The average rate of change (slope) is 579.875 if, in 2009, there were 12,078 Burger King restaurants; in 2017, there were 16,717 Burger King restaurants.
What is the slope?
The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have:
In 2009, there were 12,078 Burger King restaurants; in 2017, there were 16,717 Burger King restaurants.
The slope:
[tex]\rm m =\dfrac{16717-12078}{2017-2009}[/tex]
m = 4639/8
m = 579.875
Thus, the average rate of change (slope) is 579.875 if, in 2009, there were 12,078 Burger King restaurants; in 2017, there were 16,717 Burger King restaurants.
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can you do this because it is confusion the thing is y=mx+c
y=[tex]\frac{1}{2}[/tex]x+0.5
Hope it helps!
Find the perimeter of a rectangle whose leath in 223 and width is 3/2. Find the perimeter of a rectangle whose leath in 223 and width is 3/2 .
Answer:
449 units
Step-by-step explanation:
Perimeter of a rectangle = 2(a+b)
= 2(223+3/2)
=449 units
What is the ratio of the weight of two castings that weigh 32 lbs. and 38 lbs
Answer:
16 : 19
Step-by-step explanation:
Given weights of the two castings : 32 lbs and 38 lbs respectively.
Now,
Ratio of the weights of the two castings ;
= 32 : 38
= 16 : 19
32:38
16:19
Answer:
this is my answer
What is the period of this graph?
Answer:
Look at the pic for answer.
Step-by-step explanation:
GUYS PLEASE HELP WITH THIS PLEASE
Examine how sounds of music are related to trigonometric functions.
What does change of amplitude do? How about frequency?
Using graphs and equations, represent multiple transformations explaining their relevancy to the sound wave
Trigonometry functions is often employed in taking the measurement of the level or the pitch of a sound wave or musical note.
The change of amplitude of a sound wave's amplitude is linked to the change in pressure that occurs due to the wave measured at a given location.
Frequency tells the number of waves that pass a fixed location in a specific time frame.
How does sound waves relate to trigonometric functions?Sound engineers uses the basic laws of trigonometry via sine and cosine graphs.
Note that all sounds can be broken down into a lot of sine waves, as sine waves comes together to form sounds.
Therefore, Trigonometry functions is often employed in taking the measurement of the level or the pitch of a sound wave or musical note.
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144% of what number is 54?
Answer:
37.5
Step-by-step explanation:
37.5×144/100=54 the number is 37.5
The domain of the piecewise function is (-infinity,infinity).
a. Graph the function.
b. Use your graph to determine the function's range.
f(x) =
3x if x≤0
3 if x>0
Answer:
The condantrnirte will be 3x if x is 0 (underfined)
Step-by-step explanation:
Please help me answer this question
Answer:
Z = sin(xy)
[tex]\frac{1}{y} \times \frac{\partial Z}{\partial x} =\cos \left( xy\right) =\frac{1}{x} \times \frac{\partial Z}{\partial y}[/tex]
Find domain and range of
f(x) = -x2 - 4x + 2
Answer:
domain is all reals
Step-by-step explanation:
sorry I couldn't find the range
What is the product of the reciprocal of 6 and the reciprocal of 7?
Answer:
The answer is 1/42 as you take reciprocal of 6=(1/6) and reciprocal of 7=(1/7) and multiply.
Answer:
[tex]\boxed {\frac{1}{42}}[/tex]
Step-by-step explanation:
Reciprocal of 6 : 1/6
Reciprocal of 7 : 1/7
Their product :
1/6 × 1/71/42What is the approximate value of x in the diagram below? (Hint: You will need to use one of the trigonometric ratios given in the table.) sin 40° cos 40° 50° 0.643 0.766 0.839 tan 40° 90°
Answer:
x is approximately 20.89
Step-by-step explanation:
cos(40°) = 16/x
x cos(40°) = 16
x = 16 / cos(40°) = 16/.766 = 20.89
The approximate value of x in the diagram is,
⇒ x = 20.77
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Now, We can formulate by the given figure;
⇒ sin 50° = 16 / x
⇒ 0.77 = 16 / x
⇒ x = 16 / 0.77
⇒ x = 20.77
Thus, The approximate value of x in the diagram is,
⇒ x = 20.77
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What is the product?
- 6(x²-1)-8(x+1)
O 6(x-1)²
O 6(x²-1)
O(x + 1)(6x-1)
O(x-1)(6x - 1)
Answer: C
Explanation:i got it right on my test
The volume of a cylinder is given by the formula V = 3.14rh, where r is the radius of the cylinder and h is the height. Suppose a cylindrical can has radius (x+8) and height (2x+3). Which expression represents the volume of the can?
O (pi)x^3 + 19(pi)x^2 + 112(pi)x + 192(pi)
O 2(pi)x^3 + 35(pi)x^2 + 80(pi)x + 48(pi)
O 2(pi)x^3 + 35(pi)x^2 + 176(pi)x + 192(pi)
O 4(pi)x^3 + 44(pi)x^2 + 105(pi)x + 72(pi)
The expression which represents the volume of the cane will be 2(pi)x^3 + 35(pi)x^2 + 176(pi)x + 192(pi)
The most fundamental of curvilinear geometric forms, a cylinder has historically been a three-dimensional solid. From a geometric perspective, it may be compared to a prism with a circle as its basis.
Given the volume of a cylinder is given by the formula V = 3.14r^2h, where r is the radius of the cylinder and h is the height and suppose a cylindrical cane has radius (x+8) and height (2x+3)
We have to find expression which represents the volume of the cane
So as per given,
r = x+8
h = 2x + 3
v = πr²h
v = π(x+8)²(2x+3)
v = π(x²+64+16x)(2x+3)
v = π(2x³+128x+32x²+3x²+192+48x)
v = π(2x³+35x²+176x+192)
v = π2x³+π35x²+π176x+π192
Hence the expression which represents the volume of the cane will be 2(pi)x^3 + 35(pi)x^2 + 176(pi)x + 192(pi)
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A chopstick model of a catapult launches a marshmallow in a classroom. The path of the marshmallow can be modeled by the quadratic y=−0.07x2+x+2.2,
where y represents the height of the marshmallow, in feet,
and x represents the horizontal distance from the point it is launched, in feet.
When the marshmallow hits the ground, what is its horizontal distance from the point where it was launched?
The horizontal distance from the point where it was launched is 7.143.
We have given that,
The path of the marshmallow can be modeled by the quadratic y=−0.07x^2+x+2.2,
x represents the horizontal distance from the point it is launched, in feet.
What is the horizontal distance?Horizontal distance means the distance between two points measured at a zero percent slope.
(1) Put x = 7.143 in given equation
y= -0.07(7.143)^2+7.143+2.2
y= 2.2
y= 5.771
We have to determine the what is its horizontal distance from the point where it was launched.
The value of x is called horizontal distance.
Therefore the horizontal distance from the point where it was launched is 7.143.
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curved surface area of a cone = Trl, where r is the
radius and is the slant height.
The cone below has a slant height of 23 cm and a
diameter of 6 cm.
Work out the curved surface area of the cone.
Give your answer to the nearest integer and remember
to give the correct units.
6 cm
23 cm
Not drawn accurately
The curved surface area of the cone is 144 cm².
What is the curved surface area?A cone is a three-dimensional object that consists of a circular base and an vertex.
curved surface area = πrl
Where:
r = radius = diameter / 2 = 6/2 = 3 cm l = slant heightπ = 3.143.14 x 3 x 23 = 144 cm²
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PLEASE HELP
If k and r are constants, the graph of y = (x-r)²(x - k)4 does which of the following?
A)Passes through the x-axis at k and 'bounces off' the x-axis at r
B)Bounces off' the x-axis at r and k
C)Passes through the x-axis at r and 'bounces off the x-axis at k
D)Passes through the x-axis at r and k
Answer:
D
Step-by-step explanation:
Passes through the x-axis at r and k
Yolanda invests $30,000 in an account that offers a compound interest rate of 7.9% per year. Which of the following is the correct equation for how much Yolanda will have in year 10?
The correct option will be Option D: [tex]P_{10} =30000(1+0.079)^{10[/tex]
The compounds interest can be estimated by using the following formula
[tex]A =P(1+r/n)^{nt[/tex]
where
A: the final amount
P: the initial investment
r: the interest rate (in decimal)
n: the number of times the interest will be compounded per year
t: the time (in year)
Given in the problem that
the initial investment is $30,000 and the time period is 10 years,
so P=30000 and
t=10
As we know The interest will be compounded one time per year
n=1.
now for converting the interest rate into decimal form, we will divide the rate of interest by 100.
r=7.9/100
⇒r=0.079
putting above values in the above formula
[tex]A =P(1+r/n)^{nt[/tex]
⇒ [tex]A =30000(1+0.079/1)^{(1)(10)[/tex]
⇒ [tex]A =30000(1+0.079)^{10[/tex]
⇒[tex]P_{10} =30000(1+0.079)^{10[/tex]
Therefore correct option is Option D: [tex]P_{10} =30000(1+0.079)^{10[/tex]
By completing the above equation to find the total amount
[tex]P_{10} =30000(1+0.079)^{10[/tex]
⇒[tex]P_{10} =30000(1.079)^{10[/tex]
⇒[tex]P_{10} =64170.54[/tex]
Yolanda will have to pay $64,170.54 in her account after ten years.
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Which represents a quadratic function?
f(x) = 2x³ + 2x² - 4
f(x) = -7x²-x+2
f(x)=-3x + 2
f(x) = 0x² + 3x-3
Option B is correct, the function f(x) = -7x² - x + 2 represents a quadratic function
What is quadratic equation?A quadratic function is a polynomial function of the form f(x) = ax² + bx + c, where a, b, and c are constants and a is not equal to zero.
f(x) = -7x² - x + 2 is a quadratic function because it is of the required form.
Specifically, it has a quadratic term (-7x²), a linear term (-x), and a constant term (2).
The other three functions do not have a quadratic term and thus are not quadratic functions.
f(x) = 2x³ + 2x² - 4 is a cubic function because it has a cubic term (2x³).
f(x) = -3x + 2 is a linear function because it has only a linear term (-3x) and a constant term (2).
f(x) = 0x² + 3x - 3 is also a linear function because it has no quadratic term and only a linear term (3x) and a constant term (-3).
Hence, the function f(x) = -7x² - x + 2 represents a quadratic function
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pleaseee answer people good at math
Car averages x miles per gallon means that 1 gallon is enough to drive 36 miles.
We are asked to find average miles per gallon (miles/gallon) --> average miles per gallon would be total miles driven divided by total gallons used (miles/gallon).
Total miles driven is 10+50=60.
As a car averages 25 miles per gallon in the city for 10 miles in the city it will use 10/25=0.4 gallons
What is the average value?
A data set, the arithmetic mean, also known as arithmetic average, is a measure of the central tendency of a finite set of numbers: specifically, the sum of the values divided by the number of values.
As a car averages 40 miles per gallon on the highway for 50 miles on the highway it will use
50/40=1.25 gallons;
So average miles per gallon equals to
[tex]=\frac{10+50}{0.4+1.25}\\=36[/tex]
Therefore option D is correct.
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In the standard Normal distribution, which z-score represents the 99th percentile?
Find the z-table here.
–3.00
–2.33
2.33
3.00
Picture posted below
The Z- score representing the 99th percentile is given by 2.33
Problems of commonly distributed samples can be solved using the z-score formula.
For a set with a standard deviation, the z-score scale X is provided by:
Z = ( x- mean )/ standard deviation
Z-score measures how many standard deviations are derived from the description. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the scale is less than X, that is, the X percentage. Subtract 1 with p-value, we get the chance that the average value is greater than X.
To Find the z-result corresponding to P99, 99 percent of the normal distribution curve.
This is the Z value where X has a p-value of 0.99. This is between 2.32 and 2.33, so the answer is Z = 2.33
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Which expression is equivalent to...
Answer: the fourth one
Step-by-step explanation:
Answer:
D.) 8x¹²y³
Step-by-step explanation:
When an expression is raised to a power, you have to raise everything in the expression to the power when simplifying. This includes the coefficients and variables. When a variable already raised to a power is raised to another power, the powers are multiplied.
Therefore,
2³ = 8
(x⁴)³ = x⁴*³ = x¹²
(y)³ = y³
Combined, the final answer is 8x¹²y³.
3. A cylindrical tank has a radius of 15 feet and a height of 45 feet. How many cubic feet of water can the tank hold?
A. 127,170 cu. ft.
B. 31.792.5 cu. ft.
C. 675 cu. ft.
D. 15,896.25 cu. ft.
Answer: 31.792.5 cu. ft. (choice B)
=================================================
Work Shown:
[tex]V = \pi*r^2*h\\\\V \approx 3.14*15^2*45\\\\V \approx 31,792.5 \text{ cubic feet}\\\\[/tex]
The result is approximate since [tex]\pi \approx 3.14[/tex] is approximate.
[tex]\huge\underline{\red{A}\green{n}\blue{s}\purple{w}\pink{e}\orange{r} →}[/tex]
B. 31.792.5 cu. ft.Step-by-step explanation:
Given,Radius (r) = 15 feet
Height (h) = 45 feet
Volume = ?
therefore,Volume of a cylinder = π × r² × hTaking π ≈ 3.14..
V = 3.14 × 15² × 45
V = 31,792.5 cu. feet
So, the cylindrical tank can hold upto 31,792.5 cu. feet of water..
___________________________Hope it helps you!!a number is tripled and then increased by four. the result is seventy-nine. what is the original number?
Answer:
3x+4=79
Step-by-step explanation:
3x+4=79
3x=79-4
3x=75
Divide both sides by three
3x/3 = 75/3
x=25
Therefore the original number is 25.
Hope it helps.✨✨
What is the answer to the question
Answer:
180 cm squared
Step-by-step explanation:
Area Of A Rectangle is Length times Width, so 20 times 9, which equals 180.
Which expression can be used to find the difference of the polynomials?
The expression that can be used to find the difference of the polynomials is (4m - 5) + ( -6m + 7 - 2n). D
How to find the difference
Given the expression:
(4m - 5) - (6m - 7 + 2n)
Note that - * - = +
+ * - = -
So in finding the difference, we have
(4m - 5) - ( 6m + 7 - 2n )
It could as be written as
(4m - 5) + ( -6m + 7 - 2n)
Therefore, the expression that can be used to find the difference of the polynomials is (4m - 5) + ( -6m + 7 - 2n) . D
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If a soup recipe yields 20 gallons, how many 5 fluid ounce portions will the recipe yield?
The total number of 512 portions will be made the recipe that contains 5 fluid ounces each.
The soup recipe gives 20 gallons.
As we know one gallon produces 128 fluid ounces.
There are 20 gallons produced.
So the number of fluid ounces produced will be 20*128= 2560
Given in the question each portion contains 5 fluid ounces.
Then there is a total of 2560 numbers of fluid ounces.
So the number of portions will be = number of fluid ounces/ number of fluid ounces in each portion= 2560/5= 512
Therefore the total number of 512 portions will be made the recipe that contains 5 fluid ounces each.
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What is the product?
3.[1 -4 5-7]
Answer:
-26
Step-by-step explanation:
Multiply -4 by 7
1-20-7
Subtract 20 from 1
-19-7
Subtract 7 from -19
-26
Can you do this because it is confusing the thing is y=mx+c and also it is not 1/2x+0.5
Step-by-step explanation:
there must be no confusion just put x= 0 u get y=0.5 which is true according to graph and also put x=2 you get y = 1.5 which is again satisfy by the graph so it is 1/2x+0.5
Answer:
y = 1/2 x + 1/2
Step-by-step explanation:
I think your answer is not wrong but if the math program won't accept it, check these two things:
Make sure the x is beside the 1/2 and is not interpreting it as the x on the bottom with the 2 which is wrong.
Also, usually we don't put a mix of decimals and fractions. So change that .5 to a 1/2. I know what you have is equivalent, but just the norms dictate how to write it. Maybe it is just some tiny detail as these two details. Please don't be confused, you aren't wrong.
Use the property of real numbers to write the expression 2/5 x (-7)x 5/2
The simplified form of the expression 2/5 x (-7)x 5/2 would be -7.
How to solve the expression?When two fractions are multiplying each other, the numerator of both fractions multiplies each other, likewise the denominator of both fractions respectively.
Use the property of real numbers to write the expression
[tex]\dfrac{2}{5} \times (-7) \times \dfrac{ 5}{2}\\\\\dfrac{10}{10} \times (-7) \\\\-7 \times 1\\\\= -7[/tex]
Therefore, The simplified form of the expression would be -7.
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the volume of a cube depends on the length of its sides.this can be written in function notation as v(s). what is the best interpretation of v(4) =64
Answer:
Interpretation: A cube with sides of 4 units each has a volume of 64 units³.
Explanation:
As v(s) represents the volume of the cube, s represents the length of the sides.
∴ v(4) represents the volume of a cube with sides of units, and the volume is 64 units³
