Answer:
a) a to the power of 2
b) c
Step-by-step explanation:
3 siblings are weeding a flower bed with an erea of 9 square yards. If they share the job equally, how many square yards of the flower bed will each child need to weed?
Answer:
2 1/4 square yards
Step-by-step explanation:
We have been given that Matthew and his 3 siblings are weeding a flower bed with an area of 9 square yards.
All person weeding flower bed: .
To find the area in square yards weeded by each child, we will divide total area of flower bed by 4.
Therefore, each child weeded square yards of flower bed.
Answer:
I believe it's going to be2 1/4 square feet
Elisa and her friend are dividing a 34-ounce bag of pretzels. Elisa
shares her portion equally with her two sisters. Which fraction
represents the amount of pretzels, in pounds, each person receives?
A. 17/48 lb
B. 2 1/8 lb.
c. 11 1/3 lb.
D. 1/2 lb.
Amount of pretzel each person receives is 17/16 lb.
What are Fractions?Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.
Here, a is called the numerator and b is called the denominator.
Total weight of the bag of pretzels = 34 ounce
Elisa shares this among her two sisters equally.
Share of pretzels each sister gets = 34 / 2 = 17 ounces
We need this amount in pounds.
We know that,
16 ounce = 1 lb.
17 ounces = 17/16 lb.
Hence the amount of pretzels each get is 17/16 lb.
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A surveyor wants to know the length of a tunnel built through a mountain. According to his equipment, he is located 120 meters from one entrance of the tunnel, at an angle of 42° to the perpendicular. Also according to his equipment, he is 101 meters from the other entrance of the tunnel, at an angle of 28⁰ to the perpendicular. Based on these measurements, find the length of the entire tunnel. Do not round any intermediate computations. Round your answer to the nearest tenth. Note that the figure below is not drawn to scale. 120 meters 42° 28° 101 meters
The length of the entire tunnel is 127.88 meters by using cosine law or formulae.
Here we can use the formulae of cosine when two sides a and b and angle between then is given we can apply it.
\(c^{2} =a^{2} +b^{2} -2ab cos (\alpha )\)
Let us take surveyor as point A
one end of the tunnel denoted by point B
other end of the tunnel denoted by point C.
The length of AB is 101 meters
length of AC is 120 meters.
Measure of angle at point A = 42° + 28° =70°
Now lets find the length of tunnel
=\(\sqrt{(120^{2})+(101^{2})-2.(120)(101) cos (70) }\)
=\(\sqrt{14400+10201-24240(0.34)}\)
=\(\sqrt{24601-8246}\)
\(\sqrt{16355}\)
=127.88 meters.
Hence the length of the entire tunnel is 127.88 meters.
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4. Alejandro Juarez is paid $829 every two weeks. a. What is Alejandro's yearly salary?
b. How much would Alejandro earn in one month?
Answer:
1. 21,554 PER YEAR
2. 1658 PER MONTH
Step-by-step explanation:
a.
so there are approximately 52 weeks per year
and alejandro juarez gets 829$ per 2 weeks
1..............LETS FIGURE OUT HOW MUCH HE EARNS PER WEEK
SO 829/2=414.5
so he gets 414.5 $ PER WEEK
2............LETS MULTIPLY THE AMOUNT OF MONEY PER WEEK BY THE WEEKS
SO 414.5*52=21554
SO ALEJANDRO JUAREZ EARNS 21,554$ PER YEAR
B.
SO WE ALREDY KNOWS ALEJANDRO EARNS 414.5$ PER WEEK
AND THERE ARE APPROXIMATELY 4 WEEKS IN A MONTH
SO 414.5*4=1658
SO HE EARNS 1658$ PER MONTH
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
cosβ=-√2/10. find the angle. plz help me
Answer:\(98.13\ \text{or}\ 261.87^{\circ}\)
Step-by-step explanation:
Given
\(\cos \beta =-\dfrac{\sqrt{2}}{10}\)
As the value of cosine is negative, therefore the angle must lie in II or III quadrant
\(\Rightarrow \beta =\cos^{-1}(-\dfrac{\sqrt{2}}{10})\\\Rightarrow \beta=\cos^{-1}(-0.14142)\\\Rightarrow \beta =98.13^{\circ}\ \text{or}\ 270^{\circ}-8.13\\\Rightarrow \beta=98.13^{\circ}\ \text{or}\ 261.87^{\circ}\)
For trapezoid WXYZ shown below, points U and V are the midpoints of the legs. Use this information to find UV, the length of the mid segment.
Given:
\(\begin{gathered} WX=x+7 \\ ZY=6x+5 \\ UV=8x-3 \end{gathered}\)\(\begin{gathered} UV=\frac{1}{2}(WX+ZY) \\ 8x-3=\frac{1}{2}(x+7+6x+5) \\ 2(8x-3)=(7x+12) \\ 16x-6=7x+12 \\ 16x-7x=12+6 \\ 9x=18 \\ x=\frac{18}{9} \\ x=2 \end{gathered}\)\(\begin{gathered} \text{Length of the midsegment=8x-3} \\ =8(2)-3 \\ =16-3 \\ =13 \end{gathered}\)13 is the final answer.
At the toy store, 5 toy cars cost $4.20. How much does it cost to buy 15 toy cars?
OA.
$11.10
OB.
$12.60
OC.
$13.35
OD.
$14.10
The Answer:
B. $12.60
Answer:
The answer would be B.
Step-by-step explanation:
So first what you would do is find what ONE toy car costs, so you would divide 4.20 by 5, which equals 0.84. Then you'd multiply what ONE toy car costs by the amount of toy cars you want to buy, which in this case is 15. 15 times 0.84 is equal to 12.60
Hope this helps!
There is a loss of Rs 5 when a watch is sold at the discount of 10%. IF the watch is sold at the discount of 5%, there is profit of Rs 22.50. Find the marked price of the watch.
what kind of question usually produces a wide variety of responses by allowing respondents to answer in whatever way seems appropriate to them?
A closed-ended question is one that doesn't permit many different answers.
Closed-ended questions are those that can only be answered by choosing one of a small number of possibilities. These questions are typically multiple-choice with a single-word response, such as "yes" or "no," or they can use a rating system (e.g. from strongly agree to strongly disagree).
Close-ended questions, such as "yes/no" or multiple choice questions with predetermined answers, are questions that demand a certain response from the respondent. Closed-ended inquiries are frequently used to collect quantitative data from respondents.
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A spring with an −kg mass and a damping constant 9 can be held stretched 2.5 meters beyond its natural length by a force of 7.5 Newtons. If the spring is stretched 5 meters beyond its natural length and then released with zero velocity, find the mass that would produce critical damping.
The mass that would produce critical damping is \(6.75 kg.\)
The mass that would produce critical damping
Given:
- Spring constant (k) can be calculated using Hooke's Law: F = kx, where F is the force applied, x is the displacement from the natural length, and k is the spring constant.
- Damping constant (c) is 9.
- The spring is stretched 2.5 meters beyond its natural length by a force of 7.5 Newtons.
First, let's find the spring constant (k):
\(7.5 N = k * 2.5 m\)
\(k = 7.5 N / 2.5 m\)
\(k = 3 N/m\)
Now, we can find the mass (m) that would produce critical damping. The formula for critical damping is:
\(c = 2 * sqrt(m * k)\)
where c is the damping constant and m is the mass. We'll solve for m:
\(9 = 2 * sqrt(m * 3)\)
\(9 / 2 = sqrt(3m)\)
\((9 / 2)^2 = 3m\)
\(81 / 4 = 3m\)
\(m = (81 / 4) / 3\)
\(m = 27 / 4\)
\(m = 6.75 kg\)
The mass that would produce critical damping is \(6.75 kg.\)
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Functions, Domain, and Range (Please Help)
s^2-11s
Find the solution set for this equation and separate the two values with a comma
The solution set for this equation S^2-11s can be expressed as 0, 11.
How can the values for the equation be determined?An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides, a left-hand side (LHS) and a right-hand side (RHS), separated by an equal sign (=). The LHS and RHS can contain variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, and so on. The purpose of an equation is to find the value(s) of the variable(s) that make the equation true.
Given that S^2-11s, which can be written as S^2-11s = 0 We can factor the expression on the left-hand side to get:
S(S-11) = 0
Then this equation is satisfied when either S = 0 or S-11 = 0. Thus, the solution set is: S = {0, 11}
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assume that ∣∣∣an 1an∣∣∣ converges to rho=17. what can you say about the convergence of the given series? [infinity]∑n=1bn=[infinity]∑n=1n5an
The series `∑bn` converges if and only if `∑cn` converges, since both series are positive. We know that `∑cn` is a p-series with `p = 5 > 1`, and hence, converges. Therefore, `∑bn` also converges.
Let's first write the definition of the absolute value of a number x: |x|=x, if x≥0; |x|=−x, if x<0.
Here, we assume that `|an / 1an|` converges to `rho = 17`.
Therefore, 17 - ε < |an / 1an| < 17 + ε, for all ε > 0.
Dividing both sides by 17 and taking reciprocals, we have:
`1/(17 + ε) < 1/|an / 1an| < 1/(17 - ε)`Let `bn = n^5an`.
Since `bn` is the product of `n^5` and `|an / 1an|`, the limit of `|bn / 1bn|` is the same as the limit of `|an / 1an|`, which is 17.
Now, we use the Limit Comparison Test to determine the convergence of the series `∑bn` since `bn` is positive for all n. Let `cn = n^5`.
Then, the limit of `|bn / 1cn|` is: `lim (n → ∞) |bn / 1cn| = lim (n → ∞) |an / 1an| = 17`.
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The given series
\([infinity]∑n=1bn=[infinity]∑n=1n^5an\)
will converge.
The p-series test is used to check the convergence of a series of the form
∑n^p. If p > 1,
the series converges, otherwise, it diverges.
Given that ∣∣∣an 1an∣∣∣ converges to rho = 17.
We need to determine what can be said about the convergence of the given series i.e
[infinity]∑n=1bn=[infinity]∑n=1n^5an.
We know that if ∣an∣ converges then the series ∑an converges as well. Here, we have
∣∣∣an 1an∣∣∣ = 1/∣∣∣an∣∣∣ → 1/17
We know that the given series
\([infinity]∑n=1bn=[infinity]∑n=1n^5an\)
is a product of ∑n^5 and ∣∣∣an 1an∣∣∣ series, i.e,
∑n^5*∣∣∣an 1an∣∣∣.
So, by comparison test, we can say that if ∑n^5 converges, then the given series ∑n^5an will also converge.
Let's check if ∑n^5 converges or not using the p-series test,
\(∑n^5 = ∞∑n=1 1/n^-5 = ∞∑n=1 n^5∞∑n=1 1/n^-5 = ∞∑n=1 n^-5\)
Since p = 5 > 1, ∑n^5 is a convergent series.
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Need answers stat trigonometry
The required measure of x is given in each triangle are given as,
2. x = 74.01 3. 25.09 4. x = 23.78
5. x = 26.64 6. x = 21.03° 7. x = 39.55°
If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to calculate the measures of one (or both) of the acute angles.
Here,
2.
For the given triangle
Apply the trigonometric ratios,
Tan 62 = x/25
x = 25 tan62
x = 74.01
Similarly,
3. x = 11/sin26 = 25.09
4. x = 32sin48 = 23.78
5. x = 29/cos12 = 29.64
6. cosx = 14/15 = 21.03°
7. tanx = 19/23 = 39.55°
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Complete the square
x^2 - 2x - 14 = 0
I know the length and width of a room and the number of square feet that a gallon of paint will cover. How can I find how many gallon buckets of paint I'll need to buy to paint the ceiling of that room?
To determine the number of gallon buckets of paint you'll need to buy to paint the ceiling of a room, you need to calculate the area of the ceiling and then divide it by the coverage of one gallon of paint. Here's a step-by-step process:
1. Measure the length and width of the room's ceiling in feet. Let's denote the length as L and the width as W.2. Calculate the area of the ceiling by multiplying the length and width: Area = L × W.3. Determine the coverage of one gallon of paint in square feet. This information is usually provided on the paint can label or product specifications.4. Divide the area of the ceiling by the coverage of one gallon of paint to find the number of gallon buckets needed:\(\) Number of gallon buckets = Ceiling Area / Coverage per gallon of paint.
By following these steps, you can accurately estimate the number of gallon buckets of paint required to paint the ceiling of the room. Remember to check the paint can label or product information for the specific coverage per gallon to ensure an accurate calculation.
Answer:
To find out how many gallons of paint you'll need to buy to paint the ceiling of a room, you'll need to calculate the area of the ceiling by multiplying its length by its width. Then, divide the area of the ceiling by the number of square feet that a gallon of paint will cover. This will give you the number of gallons of paint you'll need to buy. You can round up to the nearest whole number to make sure you have enough paint.
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4х + Зу = 3
4x - 2y = 18
How to solve this?
Using elimination, you can do
4x+3y-(4x-2y)=3-(18)
5y=-15
y=-3
Substitute it back into original equation:
4x+6=18
4x=12
x=3
So, the answer is x=3, y=-3
there are 28 tables for customers at mesa grill resturant. the tablesnare either two-seat tables or four-seat tables. when all tables are full, there will be 90 customers in the restaurant. how many two-seat tables are at the restaurant
Let's assume –
Number of two-seat tables be "x"\(\qquad\) According to the question :-
\(\qquad \pmb{\sf\longrightarrow 4 \times (28−x)+2 \times x=90}\)
\(\qquad \pmb{\sf\longrightarrow 112−4x+2x=90}\)
\(\qquad \pmb{\sf\longrightarrow 112−2x=90}\)
\(\qquad \pmb{\sf\longrightarrow −2x=90−112}\)
\(\qquad \pmb{\sf\longrightarrow −2x=−22}\)
\(\qquad \pmb{\sf\longrightarrow 2 x=22}\)
\(\qquad \pmb{\sf\longrightarrow x= \cancel{\dfrac{22}{2}}}\)
\(\qquad \longrightarrow {\pink{\underline{\underline{\pmb{\sf{ x= 11}}}}}}\)
Therefore –
Number of two-seat tables are 11.▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
Answer: 11
Step-by-step explanation:
This is a problem of solving word problems using systems of equations.
Let's denote 2-seat tables by x and 4-seat tables by y. Therefore, their sum will be the total number of tables, which is 28. So, x + y = 28.
Now, let's concentrate on the number of customers. It says that 'when all tables are full, there will be 90 customers in the restaurant'. Therefore if we seat 2 people on each 2-seat table(x), their total number will be 2x and if we seat 4 people on each 4-seat number(y), their total number will be 4y. Hence, 2x + 3y = 90.
Now, we have a system with two equations:
\(\left \{ {{x + y = 28} \atop {2x + 4y = 90}} \right.\)
Multiply the first line by -4.
\(\left \{ {{-4x -4y = -112} \atop {2x + 4y = 90}} \right.\)
Now, by adding up these two equations, we get the following:
-2x = -22
x = 11
This means that the restaurant has 11 two-seat tables.
i need help ................
Answer:
The answer is B) 40 yards for $45.00
Step-by-step explanation:
Options:
A) 20 yards per $30.00
B) 40 yards per $45.00
C) 50 yards per $70.00
C) 65 yards per $85.00
Think if buying something at the lowest cost which gives more.
1 yard per $1.00, sounds like a good deal.
20 yards per $30.00 which mean $10.00 more.
40 yeards per $45.00 which mean $5.00 more.
50 yards per $70.00 which mean $20.00 more.
65 yeards per $85.00 which mean $25.00 more.
Choose the equation that represents the graph.
graph of a line passing through points negative 3 comma 0 and 0 comma 3
y = x − 3
y = −x + 3
y = −x − 3
y = x + 3
Answer:
Answer: Option D
Step-by-step explanation:
Hey there!
From the above question;
The line passes through (-3,0) and (0,3).
Use double point formula;
\(( y - y1) = \frac{(y2 - y1)}{(x2 - x1)} (x - x1)\)
Keep all values;
\((y - 0) = \frac{(3 - 0)}{(0 - ( - 3))} (x + 3)\)
Simplify it;
\(y = \frac{3}{3} (x + 3)\)
Therefore, y = x+3.
Hope it helps!
Answer:
D
Step-by-step explanation:
= Knowledge Check
Simplify.
-3 (v + 2) + 6v
A book originally cost $16.95. Dave bought the book when it was an
For 20% oh. How much did he pay for the book?
Answer:
13.56
Step-by-step explanation:
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What is the equation of the line with a slope of 3/2 and a y-intercept of -6?
Answer:
Step-by-step explanation:
Given the linear equation, y = 3/2x - 6: where the slope, m = 3/2 and y-intercept, (0, -6).I plotted the y-intercept on the graph, then used the slope (3 rise, 2 run) to plot the other points on the graph and create a line.
Given f(x) = 1/3(4-x),What is the value of f(16)?
Answer:
-1/4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
16f=−4
Step 2: Divide both sides by 16.
A 70 D 150 B95 45 35% 15% 55"
The probability that the defective product came from the plant C is 0.4412 or 44.12%
Why is this?This was solved using Bayes Theorem.
Bayes Theorem is expressed as:
P (C |D) = P(D | C) x P(C)/P(D)
P (C |D) = Probability that the devective product is ffom Plant C
P (D| C) = probablity that a product from Plant C is devective
This is given as 1-0.85
= 0.15
P(C) = Probability a product is from Plant C= 0.5
P(D) = probability a product is defective
P (D = P (D | A) x P(A) + P( D |B) * P (B ) + P(D |C) x P (C)
So we say
P(D|A) = 1 -0.75 = 0.25
P(A) = 0.35
P( D|B) = 1-0.95 = 0.05; and
P(B) = 0.15
Next we say based on the ab ove that:
P(D) = 0.25 x0.35 + 0.05 x0.15 + o.15 x 0.5
P D)= 0.17
So puting this into the Bayes Formula:
P (C|D) = 0.15 x 0.5/0.17
P (C|D = 0.44117647058
P (C|D) \(\approx\) 0.4412
Thus, the probability that the defective product came from plact C is 44.12%
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Full Question:
Although part of your question is missing, you might be referring to this full question:
A certain firm has plants A, B, and C producing respectively 35%, 15%, and 50%, of the total output. The probabilities of a nondefective product are, respectively, 0.75, 0.95, and 0.85. A customer receives a defective product. What is the probability that it came from plant C?
Suppose that f(4) = 3, g(4) = 5, f'(4) = -4, and g'(4) = 2. Find h'(4). (a) h(x) = 2f(x) + 5g(x) h'(4) = (b) h(x) = f(x)g(x) h'(4) = (c) h(x)=f(x)/ g(x) h'(4) = (d) h(x) =g(x) /f(x) + g(x) h'(4)=
(a) h'(4) = 2
(b) h'(4) = -14
(c) h'(4) = -26/25
(d) h'(4) = 26/11 Value of function h(x)
To find h'(4), we need to differentiate the given functions with respect to x and then evaluate them at x = 4.
(a) h(x) = 2f(x) + 5g(x)
To find h'(x), we differentiate each term separately using the sum rule:
h'(x) = 2f'(x) + 5g'(x)
Substituting x = 4:
h'(4) = 2f'(4) + 5g'(4)
= 2(-4) + 5(2)
= -8 + 10
= 2
Therefore, h'(4) = 2.
(b) h(x) = f(x)g(x)
To find h'(x), we use the product rule:
h'(x) = f'(x)g(x) + f(x)g'(x)
Substituting x = 4:
h'(4) = f'(4)g(4) + f(4)g'(4)
= (-4)(5) + (3)(2)
= -20 + 6
= -14
Therefore, h'(4) = -14.
(c) h(x) = f(x)/g(x)
To find h'(x), we use the quotient rule:
h'(x) = (f'(x)g(x) - f(x)g'(x)) / (g(x))^2
Substituting x = 4:
h'(4) = (f'(4)g(4) - f(4)g'(4)) / (g(4))^2
= (-4)(5) - (3)(2) / (5)^2
= -20 - 6 / 25
= -26 / 25
Therefore, h'(4) = -26/25.
(d) h(x) = g(x)/f(x) + g(x)
To find h'(x), we use the sum and quotient rules:
h'(x) = (g'(x)f(x) - g(x)f'(x)) / (f(x))^2 + g'(x)
Substituting x = 4:
h'(4) = (g'(4)f(4) - g(4)f'(4)) / (f(4))^2 + g'(4)
= (2)(3) - (5)(-4) / (3)^2 + 2
= 6 + 20 / 9 + 2
= 26 / 11
Therefore, h'(4) = 26/11.
To summarize:
(a) h'(4) = 2
(b) h'(4) = -14
(c) h'(4) = -26/25
(d) h'(4) = 26/11
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please help im on a time limit!
Answer:
there are 275 pages in the book
Step-by-step explanation:
i shows that Andre read 20 more
pages
A tabular method that can be used to summarize the data on two variables simultaneously is called.
The tabular method is called: cross-tabulation.
What is Cross-Tabulation?Cross-tabulation, which is also called contingency table or shorten as cross-tab, can be described as a tool in statistics used in analyzing categorical data that involves mutually exclusive values.Cross-tabulation is used in analyzing the relationship within a data having two variables, where such relationship are not evident enough.Therefore, the tabular method is called: cross-tabulation.
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How can Preena share 11 identical apples among 30 of her classmates evenly so that no apple is sliced into more than 10 pieces?
Answer:
Step-by-step explanation:
you can divide 11/30 and get 0.37
0.37%/ 100*11 =
Multiply:
0.37*11 =
add the 100 to the product you multiplied and divide them together:
4.07/100=
your quotient:
0.0407
round by 2 decimals:
0.04
your final answer is :
0.04
please help MARKING BRAINLIST
Answer:
I don't know ask your parents
Step-by-step explanation: