Answer:
36 times larger.
Step-by-step explanation:
V= [tex]\pi *r^{2}*\frac{h}{3}[/tex] is the original volume of a cone formula.
If the radius is multiplied by 6 the new formula is:
V= [tex]\pi *(6x)^{2} * \frac{4}{3}[/tex]
Which is simplified to:
V= [tex]\pi *36r^2*\frac{h}{3}[/tex]
The only difference between the simplified formula and the original is the *36 so the new volume is 36 times larger when the radius is multiplied by 6.
The scores for the Algebra 2 CFE are normally distributed with a mean score of 43 and
a standard deviation of 3.8. If you scored 47 on the test, what percentage of test takers
scored lower than you? Do not round your answer. [percent]
Answer:
85.375%
Step-by-step explanation:
We would be using the z-score formula which is
z = (x-μ)/σ, where
x is the raw score,
μ is the population mean, and
σ is the population standard deviation.
In the question, we are given:
x is the raw score = 47
μ is the population mean = Mean score = 43
σ is the population standard deviation = 3.8
z = (x-μ)/σ
z = (47- 43)/ 3.8
z = 4/3.8
z = 1.0526315789
The z score = 1.0526315789
Checking my z score on my normal distribution table,
The percentage of test takers that scored lower than you =
[1 - P(x>Z)] × 100
= ( 1 - 0.14625) × 100
= 0.85375 × 100
= 85.375%
Therefore, the percentage of test takers that scored lower than you is 85.375%
Find the midpoint of the segment with the following endpoints. (6,8) and (10,4)
Answer:
(8.6)
Step-by-step explanation:
To find the x coordinate of the midpoint, find the average of the x coordinates
(x1+x2)/2 = (6+10)/2 = 16/2 = 8
To find the y coordinate of the midpoint, find the average of the y coordinates
(y1+y2)/2 = (8+4)/2 = 12/2 = 6
Answer:
(8,6)
Well my explanation might be weird...so I won't explain it but I'm pretty sure I got the correct answer:>
Needs answered ASAP
What is the volume of the triangular prism below?
Answer:
172.5 inches cubed
Step-by-step explanation:
Consider the trinomial x2 - 9x + 18.
Which pair of numbers has a product of ac and a sum
of b?
Answer:
the answer is -6 and -3
Step-by-step explanation:
Answer:
-3 and -6.
Step-by-step explanation:
ac = 1 *18 = 18
b = -9
The 2 numbers required are -3 and -6.
Which of the following are whole numbers ?
Answer:
-1 and 3 should be right
Answer:
3
Step-by-step explanation:
Whole numbers are non-negative integers
A whole number can be 0 or positive with decimal/fraction part
Bob the Wizard makes magical brooms. He charges 125 gold pieces for each magical broom he makes for his customers. He also charges a one-time fee of 50 gold pieces for his initial consultation. The total number G of gold pieces Bob charges is a function of x, the number of magical brooms he makes. Write the function's formula.
Answer:
y= 125x + 5o
Step-by-step explanation:
Since the constant is 125 we add the x to show each broom he makes. The one time fee is not a constant so therefore it will only be added once.
Answer:
f(x)=125g+50
Step-by-step explanation:
He is charging $125 for each gold piece so you would multiply “g” and 125.
You would add 50 as a one time fee so you add 50.
Helpppppp meeeee pleaseeeeee!!!!
Answer: 15
Step-by-step explanation:
Just count the dots :)
Find the area of this circle. Use 3.14 for piπ.
Answer:
A =452.16 ft^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2 where r is the radius
A = 3.14 (12)^2
A =452.16 ft^2
Answer:
452.16ft^2
Step-by-step explanation:
So to answer this You need to use the formula A=πR^2
Step one is Figuring out what the equation is so A= (3.14)12^2Now what is 12 squared? The answer is 144ftStep three Multiply 144 by 3.14 since that is for PI to get 452.16ft^2A stunt man wants to drive a car off a ramp at an angle of 35∘ from the ground. He already has a ramp with an angle of 15∘. He plans to add a second ramp on top to increase the angle to 35∘. What angle measure does the second ramp need to have?
The second ramp needs to have an angle of 20° from the ground to achieve the overall angle of 35° for the car to drive off smoothly and reach the desired height.
Here,
To find the angle measure the second ramp needs to have, we can use the concept of angles of elevation and depression.
When the car drives off the first ramp, it will be going at an angle of 15° from the ground, and the angle of elevation from the ground to the car will also be 15°.
This is because the angle of elevation is the angle between the horizontal line and the line of sight from the ground to an object above the ground.
Now, when the car reaches the top of the first ramp, it will be at the same level as the second ramp.
At this point, the car needs to continue its ascent with an additional angle of 20° (35° - 15°) to reach the desired angle of 35° from the ground.
So, the second ramp needs to have an angle of 20° from the ground to achieve the overall angle of 35° for the car to drive off smoothly and reach the desired height.
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Find the volume of the prism.
36 m
3 m
5 m
Answer:=40m
Step-by-step explanation: 36m+3m+5m
Answer:
540m
Step-by-step explanation:
What are our “cheat words” for finding slope?
Answer: y-intercept
Step-by-step explanation:
The ratio of the leg opposite to an angle to the hypotenuse of a right triangle is
called the ____ of the angle.
A. sine
B. secant
C. cosine
D. cosecant
Answer:
cosine I think
Step-by-step explanation:
The ratio of the perpendicular and the hypotenuse is given by the sine of the angle. Then the correct option is A.
What is trigonometry?Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.
The ratio of the leg opposite to an angle to the hypotenuse of a right triangle is called the sine of the angle.
The sine is given as the side opposite to the angle is known as perpendicular.
The ratio of the perpendicular and the hypotenuse is given by the sine of the angle.
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The given equation has been solved in the table.
Answer:
D. the subtraction property of equality was not applied.
Step-by-step explanation:
Step 1: Listed the statement
Step 2: applied the addition property of equality
Step 3: Simplified
Step 4: Applied the multiplication property of equality
Step 5: Simplified
~
For his hiking club, Ricardo is making a container of trail mix with 3.5 kilograms of nuts. He has 1.78 kilograms of almonds. The rest of the nuts will be cashews. How many kilograms of cashews does he need? Use estimation to check your answer for reasonableness.
Answer: 1.72 kilograms
Step-by-step explanation:
From the question, Ricardo is making a container of trail mix with 3.5 kilograms of nuts and he has 1.78 kilograms of almonds while the remaining of the nuts will be cashews.
To get the kilograms of cashews nuts that are needed, we subtract the kilograms of almonds from the total container. This will be:
= 3.5 kg - 1.78 kg
= 1. 72 kg
A triangle has side lengths of 13, 9, and 5. Is this a right triangle?
Answer:
no
Step-by-step explanation:
a^2+b^2 = c^2
An economy package of cups has 750 green cups. If the green cups are 30% of the total package, how many cups are in the package?
Answer:
2500 cups
Step-by-step explanation:
Let c = total cups
c*30% = green cups
c*.30 = 750
Divide each side by .30
.30c/.30 = 750/.30
c =2500
A scale drawing is shown for clubhouse. The measurements are 4“ x 8“ what will the actual clubhouse measurements be if the scale factor is 1 inch equals 2 feet
Answer:
8ft. x 16ft.
Step-by-step explanation:
If each inch is scaled to 2 ft, then you simply multiply the values by two. The new scaled dimensions would be 8 x 16 ft. Hope this helps.
factor the binomials using gcf 16p + 4
solve |-4|/|-4| please help
Answer:
i think the answer is 1 dont take my word for it though
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
The absolute value of -4 is 4, therefore |-4|/|-4| = 4/4 = 1
One of the solutions of the system of equations shown in the graph has an x-value of -4. What is its corresponding integer y-value?
-1
-3
0
3
Answer:
The 1st intersection P(x, y) has x = -4 and y = -3 (as shown in graph).
Option B = -3 is correct.
Hope this helps!
:)
The y intercept value is option (B) -3
What is x intercept and y intercept?The x-intercept is where a line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis
Given
x intercept value = -4
From the graph we can say that y intercept value = -3
The y-intercept is the point where the line crosses the y-axis that is -3
Hence, the y intercept value is option (B) -3
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Jims fish bowl contains x tetras, 3 goldfish, and 5 platies. He removes one fish from the fish bowl at random. If the probability of removing a gold fish from the bowl is 1 out of 3 , how many tetras does jim have.
Answer: x = 1
Step-by-step explanation:
we have
x tetras
3 goldfish
5 platies.
the total number of fishh in the bowl is x + 3 + 5
The probability of removing a gold fish is equal to the number of gold fish divided by the total number of fish, this is:
p = 3/(x + 3 + 5) = 1/3
3 = (1/3)(x + 3 + 5) = x/3 + 1 + 5/3
9 = x + 3 + 5
x = 9 - 8 = 1
then wemust have that x = 1
because 1 + 3 + 5 = 9
and 3/9 = 1/3
Zero is___ a divisor always sometimes never
Answer:
sometimes
Step-by-step explanation:
You can never divide a non-zero number, such as 3 or 7, by zero. However, you can divide zero by zero, so the answer is sometimes.
Hope this helped! :)
Answer:
sometimes
Step-by-step explanation:
The formula to calculate the area of a circle from its circumference is:
A =c2/4π
Answer:
(if its a true or false question) True
Step-by-step explanation:
We know-
Area of a circle =
A=(π)r2
Circumference of a circle =
C=2(π)r
Where pi is a constant and r is the radius of the circle.
Using these two formulas we can express A in terms of C as follows:
c2=[2(π)r]2
⇒ c2=4[(π)2]r2 ⇒ c2=4(π)[(π)r2]
As (π)r2=A ⇒c2=4(π)A
Therefore:
A=c2/4(π)
Answer:
the answer is b
Step-by-step explanation:
....
-16 = 5 + 3x what is the constant and coefficient
Answer: help me with my questions
Step-by-step explanation:
Click on my profile answer my question and get branliest
Answer:
The constant is 5 and the coefficient is 3.
Step-by-step explanation:
The constant is something that does not change, which would be 5 because it stays 5 no matter what.
The coefficient is the number before the variable, which would be 3 because it changes depending on the x value.
I hope this helps! :)
A scientist created a scatterplot to display the height of a plant over a 12-day period. Plant Height A graph has days on the x-axis and height (inches) on the y-axis. A trend line goes through points (5, 3) and (12, 7). Which is the equation of the trend line that is shown? y = StartFraction 1 Over 7 EndFraction x + StartFraction 4 Over 7 EndFraction y = StartFraction 1 Over 7 EndFraction x + StartFraction 16 Over 7 EndFraction y = StartFraction 4 Over 7 EndFraction x minus StartFraction 1 Over 7 EndFraction y = StartFraction 4 Over 7 EndFraction x + StartFraction 1 Over 7 EndFraction
Answer:
The correct option is (D) [tex]y=\frac{4}{7}\ x+\frac{1}{7}[/tex].
Step-by-step explanation:
The two-point form for the equation of straight line is:
[tex](y-y_{1})=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\ (x-x_{1})[/tex]
The two points provided are:
A = (5, 3)
B = (12, 7)
Compute the equation of the trend line as follows:
[tex](y-y_{1})=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\ (x-x_{1})\\\\(y-3)=\frac{7-3}{12-5}\ (x-5)\\\\(y-3)=\frac{4}{7}\ (x-5)\\\\y-3=\frac{4}{7}\ x-\frac{20}{7} \\\\y=\frac{4}{7}\ x-\frac{20}{7}+3\\\\y=\frac{4}{7}\ x+\frac{-20+21}{7}\\\\y=\frac{4}{7}\ x+\frac{1}{7}[/tex]
Thus, the equation of the trend line is [tex]y=\frac{4}{7}\ x+\frac{1}{7}[/tex].
The correct option is (D).
Answer:
D
Step-by-step explanation:
Determine the vertex of the function f(x) = 3x2 – 6x + 13.
1. Identify the values of a and b.
a =
and b =
2. Find the x-coordinate of the vertex.
negative StartFraction b Over 2 a EndFraction =
3. Find the y-coordinate by evaluating the function at the x-value found in the previous step.
The vertex is
.
Answer:
1.)
A=3
B=-6
2.)
1
3.)
(1,10)
Answer:
1. Identify the values of a and b.
a =
✔ 3
and b =
✔ –6
2. Find the x-coordinate of the vertex.
negative StartFraction b Over 2 a EndFraction =
✔ 1
3. Find the y-coordinate by evaluating the function at the x-value found in the previous step.
The vertex is
✔ (1, 10)
plz help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Using laws of Sines. Find the measurement indicated. Round your answers to the nearest tenth.
Answer:
see below
Step-by-step explanation:
8.
We have to use the law of cosines to find AB
c^2 = a^2 + b^2 − 2ab cos(C)
AB^2 = 14^2 + 24^2 - 2 * 14 *24 cos(91)
AB^2 =196 +576 - 672 cos(91)
AB^2 =783.7280171
Taking the square root of each side
AB =27.99514
Rounding to the nearest tenth
AB = 28
(If the lengths are supposed to have the variable A)
AB = 28A
9.
Using the law of sines
sin 84 sin A
-------------- = -------------
22 9
Using cross products
9 sin 84 = 22 sin A
Divide each side by 22
9 sin 84 /22 = sin A
.406849866 = sin A
Taking the inverse sin of each side
24.00710132 = A
To the nearest tenth
A = 24
Answer:
AB = 28 ft; m<A = 24 deg
Step-by-step explanation:
8.
Since you are not given an angle and its opposite side, you cannot start with the law of sines. You must use the law of cosines.
[tex] c^2 = a^2 + b^2 - 2ab \cos C [/tex]
[tex] c^2 = (14~ft)^2 + (24~ft)^2 - 2(14~ft)(24~ft) \cos 91^\circ [/tex]
[tex] c^2 = 196~ft^2 + 576~ft^2 - 672~ft^2(-0.01745) [/tex]
[tex] c = \sqrt{783.73~ft^2} [/tex]
[tex] c = 27.995~ft [/tex]
AB = c = 28 ft
9.
[tex] \dfrac{\sin A}{a} = \dfrac{\sin B}{b} = \dfrac{\sin C}{c} [/tex]
[tex] \dfrac{\sin A}{a} = \dfrac{\sin B}{b} [/tex]
[tex] \dfrac{\sin A}{9~km} = \dfrac{\sin 84^\circ}{22~km} [/tex]
[tex] \sin A = \dfrac{9~km~\sin 84^\circ}{22~km} [/tex]
[tex] \sin A = 0.40685 [/tex]
[tex] A = \sin^{-1} 0.40685 [/tex]
[tex] A = 24^\circ [/tex]
Anne wants to create a data display to summarize prices of the 264 homes for sale in her
area. A sample of the data is shown below.
$72,000, $129,500, $132,000, $149,400, $152,000, $183,500, $225,000, $289,000, $348,000
She wants the display to show how many homes are available for homebuyers with various
budgets. Which data display is best for Anne's purpose?
a histogram, because the minimum and maximum values are clearly displayed
a box plot, because the median is clearly displayed
a box plot, because the data are divided into four ranges of values
a histogram, because the bars show the frequency of data points within different ranges
Answer:
The correct option is (D).
Step-by-step explanation:
The boxplot is a consistent way to exhibit the data-distribution based on, minimum, first quartile, median, third quartile and maximum.
Therefore we can say it provides information about the location of the center, dispersion and skewness (measure of asymmetry) of the data.
The methods commonly used for depicting a frequency distribution are:
Histogram/Column graph Bar graph Frequency Polygon Pie chartOut of these, one of the most general and extensively used devices of illustrating a frequency distribution is the histogram.
In this case it is provided that Anne wants the display of prizes to show how many homes are available for home buyers with various budgets.
So, Anne can set range of budget values and assign the number of buyers with various budgets.
From the provided data the range of budget values can be set as:
Less than $50,000
$50,000 - $100,000
$100,000 - $150,000
$150,000 - $200,000
$200,000 - $250,000
$250,000 - $300,000
$300,000 - $350,000
Thus, the histogram data display is best for Anne's purpose.
The correct option is (D).
This question is based on the concept of statistics. Therefore, the histogram data display is best for Anne's purpose. Hence, the correct option is D, histogram.
Given:
Anne wants to create a data display to summarize prices of the 264 homes for sale in her area. A sample of the data is shown below.
$72,000, $129,500, $132,000, $149,400, $152,000, $183,500, $225,000, $289,000, $348,000.
According to the question,
As we know that, the boxplot is consistent way to exhibit the data distribution based on the minimum, first quartile, median, third quartile and maximum.
Therefore, it provides information about the location of the center, dispersion and skewness (measure of asymmetry) of the data.
The following methods commonly used for depicting a frequency distribution are:
Histogram/Column graph Bar graph Frequency Polygon Pie chartOut of these, one of the most extensively used devices of illustrating a frequency distribution is the histogram.
In this question it is provided that, Anne wants the display of prizes to show how many homes are available for home buyers with various budgets.
Thus, Anne can set range of budget values and assign the number of buyers with various budgets.
From the given data the range of budget values can be written as:
Less than $50,000
$50,000 - $100,000
$100,000 - $150,000
$150,000 - $200,000
$200,000 - $250,000
$250,000 - $300,000
$300,000 - $350,000
Therefore, the data display is best for Anne's purpose. Hence the correct option is D, histogram.
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Quadrilateral CDEF is inscribed in circle A. Which statements complete the proof to show that ∠CFE and ∠CDE are supplementary?
Quadrilateral CDEF is inscribed in circle A.
Quadrilateral CDEF is inscribed in circle A, so m arc CDE+ m arc CFE= 360°. ∠CFE and ∠CDE are _________________, which means that their measures are one half the measure of their intercepted arcs. So, m arc CDE= 2 ⋅ m∠CFE and arc CFE= 2 ⋅ m∠CDE. Using the _________________, 2 ⋅ m∠CFE + 2 ⋅ m∠CDE = 360°. Using the division property of equality, divide both sides of the equation by 2, resulting in m∠CFE + m∠CDE = 180°. Therefore, ∠CFE and ∠CDE are supplementary.
inscribed angles; substitution property of equality
central angles; substitution property of equality
inscribed angles; addition property of equality
central angles; addition property of equality
Answer:
Inscribed angles, substitution property of equality
Step-by-step explanation:
We know it cant be Central angles because its a quadrilateral so that's 2 answers out. Then you have to substitute each value to end up with 2 ⋅ m∠CFE + 2 ⋅ m∠CDE = 360°, it doesnt make sense to add to both sides so the answer is Inscribed angles and substitution property of equality.
Plus i took the test and its right.
Angles to be proven as supplementary angles are known as inscribed
angles, and they are used as the substitute to known angles.
Response:
Inscribed angles; substitution property of equalityWhich method can be used to determine the correct option to complete the statement?The given information are;
Quadrilateral CDEF is inscribed in circle A
The completed statement is presented as follows;
Quadrilateral CDEF is inscribed in circle A, so [tex]m \widehat{CDE}[/tex] + [tex]m \widehat{CFE}[/tex] = 360°, ∠CFE and ∠CDE are inscribed angles, which means that their measures are [tex]\dfrac{1}{2}[/tex] the measures of the intercepted arcs. So [tex]m \widehat{CDE}[/tex] = 2·m∠CFE and [tex]m \widehat{CFE}[/tex] = 2·m∠CDE. Using the substitution property of equality, 2·m∠CFE + 2·m∠CDE = 360°. Using the division property of equality, divide both sides of the equation by 2, resulting in m∠CFE + m∠CDE = 180°. Therefore, ∠CFE and ∠CDE are supplementaryThe correct option is therefore;
inscribed angles; substitution property of equalityInscribed angles are angles formed by the intersection of two chords of
a circle.
The substitution property of equality states that variables that are
equal can be substituted by each other in any equation with both sides
of the the equation remaining equal.
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