We have been given that Vivian's insurance company pays for 80% of her foot surgery, after she pays a $500 deductible. We have been given that her surgery costs $9600 and we need to find how much will Vivian have to pay for her surgery.
Since we know that the insurance company will pay any amount after Vivian has paid $500. Therefore, the remaining amount after Vivian pays $500 as deductibles will be $9600 - $500 = $9100.
Now we know that Vivian's insurance company will pay 80% of this amount, therefore, Vivian will have to pay the 20% of $9100 in addition to the $500 she already paid.
20% of $9100 is [tex]9100\cdot \frac{20}{100} = \$1820[/tex]
Therefore, the total amount that Vivian pays for surgery is $500 + $1820 = $2320.
Therefore, the first choice given is the right answer.
Using radicals, write an equivalent expression for 2 1/3
The equivalent expression of [tex]2^{\frac{1}{3} }[/tex] in radical forms is ∛2
What are radicals?Radical are expression that uses a root, such as square root, cube root . They are numbers represented in radical symbols.
Therefore,
[tex]2^{\frac{1}{3} }[/tex] in radical form can be represented as follows:
Using indices rule
[tex]a^{\frac{1}{b} } = \sqrt[b]{a}[/tex]
Therefore,
[tex]2^{\frac{1}{3} } = \sqrt[3]{2}[/tex]
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Given: rectangle ABCD is similar to rectangle ZBXY.
If BA=8, BC=12 and the perimeter of rectangle BXYZ is 20, find BX.
a.) 3
b.) 4
c.) 5
d.) 6
Answer:
The answer is D. 6
Step-by-step explanation:
Sathish is going on a 200020002000-kilometer road trip with two friends. The car consumes 666 liters of gas for every 100100100 kilometers, and gas costs \$1.20$1.20dollar sign, 1, point, 20 per liter.If Sathish and his two friends want to split the cost evenly, how much should they each pay?\$
A class of 24 students was asked to identify a team spot in which they have participated. Their responses are shown in the line plot.
a. How many total responses are recorded in the line plot for the five sports?
b. What is the total number of students polled?
c. Give a possible explanation as to why the answers of part (a) and (b) are different.
WILL GIVE BRAINLIEST
Use a calculator to find the mean and standard deviation of the data. Round to the nearest tenth.
946, 726, 956, 519, 104, 415, 428, 457, 614, 201, 772, 801
A. mean = 566.5; standard deviation = 261.9
B. mean = 578.3; standard deviation = 261.9
C. mean = 578.3; standard deviation = 68572.4
D. mean = 566.5; standard deviation = 68572.4
Answer:
mean is 578.3 deviation 261.9
Step-by-step explanation:
it took Otis 6 hours to travel to the Grand Canyon. along the way he took 18 minutes to get gasoline and 53 minutes to eat. how much time did Otis spend driving?
What is the area of a circle with a radius is of 6 inches?
What is the surface area of a cone with diameter 28 cm and height 22 cm in terms of pi?
a. 196 pi cm^2
b.365 pi cm^2
c.561.1 pi cm^2
d.2202.8 pi cm^2
The surface area of a cone with diameter 28 cm and height 22 cm in terms of pi is:
c. 561.1 pi cm²
Step-by-step explanation:The diameter of cone= 28 cm
Radius of cone is half the diameter this means that:
Radius(r) of cone= 14 cm
Also, height(h) of cone= 22 cm
We know that the surface area of cone is given by:
[tex]Surface\ Area=\pi r(r+\sqrt{h^2+r^2})[/tex]
Now as we know the value of h and r hence we will substitute these values in the formula to get:
[tex]Surface\ Area=\pi \times 14(14+\sqrt{(14)^2+(22)^2})\\\\\\Surface\ Area=14\pi (14+26.07681)\\\\\\surface\ Area=14\pi\times 40.07681\\\\\\Surface\ Area=561.07534\pi cm^2[/tex]
Hence, the surface area of cone is: 561.1π cm²
Assume that the original claim is true, and follow the directions given. what is the truth value of the claim you wind up with? all people who win lotteries are people who get lots of mail. (find the contrapositive, then convert.)
TIMED, anyone know the answer?
On a history test, Rasha scored 40 points on the essay portion. In addition to the essay, there were multiple-choice questions worth three points each. Which expression represents Rasha’s total points if she answered p multiple-choice questions correctly?
A. 3 + 40p
B. 3 + p + 40
C. 40-3p
D. 40 + 3p
The expression that represents the situation is 40 + 3p.
The correct option is D.
What is a linear equation?Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.
The essay is worth 40 points and each correctly answered multiple-choice question is worth 3 points.
If Rasha answered p multiple-choice questions correctly, she would earn a total of 40 + 3p points.
Therefore, the correct expression is D.
40 + 3p.
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How do find the measure of side a?
The measure of side a is 14.
We have,
We use the trigonometric identites:
Sin function
Now,
Sin A = Perpendicular / Hypotenuse
Sin 34 = a / 25
0.56 = a / 25
a = 0.56 x 25
a = 14
Thus,
The measure of side a is 14.
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What is the value, after 7 years, of a 2014 mustang that was originally 25,000.00, if it depreciates at a rate of 8% per year??
The estimated answer would be =14000
if f(x) and it’s inverse function, f-1(x) are both plotted on the same coordinate plane, what is their point of intersection?
By using basic property of inverse function we got that if f(x) and it’s inverse function are both plotted on the same coordinate plane, then their point of intersection is (3,3)
What is function ?Function is relation between a set to another set with a property that every element of first set has a unique image in second set.
Here graph of f(x) is given and we have to find the point of intersection of function and it's inverse function
We know that a function and it's inverse function are mirror image of each other with respect to line y=x hence they intersect only at y=x line
By drawing y=x line with the given graph we got that f(x) intersect y=x line at (3,3) hence inverse function will intersect at (3,3)
By using basic property of inverse function we got that if f(x) and it’s inverse function are both plotted on the same coordinate plane, then their point of intersection is (3,3)
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When the graph of a function and its inverse function are plotted on the same coordinate plane, the point of intersection is the point where the two graphs intersect. Therefore, the point of intersection is (x, y).
Explanation:When the graph of a function and its inverse function are plotted on the same coordinate plane, the point of intersection is the point where the two graphs intersect.
Let's say the point of intersection is (x, y).
This means that both f(x) and f-1(x) have the same x-coordinate, which is x, and the same y-coordinate, which is y.
Therefore, the point of intersection is (x, y).
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A wedsite charges a fixed amount for each song download.If you can download six songs for $4.68,then how much would it cost to download ten song?
By determining the cost per song, which is $0.78, we can calculate that downloading ten songs from the website would cost $7.80.
Explanation:To determine the cost to download ten songs, we first need to calculate the cost per song. We are given that six song downloads cost $4.68. By dividing this total cost by the number of songs, we find the cost per song:
Cost per song = Total cost for six songs / Number of songs
= $4.68 / 6
= $0.78 per song
Now, to find the cost of ten songs, we multiply the cost per song by ten:
Total cost for ten songs = Cost per song * Number of songs
= $0.78 * 10
= $7.80
Therefore, it would cost $7.80 to download ten songs from the website.
Find the value of x and y
Answer:
B. [tex]x=62[/tex]; [tex]y=30[/tex]
Step-by-step explanation:
We have been given two similar triangles. We are asked to find the value of x and y for the given triangles.
[tex]\Delta SWK\sim \Delta EBT[/tex]
We know that the measure of corresponding angles of two similar triangles are equal.
[tex]m\angle S=m\angle E[/tex]
[tex]m\angle W=m\angle B[/tex]
[tex]m\angle K=m\angle T[/tex]
[tex]110=2x-14[/tex]
[tex]2x-14=110[/tex]
[tex]2x-14+14=110+14[/tex]
[tex]2x=124[/tex]
[tex]\frac{2x}{2}=\frac{124}{2}[/tex]
[tex]x=62[/tex]
[tex]m\angle S=m\angle E[/tex]
[tex]40=m\angle E[/tex]
Using angle sum property, we will get:
[tex]m\angle E+m\angle B+m\angle T=180[/tex]
[tex]40+y+110=180[/tex]
[tex]y+150=180[/tex]
[tex]y+150-150=180-150[/tex]
[tex]y=30[/tex]
Therefore, option B is the correct choice.
The circle is inscribed in the triangle. Find the perimeter of the triangle.
A. 20 cm
B. 24 cm
C. 35 cm
D. 48 cm
The perimeter of the triangle will be 48 cm. The correct option is D.
What is a perimeter?A perimeter is the total length of the boundary or outer edge of a two-dimensional shape. It is the sum of the lengths of all the sides of the shape.
For example, the perimeter of a rectangle is the sum of the lengths of all four sides, while the perimeter of a circle is the distance around its circumference. The perimeter is usually measured in units such as meters, centimeters, inches, or feet, depending on the context of the problem.
Whenever we have two tangents outside the circle and they are in contact with each other, it means their lengths are the same
The perimeter of the triangle will be calculated as,
Perimeter = sum of all the sides
Perimeter = ( 11 + 11 + 7 + 7 + 6 + 6 )
Perimeter = 48 cm
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Find the product of (5.2 · 10-6) and (8 · 103).
Final answer:
To find the product of (5.2 · [tex]10^-^6[/tex]) and (8 · 10³), multiply the base numbers and add the exponents. The result is 41.6 × [tex]10^-^3[/tex], which simplifies to 4.16 × 10^-2.
Explanation:
The student asked to find the product of two numbers expressed in scientific notation: (5.2 · [tex]10^-^6[/tex]) and (8 · 10³). When multiplying numbers in scientific notation, you multiply the base numbers and add the exponents.
Step-by-Step Solution:
Multiply the base numbers: 5.2 × 8, which equals 41.6.Add the exponents of 10: (-6) + 3, which equals -3.Combine the results to express the product in scientific notation: 41.6 × [tex]10^-^3[/tex].Simplified Result:
This can further be simplified by writing 41.6 × [tex]10^-^3[/tex]as 4.16 × [tex]10^-^2[/tex], by moving one decimal place to the left in the base number and increasing the exponent by 1 to balance it.
Please help me with this
thank u soo much:)
You want to draft a four player tennis team. There are eight players to choose from. How many different teams can you form?
We want to make a 4 players team, and there are total 8 players. As we know the order of selection does not matter in a team of players, only the combination of players matters.
So we would use concept of Combinations and It will be choose 4 out of 8 players.
The formula for Combination is given as follows :-
[tex]nCr = \frac{n!}{r!*(n-r)!} \\\\ Choose \;4 \;out \;of \;8 \;players \\\\ 8C4 = \frac{8!}{4!*(8-4)!} = \frac{8!}{4!*4!} \\\\ 8C4 = \frac{8*7*6*5*4*3*2*1}{(4*3*2*1)*(4*3*2*1)} = \frac{8*7*6*5}{4*3*2*1} =\frac{1,680}{24} = 70 \;combinations[/tex]
Hence, Total number of different teams = 70 combinations.
Write an equation for a line
g(x)
perpendicular to
f(x) = 5x − 8
and passing through the point
(5, 10)
If 25 people play the game how many people do you expect to hit HHH?
Answer:
Almost 3 persons are expected to hit HHH.Step-by-step explanation:
To find the answer we must use the diagram, we see that among 8 possible results, there's one possible outcome to hit HHH.
So, to find the amount of people that are expected to hit HHH, we just have to multiply each percentage assigned to the HHH outcome:
[tex](0.7)(0.5)(0.3)=0.105[/tex]
Now, we see that a 10.5% of the people will be expected to hit HHH.
The approximate number of people would be:
[tex]25(0.105) \approx 3[/tex]
Therefore, almost 3 persons are expected to hit HHH.
Which set of numbers includes only whole numbers?
Which linear expression is a factor of the polynomial function f(x) = x3 + 2x2 − x − 2? x − 2 x + 2 x + 3 x − 3
A culture started with 3,000 bacteria. After 7 hours, it grew to 3,300 bacteria. Predict how many bacteria will be present after 17 hours. Round your answer to the nearest whole number. P=Ae^kt
Answer:3,780
i need help with number 2 please p
determine the amount of an investment if $400 is invested at an annual interest rate of 7.25% for 7 years. round to the nearest penny.
Find the slope of the line that passes through the pair of points. (4, 8), (8, 11)
Paul took out a 2-year loan for $1450 at a computer retailer to be paid back with monthly payments at an 18% APR, compounded monthly. If the loan offers no payments for the first 4 months, about how much in total will Paul pay in interest for the loan?
How to find amplitude and period from equation?
Final answer:
The amplitude of a wave is the coefficient A in the equation y(x, t) = A sin(kx - ωt + φ), and the period T can be calculated using T = 2π/ω, where ω is the angular frequency. Additional properties like wavelength and speed can be found using related equations involving the wave number and frequency.
Explanation:
To find the amplitude and period from the equation of a wave, look at the standard form of a sinusoidal wave function, which is generally y(x, t) = A sin(kx - ωt + φ). Here, the amplitude can be directly read from the equation as the coefficient A, which represents the maximum displacement from the rest position. As for the period, it can be derived from the angular frequency using the formula T = 2π/ω, where T is the period and ω is the angular frequency.
The wavelength (λ) and speed (v) of the wave can also be determined from the properties of the wave. The wavelength is related to the wave number by the equation λ = 2π/k, and the speed can be calculated if the frequency (f) is known, using the equation v = λf.
For example, if the amplitude is provided as 30 V/m and the frequency is given as 2.0 MHz, the period (T) would then be 5.0 × 10-7 s based on the relationship between frequency and period, T = 1/f.