Answer:
18 days
Step-by-step explanation:
2 1/3 just 7/3. Next, divide 42 by 7/3 which is just 42/1 times 3/7 which gives you 18.
HELP PLEASE!!!!!
Which statement describes the system of equations?
x+2y=2
x-2y=-2
It has infinitely many solutions.
It has no solution.
It has one solution (0, 1).
It has one solution (4, –1).
Steve made 50$ raking leaves 75$ mowing lawns. He gave 60% of his earnings to his mother. How much did Steve give to his mother?
How large a sample must we take if we want the margin of error to be at most 0.01 pound with 95% confidence
Answer:
The sample size is [tex]n = 153664[/tex]
Step-by-step explanation:
From the question we are told that
The margin of error is E = 0.01
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Let take the standard deviation to be [tex]\sigma = 2 \ pounds[/tex]
Gnerally the sample size is mathematically represented as
[tex]n = [\frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ]^2[/tex]
=> [tex]n = [\frac{1.96 *2 }{0.01} ]^2[/tex]
=> [tex]n = 153664[/tex]
The expression on the left side of an equation is shown below.
-6x+6-0
If the equation has an infinite number of solutions, which expression can be written in the box on the other side of the
equation?
-6
1
-6x
- 6x+6
D: -6x +6
Step-by-step explanation: Told ya.............
(4, 3); 4x − 5y = 30
HeLp
Subtract 2(1/2) - 4(1/4)
A. -2(1/4)
B. -1(3/4)
C. 1(3/4)
D. 7(3/4)
Find the divergence of each of the following vector fields at all points where they are defined. (a) div(x(x2 y2 z2)1.5i y(x2 y2 z2)1.5j z(x2 y2 z2)1.5k)
Answer: the divergence of the vector fields at all points its defined is 0
Step-by-step explanation:
Given that;
div ( [x / (x²+ y² + z²)^1.5]i + [y / (x² + y² + z²)^1.5]j + [z / (x² + y² + z²)^1.5]k )
= d/dx [x / (x²+ y² + z²)^1.5] + d/dx [y / (x² + y² + z²)^1.5] + d/dx [z / (x² + y² + z²)^1.5]
= [1 / (x²+ y² + z²)^1.5] - [3x² / (x²+ y² + z²)^2.5] + [1 / (x²+ y² + z²)^1.5] - [3y² / (x²+ y² + z²)^2.5] + [1 / (x²+ y² + z²)^1.5] - [3z² / (x²+ y² + z²)^2.5]
= [3 / (x²+ y² + z²)^1.5] - [(3x² + 3y² +3z²) / (x²+ y² + z²)^2.5]
= [2 / (x²+ y² + z²)^1.5] - [3 / (x²+ y² + z²)^1.5] = 0
therefore the divergence of the vector fields at all points its defined is 0
A bookcase measures 13 feet wide and 24 feet tall. What would the bookcase's measurements be on a scale drawing using the scale 3 cm:2 ft?
Answer:
Step-by-step explanation:
Find out what 1 Foot per centimeter is (1.5 centimeters per foot)Multiply 13 by 1.5 to find one side and 24 by 1.5 to find the other side.
ratios. 12 yards to 9 feet
Since one yard is equivalent to three feet, you can multiply the number of yards by 3 to convert from yards to feet. 36 feet are equal to 12 yards times 3 feet per yard. Consequently, 12 yards are equal to 36 feet.
What does the term "yard" mean?A unit of length equivalent to 3 feet, or around 0.914 metres.
Both the US Customary and British Imperial Systems of Measurement use yards as a measure of length. Yd is its symbol. The length of medium-sized objects is frequently measured using it.
What is an illustration of one yard?About half the length of a bed is a yard. wider than a huge refrigerator. the elevation of a countertop.
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The amount dispensed by a soft-drink dispensing machine has a normal distribution with mean μ and standard deviation 0.155 ounce. The mean amount dispensed, μ , can be controlled. At what value should μ be set so that a 16 ounce cup will overflow with probability 0.01? Round your answer to two decimal places.
Answer: [tex]\mu=15.64[/tex]
Step-by-step explanation:
Let x be a random variable that represent the amount dispensed by a soft-drink dispensing machine which has a normal distribution with mean μ and standard deviation [tex]\sigma=[/tex] 0.155 ounce.
To find : μ such that P(X>16)=0.01
Consider P(X>16)=0.01
[tex]P(\dfrac{X-\mu}{\sigma}>\dfrac{16-\mu}{0.155})=0.01[/tex]
Since, [tex]Z=\dfrac{X-\mu}{\sigma}[/tex]
Also, z-table , one -tailed z-value for p-value of 0.01= 2.326
Then, [tex]\dfrac{16-\mu}{0.155}=2.326[/tex]
[tex]\Rightarrow {16-\mu}=0.155\times2.326\\\\\Rightarrow {16-\mu}=0.36053\\\\\Rightarrow\ \mu=16-0.36053=15.63947\approx15.64\\\\\Rightarrow\ \mu=15.64[/tex]
How do I divide a fraction?
The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed
Answer:
Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators.
Step-by-step explanation:
Based on the graph, which inequality is correct for a number that is to the left of -4?
HHHHHH
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8
+
(4 points)
o -7>-4
0-6<-4
-8 > -4
ОО
-4 <-g
NEED HELP ASAP
Answer:
Sorry I'm a little late but the answer is
2 > -4
Solve the equation.
512^x= 8
O {3}
O {1/3}
O {-1/3}
O {-3}
Answer:
it's the 2nd one
Step-by-step explanation:
its 1/3
Can someone help me solve this ?
Answer:
$182
Step-by-step explanation:
Let x be the number of students going
Let y be the total cost
Then,
7x=y
7(26)=y
$182=y
Therefore, the total cost would be $182 for 26 students to go.
Hope this gives you an A
Answer:
expression: 7 × (S which is 26)
Total cost: 182
Step-by-step explanation:
please answer asap!!
Answer:
MON= 15
Step-by-step explanation:
9x+44+6x+3=77
15x+47=77 subtract 47 from both sides
15x=30 divide both sides by 15
x=2
6x+3
(6*2)+3
12+3=
15
Hope this helps
Andre and Elena are solving this system of equations: y=3x,
y=9x−30
Andre's first step is to write: 3x=9x−30
Elena’s first step is to create a new system: {3y=9xy=9x−30
Do you agree with either first step? If so which one and explain your reasoning
It should be noted that when Andre and Elena are solving this system of equations, the first step is correct but the others are wrong.
How to illustrate the information?It should be noted that an equation is used.to show the relationship between the expressions that are given.
It should be noted that Andre and Elena are solving this system of equations: y=3x, y=9x−30.
This will be equated to this:
3x = 9x - 30
Collect like terms
9x - 3x = 30
6x = 30
Divide
x = 30 / 6
x = 5
Note that y = 3x = 3 × 5 = 15
Therefore, it should be noted that when the value of y is 15 and only the first step is correct.
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A manufacture has been selling 1300 television sets a week at $390 each. A market survey indicates that for each $25 rebate offered to a buyer, the number of sets sold will increase by 250 per week. a) Find the demand function p ( x ) , where x is the number of the television sets sold per week.
Answer:
P = - 0.1x+520
Step-by-step explanation:
Finding the demand function p ( x ) , where x is the number of the television sets sold per week.
each $25 rebate offered to the buyer, the number of sets sold will increase by 250 , hence slope = -25/250 = -1/10 Equation will be
P-390/x-1300 = -25/250
Cross multiplying
250(P-390) = -25(x-1300)
250p-97500 = -25x+32500
250p = -25x+32500+97500
250p = -25x + 130000
Divide both sides by 250
250p/250 = (25x + 130000)/250
P = - 0.1x+520
Hence, the demand function p(x) is
= - 0.1x+520
Helppppppppppppppppp
Answer:
16
Step-by-step explanation:
since the triangle is the same on both sides, if one side is 16 then the other side is the same.
Find x.
P
40
600
L
R
1345753 yessssssssssss
Ed's goal is to jog no more than 8 miles this week. He jogged 4 3/4 miles on Monday and 3 3/8 miles on Wednesday.
Answer:
8.125
Step-by-step explanation:
He jogged over 8 miles so he needs to stop jogging he already completed his goal.
16m^2+60m-54
Factor
Evaluate the expression when x=4 and y=1: 5y
Answer:
5
Step-by-step explanation:
5(1) = 5
Answer:
5
Step-by-step explanation:
There is no x so we only replace y with 1
5(1)=5*1=5p
In 2016, humans produced 29 billion tonnes of carbon dioxide. This is set to grow by around 40% by the year 2035. How many tonnes of carbon dioxide will be produced by humans in 2035? Give your answer in standard form.
Answer:is it 40.6 billion tonnes of carbon dioxide
Step-by-step explanation:
Which of the following statements is not a translation of the equation 4 + x = 9?
Answer:yes it is! It’s correct
Two less than 5 times a number is the same as the number plus 10. what's the number (x)?
Answer:
Th answer is 2
Step-by-step explanation:
Subtract 5 from 10 then multiply 5 and 2
Glad i could help
Answer:
3
Step-by-step explanation:
5x-2=x+10
4x=12
x=3
(5*3)-2=15-2=13
3+10=13
13=13
plz help as soon as you can
A: -16 < -4
B: 40 > 8
C: -45 < 15
D: 35 > -20
E: Reverse
If f(x)=6x2-4, what is f(1)?
Answer:
f−1(x)=√6(x+4)6,−√6(x+4)6
Plz let me know if im wrong!!!
Answer:
are u sure this is written correctly?
The capacities (in ampere-hours) were measured for a sample of 120 batteries. The average was 178 and the standard deviation was 12. Find a 95% lower confidence bound for the mean capacity of this type of battery. Round the answer to two decimal places. The lower confidence bound is .
Answer: A 95% lower confidence bound for the mean capacity of this type of battery = 175.85
Step-by-step explanation:
Given: The capacities were measured for a sample : n= 120 batteries.
[tex]\overline{x}=178[/tex] and [tex]\sigma=12[/tex]
lower confidence bound= [tex]\overline{x}-z^c\times\dfrac{\sigma}{\sqrt{n}}[/tex]
Critical z value for 9%% confidence = 1.96
So, a 95% lower confidence bound for the mean capacity of this type of battery will be :
[tex]178-(1.96)\dfrac{12}{\sqrt{120}}\\\\=178-(1.96)(1.0954451)\\\\=(1.96)(1.0954451)\approx175.85[/tex]
Hence, a 95% lower confidence bound for the mean capacity of this type of battery = 175.85
y=3/4x -1 find the slope and the y intercept PLEASE ALOT OF POINTS
Answer:
slope 3/4
y intercept -1
Step-by-step explanation:
y=mx+b
m=slope
b=y intercept
Answer:
Slope-3/4
Intercept-(0,-1)
Step-by-step explanation:
The curved part of this figures is a semicircle.
What is the best approximation for the area of this figure?
14+16.25π units²
28+16.25π units²
14+8.125π units²
28+8.125π units²
Coordinate plane with axes labeled x and y. A closed figure is formed by two segments and a semicircle. A segment extends from negative 4 comma negative 2 to negative 4 comma 2. Another segment extends from negative 4 comma 2 to 3 comma 2. A semicircle extends from 3 comma 2 to negative 4 comma negative 2.
The area of a shape is the amount of space on the shape.
The best approximation for the area of the figure is [tex]14 + 16.25\pi[/tex]
How to determine the area of the figureStart by calculating the diameter of the semicircle using the following distance formula:
[tex]d = \sqrt{(x_2 -x_1)^2 +(y_2 -y_1)^2}[/tex]
So, we have:
[tex]d = \sqrt{(-4 -3)^2 +(-2 -2)^2}[/tex]
[tex]d = \sqrt{65}[/tex]
Divide by 2, to calculate the radius
[tex]r = \frac{\sqrt{65}}{2}[/tex]
So, the area of the semicircle is:
[tex]A = \frac{\pi r^2}{2}[/tex]
This gives
[tex]A = \pi (\frac{\sqrt{65}}{2})^2[/tex]
[tex]A = \frac{65}{4}\pi[/tex]
[tex]A = 16.25\pi[/tex]
Next, we calculate the area of the triangle using:
[tex]A = 0.5 * B * H[/tex]
Where:
[tex]B = 3 -(-4)[/tex]
[tex]B = 7[/tex]
[tex]H= 2 - (-2)[/tex]
[tex]H = 4[/tex]
So, we have:
[tex]A = 0.5 * 7 * 4[/tex]
[tex]A = 14[/tex]
The area of the figure is then calculated as:
[tex]A = 14 + 16.25\pi[/tex]
Hence, the best approximation for the area of the figure is [tex]14 + 16.25\pi[/tex]
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