Answer:
V = 10 in^3
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3
We have the diameter
r = d/2 = 2.7/2 =1.35
V = 4/3 ( 3.14) (1.35)^3
V =10.30077
Rounding to the nearest whole number
V = 10 in^3
Answer:
10 in^3
Step-by-step explanation:
$320 is invested in an account earning 8.1% interest (APR), compounded quarterly. Write a function showing the value of the account after tt years, where the annual growth rate can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage of growth per year (APY), to the nearest hundredth of a percent
Answer:
Step-by-step explanation:
Given that:
The investment amount in account = $ 320
The rate of interest is = 8.1% compounded quarterly
Compunded quarterly means 8.1% / 4 = 0.02025
The time period = t years
The objective is to write a function showing the value of the account after t years.
From compound interest , compounded monthly.
[tex]Amount = Principal * ( 1 + \dfrac{rate}{12*100})^{12*time}[/tex]
[tex]= $320 *(1 + \dfrac{0.02025}{12*100})^{12t}[/tex]
[tex]= 320*(1+ 1.6875*10^{-5})^{12t}[/tex]
[tex]= 320 * ( 1.000016875)^{12t}[/tex]
Thus; the function after t years [tex]= $320 * ( 1.000016875)^{12t}[/tex]
The percentage of growth per year is :
= (1 + 0.02025)^4 - 1
= 1.083493758 - 1
= 0.083493758
= 8.4 % (APY) yearly
Find the difference quotient of f; that is, find StartFraction f left parenthesis x plus h right parenthesis minus f left parenthesis x right parenthesis Over h EndFraction comma h not equals 0 comma for the following function. f left parenthesis x right parenthesis equals negative 4 x plus 6
Answer:
-4
Step-by-step explanation:
Given the following function:
f(x) = -4x + 6
We have to find the difference quotient of f(x); that is,
[f(x + h) - f(x)]/h
So, we ned to compute f(x + h) as follows:
f(x+h) = -4(x+h) + 6 = -4x - 4h + 6
Replacing into the difference quotient, we get:
[f(x + h) - f(x)]/h = [-4x - 4h + 6 - (-4x + 6)]/h
[f(x + h) - f(x)]/h = [-4x - 4h + 6 + 4x - 6)]/h
[f(x + h) - f(x)]/h = [- 4h)]/h
[f(x + h) - f(x)]/h = -4
What is the domain of the function on the graph?
Answer:
D: [-3, ∞)
Step-by-step explanation:
The x values go from -3 to infinity
The domain is the set of valid x values. That's all real numbers -3 and up, last choice.
Consider the function represented by the graph.
What is the domain of this function?
(A).{x|x>_0}
(B).{x|x<_8}
(C).{x|0<_x<_8}
(D).{x|x<_0x>_8}
Answer: C
Step-by-step explanation:
Identify a 1 in this sequence 13,15,17,19
Answer:
13
Step-by-step explanation:
a₁ represents the first term in the sequence. Here the first term is 13, thus
a₁ = 13
A paper manufacturer packages twelve reams of paper in a box—in three stacks of four reams. A ream of paper weighs 5 pounds and has dimensions of 8.5 inches by 11 inches by 2 inches. What is the volume of the current-sized box? a0 cubic inches
Answer:
Volume of the box = [tex]2244inches^{3}[/tex]
Step-by-step explanation:
Given
Number of reams in one stack = 4
Number of stacks in the box = 3
Dimensions of a ream = 8.5 inches, 11 inches and 2 inches respectively
To find
Volume of one ream = Length × Breadth × Height
= 8.5 × 11 × 2
= [tex]187 in^{3}[/tex]
Volume of all the four reams in one stack = 187 × 4
= [tex]748in^{3}[/tex]
Volume of all the three stacks in the box = 748 × 3
= [tex]2244in^{3}[/tex]
∴ Volume of the box = [tex]2244inches^{3}[/tex]
Answer:
The answer is 2244 in3. hope this helps☻♥.
A) work out (8 x 10^-3) x (2 x 10^-4). Give your answer in standard form.
B) work out (6 x 10^2) ÷ (3 x 10^-5). Give your answer in standard form.
Step-by-step explanation:
[tex]A) \\ (8 \times {10}^{ - 3} ) \times (2 \times {10}^{ - 4} ) \\ = 8 \times 2 \times {10}^{ - 3} \times {10}^{ - 4} \\ = 16 \times {10}^{ - 3 - 4} \\ = 16 \times {10}^{ - 7} \\ = 1.6 \times {10}^{ - 6} \\ \\ B) \\ (6 \times {10}^{ 2} ) \div (3\times {10}^{ - 5} ) \\ \\ = \frac{6 \times {10}^{ 2}}{3\times {10}^{ - 5}} \\ \\ = \frac{2\times {10}^{ 2}}{ {10}^{ - 5}} \\ \\ = 2 \times {10}^{ 2 + 5} \\ \\ = 2 \times {10}^{7} \\ [/tex]
Which of the following are square roots of the number below? Check all that
apply.
576
A.) 24
B.) -576 1/2
C.) 12
D.) -24
E.) 48
F.) 576 1/2
Answer:
A and D
Step-by-step explanation:
576 ^ 1/2 = + or - 24
Determine the value of k. answers: A) 18° B) 180° C) 108° D) 97°
Answer:
C) 108°
Step-by-step explanation:
72°+k°=180° (straight line)
Subtract 72° from both sides
k°=108°
Our answer is C)108°.
Value of k = 108°
The correct option is C.
What is exterior angle?Exterior angles are angles that are parallel to the inner angles of a polygon but lie on the outside of it. The measure of an exterior angle is equal to the sum of the two internal opposite angles.
Given,
In a triangle,
Interior angles are
A = 72°,
B = 83° and
C = 25°
exterior angle A = k°
Exterior angle A = Interior angle B + Interior angle C
k = 83° + 25°
k = 108°
Hence, 108° is the value of k.
Learn more about exterior angle here:
brainly.com/question/28835566
#SPJ2
solve for k. 2.5(4k+2) =12k
Answer:
2.5
Step-by-step explanation:
2.5(4k+2) =12k
2.5*6k=12k
Answer: 2.5
Step-by-step explanation:
giving brainliest to first answer!!
Determine the area of the composite figure to the nearest whole number.
A) 9 ft2
B) 11 ft2
C) 13 ft2
D) 17 ft2
Answer:
C
Step-by-step explanation:
3/4 * 4pi = 3pi
3pi + 4 =. 13
Which graph has a slope of -3?
Answer:
fourth picture
Step-by-step explanation:
if F(x)=2x^2-5 and g(x)=3x+3, find (f-g)(x)
A.2x^2-3x-8
B.-x^2-8
C.3x-2x^2-2
D.2x^2-3x-2
Answer:
work is pictured and shown
3. Sophia had 1/4 of her birthday cake leftover. She split that cake
between her and her best friend. How much of the cake did they each
get?
Answer:
1/8 of the original cake.
1/8 = 0.125
Step-by-step explanation:
The easiest way to do this is with decimals.
1/4 = 0.25
Each of the girls gets 0.25/2 = 0.125
Each girl gets 1/8 of the cake or 0.125 of the cake.
Fill in the blanks. If the triangles cannot be shown to be congruent from the information given, leave the triangle's name blank and write CanNot Be Determined (CNBD) in the spot for rule.
GA ∩ TN = I
∆GIT ≅ ∆________
By rule _________
Answer:
GIT is congruent to AIN
By rule SAS
Step-by-step explanation:
welp hope this helps
i need help please thanks
Answer:
66 units
Step-by-step explanation:
just addition
Answer:
66 units
Step-by-step explanation:
The perimeter of a two dimensional object is all of its sides added together:
6+14+10+17+4+3+8+4=
20+10+17+4+3+8+4=
30+17+4+3+8+4=
47+4+3+8+4=
51+3+8+4=
54+8+4=
62+4=
66 units
Could anyone plz help me with this question ?
Answer:
45
Step-by-step explanation:
b and c are part of an 180 degrees angle.
You already have a 90 degrees angle
180-90=90
And since there are 2 angles
90/2=45
And b and c are vertical angles
To write 11x^2+17x-10 in factored form, Diego first listed pairs of factors of -10.
(__+10)(__+-1)
(__+1)(__+-10) (fill in blanks)
(You dont need to explain just answer it)
Jayne polled 50 students about their preferred after-school sport and then recorded the data in the table below. Which sport is more popular?
A. You can use a relative frequency table to examine how data sets are related by comparing percentages.
B. Row and column relative frequency tables tell you the same information as total relative frequency tables.
C. A column relative frequency table helps compare data in two different rows.
D. In a column two-way relative frequency table, each column totals 100%.
Step-by-step explanation:
D. In a column two-way relative frequency table, each column totals 100%.
Samantha is going to the store to buy cat food. A small bag of cat food costs $6 while a large bag costs $14. She plans to buy at least 4 bags of food but spend no more than $56. Which of the following is a possible combination of the types of bags she can buy?
Answer:
5 small bags of cat food and 1 large bag of cat food
Step-by-step explanation:
bc thats the only one that was no more than $54 and was at least 4 bags o food :)
What is the equation of the translated function, g(x), if
f(x) = x2?
g(x) = (x - 4)2 + 6
g(x) = (x + 6)2 - 4
g(x) = (x - 6)2 - 4
g(x) = (x + 4)2 + 6
Answer:
D. g(x) = (x + 4)2 + 6
Step-by-step explanation:
I just took the test and this was the correct answer
find the sum -1/3+(-5/9)
Answer:
-8/9
Step-by-step explanation:
First of all you have to make -1/3 into a fraction that you can add with (-5/9).
-1/3 turns into -3/9.
-3/9 + (-5/9) is -8/9
Answer:
[tex] - \frac{8}{9} [/tex]
Step-by-step explanation:
We know that,
[tex]( + ) \times ( - ) = ( - )[/tex]
lets solve
[tex] - \frac{1}{3} + ( - \frac{5}{9} ) \\ - \frac{1}{3} - \frac{5}{9} \\ = \frac{ - 1 \times 3 - 5}{9} \\ = \frac{ - 8}{9} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
PLZZ HELPP Why is it important to simplify rational expressions before multiplying or dividing? How do you determine that a rational expression is in simplest form? Compare the process to addition and subtraction.
Answer:
"Simplifying rational expressions will make the further calculations easier since the variables to work with will usually be smaller.
To determine that a rational expression is in simplest form we need to make sure that the numerator and the denominator have no common variables."
Step-by-step explanation:
What company should he rent from
HELP ASAP :(
How are the following three expressions different from each other, if indeed they are? do not just state the value of each but explain what may be the same or different. Be as specific as you can be in your response.
1.(-2)^2
2.-2^2
3. -(2)^2
Answer:
1. 4
2. -4
3. -4
Step-by-step explanation:
Let's look carefully at each problem and explain it.
1. (-2)^2
This means find the square of the number -2. Since the square of a number means multiplying the number by itself, then
(-2)^2 means the product (-2) * (-2),
and since the product of two negative numbers is positive, then
(-2)^2 = (-2) * (-2) = 4
Answer is 4.
2. -2^2
Here, the exponent applies only to the 2, not to -2. This problem means square 2 and then take the opposite of the product. This can be written as
-(2^2)
-2^2 = -(2^2) = -(2 * 2) = -(4) = -4
Answer is -4.
3. -(2)^2
This is the same as problem 2 above. You square the 2 first, then take its negative.
-(2)^2 = -(2^2) = -(2 * 2) = -(4) = -4
Answer is -4
HELP ASAP PLEASE
Are the bases of the prism equilateral triangles? Why or why not? Note: The bases of a triangular prism are triangles.
For this prism to be a right prism, all the lateral faces must be rectangles. Is enough information given to prove the lateral faces are rectangles? Why or why not?
Answer:
Step-by-step explanation:
The bases of a triangular prism are equilateral triangles, since they have equal sides: 5, 5, and 5
yes, since if all lateral faces are rectangles, rectangles are formed from 4 perpendicular segments, thus, if all edges of the lateral faces are perpendicular, then they are rectangles
Answer:
yes
Step-by-step explanation:
i tried explaining it in a way that it wouldn't sound like I'm copying the answer above, but really, the answer above is correct and explains it well, refer to the answer above please
Need help ASAP
How to check that a trinomial is a perfect square ?
Answer:
Step-by-step explanation:
multiply the two square roots together and then by two. You should get the positive or negative version of the other term. Once again, if this is not the case, you do not have a perfect square trinomial. For example, in the trinomial x2 - 12x + 36, both x2 and 36 are perfect squares.
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
If you flip a coin and pick a number tile from a bag of beans containing 6 different numbered beans at the same time, how many possible outcomes are there? A. 4 B. 8 C. 12 D. 16
Answer: C 12
Step-by-step explanation:
ALL possible outcomes
1 tails
2 tails
3 tails
4 tails
5 tails
6 tails
1 Heads
2 Heads
3 Heads
4 Heads
5 Heads
6 Heads
so its 12 total outcomes
Answer:
12
Step-by-step explanation:
go ask edge
Which ordered pair is the solution to the system of equations? {x+2y=−8y=12x−2
Answer:
[tex]\left( -\dfrac{4}{25}, -\dfrac{98}{25} \right)[/tex]
Step-by-step explanation:
[tex]x+2y=-8 \\\\y=12x-2[/tex]
Substitute:
[tex]x+2(12x-2)=-8[/tex]
Expand:
[tex]x+24x-4=-8[/tex]
Simplify:
[tex]25x=-4[/tex]
Divide both sides by 25:
[tex]x=-\dfrac{4}{25}[/tex]
Plug this back into one of the original equations to find y:
[tex]-\dfrac{4}{25}+2y=-8 \\\\\\2y=-7 \dfrac{21}{25}=-\dfrac{196}{25} \\\\\\y=-\dfrac{98}{25}[/tex]
The ordered pair that represents this solution is therefore:
[tex]\left( -\dfrac{4}{25}, -\dfrac{98}{25} \right)[/tex]
Hope this helps!
