Laura is now trying to come up with a number where three less than 8 times the number is equal to half of 16 times the umber after it was increased by 1
The formula for the volume of a pyramid is V=13BhV=13Bh, where B is the area of the base and h is the height. Rearrange the formula to solve for the height (h).
h=B3Vh=B3V
h=V3Bh=V3B
h=3VBh=3VB
h=3BV
To solve for the height h in the volume formula V = 1/3Bh for a pyramid, the formula needs to be rearranged to h = 3V/B by first multiplying both sides by 3 and then dividing by B.
The formula for the volume of a pyramid is V = 1/3Bh, where B is the area of the base and h is the height. To solve for the height, h, we need to rearrange the formula.
Starting with V = 1/3Bh, we want to isolate h:
Multiply both sides of the equation by 3 to cancel out the fraction: 3V = Bh.
Next, divide both sides by B to solve for h: h = 3V/B.
The correct formula to solve for height is h = 3V/B.
A driver's education course compared 1,500 students who had not taken the course with 1,850 students who had. Of those students who did not take the driver's education course, 1,150 passed the written driver's exam the first time compared with 1,440 of the students who did take the course. A significance test was conducted to determine whether there is evidence that the students who took the driver's education course were more likely to pass the written driver's exam the first time. What is the p-value for an appropriate hypothesis test?
1
0.7895
0.4209
0.2105
0
(I chose .4209 after using a 2-PropZTest. I need some help checking. An explanation if I'm wrong would be great)
Answer:
0.2105
Step-by-step explanation:
Its correct
Factor 5k 2 - 35k 3.
A. 5k2(1 - 7k)
B. 5k3(1 - 7k)
C. 5k(1 - 7k2)
Answer:
The correct answer is A) 5k^2(1 - 7k)
Step-by-step explanation:
To factor, take out the greatest common multiple. Each term has a factor of 5 that can be taken out as a constant and k^2 as a variable. Take both of these out and divide each term by that expression.
5k^2(1 - 7k)
its A) 5k^2(1 - 7k) :)
Select the postulate or theorem that you can use to conclude that triangles are similar.
Answer:
AA similarity postulate.
Step-by-step explanation:
Two triangles which are of same shape are called similar triangles.
In the given triangles two angles are marked 90 degrees and another pair of angles are marked the same that is equal.
In the given figure:
m∠P==m∠L=90°
m∠J=m∠M.
Two angles are equal .
The AA similarity postulate states: if two pairs of corresponding angles are congruent, then the triangles are similar .
Answer :AA similarity postulate.
Answer:
AA
Step-by-step explanation:
Name all sets of numbers to which each real number belongs
The diagonals of a parallelogram are 12 meters and 20 meters and intersect at an angle of 60°. find the length of the longer side.
Final answer:
To find the length of the longer side of the parallelogram, you can use the law of cosines.
Explanation:
To find the length of the longer side of the parallelogram, we can use the law of cosines. The law of cosines states that in a triangle, the square of one side is equal to the sum of the squares of the other two sides minus twice the product of the lengths of those two sides and the cosine of the included angle.
In this case, one of the diagonals is 12 meters and the other is 20 meters. The included angle is 60°.
Letting 'a' be the length of the longer side, we can set up the equation:
a^2 = 12^2 + 20^2 - 2(12)(20)cos(60°)= 304
a=17.43
Abdul put gas in his car. He paid $18.32 for 8 gallons of gas. What is the unit price?
A certain forest covers an area of 3900 km2 . suppose that each year this area decreases by 8% . what will the area be after 10 years? use the calculator provided and round your answer to the nearest square kilometer.
A = P(1-r)^t
A = 3900(1-0.08)^10
A = 3900(0.92)^10
A = 3900(0.434388454)
A = 1694.11
1694 square km
Best explained and correct answer gets brainliest.
value = 45 x (1+0.015)^15
45 x 1.015^15=
45 * 1.25 = 56.26
answer is B $56.26
What is the value of y in the product of powers below?
when multiplying you add the powers
3 +-5 = -2 so the power for y = 0
A box with a volume of 40 cubic inches holds 10 balls. A box with a volume of 60 cubic inches holds 15 of the same kinds of balls. Assume the relationship is linear. Which equation models the relationship between the volume, x, and the number of balls y ?
A).y=0.25x+10
B).0.25x
C).y=4x
D).y=4x+60
Is the number of free dash throw attempts before the first shot is missed number of free-throw attempts before the first shot is missed a discrete random variable, continuous random variable, or not a random variable?
Answer:
:)
Step-by-step explanation:
The scores for today’s math quiz are 75, 95, 60, 75, 95, and 80. Explain the steps needed to create a histogram for the data
Answer: Determine what should go on each axis. Grades will go on the x-axis, and the number of students will be plotted on the y axis. Find the number of different scores and range. Choose an interval - say, 10 percent. Find the frequency within each interval. Choose a scale - say, - 0-3. Draw bars the height of the frequency for each interval.
The histogram is defined as the graphical representation of the data points in the given specified range.
The histogram is similar to a bar graph. In the histogram, the data is grouped in logical ranges.
The steps involved in the making of the histogram are:
The vertical axis represents the y-axis. On the y-axis, the score or marks of the quiz will be placed. The interval between the scores is 5. The x-axis is the horizontal axis, on which the relative grades will be put on. The interval, let be 10 percent for the grades. Now, draw the bars to a respective height of the frequency of marks on the y-axis.
Therefore, the histogram is similar to the bar graph, in which the quantitative analysis of the data is done.
To know more about the histogram, refer to the following link:
https://brainly.com/question/17145899
If AB is the midsegment, find the value of x. Show your work.
3x-1=34/2
=17
3x =18, x =6
Which of the following are binomials. (more than one answer)
A. x^11
B. 8x
C. x^2+3
D. x^4+x^2+1
E. 5/7y^3+5y^2+y
F. 6x^2+1/2y^2
its C) x^2+3 and F) 6x^2+1/2y^2 on apex
The volume of a fish tank is 20 cubic feet. If the density is 0.2 fish over feet cubed, how many fish are in the tank? (1 point)
Answer : The number of fish present in the tank are, 4 fish.
Step-by-step explanation :
As we are given that the volume of a fish tank is 20 cubic feet and density is 0.2 fish over feet cubed.
Now we have to determine the number of fish in the tank.
As, in 1 cubic feet tank the number of fish present in tank = 0.2 fish
So, in 20 cubic feet tank the number of fish present in tank = 20 × 0.2 fish
= 4 fish
Therefore, the number of fish present in the tank are, 4 fish.
The area of the trapezoid is 40 square units.
What is the height of the trapezoid? __ Units
we know that
The area of a trapezoid is equal to
[tex]A=\frac{1}{2}(b1+b2)h[/tex]
where
b1 and b2 are the parallel bases of the trapezoid
h is the height of the trapezoid
In this problem we have
[tex]b1=6\ units\\b2=10\ units\\A=40\ units^{2}[/tex]
substitute in the formula
[tex]40=\frac{1}{2}(6+10)h[/tex]
Solve for h
[tex]40*2=16h[/tex]
[tex]h=80/16=5\ units[/tex]
therefore
the answer is
The height of the trapezoid is [tex]5\ units[/tex]
The sum of a certain number and 3 times the number is 40. what is the number?
The value of x is 10 if the sum of a certain number and 3 times the number is 40 and the equation will be 3x + x = 40.
What is linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The sum of a certain number and 3 times the number is 40
Let the number is x
From the question, we can frame a linear equation in one variable
3x + x = 40
Adding like terms:
4x = 40
Divide by 4 into both sides
x = 40/4
x = 10
Thus, the value of x is 10 if the sum of a certain number and 3 times the number is 40 and the equation will be 3x + x = 40.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ6
Choose one of the factors of x3 + 343
Which equation represents the vertical asymptote of the graph?
In this question, with the help of the graph we have to find the vertical asymptote .
First let's check out what is vertical asymptote .
Vertical asymptotes are straight lines of the equation , toward which a function f(x) approaches infinitesimally closely, but never reaches the line.
And in the graph, the function approaches to 12 but never touches it .
So the vertical asymptote is x=12 .
The equation which represents the vertical asymptote of the graph given is; x =12.
The Vertical Asymptote of a graphThe vertical asymptote of a graph is simply a vertical line on the x-axis to which the graph of a function approaches but never touches.
By observation, the line x=12 separates the curves and both curves do not touch the line.
Ultimately, the line x=12 is the vertical asymptote of the given graph.Read more on vertical asymptote;
https://brainly.com/question/4723254
Another name for a dummy variable is a binary variable.a.Trueb.False
The measure of arc XYZ is 296 degrees. What is the measure of angle XZW, the tangent-chord angle?
A: 296
B:148
C:116
D:206
Which of the following steps could be used as a shortcut method to multiply 12 by 50
Consider the following function: f(x)= 25-x^2/x^2-4x-5 Which of the following are correct? Check all of the boxes that apply.
-m not equal to n
-m is equal to n
-There is only one vertical asymptote.
-y = –1 is the horizontal asymptote.
Answer: B, C, and D
Step-by-step explanation:
Just did it and got the answers wrong so these are the correct ones
Answer:
B, C, D
Step-by-step explanation:
-m is equal to n
-There is only one vertical asymptote.
-y = –1 is the horizontal asymptote.
Write the complex number in polar form. express the argument in degrees. 4i
a. 4(cos 0° + i sin 0°)
b. 4(cos 270° + i sin 270°)
c. 4(cos 90° + i sin 90°)
d. 4(cos 180° + i sin 180°)
Final answer:
The complex number 4i in polar form is 4(cos 90° + i sin 90°), which matches choice (c). The magnitude is 4, and the argument is 90° since 4i lies on the positive imaginary axis.
Explanation:
To convert the complex number 4i to polar form and express the argument in degrees, we should consider the general polar form of a complex number which is r(cos θ + i sin θ), where r is the magnitude (modulus) and θ is the argument of the complex number. The complex number 4i has a real part of 0 and an imaginary part of 4. Therefore, its magnitude is 4 and it lies on the positive imaginary axis. In the complex plane, this corresponds to an angle of 90° or 270° from the positive real axis. Since it is on the positive imaginary axis, the correct angle is 90°.
The correct polar form of the complex number 4i is 4(cos 90° + i sin 90°), which corresponds to choice (c).
if the measure of angle 1 is (3x-4)° and the meadure of angle 2 is (4x+10)° what is the measure of angle 2 in degrees?
Answer:
The measure of ∠ 2 in 58° .
Step-by-step explanation:
As given
if the measure of ∠ 1 is (3x-4)° and the measure of ∠ 2 is (4x+10)° .
As shown in the picture given in the question
90° + ∠1 + ∠2 = 180°
(By linear pair property)
Put the value of ∠1 and ∠2 in the above
90° + (3x -4)° + (4x+10)°= 180°
90 + 3x -4 + 4x + 10 = 180
7x + 6 = 180 - 90
7x + 6 = 90
7x = 90 -6
7x = 84
[tex]x = \frac{84}{7}[/tex]
x = 12
Put the value of x in the (4x+10)° .
∠2 = (4 × 12 + 10)°
∠2 = 58°
Therefore the measure of ∠ 2 in 58° .
Find the sum of the solutions of this equation 20x^2-39x-80=0
Which of the following could not be a value of n? side lengths of 9 and 13
a. 7
b.10
c. 13
d. 22
Write equations for the vertical and horizontal lines passing through the point (8, 7).