Answer:
6
Step-by-step explanation:
Step 1: g(6) = 4 - 2 x 6
Step 2: g(6) = 4 - 12
Step 3: g(6) = -8
Step 4: g(9) = 4 - 2 x 9
Step 5: g(9) = 4 - 18
Step 6: g(9) = -14
(Final Step) Step 7: g(6) - g(9) = -8 - (-14) = 6
I need some help finding the volume of a sphere with a diameter of 18.6cm. Help would be greatly appreciated!
Answer:
\(V=3367.57\ cm^3\)
Step-by-step explanation:
The diameter of a sphere, d = 18.6 cm
Radius, r = 9.3 cm
We need to find the volume of the sphere. The formula for the volume of a sphere is given by :
\(V=\dfrac{4}{3}\pi r^3\\\\=\dfrac{4}{3}\times 3.14\times (9.3)^3\\\\=3367.57\ cm^3\)
So, the volume of the sphere is equal to \(3367.57\ cm^3\).
A test of H0: =55 versus H1= 55 is performed using a significance level of . The P-value is 0.048. If the true value of μ is 59, does the conclusion result in a Type I error, a Type II error, or a correct decision?
The conclusion results in a correct decision when test of H0: =55 versus H1= 55 is performed using a significance level of the P-value is 0.048
The given null hypothesis is H0: μ = 55 and the alternative hypothesis is H1: μ ≠ 55.
The significance level is not given in the question.
Given P-value is 0.048.
If the true value of μ is 59, and the P-value is 0.048, then we would reject the null hypothesis at a significance level of α = 0.05.
Since the true value
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Find the value of x in the triangle shown below 3.5 4 3.5 x• 55•
Answer:
Step-by-step explanation:
Since this is not a right triangle, we will use the Law of Sines. For us that looks like this:
\(\frac{sin55}{3.5} =\frac{sinx}{4}\) and cross multiply to get
4sin55 = 3.5sinx and solve for sinx:
\(sinx=\frac{4sin55}{3.5}\) so
sinx = .9361737 Use the 2nd button on your calculator and the sin button to find that the angle
x = 69.4°. Not sure how you need it rounded. It's actually 69.4186°
Answer:
It is 70
Step-by-step explanation:
Khan Academy
16/(8×2)=
16/8×2=
16-8/2=
Answer:
16/(8×2)=
16/8×2=
16-8/2=
8/2=
4
Step-by-step explanation:
first we subtract 8 from 16 and divide the result by 2.
for the equation 2n - 3 = 7, what is the coefficient of the variable
Answer:z
Then variable is n
Variable is an alphabet that depend on number. Then the variable there is n
And the coefficient of the variable is 2
The coefficient is the number behind a variable
And the value of the variable is
2n-3=7
Add 3 to both sides
2n-3+3=7+3
2n=10
Divide both side by 2
2n/2=10/2
n=5
Answer:
n=2
Step-by-step explanation:
John has 4 milligrams of copper and 0.76 milligram of lead.
How much more copper does he have than lead?
A
3.24 milligrams
B 32.4 milligrams
C 4.76 milligrams
Answer:
A 3.24 milligrams
Step-by-step explanation:
4 milligrams of copper - 0.76 milligrams of lead = 3.24 milligrams.
brainliest please. . . .
Write the equation of the circle graphed
below.
Answer:
(x-1)^2+(y-2)^2=6.25
Step-by-step explanation:
Origin: (1, 2)
Radius: 2 1/2
(x-1)^2+(y-2)^2=2.5^2
(x-1)^2+(y-2)^2=6.25
Answer: ( x - 1 )^2 + ( y - 2 )^2 = 6.25
Step-by-step explanation:
Omar studies the effects of a drought on the depth of water in a pond. He takes a reading of the water depth at the same location in the pond every day for the duration of the drought. Which method of displaying data would he most likely use to show changes in water depth?.
Omar would most likely use a line graph to show changes in water depth. A line graph would allow him to plot the water depth readings against a timeline and visualize how the depth changes over the duration of the drought.
A line graph is the most appropriate method of displaying data to show changes in water depth over the duration of the drought. A line graph is a type of chart that plots data points on a two-dimensional coordinate system. It is used to show how one set of data changes over a period of time. Omar would plot the water depth readings along the vertical y-axis and the days of the drought along the horizontal x-axis. A line would then be drawn to connect the data points, depicting the changes in water depth over the period of the drought. Additionally, the data points can also be labeled to provide more detailed information about the water depth readings at each point. This would allow Omar to compare the readings over time and monitor the effects of the drought on the water depth.
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unit 7 polygons and quadrilaterals homework 3 rectangles
If you are trying to find the missing measures of a rectangle, you should know that all rectangles have four sides, and each side has a length.
In other words, if you have a rectangle, two of the angles must be 90 degrees, and the other two angles must also be 90 degrees. To find the missing measures of a rectangle, you need to use the properties of rectangles.
First, find the length of each side. The length of all sides of a rectangle should be the same. Then, calculate the area of the rectangle. You can do this by multiplying the length of one side with the length of the other side.
Finally, you can use the Pythagorean Theorem to find the missing measures.
The Pythagorean Theorem states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
Using this theorem, you can find the length of the hypotenuse of the rectangle.
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Complete Question:
if each quadrilateral is given, then define the steps to find the missing measures a rectangle.
I need help with my math homework
2/3x+17≥29
Answer:
x ≥ 18
Step-by-step explanation:
Given the inequality statement, 2/3x + 17 ≥ 29,
Subtract both sides by 17:
2/3x + 17 - 17 ≥ 29 - 17
2/3x ≥ 12
Multiply both sides by 3/2 to isolate x:
\((\frac{3}{2}) \frac{2}{3}x \geq 12 (\frac{3}{2})\)
x ≥ 18
A gallon of gasoline costs $2.96. Your car has a 25-gallon gas tank and can travel 28.8 miles on each gallon of gasoline.
a. Find the cost of filling your gas tank if it is already 38 38 full.
b. You take a trip of length 705 miles. How much money do you spend on gasoline?
The cost of filling your gas tank if it is already 38 38 full. $48.88 required to fill the gas tank if it is already 38% full.
Money do you spend on gasoline is $72.46 is spends on that trip.
Given that
A gallon of gasoline costs $2.96.Gas tank capacity of the given car = 25 gallonThat car can travelled 28.8 miles on each gallon of gasoline.To find
The cost of filling your gas tank if it is already 38 % full.How much money spend on gasoline on the trip of 705 miles.So according the question
We have
1 gallon of gasoline = $2.96.Gas tank capacity = 25 gallon.28.8 miles travelled on each gallon of gasoline.Now, for finding
a.) The cost of filling your gas tank if it is already 38 % full.
38 % of 25 gallon = 9.5 gallon
the unfilled part of the tank = 25-9.5 = 15.5 gallon
So the tank can filled 15.5 gallon of gasoline more now.
The cost of 15.5 gallon of gasoline
= 15.5 × cost of 1 gallon of gasoline
= 15.5 × 2.96
= $45.88
$48.88 required to fill the gas tank if it is already 38% full.b.) How much money spend on gasoline on the trip of 705 miles.
∵ Car can travelled in 1 gallon of gasoline = 28.8 miles.
∴ Gasoline required to travel 705 miles = \(\frac{705}{28.8}\)
= 24.48 gallon.
The cost of 24.48 gallon of gasoline
= 24.48 × cost of 1 gallon of gasoline
= 24.48 × 2.96
= $72.46
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in the picture above, ec = 10cm, ae = 4cm, and m∠eab = 45°. find the area of the kite.
If ec = 10cm, ae = 4cm, and m∠eab = 45°, then the area of the kite is 250/49 square cm. Therefore, the correct option is (b) 250/49.
In the picture above, ec = 10 cm, ae = 4 cm, and m∠eab = 45°. Formula to find the area of a kite is: A = (d1d2)/2
Where,d1 and d2 are the diagonals of the kite. In the given diagram, a kite ABCE is shown. So, we need to find the diagonals of the kite. So, we have to find the length of diagonal AB. Diagonal AB divides the given kite into two triangles ABE and ACE. In triangle ABE,∠BAE = 90°and ∠EAB = 45°
Therefore, ∠ABE = ∠BAE - ∠EAB∠ABE = 90° - 45°∠ABE = 45°
Now, tan ∠ABE = EA/BE4/BE = tan 45°BE = 4 cm As diagonals of kite AC and BD are perpendicular to each other and their lengths are in ratio of 5:2
Diagonal AC = 5x, Diagonal BD = 2x.
Diagonal AC + Diagonal BD = 10 cm (Given ec = 10 cm)5x + 2x = 10 cm7x = 10 cmx = 10/7 cm
Therefore, Diagonal AC = 5x = 5(10/7) = 50/7 cm And, Diagonal BD = 2x = 2(10/7) = 20/7 cm
Now, we have found both the diagonals. So, let's apply the formula of the area of a kite. A = (d1d2)/2A = [(50/7)(20/7)]/2A = 500/98A = 250/49 sq cm.
Area of the kite is 250/49 square cm. Therefore, the correct option is (b) 250/49.
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Aaron has tried to construct the perpendicular bisector for line AB.
a) Write a sentence to explain how you know this is not a perpendicular bisector.
b) Which of the possible mistakes below has Aaron made in his construction?
A-
-B
Possible mistakes
He did not use a ruler to draw his line
The width of his pair of compasses
changed between drawing his arcs
He did not use a pair of compasses to
draw his arcs
A sentence to explain how I know this is not a perpendicular bisector is that line AB was not divided into two equal halves.
A possible mistake which Aaron made in his construction is: C. he did not use a pair of compasses to draw his arcs.
What is a perpendicular bisector?In Mathematics and Geometry, a perpendicular bisector can be defined as a type of line that bisects or divides a line segment exactly into two (2) equal halves and forms an angle that has a magnitude of 90 degrees at the point of intersection.
This ultimately implies that, the steps taken by Aaron for the construction of the perpendicular bisector for line AB is incorrect because it was not divided into two equal halves, even though it formed an angle that has a magnitude of 90 degrees at the point of intersection.
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What is the slope that passes through 1,7 and 9,5
Answer:
-1/4 is the slope.
Step-by-step explanation:
To find the slope of the given points, we can use the formula:
y2-y1/x2-x1
So, in this case, subtract 5 and 7, and subtract 9 and 1.
5-7=-2
9-1=8
-2/8
Now, simplify.
-1/4 is the slope.
What is the common ratio between successive terms in the sequence?
1.5, 1.2, 0.96, 0.768,
The common ratio between successive terms in the sequence is 1. 25
What is common ratio?
Common ratio is defined as the ratio of each term of a geometric sequence to the term before it.
It is also known as the constant factor between consecutive terms of a geometric sequence.
It is the number multiplied or divided by at each interval.
Given the sequence;
1.5, 1.2, 0.96, 0.768,
The common ration is;
= 1. 5/ 1. 2
= 1. 25
Thus, the common ratio between successive terms in the sequence is 1. 25
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PLSSSS HELP MEEE!!!!!! WIL MARK BRAINLIEST
Consider the line-2x+7y=4.
Find the equation of the line that is parallel to this line and passes through the point (4, 6).
Find the equation of the line that is perpendicular to this line and passes through the point (4, 6).
Note that the ALEKS graphing calculator may be helpful in checking your answer.
The equations of the lines are y = -7/2x + 20 and y = (2/7)(x - 4) + 6
The equation of the perpendicular lineThe equation is given as
-2x+7y=4.
So, we have
y = 2/7x + 4/7
The given line has a slope of 2/7
Perpendicular lines have slopes that are negative reciprocals of each other.
The negative reciprocal of 2/7 is -7/2
So, we have
y - y1 = m(x - x1)
where (x1, y1) is the given point and m is the slope.
Substituting the values, we get:
y - 6 = (-7/2)(x - 4)
Simplifying this equation, we get:
y = -7/2x + 20
The equation of the parallel lineParallel lines have the same slope.
So, the slope is 2/7
Using the point-slope form of the equation of a line again, we get:
y - 6 = (2/7)(x - 4)
Simplifying this equation, we get:
y = (2/7)(x - 4) + 6
Therefore, the equation of the line that is parallel is y = (2/7)(x - 4) + 6
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The result of a game is Win, Lose or Draw.
After 120 games
relative frequency of the result Win is 0.2
relative frequency of the result Lose is 0.35
How many of the games had the result Draw?
Answer: 54 games
Step-by-step explanation:
Draw games = Total games - (Win games + loss games)
Win games = 0.2 * 120
= 24 games
Loss games = 0.35 * 120
= 42 games
Draw games = 120 - (24 + 42)
= 120 - 66
= 54 games
Si: a + b + c = 18
hallar: abc + bca + cab
Answer:
abc + bca + cab
abc(1+1+1)
3×18
54
Answer:
54
Step-by-step explanation:
a + b + c = 18
abc + bca + cab = ???
18 / 3 = 6
a = ? = 6
b = ? = 6
c = ? = 6
(6 + 6 + 6) + (6 + 6 + 6) + (6 + 6 + 6)
(18) + (18) + (18)
abc + bca + cab = 54
What is the range of the function g(x) = [X – 12 – 2? o tyy-2) OVY 2-2) Oviy> 12) O y 2 12)
The range of the function is: \(\{y | y \ge -2 \}\)
What is the range of a function?The range of a function is the set of output values the function can take
The function is given as:
\(g(x) = |x - 12| -2\)
The above function is an absolute value function;
And it is represented as:
\(g(x) = a|x - h| + b\)
When a is positive, then the range of the function is:
\(y \ge b\)
By comparison, we have:
\(a =1\)
\(b = -2\)
Hence, the range of the function is: \(\{y | y \ge -2 \}\)
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find the diameter of a circle with the circumference of 10cm
Find the highest common factor of 16,24 and 46
Answer:
The HCF would be 8 (1,2,4,8).
i need help with this
Answer:
(x - 3) (x + 12)
Step-by-step explanation:
2x² + 18x - 72
divide the equation by 2
x² + 9x - 36 -36
(x - 3) (x + 12) 12 -3 = 9
ill mark brainliswt plss help
Answer:
z = 24
Step-by-step explanation:
35/30 = 7/6
28/7 = 4
6 x 4 = 24
28/24 = 7/6
Answer:
x = 24
Step-by-step explanation:
All you have to do is cross multiply like this..
30 x 28 = 35 x X
=
x = 30 x 28/35
30 x 28 = 840 / 35 =
24
So x is equal to 24
Hope this helps :)
A man who can row in still water at 5 miles per hour heads directly across a river flowing at 6 miles per hour. At what angle to the line on which he is heading does he drift downstream? 60° 30° 40° 50°
The angle at which the man drifts downstream is approximately 39.17°. In this case, none of the given answer choices (60°, 30°, 40°, and 50°) are correct.
The man's drift downstream can be determined by considering the relative motion between his rowing speed and the river's flow. To find the angle, we can use trigonometry.
Let's assume that the man is rowing directly across the river, perpendicular to the direction of the river flow. The resultant velocity of the man's motion is the vector sum of his rowing speed and the river's flow. The magnitude of the resultant velocity can be found using the Pythagorean theorem.
The rowing speed of the man is 5 miles per hour, and the river's flow is 6 miles per hour. Using the Pythagorean theorem, we can calculate the magnitude of the resultant velocity:
resultant velocity = \(sqrt((rowing speed)^2 + (river flow)^2)\)
=\(sqrt((5^2) + (6^2))\)
= \(sqrt(25 + 36)\)
= \(sqrt(61)\)
≈ 7.81 miles per hour
Now, to find the angle at which the man drifts downstream, we can use trigonometry. The tangent of the angle can be determined by dividing the magnitude of the river's flow by the magnitude of the resultant velocity:
\(tan(angle) = (river flow) / (resultant velocity)\)
= 6 / 7.81
≈ 0.768
To find the angle, we take the arctan of 0.768:
angle ≈ arctan(0.768)
≈ 39.17°
Therefore, the angle at which the man drifts downstream is approximately 39.17°. In this case, none of the given answer choices (60°, 30°, 40°, and 50°) are correct.
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A wallet contains 2 quarters and 3 dimes. Clara selects one coin from the wallet, replaces it, and then selects a second coin. Let A = {the first coin selected is a quarter}, and let B = {the second coin selected is a dime}. Which of the following statements is true?
a. A and B are dependent events, as P(B|A) = P(B).
b. A and B are dependent events, as P(B|A) ≠ P(B).
c. A and B are independent events, as P(B|A) = P(B).
d. A and B are independent events, as P(B|A) ≠ P(B).
Therefore, the correct statement is d. A and B are independent events, as P(B|A) ≠ P(B).
To determine whether events A (the first coin selected is a quarter) and B (the second coin selected is a dime) are dependent or independent, we need to compare the conditional probability P(B|A) with the probability P(B).
Let's calculate these probabilities:
P(B|A) is the probability of selecting a dime given that the first coin selected is a quarter. Since Clara replaces the first coin back into the wallet before selecting the second coin, the probability of selecting a dime is still 3 out of the total 5 coins in the wallet:
P(B|A) = 3/5
P(B) is the probability of selecting a dime on the second draw without any information about the first coin selected. Again, since the wallet still contains 3 dimes out of 5 coins:
P(B) = 3/5
Comparing P(B|A) and P(B), we see that they are equal:
P(B|A) = P(B) = 3/5
According to the options given:
a. A and B are dependent events, as P(B|A) = P(B). - This is incorrect as P(B|A) = P(B) does not necessarily imply independence.
b. A and B are dependent events, as P(B|A) ≠ P(B). - This is also incorrect because P(B|A) = P(B) in this case.
c. A and B are independent events, as P(B|A) = P(B). - This is incorrect because P(B|A) = P(B) does not imply independence.
d. A and B are independent events, as P(B|A) ≠ P(B). - This is the correct statement because P(B|A) ≠ P(B).
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which is a better estimate for length of diving board 3 centimeters or 3 meters
Answer: 3 meters
Step-by-step explanation:
Answer: 3 meters
Step-by-step explanation: A diving board being 3 cm would be too small so 3 meters is a better choice!
assume that event a occurs with probability 0.6 and event b does not occur with probability 0.6. assume that a and b are disjoint events. the probability that either event occurs (a or b) is question 3 options: a) 0.7
Probabilities cannot exceed 1, so the correct answer is a) 0.7.
The probability that either event A or event B occurs can be found by adding their individual probabilities.
Since event A occurs with a probability of 0.6 and event B does not occur with a probability of 0.6, we can add these probabilities together.
Therefore, the probability that either event A or event B occurs is 0.6 + 0.6 = 1.2.
However, probabilities cannot exceed 1, so the correct answer is a) 0.7. This means that there is a 70% chance that either event A or event B will occur.
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The area of a square plot is 100 sq m. The cost of fencing around the plot at rupees.15 per meter pls pls pls pls pls answer it step by step it would be a great pleasure!!
Answer: cost of fencing = 15 x 40 = 600 rupees
Step-by-step explanation:
To find the cost of fencing around the plot, we have to calculate the PERIMETER (p).
Area = 100 sq. m.
Side = √100 = 10 m
Perimeter = 4s = 4 x 10 = 40 m
What are the x- and y-intercepts and the vertex of yx² + 2x -80? Sketch the graph and write the equation in graphing form.
x intercepts are 8 and -10 whereas the y intercept is -80 for equation y=x² + 2x -80
What is slope intercept form of line?The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The given equation is
y=x² + 2x -80
y equal to x square plus two times of x minus eighty.
x² + 2x -80=0
It is in the form of quadratic equation
Let us factorize the above equation
x² + 10x -8x-80=0
x(x+10)-8(x+10)
(x-8)(x+10)=0
x=8 and x=-10
The x intercepts are 8 and -10 whereas the y intercept is -80.
Hence x intercepts are 8 and -10 whereas the y intercept is -80 for equation y=x² + 2x -80
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