A $52 video game is advertised for 20% off
If sales tax is 6%; how much will the
video game cost?
Answer:
Equation: 52+(52•.20) that is the first part for your answer you should get 10.4 or $10.40. Then you would take 52-10.4=41.60 then keeping that number in mind you do 41.60• .06 and get, rounded, 2.50. Then you would add 41.60+2.50 and get $44.10 as your answer . I hope I could help
Step-by-step explanation:
(2/3 - 3/4 × 1/8) ÷ (2/3 - 3/4 + 5/8)
[tex]( \frac{2}{3} - \frac{3}{4} \times \frac{1}{8} ) \div ( \frac{2}{3} - \frac{3}{4} + \frac{5}{8} )[/tex]
Solution:First, solve the brackets.
First bracket:
[tex]( \frac{2}{3} - \frac{3}{4} \times \frac{1}{8} )[/tex]
[tex] = \frac{55}{96} [/tex]
Second bracket:
[tex]( \frac{2}{3} - \frac{3}{4} + \frac{5}{8} )[/tex]
[tex] = \frac{13}{24} [/tex]
Then divide.
[tex] \frac{55}{96} \div \frac{13}{24} [/tex]
[tex] = \frac{55}{52} \: or \: 1\frac{3}{52} [/tex]
answer:
as improper fraction= 55/52
as mixed fraction= 1 3/52
hope this helps
25° 35° to 205° circle
Answer:
x = 60
Step-by-step explanation:
the chord- chord angle x is half the sum of the measures of the arcs intercepted by the angle and its vertical angle.
The sum of the arcs in a circle = 360° , then
intercepted arc = 360° - (35 + 25 + 205)° = 360° - 265° = 95°
then
x = [tex]\frac{1}{2}[/tex] (95 + 25 ) = [tex]\frac{1}{2}[/tex] × 120 = 60
For Which distributions is the median the best measure of center?
Select each correct answer
Answer: 6, 6, 9 and 25
Step-by-step explanation:
bbringingbbringingout the data's from the graph and arrangementsarrangingarrangingarrangementsarrangingarranging them serially that's from smallest to biggest biggest, then selecting the middle number if the number of entire entries is an odd number but if it's an even number you take the average of the two middle number
Make sure your answer is in
degrees. You should be able to
find this without a calculator.
-
cos ¹(cos 43°) = [? ]°
Answer:
[tex]\cos^{-1}( \cos 43^{\circ}) = 43^{\circ}[/tex]
Step-by-step explanation:
The correct answer of the given function [tex]cos^{-1}[/tex] (cos 43°) will be 43°.
What is a trigonometric function?The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.
It will be possible to comprehend the graphs, domains, differentiation, and integration of the four quadrants' trigonometric functions.
The trigonometric function is only valid for the right angle triangle and it is 6 functions which are given as sin cos tan cosec sec cot.
We know that the inverse trigonometric function of any function will vanish.
[tex]cos^{-1}[/tex] (cos 43°) = 43° cos inverse has vanished with cos and thus 43° is coming out to be the answer.
For more information about the trigonometric function
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this net can be folded to make a square pyramid. what is the surface area of the pyramid
Answer:
[tex]85in^2[/tex]
Step-by-step explanation:
to find the surface area we need to find the followng areas:
area of the square area of a triangle and multiply it by 4 (because there are 4 triangles)And once we have those areas, we add them to find the surface area.
Area of the square:
the formula to find the area of a square is:
[tex]a_{square}=l^2[/tex]
where [tex]l[/tex] is the length of the side: [tex]l=5in[/tex]
thus the area of the square is:
[tex]a_{square}=(5in)^2[/tex]
[tex]a_{square}=25in^2[/tex]
Area of the triangles:
the are of 1 triangle is given by
[tex]a_{triangle} =\frac{b*h}{2}[/tex]
where [tex]b[/tex] is the base of the triangle: [tex]b=5in[/tex] (the base of the triangle is the side of the square)
and [tex]h[/tex] is the height of the triangle: [tex]h=6in[/tex]
thus, the area of 1 triangle is:
[tex]a_{triangle} =\frac{(5in)*(6in)}{2}[/tex]
[tex]a_{triangle} =\frac{30in^2}{2}[/tex]
[tex]a_{triangle} =15in^2[/tex]
the area of the 4 triangles is (we multiply by 4):
[tex]a_{4-triangles}=4(15in^2)[/tex]
[tex]a_{4-triangles}=60in^2[/tex]
finally we add the area of the square and the area of the 4 triangles to find the total surface area:
[tex]Surface=25in^2+60in^2[/tex]
[tex]Surface=85in^2[/tex]
(Look at image) Need help for question 6. Tried looking into it but still failed. I couldn’t understand what the question was asking me so I need some help asap by tomorrow.
Also do not mind the other answers. Those were already answered by epic people (thanks again)
Answer:
For 4 its 6 due to having 0 INCHES for 6 days (The answer to number 6 which is what your looking for is 1 12/8 simplify that and It'd be 2 1/2)
Step-by-step explanation:
This is because adding up the total rain falls will get you to 2 1/2
polynomials ( math )
pls help
Answer:
f(x) = x¹² + 4
Step-by-step explanation:
Degree 12:
This means that one of the terms needs to be raised to the power of 12. The term should be a variable. Therefore, a term you can use is x¹².
2 Terms:
This means there should be 2 separate entities in the expression. These terms are non-combinable unless you input an "x" value. The 2 terms you could use for this expression are x¹² and a constant.
Constant:
Constants are numbers that are not beside any variables. In other words, they are not being multiplied to the "x" value. The constant you could use is (4).
Putting all of these together, one of the many expressions that could satisfy the prompt is f(x) = x¹² + 4.
find (a) the arc length and (b) the area of a sector.
Answer:
a) 23.56 ft (2 dp)
b) 58.90 ft² (2 dp)
Step-by-step explanation:
Formula
[tex]\textsf{Arc length}=r \theta[/tex]
[tex]\textsf{Area of a sector}=\dfrac{1}{2}r^2 \theta[/tex]
[tex]\quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in radians)}[/tex]
Calculation
Given:
[tex]\theta=\dfrac{3 \pi}{2}[/tex] r = 5 ft[tex]\begin{aligned}\implies \textsf{Arc length} & =r \theta\\& = 5\left(\dfrac{3 \pi}{2}\right)\\& = \dfrac{15}{2} \pi \\& = 23.56\: \sf ft\:(2\:dp)\end{aligned}[/tex]
[tex]\begin{aligned} \implies \textsf{Area of a sector}& =\dfrac{1}{2}r^2 \theta\\\\ & = \dfrac{1}{2}(5^2) \left(\dfrac{3 \pi}{2}\right)\\\\& = \dfrac{25}{2}\left(\dfrac{3 \pi}{2}\right)\\\\ & = \dfrac{75}{4} \pi \\\\& = 58.90 \: \sf ft^2\:(2\:dp)\end{aligned}[/tex]
HELP ASAP PLEASEE
Circle X with a radius of 6 units and circle Y with a radius of 2 units are shown. Circles X and Y are shown. Circle X has a radius of 6 units and circle Y has a radius of 2 units. Which steps would prove the circles similar?
-Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 4.
- Translate the circles so the center of one circle rests on the edge of the other circle, and dilate circle Y by a scale factor of 4.
-Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 3.
-Translate the circles so the center of one circle rests on the edge of the other circle, and dilate circle Y by a scale factor of 3.
Answer & step-by-step explanation:
to arrive at the similarity, the transformation must be as follow:
the small circle will be dilated for a specific scale factor,
the radius of X circle is R= 6, and the radius of the small circle is r = 2
besides, two circles are similar if and only if R = r, (their radius ar equal)
therefore r = 2*k = 6, and from where k = 6 / 2 = 3 units
the answer is
Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 3.
Answer:
Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 3.
Step-by-step explanation:
To prove circles are similar:
Translate the circles so that they share a common center point. (The circles are now concentric as they have the same center).
Dilate the smaller circle to increase its size to coincide with the larger circle. The amount that the circle needs to be dilated by is the scale factor.
As the radius of circle Y is 2 and the radius of circle X is 6, determine the scale factor by dividing the larger radius by the smaller radius:
scale factor = 6 ÷ 2 = 3
Solution:
Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 3.
By the way, you forgot to give us the image:
question 12. write the product using exponents
Find the ratio of the trig function indicated.
Answer:
[tex]\huge\boxed{\bf\:Ratio = 4:5}[/tex]
Step-by-step explanation:
We have a right angled triangle given.
At first, let's note that, sin θ = oppposite side of the triangle / hypotenuse of the triangle.
Now, in the given triangle, from the view of ∠θ,
Opposite side of the triangle = 8 Hypotenuse = 10Then,
[tex]\sin \theta = \mathrm{\frac{opposite \: side}{hypotenuse}}\\\sin\theta = \frac{8}{10}\\\sin\theta = \frac{4}{5}\\\\\\\Longrightarrow \boxed{\mathrm{Ratio = 4:5}}[/tex]
[tex]\rule{150pt}{2pt}[/tex]
what is the volume of a cylinder with a radius of 5
and a height of 12
Answer:
300pi
Step-by-step explanation:
the formula for volume of a cylinder is pi3^2h
So pi * (25) * 12
300 pi.
If you forget the formula, remember circle area is pir^2 and multiplying that by the height will raise the circle's area, giving us volume.
A doctoral student wants to determine the relationship between steps per minute and the time it takes to walk 100 feet in
minutes. Thirty trials are completed and the correlation coefficient between steps per minute and time in minutes is determined
to be -0.543. Therefore, fewer steps per minute were related to longer time spans. How is the correlation affected if the units for
time are changed from minutes to seconds? (3 points)
The correlation and time measurement would change proportionally to one another.
The correlation would increase because changing the units for time would result in an increase in time values.
It is impossible to determine the amount of change experienced by the correlation.
The correlation would decrease because only the units for one of the variables changed.
The correlation would stay the same because the change in units for time would have no effect on it.
Using correlation coefficients, it is found that that the correct option is given as follows:
The correlation would stay the same because the change in units for time would have no effect on it.
What is a correlation coefficient?It is an index that measures correlation between two variables, assuming values between -1 and 1.If it is positive, the relation is positive, that is, they are direct proportional. If it is negative, they are inverse proportional.If the absolute value of the correlation coefficient is greater than 0.6, the relationship is strong.The correlation coefficient does not have units, hence if the units of the measures is changed, the coefficient remains constant, which means that the correct option is given by:
The correlation would stay the same because the change in units for time would have no effect on it.
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*PLSSSS HELP WILL GIVE 30 POINTS I'M DESPERATE*
What type of number is -6?
Select *ALL* correct answers
_integer _irrational
_rational _whole
_natural _real
Answer:
rational real whole
Step-by-step explanation:
The graph of which equation is shown below?
Please answer quickly!!!
According to a survey, 15% of city workers take the bus to work. donatella randomly surveys 10 workers. what is the probability that exactly 6 workers take the bus to work? round the answer to the nearest thousandth.
The probability that exactly 6 workers take the bus to work is 0.001
How to determine the probability?The given parameters are:
Sample size, n = 10Required sample = exactly 6Probability of success, p = 15%The probability that exactly 6 workers take the bus to work is calculated using the following binomial expression
[tex]P(x) = ^nC_x * p^x * (1 - p)^{n - x{[/tex]
So, we have:
[tex]P(6) = ^{10}C_6 * (15\%)^6 * (1 - 15\%)^4[/tex]
Evaluate the expression
P(6) = 0.001
Hence, the probability that exactly 6 workers take the bus to work is 0.001
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a plant grew 3 1/4 inches over a - 6 1/2 month period. what was the average
Answer:
0.5 inches per a month
Step-by-step explanation:
you turn them to a decimal to make them easier and then divide them to get the answer.
Rewrite the radical expression as an exponential expression, and then simplify.
StartRoot 121 EndRoot = one-half (121) = 60.5
StartRoot 121 EndRoot = 121 squared = 14,641
StartRoot 121 EndRoot = 121 Superscript one-half Baseline = 11
StartRoot 121 EndRoot = 121 Superscript one-half Baseline = 60.5
The radical expression written as an exponent, and simplified, is given by:
[tex]\sqrt{121} = (121)^{\frac{1}{2}} = 11[/tex].
How to transform an exponent to a power?It happens according to the following rule:
[tex]a^{\frac{n}{m}} = \sqrt[m]{a^n}[/tex]
The inverse is also valid, hence, in this problem, the expression written as an exponent and simplified is given by:
[tex]\sqrt{121} = (121)^{\frac{1}{2}} = 11[/tex].
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What is the unfilled volume inside the cylinder? 320π cubic units 597π cubic units 640π cubic units 725π cubic units
The unfilled volume inside the cylinder is determined as 640π cubic units.
Volume of the cylinder
The volume of the cylinder is determined as follows;
V = πr²h
where;
r is radius of the cylinder given as 8 unitsh is height of the cylinder determined as 15 unitsV = π(8²)(15)
V = 960 π cubic units
Volume of coneV = ¹/₃πr²h
where;
r is radius of the cone given as 8 unitsh is slant height of the cone determined as 15 unitsV = ¹/₃π(8)²(15)
V = 320 π cubic units
Unfilled volume of the cylinderΔV = 960 π - 320 π = 640 π cubic units
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Answer:
It’s C
Step-by-step explanation:
i got a 100% on my quiz so trust me
ur wlcm :)
NEEED HELPppppppppppp
PLSSSSS
Answer:
probably the furthest graph to the left.
Step-by-step explanation:
seems like a 25% 10% split.
Bob is throwing a party. He has 22 pints of soda. At the end of the party, there are 8
pints of soda.
How many cups of soda were drank during the party?
Answer:
14
Step-by-step explanation:
If Bob has 22 pints, and one glass is one pint, the 22-8 = 14
Answer:
14
Step-by-step explanation:
you would subtract 8 pints of soda left from the total pints which is 22 to get 14 pints used during the party
22-8=14
Find the slope of the line that passes through (6,9) and (9,5)
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]
Find the slope of the line that passes through (6, 9) and (9, 5).
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}\diamond[/tex]
[tex]\boxed{\\\begin{minipage}{3cm}\xrightarrow {slope\:formula\:below} \\ $\displaystyle\frac{y_2-y_1}{x_2-x_1}$ \\ \end{minipage}}}[/tex]
Substitute 5 for y₂, 9 for y₁, 9 for x₂ and 6 for x₁:-
[tex]\boxed{\frac{5-9}{9-6}}[/tex]
On simplification,
↬ [tex]\boxed{\frac{-4}{3}}[/tex]
►So we conclude that the slope of the line is
►[tex]\boxed{-\frac{4}{3}}[/tex] ◀︎
Good luck.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
question 16. You sent an email to 8 friends. They each forwarded the email to 8 friends, and those friends each forwarded the email to 8 friends. The chain of emails is represented by the expression 8+8²+8³. How many people were sent your email.
Answer:
584
Step-by-step explanation:
8 + 8 squared + 8 cubed is 8 plus 64 plus 512 which is 584
Part 2: Approximately what value of will give her a box with the greatest volume? Explain your reasoning.
( only need part 2 already have part one thx)
The value of x that gives the box the greatest volume is approximately 2.08
How to determine the value that gives the greatest volume?The equation of the volume of the box is given as:
V(x) = x(12 - 2x)(13 - 2x)
Expand
V(x) = (12x - 2x^2)(13 - 2x)
V(x) = 156x - 24x^2 - 26x^2 + 4x^3
V(x) = 156x - 50x^2 + 4x^3
Differentiate the function
V'(x) = 156 - 100x + 12x^2
Set to 0
156 - 100x + 12x^2 = 0
Rewrite as:
12x^2 - 100x + 156 =0
Divide through by 4
3x^2 - 25x + 39 =0
Using a graphing calculator, the values of x are:
x = 2.08 and x = 6.26
Substitute these values of x in V(x)
V(2.08) = 2.08 * (12 - 2 * 2.08)(13 - 2 * 2.08) = 144.16
V(6.26) = 6.26 * (12 - 2 * 6.26)(13 - 2 * 6.26) = -1.56
The volume cannot be negative.
So, we have:
V(2.08) = 144.16
Hence, the value of x that gives the box the greatest volume is approximately 2.08
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What is the range of the function graphed below?
Picture has the stuff
Answer:
∝ < y < 2
Step-by-step explanation:
The range is negative infinity to 2.
What is the arc length of ACB?
Answer:
C. 82.43
Step-by-step explanation:
acb's angle is 315 degrees because
360 - 45 = 315
arc length is in radians
arc length is radius times (angle times (pi÷180))
arc length is 15 times (315 times (pi÷180))
arc length is 82.43
cuemathcomgeometry
evaluate the equation of 3 x 10^-2
Answer:
0.03
Step-by-step explanation:
the first thing you would do in this equation is to deal with the exponent
a negative exponent puts the number under 1
1/10^2
10^2 is also 100
1/100
3 * 1/100 is 3/100 so that is your answer
3/100 is also 0.03
Answer: [tex]\frac{3}{100}[/tex] or 0.03
Step-by-step explanation:
3×[tex]10^{-2}[/tex]
3 × [tex]\frac{1}{100}[/tex]
⇒ [tex]\frac{3}{100}[/tex]
⇒ 0.03
Find the least positive integer that has a remainder of 2 when you divide by 5, a
remainder of 5 when you divide by a 8, and a remainder of 8 when you divide by 11.
When you divide 12 by 5, the remainder is 2. When you divide 37 by 8, the remainder is 5. When you divide 30 by 11, the remainder is 8.
What is a quotient?The term quotient refers to the number that is obtained when you divide a number by another.
When you divide 12 by 5, the remainder is 2. When you divide 37 by 8, the remainder is 5. When you divide 30 by 11, the remainder is 8.
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pls help with this question asap
Answer:
30 ft
Step-by-step explanation:
Perimeter
= 3 + 4 + 4 + 7 + 4 + 4 + 4
= 30 ft.