Answer:
\(52 \sqrt[5]{7} \)
Step-by-step explanation:
\(52(7 {)}^{ \frac{1}{5} } \)
\( = 52 \sqrt[5]{7} \)
Please help me I need to turn this in right now
Answer:
85 miles to feet is 448,800 feet :)
Step-by-step explanation:
A positive integer is twice another. The difference of the reciprocals of the two positive integers is 1/ 18. Find the two integers.
Answer:
9 and 18
Step-by-step explanation:
Let the integers be a and 2a (since one is twice the other).
The reciprocals are 1/a and 1/(2a) respectively.
Difference means tk subtract.
So we have 1/a-1/(2a)=1/18
Multiply both sides by 18:.
18a/a-18a/(2a)=18a/18
Simplify:
18-9=a
Simplify:
9=a
If a=9, then 2a=18
The integers are 9 and 18.
Test:
1/9-1/18
2/18-1/18
1/18
Golden!
20. DEPRECIATION Depreciation is the decrease in the value of an item resulting from its age or wear. When an item loses about the same percent of its value each year, an exponential function can be used to model its decreasing value over time. The function g(x)=12,000(0.85)^x can be used to model the value of a $12,000 car as it depreciates at an annual rate of 15% over x years. g(x) is a dilation of the parent function f(x)=0.85^x. The graph shows the function g(x).
a. Write the equation of a function h(x) that represents the depreciation of a $20,000 car depreciating at the same rate over x years.
b. Describe h(x) as it relates to the parent function.
c. What is the difference between the values of the $12,000 car and the $20,000 car 5 years?
a) The equation of the function h(x) to represent the depreciation of a $20,000 car is given as h(x) = 20,000 (0.85)ˣ.
b). The function h(x) is a decay or dilation of the parent function f(x) = 0.85ˣ by a scale factor of $20,000.
c). The difference between the values of the $12,000 and the $20,000 cars after 5 years is $3550.
What is the equation of the function h(x)?The equation of the function h(x) is an exponential function.
An exponential function is a mathematical function in the form f(x) = aˣ, where “x” is a variable and “a” is a constant (called the base of the function) and it is usually greater than 0.
Exponential functions may represent exponential growth or exponential decay, as in this situation, signifying depreciation.
Therefore, the exponential function equations show the values of the cars after five years of depreciation at 15%.
The value of the $12,000 car after 5 years of depreciation at 15% is:
g(x) = 12,000 (0.85)ˣ
g(5) = 12,000 (0.85)⁵ = $5,324
The value of the $20,000 car after 5 years of depreciation at 15% is:
h(x) = 20,000 (0.85)ˣ
h(5) = 20,000 (0.85)⁵ = $8,874
Thus, the difference between the two values is $3,550 ($8,874 - $5,324).
Learn more about exponential functions at https://brainly.com/question/30127596
#SPJ1
translate this sentence into an equation
Answer:
22 + x = 43
Step-by-step explanation:
let x = vanessa's savings
22 + x = 43
Show work
Bonita and Vince are jogging to school 2.5 miles west of
Vinces' house. It takes
them 15 minutes to arrive. As soon as they got there Boneta needed to run east
5 miles to the discount store for personal supplies. This took her 5 minutes. She
then slowly walks back to school, which takes her another 10 minutes
What is the average velocity in miles/min for Bonita for the entire trip?
Show how you convert this to mis? Show your setup and answer.
What is her average speed in miles/min?
- Show how you convert the average speed to mis. Show your set up and answer.
Answer:
V_avg = 0.5556 miles/min
V_avg = 0.00926 miles/sec
Step-by-step explanation:
Bonita jogs 2.5 miles west of Vinces' house to school. It took her 15 minutes to arrive.
Speed 1; distance/time = V1 = 2.5/15 = 1/6 miles/min
Furthermore she ran 5 miles to the discount store for personal supplies. This took her 5 minutes.
Thus;
Speed 2; V2 = 5/5 = 1 mile/min
She then slowly walks back to school, which takes her another 10 minutes. Distance from the discount stor to school is 5 miles as stated in speed 2.
Thus;
Speed 3: V3 = 5/10 = ½ mile/min
Her average speed is;
V_avg = (V1 + V2 + V3)/3
V_avg = (1/6 + 1 + ½)/3
V_avg = 10/18 = 0.5556 miles/min
Converting to miles/seconds
60 seconds make 1 minutes, therefore 1 mile/min = 1/60 miles/seconds
Thus;
V_avg = 0.5556 miles/min = 0.5556 × 1/60 miles/sec = 0.00926 miles/sec
What is the value of x?
Answer: c
Step-by-step explanation:
Answer:
C. 75°
Step-by-step explanation:
Step 1:
70° + 35° + x = 180° Sum of a Δ
Step 2:
105° + x = 180° Combine Like Terms
Step 3:
x = 180° - 105° Subtract
Answer:
x = 75°
Hope This Helps :)
Pleasee help with this question
Answer:
(2 x^2 z^13)/(z^8 y^5)
Hope This Helps!!!
Answer:
2xz⁵/y⁴
Step-by-step explanation:
16/8 = 2
x²/x = x
y/y⁵ = y⁻⁴
z¹³/z⁸ = z⁵
An increase from $27 to $35.10 what percent of increase?
Answer:
30% increase
Step-by-step explanation:
percentage increase is calculated as
\(\frac{increase}{original}\) × 100%
increase = $35.10 - $27 = $8.10 , then
percentage increase = \(\frac{8.10}{27}\) × 100% = 0.3 × 100% = 30%
Answer:
Step-by-step explanation:
step 1: 35.10-27 =8.1
step 2: 8.1/27 x 100 = 30%
so therefore = 30% increase
What is the equation of the line that has a slope of 1/3 and goes through the point (6, -2)?
Answer:
y=1/3x-4
Step-by-step explanation:
plug this equation into Desmos, a graphing calculator site, and the point and you can see it goes right through it! i hope this helped!
Please help me with 4-6 ASAP I will give 30 points
Answer:
i did that paper made 100 but i was looking for it to help u and when i got it i tripped with my enchaladas im tryna clean it to get the answers
Step-by-step explanation:
Two numbers have a sum of 1195 and a difference of 505?
Answer:
x = 850 and y = 345
Step-by-step explanation:
x + y = 1195
x - y = 505
Add the two equations
2x + 0y = 1700
2x = 1700
x = 850
Sub x = 850 into the first equation:
850 + y = 1195
y = 345
Thus, x = 850 and y = 345
[-12] + [4] find the absolute value of each integer then add them
Hello there!
Answer:
16
Step-by-step explanation:
\( |x| = x \: \: \: if \: \: x \: \geqslant 0 \\ |x| = - x \: \: \: if \: \: \: x \: \leqslant 0\)
-12 < 0 so |-12| = -(-12) = 12
4 > 0 so |4| = 4
|-12| + |4| = 12 + 4 = 16
Answer:
16
Step-by-step explanation:
Hello! This question is looking for the absolute value of integers. The absolute value is the distance the number has from zero. For example, -12 as twelve numbers away from zero, twelve away in the negative direction. The absolute value of -12, then, is just twelve. An easy way to remember this is to take away the negative sign when taking the absolute value, since an absolute value can never be negative. The absolute value sign is represented by a squarish bracket [ and ].
This question says to find the absolute value of each integer and then add the two. First we have [-12]. This is 12 away from zero, and we can take away the - sign from the asked integer and we get 12.
The second integer given is 4, and when we take the absolute value of 4, [+4], we get positive four. This is because four is four spaces away from zero on the number line.
Thus, we have +12 and +4 as are values to add since they are the absolute values and we can form this equation
12+4=16
Thus, the answer is 16.
Hope this helps! Remember the hint, when something has brackets like that or asks for the absolute value, take away a negative sign and make it positive! Have a great day!
Find the number of paths from A to B. (Each step can only go up or to the right.)
Answer:
Total ways possible = 104 ways
Step-by-step explanation:
Total ways possible = 104 ways
The figure is attached here for understanding.
In the figure, the blank points are those points where we can not reach.
A line passes through (–2,4), (–4,–8), and (n,–2). Find the value of n.
Hold on, our servers are swamped. Wait for your answer to fully load.
We couldn’t save your answer :( Copy it, refresh the page and add it again. [#undefined]
If the triangle's sides are a base that is 4 inches, a height that is 3 inches, and the other side that is 5 inches, what is the area of that triangle?
Answer:
6 in ^2
Step-by-step explanation:
divide side lengths by two and add those numbers
Consider the statements below. Which are not propositions? Mark all that apply.
(a) A delicious chocolate cake.
(b) College students should get more sleep.
(c) 3 + 5 = 8
(d) 5+ 3 = 53
(e) In Idaho, there are 15 temples for the Church of Jesus Christ of Latter-day Saints.
(f) No way!
(g) The great and spacious building.
(h) Will you be my Valentine?
The statements that are listed above that are not propositions include the following:
College students should get more sleep and Will you be my Valentine?. That is option B and H.What is a proposition statement?A proposition statement is defined as the statement that is either a true statement or false statement but can not be both.
From the given statements,the statement that is a true proposition include the following:
A delicious chocolate cake.3 + 5 = 8In Idaho, there are 15 temples for the Church of Jesus Christ of Latter-day Saints.No way!The great and spacious building.The statement that is a false proposition include the following:
5+ 3 = 53The statement will you be my valentine? is not a proposition but a declarative question that needs to be answered.
Learn more about proposition statement here:
https://brainly.com/question/28453782
#SPJ1
what is the property of 3x(5x7)=(3x5)7
The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.
In the equation you provided: 3x(5x7) = (3x5)7
The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.
the sum of 4/15 and 3/75 multiplied to 4/15
Answer:
92/1125
Step-by-step explanation:
A ball pit contains 190 balls.
50 are orange, 100 are purple and 40 are yellow.
What is the ratio of yellow to purple balls in its simplest form?
Step-by-step explanation:
40 :100 yellow to purple, divide both sides by 20
2:5
Answer:
the ratio of yellow to purple is 40:100 that is 2:5 in the simplest form.
Step-by-step explanation:
Hope it helps.
Tell the kind of symmetry this figure has: point, line, plane (select all
Answer:
Line
Step-by-step explanation:
Answer:
LIIIIINE
Step-by-step explanation:
On a coordinate plane, the vertices of a rectangle are (–1, 1), (3, 1), (–1, –4), and (3, –4). What is the perimeter of the rectangle?
Given that,
The vertices of a rectangle are (–1, 1), (3, 1), (–1, –4), and (3, –4).
To find,
The perimeter of the rectangle.
Solution,
Let the points are :
A(–1, 1), B(3, 1), C(3, –4) and D(–1, –4)
Let's find AB and BC using distance formula :
\(AB=\sqrt{(3-(-1))^2+(1-1)^2} \\\\=4\ \text{units}\)
\(BC=\sqrt{(3-3)^2+(-4-1)^2} \\\\=5\ \text{units}\)
The perimeter of a rectangle = 2(sum of two adjacent sides)
= 2(AB+BC)
= 2(4+5)
= 18 units
So, the perimeter of the rectangle is 18 units.
Yoga Common Core Performance Assessment_ Regina takes yoga classes 2 days a week at the community center. The cost for the classes is $72, and Regina pays an additional one-time fee of $12 to rent the yoga equipment used in class. The classes run for 6 weeks. The local gym offers the same yoga program, including equipment, for $8 a class. Is Regina paying more or less than what the local gym charges for yoga classes?
On solving the provided question, we can say that - by the help of unitary method the value of 9 units will be
What is unitary method ?The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.
here,
cost for the 12 classes = $72
cost of 1 unit = $6
cost of 9 units = $54
To know more about unitary method visit:
https://brainly.com/question/28276953
#SPJ1
Rae leaves a party and heads north
walking at 2 km/hr. Dana leaves the same
party one hour later and heads south at
pace of 3 km/hr. How many hours will it
take the friends to put 7 km between
them?
The required it will take 2 hours for the friends to put 7 km between them.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Let's call the number of hours it takes the friends to be "x". During that time, Rae will have traveled 2x km. And Dana will have traveled 3(x-1) km (since she left an hour later).
We can now set up an equation:
2x + 3(x-1) = 7
Expanding the second term:
2x + 3x - 3 = 7
Combining like terms:
5x - 3 = 7
Adding 3 to both sides:
5x = 10
Finally, dividing both sides by 5:
x = 2
So it will take 2 hours for the friends to put 7 km between them.
Learn more about models here:
https://brainly.com/question/22591166
#SPJ1
A. Saving money at the grocery store by using unit pricing.
a. Toilet paper A is 6 mega rolls for $4.59.
Toilet paper B is 12 mega rolls for $9.02
How to I find which one is the better deal?
Based on the calculations using unit pricing, Toilet paper B has a lower unit price and is the better deal between the two. Customers will save more money if they purchase toilet paper B rather than toilet paper A because the price per mega roll is lower. (option b)
Saving money while shopping is one of the best ways to reduce your expenses and have more disposable income for other things. Unit pricing is a pricing system that displays prices in standard units, allowing customers to compare prices across different brands and package sizes and save money. To determine which toilet paper deal is better, we can use the unit price method, which divides the price by the number of units in the package. The toilet paper with the lower unit price is the better deal.
The formula for unit pricing is as follows:
Unit price = total price ÷ number of units
Using the above formula, we can calculate the unit price of toilet paper A and toilet paper B as follows:
For Toilet paper A:
Unit price = $4.59 ÷ 6 mega rolls
Unit price = $0.765 per mega roll
For Toilet paper B:
Unit price = $9.02 ÷ 12 mega rolls
Unit price = $0.751 per mega roll
Therefore, based on the calculations, Toilet paper B has a lower unit price and is the better deal between the two. Customers will save more money if they purchase toilet paper B rather than toilet paper A because the price per mega roll is lower. (option b)
Unit pricing is a great way to compare prices, and consumers should always use it to determine the better deal between two products, as this will help them save money and stick to their budget.
For more such questions on Unit pricing, click on:
https://brainly.com/question/29023044
#SPJ8
Simplify: 2.4 × 10-4
The four is a exponent
Answer: 20
Step-by-step explanation:
Multiply 2.4*10-4
Calculate 24-4
the answer is (12x^10000)/5
Andrea is told that the means of two groups in a study were statistically significant. She knows the means and standard deviations of the two groups and is interested in calculating an estimate of effect size. Given this information, which effect size estimate should she calculate
Answer:
Cohen's D
Step-by-step explanation:
Cohen's D is a statistic that measures effect size. It shows standardised difference between 2 means.
Effect size is defined as how large the effect of a something is or its magnitude.
Cohen's D works effectively when the sample is >50 (that is for large samples). However a correction factor can be used to make results from small samples more accurate
The formular for Cohen's D is:
D = (mean1 - mean2) ÷ (√({standard deviation1}^2 + {standard deviation 2}^2)/2)
This is the most appropriate method in the given scenario
For which set of data is the mode the BEST measure of central tendency?
A) 3, 11, 20, 14, 20
B) 10, 13, 10, 25, 16
C) 12, 10, 13, 25, 12
D) 14, 10, 12, 14, 3
Answer: C
Step-by-step explanation:
i took the quiz
Expand ( x - 1/x^2)^4
Answer:
We want to expand the expression:
\((x - \frac{1}{x^2} )^4\)
We can just do it by brute force, this is:
First, rewrite our expression as the product of two square factors:
\((x - \frac{1}{x^2} )^4 = (x - \frac{1}{x^2} )^2*(x - \frac{1}{x^2} )^2\)
Now we can expand each one these two factors:
\((x - \frac{1}{x^2} )^2 = (x - \frac{1}{x^2} )*(x - \frac{1}{x^2} ) = x^2 + \frac{1}{x^4} -2*x*\frac{1}{x^2}\)
That can be simplified to
\(x^2 - \frac{2}{x} + \frac{1}{x^4}\)
Now we can replace that in our original expression to get:
\((x^2 - \frac{2}{x} + \frac{1}{x^4})*(x^2 - \frac{2}{x} + \frac{1}{x^4})\)
Now we can expand that last product, to get:
\((x^2)^2 + 2*(x^2)*(-\frac{2}{x} ) + 2*(x^2)*(\frac{1}{x^4}) + 2*(\frac{-2}{x})*(\frac{1}{x^4}) + (\frac{-2}{x} )^2 + (\frac{1}{x^4})^2\)
We can simplify that to:
\(x^4 - 4x + 2x^2 - \frac{4}{x^5} + \frac{4}{x^2} + \frac{1}{x^8}\)
That is the expanded expression.
Find an equivalent ratio for the ratio 4 : 5.
I need help ASAP with these questions
Answer:
The answer is 6
Step-by-step explanation:
2.3... where the 3s go on forever is the same as 2 + 1/3 or 2 & 1/3
The whole number portions add to 3+2 = 5, and we add on the carry of 1 to get 5+1 = 6
3 & 2/3 = 3 + 2/3 = 3 + 0.667 = 3.667 approximately
adding this onto 2.333 leads to
3.667 + 2.333 = 6
Technically the 6's go on forever in the decimal form of 3 & 2/3, but rounding wont have an effect on the answer when we add