Answer:
28.42 > 28.404
it is true
I WILL GUVE BRAINIEST I NEED ASAP.
A car has 4 cylinders that each have a radius of 4cm and a height of
10. Use 3.14 for pi. Find the volume of a cylinder, solve for the total
volume of the engine in cubic centimeters, then round to the nearest
cubic centimeter.
Answer:
What I got for my answer for one of the cylinders is 502.65
I hope I helped :3 Let me know if your confused on it or need something done plz I will gladly help ^w^
at the town flea market, monica purchases a big box of used tennis balls to throw to her dog. she scoops some tennis balls out of the box at random. here are the colors of the balls: yellow, blue, yellow, red, green, blue, yellow, red, yellow, green, yellow, red, green based on the data, what is the probability of choosing a yellow tennis ball from the box? write your answer as a fraction or whole number. submit
Answer: 5/13
Step-by-step explanation: i did this IXL and got it right
Find the area in quare centimeter of a rectangular orchard 3. 28m long and 75mm wide
Answer:
24.6 cm^2
Step-by-step explanation:
3.28m = 328 cm
75mm = 0.075 cm
Area of rectangle: L x W
328 times 0.075 = 24.6 cm^2
In a series of transformations, which transformation would make two figures similar as opposed to congruent?dilationreflectionrotationtranslation
Answer:
A dilation would make them similar. Similar is the same shape, but not necessarily the same size. A dilation is a transformation that can make figures shrink or expand. The other forms of transformations are rigid. They do not change the size.
Step-by-step explanation:
a force vector points at an angle of 41.5 ° above the x axis. it has a y component of 311 newtons (n). find (a) the magnitude and (b) the x component of the force vector.
the magnitude of the force vector is approximately 470.41 N, and the x component of the force vector is approximately 357.98 N.
(a) The magnitude of the force vector can be found using the given information. The y component of the force is given as 311 N, and we can calculate the magnitude using trigonometry. The magnitude of the force vector can be determined by dividing the y component by the sine of the angle. Therefore, the magnitude is given by:
Magnitude = y component / sin(angle) = 311 N / sin(41.5°)
Magnitude = y component / sin(angle)
Magnitude = 311 N / sin(41.5°)
Magnitude ≈ 470.41 N
(b) To find the x component of the force vector, we can use the magnitude and the angle. The x component can be determined using trigonometry by multiplying the magnitude by the cosine of the angle. Therefore, the x component is given by:
x component = magnitude * cos(angle)
x component = magnitude * cos(angle)
x component = 470.41 N * cos(41.5°)
x component ≈ 357.98 N
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Which is the BEST estimate for the sum of 5/12 + 2/5?
Opinions:0, 1/2 or 1
Answer:
1
Step-by-step explanation:
0.81666666666
Answer:
5/12+2/5
1That is the answer as the real decimal is 0.81666 repeating
Step-by-step explanation:
this is due in 30 mins
11) The pre-image, R at the point (-2, 3) on the grid shown produces an image following the reflection across the line y = 2·x - 3 as follows;
I. The line \(\overline{RR'}\) which is obtained from the image R' following a reflection across the line y = 2·x - 3, is perpendicular to the line y = 2·x - 3, because the points R and R' are vertically opposite each other, therefore, the slope is the negative inverse of the slope of y = 2·x - 3, which is -0.5
II. Please find attached the graph made using MS Excel showing the points R and R'
What is a reflection transformation?A reflection transformation is one in which a point is reflected across a line such that the distances of the image and the pre-image from the line are the same and the line acts like a mirror producing an image of the object.
The coordinates of point R = (-2, 3)
The equation of the line of reflection is; y = 2·x - 3
The coordinates of the image of a point, (x₁, y₁) reflected across a line, a·x + b·y + c = 0, is found as follows;
The image of is found using the formula;
\(\dfrac{x - x_1}{a} =\dfrac{y-y_1}{b} = -\dfrac{2\cdot (a\cdot x_1+b\cdot y_1+c)}{a^2+b^2}\)
The equation, y = 2·x - 3, can be expressed in the form a·x + b·y + c = 0, as follows;
y = 2·x - 3
0 = 2·x - 3 - y
Therefore;
a = 2, b = -1, and c = -3
(x₁, y₁) = (-2, 3)
\(\dfrac{x - (-2)}{2} = -\dfrac{2\times (2\times (-2)- 3-3)}{2^2+(-1)^2}=4\)
\(\dfrac{x +2}{2} = 4\)
x = 2× 4 - 2 = 6
x = 6
\(\dfrac{y-3}{-1} = 4\)
y = 4 ×(-1) + 3 = -1
The coordinates of the image, (x, y) = (6, -1)
The slope of the line is -(1/2)
The equation of the perpendicular line is therefore;
(y - 3) = -0.5·(x - (-2)) = -0.5·x - 1
y = -0.5·x - 1 + 3 = -0.5·x + 2
Equation of the perpendicular line through R; y = -0.5·x + 2
The intersection point is therefore;
-0.5·x + 2 = 2·x - 3
2.5·x = 5
x = 5 ÷ 2.5 = 2
y = 2×2 - 3 = 1
y = 1
The point is therefore, (2, 1)
The difference in the x-values = 2 - 2 = 4
The difference in the y-value = 1 - 3 = -2
Therefore, 4 is added to the x-value of the point (2, 1) and 2 is subtracted to get the image as follows;
(x, y) = (2 + 4, 1 - 2) = (6, -1)
The slope of \(\overline{RR'}\) = (3 - (-1))/(-2 - 6) = -0.5
b. Graphically, the equation of the line \(\overline{RR'}\) can be used to find the point R', by adding the horizontal distance and subtracting the vertical distance of the point R from the the point of intersection of the two lines.
Please find attached the graph showing R and the image R' created with MS Excel.
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(but does not require a calculator).
Calculate the density of an irregularly shaped solid reporting to the correct number of significant
figures. The volume of the solid was found by placing the solid into a graduated cylinder filled with
water with an initial volume of 15.0-mL. The final water level volume with the solid was 17.0-mL.
The mass of the solid was 10.0 g.
• This calculation involves multiple operations. Make sure you do the operations separately and
round at end.
O 5 g/mL
O 5.00 g/mL
O 2.0 g/mL
5.0 g/mL
O 2.00 g/mL
The density is:
D = 10g/2mL = 5 g/mL
The correct option is the first one.
How to get the density?Remember that density is defined as the quotient between mass and volume.
We know that the mass of the solid is 10.0 grams.
And the volume of the solid is given by the difference between the volume of the water alone (15.0 mL) and the water with the solid (17 mL).
V = 17mL - 15mL = 2mL
Then the density is:
D = 10g/2mL = 5 g/mL
The correct option is the first one.
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The matrix A is invertible with an eigenvector x corresponding to the eigenvalue λ. Which of the following is/are true? I : Ax=λx II : A −1
x= λ
1
x III : det(A−λI)=0 Matrix A is of size 3×3 and has eigenvalues λ 1
=1,λ 2
=0 and λ 3
=−1. Corresponding eigenvectors are v 1
= ⎝
⎛
1
1
1
⎠
⎞
,v 2
= ⎝
⎛
1
0
−1
⎠
⎞
and v 3
= ⎝
⎛
1
2
0
⎠
⎞
respectively. The vector x is such that x=v 1
+v 2
+v 3
Given that Ax=y, then the value of y T
is Select one: A. (−1,1,−1) B. (1,0,−1) c. (1,−1,1) D. (0,−1,1) E. (1,1,1) Consider the system written in augmented form as (A∣b). Using elementary row operations, the echelon system that is row-equivalent to (A∣b) is ⎝
⎛
1
0
0
−2
0
0
1
2
0
−1
3
0
0
−2
0
⎠
⎞
Which of the following is true? I : Rank(A)=2 II : The general solution has 2 free variables III : dim( Column Space )=2 The linear transformation T:R 3
→R 3
is such that T(x,y,z)=(0,0,z). What is kernel of T ? Select one: A. {(t,0,0)} where t∈R B. {(t,p,0)} where t,p∈R c. {(0,0,t)} where t∈R D. {(0,0,0)} E. {(t,t,0)} where t∈R
The kernel of the linear transformation T is the set of all vectors that are mapped to the zero vector by T.
I : Ax = λx is true. This statement represents the definition of an eigenvector, where multiplying matrix A by eigenvector x results in a scalar multiple (eigenvalue λ) of x.
II : \(A^{-1\)x = λ\(.^{-1}\)x is true. If x is an eigenvector of matrix A with eigenvalue λ, then x is also an eigenvector of the inverse of A with eigenvalue λ\(.^{-1}\). This is because if Ax = λx, then multiplying both sides by \(A^{-1\) gives x = λ\(.^{-1}\)\(A^{-1\)x.
III : det(A-λI) = 0 is true. This is the characteristic equation of matrix A and is used to find the eigenvalues. Setting the determinant of A minus λ times the identity matrix equal to zero will give the eigenvalues.
Regarding the second part of the question:
I : Rank(A) = 2 is false. The given echelon system shows that there are two rows with leading entries, which means the rank of matrix A is 2.
II : The general solution has 2 free variables is true. The number of free variables in the general solution corresponds to the number of columns without a leading entry in the echelon system, which is 2 in this case.
III : dim(Column Space) = 2 is true. The number of leading entries in the echelon system represents the dimension of the column space of matrix A, which is 2 in this case.
Regarding the third part of the question:
The kernel (also known as the null space) of the linear transformation T is the set of all vectors that are mapped to the zero vector by T. In this case, T(x, y, z) = (0, 0, z). Therefore, the kernel of T is {(t, p, 0)} where t, p ∈ R.
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Free 100 points! Solve this equation
2x + x + 20 = 200
ANSWER is 60
2x + x = 3x
200-20=180
180 divided by 3x = 60
You may copy and paste the answer and explanation .
Have a nice day .
Answer:
60
Step-by-step explanation:
tysm! have a great day
thank you
have a good day...❤
Write the equation of this line in point-slope form using the point (1,-3) .
a. y + 1 = (-1/2)(x + 3)
b. y + 1 = (1/2)(x + 3)
c. y + 3 = (1/2)(x - 1)
d. y - 3 = (-1/2)(x - 1)
Answer:
c. y + 3 = (1/2)(x - 1)
Step-by-step explanation:
Answer:
A. \(y + 1 = (-\frac{1}{2})(x + 3)\)
Step-by-step explanation:
I used a graphing calculator. I prefer Desmos, but you can use whatever you like. I recommend Desmos or GeoGebra.
Please mark as Brainliest!!!How many cc are in 1 ounces?
Answer:
29.5735296 cc = 1 oz
121x\(121x^{2} -1\)
To multiply 121 and 121x²-1, we used the distributive property of multiplication and simplified the expression to get the final answer of 1331x² - 121.
To multiply 121 and 121x²-1, we need to use the distributive property of multiplication. We can break up 121 as 11 * 11 and write as
121 * (121x²-1) = (11 * 11) * (121x²-1)
Using the distributive property here, we can then write
= 11 * 11 * 121x² - 11 * 11 * 1
Simplifying the expression, we get
= 1331x² - 121
So the multiplication of 121 and 121x²-1 is 1331x² - 121.
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--The given question is incomplete, the complete question is given
" Multiply 121 * 121x²-1 "--
billy jogs 4/5 kilometers every minute how many kilometers
does he jog after 6 1/8 minutes
The number of kilometers that billy jogs in 6 1/8 minutes based on the given ratio will be 196/40.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
As per the given,
Billy jogs 4/5 km in one minute.
Let's say in 6 1/8 minutes Billy jogs x number of kilometers.
x/(6 + 1/8) = 4/5/1
x = (4/5)49/8
x = 196/40
Hence "The number of kilometers that billy jogs in 6 1/8 minutes based on the given ratio will be 196/40".
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Just answer with the value to put in the box thanks !
Answer:
x = 10.8
Step-by-step explanation:
9 ÷ x = x ÷ (9 + 4)
9 × (9 + 4) = x × x
9 × 13 = x²
117 = x²
x = 10.81665383
Luz tiene 240 globos blancos y 360 celestes y los usará para decorar un salón. Si los ubica en grupos de manera que cada uno tenga la misma cantidad de globos de cada color, a) ¿Cuántos grupos puede hacer como máximo? b) ¿Cuántos globos de cada color tendrá cada grupo?
Answer:
a) 120
b) 2 globos blancos por grupo
3 globos celestes por grupo
Step-by-step explanation:
Resolvemos usando el máximo factor común
a) ¿Cuántos grupos puede formar como máximo?
Los factores de 240 son: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Los factores de 360 son: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Entonces el máximo común denominador es 120.
b) ¿Cuántos globos de cada color tendrá cada grupo?
Para cada grupo,
Por los globos blancos
= 240/120 = 2 globos blancos por grupo
Por el celeste
= 360/120 = 3 globos celestes por grupo
What is the percent of change for the equation y = (0.85)^x?
Answer:
Convert the problem to an equation using the percentage formula: Y/X = P%
X is 60, Y is 12, so the equation is 12/60 = P%
Do the math: 12/60 = 0.20.
Important! ...
Converting 0.20 to a percent: 0.20 * 100 = 20%
So 20% of 60 is 12.
Step-by-step explanation:
Answer:
85%
Step-by-step explanation:
0.85 as a percentage is simply 85/100, or 85%.
-hope it helps
2. pvalue
3.critical value
4.test value
5.make a desision
Noise Levels in Hospitals In a hospital study, it was found that the standard deviation of the sound levels from 30 areas designated as "casualty doors" was 6.4 dBA and the standard deviation of 28 areas designated as operating theaters was 4.1 dBA. At a 0.10, can you substantiate the claim that there is a difference in the standard deviations? Use a, for the standard deviation of the sound levels from areas designated as "casualty doors." Part 1 of 5 (a) State the hypotheses and identify the claim. H_0: sigma_1^ = sigma_2^ _____
H_1: sigma_1^ ≠ sigma_2^ _____
This hypothesis test is a___test.
The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.
The hypotheses for the test are:
H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)
H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)
This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.
To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.
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what is the probability that the time until an accident occurs exceeds the mean time by more than 2 standard deviations?
The probability that the time until an accident occurs exceeds the mean time by more than 2 standard deviations is 0.0228 or 2.28%.
Using the standard normal distribution (Z) table.
Step 1: Convert the problem into a Z-score. In this case, the Z-score is 2 because we are looking for the probability of exceeding the mean by more than 2 standard deviations.
Step 2: Look up the Z-score of 2 in the standard normal distribution table. You will find a probability value of 0.9772. This value represents the probability that the time until an accident occurs is within 2 standard deviations from the mean.
Step 3: Since we are looking for the probability that the time exceeds the mean by more than 2 standard deviations, we need to find the probability of the complement. Subtract the probability found in Step 2 from 1.
1 - 0.9772 = 0.0228
So, the probability that the time until an accident occurs exceeds the mean time by more than 2 standard deviations is 0.0228 or 2.28%.
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Pls help me with math
By the concept of the proportional method we determine that the height of the tower would be 48 feet.
What are ratio and proportion?In its most basic form, a ratio is a comparison between two comparable quantities.
There are two types of proportions One is the direct proportion, whereby increasing one number by a constant k also increases the other quantity by the same constant k, and vice versa.
If one quantity is increased by a constant k, the other will decrease by the same constant k in the case of inverse proportion, and vice versa.
The model given can be interpreted by the concept of proportional method
a : b : : c : d.
Therefore,
5 : 6 : : 40 : x.
5/6 = 40/x.
5x = 240.
x = 240/5.
x = 48 feet.
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The cost of Kerri's meal was
$8.40. If she wants to leave a
15% tip, how much should she
leave?
Answer: she should leave a $1.26 tip
Step-by-step expression: .....
If you had 2 bag of chips and you ate one how much do you have
Answer: You'll have 1 bag of chips left.
Step-by-step explanation: 2 - 1 = 1.
What is the height of the trapezoid?
O 3 units
O 5 units
O 10 units
O 12 units
Answer:
5 units
Step-by-step explanation:
Height of a trapezoid= 2 × Area/(a+b)
=2 × 40/(6+10)
=2 × 40/16
=5 units
Hope it helps....
Mark me the brainliest....
5x+4=60 and 3x+6=45 how do you solve this ?
Answer:
x = 56/5, x = 13
Step-by-step explanation:
Solve each problem separately:
5x+4=60
5x=56
x = 56/5
3x+6=45
3x=39
x=13
According to a gallup poll, 75% of the countries who scored the highest on the positive experiences index were in south america. suppose you randomly select 8 countries off the highest scores on the positive experiences index. what is the probability that...
The probability that all 8 countries randomly selected off the highest scores on the positive experiences index are from South America is very low.
According to the given information, 75% of the countries with the highest scores on the positive experiences index are from South America. However, it is not specified how many countries are on the highest scores list. Therefore, we cannot calculate the exact probability of randomly selecting all 8 countries from South America.
Let's assume that there are 20 countries on the highest scores list. If 75% of them are from South America, that means there are 15 countries from South America and 5 countries from other regions.
To calculate the probability of randomly selecting 8 countries from the list and all of them being from South America, we can use the formula for probability of multiple events occurring together: P(A and B) = P(A) x P(B|A)
Let A be the event of the first country selected being from South America. The probability of this event is 15/20 or 0.75.
Let B be the event of the second country selected being from South America, given that the first country selected was from South America. The probability of this event is 14/19 because there are now 14 South American countries left out of 19 total countries.
Using the formula above, the probability of both A and B occurring together is P(A and B) = P(A) x P(B|A) = 0.75 x 14/19 = 0.553
We can continue this process for the remaining countries, but the probability of all 8 countries selected being from South America is very low because the probability of each subsequent event decreases as there are fewer South American countries left to choose from.
Therefore, the probability that all 8 countries randomly selected off the highest scores on the positive experiences index are from South America is very low.
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Pls help I need this pls
Answer:
Step-by-step explanation:
each page requires 2 Kb.
The USB drive will take 4 * 10^6 Kg
So 4 * 10^6 kb / 2 kb = 2 * 10^6 pages.
Amazing. I don't think this is an exaggeration. It looks just about the way things are.
Enola surveyed 300 of the students in her school about their favorite color. 78 students said their favorite color was purple. What percentage of the surveyed students said their favorite color was purple?
Answer:
26%
Step-by-step explanation:
I did some simple math here: a percentage represents a number over 100.
To find the percentage, I just divided 78 by 300 and got 0.26
I then multiplied by 100 to get 26%
Hope this helps! Have a great day!
In a circle PQ & RS are two chords bisecting each other,prove that the two parts of one chord are equal to the two parts of the other.
Answer:
see proof below
Step-by-step explanation:
Let
p1,p2 = half lengths of chord p
q1,q2 = half length of chord q
By the intersecting chord theorem,
p1*p2 = q1*q2, substituting p1=p2, q1=q2
p1^2 = q1*2
Take square-roots and reject negative roots
p1 = q1
therefore
p1=p2 = q1=q2, or
two parts of one chord are equal to the two parts of the other.
Please help‼️ domain and range‼️
The domain and the range of the function are (-∝, ∝) and (0, ∝), respectively
Calculating the domain and range of the graph?From the question, we have the following parameters that can be used in our computation:
The graph
The above graph is an exponential function
The rule of an function is that
The domain is the set of all real values
In this case, the domain is (-∝, ∝)
For the range, we have
Range = (0, ∝)
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The speeds of cars on the highway have a mean of 62 mph with a standard deviation of 5 mph. If a police car stopped cars that were going more than 75 mph, how many cars would they stop if there were 2000 cars on the highway?
The police can approximately stop 1990 cars if they targeted those going more than 75 mph.
To determine the number of cars that the police would stop if they were targeting those going more than 75 mph, we need to consider the normal distribution and the z-score.
Given that the mean speed is 62 mph and the standard deviation is 5 mph, we can calculate the z-score for a speed of 75 mph using the formula: z = (x - μ) / σ, where x is the given value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get: z = (75 - 62) / 5 = 2.6.
To find the proportion of cars going more than 75 mph, we can consult the z-table or use statistical software. Looking up the z-score of 2.6 in the table, we find that the proportion is approximately 0.995.
Since we know there are 2000 cars on the highway, we can multiply the proportion by the total number to estimate the number of cars that would be stopped: 0.995 * 2000 = 1990.
Therefore, the police would be expected to stop approximately 1990 cars if they targeted those going more than 75 mph.
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