Answer:
C
Step-by-step explanation:
Its the only answer where the y intercept is 16.
We know its 16 because the line crosses the y axis at 16
In a function, y varies inversely with x. The consistent of variation is 4. Which table could represent the function?
Answer:
none of the tables shown
Step-by-step explanation:
Inverse variation is
xy = k where k is the constant
xy = 4
in the top table
-2*2 = -4 so it cannot be the first table
In the middle table
-2 * -8 = 16 so it is not the middle table
In the bottom table
-2 *4 = -8 so it is not the bottom table
There must be a table not shown
Find the volume of a pyramid with a square base, where the area of the base is 12.5 ft ^2 12.5 ft
2
and the height of the pyramid is 16 ft. Round your answer to the nearest tenth of a cubic foot.
Answer:
833.3 ft^3
Step-by-step explanation:
The formula for the volume of a pyramid is:
V = (lwh)/3
V = volume
l = length of base
w = width of base
h = height of pyramid
Now we just correspond the values with the variables:
l = 12.5
w = 12.5
h = 16
And plug these values into the formula:
((12.5)(12.5)(16))/3
((156.25)(16))/3
2500/3
833.3 ft^3
Hope this helps (●'◡'●)
The solution is : the volume of a pyramid with a square base is 833.3 ft^3.
What is volume?In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.
here, we have,
we know that,
The formula for the volume of a pyramid is:
V = (lwh)/3
V = volume
l = length of base
w = width of base
h = height of pyramid
Now we just correspond the values with the variables:
l = 12.5
w = 12.5
h = 16
And plug these values into the formula:
=((12.5)(12.5)(16))/3
=((156.25)(16))/3
=2500/3
=833.3 ft^3
Hence, The solution is : the volume of a pyramid with a square base is 833.3 ft^3.
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in how many years will the interest of a sum of rs 3600 at the rate of 5.5% per year be rs 594?
Answer:
In 3 years, the interest of a sum of rs 3600 at the rate of 5.5% per year be Rs 594.
Step-by-step explanation:
T = ?
R = 5.5%
P = Rs 3600
I = Rs 594
so
T = (I×100)/(P×R)
or, T = (594×100)/(3600×5.5)
or, T = 59400/19800
so, T = 3 yrs
HALP ASAP, also im in or going into 7th grade it only goes from 10th to 100??
which makes know sence
what is the difference
Answer:
what is question of this you asked
Help urgent In a class of 35 students 15 of them have cats 16 have dogs 3 hangs none how many probability does have both
Answer:
9/25
Step-by-step explanation:
Number of student who has cat , dog = 25 - 3 = 22
Number of students who has cat and dogs = (15 + 16) - 22
= 31 - 22 = 9
Number of students who has only cats = 15 - 9 = 6
Number of students who has only dogs = 16 - 9 = 7
P(Cat & dog) = 9/25
Expand and Simplify
10a-(3a+7)
Help quick! I'll mark your answer as the brainliest if your answer is correct!
Jin is asked to graph this system of equations:
3x + 4y = 3
4y + 3x = 4
How many times will the lines intersect?
A. The lines will not intersect, because this system has no solutions.
B. The lines will intersect infinitely many times, because they are identical.
C. There is no way to tell without graphing the lines first
D. The lines will intersect once, because this system has one solution.
Answer:
They would never intersect because they are parallel lines. You can tell they are parallel lines because they have the same slope and they have a different y-intercept. However, this doesn't mean that there was no solutions, there were, thats how i was able to tell what their slopes and y-intercepts were. So if there is an answer that you can choose from that explains that they won't intersect because they are parallel then that is the correct answer. It may be C, but I would see if there is another option.
PLEASE HELP!!
Compare the following data sets that can be modeled linearly.
Data Set A: (1,12), (2,74), (3,193), (4,89), (5,210), (6,143)
Data Set B: (1,203), (2,109), (3,76), (4,42), (5,59), (6,33)
Which data set has a better linear model? Why?
Select the option that correctly answers both questions.
A.) Data Set A, because its correlation coefficient is lower.
B.) Data Set A, because its correlation coefficient is closer to 1.
C.) Data Set B, because its correlation coefficient is higher.
D.) Data Set B, because its correlation coefficient is farther from 0.
Answer:Data Set B, because its correlation coefficient is farther from 0.
Step-by-step explanation:
I got it right soo <3
what is the answer to this?
Answer:
x= -1, y = -1
Step-by-step explanation:
-16x +24y = -8
16x -8y = -8
16y = -16
y=-1
16x = -16
x = -1
Answer:
x = - 0.25 = - 1 / 4
y = 0.5 = 1 / 2
Step-by-step explanation:
4x + 6y = 2
Divide 2 on both sides,
2x + 3y = 1 ----> eq. 1
16x - 8y = - 8
Divide - 8 on both sides,
- 2x + y = 1 ----> eq. 2
Add eq. 1 and 2,
2x + 3y = 1
- 2x + y = 1
_________
0 + 4y = 2
4y = 2
y = 2 / 4
y = 1 / 2
y = 0.5
Substitute y = 0.5 in eq. 2,
- 2x + y = 1
- 2x + 0.5 = 1
- 2x = 1 - 0.5
- 2x = 0.5
x = 0.5 / - 2
x = - 0.25
The population of a town is 157,220 and is decreasing at a rate of 0.8% each year. Predict the population in 5 years (round to the nearest whole number).
Answer:
151,031
Step-by-step explanation:
If the population of a town is decreasing at 0.8% each year, the new population of the town will be [tex]100\%-0.8\%=99.2\%[/tex] of what it was last year. To find 99.2% of something, multiply it by 0.992. Therefore, we can write the following equation:
[tex]f(x)=157,220\cdot 0.992^x[/tex], where [tex]f(x)[/tex] is the population of the town [tex]x[/tex] years after the town had a population of 157,220.
Substitute [tex]x=5[/tex] into this equation to get the projected population after 5 years:
[tex]f(5)=157,220\cdot 0.992^5, \\f(5)=151031.019048,\\f(5)\approx \boxed{151,031}[/tex]
Therefore, in 5 years, the population should be 151,031.
Michael has less than $20 to spend for a taxi. The charge for the taxi is
$6 plus $2 per mile. Which of the following inequalities represents the
miles, m Michael can ride?
Answer:
2m + 6 < 20
Step-by-step explanation:
A flat $6 plus $2 per mile is represented as 2m + 6, with m as the number of miles you can go.
This 2m + 6 must be LESS THAN Michael's $20. Therefore, this gives us:
2m + 6 < 20
2m: $2 per mile
6: the initial cost
20: how much money Michael has
An item on sale costs 80% of the original price. The original price was $41.
Answer:
$32.80
Step-by-step explanation:
So you are trying to find out how much does the sale price cost?
Ok convert $41 into a decimal
$41 = $0.41
Then multiply 80% x $0.41
80 x $0.41 = 32.80
Answer:
$32.8
Step-by-step explanation:
Solve using a proportion
if 100%= $41 and 80% = x, then you cross multiply, and you get 100x = 41 (80), which would become 100x = 3280. Then you divide by 100 on both sides to get 32.8, which would be your answer!
The figure that will be formed if two 45° 45° 90° setsquares are put together is _________.
Examine circle O, where chords AB¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯ are congruent.
Point P lies on AB¯¯¯¯¯¯¯¯ and point Q lies on CD¯¯¯¯¯¯¯¯.
Angles APO and DQO are right angles.
The diagram as described in the problem.
Which congruence statement is true?
CD≅AP
QD≅QO
OP≅OQ
OP≅AB
Answer:
Option 3
Step-by-step explanation:
Given:
AB ≅ CD
Point P lies on AB and point Q lies on CD.
∠APO = ∠DQO = 90°
By theorem, if two chords in a circle are equal in measure, then they will be equidistant from the center.
Therefore, OP and OQ will be congruent.
Option (3) will be the answer.
The price of an item changed from $175 to $150. Later, the price decreased to $125. Which of the two decreases was larger in percentage and how much is it?
Answer:
The second decrease is larger at 16 1/6% decrease
Step-by-step explanation:
175 to 150
Take the original price minus the new price divided by the original price
(175 -150) /175 =25/175 = 1/7 =.142857143 = 14.28 % decrease
150 to 125
Take the original price minus the new price divided by the original price
( 150-125)/150 = 25/150 = 1/6 =.16666 = 16 1/6 % decrease
The second decrease is larger at 16 1/6% decrease
If F is conservative, find all potential functions f for F so that F = ∇f. (If F is not conservative, enter NOT CONSERVATIVE. Use C as an arbitrary constant.)
Answer: some parts of your question is missing below is the missing data
Determine if the given vector field F is conservative or not. F = −6e^y, (−6x + 3z + 9)e^y, 3e^y
answer:
F is conservative
F = -6xe^y + ( 33 + 9 ) e^y + C
Step-by-step explanation:
The Potential functions for F so that F = ∇f.
F = -6xe^y + ( 33 + 9 ) e^y + C
attached below is a detailed solution
Question 3
1 pts
Students from Mr. Caldwell's Spanish class are saving money for a summer
trip to Barcelona, Spain. Each student needs to raise $1,080 to be able to
attend the trip. This amount represents an increase of 12.5% over the cost of
the trip last year. How much did the trip to Barcelona cost last year?
O $850
$960
$1,215
$1,030
Answer:
$960
Step-by-step explanation:
Let the original amount be = x
Percentage increase is equal to = 12.5%
final amount = original amount + increase
final amount = x + 0.125x
final amount = 1.125x
final amount = 1080 = 1.125x
and then solve for x
[tex]x = \frac{1080}{1.125} \\ \\ x = 960[/tex]
so in the end x is equal to $960
Solve the equation: 1080 = 1.25x
please help me for this
The following data show the lengths of boats moored in a marina. The data are ordered from smallest to largest: 16; 17; 19; 20; 20; 21; 23; 24; 25; 25; 25; 26; 26; 27; 27; 27; 28; 29; 30; 32; 33; 33; 34; 35; 37; 39; 40. Calculate the mean, median and mode.
Answer: Mean = 27.33
Median = 27
Mode = 25 and 27
Step-by-step explanation:
1. Mean is the addition of all the numbers divided by how many numbers that are there.
Mean = (16 + 17 + 19 + 20 + 20 + 21 + 23 + 24 + 25 + 25 + 25 + 26 + 26 + 27 + 27 + 27 + 28 + 29 + 30 + 32 + 33 + 33 + 34 + 35 + 37 + 39 + 40) / 27
Mean = 738/27
Mean = 27.33
2. Median is the number in the middle in the ascending or descending other and this will be:
Median = 27/2 = 13.5 = 14th number = 27.
The median is 27.
3. Mode is the number that appears most and this will be 25 and 27 since they appear thrice which is the most times
PLEASE HELP!! Angle K has a measure of 83° and is reflected across the line y = 2 to get angle K'.
What is the measure of angle K'?
Enter your answer as the correct value, like this: 42
Answer:
[tex]K' = 83^o[/tex]
Step-by-step explanation:
Given
[tex]K = 83^o[/tex]
Reflection: [tex]y= 2[/tex]
Required
K'
The general rule is that, reflection does alter measurements (angles or lengths).
So, this means that K' will have the same measure as K.
i.e.
[tex]K' = K[/tex]
[tex]K' = 83^o[/tex]
What is the area of this polygon
Answer:
51
Step-by-step explanation:
1. Approach
One is given the polygon, (ABCDE); the problem asks one to find the area of this polygon. The most logical step to take is to divide this polygon into easier parts, find the area of each part, and then add up the area to find the total area of the figure.
One way to divide this figure up is to draw the line (AC). This will create the triangle (ABC) and rectangle (ACDE).
2. Find the area of (ABC)
The formula to find the area of a triangle is the following:
[tex]A=\frac{b*h}{2}[/tex]
Where (b) is the base of the triangle, and (h) is the height. The base of the triangle (ABC) is (AC), which has a measure of (6) units. The height of the triangle is the distance from the base of the triangle to the vertex opposite the base. This measurement is (3) units. Substitute these values into the formula and solve for the area:
[tex]A=\frac{b*h}{2}[/tex]
Substitute,
[tex]A=\frac{6*3}{2}\\\\A=\frac{18}{2}\\\\A=9[/tex]
3. Find the area of (ACDE)
The formula to find the area of a rectangle is as follows:
[tex]A=b*h[/tex]
The base of the rectangle is the segment (AE), with a measure of (7) units. The height of the rectangle is the segment (AC) with a measurement of (6) units. Substitute these values into the formula and solve for the area:
[tex]A=7*6\\\\A=42[/tex]
4. Find the area of the total figure
To find the area of the total figure, add up the area of the triangle, and the area of the rectangle:
[tex]9+42= 51[/tex]
Two boys are running track. They decide to start in the northwest corner and go opposite directions around the rectangular track. If the width of the track is 150 yards and the diagonal is 240 yards, what is the length of the track?
The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The length of the rectangular track is 187.35 yards.
The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The size of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides, according to this rule.
Given the width of the track is 150 yards and the diagonal of the track is 240 yards. The length of the track is,
(Diagonal)² = (Length)² + (Width)²
240² = Length² + 150²
Length = √(240²-150²)
Length = 187.35 yards
Hence, the length of the rectangular track is 187.35 yards.
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Solve the equation P=s+t+r for s.
Answer:
[tex]\huge\boxed{\boxed{s=P-t-r}}[/tex]
Step-by-step explanation:
[tex]P=s+t+r\qquad|\text{subtract}\ t\ \text{and}\ r\ \text{from both sides}\\\\P-t-r=s+t+r-t-r\\\\P-t-r=s\Rightarrow\boxed{s=P-t-r}[/tex]
What is the value of x that makes l1||12?
A. 11.3
B. 14
C. 22
D. 10
Answer:
[tex](8x - 14) + (2x + 54) = 180 \\ 8x + 2x - 14 + 54 = 180 \\ 10x - 14 + 54 = 180 \\ 10x + 40 = 180 \\ 10x = 180 - 40 \\ 10x = 140 \\ x = \frac{140}{10} \\ x = 14[/tex]
A cylindrical roller is 4m long. Its diameter is 1.4m. How many metres does it travel in 500 revolution?
Step-by-step explanation:
the answer is in the image above
Review the data you collected for the angles in Question 2. Notice that ∠CFB is one of four angles formed by the two intersecting chords. What relationship do you observe that could help you determine the measure of any of the four angles created by two intersecting chords? Write the relationship as an equation.
Answer:
The measure of an angle created by two intersecting chords is half the sum of the measure of the intercepted arc and the measure of the arc vertically opposite to the angle. In this case, I can write m∠CFB = 1/2(m∠CAB + m∠EAD) because the measure of an intercepted arc is equal to the measure of its corresponding central angle.
Explanation:
sample answer from edmentum
The business college computing center wants to determine the proportion of business students who have personal computers (PC's) at home. If the proportion differs from 30%, then the lab will modify a proposed enlargement of its facilities. Suppose a hypothesis test is conducted and the test statistic is 2.5. Find the P-value for a two-tailed test of hypothesis.
Answer:
The appropriate answer is "0.0124".
Step-by-step explanation:
Given:
Test statistics,
z = 2.5
By using the z-table,
p value for one tailed test will be:
= 0.0062
For two-tailed test,
⇒ [tex]p \ value = 2\times 0.0062[/tex]
[tex]=0.0124[/tex]
The length of a rectangle is 3 times the width. The perimeter of the rectangle is 64 cm. Show the equation that would be used to find the dimensions of the rectangle.
Answer:
64 = 2(3x + x)
Step-by-step explanation:
Perimeter of the rectangle = 64 cm
Width of the rectangle = x
Length of the rectangle = 3x
Perimeter of a rectangle = 2(length + width)
The equation is
64 = 2(3x + x)
64 = 6x + 2x
64 = 8x
x = 64/8
x = 8 cm
Width of the rectangle = x = 8 cm
Length of the rectangle = 3x
= 3(8 cm)
= 24 cm
Which function is shown in the graph below? Please hurry I’m being timed!!!