Answer:
option C
Step-by-step explanation:
Consider these functions:
Rx) = 5x^2 + 2
g(x) = x^2 - 1
What is the value of g(f(1))?
A.
2.
OB.
oa
C.
22
D.
48
Answer:
D
Step-by-step explanation:
F(1)=7
G(f(1)= g(7)= 49-1=48
Darcy gave her hairstylist a $ 4.90 The tip was 14% of the cost of the haircut . Write an equation to find b, the cost of the haircut.
Answer:
Equation: 4.90/b = 14/100
Solution: b = $35
Step-by-step explanation:
Variable b = cost of the haircut
Solve for b:
4.90/b = 14/100
490 = 14b
35 = b
Check your work:
35 × 0.14 = 4.90
Correct!
if 3x+15=93 what is the value of X
Answer:
26=x
Step-by-step explanation:
-15 from both sides
3x=78 /:3
x=26
Solve the equation 2x^2 + 3 – 41 = –15 to the nearest tenth.
Hellllpppp
9514 1404 393
Answer:
x = {-4.4, +2.9}
Step-by-step explanation:
We assume you want to solve ...
2x^2 +3x -41 = -15
Adding 41 and factoring out the leading coefficient gives ...
2(x^2 +3/2x) = 26
Dividing by 2 makes it ...
x^2 +3/2x = 13
We can add the square of half the x-coefficient to "complete the square."
x^2 +3/2x +(3/4)^2 = 13 +(3/4)^2
(x +3/4)^2 = 13.5625 . . . . write the left side as a square
x +3/4 = ±√13.5625 . . . . . take the square root
x = -0.75 ±3.683 = {-4.433, +2.933} . . . . subtract 3/4 and evaluate
The solutions are approximately x = -4.4 and x = 2.9.
What is the volume of sphere with radius 13 ft?
Answer:
[tex]\displaystyle V = \frac{8788 \pi}{3} \ ft^3[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Sphere Formula: [tex]\displaystyle V = \frac{4 \pi}{3}r^3[/tex]
r is radiusStep-by-step explanation:
Step 1: Define
Identify variables
r = 13 ft
Step 2: Find Volume
Substitute in variables [Volume of a Sphere Formula]: [tex]\displaystyle V = \frac{4 \pi}{3}(13 \ ft)^3[/tex]Evaluate exponents: [tex]\displaystyle V = \frac{4 \pi}{3}(2197 \ ft^3)[/tex]Multiply: [tex]\displaystyle V = \frac{8788 \pi}{3} \ ft^3[/tex]Answer:
The volume of this sphere is equal to [tex]2929\frac{1}{3} \pi ft^{3}[/tex]
Step-by-step explanation:
In order to solve this question, we need to know the formula for the volume of a sphere which is...
[tex]V = \frac{4}{3}\pi r^{3}[/tex] ("V" is the volume of the sphere, and "r" is the radius of the sphere)
Now we have to substitute the values that we already know into the formula, and we will get that...
[tex]V = \frac{4}{3}\pi r^{3}\\\\V = \frac{4}{3} \pi (13ft)^{3} \\\\V = \frac{4}{3} \pi (2,197ft^{3} )\\\\V = 2,929\frac{1}{3} \pi ft^{3}[/tex]
Therefore, the volume of this sphere is equal to [tex]2929\frac{1}{3} \pi ft^{3}[/tex]
Which of the following represents the solution to the inequality 215-2xl-3315?
O (-60,-2) (7.00)
O (-0,1.5) (7.5.00)
O 1-2, 7]
O [1.5, 7.5]
9514 1404 393
Answer:
(c) [-2, 7]
Step-by-step explanation:
We can solve the inequality for an expression in x.
2|5 -2x| -3 ≤ 15
2|5 -2x| ≤ 18 . . . . . . add 3
|5 -2x| ≤ 9 . . . . . . . . divide by 2
We prefer a positive coefficient of x, so we'll multiply inside the absolute value by -1. This does not change the absolute value. (|-1| = |1|, for example)
|2x -5| ≤ 9
Now, we can "unfold" this to get the compound inequality ...
-9 ≤ 2x -5 ≤ 9
-4 ≤ 2x ≤ 14 . . . . . add 5
-2 ≤ x ≤ 7 . . . . . . . divide by 2
The solution interval is [-2, 7].
__
The graph shows the equation of the given form f(x) ≤ c converted to the form f(x)-c ≤ 0. The graphing calculator highlights x-intercepts easily, so we take advantage of that to show the solution interval bounds. The graph is less than zero between the bounds.
In a class of 30 pupils the ratio of left-handed pupils to right-handed pupils is 1:9.
How many pupils are right-handed?
Step-by-step explanation:
Pupils are right-handed: 30:10x9=27
a country’s population in 1990 was 123 million in 2002 it was 128 million
Answer:
whats the question
Step-by-step explanation:
Karen purchased 3 gallons of yellow paint and 4 gallons on blue paint from the hardware store. The total cost was $105. Yellow
paint and blue paint sell for the same price per gallon. Which THREE statements are correct?
Answer:
In order to answer this properly, I would need to see the choices. However, I can tell you that:
-Each gallon of paint cost $15
-Karen spent $45 on yellow paint
-Karen spent $60 on blue paint
Step-by-step explanation:
Karen bought a total of 7 cans of paint, all the same price.
105/7=15.
15*3=45 (yellow paint)
15*3=60 (blue paint)
Hope this helps.
please helpppp!!! it’s timed!!!! thank u for helping!!!!!
Answer:
Segment EH or segment EG
Step-by-step explanation:
A tangent segment is a segment that has one of its endpoints perpendicular to the radius of a circle. The point where the one endpoint of the tangent segment and the radius meet is the point of tangency.
Segment EH and segment EG are both tangent segments to the circle with center Q.
Any of the two is the answer
Someone help me on this percent question
Answer: 6%
Hope it helps :)
Step-by-step explanation:
Price of mixer = 45.00$
Price of mixer with tax = 47.70
Tax added to the price of mixer = 45 - 47.70
= 2.70$
Percentage of Tax added to the price of mixer
= 2.70 = P multiplied by 45
(divide 2.70 by 45 and 45 by 45 as well)
= 0.06 = P
(we have to now convert the decimal to a percentage)
= 0.06 multiplied by 100 = P
6% = P
r negative 7 divided by s negative 1
Unfortunately that's an impossible question because we have no idea what the variable is. Sorry buddy. You're on ur own there
Antiderivative of Acceleration is???
Answer:
Since acceleration is the derivative of velocity, velocity is the antiderivative of acceleration. If you know the acceleration for all time, and if you know the starting velocity, you can figure out the velocity for all time.
Step-by-step explanation:
Answer:
Since acceleration is the derivative of velocity, velocity is the antiderivative of acceleration. If you know the acceleration for all time, and if you know the starting velocity, you can figure out the velocity for all time.
Receipt-of-goods discounts tend to be offered in cases where?
2 divide by 7/6
pls help
Answer:
7/6 ÷ 2 = 7/12 in fraction form.
7/6 ÷ 2 = 0.5833 in decimal form
Step-by-step explanation:
6 divided by 7 equals 6/7 or 0.86
Phân biệt giá cấp 2 được áp dụng đối với
Second-degree price discrimination occurs when a company charges a different price for different quantities consumed, such as quantity discounts on bulk purchases.
mark me brainliestt :))
7. You are mixing some concrete for a home project, and you've calculated according to the
directions that you need six gallons of water for your mix. But your bucket isn't calibrated, so you
don't know how much it holds. On the other hand, you just finished a two-liter bottle of soda. If you
use the bottle to measure your water, how many times will you need to fill it?
Answer:
11.4 bottles for US gal.
13.6 bottles for Imperial gal.
Step-by-step explanation:
1 US gallon = 3.8 L
6 US Gallons = 6*3.8 L = 22.8 L = 11.4 bottles
1 Imperial gallon = 4.54 L
6 Imperial gallons = 6*4.54 L = 27.24 L = 13.6 bottles.
8 necklace have 864 beads in all how many beads will 15 such necklace have?
Due to the heavy rains, all pallets of blocks have become wet and the weight of each block has altered. It is desired to estimate the average weight of the blocks thus wet. For this, a sample of 15 blocks is selected and the following weights are recorded in kilograms: 45.8, 43.9, 46.2, 48.5, 47.2, 45.8, 49.1, 43.9, 47.6, 42.8, 46.5, 44.9, 46.8, 45.8 and 44.6; Estimate µ, the average weight of all pallets of blocks, and determine a bound for the estimation error.
Answer:
To find the estimated value we add all of them together then divide it by the amount of them
45.8+43.9+46.2+48.5+47.2+45.8+49.1+43.9+47.6+42.8+46.5+44.9+46.8+45.8 +44.6=689.4
now we divide it by 15 since there is 15 blocks so
689.4 divided by 15=45.96
so the average weight is 45.96
C. Directions: Complete the table ( Area of a Circle).
Radius Diameter Area
16. _____ 7.5cm _______
17. 10cm _______ _______
18. 21cm ________ _______
pasagot po plss bukas na po pasahan ko
Answer:
3.75cm 44.16cm²
20cm 314cm²
42cm 1384.74cm²
Step-by-step explanation:
Area of a circle = πr²
Where : = π = pi = 3.14
R = radius
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
16. Radius = 7.5 / 2 = 3.75
Area = 3.14 x 3.75² = 44.16
17. Diameter = 10 x 2 = 20
Area = 10² x 3.14 = 314
18. Diameter = 21 x 2 = 42
Area = 21² x 3.14 = 1384.74
If f(x) = 6x + 2 and g(x) = 4x - 5, find f(x) - g(x).
A. 2x - 7
B. 2x + 7
C. 10x - 3
D. 10x + 7
Answer: D
Step-by-step explanation:
set the functions to subtract
if p(a) contain 8 elements then set a contain which element
Answer:
3 elements
because 2^3=8
Answer:
3 elements
because 2^3=8
Step-by-step explanation:
Elena receives $131 per year in simple interest from three investments totaling $3000. Part is invested at 3%, part at 4% and part at 5%. There is $1000 more invested at 5% than at 4%. Find the amount invested at each rate.
The amount invested at 3% is $___ the amount invested at 4% is $___ , and the amount invested at 5% is $___
Answer:
Elena invested $ 1,700 at 5%, $ 700 at 4%, and $ 600 at 3%.
Step-by-step explanation:
Given that Elena receives $ 131 per year in simple interest from three investments totaling $ 3000, and part is invested at 3%, part at 4% and part at 5%, and there is $ 1000 more invested at 5% than at 4%, to find the amount invested at each rate, the following calculations must be performed:
1500 x 0.05 + 500 x 0.04 + 1000 x 0.03 = 75 + 20 + 30 = 125
1600 x 0.05 + 600 x 0.04 + 800 x 0.03 = 80 + 24 + 24 = 128
1700 x 0.05 + 700 x 0.04 + 600 x 0.03 = 85 + 28 + 18 = 131
Therefore, Elena invested $ 1,700 at 5%, $ 700 at 4%, and $ 600 at 3%
pls help asap!!!!!!!!
Answer:
It is possible, because the two shortest sides have to add up to be more than the longest side, and 8 + 12 = 20, which is more than the longest side of 17.
So yes, I agree with Bear.
A workbench for a motorcycle is in the shape of parallelogram IJKL. The motorcycle is
raised and lowered as the angles of the parallelogram change. Which statement is
correct?
ZJ and ZL are supplementary
ZJ and ZK are congruent.
65° K
ZJ and ZK are supplementary
ZI and ZL are congruent.
Answer:
J and K are supplementary
Step-by-step explanation:
Given
The attached image
Required
The true statement
From the attached image, it is hard to determine the values of angles I and L as there are no enough information to determine their values.
However, J and K can be worked easily.
From the image
[tex]J = 65^o[/tex] --- vertically opposite angles
And:
[tex]K + 65^o = 180^o[/tex] ---- angle on a straight line
Substitute: [tex]J = 65^o[/tex]
[tex]K + J = 180^o[/tex]
When two angles add up to 180, the angles are supplementary.
Hence, (c) is correct
The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 34 hours and the median is 30.2 hours. Twenty-four of the families in the sample turned on the television for 19 hours or less for the week. The 8th percentile of the data is 19 hours. Step 4 of 5 : What is the value of the 50th percentile
Answer: The value of the 50th percentile is 30.2 hours.
Step-by-step explanation:
We are given:
Mean of the data watching television by 24 families = 34 hours
Median of the data watching television by 24 families = 30.2 hours
8th percentile of the data = 19 hours
The median of data is the value that divides the data into two equal halves.
This means that the median will represent the 50th percentile of data.
Thus, the value of the 50th percentile is 30.2 hours.
PLS HELP! I NEED TO FIND THE SURFACE AREA OF THIS CYLINDER!
PLS PROVIDE A STEP BY STEP EXPLANATION! ❤️
Exact Surface Area = 378pi
Approximate Surface Area = 1186.92
The approximate surface area uses pi = 3.14
The units are cm^2 or "square cm".
=========================================================
Work Shown:
SA = surface area of cylinder
SA = 2*pi*r^2 + 2*pi*r*h
SA = 2*pi*7^2 + 2*pi*7*20
SA = 2*pi*49 + 2*pi*140
SA = 2*49*pi + 2*140*pi
SA = 98pi + 280pi
SA = 378pi ..... exact surface area
SA = 378*3.14
SA = 1186.92 ..... approximate surface area
----------
Side note: The diameter 14 cuts in half to get the radius r = 7
Answer:
1187.52
Step-by-step explanation:
Use the formula [tex]2\pi rh+2\pi r^{2}[/tex].
r= 7 (half of your diameter, which is 14)
h = 20
Fill in your radius and height.
[tex]2\pi (7)(20)+2\pi (7^{2})[/tex]
Enter your equation into a calculator and you'll get 1187.52202.
When rounded to the nearest hundredths, you get 1187.52
3x-1= 7x+5
A: -0.6 C: 1.5
B: -1.5 D: 0.6
Answer:
x = -1.5
Step-by-step explanation:
3x-1= 7x+5
Subtract 3x from each side
3x-3x-1= 7x-3x+5
-1 = 4x+5
Subtract 5 from each side
-1-5 = 4x+5-5
-6 = 4x
Divide by 4
-6/4 = 4x/4
-3/2 =x
x = -1.5
Given 5 straight lines and 4 triangles in a plane. What is the maximum number of times that these lines
can cut the sides of these triangles?
\A and \B are supplementary angles. If m\A= (3x – 23) and m
\B = (2x – 12), then find the measure of \B.
2 supplementary angles when added together need to equal 180 degrees.
Add:
3x-23 + 2x-12 = 180
Simplify:
5x -35 = 180
Add 35 to both sides:
5x = 215
Divide both sides by 5:
X = 43
Now replace x with 43 in the equation for angle b:
2(43) -12 = 86-12 = 74 degrees
Angle B = 74 degrees