Amy purchased 17 pencils and 18 pens for a fund-raiser at school and spent $61.50. Jocelyn purchased 10 pencils and 21 pens and spent $57. How much does each pencil cost?
Using a calculator and the formula above, calculate the APR. Choose the correct answer.
Betty Buyer has a short term note at 16% interest per year.
To the nearest tenth, APR =
15.9
17.2
16.6
%.
Which set of numbers can represent the side lengths, in centimeters, of a right triangle?
Answer:
Any set of numbers that fit in Pythagoras theorem will represent that set.
Step-by-step explanation:
Though options are not given, but there is a standard way to get such combinations of number.
As it is a right triangle, we have to work on Pythagoras theorem.
The sum of squares of two other sides is equal to square of the hypotenuse.
Like : [tex]3^{2} +4^{2} =5^{2}[/tex]
A 12 foot rope is cut into two pieces so that one piece is 3 feet less than twice the length of the other piece. how long is each piece?
12 feet long
1st piece = x
2nd piece = 2x-3
3x-3 =12
3x=15
x = 5
1st piece = 5 feet
2nd piece = 2*5=10-3=7 feet
(4.4*10^6)*(3.9*10^4)
Scientific notation please help and explain
What rank of the marine corps do you get the stripe on your pants?
Answer:
cpl and above. E-4 and above.
Step-by-step explanation:
What is the area of the trapezoid?
which of the following represents the zeros of the function f(x) = 4x3 -13x2 -37x +10
Complete the statements about the key features of the graph of f(x) = x5 – 9x3. As x goes to negative infinity, f(x) goes to negative infinity, and as x goes to positive infinity, f(x) goes to positive infinity.
Choose all of the zeroes of f(x).
–3 with multiplicity 1
3 with multiplicity 1
0 with multiplicity 1
0 with multiplicity 3
3 with multiplicity 0
The end behavior of f(x) has the same end behavior of [tex]x^3[/tex] and all the zeroes of f(x) wiil be: -3 with multiplicity 1, 3 with multiplicity 1, 0 with multiplicity 3.
Given :
[tex]f(x) = x^5-9x^3[/tex] --- (1)
The value of x at which f(x) becomes zero can be determine by eqaution the equation (1) to zero.
[tex]x^5-9x^3=0[/tex]
[tex]x^3(x^2-9)=0[/tex]
[tex]x^3(x-3)(x+3)=0[/tex]
Therefore, all the zeroes of f(x) will be:
-3 with multiplicity 1,
3 with multiplicity 1,
0 with multiplicity 3.
The end behavior of f(x) has the same end behavior of [tex]x^3[/tex]. As x goes to negative infinity, f(x) goes to negative infinity, and as x goes to positive infinity, f(x) goes to positive infinity.The graph of f(x) is attached below.
For more information, refer the link given below:
https://brainly.com/question/24153248
A cricket ball is dropped into a cylindrical tank of water.
The ball sinks to the bottom of the tank.
The diameter of the cricket ball is 7.2 cm
The diameter of the cylindrical tank is 15 cm
Calculate the increase in height of the water in the tank.
Find the difference.
Correct and best explained answer gets brainliest.
9-5 =4
-4 +7=3
-1-6 =-7
so 4x^3+3x^2-7
A is the correct answer
How much money will be in a bank account after 9 years if $7 is deposited at an interest rate of 5% compounded annually?
The table shows the outputs, y, for different inputs, x: Input (x) 2 5 9 12 Output (y) 20 15 12 8 Part A: Do the data in this table represent a function? Justify your answer. (3 points) Part B: Compare the data in the table with the relation f(x) = 5x + 14. Which relation has a greater value when x = 9? (2 points) Part C: Using the relation in Part B, what is the value of x if f(x) = 64? (5 points)
Answer:
D 17 2/9
Step-by-step explanation:
Find the range of the data. Scores: 81, 79, 80, 88, 72, 96, 86, 73, 79, 88 A) 22
B)24
C)28
D)23
Answer:
Option B - 24
Step-by-step explanation:
Given : Scores: 81, 79, 80, 88, 72, 96, 86, 73, 79, 88
To find : The range of the data?
Solution :
Range is defined as the difference between the smallest and the largest element of the data.
First we arrange the data into ascending order:
72,73,79,79,80,81,86,88,88,96
The smallest number is 72
The largest number is 96
The range of the data = largest number - smallest number
The range of the data = 96 - 72
The range of the data = 24
Therefore, Option B is correct.
Find the least common multiple of 8c4 and 6c2 .
Solve the following system of equations algebraically. 2x = 5y + 8. 3x + 2y = 31
What is the area of a regular pentagon with an apothem of 14 inches long and a side 20 inches long?
Answer:
[tex]\text{Area of regular pentagon is }700 inches^2[/tex]
Step-by-step explanation:
Given that a regular pentagon with an apothem of 14 inches and a side of 20 inches.
we have to find the area of pentagon.
Apothem=a=14 inches
Side of pentagon= 20 inches
[tex]Perimeter=s=20\times 5=100 inches[/tex]
[tex]\text{Area of regular pentagon=}\frac{1}[2}\times perimeter \times apothem[/tex]
[tex]=\frac{1}{2}\times 100\times 14=700inches^2[/tex]
[tex]\text{Area of regular pentagon is }700 inches^2[/tex]
Answer:700in
Step-by-step explanation:
May I pretty please have some math help?
Marcus loves baseball and wants to create a home plate for his house. Marcus needs to calculate the area of the home plate at the ball field so he can reconstruct it when he gets home. Calculate the area of the polygon.
50 in2
59 in2
85 in2
90 in2
Identify the domain of the exponential function shown in the following graph: y=10x
Help plz.. Evaluate this expression: -(-(-(-1)))?
Thanks.
Given: AC is the hypotenuse and BD is the altitude of △ABC. AD=27, CD=40, AB=e, BD=j, and BC=h
Find the value of e
How the literal devil am i supposed to do this, legit i've tried for hours first answer gets Brainliest
Is -1/2 rational or irrational
In the above figure, find the measure of angle AEB + the measure of angle CED.
A. 75
B. 93
C. 112
D. 140
The adams family is remodeling their family room. the room measures 14 feet by 20 feet, and the contractor wants $35 per square foot to remodel it. how much will it cost to remodel?
Answer:
It would cost $9800 to remodel the room.
Step-by-step explanation:
The Adams family is remodeling their family room.
Length of the room = 20 feet
Width of the room = 14 feet
To get area of the room we use the formula
Area = Length × Width
A = 20 × 14 = 280 feet²
The contractor wants $35 per square foot to remodel it.
So it would cost = 280 × 35 = $9800
It would cost $9800 to remodel the room.
There exists a similarity transformation that maps ΔABC to ΔA′B′C′. The measure of angle A is 68°, and the measure of angle B is 46°. What is the measure of angle C in degrees?
The measure of angle C in triangle ABC is 66 degrees, calculated by subtracting the sum of angles A and B from 180 degrees.
The measure of angle C can be determined by using the fact that the sum of angles in any triangle is always 180 degrees. Given that the measure of angle A is 68° and the measure of angle B is 46°, we can calculate the measure of angle C as follows:
C = 180° - A - B
C = 180° - 68° - 46°
C = 180° - 114°
C = 66°
Thus, the measure of angle C in ΔABC is 66 degrees.
Which number produces a rational number when added to 0.42?
Consider the function given by the graph. What are these values?
f(–2 ) =
f(0) =
f(4) =
The values of the function f(x) for the given graph are approximately -7, -18, and -29.
Explanation:The values of the function f(x) for the given graph can be found by looking at the corresponding points on the graph.
For f(-2), we look at the point on the graph where x = -2. From the graph, we can see that f(-2) is approximately -7.
Similarly, for f(0), we look at the point on the graph where x = 0. From the graph, we can see that f(0) is approximately -18.
For f(4), we look at the point on the graph where x = 4. From the graph, we can see that f(4) is approximately -29.
f(-2) = -1
- f(0) = 3
- f(4) = 0
The values of the function at different points on the graph can be found by looking at the corresponding coordinates on the graph.
To find f(-2), we look for the point on the graph where x = -2. From the graph, it appears that the y-coordinate of this point is -1. Therefore, f(-2) = -1.
To find f(0), we look for the point on the graph where x = 0. From the graph, it appears that the y-coordinate of this point is 3. Therefore, f(0) = 3.
To find f(4), we look for the point on the graph where x = 4. From the graph, it appears that the y-coordinate of this point is 0. Therefore, f(4) = 0.
It is important to note that the given information about the arrows and points (0,3) to (-6,0) and (0,1) to (6,-2) is unrelated to finding the values of the function at the given points. These arrows and points might represent something else in the context of the graph, but they do not affect the calculations of f(-2), f(0), and f(4).
The depth of the water at the end of a pier changes periodically along with the movement of tides. On a particular day, low tides occur at 12:00 am and 12:30 pm, with a depth of 2.5 m, while high tides occur at 6:15 am and 6:45 pm, with a depth of 5.5 m. Let t = 0 be 12:00 am. Write a cosine model, d = acos(bt) + k, for the depth as a function of time. This amplitude is meters. a =
Answers:
1.5, -1.5, 12.5, 4pi/25, 4, D
Step-by-step explanation:
Answer:
1.5 meters
a = -1.5
12.5 hours
b = 4 pi/25
k = 4 meters
last option is D
Step-by-step explanation:
edg 23'
Using technology, we found that Juan’s investment account can be modeled by the function, c(x)=3x2-2x+10, in thousands of dollars. What was Juan’s initial investment?
A)$5
B)$10
C)$5,000
D)$10,000
Answer:
D) $10,000.
Step-by-step explanation:
We have been given a function [tex]c(x)=3x^2-2x+10[/tex], which represents Juan’s investment account in thousands of dollars. We are asked to find Juan's initial investment.
To find Juan's initial investment, we will substitute [tex]x=0[/tex] in our given function.
[tex]c(0)=3(0)^2-2(0)+10[/tex]
[tex]c(0)=3*0-0+10[/tex]
[tex]c(0)=10[/tex]
Since the function gives Juan's investment in thousands of dollars, so Juan's initial investment would be [tex]10\times \$1,000=\$10,000[/tex], therefore, option D is the correct choice.