Given data:
The given expression is 2x-1=5x.
The given equation can be written as by subtracting 2x fom both sides.
\(\begin{gathered} (2x-1)-2x=5x-2x \\ -1=3x \end{gathered}\)Thus, equation B can be obtained from A by add/subtract the same quantity to/from both sides, so option (A) is correct.
find the values of variables, then find the lengths of the sides of each quadrilateral
The variables are as follows:
x = 4
y = 4.8
The lengths of the sides of the kites are 4.5 and 6.8 units.
How to find the side of a kite?A kite is a quadrilateral with 2 pairs of consecutive congruent sides. The diagonals are perpendicular in a kite.
The non vertex angles are congruent.
Therefore,
x + 0.5 = 2x - 3.5
2x - x = 0.5 + 3.5
x = 4
y + 2 = 2y - 2.8
2y - y = 2 + 2.8
y = 4.8
Hence,
length of one pair = 4 + 0.5 = 4.5 units
length of the other pair = 4.8 + 2 = 6.8 units
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The following is a list of costs that were incurred in producing book:
a. Insurance on the factory building and equipment
b. Salary of the vice president of finance
c. Hourly wages of printing press operators during production
d. Electricity used to run the presses during the printing of the Book.
e. Sales commissions paid to book representatives for each book sold
f. Paper on which the text is printed
g. Book covers used to bind the pages
h. Straight-line depreciation on an office building
i. Salaries of staff used to develop artwork for the text
j. Glue used to bind pages to cover
Instructions: With respect to the manufacture and sale of this text, classify each cost as either a product cost or a
period cost. Indicate whether each product cost is a direct materials cost, a direct labor cost, or a factory overhead
cost. Indicate whether each period cost is a selling expense or an administrative expense.
-7°C; climbs 12° new temperature
A pizza parlor charges $9.25 for a large pizza, plus $0.80 for each additional topping. Which equation correctly reflects the relationship between the number of toppings and the total cost of a large pizza?
y = 9.25x + 80
y = 80x + 9.25
y = 9.25x + 0.8
y = 0.8x + 9.25
Answer:
c because you dont need the extra zero on the 8
(-9, -5) and (-1, -9)
Find the midpoint of the segment with the following endpoints.
Answer:
Midpoint = (-5,-7)Step-by-step explanation:
\(Midpoint =\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(-9,\:-5\right),\:\\\left(x_2,\:y_2\right)=\left(-1,\:-9\right)\\\\Midpoint=\left(\frac{-1-9}{2},\:\frac{-9-5}{2}\right)\\\\Midpoint = (\frac{-10}{2} , \frac{-14}{2})\\ \\Simplify\\\\Midpoint=\left(-5,\:-7\right)\)
Mina is an active learner. Her word list has increased from 57 919 words to 90 941 words over the past few years. What is the difference of 90 941 and 57 919 rounded to the nearest ten?
Answer:
33
Step-by-step explanation:
90.941 - 57.919 is 33.022. 33.022 rounded to the nearest 10th is 33.
Jia sells duck eggs. A customer buys 4 cartons. There are 6 eggs in
each carton. How many eggs does the customer buy in all?
Answer:24
Step-by-step explanation:
If Jia sells duck eggs and a customer buys 4 cartoons and there are 6 eggs in each cartoon that means 6(4)=Number of eggs customer buys in all
One cartoon= 6 eggs
Two cartoon = 12 eggs
Three cartoon = 18 eggs
Four Cartoon = 24 eggs
So the Customer buys 24 eggs in all
Select all the shapes that are cross sections of a cylinder.
A line
B oval
C triangle
D rectangle
E circle
Step-by-step explanation:
only the circle
as cylinder is neither oval nor triangle not a rectangle..
so cylinder has circle as the cross section
Answer:
This is for a different question but hope this helps too!
Step-by-step explanation:
Can y’all please answer 2(x-1)+4(3+x)
Answer:
6x - 10
Step-by-step explanation:
2(x - 1) + 4(3 + x)
use distributive property, as in just multiply
2x - 2 + 12 + 4x
rearrange to make it easier
2x + 4x - 2 + 12
simplify
6x - 10
Help help help ASAP
Answer:
The answer is C
Step-by-step explanation:
A trend line should attempt to be in the middle of the data points not above them. If it does not do as staed above, it is NOT a correct trend line.
Have an amazing day!
PLEASE RATE!!
20 pts if you answer 23 AND 24.
Find the 19th term in the geometric sequence, the first term being a=4 and the common ratio being r=2
The 19th term of a geometric sequence is 1048576.
What is a geometric sequence?A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.
We have,
a = 4 and r = 2
The nth term of a geometric sequence.
= a\(r^{n-1}\)
Now,
The 19th term of a geometric sequence.
= a\(r^{n-1}\)
Substituting a and r values.
= 4 x \(2^{19 - 1}\)
= 4 x \(2^{18}\)
= 4 x 262144
= 1048576
Thus,
The 19th term of a geometric sequence is 1048576.
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A tank in the shape of a hemisphere with a radius r = 13 ft is full of water to a depth of 11 ft. Set up the integral that would find the work W required to pump the water out of the spout. Use the location of the origin and the direction of the positive axis as specified in the different parts. hemisphere
Note: Use 62.5 lb/ft^3 as the weight of water.
a. The origin is at the top of the tank with positive y variables going down.
b. The origin is at the bottom of the tank with positive y-values going up.
Answer:
(a). The integral is \(W=62.5\pi\int_{0}^{11}(169-y^2)ydy\)
(b). The integral is \(W=62.5\pi\int_{0}^{11}{48+22y-y^2(11-y)}dy\)
Step-by-step explanation:
Given that,
Radius = 13 ft
Depth = 11 ft
Weight of water = 62.5 lb/ft³
(a). The origin is at the top of the tank with positive y variables going down.
We need to calculate the volume of the strip
Using formula of volume
\(dV=\pi r^2dy\)
Put the value into the formula
\(dV=\pi(\sqrt{13^2-y^2})^2dy\)
\(dV=\pi({169-y^2})dy\)
We need to calculate the mass of the strip
Using formula of mass
\(W=\rho dVgy\)
Put the value into the formula
\(W=\pi({169-y^2})dy\times62.5\ y\)
We need to calculate the work done to pump the water out of the spout
Using formula of work done
\(W= \int_{0}^{11}(\pi({169-y^2})dy\times62.5\ y)\)
\(W=62.5\pi\int_{0}^{11}(169-y^2)ydy\)
(b). The origin is at the bottom of the tank with positive y-values going up
We need to calculate the volume of the strip
Using formula of volume
\(dV=\pi r^2dy\)
Put the value into the formula
\(dV=\pi(\sqrt{13^2-(11-y)^2})^2dy\)
\(dV=\pi(169-(121-22y+y^2))dy\)
\(dV=\pi(169-121+22y-y^2)dy\)
\(dV=\pi(48+22y-y^2)dy\)
We need to calculate the mass of the strip
Using formula of mass
\(W=\rho Vg\)
Put the value into the formula
\(W=dV\rho g(11-y)\)
\(W=\pi(48+22y-y^2)dy\rho g(11-y)\)
\(W=62.5\pi(48+22y-y^2)(11-y)dy\)
We need to calculate the work done to pump the water out of the spout
Using formula of work done
\(W=\int_{0}^{11}{62.5\pi(48+22y-y^2)(11-y)dy}\)
\(W=62.5\pi\int_{0}^{11}{48+22y-y^2(11-y)}dy\)
Hence, (a). The integral is \(W=62.5\pi\int_{0}^{11}(169-y^2)ydy\)
(b). The integral is \(W=62.5\pi\int_{0}^{11}{48+22y-y^2(11-y)}dy\)
A sculptor chisels away at the marble to make a pyramid with the same base dimensions but one-fourth the volume of the original prism. What is the height of the pyramid?
A. 2 cm
B. 4 cm
C. 6 cm
D. 96
do you know the coordinate plane
Want Brainliest get this correct What is the sum of the fractions below?
Are the given lines parallel? Explain your reasoning.
3. y = 2, y = -4
List several figures other than rectangles that tessellate the plane using translations
Answer:
A
Step-by-step explanation:
I need help, please, I didn't understand you very well.
Answer:
30
Step-by-step explanation:
Answer: 30
Step-by-step explanation:
Use Pythagorean theorem a^2 + b^2 = c^2:
18^2 + 24^2 = c^2
324 + 576 = c^2
900 = c^2
c = 30
What percentage of the local shares in marks brothers is not accounted in the pie chart
Answer:
is answer is 5% percentage
5. Given an arithmetic sequence, Tn, the sum of the third and fourth terms is 167 and T21 = -4. Determine the value of the constant difference and hence find the general term, T- (6)
The arithmetic sequence's fifth term is therefore 84.
How can you determine the value of n in the sum of an arithmetic sequence?An arithmetic sequence's nth term is determined by a = a + (n - 1)d. So, enter the values a = 2 and d = 3 into the formula to determine the nth term.
The formula to determine the nth term of an arithmetic series is a = a1 + (n - 1)d if a1 is the first term and d is the common difference.
In the mathematical sequence, 84 is the fifth term.
The process for calculating value
An arithmetic sequence's nth term can be calculated using the following formula:
Tn = a + (n -1)d
Where;
First term is a.
N words are present.
d is the typical difference
We must substitute nas 5's value in order to find the fifth term.
T5 = 4 + (5-1) 20
T5 = 4 + 4(20) (20)
the bracket be expanded
T5 = 4 + 80
T5 = 84
The arithmetic sequence's fifth term is therefore 84.
The complete question is,
4 is the initial term and 20 is the constant difference in an arithmetic series. Discover the sequence's sixth phrase.
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A buyer wants to purchase a home priced at $100,000. The lender appraises the house at
$90,000 and agrees to make an 80% loan-to-value loan. How much cash MUST the buyer put
down to get the house?
Answer:
60,000
Step-by-step explanation:
Find the rate of change from the table.
Helppp
Answer:
Step-by-step explanation:
I think it will be
10-² =
Exponential form
Answer:
Step-by-step explanation:
the answer is 0.01
The base of the exponential form is 10 and the power is -2 therefore the answer is 0.01 if the power was 2 the answer would have been 100
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Find the derivative of: 3x^5+5x^9
Answer:
\(\dfrac{\text{d}y}{\text{d}x} =15x^4+45x^8\)
Step-by-step explanation:
\(\boxed{\begin{minipage}{4.8 cm}\underline{Differentiating $ax^n$}\\\\If $y=ax^n$, then $\dfrac{\text{d}y}{\text{d}x}=nax^{n-1}$\\\end{minipage}}\)
\(\textsf{Differentiate $y$ with respect to $x$}:\)
\(\begin{aligned}y & = 3x^5+5x^9\\\\\implies \dfrac{\text{d}y}{\text{d}x} & = 5 \cdot 3x^{5-1}+9 \cdot 5x^{9-1}\\\\& = 15x^4+45x^8\end{aligned}\)
\(\textsf{Therefore, the derivative of $y$ with respect to $x$ is: $\dfrac{\textrm{d}y}{\textrm{d}x} =15x^4+45x^8$}\)
A card is drawn from a deck of 52 cards. Find the probability of drawing a black card.
14) Find the probability of drawing a red card.
15) Find the probability of drawing a red or black.
16) Find the probability of drawing an ace.
17) Find the probability of drawing either a jack or queen or king.
Answer: See below
Step-by-step explanation:
14) 26/52 of the cards are red, 1/2
15) All of the cards are red or black, 1/1
16) 4/52 of the cards are aces, 1/13
17) 12/52 of the cards are J/Q/K, 3/13
Convert the fractions to whatever unit is needed.
Answer:
14) 26/52
15) 52/52
16) 4/52
17) 24/52
Step-by-step explanation:
Select the correct answer from each drop-down menu. The inequality 5m − 7 > 16 holds true for all numbers _ than _ in the set {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.
The values of {m} that is greater than 4.6 represent the solution of the given inequality.
An inequality is used to compare two or more expressions or numbers.
For example -
2x > 4y + 3
x + y > 3
x - y < 6
The given inequality is -
5m - 7 > 16
Adding 7 on both sides, we get -
5m - 7 + 7 > 16 + 7
5m > 23
m > 23/5
m > 4.6
Therefore, the values of {m} that is greater than 4.6 represent the solution of the given inequality.
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8. 3x + 5 > 16, x is an integer. Find
the smallest value of x.
9514 1404 393
Answer:
4
Step-by-step explanation:
Undo what is done to x.
3x > 11 . . . . . subtract 5
x > 11/3 = 3 2/3 . . . . divide by 3
The smallest value of x is 4.
o buy a car for $36,000, Stacy uses her credit card which charges 20% interest and borrows
the rest from an online bank that charges 4.5% interest. If she pays $2178 in interest the first
year, how much did she put on the credit card?
Answer:
+38000
Step-by-step explanation:
The initial deposit of money from credit card is $3,600.
What is the Interest rate?
The amount a lender charges a borrower and is a percentage of the principal—the amount loaned, is called the Interest rate.
Total money to buy a car = $36,000
Interest rate for credit card money = 20%
Interest rate for online bank money = 4.5%
Total interest = $2,178
Now, Let Stacy pay money from credit card deposit = $ x
And, Let Stacy pay money from online bank = $ y
Then, Total money to buy a car = (x + y) = $36,000 ........ (i)
Since, Interest = Principal amount x Rate x Time / 100
Total interest = $2,178
⇒ x * 20 * 1 /100 + y * 4.5 * 1 /100 = 2,178
⇒ 20x + 4.5y = 2,178,00 ........... (ii)
Equation (ii) - 20 x equation (i), we get;
⇒ y = $32,400
From (i), x = 36,000 - 32,400
x = $3,600
Hence, The initial deposit of money from credit card is $3,600.
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Pls help me pls i will mark brainliest
Answer:
The line cannot be extended to any point since we are trying to graph a zero that is equivalent to absolutely nothing
Step-by-step explanation:
choose as brainliest