Answer:
X elevated to 21/25
Step-by-step explanation:
Exponent law say you have to multiplied the exponents:
(3/5)*(7/5) =
21/25
The mistake was using sumatory instead multiplication.
Regards
Answer:
\(\large\text{$ x^{\frac{21}{25}} $}\)
Step-by-step explanation:
Given expression:
\(\large \text{$ \left(x^{\frac{3}{5}}\right)^{\frac{7}{5}} $}\)
\(\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:\)
\(\implies \large \text{$ x^\left(\frac{3}{5} \times \frac{7}{5}\right) $}\)
\(\implies \large \text{$ x^{\frac{21}{25}} $}\)
The distance from the tip of a slice of pizza to the crust is 7 inches.
Does this represent diameter, circumference, or radius?
ANSWER ASAP THANK YOU
Answer:
radius
Step-by-step explanation:
how to solve this question?
The revised Doubtful Debts Provision should be, $4,555.
Now, Using a net debtors value of $91,100 and a provision rate of 5%, use the calculation to get the adjusted Provision for Doubtful Debts (PDD):
Net Debts x Provision Rate equals Adjusted PDD.
The computation would then be:
= $91,100 x 0.05
= $4,555 is the adjusted PDD.
Because of the additional $550 in bad debt and the revised net debtors value of $91,100, the Provision for Doubtful Debts must be raised by ,
= $4,555 - $3,500
= $1,055
Hence, The revised Doubtful Debts Provision should be $4,555.
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A 3-gallon bucket of paint costs $111.12. What is the price per quart?
Answer:
9.26 per quart
Step-by-step explanation:
A 3-gallon bucket of paint costs $111.12.
Find the price of per quart.
3 gallons equal 12 quarts. We divide 111.12 for 12 quarts by 12:
111.12 / 12 = 9.26
What is the range of the relation {(-10, 0), (10, 6), (0, 1), (5, 11), (8,3)}?
Using it's concept, the range of the relation is given by:
{0, 1, 3, 6, 11}.
What is the range of a relation?The range of a relation is the set that contains all output values of the relation, that is, all values of y.
The points given are in the (x,y) format, hence the range of the relation is given by:
{0, 1, 3, 6, 11}.
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Solve for X.
-6x + 14 < -28
AND 3x + 28 < 25
Answer:
1. -6x + 14 < -28
6x<42
x<7
2. 3x + 28 < 25
3x < -3
x<-1
Hope This Helps!!!
Trent needs a total of $320 to buy a new bicycle. He has $35 saved. He earns $15 each week delivering newspapers. How many weeks will Trent have to deliver papers to have enough money to buy the bicycle?
Answer:
Trend wants to buy a new bicycle which costs 320$.
He has 35$ saved and earns 15$ each week.
After a number of weeks (a), the amount money he has: A = 35 + 15 x a
If Trend has enough money to buy that bicycle, we have the equation:
35 + 15 x a = 320
=> 15 x a = 320 - 35
=> 15 x a = 285
\(a = \frac{285}{15} = 19\)
=> After 19 weeks, Trent will have had enough money to buy that bicycle
Hope this helps!
:)
I WILL GIVE THE BRAINIEST
A high school class is planning a field trip to an art museum in their city. The class collected a total of $1259 from all of the students, which will go towards renting a bus, museum admission, and lunch
However, a week before the trip 9 students had to drop out and their portion of the collected money had to be given back to them. Due to this, the students that are all still going must contribute an
Now let a be the number of students who went on the trip and s9 be the original number of students who had planned to go on the trip
What equation can be written to determine the number of students that went on this trip?
An equation can be written to determine the number of students that went on this trip is: C. \(\frac{1259}{s} + 12=\frac{1259}{s+9}\)
How to write an equation to determine the number of students that went on this trip?In order to write an equation to determine the number of students that went on this trip, we would have to assign a variable and an expression to the number of students who went on the trip and the original number of students who had planned to go on the trip as follows;
Let the variable s represent the number of students who went on the trip.Let the expression s + 9 represent the original number of students who had planned to go on the trip.Since a total of $1259 was collected from all of the students with 9 students dropping out and their portion of the money collected given back to them while the students that are all still going must contribute an additional $12, an equation to determine the number of students that went on this trip is given by;
\(\frac{1259}{s} + 12=\frac{1259}{s+9}\)
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Complete Question:
A high school class is planning a field trip to an art museum in their city. The class collected a total of $1259 from all of the students, which will go towards renting a bus, museum admission, and lunch.
However, a week before the trip 9 students had to drop out and their portion of the collected money had to be given back to them. Due to this, the students that are all still going must contribute an additional $12 each to cover all of the cost.
Now let s be the number of students who went on the trip and s + 9 be the original number of students who had planned to go on the trip
What equation can be written to determine the number of students that went on this trip?
A cylinder and a cone have the same height and radius. The height of each is 5 centimeters, and the radius is 2 centimeters. Calculate the volume of the cylinder and the cone (rounded to the nearest tenth). Use 3.14 as an approximation for n. PLS HELP 15 POINTS
Answer:
Step-by-step explanation:
volume of cylinder = πr²h = 3.14·2²·5 = 62.8 cm³
volume of cone = ⅓πr²h = ⅓·62.8 ≅ 20.9 cm³
The volume of the cone is 10.5 cm³. The volume of the cylinder is 31.4 cm³
What is the volume of the cylinder and the cone?
Volume of a cone = 1/3(nr^2h)
n = 22/7
r = radius
h = height
1/3 x 3.14 x 5 x 2 = 10.5 cm³
Volume of the cylinder = nr^2h
3.14 x 5 x 2 = 31.4 cm
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A plane flies 15 miles in 20 seconds. How long would it take the plane to cover 30 miles?
Answer:it would take the plane 40 seconds
Step-by-step explanation:
if you multiply by two then you would be able to get 30
like 15 times 2 and since it’s 15 miles to 20 seconds or 15:20 you would have to multiply by the same number.
Question 2 of 39
Look at this series: 56, 54, 50, 38, 34, ... What number should come next?
A) 23
B) 18
C) 20
D) 32
E) 26
Answer:
D) 32
Step-by-step explanation:
Given;
series: 56, 54, 50, 38, 34, ....
find the difference between successive numbers;
56 54 50 38 34 x
2 4 12 4 2
The highest difference between the numbers is 12, after which it decreases to 4 and finally back 2.
The next number "x" is calculated as;
34 - 2 = x
34 - 2 = x
32 = x
Therefore, the next number should be 32.
The next number that should come next in the series is 32.
Sequence is an arrangement of two or more things in a successive order. Series is the cumulative sum of a given sequence of terms.
Given the numbers in the series: 56, 54, 50, 38, 34, . . ..
The difference is 2, 4, 12, 4, 2
The highest difference between the numbers is 12, after which it decreases to 4 and finally back 2. Hence:
The next number = 34 - 2 = 32
The next number that should come next in the series is 32.
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You bought a sachet water machine from Indie Inc. The cost of the machine was GH¢35,000. At that time, you asked for the payment to be deferred, and a contract was written. Under the contract, you could delay paying for the sachet water machine if you purchased the material for packaging the water from Indie Inc. You will then pay for the machine in a lump sum at the end of 2 years, with interest at a rate of 2% per quarter-year. According to the contract, if you ceased buying the packaging material from Indie Inc. at any time prior to 2 years, the full payment due at the end of 2 years would automatically become due. One year later, you decided to buy the packaging material elsewhere and stopped buying from Indie Inc., whereupon Indie Inc., per the contract terms, asked for the full payment that is due at the end of 2 years to be paid immediately. You were unhappy about this, so Indie Inc. offered as an alternative to accept the GH¢35,000 with interest at 10% per semiannual period for the 12 months that you had been buying the packaging material from Indie Inc. Which of the alternatives should you accept? Explain.
Answer: The answer has been attached below
Step-by-step explanation:
From the attached calculation, the amount payable in the first payment is cheaper than the amount payable for the second payment.
If both alternatives were presented to me by Indie incorporation after purchasing a sachet water machine from them, I'll choose the first method of payment.
Kindly check the attached file for the calculation which prompted the decision taken.
Jordan had 3/8 pound of candy. He gave some to his brother and now he only has 1/10 pound left. How much did he give to his brother?(write your answer as an improper fraction)
Answer:
11/40, 0.275
Step-by-step explanation:
3/8 divided by 1/10 is 11/40/0.275.
What is the value of x in the equation -6x = 5x+ 22?-22-2222
Beth had a necklace with 128 beads. The string broke, and she lost
49 beads. How many beads does Beth have left? Explain how you can break the problem into smaller problems to solve.
Answer:
you can find the answer with a simple addition problem
Step-by-step explanation:
128-49=79
Point E is added to the given figure so that point E lies on segment BD exactly halfway between points B and D. Which statement correctly compares the angle measures?
Answer:
there is no picture but m∠EBD = m∠EBD would be one of the best one as a guess to what the photo might be
Step-by-step explanation:
Point E is added to the given figure so that point E lies on segment BD and it is exactly halfway between points B and D
One angle on a parallelogram measures 155 what are the measures of the other angle
Answer: 25, 90 ,90
Step-by-step explanation:
One angle on a paralel = 155
=> x+ y + z + 155 = 360
x + y + z = 205 ; x + y ; y + z ; x + z = 180
x + y = 180
=> Z = 205 - 180
Z = 25 Degree
x = y = 90 degree
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5. You buy a boat for $35,000 that * 10 points
depreciates in value at about 17%
per year. How much will it be worth
in 3 years?
Your answer
Answer:
9000
Step-by-step explanation:
PLSSSS!!!!!HELPPPPP!!!NOWWW!!!
Answer: I believe the answer is 70
Step-by-step explanation: 57 / 13 is 4.38461538
And if you divide that bye 70 you will get 110
A parallelogram has sides measuring 10 and 18, and an angle measuring 100 degrees. What is its area?
Answer:
180
Step-by-step explanation:
The area of a parallelogram is given by the formula A = b × h, where b is the base and h is the height. In this case, the base is 10 and the height is 18. Therefore, the area is:
A=10×18
A=180
The area of the parallelogram is 180 square units
robin invests $55 at 10% compounded annually for 3 years. How much will her investment be worth in 3 years?
the investment after 3 years will be worth $73.21
Explanation:Amount invested = Principal
P = $55
n = number of time scompounded = annually
n = 1
rate = r = 10% = 0.1
FV = future value after 3 years
Using compound interest formula:
\(FV\text{ = P(1 +}\frac{r}{n})^{nt}\)substituting the values in the formula:
\(\begin{gathered} FV\text{ = }55(1\text{ + }\frac{0.1}{1})^{1\times3} \\ FV\text{ = }55(1\text{ + }0.1)^3 \\ FV\text{ = }55(1.1)^3 \\ FV\text{ = 55(}1.331) \\ FV\text{ = 73.205 approx i}mately\text{ to nearest cents is }73.21 \end{gathered}\)Hence, the investment after 3 years will be worth $73.21
I need help with this one
Fine the area of this figure.what two shapes can you decompose.
Like us, mice are warm-blooded creatures. Their bodies must maintain a constant
temperature of 37°C, regardless of the temperature of their environment. Doing so burns
calories. The more severe the temperature difference, the more calories the mouse must
burn to maintain its body temperature. Consulting the research literature, you found the
following model:
C = 0.37219T + 1,560
Where C is the number of calories an idle mouse burns each day and T is the temperature
of its environment in °C. What is the most comfortable temperature for an idle mouse?
(This is the temperature where it burns the least calories per day). How many calories will
it burn each day at that temperature?
At a temperature of 20°C, the mouse would burn approximately 1,567.44 calories each day.
According to the given model C = 0.37219T + 1,560, where C represents the number of calories an idle mouse burns each day and T represents the temperature of its environment in °C.
To find the most comfortable temperature for an idle mouse, we need to determine the temperature at which the mouse burns the least amount of calories per day.
To find this temperature, we can minimize the equation C = 0.37219T + 1,560. To do so, we take the derivative of C with respect to T and set it equal to zero:
dC/dT = 0.37219 = 0
Solving this equation, we find that the derivative is a constant value, indicating that the function C = 0.37219T + 1,560 is a linear equation with a slope of 0.37219. This means that the mouse burns the least calories at any temperature, as the slope is positive.
Therefore, there is no specific "most comfortable" temperature for an idle mouse in terms of minimizing calorie burn. However, if we consider the range of temperatures mice typically encounter, we can find a temperature where the calorie burn is relatively low.
For example, if we take a temperature of 20°C, we can calculate the calorie burn:
C = 0.37219 * 20 + 1,560
C = 7.4438 + 1,560
C ≈ 1,567.4438 calories per day
Therefore, at a temperature of 20°C, the mouse would burn approximately 1,567.44 calories each day.
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4,12,16,48,52,156,160,_,_,_ find the next 3 numbers
Answer:
Vigil for an hour and two
Answer:
480, 484, and 1452
Step-by-step explanation:
To find the next three numbers to the sequence, we would first have to find the pattern between all of the numbers. Lets look at the first two numbers. 12 is 4 multiplied by 3. 12 is also 4 added with 8. Lets see if any of these work for the other sets of numbers:
4 × 3 = 12 Good
4 + 8 = 12 Good
12 × 3 ≠ 16
12 + 8 ≠ 16
16 × 3 = 48 Good
16 + 8 ≠ 48
48 × 3 ≠ 52
48 + 8 ≠ 52
52 × 3 = 156 Good
52 + 8 ≠ 156
156 × 3 ≠ 160
156 + 8 ≠ 160
So from what we can see, only the multiply by 3 pattern works more than once, but it seems to only work every other pair of numbers. The pattern may be alternating, so lets try to find the pattern between the other pairs of numbers that the multiply by 3 pattern does not work for.
12 and 16
48 and 52
156 and 160
You should be able to see here that the pattern for these pairs of numbers is adding 4. So the pattern for the entire set of numbers alternates between multiply by 3 and add 4. Knowing this, we can find the next three numbers
So right before the first missing number there was an add 4. So this time we must multiply by 3 to find the first missing number.
160 × 3 = 480
So the first missing number is 480. Now we add 4 to find the next missing number.
140 + 4 = 484
So the second missing number is 484. Now to find the final missing number, we multiply by 3 again.
484 × 3 = 1452
So the third missing number is 1452.
The three missing numbers are 480, 484, and 1452.
I hope you find my answer and explanation to be helpful. Happy studying.
This is a 2x2 identity matrix:
True
Or
False
Answer:
i think it is false
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
An identity matrix has a 1 in each position of the main diagonal (diagonal from upper left to lower right) and zeros elsewhere. This matrix has the 1s and 0s in the wrong places to be an identity matrix.
This is what a 2x2 identity matrix looks like:
\( \begin{bmatrix} 1 & 0\\ 0 & 1\end{bmatrix} \)
There is an equation that has a slope of 3 and it crosses the y-axis at (0, -1).
What is the equation of this line?
Answer: y = 3x - 1
Step-by-step explanation:
y = 3x + c
-1 = 3(0) + c
-1 = 0 + c
-1 - 0 = c
-1 = c
y = 3x - 1
A basket had 15 mangoes. A monkey came and took
away two-fifths of the mangoes. How many mangoes
were left in the basket
Answer: There are 9 mangoes left in the basket.
Step-by-step explanation:
(2/5) * 15 = 6.
15 - 6 = 9.
Enter the ratio as a fraction in lowest terms.
5 ft to 70 in.
Answer:
1/14
Step-by-step explanation:
The ratio is 5:70. The fraction form of that is 5/70. To get the lowest terms, I divided both numbers by 5. So it is 1/14
Want Brainliest? Get this correct Which of the following is the quotient of the rational expressions shown below?
Answer:
\(\dfrac{4x^2+12x+5}{6x^2-3x}\)
Step-by-step explanation:
Invert the denominator and multiply.
\(\dfrac{2x+5}{3x}\div\dfrac{2x-1}{2x+1}=\dfrac{2x+5}{3x}\cdot\dfrac{2x+1}{2x-1}\\\\=\dfrac{(2x+5)(2x+1)}{(3x)(2x-1)}=\boxed{\dfrac{4x^2+12x+5}{6x^2-3x}}\qquad\text{matches choice A}\)
Answer:
\(\frac{4x^2+12x+5}{6x^2-3x}\)
Step-by-step explanation:
After using the reciprocal of the second term, the denominator will multiply out to be \(6x^2-3x\). There is only one option with that as the denominator so it must be the correct answer.
Which polynomial is prime?
O 3x³ + 3x² - 2x - 2
O 3x³ − 2x² + 3x − 4
-
O
4x³ + 2x² + 6x + 3
O
4x³+4x²-3x - 3
Answer:
B
Step-by-step explanation:
a prime polynomial is one which does not factor into 2 binomials.
its only factors are 1 and itself
attempt to factorise the given polynomials
3x³ + 3x² - 2x - 2 ( factor the first/second and third/fourth terms )
= 3x²(x + 1) - 2(x + 1) ← factor out common factor (x + 1) from each term
= (x + 1)(3x² - 2) ← in factored form
--------------------------------------------------
3x³ - 2x² + 3x - 4 ( factor the first/second terms
= x²(3x - 2) + 3x - 4 ← 3x - 4 cannot be factored
thus this polynomial is prime
----------------------------------------------------
4x³ + 2x² + 6x + 3 ( factor first/second and third/fourth terms )
= 2x²(2x + 1) + 3(2x + 1) ← factor out common factor (2x + 1) from each term
= (2x + 1)(2x² + 3) ← in factored form
-------------------------------------------------
4x³ + 4x² - 3x - 3 ( factor first/second and third/fourth terms )
= 4x²(x + 1) - 3(x + 1) ← factor out common factor (x + 1) from each term
= (x + 1)(4x² - 3) ← in factored form
--------------------------------------------------
the only polynomial which does not factorise is
3x³ - 2x² + 3x - 4