Answer:
1 2/8 gallons are left
Step-by-step explanation:
5 7/8 - 4 5/8= 1 2/8
Evaluate the expression: 20 - 2^4
Answer:
4
Step-by-step explanation:
1) Simplify 2⁴ to 16.
[tex]20 - 16[/tex]
2) Simplify.
[tex]4[/tex]
Therefor, the answer is 4.
Answer:
20 - 2^4 =4
Step-by-step explanation:
What is the measure of arc PSR? *
75 degrees
260 degrees
65
100
Answer:
it most likely would be 260 degrees
A square has vertices at the points A(-4,-4), B(-5,-4), C(-5,-3), and D(-4,-3). What is the area of this square? A. 1 square unit B. 4 square units C. 9 square units D. 2 square units
Answer:
Step-by-step explanation:
The length of AB = 1 unit.
area of square = 1² unit² = 1 square unit.
Answer:it is 1
Step-by-step explanation:
16 and 3/5 - 4 and 4/5 equals
Answer:
59/5
Step-by-step explanation:
16 and 3/5 = 83/5
4 and 4/5 = 24/5
83/5 - 24/5 = 59/5
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer: 23
Step-by-step explanation:
x = 90 - 67
x = 23
Add: look at the picture
Answer:
5 3/4
Step-by-step explanation:
the 3/4 is a fraction
Have a nice day:)
Answer:
5 3/4
Step-by-step explanation:
2 + 2/3 + 3 + 1/12
2+3= 5
2/3 + 1/12 <<-- Find the LCD
8/12 + 1/12 = 9/12 <-- Reduce the fraction
9/12 = 3/4
5 + 3/4 = 5 3/4
Paz has $18 in her wallet. This is 3 times the money in her pocket. Write and solve an equation to find how much money Paz has in her pocket.
3x=18
x= 6
6 dollars in pocket
Answer:
32+s=55
Step-by-step explanation:
Sarah is saving money to buy a jacket that costs $47. She has already saved $25. Write an equation to find out how much more money Sarah needs to save, using x, to represent how much more she needs to save.
Individual bottles of water are filled by a machine at a factory with an amount of water that is approximately normal with a mean of 505\,\text{mL}505mL505, start text, m, L, end text and a standard deviation of 10\,\text{mL}10mL10, start text, m, L, end text. A random sample of 161616 bottles is selected for a quality inspection. What is the probability that the mean amount of water in these 161616 bottles \bar x x ˉ x, with, \bar, on top is within 5\,\text{mL}5mL5, start text, m, L, end text of the population mean?
Answer:
P(500< xˉ <510)≈0.95
Step-by-step explanation:
Khan Academy
5x^2-4x=6 help!!! Thank you in advance !
Answer:
x = 2 ± √34/5
Step-by-step explanation:
Move terms to the left side.
5x^2 - 4x = 6
5x^2 - 4x -6 = 0
Identify a, b, and c before plugging them into the quadratic formula.
a = 5
b = -4
c = -6
x = -(-4) ± √(-4)^2 - 4 * 5(-6)/2 * 5
Then simplify.
Find the area of a circle that has a circumference of 12π in.
Answer:
a = 1.91
Step-by-step explanation:
12 = 2π(r)
12/2 = 2π(r)/2
dividing by 2
=
6 = π(r)
you then divide this by π, or 3.14
6/3.14 = π(r)/3.14
=
1.91
2x3/12 as a fraction
Answer:
1/2
Step-by-step explanation:
2*3=6
6/12=1/2
Answer:
[tex]\frac{1}{2}[/tex]--> 1/2
Step-by-step explanation:
3x2=6. half of 12 is 6 and so you would make it 6/12 or aka 1/2
Valeria and Christina both want to run for class president. In order to appear on the ballot,
they must collect a certain number of signatures. So far, Valeria has 26 signatures and
Christina has 53. Now, Valeria is collecting signatures at a rate of 6 per day, whereas
Christina is collecting 3 signatures per day.
Assuming that their rates stay the same, the two will eventually collect the same number of
signatures. How many signatures will they both have at that time? How many days will it
take?
Answer:
10 days
Step-by-step explanation:
Please help and show work
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer. y2=x,x=2yy 2 =x,x=2y; about the y-axis
Answer:
Step-by-step explanation:
From the first image attached below, we will see the sketch of the curve x = y² & x = 2y
In the picture connected underneath, the concealed locale(shaded region) is bounded by the given curves. Now, we discover the marks of the crossing point of the curves. These curves will cross, when:
[tex]y^2 =2 y \\ \\ or y^2 -2y = 0 \\ \\ y(y-2) = 0 \\ \\ y = 0 \ \ or \ \ y = 2[/tex]
Thus, the shaded region fall within the interval 0 ≤ y ≤ 2
Now, from the subsequent picture appended we sketch the solid acquired by turning the concealed region about the y-axis.
For the cross-sectional area of the washer:
[tex]A (y) = \pi (outer \ radius)^2 - \pi ( inner \ radius )^2 \\ \\ A(y) = \pi (2y^)2- \pi (y^)^2 \\ \\ A(y) = 4 \pi y^2 - \pi y^4 \\ \\ A(y) = \pi( 4 y^2 -y^4)[/tex]
Finally, the volume of (solid) is:
[tex]V = \int^2_0 A(y) \ dy \\ \\ V = \int^2_0 \pi (4y^2 -y^4) \ dy \\ \\ V = \pi \int^2_0 (4y^2 -y^4) \ dy \\ \\ V = \pi \Big[\dfrac{4}{3}y^3 - \dfrac{y^5}{5} \big ] ^2_0 \\ \\ V = \pi \Big [ \dfrac{4}{3}(2)^3-\dfrac{2^3}{5} \Big ] \\ \\ V = \dfrac{64}{15}\pi \\ \\ V = (4.27 ) \pi[/tex]
Pls answer this for me
Answer:
A) 216in squared
Step-by-step explanation:
6 / 2 = 3
4 * 3 = 12
12 * 2 = 24
5 * 12 = 60
60 * 2 = 120
6 * 12 = 72
24 + 72 + 120 = 216in^2
Hope this helped! Have a nice day! Plz mark as brainliest!!! :D
-XxDeathshotxX
At Store A, a 60-ounce bag of shelled walnuts costs $11.99. At Store B, a 4-pound bag of shelled walnuts costs $11.99. Shelled walnuts are a better deal at
Store A or Store B
Answer:
Store B
Step-by-step explanation:
DE is a midsegment of AABC. Find the value of x.
X
E
B
39
O A. 39
O B. 15
O C. 19.5
O D. 13
Write a cosine function that has a midline of 2, an amplitude of 4 and a period of
8/3
Answer: f(x) = 4*cos(pi*(6/8)*x) + 2
Step-by-step explanation:
A generic cosine function is written as:
f(x) = A*cos(w*x + p) + M
where:
A = amplitude
w = angular frequency
p = phase
M = midline.
We know that:
the midline is 2, then M = 2
the amplitude is 4, then A = 4
There is no information about the phase, so p = 0.
And we know that the period is 8/3.
The period is written as T, and the relation between the period and the angular frequency is:
T = 2*pi/w
Then we have:
8/3 = 2*pi/w
w = (2*pi)*(3/8) = pi*(6/8)
where pi = 3.14
Then we have:
w = pi*(6/8)
A = 4
M = 2
p = 0
Then the cosine function is:
f(x) = 4*cos(pi*(6/8)*x) + 2.
The school newspaper surveyed 100 commuter students and asked two questions. First, students were asked how many courses they were currently enrolled in. Second, the commuter students were asked to estimate how long it took them to drive to campus. Considering these two variables, number of courses would best be considered a _________ variable and drive time would be considered a _________ variable.
Answer:
Number of courses would best be considered a discrete variable and drive time would be considered a continuous variable.
Step-by-step explanation:
Discrete variable:
Countable amounts(0, 1, 2, 3,...)
Continuous variables:
Can be decimal values.
In this question:
The number of courses is a countable amount(0,1,2,3,...), you cant take half a course, for example, so it is discrete. Otherwise, drive time accepts half minutes, for example, 10.5 minutes, so is continuous.
Number of courses would best be considered a discrete variable and drive time would be considered a continuous variable.
Answer and explain please ill mark brainliest!!!!!!!!
Answer:
Yes, Elias got his food before reaching the potluck.
Step-by-step explanation:
Elias left home at 7:00 one morning, determined to make the ten-mile trip to Leaders on a bicycle. Soon thereafter, Elias' parent noticed he had forgotten his potluck dish on the kitchen table, got into the family car, and tried to catch up with the forgetful child. Elias had a fifteen-minute head start, and was pedaling at 12 mph, while the parent pursued at 30 mph. Was Elias reunited with his potluck food before reaching Leaders that day? If so, where? If not, at what time was the food delivered?
Let's set x as the time after the parent leaves as x (time after the first 15-minute headstart)
When the two meet, it means that the distance is equal. Remember, distance = time * speed.
Using this, we know that Elias had a 15-minute headstart at 12 mph, which means that he had 0.25 of an hour. Thus, Elias had a 0.25 * 12 mile headstart.
We can write this equation for the distance Elias traveled.
0.25 * 12 + 12 * x
And this equation for the distance his parent traveled.
30 * x
These equations need to be equal so that the two meet.
0.25 * 12 + 12 * x = 30 * x
Simplify.
3 + 12x = 30x
Subtract 12x from both sides.
3 = 18x
Divide both sides by 18.
x = 1/6
So, it took 1/6 of an hour, which is 10 minutes, for the parent and Elias to meet.
If Elias were to get the food before he reached the potluck, the distance he traveled (0.25 * 12 + 12 * x) needs to be less than 12.
Plug 1/6 in for x.
0.25 * 12 + 12 * 1/6 =
3 + 2 = 5
Elias traveled 5 miles before his parent met him.
So, Elias did get his food before reaching Leaders.
Just in case, let's double-check this answer.
Using the distance = speed * time formula, we know that time = distance/speed. Elias's parent had to travel 5 miles at 30 mph, so it would have taken 1/6 of an hour to drive 5 miles.
Elias traveled at 12 mph for 1/6 + 1/4 of an hour, so he traveled:
(1/6 + 1/4) * 12 =
(4/24 + 6/24) * 12 =
10/24 * 12 =
120/24 = 5 miles
Thus, the previous answer is right.
I hope this helps! Feel free to ask any questions!
A pair of athletic shoes costs 90$. If the inflation rate remains constant at 4%, write an algebraic rule to determine the cost, c(t), of the shoes after t years. c(t) =
REALLY NEED THIS ANSWER
Answer:
c(t)=90+90×0,04t
c(t)=3,6t + 90
According to the figure, which statement is correct?
A . AB and DC appear to be parallel.
B. AB and DC appear to be perpendicular.
C. BF and DC appear to be perpendicular.
D. AB and EF appear to be parallel.
Answer:
c
BF and DC appear to be perpendicular.
Answer: C
Step-by-step explanation:
BF and DC appear to be perpendicular. Perpendicular means meets at 90 degrees (a right angle)
what is 1235X76678 what is it
Answer:
94697330
Ur welcome
Step-by-step explanation:
Answer:
94,697,330
Explanation:
[tex]1235 x 76678 = 94697330[/tex]
MADD (Mother's Against Drunk Drivers) wishes to estimate the proportion of adult drivers that have run at least one red light in the last month. A poll is conducted on a simple random sample of adult drivers and it is found that out of 1251 adult drivers, 641 of them have run at least one red light in the last month. You will be finding a 90% confidence interval for the fraction of adult drivers that run at least one red light in the last month.
Check that the normality assumptions are met?
Interpret the confidence interval obtained.
Answer:
Normality assumptions are met.
The 90% confidence interval for the proportion of adult drivers that run at least one red light in the last month is (0.4892, 0.5356). The interpretation is that we are 90% sure that the true proportion of all adult drivers than ran at least one red light in the last month is between these bounds.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Out of 1251 adult drivers, 641 of them have run at least one red light in the last month.
This means that [tex]n = 1251, \pi = \frac{641}{1251} = 0.5124[/tex]
Normality assumptions:
We need that: [tex]n\pi[/tex] and [tex]n(1-\pi)[/tex] are 10 or greater. So
[tex]n\pi = 1251*0.5124 = 641[/tex]
[tex]n(1-\pi) = 1251*0.4876 = 610[/tex]
So the normality assumptions are met.
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5124 - 1.645\sqrt{\frac{0.5124*0.4876}{1251}} = 0.4892[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5124 + 1.645\sqrt{\frac{0.5124*0.4876}{1251}} = 0.5356[/tex]
The 90% confidence interval for the proportion of adult drivers that run at least one red light in the last month is (0.4892, 0.5356). The interpretation is that we are 90% sure that the true proportion of all adult drivers than ran at least one red light in the last month is between these bounds.
At what rate per annum compound
interest will N4000 amount to N5353
in 5 years?
Answer: Just look it up on goo gle
Step-by-step explanation:
The rate per annum compound interest is approximately 11.5%.
To find the rate per annum compound interest, we can use the formula for compound interest:
[tex]A = P(1 + r/n)^{nt}[/tex]
Where:
A = the final amount (N5353 in this case)
P = the principal amount (N4000 in this case)
r = the annual interest rate (what we want to find)
n = the number of times interest is compounded per year (assuming once per year)
t = the number of years (5 years in this case)
Now, we can plug in the values:
[tex]N5353 = N4000(1 + r/1)^{1*5}[/tex]
Divide both sides by N4000:
[tex]1.33825 = (1 + r)^5[/tex]
Now, isolate (1 + r) by taking the fifth root of both sides:
[tex]1 + r = (1.33825)^{1/3}\\1 + r \approx 1.115[/tex]
Now, subtract 1 from both sides to find the interest rate (r):
r ≈ 1.115 - 1
r ≈ 0.115
Finally, convert the interest rate to a percentage:
r ≈ 0.115 * 100
r ≈ 11.5%
To know more about rate:
https://brainly.com/question/32398403
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3
Solve for x. Round answer to the nearest tenth.
X
759
17
Answer:
x ≈ 4.6
Step-by-step explanation:
Reference angle = 75°
Opposite side to reference angle = 17
Adjacent side = x
Applying TOA:
Tan 75 = opp/adj
Tan 75 = 17/x
Multiply both sides by x
x*Tan 75 = 17
Divide both sides by Tan 75
x = 17/Tan 75
x ≈ 4.6
Write an exponential equation with (1, 8) and (2,32)
Answer:
y=2(4^x)
Step-by-step explanation:
exponential equation in form y=ab^x
sub both point and solve
8=a(b^1)=ab...(1)
32=a(b^2)....(2)
equation (2)/(1):
32/8=b
b=4
a=2
Data represented by quantities is called data.
Find the perimeter of this semi-circle with diameter, d = 45cm. Give your answer rounded to 1 DP.
Answer:
P = 70.6 cm
Step-by-step explanation:
Given that,
The diameter of the semicircle, d = 45 cm
Radius, r = 22.5 cm
We need to find the perimeter of the semicircle. The formula for the perimeter of a semicircle is given by :
[tex]P=\pi r\\\\P=\pi \times 22.5\\\\P=70.6\ cm[/tex]
So, the required perimeter is 70.6 cm.
What is the answer to the angle BD?
straight angle. this is easyyy