What is the value of (-5)4?
Answer:
(-5)4=
-5+4=-1
take care of yourself
have a nice day
(25a + 9d) - (10a - 5d)
Answer:
15a+14d
Step-by-step explanation:
I just combined like terms
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Which of the following sets does the number 49 belong to?
Answer:
please give the complete question. cannot find answer with only half of the question
The surface area of this cylinder is 20,761.68 square yards. What is the height?
Use ≈ 3.14 and round your answer to the nearest hundredth.
29 yd
h=
Submit
h
yards
The height of the cylinder whose surface area is given would be = 85 yards.
How to calculate the height of a cylinder?The cylinder is a type of shape that has three sides which consists of two opposite circles that are joined by a curved surface.
To calculate the height of a cylinder, the formula that should be used is given as follows:
Surface area of cylinder = 2πrh + 2πr²
radius = 29 yards
surface area = 20,761.68 square yards
height = ?
That is ;
20,761.68 = 2×3.14× 29×h + 2×3.14× 29×29
20,761.68 =182.12h + 5281.48
182.12h = 20,761.68-5281.48
182.12h = 15480.2
h = 15480.2/182.12
= 85 yards
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Jada purchases a sweater for $36. The store charges her 8% sales tax on the purchase. How much sales tax will the store charge on the purchase?
Answer:
Step-by-step explanation:
36/100=0.36 - 1%
8*0.36=2.88$
BC=
Round your answer to the nearest hundredth.
Answer:
1.71 = BC
Step-by-step explanation:
take 70 degree as reference angle
using cos rule
cos 70 = adjacent / hypotenuse
0.3420 = BC / 5
0.3420*5 = BC
1.71 = BC
Let the function M(t) = 12t represent the distance in miles that you would travel bicycling t hours.Assume you can bike no more than 13 hours. Find the practical domain and practical range for M(t).All answers must include correct units of measure.Practical Domain:
The least bicycling hours we can have are 0, we cannot have less than 0 hours (because time can't be measured negative) and we can have as much as 13 bicycling hours, then the domain of the function must be the set of values between 0 and 13, including 0 and 13 and it can be written like this:
0 ≤ t ≤ 13
In order to specify the range of the function we just have to evaluate the time values that we used for the domain, like this:
At t = 0
M(0) = 12(0) = 0
At t = 13
M(13) = 12(13) = 156
Then, the range of the function should be:
0 ≤ M(t) ≤ 156
A question includes logarithm and trigonometry. Could anybody help me to solve this,please?
\(\log_2(2\sin x)+\log_2(\cos x)=-1\)
Condense the logarithms on the left side:
\(\log_2(2\sin x\cos x)=-1\)
Recall the double angle identity for sine, \(\sin(2x)=2\sin x\cos x\):
\(\log_2(\sin(2x))=-1\)
Write both sides as powers of 2:
\(2^{\log_2(\sin(2x))}=2^{-1}\)
Simplify this:
\(\sin(2x)=\dfrac12\)
Solve for \(2x\):
\(2x=\sin^{-1}\left(\dfrac12\right)+2n\pi\text{ OR }2x=\pi-\sin^{-1}\left(\dfrac12\right)+2n\pi\)
(where \(n\) is any integer)
Recall that \(\sin^{-1}\left(\frac12\right)=\frac\pi6\):
\(2x=\dfrac\pi6+2n\pi\text{ OR }2x=\dfrac{5\pi}6+2n\pi\)
Solve for \(x\):
\(x=\dfrac\pi{12}+n\pi\text{ OR }x=\dfrac{5\pi}{12}+n\pi\)
We get solutions in the interval \(2\pi <x<\frac{5\pi}2\) when \(n=2\), giving
\(\boxed{x=\dfrac{25\pi}{12}}\text{ OR }\boxed{x=\dfrac{29\pi}{12}}\)
Find the area of the square whose side is [10 - 3x (-2)] cm.*
Step-by-step explanation:
Given that,
Side of the square = [10 – 3x(–2)] cmWe have to calculate the area of the square.
⠀⠀⠀⠀⠀★ Area of square = (Side)² ★
\( \dashrightarrow \quad \rm { Area = [10 - 3x(-2)]^2 \; cm^2} \\ \)
\( \dashrightarrow \quad \rm { Area = [10 + 6x]^2 \; cm^2} \\ \)
\( \dashrightarrow \quad \rm { Area = (10)^2 + (6x)^2 + 2(10 \times 6x) \; cm^2} \\ \)
\( \dashrightarrow \quad \rm { Area = 100 + 36x^2 + 2(60x) \; cm^2} \\ \)
\( \dashrightarrow \quad \underline{\boxed{\bf { Area = 100 + 36x^2 + 120x \; cm^2}}} \\ \)
\(\rule{200}2\)
Answer:
36x^2 + 120x + 100 cm^2.
Step-by-step explanation:
[10 - 3x (-2)]
= 10 + 6x
The area = (10 + 6x)^2
= (10 + 6x)(10 + 6x)
= 10*10 + 10*6x + 10*6x + 6x*6x
= 100 + 60x + 60x + 36x^2
= 100 + 120x + 36x^2.
If 50 J of energy is used for 10 seconds how much power is produced
Answer:
5 watts
Step-by-step explanation:
How many dimes are in the jar of Dimes worth $2.70
Answer:
27 dimes
Step-by-step explanation:
2.70/.10=27
Answer:
It would be 27 Dimes in the Jar.
Step-by-step explanation: Simply just divide 2.70 by 0.10 to get the answer.
19. Describe the graph of a proportional relationship.
The graph of a proportional relationship can be described as a graph that always starts at point zero and is always a straight line graph.
What is a straight line graph?A straight line graph is defined as the type of graph that is also called a linear graph which shows a relationship between two or more quantities that uses a graphical form of representation.
There are some characteristics that shows that a graph is of proportional relationship which include the following:
The graph always starts from zeroThe graph must be a straight line graphLearn more about graph here:
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Given: A (-3, 5) and B (4, -2), what is the length of AB?
After considering the given data we come to the conclusion that the length of AB is 12.124 units, under the condition that A (-3, 5) and B (4, -2) are the given coordinates.
The distance between two points in a plane can be found using the distance formula which is an application of the Pythagorean theorem. The formula is given by d=√ ( ((x₂ – x₁ )² + (y₂ – y₁ )²)
Here (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.
Applying the given coordinates of A (-3, 5) and B (4, -2), we can evaluate the distance between them as follows:
d = √( (4 - (-3))² + (-2 - 5)² )
= √(7² + (-7)²)
= √(98 + 49)
= √147
= 12.124
Therefore, the length of AB is approximately 12.124 units.
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Which relation describes the graph?
The relation that describes the graph {(-1, 3), (-2, 1), (-3, -3), (-4, -5)}
What is graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The coordinates of given graph:
(-1, 3)(-2, 1)(-3, -3)(-4, 5)Hence, the relation is {(-1, 3), (-2, 1), (-3, -3), (-4, 5)}.
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You are shopping for a new computer monitor. It is regularly priced at $200 but it is now on sale for 25% off. After the sale discount is applied, you can also use your 20% off coupon. What is the final price?
a. 110
b. 120
c. 130
d. 140
Answer:
b=120
Step-by-step explanation:
Using proportions, it is found that the final price of the new computer monitor is given by:
b. 120
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
It is regularly priced at $200 but it is now on sale for 25% off, hence 75% of $200 is paid, so:
P1 = 0.75 x 200 = 150.
You can also use your 20% off coupon, hence the final price is of 80% of $150, then:
FP = 0.8 x 150 = $120.
Which means that option B is correct.
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The diagram shows a circle drawn inside a square.
The circle touches the edges of the square.
12 cm
Calculate the shaded area.
Take pie to be 3.142 and write down all the digits given by your calculator.
Answer:
144 - 36×3.142 = 30.888
30.888 ÷4 = 7.722
Determine the interval(s) on which the given function is decreasing?
Answer:
\((-\infty, -1) \cup (0, \infty)\)
Step-by-step explanation:
The function is decreasing if, as x increases, the value of the function (y) gets smaller. This means as you read the graph from left-to-right, the function is decreasing if the graph is falling.
From -infinity to -1, the graph is falling, then the graph rises (f is increasing) until x =0, then the graph falls again from x = 0 to infinity.
HELP ME!!!!
ZEARN!!!!!!!!!
A common denominator is a shared multiple of the denominators of the fractions involved when adding or subtracting fractions. It enables fraction comparison and addition/subtraction.
Simplification is the process of reducing a fraction to its simplest form by dividing the numerator and denominator by their greatest common divisor. This is done to represent fractions in the simplest terms viable.
Conversion: The process of transferring a fraction from one form to another while retaining its equal value is known as conversion. Finding a common denominator or expressing a fraction in terms of a specified unit or fraction may be required.
Fraction Addition/Subtraction: When adding or subtracting fractions, a common denominator is required. This entails determining a common multiple of
To rewrite the expression 3 + 1/5 + 2/3 using fifteenths as the common denominator, we need to find a common denominator for 5 and 3, which is 15 (since 5 and 3 are both factors of 15).
First, let's convert the fractions 1/5 and 2/3 to fifteenths:
\((\frac{1}{5})(\frac{3}{3}) = \frac{3}{15}\)
\((\frac{2}{3})(\frac{5}{5}) = \frac{10}{15}\)
Now we can rewrite the expression using the common denominator:
\(3 + \frac{3}{15}+\frac{10}{15}\)
Sabas Company has 40,000 shares of $100 par, 1% preferred stock and 100,000 shares of $50 par common stock issued and outstanding. The following amounts were distributed as dividends: Year 1: $50,000 Year 2: 90,000 Year 3: 130,000 Determine the dividends per share for preferred and common stock for each year. If an answer is zero, enter '0'. Round all answers to two decimal places.
The dividends per share for preferred stock for each year are: Year 1 - $1.25, Year 2 - $2.25, Year 3 - $3.25. The dividends per share for common stock for each year are all $0.
To determine the dividends per share for preferred and common stock for each year, we need to divide the total dividends by the number of shares for each type of stock.
Preferred Stock:
Dividends per share of preferred stock = Total dividends for preferred stock / Number of preferred shares
Year 1:
Dividends per share of preferred stock for Year 1 = $50,000 / 40,000 shares = $1.25
Year 2:
Dividends per share of preferred stock for Year 2 = $90,000 / 40,000 shares = $2.25
Year 3:
Dividends per share of preferred stock for Year 3 = $130,000 / 40,000 shares = $3.25
Common Stock:
Dividends per share of common stock = Total dividends for common stock / Number of common shares
Year 1:
Dividends per share of common stock for Year 1 = ($50,000 - Total dividends for preferred stock) / 100,000 shares = ($50,000 - $50,000) / 100,000 shares = $0
Year 2:
Dividends per share of common stock for Year 2 = ($90,000 - Total dividends for preferred stock) / 100,000 shares = ($90,000 - $90,000) / 100,000 shares = $0
Year 3:
Dividends per share of common stock for Year 3 = ($130,000 - Total dividends for preferred stock) / 100,000 shares = ($130,000 - $130,000) / 100,000 shares = $0
The dividends per share for preferred stock for each year are: Year 1 - $1.25, Year 2 - $2.25, Year 3 - $3.25. The dividends per share for common stock for each year are all $0.
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Estimate 6 and 1 half times 85 and 5 ninths
Answer
Explanation
To do this, we need to convert each of the mixed fraction into imptoper fractions.
\(undefined\)What is percentage 1/4 of 200
Answer: 50
Step-by-step explanation: 1/4 = 50
2/4 = 100
3/4 = 150
4/4 = 200
PLEASE HELP, I WILL MARK YOU BRAINIEST
What does this graph show?
Answer:
The rate of temperatures in Celsius each hour
Step-by-step explanation:
A rectangular prism has a length of 3 1/2 feet, a width of 5 1/3 feet, and a height of 12 feet. What is the volume of the prism?
Answer:
The answer is 1054ft³
Step-by-step explanation:
Volume of rectangular prism =1/3LWH
V=1/3×31/2×51/3×12
V=1054ft³
Mikey johnson shipped out 34 2/7 pounds of electrical supplies . The supplies are placed in individual packets that weigh 2 1/7 pounds each . How many packets did he ship out ?
Mikey Johnson shipped out 34 2/7 pounds of electrical supplies. The supplies are placed in individual packets that weigh 2 1/7 pounds each. Therefore, Mikey shipped out 16 packets of electrical supplies.
To solve the problem, we can use the following steps.Step 1: Find the weight of each packet.
We are given that the weight of each packet is 2 1/7 pounds.
To convert this mixed number into an improper fraction, we can multiply the whole number by the denominator and add the numerator.
This gives us: 2 1/7 = (2 × 7 + 1) / 7= 15 / 7 pounds.
Therefore, the weight of each packet is 15/7 pounds.
Now, divide the total weight by the weight of each packet.
We are given that the total weight of the supplies shipped out is 34 2/7 pounds.
To convert this mixed number into an improper fraction, we can multiply the whole number by the denominator and add the numerator.
This gives us: 34 2/7 = (34 × 7 + 2) / 7= 240 / 7 pounds.
Therefore, the total weight of the supplies is 240/7 pounds.
To find the number of packets that Mikey shipped out, we can divide the total weight by the weight of each packet.
This gives us: 240/7 ÷ 15/7 = 240/7 × 7/15= 16.
Therefore, Mikey shipped out 16 packets of electrical supplies.
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what is the slope of the line ?
Find the 11th term and nth rule 7,4,1,-2...
The box whisker plots below (sometimes called boxplots) summarize the noon temperatures for each city. Use the box-and-whisker plots to answer the questions.
(a) Which city had more noon temperatures above 76 °F?
(b) Which city had noon temperatures with a larger interquartile range (IQR)?
(c) Which city had a larger median noon temperature?
(d) Which city had the highest noon temperature?
From the box-and-whisker plot, we have that:
a) City B had more noon temperatures above 76ºF.
b) City A had the largest IQR.
c) City B had the larger median temperature.
d) City A had the highest noon temperature.
What is shown by the box-and-whisker plots?For City A, the measures are given as follows:
Minimum temperature: 65ºF.First quartile: 67 ºF.Median: 70 ºF.Third quartile: 75 ºF.Highest temperature: 85ºF.Hence the interquartile range of temperatures is of:
75 - 67 = 8ºF.
For City B, the measures are given as follows:
Minimum temperature: 59ºF.First quartile: 73 ºF.Median: 78 ºF.Third quartile: 80 ºF.Highest temperature: 82ºF.Hence the interquartile range of temperatures is of:
80 - 73 = 7ºF.
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Sam is investing his money. He thinks that he should make $8 for every $100 he invests. How much does he expect to make on an investment of $1500?
Answer:
$120
Step-by-step explanation:
Happy almost halloween!
Math Homework: Unit 3 Assignment
If g represents Gregs's age and his daughter is 4
years less than one half his age, then write an
expression for his daughter's age in terms of the
variable g.
Answer:
(G/2)-4=Greg's Daughter's Age
Step-by-step explanation:
I hope this helps!