Answer:
Step-by-step explanation:
supplementary angles: either of two angles whose sum is 180°.
adjacent angles: Adjacent angles are two angles that have a common vertex and a common side but do not overlap.
A cooler is in the shape of a right rectangular prism. If the cooler is 3 1/2 feet long, 2 5/6 feet wide, and 1 foot deep, what is the volume of the cooler ?
Select the correct answer.
Mariah is shopping for pencils and erasers to give to her piano students. She can purchase at most 50 total items. She wants the
number of pencils purchased to be greater than the square of the number of erasers.
Create a system of inequalities to model this situation, and use it to determine how many of the solutions are viable. Which statement
is true about the solution of this system?
No part of the solution region is viable because the number of pencils and erasers purchased cannot be negative.
Part of the solution region includes a negative number of pencils purchased; therefore, not all solutions are viable for the
given situation
The entire solution region is viable.
Part of the solution region includes a negative number of erasers purchased; therefore, not all solutions are viable for
the given situation.
Answer:
D. Part of the solution region includes a negative number of erasers purchased; therefore, not all solutions are viable for the given situation.
Step-by-step explanation:
I got it right on the practice
Answer:
Part of the solution region includes a negative number of erasers purchased; therefore, not all solutions are viable for
the given situation.
The diameter of a cylindrical construction pipe is 6ft. If the pipe is 32 long, what is its volume?
Use the value 3.14 for pie , and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
Answer:
[tex] V_{pipe} \approx 904 \: {ft}^{3} [/tex]
Step-by-step explanation:
Diameter of the pipe = 6 ft
Therefore, radius (r) = 6/2 = 3 ft
Height of pipe (h) = 32 ft
Since, pipe is cylindrical in shape.
[tex] \therefore \: V_{pipe} =\pi {r}^{2} h \\ \\ \therefore \: V_{pipe} =3.14 {(3)}^{2} (32)\\ \\ \therefore \: V_{pipe} =3.14 {(3)}^{2} (32) \\ \\ \therefore \: V_{pipe} = 904.32 \\ \\ \therefore \: V_{pipe} \approx 904 \: {ft}^{3} [/tex]
Hence, the volume of pipe in nearest whole number is 904 cubic feet.
Find the equation of the line parallel to y=-11-5, that passes through the point
(4, -3). Write your answer in slope-intercept form. Do not use spaces in your
answer. Enter any fractions like a/b or-a/b.
Answer:
y=41−11x
Step-by-step explanation:
The equation of the line in the slope-intercept form is y=5−11x.
The slope of the parallel line is the same: m=−11.
So, the equation of the parallel line is y=−11x+a.
To find a, we use the fact that the line should pass through the given point: −3=(−11)⋅(4)+a.
Thus, a=41.
Therefore, the equation of the line is y=41−11x.
Answer: y=41−11x.
Answer:
y=41−11x
Step-by-step explanation:
The equation of the line in the slope-intercept form is y=5−11x.
The slope of the parallel line is the same: m=−11.
So, the equation of the parallel line is y=−11x+a.
To find a, we use the fact that the line should pass through the given point: −3=(−11)⋅(4)+a.
Thus, a=41.
Therefore, the equation of the line is y=41−11x.
A stretch of highway has a 4% uphill grade. This means that the road rises 1 foot for every 25 feet of horizontal distance. The beginning of the highway (x = 0) has an elevation of 2,225 feet. Write an equation for this stretch of roadway ini point-slope form.
Answer:
The equation for this stretch of roadway in point-slope form is [tex]y - 2225 = 0.04x[/tex]
Step-by-step explanation:
Equation in point-slope form:
The equation of a line in point-slope form is given by:
[tex]y - y_0 = m(x - x_0)[/tex]
In which [tex](x_0,y_0)[/tex] is the point and m is the slope.
A stretch of highway has a 4% uphill grade. This means that the road rises 1 foot for every 25 feet of horizontal distance.
This means that [tex]m = 0.04[/tex]
The beginning of the highway (x = 0) has an elevation of 2,225 feet.
This means that [tex](x_0,y_0) = (0,2255)[/tex]. So
[tex]y - y_0 = m(x - x_0)[/tex]
[tex]y - 2225 = 0.04(x - 0)[/tex]
[tex]y - 2225 = 0.04x[/tex]
The equation for this stretch of roadway in point-slope form is [tex]y - 2225 = 0.04x[/tex]
If the perimeter of each of the seven regular hexagons in the figure shown is 24, what is the perimeter of the figure?
Answer:
the answer is 144(that is 6×24)
The Office of Student Services at a large western state university maintains information on the study habits of its full-time students. Their studies indicate that the mean amount of time undergraduate students study per week is 20 hours. The hours studied follows the normal distribution with a population standard deviation of six hours. Suppose we select a random sample of 150 current students. What is the probability that the mean of this sample is between 19.25 hours and 21.0 hours
Answer:
0.8254 = 82.54% probability that the mean of this sample is between 19.25 hours and 21.0 hours
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 20 hours, standard deviation of 6:
This means that [tex]\mu = 20, \sigma = 6[/tex]
Sample of 150:
This means that [tex]n = 150, s = \frac{6}{\sqrt{150}}[/tex]
What is the probability that the mean of this sample is between 19.25 hours and 21.0 hours?
This is the p-value of Z when X = 21 subtracted by the p-value of Z when X = 19.5. So
X = 21
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{21 - 20}{\frac{6}{\sqrt{150}}}[/tex]
[tex]Z = 2.04[/tex]
[tex]Z = 2.04[/tex] has a p-value of 0.9793
X = 19.5
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{19.5 - 20}{\frac{6}{\sqrt{150}}}[/tex]
[tex]Z = -1.02[/tex]
[tex]Z = -1.02[/tex] has a p-value of 0.1539
0.9793 - 0.1539 = 0.8254
0.8254 = 82.54% probability that the mean of this sample is between 19.25 hours and 21.0 hours
Select all values equivalent to -10/7
A. -10/-7
B. -3 1/7
C. -10
- _
-7
D. 1 3/7
E. -1 3/7
Answer:
A)-10/-7 I hope the answer is correct . I will be happy when I get 5 points
The right rectangular prism is filled with cubes that have a side length of 1/8 foot.
How many cubes does it take to fill the prism? (please just give me an exact answer.) (I WILL GIVE BRAINLIST) (please just help me)
Answer:
24
Step-by-step explanation:
To find the volume of the cube just cube one of the sides, so 1/8^3 is 1/512
Yes it's the actual volume, it didn't get smaller it's just cubic inches instead of a line.
The rectangle's volume is 1/4*3/8*1/2 which if you change them to have the same denominator it's 2/8*3/8*4/8=3/64
Now convert 3/64 to have a denominator of 512
3/64*8/8= 24/512
24/512 divided by 1/512 is 24
You can fit 24 cubes in the rectangle.
PLEASE HELP! I WILL GIVE YOU BRAINLIEST! Peter walked around a park three times. How many miles did he walk?
Answer:
20.7 miles
Step-by-step explanation:
1 + 2 = 3
1.6 + 2.3 = 3.9
3.9 + 3 = 6.9
6.9 x 3 = 20.7
Solve the system of equations.
2y+7x=−5
5y−7x=12
We can solve this by substitution method.
Look at the second equation. If we rearrange to find 7x, we can substitute in the value into the first equation.
[tex]5y-7x=12[/tex]
[tex]5y-7x-12=0[/tex]
[tex]5y-12=7x[/tex]
Therefore, [tex]7x=5y-12[/tex]
Now replace the 7x in the first equation with 5y - 12:
[tex]2y+7x=-5[/tex] (substitute in 7x = 5y - 12)
[tex]2y+(5y-12)=-5[/tex]
[tex]7y-12=-5[/tex]
[tex]7y=7[/tex]
[tex]y=1[/tex]
Now that we know y, we can find x by substituting in y = 1 into any equation we want. I will use the equation: 7x = 5y - 12
[tex]7x=5y-12[/tex] (substitute in y = 1)
[tex]7x=5(1) -12[/tex]
[tex]5x=5-12[/tex]
[tex]7x=-7[/tex]
[tex]x=-1[/tex]
__________________________________________________________
Answer:
[tex]y=1\\x=-1[/tex]
There are 15 doughnuts.
Antoine eats a third of the
doughnuts. How much did he
eat? How many doughnuts are
left?
15. Which best reflects a correct conversion of an equation in exponential form to logarithmic form?
Answer:
[tex]5^x = 25[/tex]
[tex]\log_525 = x[/tex]
Step-by-step explanation:
Given
Convert from exponential to logarithm
(a) to (d)
Required
Which of the options is correct
Given that:
[tex]a^b = c[/tex] --- Exponential
The logarithm form is:
[tex]b = \log_ac[/tex]
From (a) to (d), only option (c) is correct.
Because it follows the above pattern
i.e.
[tex]5^x = 25[/tex] [tex]\to[/tex][tex]\to[/tex] [tex]a^b = c[/tex]
[tex]a = 5[/tex] [tex]b = x[/tex] [tex]c = 25[/tex]
[tex]b = \log_ac[/tex] becomes
[tex]x = \log_525[/tex]
or
[tex]\log_525 = x[/tex]
x + a = c , solve for x
Answer:
Step-by-step explanation:
x+a=c
x=c-a
if emma had 3/9 cookie's and sophia had 9/8 how much wood that be in all
A family is having a pool party built in their backyard. If the Yard is rectangular and measures 10x by 10x in the pool is circular with a radius of 2x how much of the yard will be left over after the pool is built. Write your answer in factored form
1. (100-4pi)x^2
2. 100x^2-4pi(x)^2
3. (100+4pi)x^2
4. 100x^2+4pi(x)^2
Literally have the same question on my test and i dont know if i got it right or wrong. I know it has nothing to do with this :/ im sorry.
PLEASE HELP 7TH GRADE MATH
BRAINLIEST-SHOWS WORK
PLEASE HELP
ANSWE 1 OR MORE AN WILL MARK BRAINLIEST 1 OR MORE
Answer:
Slope=-3/4
Step-by-step explanation:
The slope is the rise/run or y/x
Points given for A are (-4, 3), for B (4, -3)
The formula for slope is m=y^2-y^1/x^2-x^1
https://calcworkshop.com/graphing-linear-equations/slope-formula/
So we'll plug in the information given into the formula.
-4-4/3--3
-8/3+3
-8/6
so our slope is m=-3/4
BEEN STUCK FOR A WHILE PLEASE HELP!! Find the perimeter and area for the triangle. Be sure to write the formula, and use correct measure.
Answer:
Area = 77ft²
Perimeter = 44 9/20 feets feets
Step-by-step explanation:
Area of a triangle = 1/2 * base * height
Base = 19 1/4 feets = 77/4 feets
Height = 8 feets
Area = 1/2 * 77/4 * 8
Area = (77 * 8) / 8
Area = 77 feet²
Perimeter of a triangle :
Sum of the sides
Perimeter = a + b + c
Perimeter = 19 1/4 + 10 + 15 1/5
Perimeter = 44 + (1/4 + 1/5)
Perimeter = 44 9/20 feets
William friend has 18 dogs 14 cats and 4 guinea pigs what are the ratio
Answer:
18:14:4
Step-by-step explanation:
Cats to dogs: 3 to 4 or 3/4 or 3:4 There are three cats to four dogs. Dogs to cats: 4 to 3 or 4/3 or 4:3 There are four dogs to three cats. Cats to total animals: 3 to 7 or 3/7 or 3:7 There are three cats to all the animals. Dogs to total animals: 4 to 7 or 4/7 or 4:7 There are four cats to all the animals.
fast brainleist on line and 40
Answer:
1/40
Step-by-step explanation:
Constant of Variation
Given that f(x) = 2/x² and g =(x) = 13/x²
What is the domain of the functions f and g?
a. only positive integers
b. All non zero real numbers
c. only negative integers
d. All real numbers including zero
Please select the best answer from the choices provided
Answer:
B. All non zero real numbers
Step-by-step explanation:
I calculated it logically
You buy halibut at $19 per pound. One portion of seared halibut requires 6 ounces of halibut. How much does the halibut for one portion cost
Answer:
$7.125
Step-by-step explanation:
1 lb = 16 oz
Cost per ounce
19 / 16 = $1.1875/oz
Cost for 6 oz portion
6 * 1.1875 = $7.125
13. A car travels at a speed of 55 km/h. Find the distance travelled by the car in 12minutes 30 seconds, giving your answer in meters.
Answer:
11.46 meters
Step-by-step explanation:
12min 30sec = 12.5min
55km/h * 12.5min * 1h/60min = 11.4583333333meters
Which of the following type of tax is NOT withheld from earnings?
Answer:
Following what?
Step-by-step explanation:
I'll go with Sales Tax
what is a set of ordered pairs of real numbers ?
Answer:
order pair of real number is (2,3) is given by the first number 2 and the second number 3 Example (a,b).
The following cone has a slant height of 17 cm and a radius of 8 cm.
What is the volume of the cone?
Please explain!
The volume of the cone is 1004.8 cm³
What is volume?The amount of space occupied by a three-dimensional figure as measured in cubic units.
given: l= 17 cm and r =8 cm
h= √l²-r²
= √17²-8²
=√289-64
= √225
h=15 cm
Volume of cone =1/3* π* r²*h
= 1/3*3.14* 8*8*15
= 1/3*3.14* 8*8*15
=1004.8 cm³
Hence, the volume of cone is 1004.8 cm³.
Learn more about volume here:
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What is the name of the shape graphed by the function theta = -pi/6?
A.Line
B.Lemniscate
C.Limacon with inner loop
D. Circle
Answer:
D. Line
Step-by-step explanation:
If there are equals -pi/6 and nothing else then it’s going to be a line.
The shape graphed by the function Ф = [tex]\frac{-\pi }{6}[/tex] is a line .
What is graphed by function means?The graph of a function f is the set of all points in the plane of the form (x, f(x)). We could also define the graph of f to be the graph of the equation y = f(x). So, the graph of a function if a special case of the graph of an equation.
What is constant function?A constant function is a function whose value is the same for every input value. For example, the function y(x) = 4 is a constant function because the value of y(x) is 4 regardless of the input value x. The graph of the constant function y = c is a horizontal line in the plane that passes through the point (0, c).
According to the question
The name of the shape graphed by the function
Ф = [tex]\frac{-\pi }{6}[/tex]
As we can see that Ф is a constant function
and per definition of constant function :
A constant function is a function whose value is the same for every input value and the graph of the constant function y = c is a horizontal line in the plane that passes through the point (0, c).
i.e
graphed by the function
Ф = [tex]\frac{-\pi }{6}[/tex]
will be a horizontal line which passes through point (0, [tex]\frac{-\pi }{6}[/tex] )
Hence, the shape graphed by the function Ф = [tex]\frac{-\pi }{6}[/tex] is a line .
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what fraction is equal to 50% of 1/3?
Step-by-step explanation:
50% × 1/3
= 1/2 × 1/3
= 1/6
-------
Write an equation that shows how much money they would make (y) if
they worked x hours with an hourly rate of $10
Your answer
Answer:
y=10x
Step-by-step explanation:
10 is the slope or the rate of change.
Answer:
y = 10x
Step-by-step explanation:
y is your total, 10 is your amount per hour, you multiply the hourly rate by the number of hours.
Erin wants to raise her math grade to a 90 to improve her chances of winning a math scholarship. Her math average for the last marking period was an 75. What is the percent increase that Erin needs to improve her grade?
Answer:
20%
Step-by-step explanation:
She needs to improve her average by the difference between her 2 grades
That difference is 15 points and is a 20% increase
Using the fromula for increase/ initial value x 100= new %
so (90-75)/75 x 100 = 15/75 x 100 which is then equal to 20%