Which statements are correct about the table? Check all that apply.
Hours (h)
Dollars (d)
1
42
2
84
3
126
4
168
5
?
Multiply h by 42 to get d.
Multiply d by 42 to get h.
The missing value in the last row is 169.
The missing value in the last row is 210.
m
real world cituation that in
1000
H
Answers
Answer:
Add 42 to itself from h to get the corresponding answer at d
42+42=84
84+42=126
126+42=168
168+42=210
Related Questions
how to find domain and range of a radical function
Answers
Domain of the radical function of the form f(x) = √(ax + b) + c is given by the solution of the inequality ax + b ≥ 0 and the range is the all possible values obtained by substituting the domain values in the function.
We know that the general form of a radical function is,
f(x) = √(ax + b) + c
The domain is the possible values of x for which the function f(x) is defined.
And in the other hand the range of the function is all possible values of the functions.
Here for radical function the function is defined in real field if and only if the polynomial under radical component is positive or equal to 0. Because if this is less than 0 then the radical component of the function gives a complex quantity.
ax + b ≥ 0
x ≥ - b/a
So the domain of the function is all possible real numbers which are greater than -b/a.
And range is the values which we can obtain by putting the domain values.
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7n-4=31 what does n equals ?
Answers
Answer
n = 5
Explanation
We need to solve for n in the equation given
7n - 4 = 31
Add 4 to both sides
7n - 4 + 4 = 31 + 4
7n = 35
Divide both sides by 7
(7n/7) = (35/7)
n = 5
Hope this Helps!!!
Solve the simultaneous equations:
4x + 3y = 5
2x - 5y = 9
Preferably use elimination rather than other methods.
Answers
4x +3y =5 -------> eq (1)
2x -5y =9 -------> eq(2)
eq(2) * -2 --------> -4x +10y =-18 ------->eq(3)
eq(1) + eq(3) -----> 13y =13 ----> y=1 <>
then When you substitute y=1 into any equation
x=7
ANSWER PLZ WILL MARK BRAINLIEST!!!!!!
Answers
Answer:
3x^2
Step-by-step explanation:
A barge is being towed by two tugboats, using ropes with force vectors as shown.
Answers
SOLUTION
From the question, we are given
\(\begin{gathered} F_1=(11,000,5000) \\ F_2=(14,500,-8,000) \end{gathered}\)Now, to find the angle between the ropes, we will take the dot product of two vectors. This is given as
\(\begin{gathered} a.b=|a||b|cos\theta \\ so,\text{ we have } \\ cos\theta=\frac{a.b}{|a||b|} \end{gathered}\)But writing the forces in vector form, we have
\(\begin{gathered} F_1=11,000i+5000j \\ F_2=14,500i-8,000j \end{gathered}\)Applying the formula above, we have
\(\begin{gathered} cos\theta=\frac{a.b}{|a||b|} \\ cos\theta=\frac{(11,000)(14,500)+(5000)(-8000)}{\sqrt{11,000^2+5000^2)\sqrt{14500^2+(-8000)^2}}} \\ cos\theta=\frac{159,500,000-40,000,000}{\sqrt{121,000,000+25,000,000}\sqrt{210,250,000+64,000,000}} \\ cos\theta=\frac{119,500,000}{\sqrt{146,000,000}\sqrt{274,250,000}} \\ cos\theta=\frac{119,500,000}{12,083.04579\times16560.4952} \\ cos\theta=\frac{119,500,000}{200,101,221.806675} \\ cos\theta=0.5971977 \end{gathered}\)Now, theta becomes
\(\begin{gathered} \theta=cos^{-1}0.5971977 \\ \theta=53.3305 \end{gathered}\)hence the answer is option B, 53 degrees
SOLUTION
From the question, we are given
\(\begin{gathered} F_1=(11,000,5000) \\ F_2=(14,500,-8,000) \end{gathered}\)Now, to find the angle between the ropes, we will take the dot product of two vectors. This is given as
\(\begin{gathered} a.b=|a||b|cos\theta \\ so,\text{ we have } \\ cos\theta=\frac{a.b}{|a||b|} \end{gathered}\)But writing the forces in vector form, we have
\(\begin{gathered} F_1=11,000i+5000j \\ F_2=14,500i-8,000j \end{gathered}\)Applying the formula above, we have
\(\begin{gathered} cos\theta=\frac{a.b}{|a||b|} \\ cos\theta=\frac{(11,000)(14,500)+(5000)(-8000)}{\sqrt{11,000^2+5000^2)\sqrt{14500^2+(-8000)^2}}} \\ cos\theta=\frac{159,500,000-40,000,000}{\sqrt{121,000,000+25,000,000}\sqrt{210,250,000+64,000,000}} \\ cos\theta=\frac{119,500,000}{\sqrt{146,000,000}\sqrt{274,250,000}} \\ cos\theta=\frac{119,500,000}{12,083.04579\times16560.4952} \\ cos\theta=\frac{119,500,000}{200,101,221.806675} \\ cos\theta=0.5971977 \end{gathered}\)Now, theta becomes
\(\begin{gathered} \theta=cos^{-1}0.5971977 \\ \theta=53.3305 \end{gathered}\)hence the answer is option B, 53 degrees
Find the probability of
1: choosing a yellow marble from a bag that contains 6 yellow marbles and 8 red marbles,
and
2: flipping a coin and it showing heads.
Answers
Answer:
1ans) 6/14 or 3/7 probability
2ans) 1/2 or a 50% chance
Given that a:b:c = 20: 35: 15 , then the value of c:b
Answers
The given ratio is a:b:c = 20:35:15. We are to find the value of c:b.Using the ratio, we can represent a, b, and c in the form of 20x, 35x, and 15x respectively, where x is a common factor.So, we have: a = 20x, b = 35x, and c = 15x.The value of c:b can be obtained by dividing c by b. Therefore,c : b=15x/35x=3/7Therefore, the value of c:b is 3:7.
The calculated value of the ratio c : b is 3 : 7
How to calculate the value of c : bFrom the question, we have the following parameters that can be used in our computation:
a : b : c = 20 : 35 : 15
Using the above as a guide, we have the following:
a = 20
b = 35
c = 15
So, we have
c : b = 15 : 35
Divide the ratio by 5
c : b = 3 : 7
Hence, the value of c : b is 3 : 7
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what additional information is required to prove triangle ABC congruent to triangle DCB by hypotenuse-leg?
Answers
The correct option is 3.
Step-by-step explanation:
The HL theorem states that 'if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.'
From the given figure it is noticed that triangle ABC and triangle EDC. In triangle ABC and triangle EDC, hypotenuses of triangles are AB and DE respectively.
To use HL hypotenuse and one leg of triangles must be equal.
AB=DE (hypotenuse)
AC=DE (leg)
BC=ED (leg)
Therefore the additional information will allow you to prove the triangles congruent by the HL Theorem. Option 3 is correct.
(PLEASE HELPPPP 80 points)What is the measure of Zx?
Angles are not necessarily drawn to scale.
B
А
С
730
0
Answers
Answer:
The measure of angle X is 17
Step-by-step explanation:
This is a right triangle that is equal to 90 degrees
Step-by-step explanation:
I think B angle is not necessary to draw scale.
Thanks.
Your answer is 17.
A shipping company handles rectangular boxes provided the sum of the height and the girth of the box does not exceed 96 in. (The girth is the perimeter of the smallest side of the box.) Find the dimensions of the box that meets this condition and has the largest volume.
Answers
The box with dimensions 16" x 16" x 32" has the largest volume and meets the given condition.
How to determine the dimension of boxTo maximize the volume of the rectangular box, you need to use the constraint that the sum of the height (h) and girth (g) does not exceed 96 inches.
Girth is the perimeter of the smallest side of the box, which can be expressed as g = 2(l + w), where l is the length and w is the width of the box.
Since h + g ≤ 96, we can rewrite the inequality as h + 2(l + w) ≤ 96.
Then, solve for h: h = 96 - 2(l + w).
The volume of the box is V = lwh.
Substitute h in the volume equation:
V = lw(96 - 2(l + w)).
To maximize the volume, use calculus by taking the partial derivatives of V with respect to l and w, and set them equal to zero.
After solving the system of equations, you'll find the dimensions l = 16 inches, w = 16 inches, and h = 32 inches.
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Stacy's class went on a field trip to the aquarium, where Stacy counted the number of fish in 10 schools that swam by: 45 fish 47 fish 46 fish 44 fish 47 fish 43 fish 43 fish 44 fish 47 fish 45 fish What was the range of the sizes of a school?
Answers
Given :
the number of fish in 10 schools that swam by:
45 , 47 , 46 , 44 , 47 , 43 , 43 , 44 , 47 , 45
so, the minimum = 43
And the maximum = 47
so, Range = maximum - minimum = 47 - 43 = 4
Find the slope of the line passing through the points (-6, -5) and (4,4).
Answers
Answer:
9/10 or 0.9
Step-by-step explanation:
Slope of a line passing through two points (x1, y1) and (x2, y2) is given by
Slope m = rise/run
where
rise = y2 - y1
run = x2 - x1
Given points (- 6, - 5) and (4, 4),
rise = 4 - (-5) = 4 + 5 = 9
run = 4 - ( - 6) = 4 + 6 = 10
Slope = rise/run = 9/10 or 0.9
What is (5 x 1,000,000) (6 x 100,000) (4 x 10,000) (8 x 1,000) (3 x 100) (2 x 10) (4 x 0.1) (9 x 0.001) in standard form?
Answers
The standard form of the given numbers is 207360 × 10¹⁷.
What is a number system?The number system is a way to represent or express numbers.
A decimal number is a very common number that we use frequently.
Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.
Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.
Given the numbers is (5 x 1,000,000) (6 x 100,000) (4 x 10,000) (8 x 1,000) (3 x 100) (2 x 10) (4 x 0.1) (9 x 0.001)
Now standard form means we need to write the exponents form.
So,
5 x 6 x 4 x 8 x 3 x 2 x 4 x 9 = 207360
And
1,000,000 x 100000 x 10000 x 1000 x 100 x 10 x 0.1 x 0.001 = 10¹⁷
So, combine 207360 x 10¹⁷
Hence "The standard form of the given numbers is 207360 × 10¹⁷".
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Factorise x cube -2x square -5x plus 6
Answers
Answer: {(x + 2), (x - 1), (x - 3)}
Step-by-step explanation:
Presented symbolically, we have:
x^3 - 2x^2 - 5x + 6
Synthetic division is very useful for determining roots of polynomials. Once we have roots, we can easily write the corresponding factors.
Write out possible factors of 6: {±1, ±2, ±3, ±6}
Let's determine whether or not -2 is a root. Set up synthetic division as follows:
-2 / 1 -2 -5 6
-2 8 -6
-----------------------
1 -4 3 0
since the remainder is zero, we know for sure that -2 is a root and (x + 2) is a factor of the given polynomial. The coefficients of the product of the remaining two factors are {1, -4, 3}. This trinomial factors easily into {(x -1), (x - 3)}.
Thus, the three factors of the given polynomial are {(x + 2), (x - 1), (x - 3)}
What does the graph of a geometric sequence look like?
Answers
here is one I hope this helps lol I'll follow u if u follow me
Prove that if five cards are randomly chosen from an ordinary 52- cards deck, at least two cards are of the same suit.
Answers
If five cards are randomly chosen from a standard deck of 52 cards, it can be proven that at least two of the cards will be of the same suit.
To prove this statement, we can use the pigeonhole principle. A standard deck of 52 cards consists of four suits: hearts, diamonds, clubs, and spades, with each suit containing 13 cards. When five cards are chosen randomly, we can think of each card as a pigeon, and the four suits as pigeonholes. Since we have more pigeons (cards) than pigeonholes (suits), by the pigeonhole principle, there must be at least two pigeons (cards) in one of the pigeonholes (suits).
Now, let's consider the worst-case scenario where the first four cards chosen belong to four different suits. In this case, we have four pigeons (cards) distributed among the four pigeonholes (suits). When we choose the fifth card, no matter which suit it belongs to, it will necessarily match the suit of one of the previously chosen cards. Thus, there will always be at least two cards of the same suit among the five randomly chosen cards from a standard deck.
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If n ∥ m, which of the following statements are true? Select all that apply.
Answers
Answer:
c
Step-by-step explanation:
becuase 20+60 is 80
Please help me I need help
If the diameter of a circle is doubled, the circumference of the new circle is..
A. 1/4 of the circumference of the original circle
B. 1/2 of the circumference of the original circle
C. The same as the circumference as the original circle
D. 2 times the circumference of the original circle
E. 4 times the circumference of the original circle
Answers
Answer:
D
Step-by-step explanation:
Let's call the original diameter x. Then, the circumference would be xπ. If the diameter is 2x, the circumference is 2xπ. 2xπ / xπ = 2 so the answer is D.
Answer:
D. 2 times the circumference of the original circle
Step-by-step explanation:
The circumference of a circle is represented by the formula C = 2(r)pi (where is r is the radius), which can also be written as C = (d)pi, where d is the diameter, (since 2r is equivalent to d). If the diameter is doubled, the original equation can be rewritten as C = 2(d)pi. Therefore, the circumference of the new circle is double the original circle.
You can plug in a sample number to further prove this point. Pretend r = 3 so d = 6. C = 6pi. Now when the diameter is doubled, d = 12 and C = 12pi which is double 6pi.
So the answer is D. 2 times the circumference of the original circle
The mean of six numbers is 10. When
mother number is added the new mean is
9. Find the number added.
Answers
Answer:
3
Step-by-step explanation:
If 6 numbers have a mean value of 10, it means that the sum of the numbers divided 6 is equal to 10. This can be expressed as:
x÷6=10
x=60
The new number added will be the 7th number and now the mean is 9. You have to ask what number divided by 7 is equal to 9? This can be expressed as:
y÷7=9
y=63
63-60=3
So the new number added is 3
Answer:
3
Step-by-step explanation:
Mean is calculated as
mean = \(\frac{sum}{count}\)
Given the mean of 6 numbers is 10, then
\(\frac{sum}{6}\) = 10 ( multiply both sides by 6 )
sum = 60
When another number x is added then count is 7
\(\frac{60+x}{7}\) = 9 ( multiply both sides by 7 )
60 + x = 63 ( subtract 60 from both sides )
x = 3 ← the number added
btw Zarahs office is 2cm wide and 4 cm long
Answers
The statement the office is twice as large as Zarah's office is inappropriate, from the calculation it was solved to be that the office is 4 x Zarah's office
Given data
Zarah's office is 2 cm wide and 4 cm long
Another office is 8 cm long and 4 cm wide
How to solve for the size of the officesArea of an office = length * width = long * wide
Area of Zarah's office = 4 cm * 2 cm = 8 cm2
Area of another office = 8 cm * 4 cm = 32 cm2
comparing the two areas
say by how much is 32 cm2 greater than 8 cm2
32 cm2 / 8 cm2 = 4
The statement the office is twice as large as Zarah's office is inappropriate, from the calculation it was solved to be that the office is 4 x Zarah's office.
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3 12. DIG DEEPER There are 4 cups of iced tea. Is it possible for you and your friend to share the tea equally? If so, how much do you each get? If not, explain why not. 5 MTR Use Another Concept How can equivalent fractions help you solve? C
Answers
It Is possible for you and your friend to share the iced tea equally. Each of you gets two cups each.
Equivalent fraction can help solve the problem. 4/2 = 2/1
How much do you each get?Number of cups of iced tea = 4
Number of people sharing iced tea = 2(you and your friend)
Number of cups each person gets = Number of cups of iced tea / Number of people sharing iced tea
= 4/2
= 2 cups of iced tea per person.
The fraction is 4/2 which is equivalent to 2/1
Ultimately, each person can get two cups of iced tea each.
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please Help me, please :)
Answers
Answer:
i believe the answer to this is (C)
Step-by-step explanation:
b) Find the value of 2a2 + 5b2 when a = -6 and b = 2
Answers
Answer:
-4
Step-by-step explanation:
2a2+5a2
2(-6)2=-24
5(2)2=20
-24+20=-4
Answer: -4
Step-by-step explanation:
(2x-6×2)(5×2×2)
-24+20
-4
Mr. White is renting an medium truck for one week and a few additional days d. He does not have to pay a per mile fee. Evaluate the expression 421 + 130d to find how much he will pay for a 12-day rental.
Answers
Answer:
1,981
Step-by-step explanation:
Total rental cost = 421 + 130d
d = 12
Total rental cost = 421 + 130(12)
= 421 + 1,560
= 1,981
He will pay a total of 1,981 for a 12-day rental.
help plzzzzz! I'll give 30 points
Answers
Answer:
c
Step-by-step explanation:
the half life of a radioactive substance is the time it takes for a quantity of the substance to decay to half of the initial amount . The half-life of the radioactive gas radon is approximately 3.8 days. The initial amount of radon used in an experiment is 75 grams. if N represents the number of grams of radon remaining t days after the start of the experiment,
a. Write an equation that gives N in terms of t.
b. How much gas radon approximately remains after 3.8 days?
c. approximately when will the amount of radon remaining be 10 grams?
Answers
Using an exponential function, it is found that:
a) \(N(t) = 75(0.5)^{\frac{t}{3.8}}\)
b) 37.5 grams of the gas remains after 3.8 days.
c) The amount remaining will be of 10 grams after approximately 11 days.
What is an exponential function?A decaying exponential function is modeled by:
\(A(t) = A(0)(1 - r)^t\)
In which:
A(0) is the initial value.r is the decay rate, as a decimal.Item a:
We start with 75 grams, and then work with a half-life of 3.8 days, hence the amount after t daus is given by:
\(N(t) = 75(0.5)^{\frac{t}{3.8}}\)
Item b:
This is N when t = 3.8, hence:
\(N(t) = 75(0.5)^{\frac{3.8}{3.8}} = 37.5\)
37.5 grams of the gas remains after 3.8 days.
Item c:
This is t for which N(t) = 10, hence:
\(N(t) = 75(0.5)^{\frac{t}{3.8}}\)
\(10 = 75(0.5)^{\frac{t}{3.8}}\)
\((0.5)^{\frac{t}{3.8}} = \frac{10}{75}\)
\(\log{(0.5)^{\frac{t}{3.8}}} = \log{\frac{10}{75}}\)
\(\frac{t}{3.8}\log{0.5} = \log{\frac{10}{75}}\)
\(t = 3.8\frac{\log{\frac{10}{75}}}{\log{0.5}}\)
\(t \approx 11\)
The amount remaining will be of 10 grams after approximately 11 days.
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Elise is making 42 chocolate ice cream sundaes. The number of quarts of ice cream she needs is directly proportional to the number
of people served. Suppose it takes 3 quarts of ice cream to serve 18 people. Which statements are correct for this situation?
es )
Answers
Answer:
75
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
34x +7y - 45x + 2y - 12x
Answers
Combining like terms: -23x + 9y
I don’t know if you need it simplified or not but here is the simplified form
pls help me with this:((((
Answers
Answer:
See image
Step-by-step explanation:
Use y = mx + b called the slope-intercept form of the equation because you can pick the slope and also the y-intercept right off this equation. If you know what to look for, the information is just right there waiting for you to see it.
The m is the slope, that is the number in front of the x.
The b is the y-intercept, that is the number added on at the end of the equation.
Simplify 24 - 15 - 3+ 2.6.
O A. 30
O B. 31
O C. 126
O D. 15
Answers
Answer:
D
Step-by-step explanation: