Work Shown:
area of base = 18*17 = 306 square yards
V = volume of pyramid
V = (1/3)*(area of base)*(height)
V = (1/3)*(306)*(15)
V = 1530 cubic yards
Answer:1530
Step-by-step explanation: length*width*height* divided by 3
Which table represents a function?
Answer:
Table 4 represents a function.
Step-by-step explanation:
Functions require that each x-value has a unique y-value. In the other tables you see a value repeated in the x column, with a different value in the y column.
How many natural 4-digit numbers exist in which all of the digits are even?
Answer:
256
Step-by-step explanation:
the first digit cannot be 0, so there are only 4 even numbers
For the second, third, and fourth digits, there are 5 available numbers.
Thus, the number of 4-digit numbers containing only even digits is 4 x 5 x 5 x 5 = 500
2nd place ( hundred place) can also be filled up by 4 number : 2, 4, 6, 8 and same logic applies to 3rd ( 10th ) and 4th( unit) .
so number of ways is 4*4*4*4= 256 ways .
i need help please
Answer:
See below.
Step-by-step explanation:
In all triangles, the three interior angles will add up to 180°. Therefore:
[tex](9x+6)+(5x)+(90)=180[/tex]
Remember that the little square means a right angle.
Now, solve for x.
[tex]9x+6+5x+90=180\\14x+96=180\\14x=84\\x=6[/tex]
Now, plug x back into the equations to find each angle:
1)
[tex]\angle ABC = \angle B = 9(6)+6=60\textdegree[/tex]
2)
[tex]\angle BCA = \angle C = 90\textdegree[/tex]
3)
[tex]\angle CAB = \angle A=5(6)=30[/tex]
Answer:
1. angle ABC = 60
2. angle BCA = 90
3. angle CAB = 30
Step-by-step explanation:
Since we know the right angle =90 degrees, we just need to do simple algebra. (We also know the all three angles added together equals 180.)
5x+9x+6+90=180.
Now let's simplify. We can simplify by adding like terms:
14x+96=180
Now we just need to do simple algebra. First we'd subtract the 96 from both sides:
14x+96=180
-96 -96
14x = 84
Now we just need to divide 14 from both sides to separate the 14 from the x.
[tex]\frac{14x}{14}[/tex] = [tex]\frac{84}{14}[/tex]
x = 6
Now that we know what x equals, we just need to fill it into the equations which shouldn't be too hard. :)
Extra hint: to check your answer just add all three angles together and if you get 180 your answer is correct. :)
HOPE THIS HELPS!! <3 :D
PLEASE HELP!! A car manufacturer does performance tests on its cars. During one test, a car starts from rest, and accelerates at a constant rate for 20 seconds. another car starts from rest three seconds later, and accelerates at a faster constant rate. The equation that models the distance (d) in metres the first cars equation is d=1.16t^2, where t is time, in seconds, after the car starts. The equation for the second car is: d=1.74(t-3)^2. a) in context, what is a suitable domain for the graph of the system? b) at what time will both cars have driven the same distance? c) how far will they have driven at this time?
Answer:
0 ≤ t ≤ 2516.348 seconds310.0 metersStep-by-step explanation:
a) Since these are production vehicles, we don't expect their top speed to be more than about 70 m/s, so the distance functions probably lose their validity after t = 25. Of course, t < 0 has no meaning in this case, so the suitable domain is about ...
0 ≤ t ≤ 25
Note that the domain for the second car would be 3 ≤ t ≤ 25.
__
b) The graph of this system shows the cars will both have driven the same distance after 16.348 seconds.
__
c) At that time, the cars will have driven 310.0 meters.
_____
Non-graphical solution
If you like, you can solve the equation for t:
d1 = d2
1.16t^2 = 1.74(t -3)^2
0 = 0.58t^2 -10.44t +15.66
t = (10.44 +√(10.44^2 -4(0.58)(15.66)))/(2(0.58)) = (10.44+8.524)/1.16
t = 16.348 . . . . time in seconds the cars are at the same distance
That distance is found using either equation for distance:
1.16t^2 = 1.16(16.348^2) = 310.036 . . . meters
A village P is 10km from a lorry station,Q on a bearing 065°.another village R is 8km from Q on a bearing 155°.calculate; a.the distance of R from P to the nearest kilometer and b.the bearing of R from P to the nearest degree.
Answer:
RP = 12.8 km
38 degrees
Step-by-step explanation:
RP = [tex]\sqrt{8^{2} + 10\\^{2} } \\[/tex]
RP = 12.8 km
angle = Inv sin = 8/12.8
angle 38.7°
You are testing the claim that the mean GPA of night students is greater than the mean GPA of day students. You sample 30 night students, and the sample mean GPA is 2.36 with a standard deviation of 0.96 You sample 60 day students, and the sample mean GPA is 2.19 with a standard deviation of 0.66 Calculate the test statistic, rounded to 2 decimal places
Answer:
Z = 0.87
Explanation:
Given the following data;
Sample 1:
n1 = 30
Mean, X = 2.36
Standard deviation, Ox = 0.96
Sample 2:
n2 = 60
Mean, Y = 2.19
Standard deviation, Oy = 0.66
The formula for test statistics for two population is;
[tex]Z = \frac{X-Y}{\sqrt{(\frac{Ox^2} {n_1} } +\frac{Oy^2}{n_2} )}}[/tex]
Substituting the values, we have;
[tex]Z = \frac{2.36-2.19}{\sqrt{(\frac{0.96^2} {30} +\frac{0.66^2}{60} )}}[/tex]
[tex]Z = \frac{0.17}{\sqrt{(\frac{0.9216} {30} +\frac{0.4356}{60} )}}[/tex]
[tex]Z = \frac{0.17}{\sqrt{(0.03072 +0.00726)}}[/tex]
[tex]Z = \frac{0.17}{\sqrt{0.03798}}[/tex]
[tex]Z = \frac{0.17}{0.19488}[/tex]
Z = 0.8723
The test statistics to 2 d.p is 0.87
Therefore, Z = 0.87
Divide. 1 ÷ 0.0064. please my dear friend
Answer:
156.25
Step-by-step explanation:
[tex]\frac{1}{0.0064}\\\\\frac{10000}{64}\\ then divide \[/tex]
[tex]\frac{10000}{64} = \frac{2500}{16} =\frac{625}{4} = 156.25[/tex]
Rewrite the radical expression as an expression with a rational exponent. the seventh root of x to the third power
Answer:I think it’s 7x^3
Step-by-step explanation:
The value of the z-scores in a hypothesis test is influenced by a variety of factors. Assuming that all other variables are held constant, explain how the value of z is influenced by each of the following: (Hint: When coming up with your answer, consider how changing the corresponding value in the z formula would change things if its value was increased by 10, 100, 1000, etc. while all other values constant.)
Increasing the difference between the sample mean and the original population mean will result in a(n) (increase/decrease) ______ in the absolute value of z, and a(n) (increase/decrease) ______ in the probability of obtaining a sample with that mean.
Increasing the population standard deviation will result in a(n) (increase/decrease) _____in the absolute value of z, and a(n) (increase/decrease) ______in the probability of obtaining a sample with that mean.
Increasing the number of scores in the sample will result in a(n) (increase/decrease) _____ in the absolute value of z, and a(n) (increase/decrease)______in the probability of obtaining a sample with that mean.
Answer:
Explained below.
Step-by-step explanation:
The z-test statistic is given as follows:
[tex]Z=\frac{\bar X-\mu}{\sigma/\sqrt{n}}[/tex]
Here,
[tex]\bar X=\text{Sample Mean}\\\\\mu=\text{Population Mean}\\\\\sigma=\text{Population standard deviation}\\\\n=\text{Sample size}[/tex]
The p-value is well-defined as per the probability, [under the null-hypothesis (H₀)], of attaining a result equivalent to or greater than what was the truly observed value of the test statistic.
(i)
The difference between the sample mean and the original population mean are directly proportional to the z-test statistic.
So, increasing the difference between [tex]\bar X[/tex] and [tex]\mu[/tex] will lead to an increase in the z-score.
And as the Z-score increases the p-value of the test decreases.
Thus, the complete statement is:
"Increasing the difference between the sample mean and the original population mean will result in an increase in the absolute value of z, and a decrease in the probability of obtaining a sample with that mean."
(ii)
The population standard deviation is inversely proportional to the z-test statistic.
So, increasing the population standard deviation will lead to a decrease in the z-score.
And as the Z-score decreases the p-value of the test increases.
Thus, the complete statement is:
"Increasing the population standard deviation will result in a decrease in the absolute value of z, and an increase in the probability of obtaining a sample with that mean"
(iii)
The number of scores in the sample is directly proportional to the z-test statistic.
So, increasing the number of scores in the sample will lead to an increase in the z-score.
And as the Z-score increases the p-value of the test decreases.
Thus, the complete statement is:
"Increasing the number of scores in the sample will result in an increase in the absolute value of z, and an decrease in the probability of obtaining a sample with that mean."
It is never possible to solve an inequality that has a number on each side. True or False?
Answer:
true
Step-by-step explanation:
because a number is always greater than, equal to, or less than another number
Instructions: Find the missing side. Round your answer to the
nearest ten
Answer:
trig function is tangent
tan(63)=x/19
multiply each side by 19:
tan(63)19=x
x=37.3
Solve the equation. 2x + 4 = 3x – 2
Answer:
X=6
Step-by-step explanation:
2x+4=3x-2
-4 -4
2x=3x-6
-3x -3x
-1x=-6
--- ---
-1 -1
X=6
Answer:
6
Step-by-step explanation:
2x+4=3x-2
2x-3x=-2-4
-x=-6
(divide both sides by -1)
X=6
The sum of five consecutive numbers is 360. What is the smallest of these numbers? *
Answer:
70
Step-by-step explanation:
An easy way to do this is to simply take 360(the sum) and divide it by 5(the number of numbers) to get 72. Thus, 72 is the middle number and the numbers are:
72
72,72,73
70,71,72,73,74
The smallest of these numbers is 70
Hope it helps <3
Hello!
Answer:
70 is the smallest number.
Step-by-step explanation:
If the sum of 5 consecutive numbers is 360, we can solve for the smallest number algebraically:
Let 'x' represent the smallest number:
and (x + 1), (x + 2), (x + 3), and (x+4) represent the other consecutive numbers:
x + (x + 1) + (x + 2) + (x + 3) + (x+ 4) = 360
Combine like terms:
5x + 10 = 360
Subtract 10 from both sides:
5x = 350
Divide both sides by 5:
x = 70. This is the smallest of the consecutive numbers.
We can check our work:
70 + 71 + 72 + 73 + 74 = 360.
Hope this helped!
Solve for X and determine the measure of each angle.
X
(x - 35)
X
(2x - 75°)
it's a quadrilateral
interior angles add up to 360
x + 2x - 75 + x + x - 35 = 360
5x - 110 = 360
5x = 360 + 110
x = 470 ÷ 5
x = 95
and x - 35 = 60
2x - 75
= 190 -75
= 115
Answer:
see explanation
Step-by-step explanation:
The sum of the interior angles of a quadrilateral = 360°
Sum the given angles and equate to 360
x + x + x - 35 + 2x - 75 = 360, that is
5x - 110 = 360 ( add 110 to both sides )
5x = 470 ( divide both sides by 5 )
x = 94 , then
x - 35 = 94 - 35 = 59
2x - 75 = 2(94) - 75 = 188 - 75 = 113
Thus
The 4 angles are 59°, 94°, 94°, 113°
what is the inverse of the fuction f(x)=19/x
Answer:
[tex]f^-^{1} (x)=\frac{19}{x}[/tex]
Step-by-step explanation:
To find the inverse of this function, switch the variables like this:
[tex]\frac{19}{x}\\\\x=\frac{19}{y} \\[/tex]
Then, solve for y, like this:
[tex]y= \frac{19}{x} \\[/tex]
Replace y with [tex]f^-^{1} (x)[/tex].
[tex]f^-^{1} (x)=\frac{19}{x}\\[/tex]
Write the equation for a parabola with a focus at (-2,5) and a directrix at x=3 Answer has to be in Y=____ Format
Answer:
Step-by-step explanation:
The vertex of a parabola is directly in between the focus and the directrix. That means that the vertex of this parabola is at (1/2, 5). A parabola wraps itself around the focus and away from the directrix, so this parabola opens to the left. One other thing that we need to know is the distance between the vertex and the focus, the p value in the equation. So here's the equation we need (it's not a y= equation, though):
[tex]-(y-k)^2=4p(x-h)[/tex]
So here's what we know from the info above:
p = 5/2
h = 1/2
k = 5
and filling in:
[tex]-(y-5)^2=4(\frac{5}{2})(x-\frac{1}{2})[/tex] and simplifying:
[tex]-(y-5)^2=10(x-\frac{1}{2})[/tex] and then solving for x:
[tex]-\frac{1}{10}(y-5)^2+\frac{1}{2}=x[/tex]
Which is the graph of f(x) = -3√x?
pls answer quickly
Answer: the graph farthest to the right is almost correct. If you substitute values for x in the function f(x)= -3√x , the output does not match the curve on the graphs shown.
If you have a choice that includes only a curve to the right of the y- axis, that would be better.
Step-by-step explanation: Square roots of Negative x-values will result in imaginary numbers. Otherwise the graph with the curve passing through coordinates (1,-3) (4,-6) and (9,-9) is a good choice.
(And ask your teacher about the square root of negative numbers on this graph.)
Which could be used to solve this equation? 3 and one-fifth + n = 9 Subtract 3 and one-fifth from both sides of the equation. 3 and one-fifth minus 3 and one-fifth + n = 9 + 3 and one-fifth Add 3 and one-fifth to both sides of the equation. 9 + 3 and one-fifth = 12 and one-fifth
Answer:
Subtract [tex]3\frac{1}{5}[/tex] from both sides.
Step-by-step explanation:
We want to isolate the variable [tex]n[/tex]. To do this, we have to get rid of [tex]3\frac{1}{5}[/tex], which we can do by subtracting itself, since it equals 0.
[tex]3\frac{1}{5} + n =9[/tex]
[tex]n = 5\frac{4}{5}[/tex]
Answer:
ITS A
Step-by-step explanation:
John has 14 boxes of apples. Each box holds 12 apples. If 6 of the boxes are full, and 8 of the boxes are half full, how many apples does John have?
Answer:
120
Step-by-step explanation:
12 x 6 = 72
8x(12/2)=48
72+48 =120
A Line Segment has the points (1,-2), and (3,-2). What are the new points after its dilated by a scale factor of 3/2 or 1.5?
Answer: (1.5,-3) and (4.5, -3)
Step-by-step explanation:
The dilation rule to dilate a point (x,y) by a scaler factor of k is given by :0
[tex](x,y)\to (kx,ky)[/tex]
Given: A Line Segment has the points (1,-2), and (3,-2).
Scale factor = 1.5
Then, the new points after dilation will be :
[tex](1,-2)\to(1.5\times1,\ 1.5\times-2)=(1.5,\ -3)[/tex]
[tex](3,-2)\to (1.5\times3,1.5\times-2)=(4.5,\ -3)[/tex]
Hence, the new points after its dilated by a scale factor of = (1.5,-3) and (4.5, -3)
Suppose an apple picker in China earns an average wage of 45 cents per hour. An apple picker can harvest about 2.0 bushels of apples each hour. One gallon of apple juice requires 40 apples. Each bushel contains about 126 apples. What is the labor cost of one gallon of apple juice in dollars?
Answer:
0.0398 dollars
Step-by-step explanation:
We are told in the question that
An apple picker in China earns an average wage of 45 cents per hour.
Mathematically
1 hour= 45 cents............ Equation 1
An apple picker can harvest about 2.0 bushels of apples each hour.
Mathematically
2.0 bushels = 1 hour ..............Equation 2
We are told that each bushel contains about 126 apples
1 bushel = 126 apples
2 bushels =
126 × 2
= 252 apples
Combining Equation 1 and 2 together,
We can say
An apple picker in 1 hour harvests 2 bushels of apples which is 252 apples and is paid 45 cents
1 hour = 2 bushels of apples
1 hour = 252 apples
1 hour = 45 cents
Hence we can say fro harvesting 252 apples, an apples picker is paid 45 cents
Mathematically,
252 apples = 45 cents
One gallon of apple juice requires 40 apples
We are to calculate the labor cost of one gallon of apple juice in dollars
If : 252 apples = 45 cents
40 apples = X cents
Cross Multiply
40 × 25 = 252 × X
X = (40× 25) ÷ 252
X = 3.984063745 cents
Hence the labor cost of 40 apples = 3.984063745 cents
Approximately = 3.98 cents
Converting 3.98 cents to dollars
100 cents = 1 dollar
3.98 cents =
= 3.98/100
= 0.0398 dollars.
Therefore, the labor cost of one gallon of apple juice in dollars is 0.0398 dollars.
ASAP URGENT!! Will give BRAINLIEST!!! Using the sine rule work out angle x Look at attached image thx x
Answer: Sorry dont know
Step-by-step explanation:
The smaller the cookies the more I can fit in a container. Which graph models this situation?
A)А
B)B
C)C
D)D
Answer:
C: as the size increases the amount decreases. this means as the x-value increases, the y-value decreases, which is shown by graph C.
Answer:
your answer is c )c and where are you live
9/10 of the weight of a loaf of bread comes from the flour used in its baking. 2/9 of the weight is the protein what fraction of the weight is protein?
Answer:
1/5
Step-by-step explanation:
2/9 * 9/10 = 2/10 = 1/5
Answer choice
D) A worker with 15 years of service gets 5 weeks of vacation and each year.
Answer: it seems to be D, but the equation makes practically no sense!
The value of the factor changes for the different amounts of service years and vacation weeks.
Step-by-step explanation: The equation means that the employee is trying to figure out the value of the "v-factor" for how vacation time is earned.
If you substitute the number of service years into the left side of the "formula" and vacation weeks on the right side, then solve for "v", v(15)=5 you get v= 1/3 or 0.33
If you substitute other numbers, like v(2)=2, so v= 1 then v(30) = 8, v = 4/15 or 0.2667. You see the factor's value decreases. The company is much more generous to to employees with one or two years of service than with the older ones.
0.719 to the nearest hundredth
Answer:
.72
Step-by-step explanation:
9 rounds up because 1-4 stay the same and 5-9 round up
Answer: 0.719 to the nearest hundredth is 0.72
Which ordered pair is in the solution set of the system of linear inequalities?
y > Three-halvesx – 1
y < Three-halvesx – 1
On a coordinate plane, 2 dashed straight lines are shown. The first line has a positive slope and goes through (0, negative 1) and (2, 2). Everything to the right of the line is shaded. The second line has a positive slope and goes through (0, negative 1) and (2, 2). Everything to the left of the line is shaded.
(–5, 2)
(2, 2)
(5, 2)
no solution
Answer: No solution
Step-by-step explanation: If you are doing the Unit Test on edge2020 then D No solution is the answer.
Answer:
the answer is no "solution"
Unit Test on Edge 2023
ERROR ANALYSIS Describe and correct the error
in finding the value of c that makes the expression a
perfect square trinomial.
x² + 30x + c
Х
x2 + 30x +
30
2
x2 + 30x + 15
La picture of your work or type your work.
Step-by-step explanation:
Our polynomial is x²+30x +c with a missing value c
c should make this polynomial expression a perfect square
Write the expression with a decreasing order of degreesx²+ 30x+c
write the terms as factorsx² + 2*15*x +c
notice that the in the middle we have 2*15*x so our third term will be 15²x²+2*15*x+15² ⇒ c = 15²=225
arrange your perfect square(x+15)²
50 Pts!!! Answer ASAP.
Answer:
0.8
Step-by-step explanation:
because the template should be axr^n-1
where r is the common ratio
r=0.8
Answer:
0.8
Step-by-step explanation:
Can someone help me with this problem?
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▹ Answer
Slope = 1
▹ Step-by-Step Explanation
y = mx + b
'm' represents the slope. since there is no number before the x, the coefficient will always be 1. therefore, the slope is 1.
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
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