Answer:
27 cubic inches
Step-by-step explanation:
A cube by definition has all the side lengths equal to each other. Kind of like how a square has all equal sides, except with a cube, there's depth. So the volume of the cube would be the width*length*depth, but since the width=length=depth, you only need one side, and you just cube it, or raise it to the third power. So you have the equation: [tex]A=(3\text{ inches})^3=27\text{ inches}^3[/tex] which is read as 27 cubic inches
Which has a higher cost of credit, a $12,000.00 loan for 3 years at 21.2% interest or a $24,000.00 loan for 3 years at 10.6% interest?
Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. Both the cards have the same cost of credit.
What is simple interest?Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It is calculated with the help of the formula,
SI = PRT
where SI is the simple interest, P is the principal amount, R is the rate of interest, and T is the time period.
The interest on $12,000 will be,
SI = $12,000 × 3 × 0.212 = $7,632
The interest on $24,000 will be,
SI = $24,000 × 3 × 0.106 = $7,632
Hence, both the cards have the same cost of credit.
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Does anyone know the answer to this?
1) m∠1 = 62°, lines t and l intersect (given)
2) ∠1 and ∠4 are vertical angles (intersecting lines form vertical angles)
3) ∠1 and ∠4 are congruent (vertical angles are congruent)
4) m∠1 = m∠4 (congruent angles have equal measure)
5) 62° = m∠4 (substitution)
6) m∠4 = 62° (symmetric property of equality)
ASAP PLEASE Given that
Evaluate 3b²-c when b = 1/2 and c = 1/4
Answer:
1/2
Step-by-step explanation:
We are given the expression 3b²-c, and we want to evaluate it if b is 1/2 and c is 1/4.
Because b and c are given values, we can substitute them into the expression as so:
Replace b with 1/2 in the expression.
3(1/2)²-c
Now replace c with 1/4 in the expression.
3(1/2)²-1/4
Now to solve this, we need to use the order of operations, which is usually known as PEMDAS (parentheses, exponents, multiplication, division, addition, subtraction) in the United States, although other countries have different abbreviations.
Regardless, the order of operations tells us that we should start with what is inside parentheses (i.e. if we need to do anything, like multiplying or dividing any numbers that are inside parentheses).
In this case, we don't have anything. So, we should go next to exponents, and we do have an exponent here (1/2 is raised to the second power).
So let's evaluate that.
Raise 1/2 to the second power (multiply it by itself).
1/2 * 1/2 = 1/4
We can substitute (1/2)² with 1/4:
3(1/4) - 1/4
Next, we should take care of any multiplication / division, making sure that we should work left to right
There is one multiplication thing to do: the 3(1/4), which will be 3/4
Replace 3(1/4) with 3/4.
3/4 - 1/4
Now, we can subtract 1/4 from 3/4, as the final two things in PEMDAS are addition and subtraction (A and S). Note that even though while addition is written first, we should always be working left to right, so for example if we had 3 - 4 + 6, we should do 3 - 4 first, THEN add 6 to the result of that. The same is true for multiplication and division.
3/4 - 1/4 = 2/4 = 1/2
The graph shown below expresses a radical function that can be written in the form f(x)= a(x + k)^1/n +C. What does the graph tell you about the value of c in this function?
Answer:
C. c is less than zero
Step-by-step explanation:
The parent radical function y=x^(1/n) has its point of inflection at the origin. The graph shows that point of inflection has been translated left and down.
Function transformationThe transformation of the parent function y=x^(1/n) into the function ...
f(x) = a(x +k)^(1/n) +c
represents the following transformations:
vertical scaling by a factor of 'a'left shift by k unitsup shift by c unitsApplicationThe location of the inflection point at (-3, -4) indicates it has been shifted left 3 units, and down 4 units. In the transformed function equation, this means ...
k = 3c = -4The graph says the value of c is less than zero.
__
Additional comment
Apparently, the value of 'a' is 2, and the value of n is 3. The equation of the graph seems to be ...
f(x) = 2(x +3)^(1/3) -4
If r and s represent two numbers, write the following:
53a. Twice the sum of the two numbers
53b. 5% of the difference between the two numbers
Answer:
hope it helps. good day .in case of any question please ask.
Estimate 760 X 55 by first rounding each number so that it has only 1 nonzero digit.
Answer:
48000
Step-by-step explanation:
After rounding each number to the criteria stated, we get the question 800 * 60. Multiply the 8 and the 6 and add the same number of zeros that are there right now. this is 48 + "000" so 48000.
Find the value of 1 + 3 +5+ ... + 125
Answer:
3906
Step-by-step explanation:
(125-1):2+1=63
63x(125+1):2=3906
Find the derivative of each function. Then,
determine whether the function has any local
extrema.
Using the quotient rule, the derivative of [tex]y[/tex] is
[tex]y' = \dfrac{(x^2-1) x' - x(x^2-1)'}{(x^2-1)^2} = \dfrac{(x^2-1) - x(2x)}{(x^2-1)^2} = -\dfrac{x^2+1}{(x^2-1)^2}[/tex]
as you're shown in the picture.
If [tex]y[/tex] has any local extrema, they occur at critical points where [tex]y'=0[/tex] or possibly when [tex]y'[/tex] is undefined.
In this case, [tex]y'[/tex] is undefined when [tex]x=1[/tex], but this is outside the domain of [tex]y[/tex] anyway, so we can ignore that.
That leaves us with the zero-case. For [tex]x\neq1[/tex], the denominator is always positive, so the numerator must be zero. But this never happens, since
[tex]-(x^2+1) = 0 \implies x^2 = -1[/tex]
but [tex]x^2\ge0[/tex] for all real [tex]x[/tex]. Therefore [tex]y[/tex] has no critical points and thus no extrema.
2. Find the largest value of s satisfying the condition
The required value of δ = 1/4.
0< |x-1| < δ
| f(x) - 4 | < 1/2 where f(x) = 6 - 2x
Inequality can be define as the relation of equation contains the symbol of ( ≤, ≥, <, >) instead of equal sign in an equation
now
| f(x) - 4 | < 1/2
|6 - 2x - 4 | <1/2
| 2-2x | < 1/2
| 1 - x | < 1/4
| x - 1 | < 1/4
since modulus function always give positive values.
0 < | x - 1 | < 1 /4
The required value of δ = 1/4.
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¿What are Equivalent Fractions?
50 points
Answer:
Step-by-step explanation:
Equivalent fractions represent the same value, even though they look different. For example, if you have a cake, cut it into two equal pieces, and eat one of them, you will have eaten half the cake.
Numeric Example= [tex]\frac{2}{2} =\frac{1}{1}[/tex]
[tex]{\huge \underline{{ \fbox \color{red}{A}}{\fbox \color{green}{n}}{\fbox \color{purple}{s}}{\fbox \color{brown}{w}}{\fbox \color{yellow}{e}}{\fbox \color{gray}{r } }}}[/tex]
Equivalent Fractions have the same value, even though they look different.
☆Example :-
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{\tt \dfrac{1}{2} = \dfrac{2}{4} = \dfrac{4}{8} }[/tex]
¿Why are they the same?
Because when you multiply or divide the numerator and denominator by the same amount, the fraction does NOT change.
Remember that :-
Remember that :- The multiplication and division that you apply in the numerator to e must repeat in the denominator.
That's why the fractions are really the same.
◇Watch the process ;
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tt \boxed{ \tt \frac{1}{2} = \frac{2}{4} = \frac{4}{8} }[/tex]
That's multiplying
(Image 1)
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{ \tt\dfrac{18}{36} = \dfrac{6}{12 } = \dfrac{1}{2} }[/tex]
That's Division
(Image 2)
I hope I've helped : )
Pls answer for brainlest and 50 points PLEASE EXPLAIN
In image
Answer:
r = 163 --> C
Step-by-step explanation:
In a right triangle, the remaining angle is = 180-73-90 = 17
Because n // p so acute angle created by n = 17
r+17 =180 --> r = 180-17 = 163
What is the value of In e^4?
0 0
O 1
02
04
Answer:
4
Step-by-step explanation:
[tex]In(e^4)[/tex] = [tex]4In(e)[/tex]
= 4 x 1
= 4
The value of the expression ln([tex]e^4[/tex]) is 4.
Option D is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
The natural logarithm (ln) is the inverse function of the exponential function,
[tex]e^x[/tex].
ln([tex]e^4[/tex]) = 4,
since ln([tex]e^4[/tex]) "undoes" the exponentiation of [tex]e^4[/tex].
So the value of ln([tex]e^4[/tex]) is 4.
Thus,
The value of the expression ln([tex]e^4[/tex]) is 4.
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A friend asks to borrow $500 from you. She wishes to pay you back at the end of six months and agrees to pay 6% simple interest. How much interest will you earn? Round your answer to the nearest dollar. Do NOT round until you have calculated your final answer.
The interest you will earn from the loan of 500 dollars at rate of 6% and 6 months is $15.
How to find interest?He borrowed $500 and she will pay at the end of 6 months.
The interest rate is 6%.
Therefore,
I = prt / 100
where
p = principalr = ratet = time in yearsTherefore,
I = 500 × 6 × 0.5 / 100
I = 1500 / 100
I = $15
Therefore, the interest you will earn from the loan is $15.
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what is the common ratio of 3,1,1/3,1/9?
Answer:
mine was D
Step-by-step explanation:
mine was D unless its diffrent
Which functions have a maximum and are transformed to the left and down of the parent function, f(x) = x2? Check all that apply.
p(x) = 14(x + 7)2 + 1
q(x) = –5(x + 10)2 – 1
s(x) = –(x – 1)2 + 0.5
g(x) = 2x2 + 10x – 35
t(x) = –2x2 – 4x – 3
The functions that have a maximum and are transformed are:
q(x) = –5(x + 10)2 – 1t(x) = –2x2 – 4x – 3What is a function?This is the rule in mathematics that is used to show the relationship that is in existence between variables.
In order to check for the minimum and the maximum, we have to check on the coefficient of the x square. When it is negative, we have a maximum. When it is positive it is a minimum.
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Answer: b and e
Step-by-step explanation: algebra edge 2022 :)
How can we develop a margin of error through the use of simulation models for random sampling
When using simulation models for random sampling, we can develop the margin of error by multiplying the critical value by the standard error.
What is the margin or error?This is a measure of the error that we get when we use a random sampling model.
It can be found by the formula:
= Critical value x Standard error
If using a z-test, the critical value would be z and the standard error would be (σ / √n). The margin or error would therefore be:
= z (σ / √n)
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From the diagram below, if AD = 5, and DB = 10, what is the length of CD?
Answer:
20
Step-by-step explanation:
According to Euclidian theorem:
h^2 = AD*CD (h is the height, DB in this case)
rewrite the equation by using given values
10^2 = 5*CD find the square value of 10
100 = 5*CD divide both sides by 5
20 = CD
11) Gretchen purchased a dress that originally cost $89.99. It was marked down 30% off. What was the cost of the
dress?
O a.) $65.99
Ob.) $63.99
Oc.) $62.99
Od.) $64.99
If x varies directly as y, and x = 28 when y = 4, find x when y = 8.
Answer:
to find the value of x
x=(8x28)÷4
Answer: x=56
x/y 28/4=x/8
reduce 28/4 to 7/1
7/1 = x/8
cross multiply
x=56
Step-by-step explanation:
A factory that manufactures bolts is performing a quality control experiment. Each object should have a length of no more than 15 centimeters. The factory believes that the length of the bolts exceeds this value and measures the length of 75 bolts. The sample mean bolt length was 15.07 centimeters. The population standard deviation is known to be a = 0.26 centimeters. What is the test statistic z? Ex: 1.23 What is the p-value? Ex. 0.123 Does sufficient evidence exist that the length of bolts is actually greater than the mean value at a significance level of a 0.01?
The test statistic z is 2.33, the p-value corresponding to the test statistic z value is 0.0099.
What is Probability?Probability is the measure of the likeliness of happening of an event.
The mean of the data is 15.07 centimeters
The standard deviation of the data is 0.26 centimeters.
n = 75
Significance Level ∝ = 0.01
According to the null and alternative hypothesis
Hₐ : [tex]\rm \mu[/tex] ≤15 vs H₁ : [tex]\rm \mu[/tex] >15
The test statistic z is given by
[tex]\rm Z = \dfrac{(X-\mu)}{\sigma/\sqrt{n}}[/tex]
Z = ( 15.07 -15)/(0.26/√75)
Z = 2.33
The p-value corresponding to z value is 0.0099
as p-value < significance level, therefore the H₁ : [tex]\rm \mu[/tex] >15 is acceptable.
No, significant evidence is not present to tell that the length of bolts is actually greater than the mean value at a significance level of 0.01.
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Least common multiple of 10,20 35
Answer: 140
Step-by-step explanation:
Please help!! Having a hard time with this! Bob can buy individual songs for $1.00 to download, or an entire album costs $10.00 to download. He can spend no more than a total of $60. He wants to buy at least three albums, and no more than 35 individual songs.
The following system of inequalities represents this situation, where x is the number of individual songs and y is the number of albums.
x + 10y ≤ 60
x ≤ 35
y ≥ 3
Which yellow shaded region corresponds to Bob’s possible choices?
Answer:
second one listed
Step-by-step explanation:
second one given--he can buy between 3 and 6 albums; and 0 to 30 songs
(if he were to buy exactly 3 albums, he could not buy more than 30 songs; which is why that portion of the graph is not shaded)
(shaded = possible)
hope this helps!
solve for the pattern 7, 11, 2, 18, -7, ?
Answer:
7, 11, 2, 18, -7, 25
La empresa ABC S.A.A tiene como saldo al 31 de marzo de 2021 en Servicios Contratados por Anticipado S/ 16 000 por cuatro meses de alquiler. A la fecha ya ha recibido el servicio de dos meses, los cuales aún no han sido registrados.
ABC S.A.A. debe registra el siguiente ajuste contable al 31 de marzo de 2021.
Answer:
its 20, because I said it
Step-by-step explanation:
so 5+5=10
30-10=20
Graph F(x)=-6|x| how to graph this
See the graph in the attached image.
A decorator wants to line the bottom with through George with paper if the bottom each drawer measures 36“ x 20“ how many square inches of paper are needed
The amount of paper that are needed to line the bottom of 3 drawers with paper is equal to 2,160 square inches.
How to determine the amount of paper?First of all, we would calculate the area of the bottom of each drawer as follows:
Area = length × width
Area = 36 × 20
Area = 720 square inches.
Next, we would multiply this area by 3:
Total area = 720 × 3
Total area = 2,160 square inches.
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Complete Question:
A decorator wants to line the bottom of 3 drawers with paper. If the bottom of each drawer measures 36 inches by 20 inches, how many square inches of paper are needed?
A. 1,040
B. 1,080
C. 2,040
D. 2,160
simplify the expression by using the distributive property and combining like terms
6(3y + 7) + 4(9+9y)
Answer:
54y+78
Step-by-step explanation:
6*3y+ 18y
6*7=42
4*9=36
4*9y=36y
18y+36y+42+36= 54y+78
If x dozen eggs cost y dollars, what is the cost, C, of z dozen eggs?
Answer:
c=y×z
Step-by-step explanation:
the answer is this because z would be the number of dozens you have times y the cost of one by multiplying those together you will get the cost of the z dozens of eggs
it is customary to give a 15% tip for a meal at a restaurant. what is 15% of $64.40
Answer:
$9.66 isb15% of $64.40
Step-by-step explanation:
64.40×15%