Answer: [tex]\frac{7}{32}[/tex]
Step-by-step explanation:
You want your numbers to have a common denominator which you can get by doubling both sides of the second number ([tex]\frac{1}{16} = \frac{2}{32}[/tex]).
[tex]\frac{9}{32} - \frac{2}{32} \\= \frac{7}{32}[/tex]
5 What two points are a distance of 7 units from the
point 4 on the number line?
A.
3 and 11
B.
-3 and 11
C. -3 and -11
D. 3 and -11
A cat's heart beats approximately 45 times in 15 seconds. At this rate how many times does the cat's heart beat per second?
Answer:
3 heartbeats per sec.
Step-by-step explanation:
Number of heartbeats / Total time will give the rate or number of heartbeats per sec.
15 s = 45 heartbeatsThen, 1 s = 45/15 = 3 heartbeats! (ans)candidate wants to use a combination of radio and television advertisements in her campaign. Research has shown that each 1-minute spot on television reaches 0.09 million people and that each 1-minute spot on radio reaches 0.006 million. The candidate believes she must reach at least 2.16 million people, and she must buy a total of at least 80 minutes of advertisements. How many minutes of each medium should be used to minimize costs if television costs $900/minute and radio costs $200/minute?
The number of minutes of each medium should be used to minimize costs if television costs $900/minute and radio costs $200/minute is 45 minutes and 3.33 minutes respectively.
InequalityNumber of minutes of television advertising = xNumber of minutes of radio advertising = yx ≥ 0
y ≥ 0
x + y ≤ 80
0.09x + 0.006y ≤ 2.16
From (1)
x ≤ 80 - y
Substitute into (2)0.09x + 0.006y ≤ 2.16
0.09(80 - y) + 0.006y ≤ 2.16
7.2 - 0.09y + 0.006y ≤ 2.16
7.2 - 0.084y ≤ 2.16
-0.084y ≤ 2.16 - 7.2
-0.084y ≤ -5.04
y ≤ -5.04 / -0.084
y ≤ 60
Substitute into (1)x + y ≤ 80
x + 60 ≤ 80
x ≤ 80 - 60
x ≤ 20
The number of minutes of each medium should be used to minimize costs if television costs $900/minute and radio costs $200/minute is
Television = $900 / 20
= 45 minutes
Radio = $200/60
= 3.33 minutes
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Put the equation y =x^2-8x + 12 into the form y(x-h)^2+k
Answer: y =
[tex]y = x {}^{2} - 8x + 12 \\ y = x {}^{2} - 8x + 12 + 4 - 4 \\ y = (x {}^{2} - 8x + 16) - 4 \\ y = ( x - 4)^{2} - 4[/tex]
find the domain y=1-7x/8-|3x-15|
-6+2y=10 and 6x-2y=-10
Answer:
Step-by-step explanation:
-6+2y=10
2y=10+6
2y=16
2y/2=16/2
y=8
so the final answer of first question is y=8
The next one is
6x-2y=-10
as we got from the first question y=8 so
6x-2(8)=-10
6x-16=-10
6x=-10+16
6x/6=6/6
so the final answer is 1
Subtract the quotient of 21 and 7 from 10
Answer:
Step-by-step explanation:
21 divided by 7 is 3 so 3 minus 10 is negative 7
The solution is : 7 when subtract the quotient of 21 and 7 from 10.
What is Subtraction?Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.
here, we have,
given that,
the quotient of 21 and 7
i.e. we have to divide 21 by 7
i.e. 21/7 = 3
so, we get,
the quotient of 21 and 7 is 3
now, we have to Subtract 3 from 10
i.e. 10 - 3
= 7
so, we get,
21 divided by 7 is 3 so 10 minus 3 is 7.
Hence, The solution is : 7 when subtract the quotient of 21 and 7 from 10.
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For the equation given below, evaluate y' at the point (2, 1).
2x³y - 3x² = 4
y' at (2, 1) = ??
The value of y' according to the given equation in the task content is; 1.
What is the value of y'?According to the task content, it follows that the equation given is; 2x³y - 3x² = 4y'.
On this note, the value of y' can be determined by substituting the given values of x and y as follows;
2(2)³×1 - 3(2)² = 4y'
16 - 12 = 4y'
y' = 4/4
y' = 1.
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The figure below is made of 2 rectangular prisms. What is the volume of this figure? A shape made up of two rectangular prisms. The first rectangular prism has a base that measures 9 inches length by 6 inches width, and has a height of 3 inches. The second rectangular prism sits behind the first rectangular prism. It has a base that measures 10 inches length by 7 inches width and has a height of 3 inches.
After calculating the volume of these two rectangular prisms , we have come to conclude that the total volume of two rectangular prisms is 372 in³.
What is rectangular prisms?A rectangular prism is a three-dimensional shape with six faces, all of which are rectangles (top, bottom, and lateral faces) and all pairs of opposite faces are congruent.
A rectangular prism, like all three-dimensional shapes, has volume and surface area. A cuboid is simply another name for a rectangular prism.
A rectangular prism is basically a rectangle,
so the volume = l × b × h
Volume of 1st rectangular prisms = 9 × 6 × 3
= 162 in³
Volume of 2nd rectangular prisms = 10 × 7 × 3
= 210 in³
Total volume = 162 + 210
= 372 in³
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Ciara budgeted $30 per month for entertainment. Movies cost $7 and sports games cost $5.
Let x represent the number of movies she attended in a given month and let y represent the number of sports games she attended in the same month.
What inequality models this problem?
Answer:
[tex]7x + 5y \leqslant 30[/tex]
The graph of linear function g is shown on the grid (- 8, 3) (- 3, - 4.5)
What are the coordinates of the y-intercept?
The co-ordinates of the y-intercept is (0,-9) .
Y-intercept is the point on the graph where the graph passes over the y-axis.
To calculate the y-intercept we have to graphically represent the curve and pick out the points where the graph crosses over the x-axis.
For a graph with an equation in the form y = f(x) , y intercept can be calculated by substituting the value of x as 0 in the equation.
In the graphical representation we can see that the graph passes through (- 8, 3) and (- 3, - 4.5).
Therefore the slope of the line passing through these points is given by:
[tex]m=\frac{-4.5-3}{-3-(-8)} \\\\m=\frac{-7.5}{5} \\\\m=-\frac{3}{2}[/tex]
Now the equation of the line is given by :
[tex]y-3 =- \frac{3}{2} (x-(-8))[/tex]
[tex]y-3 =- \frac{3}{2} x - 12[/tex]
[tex]y=- \frac{3}{2} x - 9[/tex]
Therefore at x = 0 , the value of y is -9.
So the y-intercept is given by the point (0,-9) .
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The coordinates of the y-intercept are ( 0 , 9 / 5 ) .
Finding equation of line :
( y - 3 ) / ( x + 8 ) = ( 3 + 4.5 ) / ( - 8 + 3 )
( y - 3 ) / ( x + 8 ) = ( 7.5 ) / ( - 5 )
- 5 y + 15 = 7.5 x + 6
- 5 y - 7.5 x + 9 = 0
Equation of line : 5 y + 7.5 x - 9 = 0
Writing equation in Slope - Intercept form
y = m x + c
y = [ ( - 7.5 x ) / ( 5 ) ] + [ 9 / 5 ]
Hence , y - intercept = 9 / 5 .
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Solve for x:
2(x-6)=14(3-9)
Answer:
x = -36
Step-by-step explanation:
Subtract 9 from 3.2(x−6)=14⋅−6
Multiply 14 by −6.2(x−6)=−84
Divide each term
Simplify the left side.
Move all terms not containing x to the right side of the equation.
x = -42 + 6
Add -42 & 6
x = -36
Find the volume of the Figure. Round your answer to the nearest tenth.CYLINDER
22 ft diameter and 5ft in height
Volume: ?ft3
Answer:
I don't know if it is correct
Step-by-step explanation:
v=πrh
v=22/7×11×5
v=22/7×55
v=172.857
v=17.
Given the relationship shown in the table, what is f(6)?
Step-by-step explanation:
f(x) , when x = 0 → f(x) = 6
So, f(0) = 6
f(x) , when x = 5 → f(x) = 7
So, f(5) = 7
f(x) , when x = 6 → f(x) = -3
So, f(6) = -3
f(x) , when x = 8 → f(x) = 10
So, f(8) = 10
The answer is A.
14 needs to be solved.
According to the solving the amount should be invested in each account should be :$500.
Interest described as:A borrower as well as deposit-taking financial organization paying interest to a lender or depositor on an amount in excess of the original payment at a specified rate. It is not the same as a fee paid by the borrower to the lender or a third party.
How do you express an interest in accounting?Debit your Interest Expense account and credit our Accrued Interest Payable account to record the accrued interest for an accounting period. This increases the value of your expenditure as well as payable accounts.
According to the given data:Let the amount invested at 5 be x.
Let the amount invested at 6% be 2000 - x.
Interest on 5% will be 0.05
Interest on 6% will be 6%(2000 - x) = 120 - 0.06x
This will be:
0.05x + 120 - 0.06x = 105
- 0.01x = -15
x = 1500
The amount invested at 6% will be:
= 2000 - 1500
= 500
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In the point-slope form of a line, y - y, = m(x- xp), the slope is represented by?
the x- coordinate of a point is represented by?
and the coordinate
of the point is represented by?
the slope is represented by m
the x coordinate of the ordered pair is x1
the y coordinate of the preferred pair is y1
y-y1=m(x-x1)
Help please!
1) rotation 90° counterclockwise about the
origin
Which of the following equations have no solutions?
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
A
-40x+40=20x+20−40x+40=20x+20minus, 40, x, plus, 40, equals, 20, x, plus, 20
(Choice B)
B
-20x+40=-20x+20−20x+40=−20x+20minus, 20, x, plus, 40, equals, minus, 20, x, plus, 20
(Choice C)
C
20x+40=40x+2020x+40=40x+2020, x, plus, 40, equals, 40, x, plus, 20
(Choice D)
D
40x+40=40x+2040x+40=40x+20
The equations which have no solution are choices A, B, C and D.
What are equations?A statement of equality between two expressions that include variables and/or numbers is referred to as an equation. In fact, mathematics is a question, and the development of mathematics has been driven by efforts to find systematic answers to those questions.The following is an example of an equation:An equation is a mathematical statement made up of two expressions linked together by an equal symbol. 3x - 5 = 16 is an example of a sum. Upon solving this problem, we get the value of the variable x = 7.Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. A statement is not an equation if it has no "equal to" sign. It will be regarded as a phrase.
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Suppose that the monthly cost of a long-distance phone plan (in dollars) is a linear function of the total calling time (in minutes). When graphed, the function
gives a line with a slope of 0.11. See the figure below.
The monthly cost for 34 minutes of calls is $12.62. What is the monthly cost for 25 minutes of calls?
Answer:
11.63
Step-by-step explanation:
Since the equation is linear you can find the value by multiplying the difference of the minutes by 0.11, and subtract it from the cost of the initial plan.
34-25=9
9(0.11)= 0.99
12.62-0.99= 11.63
Which of the following conditions will create a biased estimator of a population parameter? The sampling distribution of the estimator is skewed to the left. The sampling distribution of the estimator is skewed to the left. The sampling distribution of the estimator is skewed to the right. The sampling distribution of the estimator is skewed to the right. The sampling distribution of the estimator is not the same shape as the distribution of the population parameter. The sampling distribution of the estimator is not the same shape as the distribution of the population parameter. The expected value of the estimator is not equal to the population parameter. The expected value of the estimator is not equal to the population parameter. The variability of the sampling distribution of the estimator is not equal to the variability of the population parameter.
The condition that will create a biased estimator of a population parameter is D. The expected value of the estimator is not equal to the population parameter.
What is a population parameter?It should be noted that a parameter is a descriptive measure applied to a whole population. There are numerous population parameters exist. For instance, the population size (N) is one parameter.
For T(x) to be an unbiased estimator of population parameter, it is necessary that the expected value of the estimator is equal to population parameter.
Therefore, the condition that will create a biased estimator of a population parameter is that the expected value of the estimator is not equal to the population parameter.
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Tyler swam 72.8 miles in 14 weeks. How far did Tyler swim each week? (I think it's 5.2)
The rate of bacteria growth in a laboratory experiment was measured at 15% per hour. If this experiment is repeated and begins with 6 grams of bacteria, how much bacteria should be expected after 12 hours? Round to the nearest tenth of a gram.
The amount of bacteria after 12 hours would be 8 grams
What is rate?Rate can be defined as the ratio between two quantities that are related in size but may be in different units.
It is also known as the ratio of comparison between quantities of different units.
From the information given, we have that;
The rate of the laboratory experiment is 15% per hoursIt started at 6 gramsTo determine the amount of bacteria after 12 hours, we have;
= 12 × 15/ 100
multiply and find quotient
= 1. 8
In 12 hours, the amount of bacteria is ;
= 6 + 1. 8
= 7. 8 grams
= 8 grams
Thus, the amount of bacteria after 12 hours would be 8 grams
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Family has 2 whole pizzas. They eat 1 3/8 of pizza, how much is left?
Answer:
5/8 of pizza left
Step-by-step explanation:
) A color printer prints20 pages in 19 minutes. How many pages does it print per minute?
12 1 Affendy, Ben, Cheong and Derrick sold some tickets for a charity carnival. Affendy sold of the total number of tickets. Ben, Cheong and Derrick sold the remaining tickets in the ratio of 4: 3:9. Derrick sold 1315 more tickets than Ben. (a) (b) (c) How many tickets did Ben sell? What was the total number of tickets sold by Ben, Cheong and Derrick? How many tickets did the four boys sell altogether?
Answer:
Wish i could help
Step-by-step explanation:
Please help describe each transformation in order 1-3
Answer:
1-2 is a reflection, 2-3 is a rotation.
2 and 3 are touching
Step-by-step explanation:
Please answer the following question
Answer:x is greater than or equal to 0
Step-by-step explanation:
10 is co "meghan and hopsida do their math homework together. When they first find 5 - (-8), meghan in they gets -13 but hopsida gets 13. what error led to the incorrect difference" Hopsida is correct.
The error led to the incorrect difference is-
meghan and hopsida do their math homework together
To find,
5 - (-8)
meghan's answer = -13hospida's answer = 13 5 - (-8)=5+8=13meghan's answer was incorrect.
meghan put the neagative sign before 13 that's why there was difference in the answer.
Definition for difference in Math
distinction in math is the result of one of the essential mathematical operations, that is obtained by using subtracting numbers. It tells us by means of how lots a range of differs from the other.
How do you find difference in math?
a way to locate the difference among two Numbers. To discover the difference among numbers, subtract the number with the smallest value from the wide variety with the biggest cost. The fabricated from this sum is the distinction between the 2 numbers. consequently the distinction between forty five and one hundred is fifty five.
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Given f(x)=x²- 5x + 6, what is the value of f(-3.5)?
Step-by-step explanation:
no calculator at hand ?
f(-3.5) means that we have to replace every x in the function expression by -3.5 and then calculate.
f(-3.5) = (-3.5)² - 5(-3.5) + 6 = 12.25 + 17.5 + 6 = 35.75
Find the measurement of the angle indicated for the trapezoid.
*
Answer: 105 degrees
Step-by-step explanation:
two sides of a trapezoid add up to 180 degrees
180 - 75 = 105
