Answer:
$72.45
Step-by-step explanation:
Add the amounts of the manicure and pedicure together: 28 + 35 = 63
Then find 15% of $63. You will need to find the decimal equivalent of 15%. To do this, divide 15 by 100 or move it two decimal places to the right: 15/100 = 0.15
Now, multiply total of the manicure and pedicure, 63, by 0.15: 63 x 0.15 = 9.45
$9.45 will be her tip. To find the total amount Skylar payed, add the tip to the amount spent on the mani/pedi: 63 + 9.45 = 72.45
Skylar will pay $72.45
Hope this helps!
Final answer:
To calculate Skylar's total payment including a 15% tip for her manicure and pedicure, add the cost of both services ($63) and then calculate the tip ($9.45). The total payment is $72.45.
Explanation:
The student's question involves calculating the total cost of a service which includes both a tip and the original prices of the services purchased - in this case, a manicure and a pedicure. To find how much Skylar will pay after tipping 15%, we first need to calculate the total cost of the services before the tip.
Firstly, we add the cost of the manicure ($28) and the pedicure ($35) to get the total cost before the tip:
Manicure = $28Pedicure = $35Total cost before tip = Manicure + Pedicure = $28 + $35 = $63Next, we calculate the amount of the tip by multiplying the total cost by the tip percentage (which we convert from 15% to a decimal by dividing by 100):
Tip percentage = 15%Tip as a decimal = 15% / 100 = 0.15Tip amount = Total cost before tip × Tip as a decimal = $63 × 0.15 = $9.45Finally, we add the original total cost to the tip to find the final amount Skylar will pay:
Final total cost = Total cost before tip + Tip amount = $63 + $9.45 = $72.45So, Skylar will pay $72.45 in total for her manicure and pedicure including a 15% tip.
This is an angle having a measure greater than 90° and up to 180°.
Answer:
obtuse
Step-by-step explanation:
Answer:
Obtuse Angle
Step-by-step explanation:
Obtuse Angle:
An obtuse angle is greater than 90 and less than 180, therefore it's a obtuse angle.
The lengths of sides of a right triangle are 16 meters, 30 meters, and 34 meters. The triangle is dilated by a scale factor of 4,5. How many meters long is the hypotenuse of the new triangle?
Answer:
16mt + 30 mt
Step-by-step explanation:
your welcome!
Mohamed and Li Jing were asked to find an explicit formula for the sequence -5, -25, -125, -625,....
Mohamed said the formula is g(n) = -5.5", and
Li Jing said the formula is g(n) = -5.50 -1.
Which one of them is right?
Answer:
Li Jing's formula i.e. [tex]\boxed{g_n=-5\cdot \:5^{n-1}}[/tex] is right.
Step-by-step explanation:
Considering the sequence
[tex]-5,\:-25,\:-125,\:-625,...[/tex]
A geometric sequence has a constant ratio r and is defined by
[tex]g_n=g_0\cdot r^{n-1}[/tex]
[tex]\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\quad \:r=\frac{g_{n+1}}{g_n}[/tex]
[tex]\frac{-25}{-5}=5,\:\quad \frac{-125}{-25}=5,\:\quad \frac{-625}{-125}=5[/tex]
[tex]\mathrm{The\:ratio\:of\:all\:the\:adjacent\:terms\:is\:the\:same\:and\:equal\:to}[/tex]
[tex]r=5[/tex]
So, the sequence is geometric.
as
[tex]\mathrm{The\:first\:element\:of\:the\:sequence\:is}[/tex]
[tex]g_1=-5[/tex]
[tex]r=5[/tex]
so
[tex]g_n=g_1\cdot r^{n-1}[/tex]
[tex]\mathrm{Therefore,\:the\:}n\mathrm{th\:term\:is\:computed\:by}\:[/tex]
[tex]g_n=-5\cdot \:5^{n-1}[/tex]
Therefore, Li Jing's formula i.e. [tex]\boxed{g_n=-5\cdot \:5^{n-1}}[/tex] is right.
For f(x) = 4x+1 and g(x)=x^2-5 find (f + g)(x).
(f + g)(x) is x² + 4x - 4
Step-by-step explanation:
Step 1:
Given f(x) = 4x + 1, g(x) = x² - 5. Find (f+g)(x)
(f + g)(x) = f(x) + g(x) = 4x + 1 + x² - 5 = x² + 4x - 4
what does 0.1 X 9670 and 0.01 X 9670 equal to?
Answer:
See explaination
Step-by-step explanation:
Multiply 9670 by 0.1, you get 967
Multiply 9670 by 0.01, you get 96.7
On a winters day, the average temperature during the daytime is 40°F. At night the temperature falls to 24°F. What is the percentage decrease?
Answer:
40%
Step-by-step explanation:
so first we can calculate what percentage of 40 24 is
we can do that with 24/40 which equals 0.6, or 60 percent
100-60
that means that there was a 40 percent decrease.
1. Find the inverse functions of the following
a. f (x) = 5x +3
Answer:
y = 5x + 3
x = 5y + 3
5y + 3 = x
5y = x - 3
y = x/5 - 3/5
f^-1(x) = x/5 - 3/5
Step-by-step explanation:
1 hundeedth+3 tenths= ? hunderdth
Answer:
0.31
Step-by-step explanation:
one hundredth is 0.01 and 3 tenths would be 0.3 so just add those two together :)
Choose the expression that represents a cubic expression.
−7x + 14
7x2 − 5x + 6
8x3 − 7x2 − 6x + 5
9x4 + 8x3 − 6x2 − 2x + 11
Answer: 8x³ - 7x² - 6x + 5
Step-by-step explanation:
8x³ - 7x² - 6x + 5 is a cubic expression.
The variable is x
The variable x has highest power as 3.
8x³ - 7x² - 6x + 5 is a polynomial.
-7x + 4 is a linear expression because highest power of the variable x is 1.
7x² - 5x + 6 is a quadratic expression because the highest power of the variable x is 2.
9x^4 + 8x^3 - 6x^2 - 2x + 11 is a polynomial with the highest power of the variable being 4.
The expression that represents a cubic expression is 8x³ − 7x² − 6x + 5, as it contains the highest power of x raised to 3, making it a cubic polynomial.
A cubic expression is a type of polynomial with the highest degree term being raised to the power of 3. In mathematical terms, it is represented as f(x) = ax^3 + bx^2 + cx + d, where 'a' is the coefficient of the cubic term, 'b' is the coefficient of the quadratic term, 'c' is the coefficient of the linear term, and 'd' is the constant term.
Among the options provided:
- −7x + 14 is a linear expression as it contains only a single degree term (degree 1).
- 7x² − 5x + 6 is a quadratic expression as it contains a term with x^2 (degree 2).
- 8x³ − 7x² − 6x + 5 is indeed a cubic expression as it contains a term with x^3 (degree 3).
- 9x⁴ + 8x³ − 6x² − 2x + 11 is a quartic expression with the highest power of x being 4 (degree 4).
Therefore, the expression that represents a cubic expression is 8x³ − 7x² − 6x + 5, as it has the highest power of x equal to 3. Cubic expressions often appear in various mathematical and scientific contexts, including physics, engineering, and economics, and are characterized by their distinctive "S"-shaped curves on graphs.
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Find equation that the model below represents
Answer:
5/6
Step-by-step explanation:
Español
Amy received a $90 gift card for a coffee store. She used it in buying some coffee that cost $8.64 per pound. After buying
the coffee, she had $55.44 left on her card. How many pounds of coffee did she buy?
Answer:
4 pounds
Step-by-step explanation:
8.64(4) is 34.56+55.44=90
Answer:
Amy bought 4 pounds of coffee.
Step-by-step explanation:
To begin, subtract what she has left, $55.44, from what she began with with, $90. That equation looks like: 90 - 55.44 = 34.56
Now divide $34.56 by the cost of each pound of coffee, $8.64. That equation looks like: 34.56 ÷ 8.64 = 4
So your answer is 4. Amy bought 4 pounds of coffee.
6yd 7yd 3yd Find the volume of this rectangular pyramid.
Answer: The volume is 126 yards
Step-by-step explanation:
Answer:
the answer is 128
Step-by-step explanation:
first, i did 6x7 and got 42
then, i muutiplied 42 and 3 and got 128
thank me
Simplify the expression where possible.
(t^9)^-8
[tex]( {t}^{9} ) {}^{ - 8} \\ = t {}^{9 \times ( - 8)} \\ = {t}^{ - 72} [/tex]
Final answer:
The expression simplifies to [tex]1/t^72[/tex] by using exponent rules to multiply the exponents and then applying the rule for negative exponents.
Explanation:
To simplify the expression [tex](t^9)^-8[/tex] , you need to use the exponent rules.
Specifically, when you have a power raised to another power, you multiply the exponents.
Here, you have the base t raised to the 9th power, and then that result is raised to the -8th power.
The rule is: [tex](a^m)^n = a^(m*n).[/tex]
Applying this rule here gives us:
[tex]= (t^9)^-8[/tex]
[tex]= t^(9*-8)[/tex]
[tex]= t^-72.[/tex]
Since we are dealing with a negative exponent, the rule for negative exponents says that [tex]a^-n = 1/a^n.[/tex]
Therefore, our final simplified expression is [tex]1/t^72.[/tex]
What figure is a dilation of Figure A by a factor of 12?
Answer:
Option C is correct.
Step-by-step explanation:
The rule of dilation implies that when a figure is dilated by a scale factor of 1/2, the length of the sides of the image can be obtained by multiplying the sides of the original figure/object by 1/2.
For example, if the length of a side of a segment is 6 and is dilated by a scale factor of 1/2. The length of the image segment will be 6/2 or 3/2. i.e. the original length 6 of the segment is multiplied by 1/2 to get the image segment 3/2.
Other important thing to consider is when the scale factor to be multiplied is less than 1, than the image will be smaller, but if the scale factor to be multiplied is greater than 1, than the image will be larger.
Now, coming towards the question and lets dilate the sides of the figure A by a scale factor of 1/2.
The length of the side 5 in will have its image with length 2.5 in.i.e. 5/2= 2.5
The length of the side 2 in will have its image with length 1 in.i.e. 2/2 = 1
The length of the side 4 in will have its image with length 2 in.i.e. 4/2 = 2
The length of the side 1 in will have its image with length 0.5 in.i.e. 1/2 = 0.5
Therefore, option C is correct.
Use the set of data to calculate the measures that follow.
0, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 6
Choose each correct measure.
Mean =
Median =
Range =
Interquartile range =
Answer:
Mean=3.5Median=3.5Range=6Interquartile=1Step-by-step explanation:
Given set of data is 0, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 6
To find Mean , Median , Range and Interquartile range :First finding Mean
[tex]Mean=\frac{sum of the observations}{number of observations}[/tex][tex]=\frac{0+2+3+3+3+3+3+4+4+4+4+5+5+6}{14}[/tex][tex]=\frac{49}{14}[/tex][tex]=\frac{7}{2}[/tex][tex]=3.5[/tex]Therefore Mean=3.5Median:Since the number of observations is even, so the meadian becomes [tex]Median=\frac{sum of the two mid terms}{2}[/tex][tex]=\frac{3+4}{2}[/tex][tex]=\frac{7}{2}[/tex][tex]=3.5[/tex]Therefore Median=3.5Range:Range=greatest value-least valueIn the given observations we have greatest value is 6 and least value is 0Therefore Range=6-0Therefore Range=6Interquartile:From the observations we have [tex]Q_1=3[/tex] and [tex]Q_3=4[/tex][tex]Interquartile=Q_3-Q_1[/tex][tex]=4-3[/tex]Therefore Interquartile=1Answer:
Mean: 3.5
Median: 3.5
Range: 6
Interquartile range: 1
Step-by-step explanation:
Lee saves $85.75. She uses $32.95 of the money to buy a baseball glove. She also wants to buy a camera that costs $58.99. How much more money does Lee need?
Answer:
6. 19
Step-by-step explanation:
Answer:
6.19
Step-by-step explanation:
85.75-32.95=52.8
58.99-52.8=6.19
What is the horizontal asymptote of the rational function f(x) = 3x / (2x - 1)?
Answer:
Step-by-step explain
Find the horizontal asymptote for f(x)=(3x^2-1)/(2x-1) :
A rational function will have a horizontal asymptote of y=0 if the degree of the numerator is less than the degree of the denominator. It will have a horizontal asymptote of y=a_n/b_n if the degree of the numerator is the same as the degree of the denominator (where a_n,b_n are the leading coefficients of the numerator and denominator respectively when both are in standard form.)
If a rational function has a numerator of greater degree than the denominator, there will be no horizontal asymptote. However, if the degrees are 1 apart, there will be an oblique (slant) asymptote.
For the given function, there is no horizontal asymptote.
We can find the slant asymptote by using long division:
(3x^2-1)/(2x-1)=(2x-1)(3/2x+3/4-(1/4)/(2x-1))
The slant asymptote is y=3/2x+3/4
Answer:
y = 3/2.
Step-by-step explanation:
This is the ratio of the coefficients of the terms in x of highest degree of the function:
y = 3/2.
397,864 to the nearest thousand
Answer:
398,000 is your answer.
Step-by-step explanation:
you round up at the 1000s place
The number 397,864 rounded to the nearest thousand is 398,000.
Explanation:
Rounding 397,864 to the nearest thousand means finding the closest whole number that is a multiple of 1,000. The thousands place digit is 7, so we look at the digit to the right of it, which is 8. Since 8 is greater than 5, we round up the thousands place digit to 8, and the rest of the digits become zeros. Therefore, 397,864 rounded to the nearest thousand is 398,000.
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Can u help me with my homework please it is a little bit harder then I thought
The distance around the pool is 43.96 m.
Solution:
The distance across the circle is diameter.
The distance around the circle is circumference.
The value of π = 3.14
Diameter of the circle = 14 m
Circumference of the circle = πd
= 3.14 × 14 m
Circumference of the circle = 43.96 m
The distance around the pool is 43.96 m.
Write the equation of a line in slope-intercept form whose slope is 6 and y-intercept is -7
Answer:
y = 6x - 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 6 and c = - 7, thus
y = 6x - 7 ← equation of line
Final answer:
The equation of the line with a slope of 6 and y-intercept of -7 is y = 6x - 7.
Explanation:
The equation of a line in slope-intercept form is y = mx + b, where m represents the slope and b is the y-intercept. In this case, we are given a slope (m) of 6 and a y-intercept (b) of -7. Thus, by substituting these values into the slope-intercept formula, we get the equation of the line as y = 6x - 7.
What is subtracting fractions from mixed numbers for grade 4
Answer:
see below
Step-by-step explanation:
So when you have mixed numbers, you have to turn them into regular fractions. How you change them into regular fractions is multiplying the whole number by the denominator (the bottom number in the fraction) and then adding that number to the numerator (the top number in the fraction). So, for example you have
3[tex]\frac{2}{3}[/tex]
3 x 3 = 9
9 + 2 = 11
so, 3[tex]\frac{2}{3}[/tex] = [tex]\frac{11}{3}[/tex]
After you change the mixed fractions that you have into normal fractions, then you can normally subtract the two fractions. If they have the same denominator, then you just subtract the numerators like normal numbers and leave the denominators alone.
[tex]\frac{11}{3}[/tex] - [tex]\frac{2}{3}[/tex] = [tex]\frac{9}{3}[/tex]
If there are different denominators, then you have to multiply one or more fractions by any number so that both fractions have the same denominator.
For example,
[tex]\frac{11}{3}[/tex] - [tex]\frac{7}{6}[/tex]
you have to multiply [tex]\frac{11}{3}[/tex] by two, so that the denominator will equal six. This is the only way that you will be able to add or subtract the two fractions.
2([tex]\frac{11}{3}[/tex]) = [tex]\frac{22}{6}[/tex]
[tex]\frac{22}{6}[/tex] - [tex]\frac{7}{6}[/tex] = [tex]\frac{22-7}{6}[/tex] = [tex]\frac{15}{6}[/tex]
Then, if you are asked to, this fraction can be simplified if you divide both the denominator and the numerator by [tex]\frac{3}{3}[/tex], so
[tex]\frac{15}{6}[/tex] divided by [tex]\frac{3}{3}[/tex] is equal to [tex]\frac{5}{2}[/tex].
This works because [tex]\frac{3}{3}[/tex] = 1.
What percent of 320 is 64
Answer: If you are using a calculator, simply enter 64÷320×100 which will give you 20 as the answer.
Step-by-step explanation: Hope it helps:)
and tryna mark a child brainlest ;)
Answer:
20%
Step-by-step explanation:
64/320=0.2
0.2*100=20%
two friends bought a $14 pizza. Each person bought their own drink. The total cost of the food can be represented by the expression $2x + $14. What expression represents the cost of food for one person
The expression representing the cost of food for one person is $x + $7.
For the expression that represents the cost of food for one person if two friends bought a $14 pizza, and each person bought their own drink at $2x (where x is the number of drinks).
To find the cost for one person, we start with the total cost expression $2x + $14. Since there are two friends, we divide this total cost by 2. The expression for the cost of food for one person is $x + $7. This represents the individual cost of one person's drink at $2x, divided by 2, plus half of the pizza cost, which is $14 divided by 2, resulting in $7.
How many digits are in a phone number including the area code
Answer:
11 digits
Step-by-step explanation:
x-xxx-xxx-xxxx
Counting these x's they would be 11. (if living in U.S.A)
The area code has 3 numbers. The first section has 3. Last section has 4. 6+4=10
There are 10 digits in a phone number.
Calculate y' using chain rule. y = (e ^ (1 / x))/(x ^ 2)
Answer:
The answer is [tex]y^{'} =e^{\frac{1}{x} } (2x-1)[/tex]
Step-by-step explanation:
First of all, we have product of 2 functions [tex]e^{1/x}[/tex] and [tex]x^{2}[/tex]
[tex]y^{'} =u\frac{dv}{dx}+v\frac{du}{dx}[/tex]
Let [tex]u=e^{1/x}[/tex] and [tex]v=x^{2}[/tex]
using chain rule for [tex]u[/tex], [tex]\frac{du}{dx}=-\frac{1}{x^2}[/tex]
and [tex]\frac{dv}{dx}=2x[/tex]
Therefore,
[tex]y^{'} =u\frac{dv}{dx}+v\frac{du}{dx}=e^{1/x}(2x)+x^{2} (-\frac{1}{x^2})=e^{1/x}(2x-1)[/tex]
Explain the steps you could use to solve 3y+6=30 to find y.
Answer:
y = 8
Step-by-step explanation:
remove the constant, 6:
3y=24
divide both by 3. leave x by itself
3y/3=24/3
y = 8
do these steps and you can do these easily
The solution to the equation 3y + 6 = 30 is y = 8.
To solve the equation 3y + 6 = 30 and find the value of y, we need to isolate the variable y on one side of the equation by performing various operations. Here are the steps to solve the equation:
Step 1: Begin with the given equation:
3y + 6 = 30
Step 2: Subtract 6 from both sides of the equation to move the constant term to the other side:
3y + 6 - 6 = 30 - 6
3y = 24
Step 3: Divide both sides of the equation by 3 to isolate the variable y:
(3y)/3 = 24/3
y = 8
Step 4: Verify the solution by substituting the value of y back into the original equation:
3(8) + 6 = 30
24 + 6 = 30
30 = 30
Since the equation is true, we can conclude that the solution to the equation 3y + 6 = 30 is y = 8. By performing the necessary operations, we successfully isolated the variable y and found its value that satisfies the original equation.
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whats the mean in 4, 8, 3, 9, 5
Answer:
The mean/average is 5.8
Step-by-step explanation:
The mean is the average
Step 1: Find the average
4 + 8 + 3 + 9 + 5
29 / 5
5.8
Answer: The mean/average is 5.8
A softball pitcher has a 0.42 probability of throwing a strike for each pitch. If the softball pitcher throws 20 pitches, what is the probability that exactly 7 of them are strikes?
Round your answer to three decimal places.
Answer: 0.15
Step-by-step explanation:
7 (0.42)/ 20
Identify the angle relationships in the table.
Answer:
4 & 8 = Corresponding Angles | 6 & 7 = Linear Pair | 1 & 3 = Vertical Angles | 2 & 8 = Alternate Interior Angles
Step-by-step explanation:
Marvin Martian, Aly Alien, and Hank Human are all looking for a hidden spaceship. Their probabilities of
finding the spaceship first are as follows:
P(Marvin wins) = 30%
P(Aly wins) = 0.2
P(Hank wins)
Put the following events in order from least to most likely.
Aly wins
Hank wins
Marvin wins
Answer: Aly , Marvin, Hank
Step-by-step explanation:
Aly has the lowest with 20, Marvin has 30, and hank has 50. it says least to mostly likely to win
The question pertains to probabilities. It has been determined that the most probable event is either Hank winning or Marvin winning, and it's least likely for Aly to win.
Explanation:The question is regarding the probability of three individuals, Marvin Martian, Aly Alien, and Hank Human, finding a hidden spaceship first. We know the probabilities of Marvin and Aly finding it first but the probability of Hank finding it is not given.
However, from the properties of probability, we know that the sum of the probabilities for all possible outcomes is 1. Therefore, if we add the probabilities of Marvin and Aly finding the spaceship first, we get 0.30(30%) + 0.2(20%) = 0.5(50%). We then subtract this from 1 to get Hank's probability, which is, therefore, 1 - 0.5 = 0.5(50%).
So, in order from least to most likely: Aly wins (0.2 or 20%), then Hank and Marvin are equally likely to win (0.5 or 50% each).
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