Answer:
1 4/7
Step-by-step explanation:
11/7 As A Mixed Number Would Be 1 And 4/7
y=4x-2, y=3x-1
pllllleeaaasssseee heeeelllpppp meeeee
Answer:
x=1
y=2
Step-by-step explanation:
Hope this helps (3
In this triangle, what is the value of x?
Enter your answer, rounded to the nearest tenth, in the box.
Answer: x = 75.7 cm
Step-by-step explanation:
In the given picture, we are given a right triangle.
The length of hypotenuse = 85 cm
Angle opposite to x= [tex]63^{\circ}[/tex]
Using trigonometry,
[tex]\sin\theta=\dfrac{\text{Side opposite to }\theta}{\text{Hypotenuse}}\\\\\Rightarrow\ \sin63^{\circ}=\dfrac{x}{85}\\\\\Rightarrow\ x=85\times\sin63^{\circ}\\\\\Rightarrow\ x=85\times0.89100652418\\\\\Rightarrow\ x=75.7355545553\approx75.7\ cm[/tex]
Hence, the value of x = 75.7 cm
A quarter is approximately 0.07 inches thick. A dollar bill is approximately 4.3 × 10-3 inches thick.
A is thicker than a by m × 10n inches, where m = and n = .
Answer:
m = 6.57 and n = -2
Step-by-step explanation:
To answer this question you will covert the thickness of a dollar to standard notation and then compare the two values.
0.07 =compared to 0.0043 = 0.0657
0.0657 = 6.57 x 10^-2
A quarter is thicker than a dollar by 6.57 x 10^-2.
m = 6.57 and n = -2
m = 6.57 and n = -2
Step-by-step explanation:
To answer this question you will covert the thickness of a dollar to standard notation and then compare the two values.
0.07 =compared to 0.0043 = 0.0657
0.0657 = 6.57 x 10^-2
A quarter is thicker than a dollar by 6.57 x 10^-2.
m = 6.57 and n = -2
Craig earns the same amount of money each month. His electric bill is 1/15 his monthly earnings, and he pays a total of $1,320 each year for his electric service. How much does Craig earn each month, in dollars?
Answer:
1650
Step-by-step explanation
1320/12=110
110x15=1650
Perry is considering trying to open a new business within the next few years, and he is doing research to determine what kind of businesses tend to be successful. So far, he has compiled two tables. The first shows the number of businesses of several types started in Perry’s city over the course of two years, and the number of those businesses which did not succeed and were forced to shut down within two years of opening. The second deals with separate records of successful new businesses, showing how much profit those new businesses turned over two years. Businesses on the boundary lines fall in the lower category.
Type
Food
Retail
Financial
Service
Opened
3,193
2,280
1,898
5,045
Closed
1,977
1,626
1,443
3,548
Up to $25k
$25-50k
$50-75k
$75-100k
Over $100k
Food
945
623
601
258
114
Retail
813
548
347
188
63
Financial
316
244
195
86
51
Service
979
739
432
174
124
Using the tables as experimental data, determine whether it is more likely for a new food establishment to succeed and earn up to $25,000, or whether it is more likely for a new financial establishment to succeed and earn profits in either the $25,000-50,000 range or the $50,000-75,000 range, and how much more likely the one situation is than the other. Express all probabilities as percentages to two decimal places, and express differences by number of percentage points (for example, 23% is 5 percentage points greater than 18%).
a.
The situation involving the financial establishment has a probability 11.14 percentage points higher than the situation involving the food establishment.
b.
The situation involving the financial establishment has a probability 12.03 percentage points higher than the situation involving the food establishment.
c.
The situation involving the food establishment has a probability 2.08 percentage points higher than the situation involving the financial establishment.
d.
The situation involving the food establishment has a probability 2.36 percentage points higher than the situation involving the financial establishment.
Please select the best answer from the choices provided
A
B
C
D
The probability of a new financial establishment succeeding and making profits in either the $25,000-$50,000 range or the $50,000-$75,000 range is 18.59 percentage points higher than the probability of a new food establishment succeeding and earning up to $25,000. None of the given options (A-D) are correct.
Explanation:To answer Perry’s question, we first need to calculate the success rate for the different types of businesses. The success rate can be calculated by subtracting the number of closed businesses from the number opened, and this result is divided by the number opened initially.
For food businesses, the success rate = (3193 - 1977)/3193 = 38.06%. Next, from those successful new food businesses, 945 out of 1216 make up to $25,000, hence the probability is 945/1216 * 100 = 77.67%.
For financial businesses, the success rate = (1898 - 1443)/1898 = 23.97%. Among those successful new financial businesses, 244 out of 455 are making profits in the range of $25,000 - $50,000 and 195 out of 455 are in the range of $50,000 - $75,000. The combined probability is (244+195)/455 * 100 = 96.26%.
This demonstrates that the probability of a new financial establishment succeeding and making profits in either the $25,000-$50,000 range or the $50,000-$75,000 range (96.26%) is higher than the probability of a new food establishment succeeding and making up to $25,000 (77.67%), by 18.59 percentage points.
Therefore, none of the given options (A-D) are correct.
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What is the effect on the volume of a sphere if the radius is divided by 2?
Answer:
volume of sphere if radius is divided by 2 is 1/8 of volume of sphere with r radius.
Step-by-step explanation:
The formula to find volume of sphere is:
Volume of sphere = 4/3 π r^3
if radius is divided by 2 i.e r/2
Volume of sphere if r/2 = 4/3 π (r/2)^3
= 4/3 π r^3/8
= (4/3 π r^3) / 8
= (Volume of sphere 1)/8
So, volume of sphere if radius is divided by 2 is 1/8 of volume of sphere with r radius.
Answer:
The volume become 1/8 th of the initial volume
Step-by-step explanation:
Points to remember
Volume of sphere V = 4/3(πr³)
Where r is the radius of sphere
It is given that radius of sphere is r/2
To find the effect in volume
Here r = r/2
V = 4/3(πr³)
V = 4/3(π(r/2)³)
= 4/3(πr³/8)
= 1/8( 4/3(πr³)
New volume = 1/8(V)
Hurry and answer!
Will mark brainliest
Answer:
the first year 8
the second 16
the third 24
hope this helps
give me a five star plz
I need this two questions
Just solve.
[tex](17-k)^3\\k=12 \\ \\ (17-12)^3 \\ \\ (5)^3 \\ \\ 125\\[/tex]
[tex]\\\\(5+2n)^5 \\ n=-2 \\ \\ (5+2(-2))^5 \\ \\ (5-4)^5 \\ \\ (1)^5 \\ \\ 1[/tex]
HEEEEELLLLPPPPPPP
THE VALUE OF X IS __
Answer:
x=3
Step-by-step explanation:
25x+57+x=45x
26x+57=45x
57=19x
x=57/19
x=3
ANSWER
x=3
EXPLANATION
Use the exterior angle theorem:
25x°+(57+x)°=45x°
Group similar terms,
57=45x-25x-x
19x=57
Divide both sides by 19.
x=3
The graph represents the height y, in feet above the ground of a rock x seconds after it is dropped from a building. Which statement is true? Select each correct answer.
-the rock hits the ground in 45 s.
-the rock rises above 45 ft before falling toward the ground.
-the maximum height of the rock occurs at x=0
-the rock is in the air for 3 s.
-the Maximum height of the rock is 45 ft.
Answer:
B.
Step-by-step explanation:
If you look at the graph carefully, the graph/line is starting to fall at (0,45) which is the starting point or dropping point.
I hope this helped =)
solve 14n+6p-8n=18 for n
N = 3 - Y
- You isolate the variable by dividing each side by factors that don't contain any variables what so ever.
- Ouma
Answer:
n = 3 - p
Step-by-step explanation:
Given
14n + 6p - 8n = 18 ← simplify left side
6n + 6p = 18 ( subtract 6p from both sides )
6n = 18 - 6p ( divide both sides by 6 )
n = [tex]\frac{18-6p}{6}[/tex] = [tex]\frac{18}{6}[/tex] - [tex]\frac{6p}{6}[/tex] = 3 - p
Maria want to make a footstool in the shape of a cylinder, as show below. She wants to fill the footstool with foam and cover it with fabric. r=12in by h=18in
Answer:
She'll need 8143 cubic inches of foam and 1,809.6 square inches of fabric.
Step-by-step explanation:
Assuming you want to know how much foam and fabric she will need...
First the foam... so we need to determine the volume of that footstool. The Volume of a cylinder is given by:
V = π * r² * h
So, we plug in the numbers:
V = π * 12² * 18 = π * 144 * 18
V = 2,592 π = 8143 cubic inches.
Now for the fabric... we'll assume Maria wants to cover the side of the stool and the top, but not the bottom.
The side of the stool is basically a rectangle of width of 18 inches and a length of the circumference of the base of the stool. The circumference is given by: C = 2 π * r of course, so C = 24π = 75.14 inches.
So the lateral surface of the cylinder is:
LS = 18 * 75.14 = 1,357.2 sq inches.
Then we need to calculate the area of the top... which is easy:
A = π * r² = π * 12² = 144 π = 452.4 sq inches
So, to cover the lateral side of the footstool and its top, she needs to use:
TA = 1,357.2 + 452.4 = 1,809.6 sq inches of fabric.
the angle of elevation necessary for a hit ball to just clear the center field fence is not the only factor that goes into determining whether the ball clears the fence what might be some other determining factors, and how do they play a role on the ball’s final destination? Provide at least two other determining factors
Answer:
Step-by-step explanation:
Along with the angle of elevation, the initial velocity of the ball will determine how far and how high it goes.
Also, the initial height that the ball is hit from, as well as the horizontal distance from the fence, will affect whether the ball clears the fence.
There's also the acceleration of gravity, but here on Earth, that doesn't change much near the surface.
How do I write these circles in standard form?
Answer:
A: [tex](x-0)^{2} +(y-0)^{2} = 2^{2}[/tex]
or [tex]x^{2} +y^{2} =4[/tex]
B: [tex](x-5)^{2} +(y+4)^{2} =9[/tex]
Check the picture below.
[tex]\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{}{ h},\stackrel{}{ k})\qquad \qquad radius=\stackrel{}{ r} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{small}{circle}~~ \begin{cases} r=2\\ h=0\\ k=0 \end{cases}\implies (x-0)^2+(y-0)^2=2^2\implies x^2+y^2=4 \\\\\\ \stackrel{large}{circle}~~ \begin{cases} r=3\\ h=5\\ k=-4 \end{cases} \\[3em] [x-5]^2+[y-(-4)]^2=3^2\implies (x-5)^2+(y+4)^2=9[/tex]
If the reserve rate is 4% and the bank receives a deposit of 12000 how much of the 12000 is the bank free to Loan
Answer:
11,520
Step-by-step explanation:
The reserve rate simply refers to the amount the bank sets aside as reserves. In this case, the bank sets aside 4% of deposits made by its customers implying the bank would loan out 96% of all deposits made; so we have
12000x 0.96 = 11,520 is free to loan out
What is the value of |−25|? Numerical Answers Expected! Answer for Blank 1:
Answer:
25
Step-by-step explanation:
The absolute value function always returns a positive result which represents the magnitude of the input.
The magnitude of -25 is 25. The magnitude of 25 is 25.
Thus, |−25| = 25.
ANSWER: 25
Every time you see that sign ( | | )is the number without a sign example: |-56|= 56 ; |-37282|=37282.
-1/6×(-9/7)
I need help with this question
3/14
When you multiply two negative numbers together, the negatives cancel each other out and you get a positive answer. So, you can just forget about the negative signs. This leaves us with 1/6 * 9/7.
To multiply a fraction, multiply the numerators together and multiply the denominators together. So, multiply 1 * 9 to get 9, and multiply 6 * 7 to get 42. This means the answer is 9/42.
However, the numerator and denominator share a factor, and that is 3. So, you can divide the numerator and the denominator each by 3 to simplify the fraction to 3/14.
what is 2 3/5 × -4/3
Answer:
- 52/15 your welcome
Step-by-step explanation:
What is the surface area and volume of
a sphere that has a diameter of 12?
SA =
V=
sa- is 113.04 i think
[tex]\bf \textit{surface area of a sphere}\\\\ SA=4\pi r^2~~ \begin{cases} r=radius\\ \cline{1-1} r=6 \end{cases}\implies SA=4\pi (6)^2 \\\\\\ SA=144\pi \implies SA\approx 452.39 \\\\[-0.35em] ~\dotfill\\\\ \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\ \cline{1-1} r=6 \end{cases}\implies V=\cfrac{4\pi (6)^3}{3} \\\\\\ V=288\pi \implies V\approx 907.78[/tex]
write an equation that would allow you to solve the following problem. mart'a jump rope is 10 inches shorter than 3 times the length of dilbert's rope. if both of their ropes laid together end-to-end measure 120 inches long, how long is Marta's jump rope?
Answer:
Step-by-step explanation:
m=marta's rope
d=dilbert's rope
3d-10=m
m+d=120
Then you can substitute equation 1 into the second one
(3d-10)+d=120
3d-10+d=120
4d-10=120
4d=130
d=32.5
m+d=120
m+32.5=120
m=120-32.5
State whether the system is consistent and independent, consistent and dependent or inconsistent. -35x + 40y = 55 7x = 8y - 11
Answer:
Dependent
Step-by-step explanation:
The given system of equations is inconsistent.
Explanation:The given system of equations is:
-35x + 40y = 55
7x = 8y - 11
To determine if the system is consistent and independent, consistent and dependent, or inconsistent, we need to solve the system of equations and analyze the solution.
We can start by rearranging the second equation to solve for x:
7x - 8y = -11
Next, we can multiply the first equation by 7:
-245x + 280y = 385
Now, we can add the two equations together:
-245x + 280y + 7x - 8y = 385 - 11
-238x + 272y = 374
Simplifying this equation:
-119x + 136y = 187
We can see that the coefficients of x and y in this equation are not equal to the coefficients in the original equations. Hence, the lines represented by the equations do not intersect and the system is inconsistent.
Therefore, the answer is: The system is inconsistent.
(1,4) (3,10) what’s the slope, y-intercept and standard form [y=my+b]
Hey there! :)
Given the coordinates (1, 4) & (3, 10), we must find the slope, y-intercept, and standard form.
Keep in mind that in order to find the slope, we must use the slope formula, which is : [tex]m = \frac{y_{2-y_{1} } }{x_{2}-x_{1} }[/tex]
(1, 4) is our first set of coordinates while (3, 10) is our second set. Meaning that for 1 = x1, 4 = y1 while 3=x2, 10 = y2
Using this information, simply plug into our slope formula.
m = (10-4) / (3-1)
Simplify/
m = 6/2 --> 3
Therefore, our slope is 3.
Now, use the point-slope form to figure out what the y-intercept is.
y - y1 = m(x - x1)
Plug in using the above coordinates and our slope, which is 3.
y - 4 = 3(x - 1)
Simplify!
y - 4 = 3x - 3
Add 4 to both sides.
y = 3x + 1
This means that 1 is our y-intercept.
This is also our equation in standard form.
Hope this helped! :)
A point is chosen at random in the larger circle. What percent of the time will the point be in the shaded region? Round to the nearest tenth of a percent.
Please help me!!
Answer:
The dot will land on red 74.8% of the time
Step-by-step explanation:
To start off we need to find the Area of the whole circle. We can calculate this by using the Area of a Circle Formula on the larger circle measurement.
[tex]A = \pi r^{2}[/tex] .... A is Area, and r is radius.
[tex]A = \pi 8.01^{2}[/tex]
[tex]A = \pi *64.1601[/tex]
[tex]Aw = 201.56in^{2}[/tex] .... rounded to the nearest hundredth
So now we know that the area of the WHOLE circle is [tex]201in^{2}[/tex]. Now we need to find the area of the inner white circle.
[tex]Aw = \pi 4.02^{2}[/tex]
[tex]Aw = \pi *16.1604[/tex]
[tex]Aw = 50.77in^{2}[/tex] .... rounded to the nearest hundredth
Now that we have the area of the whole circle and the area of the smaller inner circle we subtract them to find the area in red.
[tex]Ar = 201.56in^{2} - 50.77in^{2}[/tex]
[tex]Ar = 150.79in^{2}[/tex]
Lastly, we divide the Area in Red by the total Area to get the percentage of time the dot will land on red.
[tex]d = \frac{150.79in^{2} }{201.56in^{2} }[/tex]
[tex]d = 0.748 * 100[/tex] .... multiply by 100 to turn decimal into a percent.
[tex]d = 74.8[/tex]
Finally, we can see that the dot will land on red 74.8% of the time.
I hope this answered your question. If you have any more questions feel free to ask away at Brainly.
To find the percent of the time that the point will be in the shaded region of the larger circle, we need to find the ratio of the area of the shaded region to the area of the larger circle and convert it to a percentage.
Explanation:To find the percent of the time that the point will be in the shaded region, we need to find the ratio of the area of the shaded region to the area of the larger circle. Let's say the radius of the larger circle is R, and the radius of the smaller shaded circle is r. The area of the larger circle is πR2 and the area of the shaded circle is πr2. So the ratio is πr2 / πR2 = r2 / R2. The percentage is then (r2 / R2) * 100. Round this to the nearest tenth of a percent to get the final answer.
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The swimming team has competed 45 races this season. They have won 30 races so far. How many races will the team need to win today for the team to have a 75% success rate?
Answer:
The team needs to win 15 races today.
Step-by-step explanation:
The team has completed 45 races so far and has won 30 so far.
The current success rate is
[tex]r = \frac{30}{45} * 100\% = 66.7\%[/tex]
We need this success rate to be 75%
Then the team must win a number x of races such that
[tex]r = \frac{30 + x}{45 + x} = 0.75[/tex]
Now we solve the equation for x.
[tex]\frac{30 + x}{45 + x} = 0.75\\\\30 + x=0.75(45 +x)\\\\30 + x=0.75(45) +0.75x\\\\x- 0.75x = 33.75-30\\\\0.25x = 3.75\\\\x= \frac{3.75}{0.25}\\\\x=15[/tex]
Finally the team need to win 15 carreras today
Answer: 15 races
Proof of validity is shown below.
What is the vertex of the graph of y = x² + 4x?
(-2, -12)
(-2,-8)
(-2,-6)
(-2,-4)
Answer:
(-2,-4)
Step-by-step explanation:
in this exercise I have the formula of the parable expressed as:
[tex]y=ax^{2} +bx+c[/tex]
I can write it in its "vertex form"
[tex]y=a(x-d)^{2} +e[/tex] being (d,e) the coordinates of the vertex of said parabola.
by clearing the equation I can see that [tex]d=\frac{-b}{2a}[/tex] so I substitute[tex]d=-\frac{4}{2*1} =-2[/tex]
Now taking d as the value for the x axis of the vertex coordinate, I substitute d in x, in the initial equation
[tex]y=x^{2} +4x =(-2)^{2}+4(-2)=4-8=-4[/tex]
So finally, I have the coordinates of the vertex of the parabola are (-2,-4)
Done
Directions: Type your answer in the box.
a woman has 6 apples. She needs 1/4
of an apple to prepare one serving of fruit salad
how many servings can she prepare with these 6 apples?
Answer:
24
Step-by-step explanation:
Write a proportion. 1 serving is to ¼ apples as x servings is to 6 apples.
1 / ¼ = x / 6
Cross multiply:
¼ x = 6
Multiply both sides by 4:
x = 24
She can prepare 24 servings with 6 apples.
The question is in the picture. Help please.
Answer:
≈ 2.1 m
Step-by-step explanation:
Given
v = [tex]\sqrt{9.8d}[/tex] ← substitute v = 4.5
4.5 = [tex]\sqrt{9.8d}[/tex] ← square both sides
4.5² = 9.8d
20.25 = 9.8d ← divide both sides by 9.8
d = 2.0663 ≈ 2.1 m ( nearest tenth )
Please need help on this
Answer:
Step-by-step explanation:
The first question is true. In order for a relation to be a function, it has to have only one x value for every y value. y = 3x - 5 is a straight line, so it doesn't share any x values with any y values. In other words, each x value in that graph will not be "used" more than once. Also, the function will pass the vertical line test. this means that if you draw a perfectly vertical line through the function ANYWHERE it will only go through the function at a single point.
The second question is false. There are several different types of functions that come to mind right away, besides a straight line. There's a parabola, which opens up like a "u" (at least the positive one does!), an absolute value function, a cubic function, an exponential function, a log function...
Hope that helps!
what the midpoint (2,3) and (12,3)
Answer:
(7, 3)Step-by-step explanation:
The formula of a midpoint:
[tex]\left(\dfrac{x_1+x_2}{2};\ \dfrac{y_1+y_2}{2}\right)[/tex]
We have (2, 3) and (12, 3).
Substitute:
[tex]x=\dfrac{2+12}{2}=\dfrac{14}{2}=7\\\\y=\dfrac{3+3}{2}=\dfrac{6}{2}=3[/tex]
Answer: (7,3)
Step-by-step explanation:
See the paper attached. (:
Marge has a flat tire and needs to change it. To loosen the lug nuts, she has two wrenches: one is 12 inches long and the other is 18 inches long. Which wrench will generate more torque and make her job easier? Explain why using calculations to back you up.
For items requiring calculations, either show your work or describe how to calculate it
Answer: Hey i am single and ready to mingle
Step-by-step explanation:
I need someone
The 18-inch wrench will generate more torque and make it easier for Marge to loosen the lug nuts because torque is the product of the force applied and the lever arm, and the longer wrench provides a larger lever arm.
The wrench that Marge should use to generate more torque and make her job easier when changing a flat tire is the one that is 18 inches long. This is because torque (au) is calculated as the product of the force (F) applied and the distance (r) from the pivot point, with the equation torque (au) = force (F) × lever arm (r). Since the wrenches provide the lever arm and assuming the same force is applied to both, the longer wrench will provide greater torque due to a larger r.
For example, if Marge exerts a force of 100 newtons, the torque generated by each wrench would be:
12-inch wrench: au = 100 N × 0.305 m = 30.5 N.m (since 12 inches is approximately 0.305 meters)
18-inch wrench: au = 100 N × 0.457 m = 45.7 N.m (since 18 inches is approximately 0.457 meters)
The 18-inch wrench generates 45.7 N.m of torque, compared to 30.5 N.m with the 12-inch wrench, thus the 18-inch wrench will make loosening the lug nuts easier.