The expressions that are equivalent to (49 1/2) with exponent of 5 are (99/2)^5. 49.5^5 and 297184390.594
How to identify all the expressions equivalent to (49 1/2) with exponent of 5?The expression is given as:
(49 1/2) with exponent of 5
The above expression can be expressed mathematically as:
(49 1/2)^5
Express 49 1/2 as an improper fraction.
So, we have:
(99/2)^5
Evaluate the quotient of 99 and 2
49.5^5
Evaluate the exponent
297184390.594
Hence, the expressions that are equivalent to (49 1/2) with exponent of 5 are (99/2)^5. 49.5^5 and 297184390.594
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O. A water jug is filled with 128 fluid ounces. Anna
pours out 3 pints of liquid from the jug. How
many pints remain?
A. 5 pints
B. 6 pints
C. 8 pints
D.
11 pints
Answer:11
Step-by-step explanation:
HELP ASAP !! i’ll give you the brainliest answer as long it’s correct plsss helpp
Answer:
its b, and why does everyone want brainllest
Step-by-step explanation:
Answer:
Answer option 2
Step-by-step explanation:
Please help! Will give brainliest!
Step-by-step explanation:
\(\sqrt[3]{t^{2} } + 4\sqrt{t^{3} } \\=t^{\frac{2}{3} } + 4t^{\frac{3}{2} }\\\\then, \\u` = \frac{2}{3}t^{-\frac{1}{3}} + 6t^{\frac{1}{2} }\)
Which combination of three side lengths will NOT form a triangle?
15 cm, 8 cm, 6 cm
9 mm, 6 mm, 5 mm
12 in, 9 in, 6 in
4 ft., 5 ft., 3 ft.
Answer:
The combination 9 mm, 6mm, 5mm will not form a triangle.
9 +6 = 15 > 5
6+5= 11 < 9
9+5 =14 > 6
Explanation :
because the side length of triangle does not obey triangle inequality theorem.
The triangle inequality theorem:
The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
Need help in number 10!! Pleaseeeeeee
At an assembly 12 out of the first 20 students who entered the gym were carrying a binder. There will be 800students at the assembly. What is a reasonable prediction for the number of students who will have a binder?
EXPLANATION
Applying the unitary method, if there are 12 out of the first 20 students who entered the gym carrying a binder, for 800 students this would be as follows:
\(\text{Number of students carrying binder=}\frac{12\text{ binder}}{20\text{ students}}\cdot800\text{ students}\)Multiplying terms and simplifying:
\(\text{Number of students carrying binder=}480\text{ }\)There will be 480 students carrying a binder.
Nate is renting a compact car for 8 days and wants to buy the additional insurance. Using the information below, what is the total cost of the car rental if Nate fills the gas tank before he returns the car? Vehicle Type Daily Rental Rate Compact $56 Luxury Sedan $75 SUV $98 Minivan $90 Optional insurance cost is $10 per day. Gasoline charge of $3.50 per gallon if car returned not full.
the total cost of the car rental for Nate if he rents a compact car with the optional insurance and fills up the gas tank before returning the car would be $\(570.\)
What is the total cost?To calculate the total cost of the car rental, we need to first determine the rental rate for a compact car for 8 days, including the optional insurance.
The daily rental rate for a compact car is $ \(56,\) and the optional insurance costs $10 per day. Therefore, the total daily cost of renting a compact car with insurance is:
\(56 + 10 = 66\)
To determine the total cost of renting the compact car for 8 days, we simply multiply the daily cost by the number of days:
\(66 \times 8 = $528\)
Next, we need to determine the cost of gasoline if Nate returns the car without a full tank. The gasoline charge is $ \(3.50\) per gallon, but we don't know how many gallons Nate will need to fill up the tank.
If we assume that a compact car has a gas tank capacity of around 12 gallons, and that Nate will need to refill the tank to its full capacity, then the gasoline charge would be:
$\(3.50 \times 12 = $42\)
Finally, we can calculate the total cost of the rental, including the optional insurance and the gasoline charge if Nate returns the car without a full tank:
$\(528 + $42 = $570\)
Therefore, the total cost of the car rental for Nate if he rents a compact car with the optional insurance and fills up the gas tank before returning the car would be $\(570\).
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Determine whether each of the following provides enough information to prove that △SQP ≅ △SQR. Select Yes or No for each statement.
Q is the midpoint of PR.
∠P ≅ ∠R
∠SQP is a right angle, ∠PSQ ≅ ∠RSQ
∠SQP is a right angle, m∠P = 33°, m∠RSQ = 57°
∠P ≅ ∠R, ∠PSQ ≅ ∠RSQ
For each statement for triangle SQP and SQR, Q is the midpoint of PR: No, ∠P ≅ ∠R: No, ∠PSQ ≅ ∠RSQ: Yes, m∠P = 33°, m∠RSQ = 57°: No, ∠P ≅ ∠R, ∠PSQ ≅ ∠RSQ: Yes.
What is triangle?
A triangle is a geometric shape that consists of three line segments connected end-to-end to form a closed shape. Triangles are one of the basic shapes studied in geometry and are used in a wide range of applications, from construction to computer graphics.
Here are the answers to whether each statement provides enough information to prove that △SQP ≅ △SQR:
Q is the midpoint of PR: No, this information alone is not sufficient to prove the triangles are congruent. We need additional information about the angles or sides.
∠P ≅ ∠R: No, this information alone is not sufficient to prove the triangles are congruent. We need additional information about the sides or other angles.
∠SQP is a right angle, ∠PSQ ≅ ∠RSQ: Yes, this information is sufficient to prove that the triangles are congruent by the angle-angle-side (AAS) congruence criterion.
∠SQP is a right angle, m∠P = 33°, m∠RSQ = 57°: No, this information alone is not sufficient to prove the triangles are congruent. We need additional information about the sides or other angles.
∠P ≅ ∠R, ∠PSQ ≅ ∠RSQ: Yes, this information is sufficient to prove that the triangles are congruent by the angle-angle-angle (AAA) congruence criterion.
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An artist paints a 4 foot x 16 foot mural on a wall what is the total area of the mural
Answer:
64 feet squared
Step-by-step explanation:
Multiply the dimensions (4*16) and that will give you 64)
Hope it helps :>
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1
A coffee pot holds 3 quarts of coffee. How much is this in cups?
4
Write your answer as a whole number or a mixed number in simplest form. Include the correct unit in your answer.
Answer:
12 cups
Step-by-step explanation:
You multiply the the quarts amount by 4
Can someone please help me
Answer:
COULD YOU PLEASE HELP ME ON MY RECENT QUESTION ASAP
Step-by-step explanation:
PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL
your answer would be 147°
solution:
since ∠x and ∠y are supplementary angles. they must add up to 180°
so ∠+∠y=180°
∠x=180°-∠y
= 180°- 33°
=147
−2⋅f(−6)−7⋅g(−7)=minus, 2, dot, f, left parenthesis, minus, 6, right parenthesis, minus, 7, dot, g, left parenthesis, minus, 7, right parenthesis, equals
Therefore, the value of the expression -2f(-6) - 7g(-7) is equal to -99.
What is function?In mathematics, a function is a rule that assigns a unique output value to each input value. Functions are often represented as equations or graphs that relate the input (also known as the independent variable) to the output (also known as the dependent variable). The input is usually denoted by the variable x, and the output is usually denoted by the variable y. Functions can be used to model relationships between different quantities, such as time and distance, or temperature and pressure. They are a fundamental concept in mathematics and are used in many fields, including physics, engineering, economics, and computer science.
Here,
Using the function notations given in the problem, the statement can be read as follows:
-2 times the value of the function f evaluated at x = -6, minus 7 times the value of the function g evaluated at x = -7, is equal to:
-2f(-6) - 7g(-7) =
Substituting the expressions for f(x) and g(x) given in the problem, we get:
-2*(3*(-6)+1) - 7*(-2*(-7)+5) =
Simplifying this expression, we get:
-2*(-17) - 7*(19) = 34 - 133 = -99
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How many unit cubes are on each layer of the cube?
6
3
12
9
Answer:
6
Step-by-step explanation:
Remember: Each layer has 6 cubes. Step 3 Count the cubes. cubes Multiply the base and the height to check your answer. So, the volume of Jorge's rectangular prism is cubic centimeters. if wrong very sorry
Answer:
9
Step-by-step explanation:
took the test
Computer sales decreased from 40 to 32. What is the percentage of the decrease?
Answer:
20
Step-by-step explanation:
32 is 80 percent of 40. 100-80 = 20 percent decrease
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
A company uses the graph to show how many packages each truck driver delivers .How many packages will one truck driver deliver in a 7-hour day?
The truck driver would deliver 105 packages in a 7 hours day
What is an equation?An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.
Let y represent the number of packages delivered by the truck driver in x hours. Using the point (1, 15) and (4, 60). Hence, the equation is:
y - 15 = [(60-15)/(4-1)](x - 1)
y = 15x
For a 7 hour day (x = 7):
y = 15(7) = 105
The driver would deliver 105 packages in 7 hours
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Calcular los 3/5 de los 2/3 de las 3/4 de 560
For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.
How to solve fractions?To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:
Step 1: Calculate 3/4 of 560:
3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420
Step 2: Calculate 2/3 of the result from Step 1:
2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280
Step 3: Calculate 3/5 of the result from Step 2:
3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168
Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.
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John bought a recliner priced at $500, which was financed for $30 a month for 24 months. What is the total
cost for the recliner? How much is the finance charge?
Answer:
$720 total cost $220 finance
Step-by-step explanation:
30x 24= $720 total. 720-500= $220 is the finance charge.
:) hope this helped.
The total cost of the recliner is $720 thus the finance charge will be $220.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.
Multiplication = to multiply any two or more numbers or variables called multiplication.
Summation = addition of two or more numbers or variable
As per the given,
Price of recliner = $500
Financed for $30 for 24 months
Total cost = 30 x 24 = $720
Finance charge = $720 - $500 = $220
Hence "The total cost of the recliner is $720 thus the finance charge will be $220".
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Help me please please please please please
Answer:
f(6) = 21
Step-by-step explanation:
f(6) = 3x + 3
f6) = 3(6) + 3
f(6) = 18 + 3
f(6) = 21
A person places $48800 in an investment account earning an annual rate of 3.1%,
compounded continuously. Using the formula V = Pert, where Vis the value of the
account in t years, P is the principal initially invested, e is the base of a natural
logarithm, and r is the rate of interest, determine the amount of money, to the
nearest cent, in the account after 13 years.
When a person places $48,800 in an investment account at an annual rate of 3.1% compounded continuously, using the formula, V = \(Pe^rt\), the amount of money (future value) after 13 years is $73,019.78.
What is compounding?Compounding refers to the process or interest system that computes periodic or continuous interest on both the principal and accumulated interest.
We can solve for the future value of an investment under continuous compounding using an online finance calculator as follows:
Using the formula V = \(Pe^rt\)
Principal (P) = $48,800.00
Annual Rate (R) = 3.1%
Compound (n) = Compounding Continuously
Time (t in years) = 13 years
Result:
V = $73,019.78
V = P + I where
P (principal) = $48,800.00
I (interest) = $24,219.78
Calculation Steps:
First, convert R as a percent to r as a decimal
r = R/100
r = 3.1/100
r = 0.031 rate per year,
Solving the equation for V:
V = \(Pe^rt\)
V = \(48,800.00(2.71828)^(0.031)(13)\)
V = $73,019.78
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IN CASE YOU ARE LOOKING FOR THE ANSWER
A climber is standing at the top of Mount Kilimanjaro, approximately 3.7 mi above sea level. Earth has a radius of 3959 mi.
What is the climber's distance to the horizon?
Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.
Answer: The answer is 171.2 Miles
Step-by-step explanation: You can easily find a "Horizon finder" online. It helps for harder equations like this.
Also I just realized that you put 171.20. When a question asks for a nearest tenth, only put the first digit of the decimal.
If f (x) = 2x + 4 and g(x) = 3x + 1, what is the value of f (g(3))?
=
O 31
O 24
O 20
O 16
Answer:
B) 24
Step-by-step explanation:
f(x)=2x+4
g(x)=3x+1
----------------
g(3)=3(3)+1=9+1=10
f(g(3))=f(10)=2(10)+4=20+4=24
Composite functions are function into another function. The value of the composite function f(g(3)) is 24
Composite functionsComposite functions are function into another function. Given the following functions:
f (x) = 2x + 4 and;
g(x) = 3x + 1,
Determine the composite function f(g(3))
f(g(x)) = f(3x + 1)
f(3x+1) = 2(3x + 1) + 4
Substitute x = 3 into the result
f(g(3)) = 2(3(3)+1) + 4
f(g(3) = 2(10) + 4
f(g(3)) = 24
Hence the value of the composite function f(g(3)) is 24
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PLEASE HELP WITH THIS QUESTION
Answer:
The real part is 3
The imaginary part is 2
That is what is meant by a complex number
Can I get an answer please?
the rule is reflextive
here(x, y) is changing into (x , -y)
the process is called translation
Jolene invests her savings in two bank accounts, one paying 3 percent and the other paying 9 percent simple
interest per year. She puts twice as much in the lower-yielding account because it is less risky. Her annual
interest is 3120 dollars. How much did she invest at each rate?
Amount invested at 3 percent interest is $____
Amount invested at 9 percent interest is $___
Let's denote the amount Jolene invested at 3 percent interest as 'x' dollars. Since she put twice as much in the lower-yielding account, the amount she invested at 9 percent interest would be '2x' dollars.
To calculate the interest earned from each account, we'll use the formula: Interest = Principal × Rate × Time.
For the 3 percent interest account:
Interest_3_percent = x × 0.03
For the 9 percent interest account:
Interest_9_percent = 2x × 0.09
We know that the total annual interest is $3120, so we can set up the equation:
Interest_3_percent + Interest_9_percent = 3120
Substituting the above equations, we have:
x × 0.03 + 2x × 0.09 = 3120
Simplifying the equation:
0.03x + 0.18x = 3120
0.21x = 3120
Dividing both sides of the equation by 0.21:
x = 3120 / 0.21
x = 14857.14
Therefore, Jolene invested approximately $14,857.14 at 3 percent interest and twice that amount, $29,714.29, at 9 percent interest.
Answer:
Step-by-step explanation:
X is the amount invested at 6%
Y is the amount invested at 9%
0.06X + 0.09Y = 4998
X = 2Y
0.06(2Y) + 0.09Y = 4998
.12Y + 0.09Y = 4998
0.21Y = 4998
21Y = 499800
Y = 499800/21 = 23800
So X = 2*23800 = 47600
$47,600 is invested at 6% and $23800 is invested at 9%
5 inches equals how many feet
Answer:
0.416667
Step-by-step explanation:
divide the length value by 12
happy to help:) mark me as brainliest pls
Just answer Number 5, I got the rest.
Any spam will be reported/deleted.
Answer:
30
Step-by-step explanation:
so one of them is 90, one of them is 60
180-150 = 30
so 30
Theater tickets cost $16 for general admission or $9 with a student ID.
Total ticket sales for a certain showing was $4983. Write an equation
in standard form that shows the possible number of general
admission tickets, x, and student tickets, y, that were sold. Then, find
the total number of student tickets sold if 240 were general
admission tickets.
Answer:
127 student tickets
Step-by-step explanation:
16x + 9y = 4983
x = 240, so substitute that in.
16(240) + 9y = 4983
3840 + 9y = 4983, substract 3840 from both sides
9y = 1143, then divide both sides by 9
y = 127 student tickets
Answer: 16x + 9y = 4983
240 general admission tickets and 127 student tickets
Step-by-step explanation: If you already know that there are 240 general admission tickets and general admission tickets cost 16 dollars the multiply 16 times 240 to get 3840
then subtract 4983 - 3840 to get 1143 which is the money earned on students so now divide 1143 by 9 to get 127
hope this helps mark me brainliest if it did
can someone help me on this math problem ASAP!!
Answer:
The number of yards in 5 miles will be: 8800 miles
Step-by-step explanation:
The double numbers line shows the ratio of yards to miles.From the number line, it is clear that
at 2 miles, the number of yards is 3520.Thus,
The unit rate = 3520 yards / 2 miles
= 1760 yards / per mile
Thus, the number of yards in 5 miles will be:
1760 × 5 = 8800 miles
Therefore, the number of yards in 5 miles will be: 8800 miles