Step-by-step explanation:
each can is R is 4 so her width is 8. 6×8= 48 4×8=32 so it means the cardboard is 32×48. now calculate the area (1536 i think) and reduce 24×4^2×pi that this is the area of the cans.
Three runners are training for a marathon. One day, they all run about ten miles, each at their own constant speed. Which of the three runners has the fastest pace?
Answer:
Runner 2 has the fastest pace
Step-by-step explanation:
The first one we need to find the slope
m = (y2-y1)/(x2-x1) = (40-0)/(4-0) =40/4 = 10 minutes per mile
The second is 8.5 minutes per mile
The third we need to find the slope
m = (y2-y1)/(x2-x1) = (90-72)/(10-8) =18/2 = 9 minutes per mile
Write the equation of the line that contains the point (−2, -9) and is 4) Parallel to y = 8x + 7 5) Perpendicular to y = 8x + 7
Answer:
a. y = 8x + 7
b. 8y = -x-74
Step-by-step explanation:
Here, we want to write the equation of a line which is parallel to y = 8x + 7 and passes through the given point
Since the line we want to write the equation is parallel to y = 8x + 7, it means that they have the same slope
Mathematically we can write the equation of a line as y = mx + c where m is the slope. Comparing this with y = 8x + 7, our slope is therefore 8
Now, the slope of our new line is also 8
We now make use of the point slope method to write the equation
Mathematically the point slope method is;
y-y1 = m(x-x1)
where our (x1,y1) = (-2,-9)
y-(-9) = 8(x -(-2))
y + 9 = 8(x + 2)
y + 9 = 8x + 16
y = 8x + 16-9
y = 8x + 7
For the second line, it is perpendicular to y = 8x + 7
Here too, we have the slope as 8
Now since they are perpendicular, it means that the product of the slopes is equal to -1
m1 * m2 = -1
8 * m2 = -1
m2 = -1/8
Now;
y-y1 = m(x-x1)
our point still remains same (-2,-9)
y-(-9) = -1/8 (x -(-2))
y + 9 = -1/8(x + 2)
8(y + 9) = -1(x + 2)
8y + 72 = -x -2
8y = -x -2-72
8y = -x-74
What is the decimal multiplier to decrease by 2.7%?
Answer:
0.027
Step-by-step explanation:
Convert to a fraction, then convert to a decimal by dividing the numerator by the denominator.
C
11cm
11cm
B
A
8cm
Construct the isosceles triangle ABC
A customer at a restaurant can choose a soup and a salad from the menu choices shown.
Which sample space represents all the possible ways to choose one soup and one salad?
OG, OC, OT, OV, TG, TC, TV, VG, VC, GC
OG, TC, VC
Soup
Salads
Onion (O) Garden (G)
Tomato (U) Chopped (C)
Vegetable (V)
OG, OC, TG, TC, VG, VC
OG, OC, TG, TC, VC
Answer:
OG, OC, TG, TC, VG, VC
Step-by-step explanation:
Soups: O, T, V
Salads: G, C
For each soup, he can choose 2 salads.
OG, OC, TG, TC, VG, VC
The sample space represents all the possible ways to choose one soup and one salad is {OG, OC, TG, TC, VG, VC}.
What is sample space?Sample space is the set of all the possible values or the outcomes of a event.
Let suppose the coin are tossed two times. Then the set of possible outcome or sample space of it can be given as,
[tex]S=\{HH,HT,TH,TT\}[/tex]
Here, H denotes the head and T denotes the tail part of the coin.
A customer at a restaurant can choose a soup and a salad from the menu choices shown.
Soup SaladsOnion (O) Garden (G)Tomato (T) Chopped (C)Vegetable (V)For this menu the customer choose one onion as soup and one garden as salad which can be represented as (OG). Similarly, the sample space of his choice can be,
[tex]\{OG, OC, TG, TC, VG, VC\}[/tex]
Thus, the sample space represents all the possible ways to choose one soup and one salad is {OG, OC, TG, TC, VG, VC}.
Learn more about the sample space here;
https://brainly.com/question/9222927
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help fast please who ever answer correct i will rate them excellent,
which is the correct answer
1) 4x - 7 = 13 *
5
4
3
2
2) 3x + 4 = 25 *
5
4
3
7
3) p/3 +5 =9 *
13
12
10
11
4) m/5 + 2 = 12/5 *
0
1
2
3
5) 4z/5 - 2 =6 *
9
10
11
12
who ever answer correct i will rate them excellent
1. x =5
2. x = 7
3. p = 12
4. m=2
5. z = 10
Answer:
Below in bold.
Step-by-step explanation:
1) 4x - 7 = 13
4x = 20
x = 20/4
x = 5.
2) 3x + 4 = 25
3x = 21
x = 7.
3) p/3 + 5 = 9
p/3 = 9 -5 = 4
Multiply both sides by 3:
p = 3*4
p = 12.
4) m/5 + 2 = 12/5
Multiply through by 5:
m + 10 = 12
m = 12 -10
m = 2.
5) 4z/5 - 2 = 6
4z/5 = 8
Cross multiply:
4z = 5*8
4z = 40
z = 10.
7. What fraction of a clockwise revolution does the hour hand of a clock turn through, when it goes
from
(a) 6 to 12
(b) 5 to 8
hi there if you are there
please reply it is a very urgent assignment that I have to send it by today .
A data set has the following six data points: 11, 3, x, x+2, 5, 10. If the median if this data set is 7, then what is the possible value of x?
Answer:
x=6
Step-by-step explanation:
The median is also the number that is halfway into the set. To find the median, the data should be arranged in order from least to greatest. If there is an even number of items in the data set, then the median is found by taking the mean (average) of the two middlemost numbers11, 3, x, x+2, 5, 10
in ascending order the data points:
3, 5, 10, 11, x, x+2, then median >7x, x+2, 3, 5, 10, 11 then median <73, 5, x, x+2, 10, 11 then median is (x+x+2)/2=7 ⇒ x+1=7 ⇒ x=6At a store, customers are randomly selected to participate in a survey. On Friday, there were 500 customers at the store. Of those, 90 were selected to participate in the survey. On Saturday, the store manager expects 700 customers in the store. If the probability of being selected to participate in the survey on Saturday is the same as it was on Friday, how many customers will be selected to participate in the survey on Saturday? ______ customers on Saturday (Write the number only***)
Answer:
126
Step-by-step explanation:
The probability is 90/500 = 18%
So, from 700 customers,
700 * 18% = 700 * 18/100 = 126
Therefore, 126 customers will be selected on saturday.
Find the volume of the pyramid below.
Answer: 400 units
Step-by-step explanation:
Volume=1/3a^2h
=1/3(10)^2(12)
=400
The correct answer is 400. I had the same question on a test I took not to long ago.
can anyone help me solve this using exponent rules
(5x4y3)(-2x5y)
Answer:
[tex]-10x^9y^4[/tex]
Step-by-step explanation:
Answer:
-10x9y4
Step-by-step explanation:
When multiplying exponents it's like adding nothing serious. Hope this helps! Plz mark brainliest!!
There are between 24 and 40 students in a class,
The ratio of boys to girls is 4:7
How many students are in the class?
Answer:
There are 33 students
Step-by-step explanation:
Because 7:4 should be in multiple of 11
A=4x/t-p make x the subject
Answer:
x = (A t)/4 + (p t)/4
Step-by-step explanation:
Solve for x:
A = (4 x)/t - p
A = (4 x)/t - p is equivalent to (4 x)/t - p = A:
(4 x)/t - p = A
Add p to both sides:
(4 x)/t = A + p
Multiply both sides by t/4:
Answer: x = (A t)/4 + (p t)/4
please help with question below thank you
Answer:
44/51
Step-by-step explanation:
1 5/6 ÷ 2 1/8
Change to improper fractions
1 5/6 = (6*1+5)/6 = 11/6
2 1/8 = (8*2 +1) /8 = 17/8
11/6 ÷17/8
Copy dot flip
11/6 * 8/17
11/17 * 8/6
11/17 *4/3
44/51
2x+y=5
x - y = 4
Please answer this wuestion
Answer:
x=9
y=5
Step-by-step explanation:
slove for x.
3x+15=56
Answer:
13.7
Step-by-step explanation:
3x=41
x is around 13.7
Answer:
x = [tex]\frac{41}{3}[/tex]
x ≈ 13.7
Step-by-step explanation:
[tex]3x+15=56\\3x+15-15=56-15\leftarrow \text {Subtraction Property of Equality} \\3x=41\\\\\frac{3x}{3} =\frac{41}{3} \leftarrow \text {Division Property of Equality}\\\\\boxed {x=\frac{41}{3}}[/tex]
41/3 = 13.66666666....
13.666... ≈ 13.7
Five times a number is divided by 7 more than the number. If the result is 2 then what was the original number?
the number=A
5xA/7+A=2
5A/7 +A =2
5A/7=2-A/1
7(2-A)=1(5A)
14-7A=5A
14=5A+7A
14/12=12A/12
A=14/12
A=7/6
Can anyone please help me it’s only one question please help me
Answer:
A =7.02 m^2
Step-by-step explanation:
The area of a trapezoid is given by
A = 1/2 (b1+b2)*h where b1 and b2 are the lengths of the bases
A = 1/2 ( 4.5+6.3) * 1.3
A = 1/2(10.8) * 1.3
A =7.02 m^2
What is the solution to the inequality
+4 50?
(♾, -28)
(-♾, -28]
(28,♾)
[28,♾)
Answer:
[tex]4 - 22 - 115[/tex]
answer is yes...........
If x = a cosθ and y = b sinθ , find second derivative
I'm guessing the second derivative is for y with respect to x, i.e.
[tex]\dfrac{\mathrm d^2y}{\mathrm dx^2}[/tex]
Compute the first derivative. By the chain rule,
[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\mathrm dy}{\mathrm d\theta}\dfrac{\mathrm d\theta}{\mathrm dx}=\dfrac{\frac{\mathrm dy}{\mathrm d\theta}}{\frac{\mathrm dx}{\mathrm d\theta}}[/tex]
We have
[tex]y=b\sin\theta\implies\dfrac{\mathrm dy}{\mathrm d\theta}=b\cos\theta[/tex]
[tex]x=a\cos\theta\implies\dfrac{\mathrm dx}{\mathrm d\theta}=-a\sin\theta[/tex]
and so
[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{b\cos\theta}{-a\sin\theta}=-\dfrac ba\cot\theta[/tex]
Now compute the second derivative. Notice that [tex]\frac{\mathrm dy}{\mathrm dx}[/tex] is a function of [tex]\theta[/tex]; so denote it by [tex]f(\theta)[/tex]. Then
[tex]\dfrac{\mathrm d^2y}{\mathrm dx^2}=\dfrac{\mathrm df}{\mathrm dx}[/tex]
By the chain rule,
[tex]\dfrac{\mathrm d^2y}{\mathrm dx^2}=\dfrac{\mathrm df}{\mathrm d\theta}\dfrac{\mathrm d\theta}{\mathrm dx}=\dfrac{\frac{\mathrm df}{\mathrm d\theta}}{\frac{\mathrm dx}{\mathrm d\theta}}[/tex]
We have
[tex]f=-\dfrac ba\cot\theta\implies\dfrac{\mathrm df}{\mathrm d\theta}=\dfrac ba\csc^2\theta[/tex]
and so the second derivative is
[tex]\dfrac{\mathrm d^2y}{\mathrm dx^2}=\dfrac{\frac ba\csc^2\theta}{-a\sin\theta}=-\dfrac b{a^2}\csc^3\theta[/tex]
I need help on this question
Answer:
x=4
Step-by-step explanation:
A man has three white shirts,two blue shirts abd five red shirts.He picks one at random.What is the probability of white.Show workings
Answer: 30% or 3/10.
Step-by-step explanation: To find the probablilty of getting a white shirt, we first have to find the total number of shirts: 3 white + 2 blue + 5 red = 10 total. Out of the ten total, there are 3 white shirts. The probability of getting a white shirt is 3/10, because out of the 10 total shirts, 3 shirts are white.
Answer:
3/10Step-by-step explanation:
[tex]Probability = \frac{Events}{Possible- outcomes} \\Total -no -of -shirts=3+2+5=10\\Event = 3 \\Probability = \frac{3}{10}[/tex]
I hope i am correct
Been stuck on this for a while
Answer:
-x^3 -3x+2
Step-by-step explanation:
f(x) = -3x +2
g(x) = x^3
(f-g)(x) = -3x +2 - x^3
= -x^3 -3x+2
How to find the length when the perimeter and width is given
Answer:
You divide the perimeter by the width to get the length
Step-by-step explanation:
Here's a graph of a linear function. Write the
equation that describes that function.
Express it in slope-intercept form. .
Enter the corror answer
Answer:
Y=1/2x-3
Step-by-step explanation:
Down 3 at the y-axis and up 1 right 2.
What is the slope of the linear represents by the equation y = 4/5 x -3
Answer:
4/5
Step-by-step explanation:
y = mx + b
4/5 = m = slope
Answer:
The slope is 4/5.
Step-by-step explanation:
It's a linear equation. Which means that you can graph a "line" out of it.
The format is y=mx+b
mx=slope
b= y-intercept.
The slope is 4/5.
what are the possible values of x in 8^2+4x = -1
Answer:
So we can simplify this to
36+4x=-1
We can subtract by 64 on both sides. 4x = -37. Therefore the answer to this is
x = -37/4 = -9.25.
So the answer for x is -16.25. If you were trying to do a quadratic equation then sorry because you worded it wrong, and I solved properly.
Answer: -9.25Triangle ABC is located at A (−2, 2), B (−2, 4), and C (0, 0). The triangle is then transformed using the rule (x+3, y− 2) to form the image A'B'C'. What are the new coordinates of A', B', and C'?
Answer:
In this problem, we have three vertices, namely:
A(-2,2) , B(-2,4) , C(0,0)
Our transformation rule is (x+3,y-2) and this rule forms the image A'B'C'. So:
Step-by-step explanation:
A'=(-2+3,2-2)=(1,0)
B'=(-2+3,4-2)=(1,2)
C'=(0+3,0-2)=(3,-2)
Taking a look in the First Figure, we can see the two triangles. The red one is the triangle ABC and the blue one is A'B'C'. In the Second Figure, the corresponding vertices have been connected with line segments, as indicated the green lines. The characteristics of those three lines are two, namely:
They are parallel.
They have the same length.
The measure of angle 3 is 42°.
What is the measure of angle 1 in degrees?
Answer:
<1 = 48
Step-by-step explanation:
<1 + <2 + <3 = 180 since they form a line
<1 + 90+ 42 =180
Combine like terms
<1 + 132 =180
Subtract 132 from each side
<1 +132-132 =180-132
<1 = 48
Answer:
48 is the answer
Step-by-step explanation:
Several batches of stew were made yesterday. Each batch required 1 and two-thirds pounds of meat. All together, 10 and StartFraction 5 over 6 EndFraction pounds of meat was used. Janice tried to find the number of batches of stew made. Her work is shown below. 10 and StartFraction 5 over 6 EndFraction divided by 1 and two-thirds = StartFraction 65 over 6 EndFraction divided by five halves = StartFraction 65 over 6 EndFraction times StartFraction 2 over 5 EndFraction = StartFraction 130 over 30 EndFraction = 4 and one-third When she checked the answer by estimating, it did not make sense. What error did Janice make? Janice converted a mixed number to the wrong improper fraction. Janice added the numerators and denominators instead of multiplying. Janice did not change the division problem to multiplication. Janice did not convert the improper fraction to a mixed number correctly in the answer.
Answer:
Janice converted a mixed number to the wrong improper fraction.
Step-by-step explanation:
1 batch of stew uses 1 and 2/3 lb meat
Total amount of meat used - 10 and 5/6 lb
x = number of stew batches made
To get number of batches made, divide total meat used by the amount of meat each batch requires:
x = 10 5/6 ÷ 1 2/3
convert mixed fractions to improper fractions:
x = (10x6+5)/6 ÷ (1x3+2)/3
x = 65/6 ÷ 5/3
The fraction in bold numbers is where Janice got it wrong. She changed 1 2/3 to 5/2. (From the question: 10 and StartFraction 5 over 6 EndFraction divided by 1 and two-thirds = StartFraction 65 over 6 EndFraction divided by five halves). 1 2/3 converted to an improper fraction is 5/3. From this point going forward, the calculations are wrong.
Answer:
A
Step-by-step explanation: