Answer:
6:7 is the answer to the question
74.55 divided by 5
I’m not sure of the answer I need some help
Answer:
14.91
Step-by-step explanation:
Have a good day :)
Answer:
The answer is 14.91
Step-by-step explanation:
To find the answer we must first see how many times 5 can go into 74.55. Since 5 x 14.91 = 74.55, then it means that our answer is 14.91.
Question 1
Use the figure below to answer your the following question.
2 feet
The figure above is a cube. What is the total surface area of the cube?
A. 6 square feet
B. 20 square feet
C. 8 square feet
D. 24 square feet
Question 2
A campsite provides a locking rectangular box with the dimensions shown below to secure food from bears.
3 feet
5 feet
2 feet
What is the surface area of the box?
A. 30 square feet
B. 62 square feet
C. 31 square feet
D. 72 square feet
Question 3
Gina is painting the rectangular tool chest shown in the diagram below.
24 in.
12 in.
10 in.
If Gina paints only the outside of the tool chest what is the total surface area in square inches (in.²) she will paint
A. 368
B. 648
C. 1296
D. 2880
Question 5
A triangular prism is pictured below.
6cm
5cm
6.5cm
6.5cm
16cm
What is the surface area of the prism?
A. 240 cm²
B. 318 cm²
C. 270 cm²
D. 348 cm²
Answer 1:
D. 24 sq feet
The formula to find surface area of a cube is \(a=6a^{2}\)
Substitute 2 for a, \(2^{2} = 4\)
6 x 4 = 24, so 24 sq feet
Answer 2:
B. 62 sq feet
The formula to find surface area of a rectangular prism is \(a = 2(wl+wh+hl)\)
Substitute 3 for w, 5 for l, 2 for h and multiply
a = 62 sq feet
Answer 3:
C. 1296 sq inches
The formula to find surface area of a rectangular prism is \(a = 2(wl+wh+hl)\)
Substitute 24 for w, 12 for l, 10 for h and multiply
a = 1296 sq inches
There are 200 different pieces of fruit in a barrel. There are 42 apples, 82 oranges, and 76 pears. Which of the following events have a probability that is less than 0.4?
Answer:
The apples
Step-by-step explanation:
Write an inequality that represents the graph.
Answer:
fncscscsdcsdcsadcsddcscsdcs
Step-by-step explanationso you do nine 9 x9
(Circle Graphs MC)
A group of 450 middle school students were randomly selected and asked about their preferred television genre. A circle graph was created from the data collected.
a circle graph titled preferred television genre, with five sections labeled drama 14 percent, sports, documentaries 24 percent, reality 20 percent, and sci-fi 20 percent
How many middle school students prefer the Sports television genre?
99
79
78
22
Answer:
99
Step-by-step explanation:
The circle graph shows that the "Sports" section represents 24% of the total. To find out how many students that corresponds to, we can calculate 24% of the total number of students:
24% of 450 = 0.24 × 450 = 108
Therefore, there are 108 students who prefer the Sports television genre. However, none of the answer choices match this result exactly. The closest option is 99, which is approximately 91.7% of 108. If we round 91.7% up to the nearest whole number, we get 92, which is closer to 99 than any of the other answer choices. So we can conclude that the answer is:
99 (approximately)
Answer:
(a) 99
Step-by-step explanation:
You want to know the number of middle school students who prefer the Sports television genre, given 14, 24, 20, and 20 percent of 450 students prefer drama, documentaries, reality, and sci-fi, respectively.
PercentThe percentage of students who prefer Sports is the difference between 100% and the sum of the other percentages:
sports = 100% -(14 +24 +20 +20)% = 22%
This fraction of the 450 students is ...
0.22 × 450 = 99
99 middle school student prefer the Sports genre, choice A.
<95141404393>
what is 8x3(5+80)(73x373)-5
Answer:
55547155
Step-by-step explanation:
Need some help, kinda stuck
Answer:
7/4
Step-by-step explanation:
\( \displaystyle\frac{2 + \sqrt{ - 3} }{2} ( \frac{2 - \sqrt{ - 3} }{2} )~~~~~~ \)
Evaluate.
Solution:
Rewrite it as,
\( \displaystyle\frac{2 + \sqrt{ - 1 } \sqrt{ 3} }{2} ( \frac{2 - \sqrt{ - 1} \sqrt{3} }{2} )\)\( \displaystyle\frac{2 + i\sqrt{ 3} }{2} ( \frac{2 - i\sqrt{ 3} }{2} )~~~~~~ \)Multiplying them,
\( \displaystyle\frac{(2 + i\sqrt{ 3})\times(2 - i \sqrt{3}) }{2 \times 2} \)\(\displaystyle\frac{(2 + i\sqrt{ 3})\times(2 - i \sqrt{3}) }{4} \)Applying Distributive property,
\(\displaystyle\frac{2(2 + i\sqrt{ 3}) + \: i \sqrt{3} (2 - i \sqrt{3}) }{4} \)\( \cfrac{2 \times 2 + 2( - i \sqrt{3} ) + i \sqrt{3}(2 - i \sqrt{3} ) }{4} \)\( \cfrac{2 \times 2 + 2( - i \sqrt{3}) + i \sqrt{3} \times 2 + i \sqrt{3} ( - i \sqrt{3}) }{4} \)Combining each terms,
\( \cfrac{4 - 2i \sqrt{3} + 2i \sqrt{3} + 3}{4} \)\( \cfrac{ - 2i \sqrt{3} + 2i \sqrt{3} + 7 }{4} \)\( \boxed{\cfrac{ 7}{4} }\)Last Choice is accurate.
∠A and \angle B∠B are complementary angles. If m\angle A=(4x-28)^{\circ}∠A=(4x−28)
∘
and m\angle B=(x-2)^{\circ}∠B=(x−2)
∘
, then find the measure of \angle A∠A
Answer:
∠A = 26°
Step-by-step explanation:
Supplementary angles total 180°.
∠A +∠B = 180°
(x -16)° +(3x +28)° = 180°
4x° + 12° = 180°
x° +3° = 45°
x° = 42°
∠A = (x -16)° = 42° -16°
∠A = 26°
brainliest please?
Use inverse operations to solve the equation.
−4x = 52
Answer:
x=-13
Step-by-step explanation:
divide 52 by -4 to get x=-13
Answer:
x = -13
Step-by-step explanation:
−4x = 52
Divide both sides by -4 to isolate the variable
-4x/-4 = 52/-4
x = - 13
Check:
Substitution
-4 (-13) = 52
52 = 52
* 2 negatives make a positive
Hope this helped!
Which explains why the commutative property of addition does not work for subtraction?
The commutative property of addition states that the order of the numbers being added does not affect the result. For example, the sum of 2 + 3 is the same as the sum of 3 + 2, which is 5.
The commutative property of addition does not work for subtraction because subtraction is not commutative. In subtraction, the order of the numbers being subtracted does affect the result. For example, the difference of 3 - 2 is 1, but the difference of 2 - 3 is -1.
The reason for this is that subtraction is the inverse operation of addition and the inverse operation of a commutative operation is not always commutative. In addition, subtraction is not commutative because when we subtract the smaller number from the larger number, we get a positive result but when we subtract the larger number from the smaller number we get a negative result.
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Maria will spin the arrow on the spinner 2 times. What is the probability that the arrow will stop on the same letter twice?.
Probability that the arrow will stop on the same letter twice = 1/3 (c).
What is probability?
The area of arithmetic called likelihood deals with numerical representations of the chance that a happening can occur or that an announcement is true.
Main body:
Given : Maria will spin the arrow on the spinner 2 times.
To find : What is the probability that the arrow will stop on the same letter twice.
Solution : We have given a spinner that spin twice and stop on the same letter.
Formula for probability = no. of favourable outcome/ total outcomes
Here, total part of spinner = 3 and it spin two times
So, total possible outcome = 6. Arrow stay on same letter twice( favorable outcome) =2.
Plugging the values in formula :
Probability = 2/6
Probability = 1/3
Therefore, probability that the arrow will stop on the same letter twice = (c).
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Please help I really don’t get these!
how do you solve this problem to find the measure of the angle indicated in bold? thank you pls answer!
Answer: 85 degrees
Step-by-step explanation: 20x+5+24x-1=180
44x+4=180
-4 -4
44x=176
division property of equality x=4
20(4)+5=
80+5= 85 degrees
What’s the answer for 1 and 2
Answer:
Step-by-step explanation:
1...
1000*0.03=30
so theres an addition $30 added every year
There are 12 months in a year so 30/12=$2.5
He pays $2.5 each month sooooo
2.5*3
would be $7.5 in interest
2...i have no clue im sorry :((((
Helppp!!!!!!!!!!!!!!!!!!!!!
The value of x is equal to 15°
How to determine the value of x?In Mathematics and Geometry, the sum of the exterior angles of both a regular and irregular polygon is always equal to 360 degrees.
Note: The given geometric figure (regular polygon) represents a pentagon and it has 5 sides.
By substituting the given parameters, we have the following:
3x + 4x + 8 + 5x + 5 + 6x - 1 + 5x + 3 = 360°.
3x + 4x + 5x + 6x + 5x + 8 + 5 - 1 + 3 = 360°.
23x + 15 = 360°.
23x = 360 - 15
23x = 345
x = 345/23
x = 15°.
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Find r, T, N, and B at the given value of t. Then find the equations for the osculating, normal, and rectifying planes at that value of t. r(t) = (cos t)i + (sin t)j - 5k, t = pi/2 r(pi/2) = (0)i + (1)j + (-5)k (Type exact answer, using radicals as needed.) T(pi/2) = (-1)i + (0)j + (0) k (Type exact answer, using radicals as needed.) N(pi/2) = (0)i + (-)j + (0)k (Type exact answer, using radicals as needed.) B(pi/2) = (0)i + (0)j + (1)k (Type exact answer, using radicals as needed.) Choose the correct equation for the osculating plane at t = pi/2. -y = -1 -x = 0 z = -5 Squareroot 3/2 x + 1/2 y = 5
the equations for the osculating, normal, and rectifying planes at t = pi/2 are:
Osculating plane: z = -j * (t - pi/2) - 5
Normal plane: y = -i * (t - pi/2) + 1
Rectifying plane: x = 1.
To find the values of r, T, N, and B at t = pi/2, we first need to calculate r(pi/2) and its derivatives.
r(t) = (cos t)i + (sin t)j - 5k
r(pi/2) = (cos(pi/2))i + (sin(pi/2))j - 5k
= 0i + 1j - 5k
= <0, 1, -5>
To find T(pi/2), we need to take the derivative of r(t) and evaluate it at t = pi/2.
r'(t) = (-sin t)i + (cos t)j + 0k
r'(pi/2) = (-sin(pi/2))i + (cos(pi/2))j + 0k
= -i
Since T(pi/2) is the unit tangent vector at t = pi/2, we need to normalize r'(pi/2) to get T(pi/2).
|T(pi/2)| = |r'(pi/2)| = |-i| = 1
T(pi/2) = r'(pi/2) / |r'(pi/2)|
= (-i) / 1
= -i
= <-1, 0, 0>
To find N(pi/2), we need to take the second derivative of r(t) and evaluate it at t = pi/2.
r''(t) = (-cos t)i - (sin t)j + 0k
r''(pi/2) = (-cos(pi/2))i - (sin(pi/2))j + 0k
= 0i - 1j + 0k
= <0, -1, 0>
Since N(pi/2) is the unit normal vector at t = pi/2, we need to normalize r''(pi/2) to get N(pi/2).
|N(pi/2)| = |r''(pi/2)| = |<0, -1, 0>| = 1
N(pi/2) = r''(pi/2) / |r''(pi/2)|
= <0, -1, 0> / 1
= <0, -1, 0>
To find B(pi/2), we can use the formula B = T x N, where x denotes the cross product.
B(pi/2) = T(pi/2) x N(pi/2)
= <-1, 0, 0> x <0, -1, 0>
= <0*0 - (-1)*0, 0*0 - 0*0, (-1)*(-1) - 0*0>
= <0, 0, 1>
Therefore, we have:
r(pi/2) = <0, 1, -5>
T(pi/2) = <-1, 0, 0>
N(pi/2) = <0, -1, 0>
B(pi/2) = <0, 0, 1>
To find the equations of the osculating, normal, and rectifying planes at t = pi/2, we can use the following formulas:
Osculating plane: r(pi/2) + [r'(pi/2) x r''(pi/2)] / |r'(pi/2)|^2 * (t - pi/2)
Normal plane: r(pi/2) + [r''(pi/2) x [r'(pi/2) x r''(pi/2)]] / |r''(pi/2)|^2 * (t - pi/2)
Rectifying plane: r(pi/2) x [r'(pi/2) x r''(pi/2)] / |r'(pi/2)|^2
Plugging in the values we found earlier, we get:
Osculating plane: (0)i + (1)j + (-5)k + [(-i) x <0, -1, 0>] / |-i|^2 * (t - pi/2)
= (0)i + (1)j + (-5)k - j * (t - pi/2)
Normal plane: (0)i + (1)j + (-5)k + [<0, -1, 0> x [-i x <0, -1, 0>]] / |<0, -1, 0>|^2 * (t - pi/2)
= (0)i + (1)j + (-5)k + (-i*(t - pi/2)
Rectifying plane: <0, 1, -5> x [-i x <0, -1, 0>] / |-i|^2
= <0, 1, -5> x <0, 0, -1>
= <1, 0, 0>
Therefore, the equations for the osculating, normal, and rectifying planes at t = pi/2 are:
Osculating plane: z = -j * (t - pi/2) - 5
Normal plane: y = -i * (t - pi/2) + 1
Rectifying plane: x = 1.
Note that these equations are in the form of a plane equation ax + by + cz = d, where a, b, c are the components of the normal vector to the plane, and d is the distance from the origin to the plane.
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What is XY? .........................
Answer: B i guess
Step-by-step explanation:
The hypotenuse side XY of given right angle at Z is \(5\sqrt{2}\).
Given that in triangle XYZ :
∠X=45°
∠Y=45°
XY=5
And right angled at Z, that is, ∠Z=90°.
Since, ∠X=∠Y=45°
Therefore, XZ=YZ=5
Now,
\(\sin \theta = \dfrac{hypotenuse}{opposite}\).
Here, θ=45°.
Therefore,
\(\sin \theta=\dfrac{5}{XY}\\\\\sin 45\°^=\dfrac{5}{XY}\\\dfrac{1}{\sqrt{2} } =\dfrac{5}{XY}\\\\XY=5\sqrt{2}\)
Thus, the side XY=\(5\sqrt{2}\).
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aya has 14 2/5 feet of chain. She wants to make pieces foot long math. How many can she make? b Solve the problem using decimals
Aya can make 14 mats of 1 foot long.
What is division?Division is one of the fundamental arithmetic operation, which is performed to get equal parts of any number given, or finding how many equal parts can be made. It is represented by the symbol "÷" or sometimes "/"
Given that, Aya has 14\(\frac{2}{5}\) feet of chain. She wants to make pieces foot long mat.
Let can make x mats out of the given chain, since each mat is 1 foot long, so,
1×x = 14\(\frac{2}{5}\)
x = 72/5
x = 14.4
x ≈ 14
Hence, She can make 14 mats out of the given chain.
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Find three solutions of the equation. y=-2x-1 a. (–2, 3), (1, –3), (2, –4) c. (1, –3), (0, –1), (–1, 0) b. (–2, 3), (1, –3), (0, –1) d. (0, –1), (3, –9), (–2, 3)
The three solutions of the equation y = -2x - 1 are (–2, 3), (1, –3), and (2, –4).
To find the solutions, we substitute different values of x into the equation and solve for y.
For the first solution, when x is –2, we have y = -2(-2) - 1 = 3. Therefore, the first solution is (-2, 3).
For the second solution, when x is 1, we have y = -2(1) - 1 = -3. Thus, the second solution is (1, -3).
For the third solution, when x is 2, we have y = -2(2) - 1 = -4. Hence, the third solution is (2, -4).
These three points satisfy the equation y = -2x - 1, and therefore, they are the solutions of the equation. They represent coordinate pairs (x, y) where the equation holds true.
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Find an expression equivalent to the one shown below.
(8^3)^9 ÷ 8^27
A. 1
B. 8
C. 1/8^15
D. 1/8
Answer:
I believe it would be A. 1
Step-by-step explanation:
\((8^{3} )^{9}\) ÷ \(8^{27}\) = 1
hope this helps
Nine more than a number b is greater than negative three.
Step-by-step explanation:
9+b>-3
b>-3-9
b>-12
any number greater than -12 will result in an answer greater than -3
A breathalyser test is used by police in an area to determine whether a driver has an excess of alcohol in their blood. The device is not totally reliable: 6 % of drivers who have not consumed an excess of alcohol give a reading from the breathalyser as being above the legal limit, while 10 % of drivers who are above the legal limit will give a reading below that level. Suppose that in fact 17 % of drivers are above the legal alcohol limit, and the police stop a driver at random. Give answers to the following to four decimal places.
Required:
a. What is the probability that the driver is incorrectly classified as being over the limit?
b. What is the probability that the driver is correctly classified as being over the limit?
c. Find the probability that the driver gives a breathalyser test reading that is over the limit.
d. Find the probability that the driver is under the legal limit, given the breathalyser reading is also below the limit.
To solve this problem, we can use conditional probability and the given information.
Let's define the following events:
A: Driver is above the legal alcohol limit
B: Breathalyser test reading is above the legal limit
Given information:
P(A) = 0.17 (probability that a driver is above the legal limit)
P(B|A') = 0.06 (probability of a false positive, i.e., driver not above the limit but test shows above the limit)
P(B'|A) = 0.10 (probability of a false negative, i.e., driver above the limit but test shows below the limit)
We can now calculate the probabilities:
a. P(B|A'): Probability of a false positive
P(B|A') = 0.06
b. P(B|A): Probability of a true positive
P(B|A) = 1 - P(B'|A) = 1 - 0.10 = 0.90
c. P(B): Probability of a breathalyser test reading being above the limit
Using the law of total probability:
P(B) = P(B|A) * P(A) + P(B|A') * P(A')
P(B) = 0.90 * 0.17 + 0.06 * (1 - 0.17) = 0.1532 + 0.0502 = 0.2034
d. P(A|B'): Probability of being under the legal limit, given the breathalyser reading is below the limit
Using Bayes' theorem:
P(A|B') = (P(B'|A) * P(A)) / P(B')
P(A|B') = 0.10 * 0.17 / (1 - P(B))
P(A|B') = 0.10 * 0.17 / (1 - 0.2034) = 0.017 / 0.7966 = 0.0213
Therefore, the answers to the four decimal places are:
a. Probability of incorrect classification: 0.0600
b. Probability of correct classification: 0.9000
c. Probability of test reading above the limit: 0.2034
d. Probability of being under the limit given a below limit reading: 0.0213
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Evaluate the integral
1
2
sin ¹(x/4)) ² dx
| (si
- 1
2
[(sin ~'(x/4)) ² dx
√16-x²
2
√16-x²
11
Substitute \(y=\sin^{-1}\left(\frac x4\right)\), so that
\(dy = \dfrac{dx}{4\sqrt{1-\left(\frac x4\right)^2}} = \dfrac{dx}{\sqrt{16 - x^2}}\)
Then the integral is
\(\displaystyle \int \frac{\left(\sin^{-1}\left(\frac x4\right)\right)^2}{\sqrt{16-x^2}} \,dx = \int y^2 \, dy\)
and by the power rule,
\(\displaystyle \int y^2 \, dy = \frac13 y^3 + C\)
so that the original integral is
\(\displaystyle \int \frac{\left(\sin^{-1}\left(\frac x4\right)\right)^2}{\sqrt{16-x^2}} \,dx = \boxed{\frac13 \left(\sin^{-1}\left(\frac x4\right)\right)^3 + C}\)
(8+k³-6k⁴)+(4-3k⁴+8k²)
(8 + k³ - 6k⁴) + (4 - 3k⁴ + 8k²)
8 + k³ - 6k⁴ + 4 - 3k⁴ + 8k²
(8 + 4) + (8k²) + (k³) + (-6k⁴ -3k⁴)
(12) + (8k²) + (k³) + (-9k⁴)
12 + 8k² + k³ - 9k⁴
please help, i will mark you branniest :))
solve for k
3/k = 4/5
Answer:
3/k = 4/5
k = 3 divided by 4/5
k = 3.75
Step-by-step explanation:
What does an extension ladder's size classification indicate?
Select one:
a.The minimum reach when placed at the appropriate climbing angle
b.The ladder's length when the fly section is not extended
c.The maximum building height against which the ladder can be raised
d.The full length to which it can be extended
The correct answer is (D) The full length to which it can be extended.
The size classification of an extension ladder indicates the full length to which it can be extended.
An extension ladder's size classification indicates the total length the ladder can reach when its fly section is fully extended.
This helps users determine if the ladder will be long enough for their specific needs when working at height.
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Answer this math question for 10 points
Hello !
√25x⁴ = 5x²
√y⁵ = y²√y
5x²y²√y
answer a
during a business trip, an individual stopped at two rest stops. at the first rest stop, he counted 15 cars and 20 trucks. at the second rest stop, he counted 17 cars and 22 trucks. at which rest stop did the individual count a higher ratio of cars to trucks?
The individual counted a higher ratio of cars to trucks at the second rest stop, since 17/22 was larger than 3/4.
At the first rest stop, the ratio of cars to trucks was 15:20 or 3:4. At the second rest stop, the ratio of cars to trucks was 17:22 or 17/22. Since 17/22 is larger than 3/4, the individual counted a higher ratio of cars to trucks at the second rest stop. To illustrate this using formulas, we can divide the number of cars by the number of trucks at each rest stop. This gives us 15/20 = 0.75 for the first rest stop and 17/22 = 0.77 for the second rest stop. Since 0.77 is greater than 0.75, the individual counted a higher ratio of cars to trucks at the second rest stop.
At the second rest stop, the individual counted a higher ratio of cars to trucks.The individual counted a higher ratio of cars to trucks at the second rest stop, since 17/22 was larger than 3/4.
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Part C
What is the equation represented by the graph?
to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below
\((\stackrel{x_1}{1}~,~\stackrel{y_1}{8})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{24}) ~\hfill~ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{24}-\stackrel{y1}{8}}}{\underset{\textit{\large run}} {\underset{x_2}{3}-\underset{x_1}{1}}} \implies \cfrac{ 16 }{ 2 } \implies 8\)
\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{8}=\stackrel{m}{ 8}(x-\stackrel{x_1}{1}) \\\\\\ y-8=8x-8\implies {\Large \begin{array}{llll} y=8x \end{array}}\)
Answer:
\(y=8x\)
Step-by-step explanation:
We can see that this line has a constant of proportionality. That is — x is proportional to y and vice versa. This means that the equation for the line's equation will be in the form:
\(y = mx\)
where \(m\) is the ratio of x to y.
This ratio is also known as the line's slope. We can solve for the slope using the equation:
slope = rise / run
slope = \(\Delta\)y / \(\Delta\)x
slope = 8 / 1
slope = 8
\(m=8\)
So, the equation of the line is:
\(y=mx\)
\(\boxed{y=8x}\)
What is 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000x100Divided by 5 mutpliply 200 add 2 million minus 1000
Answer:
21
Step-by-step explanation:
;)