Step-by-step explanation:
[tex]9 {( - \frac{8}{3}) }^{} {}^{2} + 48( - \frac{8}{3} ) + 64 \\ \\ 9( - \frac{64}{9} ) - \frac{48}{3} + 64 \\ \\ - 64 - 16 + 64 = - 16[/tex]
Rebecca’s boss pays her time and a half for overtime work. If her regular wage is $13.50 per hour, what is her overtime rate?
Answer:
Rebecca's overtime rate is $20.25 per hour
Step-by-step explanation:
Rebecca is paid $13.50 per hour as her regular wage.
Her boss pays her that amount and a half for overtime work.
Half of her regular pay rate is 13.50/2= $6.75
Thus, her overtime rate is:
$13.50 + $6.75 = $20.25
Rebecca's overtime rate is $20.25 per hour
6.) Consider the functions f(x) = -2x + 1 and g(x) = 4x - 5
find f(3)
Answer:
[tex]f(3)=-5[/tex]
Step-by-step explanation:
We have the functions [tex]f(x)=-2x+1[/tex] and [tex]g(x)=4x-5[/tex]
We want to find [tex]f(3)[/tex]. So, we can use our first function.
Substitute 3 for x. This yields:
[tex]f(3)=-2(3)+1[/tex]
Multiply:
[tex]f(3)=-6+1[/tex]
Add:
[tex]f(3)=-5[/tex]
So:
[tex]f(3)=-5[/tex]
Convert the following into scientific notation:
70.2 = _____ x 10 ____
Answer:
7.02 x 10^1
Step-by-step explanation:
Answer:
7.02 * 10^1
Step-by-step explanation:
Evaluate the expression.
8 x -9 = 6 x -8
1 upon 2
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This is a two-part question: A 12-pack of bottled mineral water sells for $3.85. For the following,
state whether to use multiplication or division for the specified amount:
a) The cost of one bottle of water:
b) The cost of four 12-packs of water:
Answer:
The cost of one water bottle of water would be division, The cost of four 12-packs of water is multiplication.
Step-by-step explanation:
. Which of the following could be the graph of the equation y=-2x?
A.
B.
C.
Answer:
a
Step-by-step explanation:
The linear equation y = -2x is passing through the origin. Then the correct option is B.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The linear equation is given below.
y = -2x
The y-intercept in the above equation is zero. Then the linear equation is passing through the origin.
The linear equation y = -2x is passing through the origin. Then the correct option is B.
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If ABCD = QRST , m∠A = x - 10, and m∠Q = 2x - 30, what is m∠A?
Answer:
m<A = 10
Step-by-step explanation:
Answer:
10 degrees
Step-by-step explanation:
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Find the perimeter of the figure
Answer:
20 m
Step-by-step explanation:
For the perimeter, add all the sides together:
4 + 6 + 3 + 5 + 2 = 20 m
Answer:
Step-by-step explanation: Perimeter of figure is = sum of all sides
= 6m+3m+5m+2m+4m
= 9m+7m+4m
= 16m+4m
= 20m
A movie rental company charges a monthly fixed membership fee of $13 plus $4 per movie that the user rents in
that month. If M represents the number of movies that the user rents, and C represents the user's total charge
for the month, find the relationship between M and C.
Answer:
$17 dollars a month and the relationship is 3 apart
Step-by-step explanation:
Answer:
C=4M+13
Step-by-step explanation:
Remember that as the number of movies M increases, the cost C increases too. For each additional movie, the cost increases by $4. This is added to the monthly fixed membership fee of $13.
2/3 divided by 2/5
lesson 4 module 2
grade 6
page s.20
Answer:
1 2/5
Step-by-step explanation:
Flip 2/5 to be 5/2
Multiply.
2/3 ⋅ 2/5 = 10/6
Simplify.
1 2/5
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An ice cream cone has a diameter of 6 centimeters. What is the volume of the cone, if the cone is 9 centimeters tall?
Answer:
V≈84.82
Step-by-step explanation:
V=πr2h
Terry is trying to place a satellite dish on the roof of his house at the recommended height of 18 feet. His house is 32 feet wide, and the height of the roof can be described by the function below,where x is the distance along the width of the house. Where should Terry place the dish? h(x) = -3/2 | x - 16 | + 24 A: No place is high enough B: Right at top C: 12 or 20 feet from the edge D: 4 or 28 feet from the edge
Answer:
C: 12 or 20 feet from the edge
Step-by-step explanation:
We are told the recommended height is 18 feet and that the function describing the height is;
h(x) = -(3/2)|x - 16| + 24
This means that;
-(3/2)|x - 16| + 24 = 18
Multiply through by -2/3 to give;
|x - 16| + 24(-2/3) = 18(-2/3)
|x - 16| - 16 = -12
Add 16 to both sides to get;
|x - 16| = 16 - 12
|x - 16| = 4
Add 16 to both sides to get;
Expanding the absolute value problem, we have;
x - 16 = 4 or -(x - 16) = 4
Thus;
x = 16 + 4 or -x + 16 = 4
x = 20 or x = 16 - 4
x = 20 or x = 12
Since x is the distance along the width of the house, then Terry should place the dish 12 or 20 feet from the edge
greg is working on a school project
Answer: Cool
Step-by-step explanation:
Greg is working on a school project
Answer:
noice
Step-by-step explanation:
|4x|+6=22?????????????????????
Answer: x=4, x=-4
Step-by-step explanation: because it is absolute value, negative or positive does not matter.
f(x)=-5x-4x^-3 Please Help!
Answer:
-:3"5'6:7;8\4-4-4-4✓
Select the smallest fraction from the following fractions.
2/4, 3/6, 1,3, 7/9
Answer: 1/3
Step-by-step explanation:
2/4 and 3/6 can be simplified to 1/2.
1/3 is smaller than 1/2 because it have a larger denominator, but the same numerator.
Multiple 1/3 by 3/3 and you get 3/9, which is smaller than 7/9.
2) The midpoint of the line segment between: (10,- 11) and (-8, -5) is:
Answer: (1, -8)
M = x1 + ×2 / 2 & y1 + y2 / 2
x1 = 10, y1 = -11 x2 = -8 y2 = -5
M = 10 + (-8) / 2 & -11 + (-5) / 2
Answer = 1, -8
What is the equation of the line that passes through the point (−8,7) and has a slope of 0?
Step-by-step explanation:
formula = y - y1 = m2 ( x - x1)
y - 7 = 0 ( x - (-8))
y - 7 = 0
y = 7
-5 1/2 + 7 3/4 value of the expression
Answer:
2 1/4
Step-by-step explanation:
-11/2+7 3/4
-11/2 + 31/4
= 9/4
= 2 1/4
Answer:
2 1/4.
Step-by-step explanation:
-5 1/2 + 7 3/4
= 7 3/4 - 5 1/2
= 7 - 5 + 3/4 - 1/2
= 2 + 1/4
= 2 1/4.
7y ÷ 2 = -2 what does y equal
Answer:
y=-4/7
Step-by-step explanation:
7y/2=-2
multiply both sides by 2
7y=-4
divide both sides by 7
y=-4/7
Every rope has a safe working load. A rope should not be used to lift a weight greater than its safe working load. The table shows the safe working loads S (in pounds) for ropes with circumference C (in inches). Write an equation for the safe working load for a rope. Find the safe working load for a rope that has a circumference of 10 inches.
9514 1404 393
Answer:
S = 180C²18,000 lbsStep-by-step explanation:
Assuming the table attached with C in inches and S in pounds, we see that the first differences in S are ...
180, 540, 900
These are not constant, so the relation is not linear.
Second differences are ...
360, 360
These are constant, so the relation is quadratic. With a short trial, we find that a suitable equation is ...
S = 180·C²
__
The safe load for C=10 is then ...
S = 180·10² = 18,000 . . . pounds
6 1/4 ÷ 4
(6th grade math)
Answer: 1.5625
Step-by-step explanation: just a calculator
Answer:
1.5625
Step-by-step explanation:
20 POINTS!!!!!!!
Who would win in a fight Rambo or John Wick?
Answer:
Depends on the situation but John Wick
Step-by-step explanation:
Answer:
John wick
Step-by-step explanation:
John wick is a former government assassin with special training, along with knowing close range combat very well in the form of jujitsu and judo, john Rambo is a former us special forces member, who has around the same or greater firearms training than wick, but lacks in melee combat he slash,stab,swing,punch, and attack wick at close range but, wick could easily take out Rambo in melee combat cause wick knows how to use around anything as a weapon. wick is more agile then Rambo and wick could easily get up to Rambo and take him out with a gun and doge Rambo's bullets, or wick could take Rambo out at close range.
The coordinates of point T are (0, 5) . The midpoint of overline ST is (1, - 2) . Find the coordinates of point S
Plz hurry if u can!!!
The midpoint of a line segment is the point equidistant to the endpoints of the line. The coordinate of S is (2,-9)
Given that:
[tex]T(x_1,y_1) = (0,5)[/tex]
[tex]M = (1,-2)[/tex] --- the midpoint of ST
[tex]S = (x_2,y_2)[/tex]
To calculate the coordinates of S, we use the following midpoint formula:
[tex]M = 0.5 \times (x_1 + x_2,y_1+y_2)[/tex]
So, we have:
[tex](1,-2) = 0.5 \times (0 +x_2,5 + y_2)[/tex]
Divide both sides by 0.5
[tex](2,-4) = (0 +x_2,5 + y_2)[/tex]
[tex](2,-4) = (x_2,5 + y_2)[/tex]
Compare both sides
[tex]x_2 = 2[/tex]
[tex]5 + y_2 = -4[/tex]
Collect like terms
[tex]y_2 = -4-5[/tex]
[tex]y_2 = -9[/tex]
Hence, the coordinates of S is:
[tex]S = (2,-9)[/tex]
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Convert 0.1lb/day to oz/wk
Answer:
1 pound (mass) per day (lb/d) of mass flow=112.00 ounces (mass) per week (oz/wk) in mass flow
Step-by-step explanation:
s congruent to . If angle S is (5x-11) degrees and angle U is (4x+9) degrees, find the value of x.
Given:
Consider angle S is congruent to angle U.
The angle S is (5x-11) degrees and angle U is (4x+9) degrees,
To find:
The value of x.
Solution:
Since it is given that angle S is congruent to angle U, therefore the measure of theses two angles are equal because measure of congruent angles are equal.
[tex]m\angle S=m\angle U[/tex]
Put the given values.
[tex]5x-11=4x+9[/tex]
Subtract 4x from both sides.
[tex]5x-4x-11=9[/tex]
Add 11 on both sides.
[tex]x=9+11[/tex]
[tex]x=20[/tex]
Therefore, the value of x is 20.
6) Anita bought a pie and ate 30% of it yesterday afternoon. In the night, her brother Bob ate 40% of what was left. The rest was kept for their sibling Sheila. What percentage of the pie was left for Sheila?
Answer: 30%
Step-by-step explanation:
Pie eaten by Anita = 30%
Pie eaten by Bob = 40%
total Pie = 100%
Pie left for by Sheila = 100 - (30 + 40)
= 100 - 70
= 30%
therefore, pie left for Sheila = 30%
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Answer:70%
Step-by-step explanation:
what is the answer? pls help
Answer:
[tex]\frac{3}{2}[/tex]
Step-by-step explanation:
For this, we shall use the slope formula:
[tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex] ← this is [tex]\frac{rise}{run}[/tex]
Assuming this is a line, all we do is pick two consecutive points and plug them in. For example, let's take the first two points. (1, -4) and (7, 5) as they are the easiest to work with.
Let's plug in these two values:
[tex]\frac{5 - (-4)}{7 - 1}[/tex]
Simplified we get:
[tex]\frac{9}{6}[/tex]
We are now able to factor 3 out of the numerator and denominator:
[tex]\frac{3}{2}[/tex]
Thus resulting in the slope.
4.8 Twitter users and news, Part I: A poll conducted in 2013 found that 55% of U.S. adult Twitter users get at least some news on Twitter (Pew, 2013). The standard error for this estimate was 2.6%, and a normal distribution may be used to model the sample proportion. Construct a 99% confidence interval for the fraction of U.S. adult Twitter users who get some news on Twitter, and interpret the confidence interval in context. (please round all percentages to 2 decimal places)
Answer: Required 99% confidence interval : (48.30%, 61.7%)
Step-by-step explanation:
Confidence interval for PROPORTION: [tex]p\pm z^* \times S.E.[/tex], where p = sample proportion , z* = two-tailed critical z-value and S.E. = standard error.
As per given: p=55%
Critical z-value for 99% confidence = 2.576
S.E. = 2.6%
Then, required confidence interval :
[tex]55\% \pm (2.576)\times 2.6\%\\\\\approx55\% \pm6.70\%\\\\=(55\%-6.70\%,\ 55\%+6.70\%)\\\\=(48.30\%,\ 61.7\%)[/tex]
Required 99% confidence interval : (48.30%, 61.7%)
Maria took a taxicab from her home to the theater
downtown. The taxicab company charges a flat fee of $5.00
plus $0.25 per mile. Which equation represents C, the total
cost of her ride, in terms of m, the length of the trip in
miles?
Answer:
the answer is #3
Step-by-step explanation:
the expression that represents C, the total cost of her ride, in terms of m, the length of the trip in miles is C = 5 + 0.25m.
What are mathematical operations?The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.
Given this, Maria took a taxicab from her home to the theater downtown. The taxicab company charges a flat fee of $5.00 plus $0.25 per mile.
Since, C represents the total cost of her ride, in terms of m, the length of the trip in miles.
So,
Total cost = fixed cost + variable cost
In our case
Fixed cost = 5
and the variable cost = 0.25 per mile
For m miles variable cost = 0.25*m
Thus,
Total cost = 5 + 0.25*m
C = 5 + 0.25m
therefore, the expression that represents C, the total cost of her ride, in terms of m, the length of the trip in miles is C = 5 + 0.25m.
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