Answer:
I believe the answer is
the mouse costs about/around $1.14
and the mouse pad costs $0.18
Step-by-step explanation:
equation for mouse pad:
the output value is $1.20
and x=15%
equation template: \(\frac{1.20}{x}= \frac{100}{15}\)
using the reciprocal of both sides gives: \(\frac{x}{1.20} = \frac{15}{100}\)
Therefore, 15% of $1.20 is $0.18
Equation for Mouse:
the output value is 1.20
and x=95%
Equation template: \(\frac{1.20}{x} =\frac{100}{95}\)
Using the reciprocal of both sides gives: \(\frac{x}{1.20} =\frac{95}{100}\)
Therefore, 95% of $1.20 is $1.14
i hope this helps you :>
What is the median of this data set? Enter your answer as a decimal in the box median=
Median is the middle value.
Writing the values from smallest to largest you have :
1/8, 1/8, 2/8, 2/8, 2/8, 3,8, 3/8, 4/8, 5/8
There are 9 values. The middle value ( median) would be the 5th number ( this would give you 4 numbers below it and 4 numbers above it.
The Median is 2/8
Answer:
2/8 is the median. In decimal, it is 0.25.
Happy learning!
--Applepi101
Find the pattern for sequence 5,10,20,40
Answer:
Everything is x2 itself.
Step-by-step explanation:
5x2=10 10x2=20 20x2=40
Answer:
it multiples time 2 every time
Step-by-step explanation:
5 to ten 5times 2
10 to 20 10 time 2
20 to 40. 20 time 2
5/6 divided by 2 =?
Need answer soon!!
Answer:
0.416666667
Step-by-step explanation:
(winks and runs off)
Answer:
5/12
Step-by-step explanation:
5/6÷2
5/6÷2/1
5/6•1/2
5/12
Use dimensional analysis to convert the measurements.
A dwarf sea horse stvims at a rate of 51.68 feet per hour. Convert this speed to inches per minute.
The speed is
inches per minute.
Answer:
10.336 in/ minStep-by-step explanation:
The speed is:
51.68 feet / hourCovert to inches / min:
1 foot = 12 in, 1 hour = 60 min51.68 feet / hour =51.68 * 12 in / 60 min = 51.68 * 1/5 in / min = 10.336 in/ minJack ran a total of 30 miles over the course of 15 track practices. How many track practices would it take for Jack to run 44 miles? Solve using unit rates.
My brain isn’t functioning and i need this done before December 21.
Answer:
22
Step-by-step explanation:
Use a proportion.
30/15 = 44/x
30x = 15 × 44
2x = 44
x = 22
Answer:
22
Step-by-step explanation:
30 miles/ 15 sessions of tract practice
Per practice Jack is running a total of 2 miles.
So 44 miles/2 miles
22 sessions of track practice
In the given circle with the centre O,
angle ABC = 100° angleACD = 40° and CT is a tangent to the circle at C. Find Angle ADC and Angle DCT.
Step-by-step explanation:
As the points A, B, C and D lie on a circle, So, ABCD is a cyclic quadrilateral...
As, Sum of opp. ∠s in a cyclic quadrilateral = 180°
∴ ∠ADC + ∠ABC = 180°
=> ∠ADC + 100° = 180° => ∠ADC = 80°
Now,
Sum, of all angles in a traingle = 180°
In ΔACD, ∠CAD + ∠ADC + ∠ACD = 180°
=> ∠CAD + 80° + 40° = 180°
=> ∠CAD = 180° - 80° - 40° = 60°
As CT is tangent to the circle at the point C and CD is a chord of the circle, So
∠DCT = ∠CAD........(∠s in alternate segments are equal,,So ∠CAD = 60°)
=> ∠DCT = 60°
Hope it helps you!!Answer:
See below ~
Step-by-step explanation:
∠ADC
∠ABC + ∠ADC = 180° (Angles in a cyclic quadrilateral)∠ADC = 180° - 100° = 80°∠DCT
∠DCT = ∠CAD (ANGLES IN ALTERNATE SEGMENTS EQUAL)∠CAD = 180° - 80° - 40° = 60°∠DCT = 60°find a power series representation for the function. (give your power series representation centered at x
The power series representation for f(x) = 1/(1-x) centered at x=0 is:
1 + x + x^2 + x^3 + ...
To find a power series representation for a function, we can use the formula:
f(x) = ∑(n=0 to infinity) [an(x-a)^n]
where a is the center of the series and an is the coefficient of the (x-a)^n term.
For example, let's find a power series representation for the function f(x) = 1/(1-x) centered at x=0:
Using the formula, we have:
f(x) = ∑(n=0 to infinity) [an(x-0)^n]
To find the coefficients an, we can use the formula for the geometric series:
1/(1-x) = 1 + x + x^2 + x^3 + ...
So, we have:
an = [x^n]/n!
Substituting this into the power series formula, we get:
f(x) = ∑(n=0 to infinity) [(x^n)/(n!)](x-0)^n
Simplifying, we get:
f(x) = ∑(n=0 to infinity) [(x^n)/(n!)]
Therefore, the power series representation for f(x) = 1/(1-x) centered at x=0 is:
1 + x + x^2 + x^3 + ...
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your puppy dug up two thirds
Answer: your puppy dug up two thirds of the yard.
Step-by-step explanation:
Let f(x) = tan x, Show that f(0) = f(π) but there is no number c in (0, π) such that f’(c) = 0. Why does this not contradict Rolle’s Theorem?
This situation does not contradict Rolle's Theorem because Rolle's Theorem requires the function to be continuous on a closed interval and differentiable on an open interval, which is not satisfied by f(x) = tan x in the interval (0, π).
To show that f(0) = f(π), we evaluate the tangent function at these points. At x = 0, tan(0) = 0, and at x = π, tan(π) = 0. Therefore, f(0) = f(π).
To investigate whether there exists a number c in the interval (0, π) such that f'(c) = 0, we need to find the derivative of f(x). The derivative of tan x is given by f'(x) = sec² x. However, the secant squared function is never equal to zero. Therefore, there is no c in the interval (0, π) where f'(c) = 0.
This situation does not contradict Rolle's Theorem because Rolle's Theorem requires certain conditions to be met. First, the function must be continuous on the closed interval [a, b], which is not satisfied by f(x) = tan x since it is not defined at x = π/2. Second, the function must be differentiable on the open interval (a, b), but f'(x) = sec^2 x is not defined at x = π/2. Thus, the requirements of Rolle's Theorem are not fulfilled, and its conclusion does not apply to f(x) = tan x in the interval (0, π).
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Consider the following model:
yhat =5+20√x
The prediction of y is y hat. What is the estimated marginal effect of x on y when x=100 ?
a. 20
b. 1
c. 205
d. 2
The estimated marginal effect of x on y when x is equal to 100 is 1.
Option B is the correct answer.
We have,
To determine the estimated marginal effect of x on y, we need to take the derivative of y with respect to x.
\(\hat y\) = 5 + 20√x.
Taking the derivative with respect to x,
d(\(\hat y\)) / dx = d(5 + 20√x) / dx
Since the derivative of a constant term (5) is 0.
Using the chain rule, the derivative of √x is (1/2√x),
d(\(\hat y\)) / dx = 20 * (1/2√x) = 10 / √x
Now, we can substitute x = 100 into the derivative:
d(\(\hat y\)) / dx = 10 / √100 = 10 / 10 = 1
Therefore,
The estimated marginal effect of x on y when x is equal to 100 is 1.
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use the difference of two squares to find the value of 612 - 392
Answer: 4 (153 - 98)
formula is a^2-b^2=(a+b)(a-b)
factor out the GCF:
4(153−98)
both terms are not perfect squares so
you cant factor it further.
Give the slope of the graph and the unit rate. Express your answers as simplified fractions, if necessary.
Jorge: 7 miles every 9 hours
Answer:
.77
Step-by-step explanation:
7/9
the number n can be expressed as the product of four prime numbers, exactly three of which are the same. how many different positive divisors does n have, including n and 1 ?
Answer:
8
Step-by-step explanation:
Give a prime factorization consisting of two primes, with one of them cubed, you want to know the number of positive integer divisors.
DivisorsThe number of divisors is the product of the exponents of the prime factorization, each increased by 1.
ApplicationYour number is ...
n = (a^3)(b^1)
so the number of positive divisors is ...
(3+1)(1+1) = 4·2 = 8
The number n has 8 different positive divisors.
__
Additional comment
The divisors are ...
1, a, b, a², ab, a³, a²b, a³b
Example: 24 = 2³·3 has divisors ...
1, 2, 3, 4, 6, 8, 12, 24
A dependent variable is the variable that we wish to predict or explain in a regression model. True False
True. In a regression model, the dependent variable is the variable that we aim to predict or explain using one or more independent variables.
In a regression model, the dependent variable is indeed the variable that we aim to predict or explain. It represents the outcome or response variable that we are interested in understanding or analyzing. The purpose of the regression analysis is to examine the relationship between this dependent variable and one or more independent variables. By identifying and quantifying the influence of the independent variables on the dependent variable, regression analysis allows us to make predictions or explanations about the behavior or value of the dependent variable.
The regression model estimates the relationship between the variables based on observed data and uses this information to infer how changes in the independent variables impact the dependent variable.
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Bill and Mary Ann went to the Viola bakery. Bill bought 4 regular donuts and 8 filled donuts for $14. 88. Mary Ann bought 7 of each for $15. 54. What is the price of each type of pastry?
Answer:
$1.50 per filled donut and $0.72 per regular donut
Step-by-step explanation:
We need to set up a system of equations to find the price of each type of donut:
Since Bill bought 4 regular donuts and 8 filled donuts for $14.88, we can use the equation 4R + 8F = 14.88
Since Mary Ann bought 7 regular donuts and 7 filled donuts for $15.54, we can use the equation 7R + 7F = 15.54
From first glance, it is clear that elimination will be the best method to solve:
\(4R+8F=14.88\\7R+7F=15.54\\\\7(4R+8F=14.88)\\-4(7R+7F=15.54)\\\\28R+56F=104.16\\-28R-28F=-62.16\\28F=42\\F=1.5\\\\4R+8(1.5)=14.88\\4R+12=14.88\\4R=2.88\\R=0.72\)
a women earns 16% more than her husband. Together they make 72,360 per year. what is the husbands annual salary
well, her husband makes "x" in salary, hmmm hers is 16% more than that, so
\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{16\% of x}}{\left( \cfrac{16}{100} \right)x}\implies 0.16x\)
so she really makes x + 0.16x = 1.16x, and we know their total is 72,360, so
\(\stackrel{husband}{x} + \stackrel{hers}{1.16x} = 72360\implies 2.16x=72360\implies x=\cfrac{72360}{2.16}\implies \boxed{x = 33500}\)
HELP!!! URGENT!!!!! Plz!!!
Answer:
i think below the line?
Step-by-step explanation:
How much should a vending machine be worth as of today that is expected to pay out $750 every six months for 15 years? Assume a 5% interest rate per annum and that the first payment is made four years after from today.
13,205.95
14,205.95
15,205.95
16,205.95
The current value of the vending machine is $150,411.90, which is the sum of all discounted future payments.Vending machines are used to offer goods like snacks and beverages to consumers for sale without the need for a salesperson.
These machines often necessitate cash or debit card payments to operate. Vending machines have become a preferred method of retailing due to their cost-effectiveness and ease of use. The current value of the vending machine can be determined using the present value formula.
The present value is the sum of the future payments, discounted back to their current value. In this case, we must discount the future payments to their present value using the given interest rate. The formula is as follows:PV = Pmt x ((1-(1/(1+r)n))/r).
Where, PV = Present Value Pmt = Payment per period n = Number of periods r = Interest rate per periodIn this scenario, Pmt = $750n = 30 periods (since the payments are made every six months for 15 years, which is 30 periods)r = 5% per period.
Present Value = $750 x ((1-(1/(1+0.05)^30))/0.05) Present Value = $150,411.90.
Therefore, the current value of the vending machine that is expected to pay out $750 every six months for 15 years at a 5% interest rate per annum, and the first payment is made four years after from today is $150,411.90.
In conclusion, the current value of the vending machine is $150,411.90, which is the sum of all discounted future payments.
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Literal Equations:
Solve the equation for the indicated variable.
a−c=d−r, for c
Group of answer choices
c=−d+r+a
c=d−r/a
−c=d−r−a
c=d−r+a
Answer:
−c=d−r−a
Step-by-step explanation:
if we move a value to the other side of the equal sign, the value switches positive and negative signs, in this case A moved to the right, which caused it to turn negative.
To start a new business Beth deposits $2000 at the end of each six-month period in an account that pays 7%, compounded semiannually. How much will she have at the end of 8 years?
Okay, here we have this:
four runners were randomly sampled and it was determined that, in their running, they ran 23, 19, 23, and 23 miles per week, respectively. if we wish to test the claim that the population mean running time is less than 21 miles per week, what conclusion should be reached at the 1% level of significance? based upon the appropriate null and alternative hypotheses we:
Reject the claim by accepting H0.
What is null hypothesis and alternate hypothesis?
The null hypothesis and the alternative hypothesis are types of conjectures used in statistical tests, which are formal methods of reaching conclusions or making decisions on the basis of data.
Explanation for the answer:
Mean of observations, x bar \(=\frac{(23+19+23+23)}{4}=22\)
Then for each number: subtract the Mean and square the result:
\(1+9+1+1=12\)
Sample Variance:
\(\frac{12}{3} = 4\)
Sample Standard Deviation:
\(\sqrt{4} = 2\)\((\sqrt{4})^{0.5} = 1.1412\)
Standard error,
\(se = (\frac{s}{n} )^{0.5}\)
\(se = (\frac{1.1412}{4} )^{0.5}\)
\(se = 0.5341\)
Hypothesis,
\(H_0: Xbar \geq 21, against\)
\(H_1: Xbar < 21\\\) (Lower tailed test)
t-statistic:
\(t-statistic=\frac{xbar-Xbar}{se}=\frac{22-21}{0.5341}=1.8723\)
p value for 3 (=n-1) degrees of freedom = 0.039805 or 3.9805%
As p-value < 1% (level of significance), so, we reject the null hypothesis. Hence, the mean running time of runners is not significantly atleast 21 miles.
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The fraction 4/5 is equivalent to which of the following decimals?
0.08
0.8
4
0.4
Answer:
0.8(Decimal Form) and 80%(Percent Form)
Step-by-step explanation:
HELP With this math problem plzz
M<2 is 110° and m<1 is 70° bc it’s supplementary angles so 180-110=70°
Step-by-step explanation:
Tom and Jane want to build a round swimming pool in their backyard that is 20 feet across. How many square feet will the pool be? Use 3.14 for pi.
Answer:
area = 314 ft²
Step explanation:
20/2 = 10 = radius
10²(3.14) = 314 ft²
Find y when x=92, if y varies inversely as x, and y=137 when x=32. a. 47.65 b. 45.99 c. 41.89 d. 52.52
The answer is c) 41.89.The problem states that y varies inversely as x, which means that y and x are inversely proportional. This means that xy = k, where k is a constant.
We can use this equation to find the value of k when x=32 and y=137
32*137 = k
4384 = k
Now that we know the value of k, we can find the value of y when x=92.
92*y = 4384
y = 4384/92
y = 41.89
Therefore, the answer is c) 41.89.
Inverse proportion: Two quantities are inversely proportional if their product is constant. This means that if we increase one quantity, we must decrease the other quantity by the same amount in order to keep the product constant.
Solving for k: We can solve for k by substituting the known values of x and y into the equation xy=k. In this case, we have x=32 and y=137, so we get:
32*137 = k
4384 = k
Finding y when x=92: Now that we know the value of k, we can find the value of y when x=92 by substituting these values into the equation xy=k. We get:
92*y = 4384
y = 4384/92
y = 41.89
Therefore, the answer is c) 41.89.
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Please hurryyyyy !!!! What's the slope and y intercept of 4y = 2x - 12
Answer:
slop is 0.5 and intercept of y is -3
Answer:
½ is the slope,-3 is the intercept
Step-by-step explanation:
now to find the slope and intercept
we use the equation,
y=mx + c
where m is the slope
and c is the y intercept
so we compare 4y=2x-12 to the equation
but we first have to make y the subject of the equation in the question – 4y is already the subject –
y=2x-12/4
y=2x/4 -3
comparing...
we see that m is 2/4=½ c= -3
Factor completely 4x2 − 8x + 4. A Prime B 4x(x2 − 2x + 1) C 4(x2 − 2x + 1) D 4(x2 + 4)
Answer:
4 ( x-1)^2
Step-by-step explanation:
4x^2 − 8x + 4.
Factor out the greatest common factor
4( x^2 -2x+1)
Factor inside the terms
4( x-1) (x-1)
4 ( x-1)^2
Answer:
4(x-1)(x-1)
4(x^2-2x+1) C
Step-by-step explanation:
4x^2 − 8x + 4 common factor 4
4(x^2-2x+1)
4(x-1)(x-1) or (4x-4)(x-1)
-2x(6x^4 -7x^2 +x-5 in standard form pls
Answer:
-12x^5 + 14x^3 -2x^2 + 10x
Step-by-step explanation:
-2x(6x^4 -7x^2 +x-5) =
-12x^5 + 14x^3 -2x^2 + 10x
Solve for m.D:
D (9x-44)
X =
(6x+7)
Answer:
m∠D = 109
Step-by-step explanation:
This is a parallelogram.
In parallelograms, the opposite interior angles are congruent, so we can write the following equation to find, first value x the measure of m∠D:
9x - 44 = 6x + 7
Transfer like terms to the same side of the equation.9x - 6x = 7 + 44
Add/subtract.3x = 51
Divide both sides by 3x = 17
Now we can calculate measure of m∠D:
m∠D = 9x - 44
Rewrite equation using the value we found for x.9×17 + 44 = 109
What value of x is in the solution set of 2(3x - 1) = 4x - 6?
0-10
0 -5
--3
Answer: The answer is 0.
Step-by-step explanation:
2(3x-1) = 4x
6x-2 = 4x
-2 = -2x
0 = x