Answer:
diameter = 7 feet
Step-by-step explanation:
Circumference of the circle = pi x d
21.98 = 3.14 x d
d = 21.98/3.14
d = 7 feet
Part A
Juanita has an aquarium that is 5 feet long, 4 feet wide, and 2 feet deep.
What is the volume of the aquarium? Enter your answer in the box.
_______ft3
Part B
Juanita fills the tank with water so that it is 1 foot deep. What is the volume of the water?
_______ft3
Answer:
Part A: 40 cubic feet. Part B: 20 cubic feet
Step-by-step explanation:
Part A: 5×4×2 = 40 feet3
Part B: 5×4×1 = 20 feet3
10,20,40,80... find the common ratio for the geometric sequence
Answer:
2
Step-by-step explanation:
So the common ratio is simply what a number can be multiplyied by. To find this, all we have to do is see how many times one number goes into the one after it.
So lets take the 20(2nd number), lets divide it by 10(1st number). What do we get when we divide the numbers? We get 2. since 10 goes into 20, 2 times.
Lets see if the common ratio 2 checks out for the other numbers. What is 80(4th number) divided by 40(3rd number)? Well again, thats 2. Since 40 goes into 80, 2 times.
So, we can conclude that the answer is 2.
Answer:
I think the common ratio is 20
Step-by-step explanation:
Each number is 20 times the previous number, so the Common Ratio would have to be 10
I answered the question 3x-y=5 but is there a different way to answer this?
My answer:
I switched the y with the 3x
3x=y+5
Then I subtracted by 5
y=3x-5
Step-by-step explanation:
Hi,
I agree with what you did. You could also add y on both sides and get 3x = y + 5 and then divided by three to get...
x = 5 + y /3
(the 5 and y are being divided by 3)
But that's just complicated, it works, but it's complicated. What you did is correct and what I gave you is the value of x, but I'm 100 percent sure yours is correct.
Hope this helps
Answer and Step-by-step explanation:
Yes (technically), there is a different way to answer the equation 3x - y = 5. But, the first part of how you described it is a bit off.
Here is how you would explain it:
What you would do is Add y to both sides, then subtract 5 from both sides.
3x = y + 5
3x - 5 = y (aka y = 3x - 5)
The other way to solve:
3x - y = 5
Subtract 3x from both sides.
-y = -3x + 5
Now divide both sides by -1.
-1(-y) = -1(-3x + 5)
y = 3x - 5
If you want to solve for x, you would:
Add y to both sides of the equation.
3x = 5 + y
Then divide each side by 3.
x = [tex]\frac{1}{3}y[/tex] + [tex]\frac{5}{3}[/tex]
#teamtrees #PAW (Plant And Water)
What is the equation of the line that passes through the point (2,-4)(2,−4) and has a slope of 22?
This is from my algebra class, can anyone can answer this?
Answer:
y = (x + 1)^2 + 2
Step-by-step explanation:
The graph is 2 units up and 1 unit to the left
a = 1 because from the vertex, it goes 1 up when left/right, then 4 up when left/right
What is the distance between (5, -6) and (2, -6) on a coordinate plane?
Answer:
3 units is the answer..
hope it helps
A woman is q years old while her son is p years old. the sum of their ages is equal to twice the difference of their ages. the product of their ages is 675.
write down the equations connecting their ages and solve the equations in order to find the ages of the woman and her son. WAEC
Step-by-step explanation:
Given
[tex]q + p = 2(q - p)[/tex]
as equation 1.
I used q-p as the difference as logically the woman will be older than her son.
Also given,
[tex]qp = 675[/tex]
as equation 2.
Using equation 2,
[tex]q = \frac{675}{p} [/tex]
substitute this equation into equation 1.
[tex] \frac{675}{p} + p = 2( \frac{675}{p} - p) \\ \frac{675}{p} + p = \frac{1350}{p} - 2p \\ \frac{675}{p} - \frac{1350}{p} = - 2p - p \\ - 3p = - \frac{675}{p} \\ - 3p \times p = - 675 \\ - 3 {p}^{2} = - 675 \\ {p}^{2} = - 675 \div - 3 \\ {p}^{2} = 225 \\ p = \sqrt{225} \\ = 15[/tex]
Substitute P into equation 2.
[tex]15q = 675 \\ q = 675 \div 15 \\ = 45[/tex]
Therefore the woman is 45 years old while her son is 15 years old.
what letter does it match?
Answer:
B. Slope-intercept form is y = mx + b. M is slope, so it would be the one right in front of x which is -3 :)
Help ASAP! 40 points plus brainly !
Step-by-step explanation:
use the distance formula. calculate the distance between AB and then between CD showing AB = CD.
then use the distance formula on BC and AD, showing they are equal.
d=√((x_2-x_1)²+(y_2-y_1)²)
The length of a track around a field is 1/4 miles. You run 3 1/2 times
around the track. How far did you run?
Answer: 7/8 of a mile
I need help, please! ASAP.
Answer:
Formula for percent change is C = {x_2 - x_1}/{x_1}
C = relative change
x_1 = initial value
x_2 = final value
Step-by-step explanation:
Answer:
<_> daddy
Step-by-step explanation:
Write an equivalent expression.
−2(7+6g)
Choose the correct answer below.
A.
−2(7+6g)=6g−14
B.
−2(7+6g)=−2−12g
C.
−2(7+6g)=−14+6g
D.
−2(7+6g)=−14−12
please help lol
Find the area of the following shapes
Area of small rectange = 7 cm × 4 cm = 28 cm sq
Area of bigger rectangle = 4cm×10 cm = 40 cm sq
Area of traingle = 1/2 × 8*3 cm sq = 12 cm sq
total area of polygon = ( 28 + 40 + 12 ) cm sq
area of polygon = 80 cm sq
Hypnosis is a state of human consciousness involving a heightened sense of focus and concentration while blocking out sources of distraction. Researchers believe 80% of all people can be hypnotized. A random sample of 50 people showed that 42 of them were hypnotized successfully. Find the p-value and z-score to determine to show that 80% or more can be hypnotized.
a. p = 1.84, z = 0.71
b. p = 1.71, z =1.84
c. p = 0.71, z = 0.84
d. p = 0.76, z = 0.71
Anyone help ?? Sorry please
Answer:
All the points in the scatter plot are written as (x, y)
Where x is the value in the horizontal axis (in this case the weight)
and y is the value in the vertical axis (in this case, the number of seeds)
We want to know the weight of 100 seeds.
We know that the number of seeds is represented in the vertical axis.
Then, first let's look at the vertical axis and find the value 100.
Now let's move horizontally the right until we meet the point.
Once we meet the point, let's move vertically to the horizontal axis, and see in which value we intersect the axis.
If we do that, we can see that we will intersect the x-axis at the value x = 5.
And this axis represents the weight in kg, then the weight of 100 seeds is 5kg.
20/22 is the tangent value of which reference angle
Answer:
X
Step-by-step explanation:
Mathematically, the tangent of an angle is the ratio of the opposite side to the adjacent side
So, for 20/22; 20
is the opposite while 22 is the adjacent
The opposite side simply refers to the side that faces the given angle
We have the opposite side here as facing the angle X and that makes X the correct answer
A traffic consultant wants to estimate the true proportion of cars on a certain street that have more than two occupants. She stands at the side of the road for two hours on a weekday afternoon and flips a coin each time a car approaches. If the coin comes up heads, she counts the number of occupants in the car. After two hours, she has counted 103 cars, 15 of which had more than two occupants. Which condition for constructing a confidence interval for a proportion has she failed to satisfy
Answer:
The data is a simple random sample from the population of interest.
Step-by-step explanation:
Conditions necessary to consider when constructing a confidence interval include using a large sample size, which should be greater Than or equal to 30 for n and a sample proportion of np ≤ 10. Importantly the sample must be a random sample drawn from the population, meaning that all the population of interest must have equal chances of being a part of the sample data. However, the scenariomabiveb, violates this condition as the sampling design is not completely randomized. Those who do not ply the route on that certain day have no Chaves of being part of the sample.
Lana is putting lace trim around the
border of a circular tablecloth. The
tablecloth has a diameter of 1.2 meters.
To the nearest meter, what is the least
amount of lace she needs? Use 3.14 for T.
Answer:
[tex]1.2 \times 3.14[/tex]
Step-by-step explanation:
The ratio of a circumference to its diameter is equal to an irrational number, called pi, roughly equal to 3.14, denoted by symbol
[tex]\pi[/tex]
Therefore, knowing the diameter d, the circumference is equal to d*π
What’s the answer for this
the angle is 37 degrees
Answer:
36.87°
Step-by-step explanation:
tan x= opposite/adjacen
x=tan ^-1(300/400)
x=36.86989765
Find the measure of angle B
How do you find the h variable? 3ℎ+7=19
Answer:
h=4
Step-by-step explanation:
Subrtract 7, giving you 12.
Then divide by 3 to isolate h. Giving you 4.
i need help with my homework, and the question is:
what is the equation of line? write in the form y=mx+b
it passes through (2,-5) and its x-intercept is 4.
Answer:
When the line intercepts the x axis, this means that y will be 0.
therefore the 2 coordinates the line passes through are (2,-5) and (4,0)
given equation of line:
y=mx+b
where m = slope
b = y-intercept.
Let (2,-5) and (4,0) be (x1,y1) and (x2,y2) correspondingly.
slope of line = y1-y2 / x1 - x2
[tex] = \frac{ - 5 - 0}{2 - 4} \\ = \frac{ - 5}{ - 2} \\ = \frac{5}{2} [/tex]
Now substitute x = 4, y = 0 and m = 5/2 into equation of line to find b.
[tex]0 = ( \frac{5}{2} )(4) + b \\ 10 + b = 0 \\ b = 0 - 10 \\ = - 10[/tex]
therefore equation of line will be:
[tex]y = \frac{5}{2} x - 10[/tex]
Jeffery is making a wall design with tape. How much tape does he need to put the design shown on his wall? Explain how you used the information in the diagram to find your answer
Answer:
I can't see the diagram could you attach it
Step-by-step explanation:
Find the equation of the line of best fit shown below.
Answer:
it’s a
Step-by-step explanation:
just do rise over run count how many it is going up from your y intercept to a point on the graph then count to the right from your y intercept to get your answer.
Tim and Jenna are surveying their classmates about their summer reading. Their questions are given below: Tim: Which author was promoted by the book reading club this month? Jenna: How many books that you read during the summer break would you recommend to your friends? Who wrote a statistical question and why? (1 point)
A. Tim, because there can be only one answer to the question
B. Jenna, because there can be many answers to the question
C. Tim, because there will be variability in the responses collected
D. Jenna, because every student will give the same answer
Answer:
b
Step-by-step explanation:
Answer:
The answer is B
Step-by-step explanation:
A random sample of adults was surveyed about whether they shop online. Of the 90 adults surveyed, 72 stated they shop online. What is the 99% confidence interval for p, the proportion of adults who shop online?
Find the z-table here.
(0.72, 0.88)
(0.70, 0.90)
(0.69, 0.91)
(0.68, 0.92)
Answer:
(0.69, 0.91)
Step-by-step explanation:
Hope this helps!
The 99% confidence interval for p is (0.698, 0.902), which is closest to option (B) (0.70, 0.90).
What is a confidence interval?A confidence interval is a range of values that are constrained by the statistic's mean and that are likely to include an unidentified population parameter. The proportion of likelihood, or certainty, that the confidence interval would include the real population parameter when a random sample is drawn several times is referred to as the confidence level.
To find the 99% confidence interval for the proportion of adults who shop online, we need to use the formula:
CI = p ± z√((p(1-p))/n)
where p is the sample proportion (72/90 = 0.8), n is the sample size (90), and z is the z-score corresponding to the 99% confidence level (from the z-table, this is 2.576).
Substituting the values, we get:
CI = 0.8 ± 2.576√((0.8(1-0.8))/90)
Simplifying, we get:
CI = 0.8 ± 0.102
Therefore, the 99% confidence interval for p is (0.698, 0.902).
To learn more about the confidence interval;
https://brainly.com/question/24131141
#SPJ7
simplify
25x-16y-25x+16y
Answer:
Step-by-step explanation:
25x-16y-25x+16y
-16y and 16y cancels out
25x-25x
25x and -25x cancels out too
This means the answer is 0
The curved part of this figure is a semicircle.
What is the best approximation for the area of this figure?
10.5+7.25π units²
21+7.25π units²
10.5+14.5π units²
21+14.5π units²
Answer:
Step-by-step explanation:
Draw the diameter from point (-1, -5) to point (2, 3).
The triangle has base 3 and height 8.
The diameter of the semicircle is the hypotenuse of the triangle.
The radius is half the diameter.
The total area is the area of the triangle plus the area of the semicircle.
Answer:
A) 10.5+7.25[tex]\pi[/tex]units²
Step-by-step explanation:
This can be divided into a semicircle and a right triangle.
The area of the right triangle is (1/2)(7)(3)= 10.5
the radius of the semicircle is
[tex]d=\sqrt{7^{2} +3^{2} } )=\sqrt{(49+9)} =\sqrt{58}[/tex]
[tex]r=(1/2)(\sqrt{58}[/tex]
[tex]A=(1/2\pi (1/2)(\sqrt{58)^{2} }[/tex]
[tex]A=58\pi /8[/tex]
[tex]A=7.25\pi[/tex]
[tex]---------[/tex]
hope it helps..
have a great day!!
please help 100 points to whoever gets it right
Answer:
i think its D
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Jayla, Keisha and Melanie are sisters. Keisha is 3 years older than Jayla. Melanie is 3 years older than Keisha. If you add their ages together, you get 42.
1. Write an equation or draw a picture to represent this scenario.
2. How old are the sisters? How do you know?