SOLUTION
Each bottle contains
\(4\frac{3}{4}scoops\)The formula container holds
\(266\text{scoops }\)1). The mathematical operation required is
\(\text{Division }\)Division(/)
2). The calculation required to solve the problem is
\(\begin{gathered} 266\text{ divided by 4}\frac{\text{3}}{4} \\ or \\ 266\frac{.}{.}4\frac{3}{4} \end{gathered}\)Then
\(\begin{gathered} 266\frac{.}{.}4\frac{3}{4} \\ \\ 266\frac{.}{.}\frac{19}{4} \\ \text{Change the division to multiplication } \\ 266\times\frac{4}{19} \\ \end{gathered}\)Hence
\(\frac{266\times4}{19}=\frac{1064}{19}=56\)hence
56
Solve the exponents below 10x10x10x10x10x10x10
Answer:
10⁶
Step-by-step explanation:
If you were looking for that in exponential form, this is the answer
Points x and y and points C,D,E and f are shown what is true about points
The true statement is "the line that can be drawn through points D and E is contained in plane Y".
option B is the correct answer
What are the true statements about the point x and y?The points x and y and points C,D,E and f are shown in the figure, the true statement is determined as follows;
We know that, if two points lie in a plane, then the line drawn through the points will contained in the same plane.
The points C lies outside the plane Y and the point D lies on the plane Y, so the line drawn through the points C and D will not contained in plane Y.
So, option (A) is NOT correct.
The points D and E, both lie in the plane Y, so the line drawn through the points D and E will also contained in plane Y.
So, option (B) is CORRECT.
Since the plane X contain infinitely many points, so F is not the only point that can lie in plane X.
So, option (C) is NOT correct.
Similarly, there are infinitely many points in the plane Y, so the points D and E are not the only points that can lie in plane Y.
So, option (D) is NOT correct.
Thus, the correct option is;
The line that can be drawn through points D and E is contained in plane Y.
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The complete question is below:
Points x and y and points C,D,E and f are shown what is true about points
(A) The line that can be drawn through points C and D is contained in plane Y.
(B) The line that can be drawn through points D and E is contained in plane Y.
(C) The only point that can lie in plane X is point F.
(D) The only points that can lie in plane Y are points D and E
What does 3 - 11 - (-6) equal?
Answer:
-2
Step-by-step explanation:
3-11+6
-8+6
-2
A pizza company is building a rectangular solid box to be able to deliver personal pan pizzas. The pizza company wants the volume of the delivery box to be 280 cubic
inches. The length of the delivery box is 6 inches less than twice the width, and the height is 2 inches less than the width. Determine the width of the delivery box.
A. 7 inches
B. 5 inches
C. 6 inches
D. 8 inches
Answer: 7
Step-by-step explanation:
Length : 6 - x2
Height : x - 2
Width : x = 7
Formula for a rectangle : H x L x W
280 = (7)2 - 6 x (7) - 2 x 7
280 = 14 - 6 x 5 x 7
280 = 8 x 5 x 7
the width of the delivery box is 7 inches
The volume of the solid box is given as:
Volume = length × width × height
Let x represent the width of the box.
The length of the delivery box is 6 inches less than twice the width, hence:
Length = 2x - 6
The height is 2 inches less than the width, hence:
Height = x - 2
Therefore:
volume = length × width × breadth
280 = (2x - 6)(x - 2)(x)
280 = (2x - 6)(x² - 2x)
2x³ - 4x² - 6x² + 12x = 280
2x³ - 10x² + 12x - 280 = 0
Therefore x = 7
Hence the width of the delivery box is 7 inches.
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You want to buy a $34,000 car. The company is offering a 4% interest rate for 36 months (3 years). What will your monthly payments be?
Answer:
$1003.82
Step-by-step explanation:
You want the monthly payment on a $34,000 loan for 36 months at 4%.
AmortizationThe amortization formula tells you the monthly payment on a loan of principal P at rate r for t months will be ...
A = P(r/12)/(1 -(1 +r/12)^-t)
For the given loan parameters, the payment will be ...
A = $34,000(0.04/12)/(1 -(1 +0.04/12)^-36) ≈ $1003.82
Your monthly payments will be $1003.82.
__
Additional comment
All spreadsheets and many calculators have functions for calculating loan values.
Travel Expenses, Meals And Entertainment, Educational Expenses (LO 3.4, 3.5, 3.6) Bob is a self-employed lawyer and is required to take a week of continuing legal education every year to maintain his license. This year he paid $1,400 in course fees for his continuing legal education in a different city. He also paid $500 for airfare and a hotel room and paid $300 for meals, all of which were provided by the hotel’s restaurant. Bob also purchased a $10 bag of snacks from a newsstand while waiting for his plane in the airport because he missed lunch. What is the total amount he can deduct on his Schedule C related to these expenses? fill in the blank 1 of 1$
Bob can deduct a total of $2,210 on his Schedule C related to these expenses.
How to calculate deductible amount?To determine the total amount Bob can deduct on his Schedule C related to these expenses, consider the specific categories that can be deducted. Based on the information provided, categorize the expenses as follows:
Course fees for continuing legal education: $1,400
Airfare and hotel room: $500
Meals provided by the hotel's restaurant: $300
Snacks from the newsstand: $10
To calculate the total amount that Bob can deduct, add up these expenses:
$1,400 + $500 + $300 + $10 = $2,210
Therefore, Bob can deduct a total of $2,210 on his Schedule C related to these expenses.
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What is a formula for the nth term of the given sequence? 18 , 21 , 24
Answer:
3n+15
Step-by-step explanation:
18, 21, 24
+3. +3
3n
18-3=15
3n+15
A set of 10 cards consists of five red cards and five black cards. The cards are shuffled thoroughly, and I choose one at random, observe its color, and replace it in the set. The cards are thoroughly reshuffled, and I again choose a card at random, observe its color, and replace it in the set. This is done a total of four times. Let X be the number of red cards observed in these four trials. The mean of X is:
Answer:
The mean of X is 2
Step-by-step explanation:
Given the data in the question;
set of 10 cards consist of 5 red card and 5 blacks
cards are chosen, replaced and shuffled four times;
number of independent trials n = 4
now, since its is replaced, the probability of getting a red card in each trial will be;
p = 5/10 = 0.5
let X rep the number of red cards observed in the four trials.
the random variable follows binomial distribution where
n = 4 and p = 0.5
so
E(X) = ∑xP( X = x )
E(X) = np
we substitute
E(X) = 4 × 0.5
E(X) = 2
Therefore, The mean of X is 2
In Math town,60% of the population are males and 30% of them have brown eyes. Of the total math town population 28 % have brown eyes. What percentage of the females in math town have brown eyes?
25% percent of the females in Math town have brown eyes. To find the number of females with brown eyes, we need to subtract the number of males with brown eyes from the total number of people with brown eyes
what is percent ?
A percent is a way of expressing a number as a fraction of 100. The symbol for percent is %, which means "per hundred".
In the given question,
Let's assume that there are 100 people in Math town.
60% of them are males, so there are 60 males and 40 females.
Out of the 60 males, 30% have brown eyes, so there are 18 males with brown eyes.
28% of the entire population have brown eyes, so there are 28 people with brown eyes.
To find the number of females with brown eyes, we need to subtract the number of males with brown eyes from the total number of people with brown eyes:
28 - 18 = 10
So, there are 10 females with brown eyes.
Out of the 40 females in Math town, what percentage have brown eyes?
10 brown-eyed females out of 40 females is:
10/40 = 0.25 or 25%
Therefore, 25% of the females in Math town have brown eyes.
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PLEASE HELP!! WHOEVER HELPS FIRST AND GETS IT CORRECT GETS BRAILIEST!!
Answer:
16 rotations
Step-by-step explanation:
500/32 = 15.625
15.625 rounded = 16
hope it helps!
Graph the piecewise function
The graph of the given piecewise function is as attached below.
Piecewise function is a function consisted of pieces of different functions over different intervals.
From the case we have:
f(x) = 3x - 5 if x ≤ -1
f(x) = -2x + 3 if -1 < x < 4
f(x) = 2 if x ≥4
To construct the piecewise function, we can try to find the base points of each functions.
f(x) = 3x - 5; if x ≤ -1
We will take x = -1 to approximate the line position
f(-1) = 3(-1) - 5
f(-1) = -3 - 5 = -8
f(x) = -2x + 3; if -1 < x < 4
(x = -1)
f(-1) = -2 (-1) + 3
f(-1) = 2 + 3 = 5
(x = 4)
f(4) = -2 (4) + 3
f(4) = -8 + 3 = -5
f(x) = 2; if x ≥ 4
(x = 4)
f(4) = 2
We can put each points on the graph and try to construct the piecewise function.
Please refer to the attached graph below for the piecewise function graph
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If I was asked to think of a number and multiply it by 2, I could
write this algebraically as 2x.
Write the following algebraically, using x as your unknown.
“I think of a number, multiply it by 5 and subtract 3 from the result."
please give me correct answer
Answer:
36 = 17+19 ---> They are twin primes and their sum is 3684 = 41+43 ---> They are twin Primes and sum is 84120 = 59+61 ---> They also are twin primes and their sum is 120144 = 71+73 ---> They are also twin primes and the sum is 144is 3:2 and 10:5 equvalent?
3 cm
8 cm
Find surface area of cylinder
Answer: \(66\pi \text{ cm}^{2\)
Step-by-step explanation:
\(S=2\pi(8)(3)+2\pi(3)^{2}=\boxed{66\pi \text{ cm}^{2}}\)
What are the INEQUALITIES of these?
The evaluation of the inequalities are presented as follows;
2. x ≤ -5
3. x ≤ -14
4. x ≤ 4
5. x < -10
What is an inequality?An inequality is an expression or comparison of two expressions that posses different values using an inequality sign.
2. -14·x + 1 ≥ 71
-14·x + 1 - 1 ≥ 71 - 1
-14·x ≥ 70
x ≤ 70/(-14) = -5
x ≤ -5
3. -3·x - 1 ≥ 41
-3·x - 1 + 1 ≥ 41 + 1 = 42
-3·x - 1 + 1 ≥ 42
-3·x ≥ 42
x ≤ 42/(-3) = -14
x ≤ -14
4. (x/2) + 11 ≤ 13
(x/2) + 11 - 11 ≤ 13 - 11 = 2
x/2 ≤ 2
x ≤ 2 × 2
x ≤ 4
5. x/(10) - 6 < -7
x/(10) - 6 < -7
x/(10) -6 + 6 < -7 + 6 = -1
x/(10) < -1
x < -10
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A method currently used by doctors to screen patients for a certain type of cancer fails to detect cancer in 15% of the patients who actually have the disease. A new method has been developed that researchers hope will be able to detect cancer more accurately. A random sample of 80 patients known to this type of cancer is screened using the new method and the method failed to detect the cancer in 8 patients. At the 5% level of significance, can the researchers conclude that the new method is better than the one currently in use? (Can they conclude that the new method fails to detect cancer in less than 15% of the patients who actually have the disease?)
Answer:
A technique presently used through docs to display screen ladies for breast most cancers fails to observe most cancers in 15% of the girls who without a doubt have the disease. A random pattern of eighty girls acknowledged to have breast most cancers are to be screened the use of a new technique that researchers suppose will be capable to realize most cancers greater accurately. At the 0.05 stage of significance, the researchers will be capable to conclude that the new approach is higher than the present day one if the fantastic.
Answer::: greater than 1.645
The soccer team played a total of twenty-four games and won four more games than they lost. What was the team's win-loss record for the season ? wins _____. Losses _____.
Answer:
Wins _16____. Losses _12____.
Step-by-step explanation:
Since they played 24 games, the wins and losses must add to 24.
Wins losses
24 0
23 1
22 2
21 3
20 4
19 5
18 6
17 7
16 8
15 9
14 10
13 11
12 12
11 13
10 14
9 15
They won 4 more than they lost is 16 W and 12 L.
In the currency pair USD/CAN, USD is what currency?
If it costs $3.50 per square foot, what is the approximate total cost of making this
pipe that is open at both ends?
K.
30
기
A $210.00
B $659.40
C $340.69
D $681.38
Answer:
the right answer would be C
Answer:
Step-by-step explanation:
You first need to find the surface area of a completely open cylinder. That formula is
\(SA=2\pi rh\) Using 3.14 for π, we find the area of the material that is needed to make this pipe:
SA = 2(3.14)(1)(30)
SA = 188.49 square feet.
If it costs $3.50 per square foot and you have 188.9 square feet, we multiply the cost per square foot times the number of square feet:
188.49(3.50) = $659.40, choice B.
What is the value of the discriminant for the quadratic equation –3 = –x2 + 2x?
Discriminant = b2 – 4ac
–8
4
8
16
The value of the discriminant for the quadratic equation –3 = –x2 + 2x is 16
What is the value of the discriminant for the quadratic equation?The quadratic equation is given as:
–3 = –x^2 + 2x
Rewrite the equation as:
x^2 - 2x - 3 = 0
A quadratic equation is represented as;
ax^2 + bx + c = 0
So, we have
a = 1
b = -2
c = -3
The discriminant is
d = b^2 - 4ac
So, we have
d = (-2)^2 - 4 * 1 * -3
Evaluate
d = 16
Hence, the value of the discriminant for the quadratic equation –3 = –x2 + 2x is 16
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Answer:
16
Step-by-step explanation:
-5p = -40 solve for t
Answer:
p = 8
Step-by-step explanation:
Divide -5 to both sides
-5p = -40
5p = 40
p = 8
So p = 8
Mackenzie is working two summer jobs, washing cars and landscaping. She must work at least 17 hours altogether between both jobs in a given week. Write an inequality that would represent the possible values for the number of hours washing cars, w, and the number of hours landscaping, L, that Mackenzie can work in a given week.
please help
Answer:
w + l ≥ 17---------------------------------
Total number of hours is w + l and it should be at least 17 hours, (equal to 17 or greater).
We can set inequality as:
w + l ≥ 17Please i need this fast Please Please Please
Answer:
Probably 9
Step-by-step explanation:
Because 27 divided by 3 is 9
Stacy goes to the county fair with her friends. The total cost of ride tickets is given by the equation c = 3.5t, where c is the total cost of tickets and t is the number of tickets. What would Stacy spend if she bought 15 tickets?
Answer:
$52.50
Step-by-step explanation:
C = 3.5t
C = 3.5 (15)
3.5 × 15 = 52.5
C = $52.50
What is the value of 4x10 with the exponent of 2 sorry I'm not good at exponents?
Answer:
Step-by-step explanation:
4 x 10^2 = 4 x 100 = 400
Factor 1/3x−1/3. If the expression cannot be factored, write cannot be factored.
Answer:
1/3(1/x-1)
Step-by-step explanation:
Julio and Kyle hike along the same trail. Kyle hikes the first 6 miles in 2 hours. Who hikes more quickly?
Can someone help me with this pleasee here is the picture
The system of equations as an augmented matrix is \(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)
Writing the system of equations as an augmented matrixFrom the question, we have the following parameters that can be used in our computation:
x = 100
-5m - 7c = 350
-5m - 9c = 200
The above means that the variables in the system of equations are
x, m and c
So, we have the following representation
x m c
1 0 0 100
0 -5 -7 350
0 -5 -9 200
When represented as an augmented matrix, we have
\(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)
Hence, the augmented matrix is \(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)
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A total of 12 runners complete in a race. The first three runners to cross the finish line will win medals. and how many different arrangements can the three medals be awarded?
A. 1,320
B. 79,833,600
C. 1,728
D. 220