Answers
Solution
First, we need to convert the dimensions in feet to inches
\(\begin{gathered} \text{ since } \\ 1\text{ ft}=12\text{ inches} \\ \\ \Rightarrow1.5\text{ ft}=1.5\times12\text{ inches}=18\text{ inches} \\ \Rightarrow0.5\text{ ft}=0.5\times12\text{ inches}=6\text{ inches} \end{gathered}\)Hence, the volume is;
\(V=l\times b\times h\)\(V=4\times18\times6=432\text{ inches cubic}\)Related Questions
The highest location in a certain country is 14,864 feet above sea level. The lowest point in the same country is 141 feet below sea level.
Find the difference of the two elevations.
A city is 7,642 feet above sea level. Is this elevation closer to the highest point or the lowest point?
Answers
Answer:
15,003 and Highest Point
Step-by-step explanation:
The highest point is at a positive 14,864 feet so we will use the number 14, 864.
The lowest is at a negative (below sea level) 141, so we will use the number -141.
The difference between them means that you subtract.
14,862-(-141)= x
Note that there is a double negative so it is positive.
14862+141=15,003 feet difference between them.
A city at 7642 above sea level is:
7642-14862=7222 feet away. The city is 7222 feet away from the highest point.
7642--141=7783 feet away. The city is 7783 feet away from the lowest point.
7222 is less than 7783, so the city is closest to the highest point.
Answer:
The difference is 15,005 and for the second part its closer to the highest point
Hope this helps!
QUESTION IN PICTURE
Please explain your answer in steps, thank you.
Answers
We can complete the blanks with the following ratios:
(7.5 mi/1) * (1 mi/ 5280 ft) * (400ft/1 yd) * (3 ft/1 ft) =33 flags
Since we do not need a flag at the starting line, then 32 flags will be required in total.
How to obtain the number of flagsTo solve the problem, we would first convert 400 yds to feet and miles.
To convert to feet, we multiply by 3. This gives us: 400 yd * 3 = 1200 feet.
To convert to miles, we would have 0.227 miles.
Now, we divide the entire race distance by the number of miles divisions.
This gives us:
7.5 mi /0.227 mi
= 33 flags
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PLEASE HELP i WILL MaRK BRAINLY plsssssss
A "light" popcom has 120 Calories per serving. This is 25% fewer Calories than a serving of regular popcorn. How many
Calories does each serving of regular popcom have?
175
b. 250
480
d. 160
C.
a
Answers
We're given:
The popcorn is 120 calories per serving120 calories is 25% fewer calories than original popcornWe must find the calorie count per serving of the original popcornDetermine VariablesLet x equal the calorie count per serving of the original popcorn.
Create an EquationThe light popcorn has a calorie count of 120, which is 25% fewer calories than regular popcorn. This means that 75% of the calorie count of regular popcorn is equal to that of the light popcorn:
\(x*0.75=120\)
Solve the Equation\(x*0.75=120\)
⇒ Divide both sides by 0.75:
\(\dfrac{x*0.75}{0.75}=\dfrac{120}{0.75}\\\\x=160\)
AnswerTherefore, each serving of regular popcorn has 160 calories.
Light travels at 186,000 miles per second. Light takes about 11⁄3 seconds to travel from the earth to the moon. Calculate the distance between the earth and the moon based on the speed of light.
miles
Answers
Answer:
\(\huge\boxed{\sf S = 682000\ miles}\)
Step-by-step explanation:
Given data:Speed of light = v = 186,000 mps
Time = t = 11/3 s
Required:Distance = S = ?
Formula:S = v × t
Solution:S = 186000 × 11/3
S = 2046000/3
S = 682000 miles\(\rule[225]{225}{2}\)
Convert 74.8% to a fraction in simplest form and a decimal.
Fraction:
Decimal (Edit the repeating and non-repeating part):
Answers
Answer:
decimal; 0.748 fraction is: 374/5 or 74 4/5 .
PLEASE HELP THIS IS DUE TODAY
Answers
In conclusion the value that correctly fills in the blank in the table is 0.69.
Why it is?
To find the relative frequency of boys, we need to use the information given in the frequency table. We know that the total number of boys is 120 - 37 = 83, since the total number of students is 120 and the number of girls is 37.
We can then calculate the relative frequency for boys by dividing the number of boys who prefer math or social studies (40 + 43 = 83) by the total number of students (120):
Relative frequency for boys = (40 + 43) / 120 ≈ 0.69
Rounding to the nearest hundredth, we get:
Relative frequency for boys ≈ 0.69
Therefore, the value that correctly fills in the blank in the table is 0.69.
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Change each of the mixed numbers below into a fraction 1 3/8
Answers
Answer:
11/8
Step-by-step explanation:
1 3/8 = 1 + 3/8 = 1/1 + 3/8 = 8/8 + 3/8 = 11/8
write using exponential notation?
5.5.2.2.2.2
Answers
Answer:
\(5 ^{2} \times 2^{4} \)
Step-by-step explanation:
Multiplying 5 by itself is the same thing as raising it to the second power:
\(5 \times 5 = {5}^{2} = 25\)
We multiply 2 by itself two seperate times. That's the same thing as raising 2 to the second power to the second power or in simpler terms raising two to the fourth power:
\(2 \times 2 \times 2 \times 2 = {({2}^{2})}^{2} = {2}^{4} = 16\)
Since only multiplication is present, we can combine the two terms to get:
\(5^{2} \times {2}^{4} \)
Can anyone help me to solve this question ??
find the zeroes for P(x)=6x³-13x²+x+2 given 0.5 is one of the zeroes
The answers :
-1/3 , 0.5 , 2
Answers
Step-by-step explanation:
that means the expression is the result of a multiplication with (x-0.5) being one factor.
so, we divide the whole expression by this and then deal with the remaining quadratic equation.
6x³ - 13x² + x + 2 / x - 0.5 = 6x² - 10x - 4
- 6x³ - 3x²
----------------------------
- 10x² + x + 2
- - 10x² + 5x
----------------------------
- 4x + 2
- - 4x + 2
----------------------------
finished. 0
so, the whole expression is also
P(x) = (x-0.5)×(6x² - 10x - 4)
now we need to find the 2 zero points of the quadratic part.
the general solution to a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
a = 6
b = -10
c = -4
x = (10 ± sqrt(100 - 4×6×-4))/12 =
= (10 ± sqrt(100 + 96))/12 = (10 ± sqrt(196))/12 =
= (10 ± 14)/12
x1 = (10+14)/12 = 24/12 = 2
x2 = (10-14)/12 = -4/12 = -1/3
what is between fractions 6/6 and 6/7
Answers
The fraction 13/7 lies between the fractions 6/6 and 6/7.
We have,
Between the fractions 6/6 and 6/7, there are infinitely many fractions.
To find a fraction that lies between these two fractions, we can take their average.
The fraction 6/6 simplifies to 1, and the fraction 6/7 cannot be simplified further.
To find the average, we add the two fractions and divide the sum by 2:
(6/6 + 6/7) / 2
To add the fractions, we need a common denominator, which is the least common multiple (LCM) of 6 and 7, which is 42.
Converting the fractions to have a common denominator:
(6/6) x (7/7) + (6/7) x (6/6) / 2
Simplifying the expression:
(42/42 + 36/42) / 2
Combining the numerators:
(78/42) / 2
Dividing:
78/42 = 13/7
Thus,
The fraction 13/7 lies between the fractions 6/6 and 6/7.
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according to the department of agriculture consuming 100 grams of banana provides 0.15 milligrams of zinc which of the following is closest to the number of milligrams of zinc provided by 140 grams of banana?
A. 0.15
b. 0.21
C 0.25
D. 0.93
The answer is B how did they get that????
Answers
Answer:
x = 0.21
Step-by-step explanation:
\(\frac{.15}{100} = \frac{x}{140}\)
.15(140) = 100x
21 = 100x
x = 0.21
The number of milligrams of zinc provided by 140 grams of banana will be 0.21 milligrams. Then the correct option is B.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
According to the department of agriculture consuming 100 grams of banana provides 0.15 milligrams of zinc.
Then the number of milligrams of zinc provided by 140 grams of banana will be given by the ratio.
Let x be the amount of zinc. Then the equation is given as,
x / 140 = 0.15 / 100
x / 1.4 = 0.15
x = 0.21 milligrams
The number of milligrams of zinc provided by 140 grams of banana will be 0.21 milligrams. Then the correct option is B.
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in a class of c children there are 16 boys what fraction of the class are boys
Answers
Answer:
16/c
Step-by-step explanation:
hope this helps <3
Question provided in attachment.
Answers
We can be 99% confident that the true mean healing rate of newts falls within the interval of 22.919 to 30.415 micrometers per hour.
How to calculate the valueSample Mean: = (29 + 27 + 34 + 40 + 22 + 28 + 14 + 35 + 26 + 35 + 12 + 30 + 23 + 18 + 11 + 22 + 23 + 33) / 18
= 480 / 18
≈ 26.667
Sample Standard Deviation (s):
= ✓((Σ(29 - 26.667)² + (27 - 26.667)² + ... + (33 - 26.667)²) / (18 - 1))
≈ ✓(319.778 / 17)
≈ ✓(18.81)
≈ 4.336
Confidence level = 99%
Sample Size (n) = 18
Sample Mean = 26.667
Sample Standard Deviation (s) = 4.336
Degrees of Freedom (df) = n - 1 = 18 - 1 = 17
Using a t-table or statistical software, we find that the critical value for a 99% confidence level with 17 degrees of freedom is approximately 2.898.
Margin of Error (E) = 2.898 * (4.336 / ✓18))
≈ 3.748
Confidence Interval = (26.667 - 3.748, 26.667 + 3.748)
= (22.919, 30.415)
We can be 99% confident that the true mean healing rate of newts falls within the interval of 22.919 to 30.415 micrometers per hour. This means that if we were to repeat the study multiple times and construct confidence intervals, approximately 99% of those intervals would contain the true mean healing rate of the population.
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he current I(t) in an electric circuit with inductance L and resistance R is given by equation (4) in Section 13: L *(dI/dt) +RI = E(t), where E(t) is the impressed electromotive force. If I(0) = 0, use the meth- ods of this section to find I(t) in each of the following cases: (a) E(t) = E0u(t); (b) E(t) = E0 8(t); (c) E(t) = E0 sin wt.
Answers
a) The general solution is: I(t) = (E0/R) * (1 - exp(-Rt/L)) * u(t)
b) The general solution is: I(t) = (E0/R) * (1 - exp(-Rt/L)) * 8(t)
c) The general solution is: I(t) = (E0/sqrt(R^2 + (Lw)^2)) * (sin wt + (R/Lw) * cos wt) * exp(-Rt/L)
a) When E(t) = E0u(t) (where u(t) is the unit step function), the solution to the differential equation L *(dI/dt) +RI = E0u(t) can be found using the method of partial fraction expansion.
The general solution is:
I(t) = (E0/R) * (1 - exp(-Rt/L)) * u(t)
b) When E(t) = E0 8(t) (where 8(t) is the impulse function), the solution to the differential equation L *(dI/dt) +RI = E0 8(t) can be found using Laplace transforms.
The general solution is:
I(t) = (E0/R) * (1 - exp(-Rt/L)) * 8(t)
c) When E(t) = E0 sin wt, the solution to the differential equation L *(dI/dt) +RI = E0 sin wt can be found using Laplace transforms or by solving the characteristic equation.
The general solution is:
I(t) = (E0/sqrt(R^2 + (Lw)^2)) * (sin wt + (R/Lw) * cos wt) * exp(-Rt/L
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solve please: 1/4x-5+1.2x
Answers
Answer:
29x/20 - 5
Step-by-step explanation:
1/4x - 5 + 1.2x
=> 0.25x - 5 + 1.2x
=> 1.45x - 5
=> 29x/20 - 5
Therefore, this is the simplified form: 29x/20 - 5
Aaron made a $400 purchase using his credit card. The credit card has a simple interest rate of 12% each year. How much will Aaron owe in total at the end of the year?
Answers
Answer: 448 dollars
=============================================
Work Shown:
P = 400 is the balance
r = 0.12 is the decimal form of the interest rate
t = 1 is the number of years
Use those values to get the simple interest to be
i = P*r*t
i = 400*0.12*1
i = 48
The amount of interest charged is $48
Add this onto the balance of 400 dollars and the total amount Aaron owes is P+i = 400+48 = 448 dollars.
Select the correct choice that completes the sentence below.
In solving the equation 3A+1=16, ________.
Question content area bottom
Part 1
A.
multiply and then divide
B.
subtract and then divide
C.
subtract and then multiply
D.
add and then subtract
Answers
Step-by-step explanation:
first we arrange the equation properly
secondly 3a=16-1 or 3a=16-1=15
SCALCET8 3.10.025. Use a linear approximation (or differentials) to estimate the given number. (Round your answer to five decimal places.) 3 126
Answers
Answer:
\(f(126) \approx 5.01333\)
Step-by-step explanation:
Given
\(\sqrt[3]{126}\)
Required
Solve using differentials
In differentiation:
\(f(x+\triangle x) \approx f(x) + \triangle x \cdot f'(x)\)
Express 126 as 125 + 1;
i.e.
\(x = 125; \triangle x = 1\)
So, we have:
\(f(125+1) \approx f(125) + 1 \cdot f'(125)\)
\(f(126) \approx f(125) + 1 \cdot f'(125)\)
To calculate f(125), we have:
\(f(x) = \sqrt[3]{x}\)
\(f(125) = \sqrt[3]{125}\)
\(f(125) = 5\)
So:
\(f(126) \approx f(125) + 1 \cdot f'(125)\)
\(f(126) \approx 5 + 1 \cdot f'(125)\)
\(f(126) \approx 5 + f'(125)\)
Also:
\(f(x) = \sqrt[3]{x}\)
Rewrite as:
\(f(x) = x^\frac{1}{3}\)
Differentiate
\(f'(x) = \frac{1}{3}x^{\frac{1}{3} - 1}\\\)
Using law of indices, we have:
\(f'(x) = \frac{x^\frac{1}{3}}{3x}\)
So:
\(f'(125) = \frac{125^\frac{1}{3}}{3*125}\)
\(f'(125) = \frac{5}{375}\)
\(f'(125) = \frac{1}{75}\)
So, we have:
\(f(126) \approx 5 + f'(125)\)
\(f(126) \approx 5 + \frac{1}{75}\)
\(f(126) \approx 5 + 0.01333\)
\(f(126) \approx 5.01333\)
En la frutería “Todo barato”, 2 kg de tomates cuesta $ 38.00. ¿Cuánto debe de pagar Karla si compra 9 kg de tomates
Answers
Answer: hi
Step-by-step explanation: hi
State what additional information is required in order to know that the triangles are congruent for the for the reason given
Answers
Answer/Step-by-step explanation:
1. Only one side and an included angle is known. To prove that both triangles are congruent by the SAS Congruence Theorem, an additional information such as a corresponding second side (KJ, and HJ) must be given to be equal to each other.
KJ = HJ
2. Additional information such as a second corresponding angle (angles C and W must be known to prove both triangles are congruent by SAS.
<C = <W
3. Additional information needed is a second corresponding angles must be known to prove the AAS.
4. Additional information needed is the corresponding angles, R and L, which should be equal to prove the ASA.
<R = L
5. Additional information needed: <C = <H
6. Additional information needed: equal hypotenuse lengths of both traingles.
!!!6TH GRADE!!! MATH DUE IN 15 MIN ***50 POINTS***
Elwin is attempting to read a 480 page book in 28 days. He reads the first 60 pages in 4 days. At this rate, will he finish the book in time? Show your work and/or explain your reasoning.
Answers
Answer : No, he won't
Step-by-step explanation:
Given
Target = 480 pages in 28 days
Rate = 60 pages in 4 days
Required:
Determine if he'll reach his target
The rate can be expressed using:
Rate = pages/days
So, we have:
Rate = 60 pages/ 4 days
Multiply the fraction by : that number are on pdf
This can be interpreted as: 420 pages in 28 days
And his target is 480 pages in 28 days
Hence, he wont finish the book at that rate
(hoped it helped)
Answer:
if every 4 days it is 60 days it would have to be
60 pages 4 days
120 pages 8 days
180 pages 12 days
240 pages 16 days
300 pages 20 days
360 pages 24 days
420 pages 28 days
480 pages 32 days
No he will not finish in time
can i get the crown plz
just 46 x 78 answer please graph
Answers
Answer:
<img src="https://media.cheggcdn.com/study/785/7855d77d-e163-4f90-aa2d-4e70ccec0419/image" alt="Solved Use the graph below to answer the question that | Chegg.com"/>
Step-by-step explanation:
How are triangleABC and triangle ADE related? How do you know pls explain.
Answers
Triangle ABC and ADE are similar triangles
What are similar triangles?Similar triangles have the same corresponding angle measures and proportional side lengths.
This means that for two triangles to be similar, the corresponding angles must be equal and the ratio of corresponding sides of similar triangles are equal.
It has been shown that angles in ABC and ADE are equal.
To show that the ratio of corresponding sides are equal
6/12 = 8/16 = 10/20
The ratios all give a value of 1/2
Therefore we can say that the triangles ABC and ADE are similar.
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NEED ASAP
What is the product?
а-3
11
5
15а а-3
о
о
Cul —
за
о за
O3
Answers
Answer:
1/3a
Step-by-step explanation:
\( \frac{(a - 3)}{15a} \times \frac{5}{(a - 3)} = \frac{5}{15a} = \frac{1}{3a} \)
What is the solution to the given inequality? 1/2-1/4x>-1/4
Answers
-1/4 x+1/2 ≥ -1/4
Step 2: Subtract 1/2 from both sides.
-1/4 x+1/2 -1/2 ≥ -1/4 - 1/2
-1/4 x ≥ -3/4
Step 3: Multiply both sides by 4/(-1).
(4/-1)*(-1/4 x) ≥ ( 4/-1)*(-3/4)
The final answer is: x ≤ 3
Hope that helps you<3
Answer:
x ≤ 3
Step-by-step explanation:
\(\dfrac{1}{2}-\dfrac{1}{4}x \geq -\dfrac{1}{4}\)
Subtract 1/2 from both sides:
\(\implies \dfrac{1}{2}-\dfrac{1}{4}x-\dfrac{1}{2} \geq -\dfrac{1}{4}-\dfrac{1}{2}\)
\(\implies -\dfrac{1}{4}x \geq -\dfrac{3}{4}\)
Multiply both sides by 4:
\(\implies -\dfrac{1}{4}x \cdot 4 \geq -\dfrac{3}{4} \cdot 4\)
\(\implies -x \geq -3\)
Divide both sides by -1 (remembering to flip the sign):
\(\implies \dfrac{-x}{-1} \geq \dfrac{-3}{-1}\)
\(\implies x \leq 3\)
Please ANSWER!!!!!!!
Answers
Answer:
See explanation
Step-by-step explanation:
It appears that the second graph is better since it seems to be rather consistent. The graph of the first one seems out of place. Therefore it seems to be confusing and could be misleading.
Delbert is offered a job as a salesman. He will be paid $1000 per month plus a 6% commission on his sales. Write an expression for Delbert's monthly income, I, in terms of his sales, S.
Answers
The expression for Delbert's monthly income, I, in terms of his sales, S is given below:
I=1000+0.06S
What does in terms of his sales, S, mean?
This means that we need a mathematical expression to determine Delbert's monthly income, I, where the sales value of the month achieved by her is represented by S
fixed monthly income=$1,000
variable monthly income=commission=6%*S
variable monthly income=commission=0.06S
Total monthly income=fixed income+ variable income
total monthly income=I
I=1000+0.06S
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Use long division to find the quotient below.
(X^2 + 17x+72) / (x+8)
A. X-9
B. X+9
C. X+7
D. X-7
Answers
\(\huge{\mathbb{\tt { QUESTION↓}}}\)
Use long division to find the quotient below.
(X^2 + 17x+72) / (x+8)
A. X-9
B. X+9
C. X+7
D. X-7
\(\huge{\mathbb{\tt {ANSWER↓}}}\)
\(\color{green}{B. x+9}\)
\(\huge{\mathbb{\tt { SOLUTION↓}}}\)
\(\color{black}{\tt{Factor \: x² + 17x 72 : ( x+8)(x+9)}}\)
\(\color{black}{\tt(x + 8)( x + 9)}\)
\(\color{black}{\tt{x + 8}}\)
\(\color{black}{\tt{cancel \: the \: common \: factor: \: x + 8}}\)
\(\color{red}{\tt{ = 8 + 9}}\)
#CarryOnLearning
#LetsEnjoyTheSummer
→XxKim02xX
(1, 5) (3 , 1)
Please Help
Answers
Answer:
(4, 6)?
Step-by-step explanation:
Im not sure you didn't give much info
Add quotation marks to the
sentence.
Take out your pencil, said
the teacher.
Answers
Step-by-step explanation: