Answer:
2 hours 110
Step-by-step explanation:
if y=7 when x=-4, find y when x=2
equation y= ?
solution y= -14
Value of y is -14
According to the expressions "" and "y is inversely proportionate to x," y decreases as x increases or vice versa. There are two translations for this idea. The constant of proportionality, k, sometimes known as yx = k, or y = k/x (they are essentially identical though.)
Therefore, in order to solve for either y or x in the future using the knowledge provided, we must first determine the constant k.
As y varies inversely as x
then,
[tex]y=k/x\\\7=k/-4\\\k=-28[/tex]
To find the value of y at x =2
[tex]y=k/x\\\y=-28/2\\\y=-14[/tex]
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write the following as unit rate 1200 words to 40 minutes
Answer:
30 Units
Step-by-step explanation:
1200 units ÷ 40
40 units ÷ 40
=
30 units
1 unit
=
30 units
unit
= 30 units per unit
subtract the sum of 9t*3-3t+8 and t*2-8t+4 from the sum of 12t+8 and t*2 - 10t +3.
Answer:
[tex]-9t^3+13t-1[/tex]
Step-by-step explanation:
Answer is attached.
x² -2(x-y), for x = 7 and y = 4
The value of given expression for x = 7 and y = 4 is 43
In this question, we have been given an expression x² -2(x - y)
We need to find the value of given expression for x = 7 and y = 4
x² -2(x - y)
= 7² -2(7 - 4)
= 49 - 2(3)
= 49 - 6
= 43
Therefore, the value of given expression for x = 7 and y = 4 is 43
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Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options.
x2 + (y – 3)2 = 36
x2 + (y – 5)2 = 6
(x – 4)² + y² = 36
(x + 6)² + y² = 144
x2 + (y + 8)2 = 36
The equation of circle that have diameter of 12 cm is x2+(y-3)2=36
What is equation of circle?
The standard equation of a circle is given by:
(x-h)2 + (y-k)2 = r2
Where (h, k) is the coordinates of center of the circle and r is the radius.
Given, diameter = 12 cm
radius = 6 cm
Hence, center is on y-axis hence, x = 0
the point we get (h,k) =(0,3)
Put in equation we get
x2+(y-3)2=36
which is equation of circle.
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The triangle above is a right triangle with side lengths a = 7 in., b = 24 in., and c = 25 in. Which statement is true? A. The sum of the squares of the two smaller sides is equal to the third side. B. The difference between the squares of the two smaller sides is equal to the square of the third side. C. The difference between the squares of the two smaller sides is equal to the third side. D. The sum of the squares of the two smaller sides is equal to the square of the third side.
Answer: D is the correct answer.
Step-by-step explanation:
The pythagoras theorum states that in a right angled triangle, the sum of the squares of the two smaller sides is equal to the square of the hypotenuse ( the largest side.)
What is the rate of change (slope) of this graph? Explain how you found the answer.
The rate of change(slope) of the graph is 7 / 5.
How to find the rate of change(slope)?The rate of change function is defined as the rate at which one quantity is changing with respect to another quantity.
The slope(rate of change) is change in the dependent variable with respect to the change in the independent variable.
The slope is rise over run.
Therefore, let's find the slope of the graph as follows:
slope = y₂ - y₁ / x₂ - x₁
Therefore, using (0, -7) and (5, 0)
slope = 0 - (-7) / 5 - 0
slope = 7 / 5
Therefore, the slope of the graph is 7 / 5.
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ryan paid $133 for 7 pizzas. how much would he have paid for 88 pizzas
Answer: 1672
Step-by-step explanation:
133 divided by 7 = 19
19 x 88 = 1672
What is the value of x?
Hint --> The two triangles add up to 180°
The value of x for the given triangle is 12.
According to the question,
We have the following information:
We have a figure of two triangles joined together and some of the angles are marked.
Now, we observe the figure carefully then the base of both triangles are parallel to each other.
Now, 45° will be the angle of triangle on right hand side because they are vertically opposite angles.
We know that the sum of three angles of triangle is 180°.
For the RHS triangle, let's take third angle to be y:
45+65+y=180
110+y =180
y =180-110
y = 70°
Now, y will be equal to (6x-2) because they are vertically opposite angles.
6x-2 = 70
6x = 70+2
6x = 72
x = 72/6
x = 12
Hence, the value of x for the triangle is 12.
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Find the volume of the figure. Round to the nearest hundredth, if necessary. (figure is not to scale)
The volume of the figure is 296 [tex]ft^{3}[/tex].
Volume of a cuboid = Length * breadth * width
Volume of figure = 4*5*2 + 4*5*2 + 4*18*3
= 40 + 40 + 216
= 296
Hence, the volume is 296 [tex]ft^{3}[/tex].
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A gardener uses a roller to flatten a bowling green of length 29 m. The roller has a diameter of 1.3 m. The gardener says the roller makes 8 full turns in travelling the length of the green. Is the gardener correct? Explain your answer.
The gardner is correct Because the total distance traveled by the roller is greater than the length of the bowling green.
What is a diameter?A diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle.
For the gardener to be correct,
8×Perimeter of the roller = Length of the bowling green
Therefore,
8πd = 29 (for the gardener to be correct)Let use first find the perimeter of the roller
P = πd....... Equation 1Where:
P = Perimeterd = diameter of the roller = 1.3 mSubstitute these values into equation 1
P = 1.3×22/7P = 4.09For 8 full rotation,
8×4.09 = 32.72 mComparing the distance for 8 revolution of the roller with the length of the bowling green,
The total distance traveled by the roller is greater than the length of the bowling green.Therefore, the gardner is correct
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Select the correct answer.
What is the completely factored form of this polynomial?
x³+3x² - 6x-18
O A. (x-2)(x − 3)(x+3)
O B. (x²-6)(x+3)
O C. (x²+3)(x-6)
O D. (x+6)(x - 1)(x+3)
(x² - 6 ) ( x + 3 ) is the completely factored form of this polynomial .
What is polynomial in maths?
Using mathematical operations like addition, subtraction, multiplication, and division, a polynomial is an equation made up of variables, constants, and exponents (No division operation by a variable). Sums of terms of the form kxn, where k is any number and n is a positive integer, make up polynomials. For instance, the polynomial 3x+2x-5. a description of polynomials. In this video, basic terms such terms, degrees, standard form, monomial, binomial, and trinomial are covered.= x³+3x² - 6x-18
= x² ( x + 3 ) - 6( x + 3 )
= (x² - 6 ) ( x + 3 )
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How many numbers less or equal to 300 are divisible by 3, 4, or both, but not by 9?
By definitions of composite numbers and prime numbers, a total of 117 whole numbers that are less or equal to 300, are divisible by 3, 4 or both, but not by 9.
How to find all numbers less or equal to 300 such that are divisible by 3 and 4 but not by 9
In this problem we must look for all composite numbers that are divisible by 3, 4 or both, but not by nine. Composite numbers are products of prime numbers, that is, whole numbers that are only divisible by themselves. The set of numbers are formed by three subsets:
Subset 1
n = 3 × x, n ≤ 300, n ≠ 9 · i, i ≥ 1
The elements of the subset are: 3, 6, 12, 15, 21, 24, 30, 33, 39, 42, 48, 51, 57, 60, 66, 69, 75, 78, 84, 87, 93, 96, 102, 105, 111, 114, 120, 123, 129, 132, 138, 141, 147, 150, 156, 159, 165, 168, 174, 177, 183, 186, 192, 195, 201, 204, 210, 213, 219, 222, 228, 231, 237, 240, 246, 249, 255, 258, 264, 267, 273, 276, 282, 285, 291, 294, 300. (67 numbers)
Subset 2
n = 4 × x, n ≤ 300, x ≠ 9 · i, i ≥ 1
The elements of the subset are 4, 8, 12, 16, 20, 24, 28, 32, 40, 44, 48, 52, 56, 60, 64, 68, 76, 80, 84, 88, 92, 96, 100, 104, 112, 116, 120, 124, 128, 132, 136, 140, 148, 152, 156, 160, 164, 168, 172, 176, 184, 188, 196, 200, 204, 208, 212, 220, 224, 228, 232, 236, 240, 244, 248, 256, 260, 264, 268, 272, 276, 280, 284, 292, 296, 300. (50 numbers)
Subset 3
n = 12 × x, n ≤ 300, n ≠ 9 · i, i ≥ 1
The elements of the subset are 12, 24, 48, 60, 84, 96, 120, 132, 156, 168, 204, 228, 240, 264, 276, 300.
There are 117 whole numbers less or equal to 300.
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Convert the decimal to a percent. 0.12573 Question 4 options: 0.0012573% 1.2573% 12.573% 12573%
Answer:
12.573%
Step-by-step explanation:
Percent means "parts per 100".
Therefore, to convert a decimal to a percent, multiply the decimal by 100.
When multiplying a decimal by a multiple of 10, simply move the decimal point to the right the same number of places as there are zeros.
Therefore, to multiply a decimal by 100, simply move the decimal point 2 places to the right.
⇒ 0.12573 × 100 = 12.573%
you are currently scheduled to work monday through friday of next week. I need you to try to assist 9 more customers per day to hit your goal for the week. i currently assist 52 customers per day. so the total of customers i assist per week would be
The total number of customers you will assist per week would be 366
Let Total number of customer you assist per week be variable "x"
We have to calculate the value of this variable now,
Given ,
you work Monday to Friday,
Total working days = 6
Number of customer you usually assist = 52 customers per day
This week to hit your goal you have to assist more customers
Number of more customer you need assist = 9 customers per day
So, Total customer you'll assist per day to hit goal = 52 + 9
=> 61 customers per day
Customer you will assist per week = customer assist per day × 6
x = 61 × 6
x = 366
Hence , you will assist 366 customers per week.
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Why the given linear function f(x) = x is called Identity Function? Justify.
It is called an identity function because the image of a domain element is identical to the range output.
Why is it called identity function?It is called an identity function because the image of a domain element is identical to the range output. As a result, an identity function translates every real number to itself. An identity function's output is the same as its input.In the context of the code in your question, an identity function is just a function that returns the same argument that was supplied to it: In mathematics, it is represented as f(x) = x.In given liner function on the Graph, domain element is identical to the range
hence the function we can call Identity Function.
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It is called an identity function because the image of a domain element is identical to the range output.
Why is it called identity function?It is called an identity function because the image of a domain element is identical to the range output. As a result, an identity function translates every real number to itself. An identity function's output is the same as its input.In the context of the code in your question, an identity function is just a function that returns the same argument that was supplied to it: In mathematics, it is represented as f(x) = x.In given liner function on the Graph, domain element is identical to the range.Hence the function we can call Identity Function.
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jared has $50 to spend on some new clothes for school. if the sales tax rate in his state is 6% the pretax total comes to $48.92, determine both the sales tax and the total due.will he have enough money to the purchases?
The sales tax is $2.935, and the total due is $51.855 ,Jared has $50 but the cost is $51.855 so he does not have enough money to the purchases.
Given:
jared has $50 to spend on some new clothes for school. if the sales tax rate in his state is 6% the pretax total comes to $48.92.
sales tax = 6% = 6/100 = 0.06.
= 0.06 * 48.92
= $2.935.
Total due = sales tax + pretax total
= $48.92 + $2.935
= $51.855
Jared has $50 but the cost is $51.855 so he does not have enough money to the purchases.
Therefore The sales tax is $2.935, and the total due is $51.855 ,Jared has $50 but the cost is $51.855 so he does not have enough money to the purchases.
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Suppose $7000 is invested at an annual interest rate of 4% compounded daily for 3 yr. What is the accumulated amount in the account at the end of the 3 yr?
The accumulated amount in the account after 3 years, if $7000 was invested is $7892.43.
What is compound interest?Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.
To calculate the the accumulated amount in the account at the end of the 3 years, we use the formula below.
Formula:
A = P(1+R/n)ⁿˣ................ Equation 1Where:
A = Accumulated amount in the accountP = PrincipalR = Raten = Number of times the interest is compounded per yearx = Number of yearsFrom the question,
Given:
P = $7000R = 4% = 0.04x = 3 yearsn = 365Substitute these values into equation 1
A = 7000(1+0.04/365)³ˣ³⁶⁵A = 7000(1.12749)A = $7892.43Hence, the accumulated amount in the account is $7892.43.
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Darbi and Su had sushi for lunch Su's Sushi was $2 more than Darbi sushi. Darbi and Su split the cost of the sushi lunch evenly and each paid at 20% tip if the cost of Su's sushi is represented by s, which of the following expressions represents the amount in dollars that each paid?
a)1.2s-1.2
b)1.8s
c)2.4s-2.4
d)0.2s-0.2
The expression that represents the amount in dollars that each paid is (a) 1.2s - 1.2.
What is the percentage?The percentage is a ratio that can be expressed as a fraction of 100.
Given that, Su's Sushi is $2 more than Darbi sushi and the cost of Su's sushi is represented by s.
Let the price of Darbi's sushi is $x.
Then, the price of Su's sushi is
s = x + 2
x = s -2
The total cost is:
x + s
= s -2 + s
= 2s -2
Since they divided the total cost evenly, the cost each paid is:
(2s-2)/2
= s -1
Now, the cost after paying a 20% tip is:
(s - 1) + 20% of (s - 1)
= s- 1 + 20(s-1)/100
= s-1 + 0.2s - 0.2
= 1.2s - 1.2
Hence, the expression that represents the amount in dollars that each paid is (a) 1.2s - 1.2.
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How many nonreal complex nineteenth roots of 1 exist?
The number of nonreal complex nineteenth roots is 1
What does it mean to have complex roots?The roots of equations that are represented as complex numbers are known as complex roots. The roots of the quadratic equations with discriminant values less than zero are fictitious or complicated. The real part and the imaginary part of the complex roots are of the type = a + ib and = c + id.
Here we have to find the nonreal complex nineteenth roots of 1
we know that nth root ⇒ n roots
Therefore,
[tex]1^{1/19}[/tex] ⇒ -1,1
[tex]-1^{19}[/tex] ⇒ -1
[tex]1^{19}[/tex] ⇒ 1
we get 1 real root exist.
The number of non real complex nineteenth roots is 1.
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Solve the equation. Leave answer(s) in exact simplified form and use a solution set to express your
answer. Show work to determine if a potential solution is extraneous.
log₂ (x+2)+log₂ (x+3)=1
The solution for the given logarithmuc function is x = -1 or x = -4.
What is a logarithmic expression?
A logarithmic equation is one that involves the logarithm of a variable-containing expression. To solve exponential equations, first, determine whether both sides of the equation can be written as powers of the same number.
Property of logarithms: log(a) + log(b) = log(ab)
The given function is
[tex]log_{2}(x+2) + log_{2}(x+3)=1[/tex]
By using the property of logarithms, we get
[tex]log_{2}(x+2) + log_{2}(x+3)=1\\\\log_2{[(x+2)(x+3)]}=1\\\\(x+2)(x+3)=2\\\\x^2+2x+3x+6=2\\\\x^2+5x+6-2=0\\\\x^2+5x+4=0\\\\(x+1)(x+4)=0[/tex]
Simplifying, we get
x = -1 (or) x = -4
Hence, the solution for the given logarithmuc function is x = -1 or x = -4.
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8(6 +4) what is the answer to this question
Answer: " 80 " ; that is, the number: "eighty."
____
Step-by-step explanation:
Note the order of operations:
PE MD AS ;
Please Excuse My Dear Aunt Sally.
____
in which:
Parentheses are the first priority; if they occur.
then:
Exponents are the second priority if they occur.
followed by:
Multiplication and
Division; if any of these occur; and the priority is from the left-hand side to the right-hand side—if they occur. So; multiplication does not necessarily take priority over division. Rather, "Multiplication and Division" are treated equally, as the "next priority", from "left to right"—as they occur/if they occur;
followed by:
Addition and
Subtraction; of any of these occur; and the priority is from the 'left-hand side to the right-hand side—if they occur. So; addition does not necessarily take priority over subtraction. Rather, "Addition and Subtraction" are treated equally, as the "next priority", from "left to right"—as they occur/if they occur.
____
So: For our given problem; we can solve:
" 8(6 + 4) " ; which is the same as:
" 8 * (6 + 4) ";
We have a "multiplication" and a "parentheses" ;
So: The "parentheses" take first priority:
____
"(6 + 4) = 10 " ;
now: " 8 * (6 + 4) " ;
= 8 * 10 = 80 ; which is our answer:
____
Alternate method:
Note the distributive property of multiplication:
→ a(b + c) = ab + ac ;
So: 8 (6 + 4) = (8*6) + (8*4) ;
= 48 + 32;
= 80 ; which is our correct answer!
____
Hope this answer was helpful to you!
Please reply if you have any questions! Wishing you well!
____
#p is invested at 10% and#q is invested at 12% . The annual income from these investment is #3800.if these investments are interchanged the annual income will be#3900. find p and q
Simplify n!/( n-1 )!
Answer: n
Step-by-step explanation: n!=(n-1)!*n
(n-1)!*n/(n-1)!=n
Given f(10)=4 , f′(10)=8 , g(10)=−1 , and g′(10)=9 , find the values of the following.
(fg)'(10)=
(f/g)'(10)=
im stumped. please help
Answer:
(fg)'(10)= 3 and the other one is 1.5
Step-by-step explanation:
fg and 10 with the 4x- 10 as the fraction of values of the followings of G-9 so its (fg)'(10)= 3 and the other one is 1.5
Which of the following is an equivalent form of the compound inequality −33 > −3x − 6 ≥ −36? Show your work.
A. −3x − 6 > −33 and −3x − 6 ≥ −36
B. −3x − 6 < −33 and −3x − 6 ≥ −36
C. −3x > −33 and −6 ≥ −36
D. −3x − 6 < −33 and −3x − 6 ≤ −36
Option (B) is the correct one and -3x - 6 < -33 and -3x - 6 ≥ −36 is an equivalent form of the given compound inequality
Given, a compound inequality
−33 > (−3x − 6) ≥ −36
Now, we can interpret the given inequality separately also,
−33 > (−3x − 6)
On simplifying, we get
-33 > -3x - 6
-33 + 6 > -3x
-27 > -3x or -3x - 6 < -33
also, (−3x − 6) ≥ −36
On simplifying, we get
-3x - 6 ≥ −36
-3x ≥ −36 + 6
-3x ≥ −30 or -3x - 6 ≥ −36
So, -3x - 6 < -33 and -3x - 6 ≥ −36 is an equivalent form of the given compound inequality.
Hence, Option (B) is the correct one and -3x - 6 < -33 and -3x - 6 ≥ −36 is an equivalent form of the given compound inequality.
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8/10 as a fraction written in thousands
8/10 as a fraction written in thousands is 8000/10000
What is equivalent form of fractions?This is a term used to refer to fractions that are equal even though they have different values in both he numerator and the denominator
Fractions are class of numbers that are of two parts the upper part is the numerator while the lower part is called the denominator.
In the given problem, 8/10
8 is the numerator10 is the denominator8/10 is an equivalent form of 8000/10000 in thousands this means that they are equal.
8/10 is shown to be equal to 8000/10000 by dividing, this reduces the fraction to 8/10. Using calculator can still show it that both numbers equal
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Use technology to find the P-value for the hypothesis test described below.
The claim is that for 12 AM body temperatures, the mean is μ> 98.6°F. The sample size is n=8 and the test statistic is
t = 1.692
P-value=
(Round to three decimal places as needed.)
Answer:
Approximately, 0.067.
Step-by-step explanation:
Now we have to find the p-function.
The excel function:
TDIST (1.021, 32, 1) = 0.1575
Context:
1.021 is the test statistic32 is the degrees of freedom1 stands for one tailed alternative hypothesisGiven from the calculations, it can be said that the P-value is equal to approximately 0.067.
One month Kaitlin rented 2 movies and 12 video games for a total of $71. The next month she rented 5 movies and 3 video games for a total of $29. Find the
rental cost for each movie and each video game.
Rental cost for each movie: $
Rental cost for each video game: $
Answer:
rental cost of each movie is $2.5
rental cost of each video game is $5.5
Step-by-step explanation:
use x for movie and y for video game. Then you get the equations
2x+12y=71 and 5x+3y=29
then you solve each equation for either x or y.
when you solve for y you will get
y = (71 -2x) / 12 and y = (29 -5x) / 3
because y is the same, you put those equations together
(71-2x) / 12 = (29 -5x) / 3
then solve for x and you get x = 2.5
then you put 2.5 for x in either of the original equations and solve for y.
for both equations you will get y = 5.5
Please answer both questions:
A container holds 5 pounds of peanuts. How many ounces of peanuts are in the container? (1 pound = 16 ounces)
Ronnie had 64 at-bat opportunities to hit the ball this spring season in baseball. He hit the ball 75% of the time. How many times did Ronnie hit the ball?
Answer:
Ounces of peanuts in the container
= 5 pounds × 16 ounces
= 80 ounces
Number of times Ronnie hit the ball
= 75% × 64 at-bat opportunities
= 48 times
