Answer:
5 terms
Step-by-step explanation:
The formula for the volume of a sphere is given below and the relationship between the radius r and the diameter d is r=d/2. Find the EXACT volume of the sphere in terms of the diameter d. Be sure to fully simplify the expression
Answer:
for the volume of the sphere its answer is 4πr³/3 which when converted to diameter will be 2(4πr³/3) as r=diameter/2 so diameter =2r
Answer:
4πr³/3
Step-by-step explanation:
When converted to diameter will be 2(4πr³/3) as r=diameter/2 so diameter =2r
the formula C = 6p + 200 gives C , the total cost in dollars of hosting a birthday party for p guests at a local ice cream parlor .
A : solve the formula for p .
B : isabella can spend $350 for her birthday party . how many people can she invite ?
FREE BRAINLIEST. LOOK AT PHOTO AND ANSWER LIKE STEP1 , STEP 2.
Answer:
Step 1 16+24-18
Step 2) 22
Step-by-step explanation:
Help plz:)))I’ll mark u Brainliest
Answer:
[tex]x=1,CD=5[/tex]
Step-by-step explanation:
It's given that [tex]ABCD\cong FGHJ[/tex]. Because the side [tex]CD[/tex] corresponds with the side [tex]HJ[/tex], their lengths will be equal. Therefore, we have:
[tex]2x+3=3x+2,\\x=1[/tex]
Plugging [tex]x=1[/tex], we have:
[tex]CD=2(1)+3=5[/tex].
Find the missing side or angle.
Round to the nearest tenth.
B=18°
C=152°
b=4
c=[ ? ]
Answer:
c = 6.1
Step-by-step explanation:
Given that: B = 18° , C = 152°, and b = 4.
The missing side, c, can be determined by applying the sine rule which states that:
[tex]\frac{b}{Sin B}[/tex] = [tex]\frac{c}{Sin C}[/tex]
[tex]\frac{4}{Sin 18^{o} }[/tex] = [tex]\frac{c}{Sin 152^{o} }[/tex]
c = [tex]\frac{4* Sin 152^{o} }{Sin 18^{o} }[/tex]
= [tex]\frac{1.8779}{0.3090}[/tex]
= 6.0773
c = 6.1
Therefore, the value of the missing side, c, is 6.1
Which equation represents the line passing through the points (-2,4) and
(2,8)?
A. y = -x + 2
B. y = -x + 6
C. y = x +4
D.y = x + 6
Answer:
D
Step-by-step explanation:
plug in both values into the equations, and whichever one works for both is the right answer
the required equation is, D. y= x+6
What is a straight line?A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.
Here, we have to points (-2,4) and, (2,8)
So, by using the formula of equation of straight line of two-point form, we get,
(y-y_1)/(x-x_1 )=(y_2-y_1)/(x_2-x_1 )
=>(y-4)/(x+2)=(8-4)/(2+2)
=>y-4=x+2
=>y=x+6
Hence, the required equation is, D. y= x+6
To learn more on Equation 0f Straight-Line click:
brainly.com/question/11116168
#SPJ5
1. You notice that you only have 13 pound of cheese and 34 cup of milk. How much
more cheese and milk will you need to get?
2. What if the store only sells the cheese in 1-pound packages and the milk in 4-cup Cartoons? How many of each would u need to buy, and how much would you have left over?
3. Now you decide to mix the dry mustard and salt ahead of time to make a seasoning mix. Add the two ingredients to show how much of the seasoning mix you have.
Answer:
Yoyo
Step-by-step explanation:
how is the graph of f(x)=-3x^2-4 different from the graph of f(x)=-3x^2 ?
Answer:
B
Step-by-step explanation:
rules:
add outside the function : f(x) ± a; will shift a + up / a- down
add inside the function: f(x ± a); will shift a + left / a- right
so if
f(x) becomes f(x) -4 will be shifting down 4 units
three integers have a mean of 7, a median of 5 and a range of 14. find the three integers
Answer:
1, 5, 15
Step-by-step explanation:
First, I knew 5 was one of them because, 5 was the median and there were only three numbers. Next you have to find out the first and last number. Then, I looked at the mean. To get the mean, you have to add all of the numbers up and divide that by how many numbers there are. Since the mean is 7 and there are 3 numbers, I knew that the sum of all three numbers was 21 because, 21 divided by 3 is 7. Then I saw that the range of all the numbers was 14. The range is the difference between the largest and smallest number so I knew that the largest number subtracted by the smallest number had to be 14. Then, I saw that 15-1=14, and 1+5+15=21. So the three integers are, 1, 5 and 15.
help please 21/r = 15/14
Answer:
19.6 Don't ask how just give brainliest
Answer:
19.6
Step-by-step explanation:
Which expression is equivalent to 20+64
a.4+(16+60)
b.4+(5+16)
c.4+(16+60)
d.4(5+16)
Answer:
D. 4 (5 + 16)
Step-by-step explanation:
20 + 64 = 84
To solve this problem we have to simplify each of the expressions in the answer column:
A. = 80
(16 + 60 = 76) giving us
4 + 76 = 80
B. = 25
(5 + 16 = 21)
4 + 21 = 25
C. = 80
(16 + 60 = 76)
4 + 76 = 80
D. = 84
(5 + 16 = 21)
4 x 21 = 84
So The correct option is D. 4 (5 + 16)
To manufacture 30 items, it costs $2700, and to manufacture 50 items, it costs $3200. If x represents the number of items manufactured and y the cost, write the cost function.
a. Y= -25X + 4450
b. Y = 500 X 21,800
c. Y = 0.04X + 3198
d. Y = 25X + 1950
Answer:
[tex]y = 25x +1950[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (30,2700)[/tex]
[tex](x_2,y_2) = (50,3200)[/tex]
Required
Determine the linear function
We start by calculating the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
So, we have:
[tex]m = \frac{3200 - 2700}{50 - 30}[/tex]
[tex]m = \frac{500}{20}[/tex]
[tex]m = 25[/tex]
The equation is then calculated as:
[tex]y - y_1 = m(x - x_1)[/tex]
This gives:
[tex]y - 2700 = 25(x - 30)[/tex]
[tex]y - 2700 = 25x - 750[/tex]
Make y the subject
[tex]y = 25x - 750 + 2700[/tex]
[tex]y = 25x +1950[/tex]
Find each difference.
A: (−5)−6
B: 35−(−8)
C: −438−(−114)
Answer:
A = -11
B = 43
C = -324
Step-by-step explanation:
-5 - 6 = -11
35 + 8 = 43
-438 + 114 = -324
What is the product of the radical expression?
(7- sqrt7)(-6 + sqrt7)
Given:
The expression is
[tex](7-\sqrt{7})(-6+\sqrt{7})[/tex]
To find:
The product of the radical expression.
Solution:
We have,
[tex](7-\sqrt{7})(-6+\sqrt{7})[/tex]
Using distributive propertry, we get
[tex]=(7)(-6)+(7)(\sqrt{7})+(-\sqrt{7})(-6)+(-\sqrt{7})(\sqrt{7})[/tex]
[tex]=-42+7\sqrt{7}+6\sqrt{7}-7[/tex]
On combining like term, we get
[tex]=(-42+7)+(7\sqrt{7}+6\sqrt{7})[/tex]
[tex]=-49+13\sqrt{7}[/tex]
Therefore, the product of the given radical expression is [tex]-49+13\sqrt{7}[/tex].
CAN SOMEONE PLEASE HELP IVE BEEN ASKING FOREVER FOR SOME HELP
Answer:
i believe its b. but im not 100% sure though!
Step-by-step explanation:
please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!
(lol optional): add my sc: tealyn337
1/3 as a percent I REALLLLYY NEED GOUR HELPP
Answer:
33% or 33.3% or 33.33%
Step-by-step explanation:
1/3 as a decimal is 1 divided by 3 which ends up being an infinite number: 0.33333333333333333333333...
But you can write it as 33% or 33.3% or 33.33%
The table shows the numbers of seeds the owners of pumpkin patch farms received from different seed suppliers. Each of the pumpkins they harvest usually weighs between 10 and 12 pounds. There are 60 rows and the farmers will plant the same number of seeds in each row. How many seeds will they plant in each row
Answer:I’m trying to find it too
Step-by-step explanation:I don’t know what it is but I’m sure it’s 12-90
The mean amount purchased by a typical customer at Churchill's Grocery Store is $27.50 with a standard deviation of $7.00. Assume the distribution of amounts purchased follows the normal distribution. For a sample of 68 customers, answer the following questions
a. What is the likelihood the sample mean is at least $30.00?
b. What is the likelihood the sample mean is greater than $26.50 but less than $30.00?
c. Within what limits will 90 percent of the sample means occur?
Answer:
a) 0.0016 = 0.16% probability that the sample mean is at least $30.00.
b) 0.8794 = 87.94% probability that the sample mean is greater than $26.50 but less than $30.00
c) 90% of sample means will occur between $26.1 and $28.9.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, 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.
In this question, we have that:
[tex]\mu = 27.50, \sigma = 7, n = 68, s = \frac{7}{\sqrt{68}} = 0.85[/tex]
a. What is the likelihood the sample mean is at least $30.00?
This is 1 subtracted by the pvalue of Z when X = 30. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem, we have that:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{30 - 27.5}{0.85}[/tex]
[tex]Z = 2.94[/tex]
[tex]Z = 2.94[/tex] has a pvalue of 0.9984
1 - 0.9984 = 0.0016
0.0016 = 0.16% probability that the sample mean is at least $30.00.
b. What is the likelihood the sample mean is greater than $26.50 but less than $30.00?
This is the pvalue of Z when X = 30 subtracted by the pvalue of Z when X = 26.50. So
From a, when X = 30, Z has a pvalue of 0.9984
When X = 26.5
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{26.5 - 27.5}{0.85}[/tex]
[tex]Z = -1.18[/tex]
[tex]Z = -1.18[/tex] has a pvalue of 0.1190
0.9984 - 0.1190 = 0.8794
0.8794 = 87.94% probability that the sample mean is greater than $26.50 but less than $30.00.
c. Within what limits will 90 percent of the sample means occur?
Between the 50 - (90/2) = 5th percentile and the 50 + (90/2) = 95th percentile, that is, Z between -1.645 and Z = 1.645
Lower bound:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]-1.645 = \frac{X - 27.5}{0.85}[/tex]
[tex]X - 27.5 = -1.645*0.85[/tex]
[tex]X = 26.1[/tex]
Upper Bound:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]1.645 = \frac{X - 27.5}{0.85}[/tex]
[tex]X - 27.5 = 1.645*0.85[/tex]
[tex]X = 28.9[/tex]
90% of sample means will occur between $26.1 and $28.9.
Find the area of the Composite Shape.
PLEASE HELP!
Answer:
[tex]\large\boxed{41.14 inches^2(2 d.p)}[/tex]
[tex]\large\boxed{41.1inches^2 (1 d.p)}[/tex]
Step-by-step explanation:
Important Information:
Area of a circle= [tex]\pi r^2[/tex]
Area of a triangle= [tex]\frac{base*height}{2}[/tex]
Diameter of a cirlce= [tex]2*radius[/tex]
Method:
The first step is to divide the shape into smaller shapes. In this case, we have a right -angled triangle and a semi-circle.
The next step is to work out the area of the triangle. Since we know the radius of the semi-circle is 3 inches, to work out the diameter we would simply multiply the radius of 3 by 2, this gives us 6 inches. This is because the radius is half of the diameter.
Now that we know the diameter of the semi-cirlce, we can begin to work out the area of the triangle. We can do this by first multiplying the base of 6 inches by the height of 9 inches, this gives us 54 inches squared. This however gives us the area of 2 of those triangles. To work out the area of that triangle, we would need to divide the value of 54 by 2, this gives us 27 inches squared.
The next step is to work out the area of the semi-circle. We can do this by multiplying pi by the radius of 3, squared, this gives us 28.27 inches squared (2 d.p). However, this is for a full circle and we need to work out the area of the semi-circle. We can do this by dividing the area of the circle, which is 28.27, by 2, this gives us 14.14 inches squared (2 d.p). This is because a semi-cirlce is half of a circle.
The final step is to add the Areas of the two shapes together. You can do this by adding the area of the triangle, which is 27 inches squared, to the area of the semi circle, which is 14.14 inches squared (2 d.p), this gives us 41.14 inches squared (2 d.p).
Step by Step:
1) Multiply 3 by 2.
[tex]3*2=6[/tex]
2) Multiply 6 by 9.
[tex]6*9=54 inches^2[/tex]
3) Divide 54 by 2.
[tex]54/2=27inches^2[/tex]
4) Multiply pi by 3 squared.
[tex]\pi*3^2=28.27 inches^2 (2 d.p)[/tex]
5) Divide 28.27 by 2.
[tex]28.27/2=14.14inches^2 (2 d.p)[/tex]
6) Add 27 to 14.14.
[tex]27+14.14=41.14inches^2 (2 d.p)[/tex]
35 points! Will mark Brainliest! Real answers only!
Answer:
Ty for the free poiunts!
Step-by-step explanation:
You got the answer right LLO
Answer:
Yea the answer is right
Step-by-step explanation:
Solve the system by substitution.
y = -5x + 40
Y = 32
Submit Answer
Answer:
The answer is (-8/5,32) in point form or x=-8/5,y=32
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
which of the following equations would have 2 x-intercepts
Answer:
None of these
Step-by-step explanation:
because if we plug in every time we will gwt one solution of X
The value of x in this system of equations is 1.
3x + y = 9
y = –4x + 10
What is the value of y?
Tristan can walk 3 miles in one hour. At this rate, how far will Tristan walk in 4 hours?
Answer:
12 miles
Step-by-step explanation:
sometimes looking at the units is helpful.
How far Tristan will walk is measured in miles.
3 miles/hour * 4 hours has a unit of miles * hour/hour = miles
3*4 = 12
Answer:
12 Miles
Step-by-step explanation:
Multiply 3 by 4
9(x-4) -7x=32-2(x+8)
Answer:
x=13
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
using distributive property:
9x-36-7x=32-2x-16
2x-36=16-2x
4x=52
x= 13
plz brainliesttt
What is the equation of the line in slope-intercept form?
O Y=2x-8
O y = 2x+8
O y=8x-2
O y = 8x+2
Step-by-step explanation:
since b = 8, it has to be
y = 2x + 8
that was the whole point of the exercise, as the general slope-intercept form is
y = mx + b
you determined m = 2 and b = 8, so there is your answer. I am not sure where your problem was, as you solved the actual important part yourself.
HELP PLEASE HELP
What is the solution for 3 ≥ y − 2
y ≤ 5
i think this is the answer..
please help asap no trolls will give brainliest!!!
Step-by-step explanation:
The longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.
So the smallest angle is <P.
Hope it may help :)
There are 4 boys eating oranges. Each boy eats 1 / 2 of an orange. How many oranges did the boys eat?
Answer:
2 oranges
Step-by-step explanation:
Two halves make a whole orange, and since there's four of them, they are eating 2 oranges.
Answer:they would have eaten 2 because 1/2+1/2 is a whole and since there are 4 boys eating 1/2 of an orange they would have eaten 2 oranges
Need help asap please
Answer:
the 4th one hope this helps