length of K M is 45 yards and the length of L M is 20 yards. Angle L K M is 25 degrees.
Trigonometric area formula: Area = One-half a b sine (C)
To the nearest yard, what amount of fencing is needed to surround the perimeter of the picnic area?
Answer:
107
Step-by-step explanation:
got it right... your welcome
Answer:
107
i took the review and examStep-by-step explanation:
Subtract 3x^2+7x-43x
2
+7x−43, x, squared, plus, 7, x, minus, 4 from 8x^2-6x+28x
2
−6x+28, x, squared, minus, 6, x, plus, 2.
Answer:
5x² - 13x + 71
Step-by-step explanation:
We are to subtract 3x²+7x-43 from 8x²-6x+28
That is:
8x² - 6x + 28 - (3x² + 7x - 43)
8x² - 6x + 28 - 3x² - 7x + 43
Collect like terms:
8x² - 3x² - 6x - 7x + 28 + 43
5x² - 13x + 71
Answer:
the answer 5x² - 13x + 6
Step-by-step explanation:
Time Remaining C.14:06
time 0:14:06
77%
The stem and leaf diagram shows the ages of 15 office workers.
2 3 5
Key: 23 represents 23 years old
3 4 5 8 8 9
4 1 2 4 6-7 8
5 39
a) How many workers are over 40 years old?
8
workers
b) What is the median age of an office worker?
years old
c) The oldest worker retires and is replaced by a 24 year old.
What is the new median age?
years old
Answer:
Step-by-step explanation:
a=8
b=41
c=39
sorry if im too late
