A tank is draining at a constant rate of 5 gallons of water in 4 hours how many gallons will drain in 15 hours.
A scale model of the Washington Monument is 15 inches tall and the base is 1.5
inches wide. If the actual monument is approximately 555 feet tall, which is
closest to the width, in feet, of the base?
50
55
835
0 370
Answer:
~55 ft
Step-by-step explanation:
15/1.5 = 555(12)=12x
180x = 9990
x = 55.5
cuantas horas son de 7am a 7pm
Express $112 for 14 hours as a unit rate.
A. O $11/hr
B. O $112/week
C. O $8/hr
D. O $9/hr
Answer:
52
Step-by-step explanation:
hmm
Answer: C. O $8/hr
Step-by-step explanation:
To solve this, we divide 112 by 14.The answer is 8.
Carrie is seven years older than dan in three years the sum of their ages will be 83 find the age of each man now.
Cary is ___years old while dan is ____ years old.
Does anyone know this please
Help meeeeeeeee please!!!!
Answer:
C
Step-by-step explanation:
Please any help i need it now please
i will mark you brill
Answer:
(x+2.25) ×24
This is how it is written
Answer:
Step-by-step explanation:
y = 24*(x + 2.25)
There, that's an algebraic expression for 24 times the sum of a number and 2.25.
pls help me with this math question i beg
Answer:
All angles in a quadrilateral = 360°
b =?
b = 360 - (128 + 61 + 57)
b = 360 - 246
b = 114°
Simplify: (8 2/3) ^ 4
Answer:
the answer is 558175
may it help you
40 of the cats at the pet store are black, which is 25% of all cats. How many cats are there at the pet store
Answer:
There are 160 cats at the store.
Step-by-step explanation:
There are 40 black cats, which is 25% of all the cats. You are trying to find all the cats at the store, or 100% of the cats at the store. So:
40 = 25%
40(4) = 25% (4)
160 = 100%
There are 160 cats at the store.
Answer:
160
Step-by-step explanation:
25%=1/4=0.25
=40×4
=160
Employees at the ACME paper bag corporation have two fast food restaurant chains located next to the corporate parking lot: Carl's Jr. and Wendy's. Due to time restrictions the ACME employees eat their lunches either at Carl's Jr. or Wendy's and nowhere else. If today an employee eats lunch at Wendy's, then tomorrow the probability they'll eat lunch at Wendy's is 10% otherwise they'll eat lunch at Carl's Jr. If today an employee eats lunch at Carl's Jr., then tomorrow the probability they'll eat lunch at Carl's Jr. is 40% otherwise they'll eat lunch at Wendy's. If on Monday an employee eats lunch at Carl's Jr. what is the probability they'll eat lunch at Carl's Jr. Wednesday?
Answer:
0.7 = 70% probability they'll eat lunch at Carl's Jr. Wednesday.
Step-by-step explanation:
We have that:
Carl's Jr on Monday.
On Tuesday:
40% probability of Carl's Junior.
100 - 40 = 60% probability of Wendy's.
On Wednesday:
If on Tuesday it was on Carl's Junior, 40% probability of Carl's Junior on Wednesday.
In on Tuesday it was on Wendy's, 100 - 10 = 90% probability of Carl's Junior on Wednesday.
What is the probability they'll eat lunch at Carl's Jr. Wednesday?
[tex]p = 0.4*0.4 + 0.6*0.9 = 0.7[/tex]
0.7 = 70% probability they'll eat lunch at Carl's Jr. Wednesday.
!MAGOR HELP!
Question and answers are in the pic
2 -7
-9
5
Given A=
and B-
6
1
-1
If X-A=B, what is X?
-2
O
7
0
-11
12
-2
-5
-7 -12
5
0
11-12
Answer:
it is b furqufhrfhquh quf hqhf
Step-by-step explanation:bfygefy eyfeyfyewfyefwef eqf
\fn qf7f
The value of the matrix X is X = [tex]\left[\begin{array}{ccc}-7&-2\\7&0\\\end{array}\right][/tex].
What are Matrices?Matrices are a set of numbers arranged in such a way that the numbers are arranged in rows and columns.
Each number is called element in a matrix.
Given are two matrices.
A = [tex]\left[\begin{array}{ccc}2&-7\\6&1\\\end{array}\right][/tex] and B = [tex]\left[\begin{array}{ccc}-9&5\\1&-1\\\end{array}\right][/tex]
We have given that, a matrix X exists such that,
X - A = B
We can rearrange this as,
X = A + B
Adding the two matrices,
The entries will be,
2 - 9 = -7
-7 + 5 = -2
6 + 1 = 7
1 - 1 = 0
X = [tex]\left[\begin{array}{ccc}-7&-2\\7&0\\\end{array}\right][/tex]
Hence the X is option A.
Learn more about Matrices here :
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A person places $277 in an investment account earning an annual rate of 6.7%,
compounded continuously. Using the formula V = Pem, where V is the value of the
account in t years, P is the principal initially invested, e is the base of a natural
logarithm, and r is the rate of interest, determine the amount of money, to the
nearest cent, in the account after 10 years.
9514 1404 393
Answer:
$541.32
Step-by-step explanation:
Putting the given values into the given formula, you have ...
V = P·e^(rt)
V = $277e^(0.067·10) ≈ $541.32
For what value of k are the graphs of y = 3x + 4 and 2y = kx + 9 parallel?
How much would you need to deposit in an account now in order to have $2000 in the account in 15
years? Assume the account earns 2% interest compounded monthly.
4000 mcmcnxmamnxmxmnxnxns
find the value of x and y in the following figure where ABCD is a parallelogram
Answer:
x = 3
y = 2
Step-by-step explanation:
Diagonals of a parallelogram bisect each other into two equal segments. Therefore:
3x - 1 = 2(x + 1)
Solve for x
3x - 1 = 2x + 2
Collect like terms
3x - 2x = 1 + 2
x = 3
Also:
5y + 1 = 6y - 1
Collect like terms
5y - 6y = -1 - 1
-y = -2
Divide both sides by -1
y = -2/-1
y = 2
What is the volume of a sphere that has a radius that measures 3 feet?
Answer:
About V≈113.1ft³
Step-by-step explanation:
Plz help ASAP 20 points What is m
A.39°
B. 51°
C.70.5°
D.78°
Answer: 51
Step-by-step explanation: QTR is the inscribed angle, so QTR = 1/2 * QSR, so QSR = 78. QSR is an isosceles triangle, since it uses the radius of the circle twice, so QRS = (180 - 78)/2 = 51
Solve for X:
3+X=9
16X= 32
54 - X + 2 = 78
Division:
9/3=
5⟌225
55 X 102 =
Answer: 1. 6
2. 2
3. -22
4. 3
5. 45
6. 5,610
Step-by-step explanation: #1: ok so for #1 we have to make this a subtraction problem by making the 9 as the first number and the 3 as the second but putting a minus symbol between them so we have to subtract 9 by 3 so 9-3=6 so 3+6=9 or X=6.
#2: ok so for #2 we have another inverse expression so instead of multiplication so we have to use division and make 32 the first number and 16 the second number and put a division symbol in between them so we have to divide 32 by 16 so 32 divided by 16=2 so 16(2)=32 also, the x next to 16 means multiplication so we have to put parentheses so we know its multiplication.
#3: this one is VERY confusing but what we have to do is add the 2 to 54 so 2+54=56 next we have to rearrange the numbers and had a negative symbol before the x and make 56 go to the second number and make the minus symbol a plus symbol so we made the expression -x+56=78 now we have to subtract 56 from both sides and so the expression is now -x+56-56=78-56 and now we subtract the numbers so now the expression is -x=78-56 and do it again so 78-56=22 so -x=22 and now we have to divide both sides of the expression so we have to make -x=22 -x/-1=22/-1 now we have to remove the symbols of the right side so the expression is now x=22/-1 and divide 22 by -1 so 22 divided by -1 is -22 so X=-22 or 54-(-22)+2=78.
#4: now for #4 we have to divide 9 by 3 so 9 divided by 3=3 or we can use multiplication by making 9 the answer and 3 the first number and solve so 3x(X)=9 so 3x3=9 so the answer is 9.
#5: now we have to divide 225 by 5 so we have to divide 22 by 5 and put our 4 on top op the 2 in the 10's column and multiply 4 by 5 which is 20 the subtract 22 by 20 so 22-20=2 and bring down the 5 making 25 and multiply 5 by 5 so 5x5=25 so now we have to subtract 25 by 25 which is 0 so the answer is 45.
#6: for this we have to multiply 55 by 102 so 55 times 102 is 5,610
Please help me I guve brainliest
Answer:
The base of the triangle is 32.5in.
The height of the triangle is 16.5in.
Step-by-step explanation:
I hope im right! Sorry if im wrong! Have a good day!
Kia donated a $20 bill plus 1 of
the balance in her short-term savings
account to a medical fundraiser. If Kia
donated a total of $100, how much was
in her short-term savings account?
$100 - $20 = $80
Understand?
I need help, I can’t seem to be o figure this out
Answer:
I'm pretty sure this is obtuse because when you add all sides it gives you 135 and it has a 90-degree angle so if it's greater than 90 it's 100% obtuse.
Step-by-step explanation:
Is the expression 6(1 + m) equal to 6 + 6m? Why or why not? How do you know?
Answer:
Yes, they are equal because of distributive property
Step-by-step explanation:
6(1 + m) = 6 + 6m
WILL IVE BRAINLEIST FOR FIRST AWNSER For Emma's birthday party, her dad bought a piñata to fill with small toys. The table shows the relationship between the weight of toys he adds, w, and the total weight of the piñata, p.
Weight of toys added, in pounds (w) 1 2 3 4
Total weight of piñata, in pounds (p) 4 5 6 7
Which of the variables is independent and which is dependent?
Complete the sentence.
The dependent variable is always
the independent variable.
The dependent is the one your mesuaring and that is the Total Weight. Independent is the one you change (I remember it as the is a I in independent which 'I' change) and that would be the toy weight
A 10-foot ladder is leaning against a vertical wall. If the bottom of the ladder is being pulled away from the wall at the rate of 9 feet per second, at what rate is the area of the triangle formed by the wall, the ground, and the ladder changing, in square feet per second, at the instant the bottom of the ladder is 6 feet from the wall
Answer:
The area is changing at 15.75 square feet per second.
Step-by-step explanation:
The triangle between the wall, the ground, and the ladder has the following dimensions:
H: is the length of the ladder (hypotenuse) = 10 ft
B: is the distance between the wall and the ladder (base) = 6 ft
L: the length of the wall (height of the triangle) =?
dB/dt = is the variation of the base of the triangle = 9 ft/s
First, we need to find the other side of the triangle:
[tex]H^{2} = B^{2} + L^{2}[/tex]
[tex] L = \sqrt{H^{2} - B^{2}} = \sqrt{(10)^{2} - B^{2}} = \sqrt{100 - B^{2}} [/tex]
Now, the area (A) of the triangle is:
[tex] A = \frac{BL}{2} [/tex]
Hence, the rate of change of the area is given by:
[tex] \frac{dA}{dt} = \frac{1}{2}[L*\frac{dB}{dt} + B\frac{dL}{dt}] [/tex]
[tex] \frac{dA}{dt} = \frac{1}{2}[\sqrt{100 - B^{2}}*\frac{dB}{dt} + B\frac{d(\sqrt{100 - B^{2}})}{dt}] [/tex]
[tex]\frac{dA}{dt} = \frac{1}{2}[\sqrt{100 - B^{2}}*\frac{dB}{dt} - \frac{B^{2}}{(\sqrt{100 - B^{2}})}*\frac{dB}{dt}][/tex]
[tex]\frac{dA}{dt} = \frac{1}{2}[\sqrt{100 - 6^{2}}*9 - \frac{6^{2}}{\sqrt{100 - 6^{2}}}*9][/tex]
[tex]\frac{dA}{dt} = 15.75 ft^{2}/s[/tex]
Therefore, the area is changing at 15.75 square feet per second.
I hope it helps you!
The rate of change (ROC) of the area with respect to (w.r.t.) time can be
found from the ROC of the area w.r.t. x and the ROC of x w.r.t. time.
At the time the ladder is 6 feet from the wall, the area is increasing at 15.75 ft.²/sec.Reasons:
The length pf the ladder = 10 feet
Rate at which the ladder is pulled from the wall, [tex]\displaystyle \frac{dx}{dt}[/tex] = 9 feet per second
Required:
The rate at which the area of the triangle formed by the ladder, the wall
and the ground, is changing at the instant the ladder is 6 feet from the wall.
Solution:
The area the triangle, A = 0.5·x·y
Where;
x = The distance of the ladder from the wall
y = The height of the ladder on the wall
By Pythagoras's theorem, we have;
10² = x² + y²
Which gives;
y = √(10² - x²)
Therefore;
The area the triangle, A = 0.5 × x × √(10² - x²)
By chain rule, we have;
[tex]\displaystyle \frac{dA}{dt} = \mathbf{\frac{dA}{dx} \times \frac{dx}{dt}}[/tex]
[tex]\displaystyle \frac{dA}{dx} = \frac{d\left(0.5 \cdot x \cdot \sqrt{10^2 - x^2} }{dx} = \mathbf{\frac{\left(x^2 - 50\right) \cdot \sqrt{100-x^2} }{x^2-100}}[/tex]
[tex]\displaystyle \frac{dA}{dx} = \frac{\left(x^2 - 50\right) \cdot \sqrt{100-x^2} }{x^2-100}[/tex]
Therefore;
[tex]\displaystyle \frac{dA}{dt} = \mathbf{\frac{\left(x^2 - 50\right) \cdot \sqrt{100-x^2} }{x^2-100} \times 9}[/tex]
When the ladder is 6 feet from the wall, we have;
x = 6
[tex]\displaystyle \frac{dA}{dt} = \frac{\left(6^2 - 50\right) \cdot \sqrt{100-6^2} }{6^2-100} \times 9 = \mathbf{15.75}[/tex]
At the time the ladder is 6 feet from the wall, the area is increasing at 15.75 ft.²/sec.
Learn more about chain rule of differentiation here:
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Two competing headache remedies claim to give fast-acting relief. An experiment was performed to compare the mean lengths of time required for bodily absorption of brand A and brand B headache remedies. Twelve people were randomly selected and given an oral dose of brand A and another 12 people were randomly selected and given an oral dose of brand B. The lengths of time in minutes for the drugs to reach a specified level in the blood were recorded. The mean and standard deviation for brand A was 21.8 and 8.7 minutes, respectively. The mean and standard deviation for brand B was 18.9 and 7.5 minutes, respectively. Past experience with the drug composition of the two remedies permits researchers to assume that both distributions are approximately Normal. Let us use a 5% level of significance to test the claim that there is no difference in the mean time required for bodily absorption.
Required:
Find or estimate the p — value of the sample test statistic.
Answer:
[tex]t = 0.875[/tex]
Step-by-step explanation:
Given
Brand A Brand B
[tex]n_ 1= 12[/tex] [tex]n_2 = 12[/tex]
[tex]\bar x_1 = 21.8[/tex] [tex]\bar x_2 = 18.9[/tex]
[tex]\sigma_1 = 8.7[/tex] [tex]\sigma_2 = 7.5[/tex]
Required
Determine the test statistic (t)
This is calculated as:
[tex]t = \frac{\bar x_1 - \bar x_2}{s\sqrt{\frac{1}{n_1} + \frac{1}{n_2}}}[/tex]
Calculate s using:
[tex]s = \sqrt{\frac{(n_1-1)*\sigma_1^2+(n_2-1)*\sigma_2^2}{n_1+n_2-2}}[/tex]
The equation becomes:
[tex]s = \sqrt{\frac{(12-1)*8.7^2+(12-1)*7.5^2}{12+12-2}}[/tex]
[tex]s = \sqrt{\frac{1451.34}{22}}[/tex]
[tex]s = \sqrt{65.97}[/tex]
[tex]s = 8.12[/tex]
So:
[tex]t = \frac{\bar x_1 - \bar x_2}{s\sqrt{\frac{1}{n_1} + \frac{1}{n_2}}}[/tex]
[tex]t = \frac{21.8 - 18.9}{8.12 * \sqrt{\frac{1}{12} + \frac{1}{12}}}[/tex]
[tex]t = \frac{21.8 - 18.9}{8.12 * \sqrt{\frac{1}{6}}}[/tex]
[tex]t = \frac{21.8 - 18.9}{8.12 * 0.408}}[/tex]
[tex]t = \frac{2.9}{3.31296}}[/tex]
[tex]t = 0.875[/tex]
Hassan sells fruits and vegetables at the marketThe mass of fruit and vegetables are in the ratio.
Fruit: vegetables = 5:7
If Hassan sells 1.33 tones of vegetables
then how many kilograms of fruits did he sell?
Answer:
950 kilograms
Step-by-step explanation:
Fruit: vegetables = 5:7
Fruit = 5
Vegetable = 7
Total ratio = 5 + 7 = 12
If Hassan sells 1.33 tones of vegetables
1 tonne = 1000 kilograms
1.33 tonnes of vegetables = 1330 Kilograms of vegetables
how many kilograms of fruits did he sell?
Let kilograms of fruits sold = x
Fruit: vegetables = 5:7
Fruit: vegetables = x : 1330
5 : 7 = x : 1330
5/7 = x/1330
Cross product
5 * 1330 = 7 * x
6,650 = 7x
x = 6,650/7
x = 950 kilograms
kilograms of fruits sold = 950 kilograms
Researchers are studying the distribution of subscribers to a certain streaming service in different populations. From a random sample of 200 people in City C, 34 were found to subscribe to the streaming service. From a random sample of 200 people in City K, 54 were found to subscribe to the streaming service. Assuming all conditions for inference are met, which of the following is a 90 percent confidence interval for the difference in population proportions (City C minus City K) who subscribe to the streaming service?
A. (0.17 – 0.27) + 1.65, 0.27 0.17 V 200
B. (0.17 – 0.27) 1.96 V (0.17)(0.83)+(0.27)(0.73) 400
C. (0.17 – 0.27) + 1.657 (0.17)(0.83)+(0.27)(0.73) 400
D. (0.17 – 0.27) + 1.96V (0.17)(0.83)+(0.27)(0.73) 200
E. (0.17 – 0.27) + 1.657 (0.17)(0.83)+0.27)(0.73) 200
Answer:
[tex]CI = (0.17 - 0.27)\± 1.65\sqrt{\frac{(0.17)*(0.83) + (0.27)*(0.73)}{200}}[/tex]
Step-by-step explanation:
Given
[tex]n = 200[/tex]
[tex]x_1 = 34[/tex] -- City C
[tex]x_2 = 54[/tex] --- City K
Required
Determine the 90% confidence interval
This is calculated using:
[tex]CI = \bar x \± z\frac{\sigma}{\sqrt n}[/tex]
Calculating [tex]\bar x[/tex]
[tex]\bar x = \bar x_1 - \bar x_2[/tex]
[tex]\bar x = \frac{x_1}{n} - \frac{x_2}{n}[/tex]
[tex]\bar x = \frac{34}{200} - \frac{54}{200}[/tex]
[tex]\bar x = 0.17 - 0.27[/tex]
For a 90% confidence level, the z-score is 1.65. So:
[tex]z = 1.65[/tex]
Calculating the standard deviation [tex]\sigma[/tex]
[tex]\sigma = \sqrt{(\bar x_1)*(1 - \bar x_1) + (\bar x_2)*(1 - \bar x_2) }[/tex]
So:
[tex]\sigma = \sqrt{(0.17)*(1 - 0.17) + (0.27)*(1 - 0.27) }[/tex]
[tex]\sigma = \sqrt{(0.17)*(0.83) + (0.27)*(0.73)}[/tex]
So:
[tex]CI = (0.17 - 0.27)\± 1.65\frac{\sqrt{(0.17)*(0.83) + (0.27)*(0.73)}}{\sqrt {200}}[/tex]
[tex]CI = (0.17 - 0.27)\± 1.65\sqrt{\frac{(0.17)*(0.83) + (0.27)*(0.73)}{200}}[/tex]
Adam is comparing the graphs of y=4x and y=8x. Which of the following statements is TRUE?