Answer:
(C)81
Step-by-step explanation:
Total Number of Students =300
Percentage who had cats, n(C) = 40%
Percentage who had both cats and dogs , [tex]n(C \cap D)[/tex] = 12%
Percentage who had neither cats nor dogs, [tex]n(C \cup D)'[/tex] =45%
Now:
Universal Set, [tex]U = n(C)+n(D)-n(C \cap D)+n(C \cup D)'[/tex]
[tex]100 = 40 + n(D)-12+45\\n(D)=100-73\\$Percentage of those who own dogs =27\%[/tex]
Therefore:
Number of Students who had dogs
=27% of 300
=81
What is the value of 4³÷ 2³ ?
Answer:
2^3 or 8
Step-by-step explanation:
[tex]4^3\div 2^3= \\\\(2^2)^3\div 2^3= \\\\2^{2\cdot 3}\div 2^3= \\\\2^6\div 2^3=\\\\2^{6-3}=\\\\2^3=\\\\8[/tex]
Hope this helps!
Answer:
8
Step-by-step explanation:
subtract because it is division
2³
=2x2x2
=8
hope it helps- can u pls mark as brainliest?
Can someone help me please?
Answer:
8 degrees
Step-by-step explanation:
Hope this helps!
Answer:
8 Degrees
Have a nice day!
Which graph represents the function h(x) = [X1 +0.5?
12
V
2
1
2
-2
Answer:
Actually, if you graph it the correct answer is the third option, not the first
Trust me I got 100%
A store uses the expression -2p+ 50 to model the number of backpacks it sells per day, where the price, p, can be anywhere
from $9 to $15. Which price gives the store the maximum amount of revenue, and what is the maximum revenue? (Revenue =
price x number of backpacks.)
$9.00 per backpack gives the maximum revenue; the maximum revenue is $32.00.
$12.00 per backpack gives the maximum revenue; the maximum revenue is $312.00.
$12.50 per backpack gives the maximum revenue; the maximum revenue is $312.50.
$15.00 per backpack gives the maximum revenue; the maximum revenue is $20.00.
Answer:
B: $12.00 per backpack gives the maximum revenue; the maximum revenue is $312.00.
Step-by-step explanation:
Answer:
first dude is right :)
Step-by-step explanation:
CAN SOMEONE PLEASE HELP The Ecology Club was planning to take a field trip either to the seacoast or the mountains. The club president surveyed all of the members to determine the preferred trip. The results are displayed in the table below. Which statement is true about the results of the survey? *
20% of eighth-grade students preferred the seacoast
32% of seventh-grade students preferred the mountains
40% of students preferred the mountains
48% of students preferred the seacoast
Answer:
The true statement about the results of the survey is:
48% of students preferred the seacoast.Step-by-step explanation:
To identify if the D option is right, you only must use a simple rule of three, where you use the total of the members surveyed in the club (150), and the number of members that preferred the seacoast (72), by the last the operation must confirm that this value (72) is equal to the 48% (how says in the D option). First, you must establish the rule of three:
150 = 100 (100% of surveyed really, but is easier to understand in this form) 72 = XAnd operate:
X= (72 * 100) / 150 X = 48 (this means the 48%)How you can see, the value obtained in the simple rule of three is exactly the percentage of the D option, for this reason, this is the true statement.
Melanie makes $3.00 less per hour babysitting than her best friend, Carita. If the combined hourly rate of Melanie and Carita is $15.00, how much does Melanie make per hour? A. $3.00 B. $6.00 C. $9.00 D. $12.00
Answer:
B 6.00
Step-by-step explanation:
M= 6$
C= 9$
M+C= 6+9= 15$ per hour
You borrow $1,000 on a simple interest loan. You pay an annual rate of 3.5%. You will
take 3 years to pay back the loan. How much interest will you pay?
$1,000
interest
0% 3.5%
100%
CHECK
$
Answer:
The amount of interest to be paid is $105
Step-by-step explanation:
To find how much interest that will be paid, we will follow the steps below;
Simple Interest = PRT / 100
where p is the principal, R is the rate and T is the time in years
from the question given
principal P = $1000
Rate R = 3.5
and time T = 3
substitute the values into the formula above
Interest = $1000×3.5×3 / 100
=$10×3.5×3
=$105
Interest = $105
The amount of interest to be paid is $105
Answer: no sense
Step-by-step explanation:
After plotting the data where x=area, and f(x)=the length of one side of the square, Sam determined the appropriate model to approximate the side of a square was *square root sign*x+2-1 Use the model Sam created to predict the side length of the square when the area is 14.
3
9
16
28
Answer:
3
Step-by-step explanation:
Plugging 14 into the given model equation, you get:
[tex]\sqrt{14+2}-1= \\\\\sqrt{16}-1=\\\\4-1=\\\\3[/tex]
Hope this helps!
Answer:
The answer is 3
Step-by-step explanation:
What is the distance from
23, 5) to (33, -12)
Answer: 19.723083
Step-by-step explanation:
If f(x) = 3x - 2 and g(x) = 2x + 1, find (f+ g(x).
O A. 5x-3
O B. x-1
O c. x-3
O D. 5x-1
SUBMIT
Plzzz helpp
Answer:
5x-1
Step-by-step explanation:
f(x) = 3x - 2
g(x) = 2x + 1
f(x) + g(x) = 3x-2 +2x+1
Combine like terms
= 5x-1
Answer:
(f+g)(x)=5x-1
Step-by-step explanation:
To find (f+g)(x), add f(x) and g(x)
f(x)+g(x)
We know that f(x) is equal to 3x-2 and g(x) equals 2x+1.
f(x)=3x-2
g(x)=2x+1
(3x-2)+ (2x+1)
Combine like terms. Add all the terms with a variable, then all the terms without a variable
(3x+2x)+(-2+1)
5x+(-2+1)
5x-1
(f+g)(x)=5x-1
Question 1
What is the measure of x?
Answer:
110
Step-by-step explanation:
What's the center of the circle with the equation
(x−9)^2+(x+16)^2=25?
(9,−16)
(−9,16)
(3,−4)
(−3,4)
Answer:
Center = (9, -16)
Step-by-step explanation:
So you already have the center in the equation.
The base form is [tex](x-h)^2+(y-k)^2=r^2[/tex]
(h, k) = center.
Center = (9, -16)
A system of equations has 1 solution. If 4x - y = 5 is one of the equations, which could be the other equation?
O y=-4x + 5
O y = 4x-5
O 2y = 8x - 10
0 -2y = -8x - 10
Answer:
y = -4x+5
Step-by-step explanation:
I graphed the given equation on the graph below and graphed the choices with it. Only one choice had one solution with the given equation. This equation is y = -4x+5
Answer:
O y=-4x + 5
Step-by-step explanation:
I graphed "4x - y = 5" and the other options using a graphing tool. After graphing, we can see:
"4x - y = 5" and " -2y = -8x - 10" has no solution. The lines are parallel.
"y = 4x-5" and "2y = 8x - 10" overlap over "4x - y = 5". They have an infinite number of solutions.
"y=-4x + 5" and "4x - y = 5" cross at point (1.25, 0). This means that they have one solution.
"y=-4x + 5" should be the correct answer.
Find the volume of a cone with the diameter of 40, and a height of 12.
(Hint: the volume of a cone is 1/3*b*h where the "b" is the area of the
base of the cone or a circle). DO NOT ROUND!!!!! USE 3.14 for P1!!! *
Answer:
Step-by-step explanation:
If the two angles are complementary, find the measure of each of angle.
Answer:
Step-by-step explanation:
If two angles are complementary, the sum of measures of two angles is 90
Using this, you can find the angles
Answer:
Two Angles (A and B) are Complementary when they add up to 90 degrees (a Right Angle). They don't have to be next to each other, just so long as the total is 90 degrees. This is:
A + B = 180
so
A=180 - B or
B=180-A
Examples:
• 60° and 30° are complementary angles.
• 5° and 85° are complementary angles.
Evaluate q^2-5q+4, when q equals -2
Answer:
18
Step-by-step explanation:
q^2 - 5q +4
Let q = -2
(-2)^2 - 5(-2) +4
4 + 10 +4
18
10=|m+2| solve the equation
Answer:
8 = m -12 =m
Step-by-step explanation:
10=|m+2|
There are two solutions to the absolute value equation, one positive and one negative
10 = m+2 -10 = m+2
Subtract 2 from each side
10-2 = m+2-2 -10-2 = m+2-2
8 = m -12 =m
Answer:
8, -12
Step-by-step explanation:
use a online calculator
PLEASE HELP ME OUT PLEASE PLEASE IT WOULD BE HELPFUL THANK YOU
Answer:
D
Step-by-step explanation:
Starts with 2
2 x 2 = 4
4 x 2 = 8
8 x 2 = 16
and so on
Find the sum of the first 31 terms of the following series, to the nearest integer. 5 , 14 , 23 , . . .
Answer:
Step-by-step explanation:
a1 = 5
common difference = 2nd term - 1st term= 14 -5 = 9
n = 31
[tex]S_{n}=\frac{n}{2}[2a+(n-1)d]\\\\S_{31}=\frac{31}{2}[2*5+30*9]\\\\=\frac{31}{2}[10+270]\\\\=\frac{31}{2}*280\\\\=31*140\\\\=4340[/tex]
Answer:
i took the tests and the answer is d
Zoe is making a quilt using 15 red squares and 30 green squares. Which combination shows the same ratio of red squares to green squares?
Answer:
A
Step-by-step explanation: Well 15:30 I would think is just 1:2 so looking for another ratio like that there's only one other answer. 3:6 15 is half of 30 and 3 is half of 6.
Answer:
A. 3 red squares to 6 green squares.
Step-by-step explanation:
We have 15 red squares for 30 green squares. The ratio is:
[tex]$\frac{15}{30} $[/tex]
Actually anything that is equivalent to the ratio [tex]$\frac{15}{30} $[/tex] would be the answer. Besides [tex]$\frac{3}{6}$[/tex] , other examples:
[tex]$\frac{1}{2} $[/tex]
[tex]$\frac{5}{10} $[/tex]
question in attachment
Answer:
[tex]cos(x)=-\frac{\sqrt{3} }{2}[/tex]
[tex]sin(x)=\frac{1}{2}[/tex]
[tex]tan(x)=-\frac{1}{\sqrt{3} }[/tex]
[tex]csc(x)=2[/tex]
[tex]sec(x)=-\frac{2}{\sqrt{3}}[/tex]
[tex]cot(x)=-\sqrt{3}[/tex]
Step-by-step explanation:
(I'll just use x for ease of writing)
We have the trig equation [tex]cos(x)=-\frac{\sqrt{3} }{2}[/tex], and we know that its terminal side is in the 2nd quadrant. By using a unit circle, we can determine that the angle is [tex]\frac{5\pi}{6}[/tex] which has an ordered pair of [tex](-\frac{\sqrt{3} }{2},\frac{1}{2} )[/tex]
[tex]sin(x)=y[/tex], so [tex]sin(x)=\frac{1}{2}[/tex]
[tex]tan(x)=\frac{y}{x}[/tex], so [tex]tan(x)=\frac{\frac{1}{2} }{-\frac{\sqrt{3} }{2} }=-\frac{1}{\sqrt{3} }[/tex]
Now that we have sin, cos, and tan, we can just take the reciprocal of each of these to get our answers for csc, sec, and cot.
[tex]csc(x)=\frac{1}{sin(x)}[/tex], so [tex]csc(x)=2[/tex]
[tex]sec(x)=\frac{1}{cos(x)}[/tex], so [tex]sec(x)=-\frac{2}{\sqrt{3}}[/tex]
[tex]cot(x)=\frac{1}{tan(x)}[/tex], so [tex]cot(x)=-\sqrt{3}[/tex]
Step-by-step explanation:
What is 3 to the tenth power
Answer: 59049
Step-by-step explanation: 3 to the power of 10 = 310 = 59049.
( I hope this helped <3 )
The number 3 raised to the power of 10 (that is [tex]3^{10[/tex]) is calculated as: 59,049.
How to find the tenth power of a number?The step-by-step calculation for 3 to the tenth power ([tex]3^{10[/tex]) is shown and explained below:
Start with the base number, which is 3.
Multiply the base number by itself to the power of 1:
[tex]3^1[/tex] = 3
Continue multiplying the result by the base number for each subsequent power:
3² = 3 × 3 = 9
3³ = 3 × 3 × 3 = 27
[tex]3^4[/tex] = 3 × 3 × 3 × 3 = 81
[tex]3^5[/tex] = 3 × 3 × 3 × 3 × 3 = 243
[tex]3^6[/tex] = 3 × 3 × 3 × 3 × 3 × 3 = 729
[tex]3^7[/tex] = 3 × 3 × 3 × 3 × 3 × 3 × 3 = 2,187
[tex]3^8[/tex] = 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 = 6,561
[tex]3^9[/tex] = 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 = 19,683
[tex]3^{10[/tex] = 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 = 59,049
Therefore, 3 raised to the power of 10 is equal to 59,049.
Learn more about powers on:
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Line parallel to y-1=4(x+3) and passes through (4,32)
Answer:
y - 32 = 4(x - 4)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y - 1 = 4(x + 3) ← is in point- slope form
with slope m = 4
Parallel lines have equal slopes.
Using m = 4 and (a, b) = (4, 32), then
y - 32 = 4(x - 4) ← equation of parallel line
what is 12000 mutiplyed by 180000
Answer:
The Answer is 2160000000
Answer:2160000000
Step-by-step explanation:
Help I need help on this it can be more than one
Answer:
same it is pretty blury unblur it
Step-by-step explanation:
Given the graphed function below, which of the following ordered pairs are
found on the inverse function?
10
8
6
4
-6-7 6 4 4 -3 -2 -1 0
2 3 4 5 6
-4
-8
-
A. (-10,-2), (-3,-1), (-2, 0),(-1, 1), (6,2)
O B. (2, 10), (1,3), (0, 2), (-1,1),(-2,-6)
O C. (10,2), (3, 1), (2.0), (1,-1).(-6, -2)
O D. (-2, 10),(-1,3), (0,2), (1, 1), (2.-6)
Answer:
A
Step-by-step explanation:
took it on ap ex
The correct ordered pairs which are found on the inverse function are,
⇒ (-10, -2), (-3, -1), (-2, 0),(-1, 1), (6, 2)
What is mean by Coordinates?A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
We have to given that;
The graphed function are shown in figure.
Now, All the points on the graph are,
⇒ (- 2, - 10) , (- 1, - 3) , (0, - 2) , (1, - 1) , (2, 6)
Hence, The correct ordered pairs which are found on the inverse function are,
⇒ (-10, -2), (-3, -1), (-2, 0),(-1, 1), (6, 2)
Thus, ''Option A'' is true.
Learn more about the coordinate visit:
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PLEASE HELP! SEE ATTACHMENT
it's algebra graphing
Answer:
a- g(x)= 4/5 x -3
b- slope is 4/5
c- vertical intercept is y= -3 when x=0
Step-by-step explanation:
Vertical compression : 4/5 f(x)
shift left you add f(x) +1
shift down you subtract : f(x)-1
the result is g(x) = 4/5 f(x) +1-4
In the following arithmetic number pattern: 5,9,13,17... what is the 100th term?
Answer the question below
Answer:There are 96 apples in the 12th bag.
Step-by-step explanation:
Firstly, you add the number of apples in the 11 bags.
6+28+16+27+10=87
If the mean number of apples in the 12 bags were 8, the total number of apples are 96.
Using this info, we subtract 87 from 96 to 9.
Hence, there are 9 apples in the 12th bag.
A figure in the first quadrant is rotated 180° counterclockwise about the origin. In which quadrant will the rotated figure appear?
Answer:
It will be in the 3rd quadrant.
Step-by-step explanation:
Hope that helps!
Answer:
The rotated figure appears in the 3rd quadrant
Step-by-step explanation:
To visualize a problem can sometimes be challenging.
It usually helps to make a sketch of the situation, to get a "feel" it of what is happening.
Supose a little cube is placed on the x axis, in quadrant 1, starting at ( 1. 0), and with size 1 unit.
Corner coordinates are therefore:
A =( 1, 0)
B =( 2, 0)
C =( 2, 1)
D =( 1, 1)
Rotate for 180 degrees about the origen (EXTRA: a ounterclockwise rotation over 180° is exactly the same as a clockwise rotation over 180°).
The new coordinates are:
A' =(-1, 0)
B' =(-2, 0)
C' =(-2 -1)
D' =(-1, -1)
These are all in third quadrant.
Therefore, the rotated figure appears in the 3rd quadrant
