The answer is [14, 42].
The number 14 is even.
7 x 2 = 14
An even number, 42.
7 x 6 = 42
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On a coordinate plane, the position of two friends can be defined by the points A(1,3) and B(7,6). Their teacher is standing at point C, the teacher’s distance from point A is twice the distance from Point B. What are the coordinates of point C?
A.) (5,5)
B.) (-5,5)
C.) (4, 9/2)
D.) (8/3, 3)
Please show work if possible!
The coordinate of point C will be (5, 5). Then the correct option is A.
What is the section of the line?Let A (x₁, y₁) and B (x₂, y₂) be a line segment. Then the point P (x, y) divides the line segment in the ratio of m:n. Then we have
x = (mx₂ + nx₁) / (m + n)
y = (my₂ + ny₁) / (m + n)
On a direction plane, the place of two companions can be characterized by the focuses A(1,3) and B(7,6). Their instructor is remaining at point C, and the educator's separation from point An is two times the separation from Point B.
The ratio is given as 2:1.
x = (7 × 2 + 1 × 1) / (2 + 1)
x = 15 / 3
x = 5
y = (6 × 2 + 1 × 3) / (2 + 1)
y = 15 / 3
y = 5
The coordinate of point C will be (5, 5). Then the correct option is A.
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NUMBER SENSE Your Spanish club wants to order 29 hooded sweatshirts that cost $31 each. Explain how you can use
the polynomial identity (a + b)(a - b) = a²-b² and mental math to find the total cost of the hooded sweatshirts.
The total cost of the hooded sweatshirts will be 29 × 31 = $899.
What is multiplication?Multiplication is the general procedure in mathematics in which we multiply two or more numbers by each other to find a new multiplied number.
Multiplication gives us a resultant number that will be very big as compared to the number which is going to be multiplied if and only if the number which is going to be multiplied is more than one.
As per the given,
Number of hooded sweatshirts = 29
Cost of one hooded sweatshirt = $31
Total cost = 29 × 31 = $899.
Hence "The total cost of the hooded sweatshirts will be 29 × 31 = $899".
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Ken spends $344.76 before tax at a hardware store. If the sales tax rate in his city is 7.5%, what is the total cost of his purchase? Round to the nearest cent if necessary.
Answer:
$318.90
Step-by-step explanation:
Turn the percent into a decimal and multipy it by 344.76
0.075 × 344.76 = 25.857
after you get your answer you subtract 344.76 and 25.857
$344.76 - 25.857 = $318.903
round you answer to the nearest cent
= $318.90
Write the expression as a power and evaluate it. 8•2^7 and 16•32
The expression as a power is ____
The expression as a power is 2^10 and 2^9
What is index form?Index form of a number can be defined as the number that is written in the form of an exponential expression.
It is also described as a single number that is raised to another variable or number.
It is important to note the following index forms with base of 2, we have;
2^1 = 22^2 = 42^3 = 82^4 = 162^5 = 322^6 = 64We have the expression as;
8•2^7
Substitute the values
2^3 . 2^7
Add the powers
2^3 + 7
2^10
16•32
Substitute the values
2^4 . 2^5
Add the powers
2^ 4 + 5
2^9
The expression is written as; 2^ 10 and 2^9
Hence, the values are 2^10 and 2^9
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5. Mary wants to make several aluminum cups like the one below. She is going to cut them from a sheet of aluminum that has an area of 3,750 in². How many complete cups will she be able to make?
Answer:
50 aluminium cups maybe win 3750
Start Fraction w superscript 12 baseline over w superscript 18 baseline End Fraction
A. w30
B. w–30
C. w6
D. w–6
Answer:
answer should be d
Step-by-step explanation:
it's d because if u fraction 6 u will get d
In need of help!!!!
Jack want to build sheds near his house, so he's taking sand from his house to the garden. It take 3/4 of an hour to move the sand from his house to the garden, which fills one fourth of the shed.
What is the rate at which Mr. Lozano is moving sand per hour?
The rate at which Mr. Lozano is moving sand per hour is one third of sand that could fill the area
How to find the rate at which Mr Lozano/Jack is moving sand per hourThe problem is rate of work and will be solved by comparing the data given
Mr Lozano take 3/4 of an hour to move the sand from his house to the garden, which fills one fourth of the shed, hence
3/4 = 0.75, and one fourth = 1 / 4 = 0.25
if in 0.75 hour Mr Lozano will fill 0.25 of the shed how many will he fill in 1 hour
0.75 hour = 0.25
1 hour = ?
cross multiplying gives
0.75 * ? = 0.25 * 1
? = 0.25 / 0.75
? = 0.3333
? = 1 / 3
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Henry invested $1500 into an account that pays 2% interest compounded annually.
How much money will Henry have at the end of 3 years?
Enter your answer in the box. Round to the nearest hundredth.
The compound interest is obtained as $91.81, rounded off to the nearest hundredth.
How is compound interest estimated annually?In order to compute compound interest, multiply the principle of the original loan by the annual interest rate multiplied by the number of compound periods minus one. You will then be left with the principal amount of the loan plus compound interest. The entire compound interest is then obtained by deducting the initial principal.
The equation that results will look like this:
Compound Interest = [tex]P(\left(1+r\right)^{ t}-1)[/tex]
Amount, rate of interest and time is given as $1500, 2% and 3 years respectively.
First, change r as a percent to r as a decimal.
r = R/100
r = 2/100
r = 0.02 rate per year,
Then solve the equation for compound interest.
[tex]\text{Compound Interest}=1500(\left(1+0.02\right)^{3}-1)\\=1500(1.061208-1)\\=15000\cdot 0.061208\\\\=91.81[/tex]
So, the compound interest is obtained as $91.81, rounded off to the nearest hundredth.
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Answer: its 1591.81
Step-by-step explanation:
I took the test and tried with the answer on top and got it wrong.
Help a lot of points if u answer this fast but correct
Answer: ZYH
PLEASE GIVE BRAINLIEST THANK YOU VERY MUCH!!!
A bacteria culture initially contains 2500 bacteria and doubles every half hour.
Find the size of the bacterial population after 20 minutes.
Find the size of the bacterial population after 8 hours.
A school is arranging a field trip to the zoo. The school spends 643.34 dollars on passes for 36 students and 2 teachers. The school also spends 339.48 dollars on lunch for just the students. How much money was spent on a pass and lunch for each student?
$
40 POINTS
By taking some simple quotients, we will see that the cost per student is:
$26.36
How much money was spent on a pass and lunch for each student?First, we know that the school spends $643.34 on passes for 38 people, then the cost of each pass is given by the quotient:
p = $643.34/38 = $16.93
Then there is also lunch for the 36 students, which costed $339.48, then the cost in lunch per student is.
l = $339.48/36 = $9.43
The total cost per student is:
$16.93 + $9.43 = $26.36
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If its 50 degrees outside and it drops 70 degrees, how cold will it get?. (Please give steps also..)
Answer:
Step-by-step explanation:
50
Do you think the blue dot represents the y-intercept of this line? Why or why not?
Answer:
No, the point is on the x-axis, it is not a y-intercept.
Describe another way you could have solved the equation. Tell which of these two ways of solving the equation you prefer and why.
In the equation given 2[(4m * 3.5) / 400] = 171.5, m has a value of 2450.
EquationsEquations are mathematical statements containing two algebraic expressions on both sides of an equal to sign. This can be expressed as the relationship of equality between the expression written on the left side with the expression written on the right side. Equations can be solved to find the value of an unknown variable representing an unknown quantity. If there is no 'equal to' symbol in the statement, it means it is not an equation. It will be considered as an expression.
In the equation given;
2[(4m * 3.5) / 400] = 171.5
We can find the value of m by applying changing the subject of formula
2[(4m * 3.5) / 400] = 171.5
28m / 400 = 171.5
28m = 400 * 171.5
28m = 68600
m = 68600 / 28
m = 2450
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Mary Granola consumes tomatoes and nectarines. Mary's indifference curves are kinky. When she is consuming more tomatoes than nectarines, she is just willing to trade 3 tomatoes for 1 nectarines. When she is consuming more nectarines than tomatoes, she is just willing to trade 4 nectarines for 1 tomatoes. Let P₁ be the price of nectarines and P₂ the price of tomatoes. Mary maximizes her utility subject to her budget constraint. Which is true? (Hint: Sketch one of her indifference curves.)
When P₁ >3P₂ she must consume only tomatoes.
What are indifference curves ?
An indifference curve is a graph that illustrates numerous pairings of two goods or commodities that leave the customer equally well off or satisfied—hence indifferent—when it comes to owning any pairing of the two items that is represented along the curve.
Mary do trading 3 tomatoes for 1 nectarine.
So, MRS=3
P₁ >3P₂
P₁/P₂ > 3
P₁/P₂ < -3
This satisfies MRS=3
P₁ >3P₂ shows budget constraint
consumer specializes in tomatoes consumption.
if P₂ > 4 P₁ , consumer specializes in nectarine consumption. option is not there.
So, When P₁ >3P₂ she must consume only tomatoes.
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help me pleasseeee please help please help urgent
Answer: number 3
explanation: I took the
Represent the following expressions as a power of the number a where a ≠ 0.: (a^3)^-2
1/[tex]a^{6}[/tex] is the required number.
What is an expression?Numbers, symbols and operators (such as and times) grouped together that show the value of something.
Given an expression (a³)^-2
(a³)^-2 = [tex]a^{-6}[/tex] = 1/[tex]a^{6}[/tex]
Hence, 1/[tex]a^{6}[/tex] is the value of the expression (a³)^-2
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Evaluate the Laplace transform of L[(sin 2t-cos 2t)^2]
The Laplace transform of the given integral function is 1/s +4 / (s²+16) .
The integral transform, commonly known as the Laplace transform in mathematics, converts a function of either a real variable t in the time domain into a function of something like a complex variable s.
The Laplace transform is equal to the integral for the suitable functions
[tex]{\displaystyle {\mathcal {L}}\{f(t)\}(s)=\int _{0}^{\infty }f(t)e^{-st}\,dt.}[/tex]
Now we will use this to find the suitable Laplace transform of the trigonometric function:
(sin 2t-cos 2t)²
= sin² 2t + cos² 2t - 2sin 2tcos 2t
= 1 - sin 4t
Now we will use the Laplace transform of the function.
L [1 - sin 4t] = L[1] - L[sin 4t]
Now L[1] = 1/s
L[sin 4t] = 4/ (s²+4²) = 4 / (s²+16)
Hence the Laplace transform will be
L [1 - sin 4t] = 1/s +4 / (s²+16)
Pierre-Simon Laplace invented the complex frequency domain, often known as the s-domain or the s-plane. There are numerous uses for the transform, a method for solving differential equations, in both science and engineering.
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What is the CLOCKWISE equivalent to a CLOCKWISE rotation by an angle of 62,000 degrees?
The number of rotations is 172.
Explain rotationRotation is a circular movement about the specific axis or point of rotation. The two most prevalent directions for rotation are clockwise and counterclockwise, or anti-clockwise.
Rotation simply means going around a central point. Any point on the shape has a constant distance from the center.
Given, the clockwise rotation is by 62,000°.
To find the number of rotation (n),
[tex]n = \frac{62000}{360}[/tex]
n = 172.2
Therefore, the number of rotations is 172.
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Identify the property that justifies each step asked about in the answer area below.
Answer:
Commutative Property of Addition2. Distributive propertyStep-by-step explanation:Given[tex]Line 1: 4(8+9x)
There are 3 trees in your neighbor's yard. Each tree in the yard has 2 birdhouses and each birdhouse has 4 birds. How many birds are
there in all?
Which of the three triangles below can be proven congruent by SSS or SAS
Answer:
The answer for number 7 is A
Step-by-step explanation:
I hope this helps
What is the greatest integer solution 5 - 3m > -10
Answer:
4
Step-by-step explanation:
5-3m>-10
-5. -5
-3m>-15
/-3. /-3
m<5
so 4 is the highest integer since 4 is less than 5
Hopes this helps please mark brainliest
It takes a word processor 45 minutes to word process and spell check 12 pages. Find how long it takes her to word process and
spell check 40 pages.
It takes the word processor
minutes.
Answer: the correct answer is 150 minutes for 40 pages.
Step-by-step explanation:
It takes a word processor 45 minutes to word process and spell check 12 pages.
45 minutes / 12 pages = 3.75 minutes per page
3.75 min/page x 40 pages = 150 minutes
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If semantics D=2x² X -
a trinomial in standard form.
Ox²-3x - 15
2
6x²-3x - 15
O3x²-3x + 15
O-2x² + x + 15
15find an expression that equals semantics-1D as
The expression that equals semantics -1 D is - 2x² + x + 15.
What is a trinomial?One or more terms in an algebraic expression each include variables and constants. These expressions utilize separators like +, -, and that are symbols or operations. An algebraic statement with variables and constants is a quadratic trinomial. It is written as ax² + bx + c, where a, b, and c are real non-zero values and x is the variable. The leading coefficient "a," linear coefficient "b," and additive constant "c" all refer to the same constant.
The given trinomial is D = 2x² - x - 15
Multiply both sides by -1 to find -1D
-1D = -( 2x² - x - 15) = 0
-1 D = - 2x² + x + 15
So, this is the trinomial equal to the semantics -1D.
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The store bought a pair of shoes for $50 and sold them for $80. What percentage was the markup?
Answer: They resold them for $30 more than the original price.
Answer: 37.5%
Step-by-step explanation:
$80 - $50 = $30,
$30/$80 = 0.375 > 37.5%
This question number 7 and I need help
The product of two numbers exists done by multiplying a number with the other. The product of a number x and 7 exists 7x.
What is meant by product?The result of multiplying two or more numbers together is known as a product in mathematics. A number that is obtained by multiplying two or more other numbers together is referred to in mathematics as a product.
The outcome of one or more multiplications is referred to as a "product." For instance, the mathematical statement "times equals" would be written with the multiplier, the multiplicand, and their product as the variables.
Let the variable be x
x be a number
So, the product of x and 7 exists calculated as:
Product = 7 × x
Product = 7x
Therefore, the product of a number (x) and 7 exists 7x.
The complete question is:
The product of a number and 7
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In the first hour Brady sold 1/3 cupcakes and Jaquan sold 3/8 cupcakes. During the second hour, the sold 2 cupcakes. During the third hour, they sold 75% of the remaining cupcakes. During the fourth hour, they sold the remaining 3 cupcakes. How many did they sell?
The number of cupcakes sold will be 4.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that, in the first hour, Brady sold 1/3 cupcakes and Jaquan sold 3/8 cupcakes. During the second hour, they sold 2 cupcakes. During the third hour, they sold 75% of the remaining cupcakes. During the fourth hour, they sold the remaining 3 cupcakes.
The number of cupcakes sold will be,
N = (1/3) + (3/8) +[(2-1/3-3/8)]+3
N = (1/3)+(3/8) + (7/24)
N = 96 / 24
N = 4
Therefore, the number of cupcakes sold will be 4.
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5.
A car service charges $2.40 for driving 1 mile. How much does the company charge for
driving 12.45 miles?
) (
$14.85
$24.85
$27.48
$29.88
Show Your Work
Answer:
Step-by-step explanation:
$2.40 12.45 mi
___ * ___ = ? ;
1 mi. 1
The units of miles— "mi" —cancel out to "1" ;
since: " mi/ mi = 1 "
and we have:
$2.40 * 12.45 = ? ;
= $29. 88 ; {using a calculator};
⇒ which corresponds to: Answer choice: [D]: $29.88 .
_____
Hope this is helpful!
Best wishes!
_____
As part of a major renovation at the beginning of the year, Bonham’s Bakery sold shelving units (store fixtures) that were 13 years old for $2,300 cash. The original cost of the shelves was $7,000 and they had been depreciated on a straight-line basis over an estimated useful life of 15 years with an estimated residual value of $1,300.
Record the sale of the shelving units.
Cash 2300
Accumulated Depreciation 4940
Gain one of fixtures 240
Store fixtures 7000
From the question, we have
Bonham’s Bakery sold shelving units (store fixtures) that were 13 years old for $2,300 cash.
Accumulated Depreciation = (7000-1300)/15*13
=4940
Gain one of fixtures = 240
Store fixtures = 7000
Multiplication:
Mathematicians multiply the numbers in order to calculate the sum of two or more. A fundamental mathematical operation, it is applied frequently in daily life. In order to combine groups of similar sizes, we use multiplication. An illustration of the fundamental concept of repeated addition of the same number is multiplication. The product of two or more numbers refers to the result of the multiplication, and the factors are the amounts that are being multiplied. It is easier to add the same number repeatedly after it has been multiplied.
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