You invest 1000 in an account at 2.5% per year simple interest how much will you hav in your account at the beginning of the 4th year round your answer to the nearest whole dollar
More than 450 students traveled to a state park for a field trip. The school allowed 6 students to travel by car, and the rest traveled on 11 buses, each of which held the same number of students. If there were S students in each bus, which inequality best represents this situation?
A prop for the theater club’s play is constructed as a cone topped with a half-sphere. What is the volume of the prop? Round your answer to the nearest tenth of a cubic inch. Use 3.14 to approximate pi.
Answer: V = 2712.94 cubic inches.
Step-by-step explanation: The prop is formed with two objects: cone and half of a sphere. To calculate the volume, find the volume of the cone and the half-sphere and add them together.
Volume of Cone:
V₁ = [tex]\frac{1}{3}.B.h[/tex]
B is area of the base
h is height
Since the cone has its base as a circle, the volume will be:
V₁ = [tex]\frac{1}{3}[/tex].π.[tex]r^{2}[/tex].h
V₁ = [tex]\frac{1}{3}[/tex] . 3.14 . [tex]9^{2}[/tex] . 14
V₁ = 1186.9 cubic inches
Volume of Half-Sphere:
V₂ = [tex]\frac{2}{3}[/tex].π.[tex]r^{3}[/tex]
V₂ = [tex]\frac{2}{3}[/tex] . 3.14 . [tex]9^{3}[/tex]
V₂ = 1526.04 cubic inches
Total Volume:
V = V₁ + V₂
V = 1186.9 + 1526.04
V = 2712.94 cubic inches
The volume of the prop is V = 2712.94 cubic inches
The sum of three consecutive integers is -96. What is the larger integer
given that cos 42° ~0.743 what is the sine of the complementary angle
What is the equation of a vertical line passing through (−5, −2)?
x = −5
y = −2
x = −7
y = −3
Answer:
x = -5
First option is correct.
Step-by-step explanation:
The vertical line is passing through the point (−5, −2).
The equation of a vertical line is in the form x = k
For vertical line, the x-coordinate of each point that lie on the line remains same. Only the y-coordinate is different
For the given point, the x-coordinate = -5
Hence, k = -5
Therefore, the equation of line is x = -5
First option is correct.
What is the simplified form of 8b^3c^ 2a + 4b^3c^2?
Name at least one advantage of credit cards
Find two positive consecutive odd integers such that the square of the larger integer is one less than twice the square of the small integer.
Answer:
smaller integer = 5
Larger integer = 7
Step-by-step explanation:
Let the first odd integer be x
Then the next consecutive integer will be x + 2
Now, The square of larger integer is 1 less than twice the square of the smaller integer.
As, x < x + 2
Smaller integer = x
Larger integer = x + 2
⇒ (x + 2)² + 1 = 2·x²
⇒ x² + 4 + 4x + 1 = 2x²
⇒ x² - 4x - 5 = 0
⇒ x² - 5x + x - 5 = 0
⇒ x(x - 5) + 1(x - 5) = 0
⇒ (x - 5)(x + 1) = 0
⇒ x = 5 or x = -1
But we need positive integer so x = -1 is rejected.
Hence, x = 5
So, smaller integer = 5
Larger integer = 7
What is the scale factor used to create the dilation?
A: 1/2
B: -1/2
C: 2
D: -2
The true conditional statement, "If 5x+7=2x-1 then 3x+7=-1," illustrates which property of equality?
A.Addition
B.Subtraction
C.Multiplication
D.Division
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3. Use the description of each triangle to draw a picture of the triangle. Write and solve equations to find missing angle measures when necessary. Label the measures of all angles of the triangle and mark congruent sides and right angles. (You do not need to draw the triangle exactly to scale.) (a) right isosceles triangle (b) equiangular (all three angles congruent) isosceles triangle (c) acute scalene triangle with two angle measures of 57° and 82°
Michelle works at a store that sells clothing accessories. The supply function for baseball caps is P=Q-6, where P is the price and Q is the quantity of baseball caps. If Michelle sells the baseball caps for $19 apiece, how many baseball caps will the store make?
A. 31 baseball caps
B. 6 baseball caps
C. 19 baseball caps
D. 25 baseball caps
Answer:
25
Step-by-step explanation:
Given : The supply function for baseball caps is P=Q-6, where P is the price and Q is the quantity of baseball caps.
To Find: If Michelle sells the baseball caps for $19 apiece, how many baseball caps will the store make?
Solution:
The supply function for baseball caps is P=Q-6
where P is the price
Q is the quantity of baseball caps.
Now we are given that Michelle sells the baseball caps for $19 a piece.
So, P = 19
Substitute the value in the function:
19=Q-6
19+6=Q
25 =Q
Thus If Michelle sells the baseball caps for $19 apiece, the store make will make 25 baseball caps .
Using the graph below, calculate the average rate of change for f(x) from x = 2 to x = 6.
exponential function going through points 2, 2 and 6, 6
−4
−1
1
4
Answer:
The average ate of change for f(x) from x=2 to x=6 is one, (1). Also seen as choice c.
Step-by-step explanation:
Does the point (3,7) lie on inside or outside the circle
when using the binomial formula which of the following is the correct step in the expansion of (x+y)^4
The correct step in the expansion of (x+y)^4 is to determine the coefficients for each term using the binomial formula.
Explanation:The correct step in the expansion of (x+y)^4 using the binomial formula is to determine the coefficients for each term.
In this case, the coefficients can be found using the formula n choose k, where n is the exponent (4) and k is the power of either x or y in each term.
For example, the term with x^3*y would have a coefficient of 4 choose 3, which is equal to 4.
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The square of nine less than a number is three less than the number. What is the number ?
The original problem is translated into a quadratic equation. By following the process of expanding, moving all terms to one side and solving the resulting equation yield the overall possible solutions x = 4 or x = 1.
Explanation:The question is asking to solve for a number based on a given condition. In this case, let's symbolize this unknown number with x. The problem can be written as an algebraic equation which is (x-9)^2 = x-3. You solve it first by expanding the equation, then move all terms to one side of the equation, to get a quadratic equation. Then, solve the quadratic equation to get the possible values of x. If you follow these steps, you will find that the possible solutions for this equation are x = 4 or x = 1.
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The sum of 555 consecutive integers is 505505505.
What is the third number in this sequence?
A similarity transformation maps ABC to JKL. The measure of of preimage ABC is 105°. The scale factor of the dilation in the similarity transformation is 1.5. If in the preimage corresponds to in the image, what is m?
19) What is the effect on the graph of the parent function f(x) = x when f(x) is replaced with f(x) + 3?
A) shifts the line 3 units up
B) shifts the line 3 units down
C) increases the slope of the line by a factor of 3
D) decreases the slope of the line by a factor of 3
The perimeter of a rectangle is 256 inches. How long are the sides if the length exceeds the width by 16 inches? mark X represent the width of the rectangle and write the Equation 2X +2(x+16)=256. Solving for X the width of the rectangle is what
Olivia just graduated with an Associates degree and is working as a secretary in a firm earning 9.75 an hour.Her contract stipulates that she will get an annual rasie of 6% until she reaches the rate of $15.50 an hour. sheshow long would it take for Olivia to earn $15.50 an hour? math
Which of the following are independent pairs of events? Check all that apply.
A.Flipping two coins and having one show a head and the other show a head
B.Being sneezed on and catching a cold
C.When rolling a pair of dice, getting a total of 6 and having one die show a 3
D.Rolling a 4 on one die and rolling a 2 on another die
E.Seeing clouds and winning the lottery,
The best answer for these question would be:
A. Flipping two coins and having one show a head and the other show a head
D. Rolling a 4 on one die and rolling a 2 on another die
E. Seeing clouds and winning the lottery
Independent events in math means that the first situation does not affect the other variable. It is generally the individual probability that will happen to the solution. Which means that you have to determine whether the first situation will be affected on the second events that will happen. While the dependent events, have the opposite effect.
please anyone help me
A show is on friday,saturday and sunday
2/5 of the total ticlets are for the saturday show.
240 tickets are sold for the saturday show.
three times as many tickets are sold for the sunday show as for the friday show
How many tickets are sold for the sunday show?
What do you need to do to solve x/6=18
A drawer contains 4 red socks, 3 white socks, and 3 blue socks. Without looking, you select a sock at random, replace it, and select a second sock at random. What is the probability that the first sock is blue and the second sock is red?
Answer:
[tex]\texttt{Probability}=\frac{3}{25} [/tex]
Step-by-step explanation:
Probability is the ratio of number of favorable outcome to total number of outcomes.
Total number of socks = 4 + 3 + 3 = 10
Number of blue socks = 3
Number of red sock = 4
[tex]\texttt{Probability of selecting blue sock}=\frac{3}{10} \\ [/tex]
[tex]\texttt{Probability of selecting red sock}=\frac{4}{10} \\ [/tex]
For finding the combined probability we need to multiply both the values
[tex]\texttt{Probability that the first sock is blue and the second sock is red}=\frac{3}{10}\times \frac{4}{10}=\frac{12}{100}=\frac{3}{25} \\ [/tex]
[tex]\texttt{Probability}=\frac{3}{25} [/tex]
a company invest 15000 in an account that compounds interest annually after 2 years the account is worth 160099.44. use the function which R is the annual interest rate p is the principal and A is the amount of money after T years ...what is the interest rate of the account
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In the figure, YX−→− and YZ−→− are tangents to circle A at points X and Z, respectively.
mXZ=140∘
mXSZ=220∘
What is the measure of ∠XYZ ?
For the function f(x) = (8-2x)2 ,find f-1 . Determine whether f-1 is a function.
A.
f-1(x) = ;f-1 is a function
B.
f -1 (x) = ; f-1 is not a function
C.
f-1(x) = ;f-1 is not a function
D.
f-1(x) = ; f-1 is a function
Its not A!,
f-1(x) = 8±√x/2; f-1 is not a function, is the answer