Given the domain {-4, 0, 5}, what is the range for the relation 12x, + 6y = 24?
↣ Substitute all domains in the equation for the ranges.
[tex]12x+6y=24[/tex]
[tex]2x+y=4[/tex] ↣ Divide the whole equation by 6.
↣ Substitute x = -4 in the equation.
[tex]2(-4)+y=4\\-8+y=4\\y=4+8\\y=12[/tex]
Our range is 12 when x = -4. In the choice there is only one choice that has range value as 12. Therefore, the answer is B.
↣ If you want me to solve for all ranges then you can reply under this. Since there is only one choice that has 12 as range value, I decide not to continue. So If you want me to solve for all ranges then feel free to reply under this. ↣
which of the following represent 4%?
A. 400
B. 40
C. 0.4
D. 0.04
Answer:
D. 0.04
Step-by-step explanation:
Because 400 and 40 are whole numbers. 0.4 is a decimal meaning is 40% and 0.04 is in the hundreds so is 4%
If neither a nor b are equal to zero, which answer most accurately describes the product of (a + b)(a - b)?
The product of a complex conjugate is always an imaginary number.
The product of a complex conjugate is always zero.
The product of a complex conjugate is always a mix of real and imaginary numbers.
The product of a complex conjugate is always a real number.
The statement is correct. The product of a complex conjugate is always a real number.
Given, if neither a nor b are equal to zero then we have to conclude that which of the following statement accurately describes the product of (a + ib)(a - ib). So, let's proceed to solve the question accordingly.
Now, solve the product of (a + ib)(a - ib), we get
(a + ib)(a - ib) = a(a - ib)+ib(a - ib)
= a^2-iab+iab+(ib)^2
= a^2+i^2b^2
we know that, i^2 = -1, then
= a^2+i^2b^2 = a^2+b^2
⇒(a + ib)(a - ib) = a^2+b^2
∴ a^2+b^2 will always give a real number.
Therefore, option (d) is correct. The product of a complex conjugate is always a real number.
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A bin in the gym holds 40 balls, which are a mix of
basketballs, soccer balls, and dodgeballs. The ratio
of basketballs to soccer balls is 3:1. The ratio of
soccer balls to dodgeballs is 1:4. How many basket-
balls are in the bin?
The number of marbles in the bag is illustrated using proportions.
There are 15 basketballs in the bin
The given parameters are:
[tex]\mathbf{B : S = 3 : 1}[/tex]
[tex]\mathbf{S : D = 1 : 4}[/tex]
[tex]\mathbf{n = 40}[/tex]
First, we combine the ratios
[tex]\mathbf{B:S:D = 3:1:4}[/tex]
The number of basketballs is calculated as follows:
[tex]\mathbf{Basketball= \frac{B}{B + S + D} \times n}}[/tex]
So, we have:
[tex]\mathbf{Basketball= \frac{3}{3 + 1 + 4} \times 40}[/tex]
[tex]\mathbf{Basketball= \frac{3}{8} \times 40}[/tex]
[tex]\mathbf{Basketball= 3 \times 5}[/tex]
[tex]\mathbf{Basketball= 15}[/tex]
Hence, there are 15 basketballs in the bin
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lets say you have two line segments , ab and cd which bisects each other at point E. explain why ac = ab
Answer:
When a line segment is bisected into 2 halves, the two halves are equal. In this case, when AB is bisected by CD, AE and BE would be equal and each point on CD should be equidistant from point A and point B. Therefore, AC = AB.
A shop sells cereal in boxes A, B and C. Box A 500 g for $1.73 Box B 750 g for $2.60 Box C 1.25 kg for $4.35. which box is the best value?
Answer:
Box C
Step-by-step explanation:
First switch the box that's in kilograms into grams. One kilogram=1000 grams. So box C is 1250 grams.
Next divide the amount in each box by the cost of each box.
Box A 500/173=2.89
Box B 750/260=2.88
Box C 1250/435=2.87
So, since box C has the lowest amount when divided, that box has the best value.
How many solutions does the equation -2 + 2y + 3 = 3
a) none
b) one
c) infinity
d) three
Answer:
one
Step-by-step explanation:
y=1
hope this helps
Answer:
one
Step-by-step explanation:
3/a (-2) - 4 = 20 please help me out
Answer:
[tex] \sf \large \: a = \frac{ - 1}{4} [/tex]
Step-by-step explanation:
Let's solve your equation step-by-step.
3/a(−2)−4=20
−4a−6/a=20
Step 1: Multiply both sides by a.
−4a−6=20a
−4a−6−20a=20a−20a(Subtract 20a from both sides)
−24a−6=0
−24a−6+6=0+6(Add 6 to both sides)
−24a=6
−24a/−24=6/−24
(Divide both sides by -24)
a=−1/4
Check answers. (Plug them in to make sure they work.)
a=−1/4
(Works in original equation)
PLEASE HELP .!!! ILL GIVE BRAINLIEST.. *EXRTA POINTS* .. DONT SKIP :(( !
ILL GIVE 30 POINTS .
Nellie bought 4 pairs of Airpods Max for $2258.36. How much did she pay
for each of the Airpods Max? *
Answer:
$564.59
Step-by-step explanation:
you divide.
Which of the following is equivalent to −3(2x + 5y) − 7(2q + 3p)? −6x − 15y − 14q − 21p −6x + 5y − 14q + 3p −6x + 15y − 14q + 21p −21(2x + 5y − 2q + 3p)
Answer:
−6x − 15y − 14q − 21p
Step-by-step explanation:
Let's simplify step-by-step.
−3(2x+5y)−7(2q+3p)
Distribute:
=(−3)(2x)+(−3)(5y)+(−7)(2q)+(−7)(3p)
=−6x+−15y+−14q+−21p
Answer:
=−21p−14q−6x−15y
The equation −3(2x + 5y) − 7(2q + 3p) is equivalent to −6x − 15y − 14q − 21p.Option A is correct.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that,
−3(2x + 5y) − 7(2q + 3p)
For solving the equation we have to apply the arithmetic operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
First, open the bracket and multiply,
=−3(2x + 5y) − 7(2q + 3p)
=(−3)(2x)+(−3)(5y)+(−7)(2q)+(−7)(3p)
=−6x+−15y+−14q+−21p
Rearrange the equation as
=−21p−14q−6x−15y
Thus, the equation −3(2x + 5y) − 7(2q + 3p) is equivalent to −6x − 15y − 14q − 21p.Option A is correct.
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To make 1 batch of vegetable soup, Sam needs 16 ounces of water and 8 ounces of vegetables. How does the amount of water compare to the amount of vegetables?
Answer:
There is two ounces of water for every ounce of vegetables.
Step-by-step explanation:
Given that:
Sam needs 16 ounces of water and 8 ounces of vegetables to make 1 batch of vegetable soup.
Ratio is defined as the quantitative relation between two numbers.
We will use ratio to compare the amount of water to amount of vegetables.
Ratio of water to vegetables
16 : 8
Dividing by 8
[tex]\frac{16}{8}:\frac{8}{8}[/tex]
2:1
Hence,
There is two ounces of water for every ounce of vegetables.
Describe a proportional relationship involving some product or service and its cost that IS proportional. Explain why it is a proportional relationship, and identify the constant of proportionality.
Show your work. Use tables, graphs words, and numbers to explain your answer.
I WILL GIVE BRAINLIEST!!!
Natalie is an expert archer. The following table shows her scores (points) based on the number of targets she hit.
Targets hit 111 222 555
Points 333 666 151515
Plot the ordered pairs from the table.
Are Natalie's points proportional to the number of targets she hit?
Choose 1 answer:
(Choice A)
A
Yes
(Choice B)
B
No
Simplify the Expression:
2m +1
2m - 1
4m
)
2m – 1
2m +1
10m - 5
Answer:
22m - 5 I believe because I combined the like terms
Answer:
=98m−5
Step-by-step explanation:
HELP!!!! WILL MARK BRAINLIEST!!!!
Answer:
j
Step-by-step explanation:
Which expression represents the volume, in cubic
units, of the composite figure?
O (8)(6)6) + (8)(6)(4)
O (8)(6)(10) + (8)(6)(4)
O (8X6)\4)-(ex6)X6)
O (8X6)(4) –eX6)10)
Given:
The composite figure.
To find:
The volume of the given composite figure.
Solution:
Given composite figure contains a cuboid and a pyramid.
Length, breadth and height of the cuboid are 8, 6 and 4 respectively.
Volume of a cuboid is
[tex]V_1=length\times breadth\times height[/tex]
[tex]V_1=(8)(6)(4)[/tex]
Length and breadth of the pyramid is same as the cuboid, i.e., 8 and 6 respectively.
Height of pyramid = 10 - 4 = 6
Volume of a pyramid is
[tex]V_2=\dfrac{1}{3}\times length\times breadth\times height[/tex]
[tex]V_2=(\dfrac{1}{3})(8)(6)(6)[/tex]
The volume of composite figure is
[tex]V=V_1+V_2[/tex]
[tex]V=(8)(6)(4)+(\dfrac{1}{3})(8)(6)(6)[/tex]
It can be written as
[tex]V=(\dfrac{1}{3})(8)(6)(6)+(8)(6)(4)[/tex]
Therefore, the correct option is A.
HELPP!! Which is the correct name for this angle shown
Answer: D. < CBA
Step-by-step explanation:
I don’t know if this is correct or not !!!!!!! Please HELP !!!!!!!!! Will mark Brianliest !!!!!!!!
Answer:
pretty sure my dude
Step-by-step explanation:
tbh just use a ruler
Heather bought a pair of shoes for$75. She paid an 8.4% sales tax. What is the amount of sales tax she paid?
Answer: 6.3
Step-by-step explanation:
whats the answer giving brainliest XD
Answer:
C.
Step-by-step explanation:
Keep, change, flip.
Keep the first number, change the division sign to a multiplication sign, and flip the numerator and denominator of the second number.
Answer:
C. 1/2 * 5/4
Step-by-step explanation:
Reciprocals
Solve the equation: x-10 - 2x + 7 = 8 + x - 10 - 3x
Answer: If you're looking for the value of x, it's 1.
Step-by-step explanation:
Add the numbers. x-10-2x+7=8+x-10-3x--->x-3-2x=8+x-10-3x
Combine like terms. x-3-2x=8+x-10-3x ---> -x-3=8+x-10-3x
Subtract the numbers.-x-3=8+x-10-3x---> -x-3=-2+x-3x
Combine like terms. -x-3=-2+-3x---> -x-3=-2-2x
Rearrange terms. -x-3=-2-2x---> -x-3=-2x-2
Hope that helps!
WILL GIVE A BRAINLIEST
1 fourth as a decimal?
1 fourth as a fraction?
1 fourth as a percent?
3 fourths as a decimal?
3 fourths as a fraction?
3 fourths as a percent?
Answer:
1/4=0.25
1/4
1/4=25℅
3/4=0.75
3/4
3/4=75℅
a recent survey determined the iq score of a random selection of residents identify the class midpoints
The class Midpoint =( Lower class limit + Upper class limit )/2
What is class mid points?The “midpoint” (or “class mark”) of each class can be calculated as: Midpoint = Lower class limit + Upper class limit /2 . The “relative frequency” of each class is the proportion of the data that falls in that class.
If we look at the question attached below then
Upper class limit = 69
Lower class limit =50
class midpoints= 50+69/2
class midpoint= 59.5
Hence, the Midpoint =( Lower class limit + Upper class limit )/2
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Easy math problems help!!!!
Answer:
x = ±7
Step-by-step explanation:
[tex]a^2+b^2=c^2[/tex]
[tex]x^2+24^2=25^2[/tex]
[tex]x^2+576=625[/tex]
[tex]x^2=49[/tex]
x = ±7
Answer:
x = ±7
Step-by-step explanation:
i did this before
Today everything at a store is on sale the store offers a 20% discount the regular price of the t shirt is 10 dollars what price is the discount if the regular price of an item is x dollars what is the equation
Answer:
[tex]P= x-0.2x[/tex]
Step-by-step explanation:
Step one:
given
Everything at a store is on sale the store offers a 20% discount
The regular price of the t-shirt is $10
Required
The price of an item that cost $x
Step two:
the cost of the discount will be
= 20/100*x
= 0.2x
let the new price be P
[tex]P= x-0.2x[/tex]
What is the slope of the line y = 5x + 9? Just
write the number for your answer.
A teacher purchased 20 calculators and 10 measuring
tapes for her class and paid $495. Later, she realized
that she didn't order enough supplies. She placed
another order of 8 calculators and 1 measuring tape
and paid $178.50.
Write a system that can be used to model this situation
Answer:
pog
Step-by-step explanation:
Lesson 10 Practice Problems
1. Andre bought a new bag of cat food. The next day, he opened it to feed his cat. The
graph shows how many ounces were left in the bag on the days after it was bought.
a. How many ounces of food were in
the bag 12 days after Andre bought
it?
b. How many days did it take for the
bag to contain 16 ounces of food?
c. How much did the bag weigh before
it was opened?
d. About how many days did it take for
the bag to be empty?
ounces of cat food
Using a linear function, it is found that:
a) 36 ounces of food were there after 12 days.
b) It took 24 days for the bag to contain 16 ounces of food.
c) The bag weighed 56 ounces before it was opened.
d) It took about 33 days for the bag to be empty.
What is the definition of a linear function?A linear function is defined according to the following rule:
y = mx + b
In which:
m is the slope of the function, also called the rate of change of the function, given by the change in y divided by the change in x.b is the y-intercept of the function, which is the the value of y when the function crosses the x-axis(x = 0).From the graph of the function, we have that:
The intercept is of b = 56.The slope is of m = -40/24 = -1.6667, as in 24 days, the amount of food decayed from 56 ounces to 16 ounces, that is, it decayed 40 ounces.Hence the function for the amount of food after t days is given by:
A(t) = 56 - 1.6667t.
After 12 days, the amount is given by:
A(12) = 56 - 1.6667(12) = 36 ounces.
From the graph, we have that:
It took 24 days for the bag to contain 16 ounces of food.The bag weighed 56 ounces before it was opened. (y-intercept of the function = initial value).It took about 33 days for the bag to be empty. (x-intercept of the function).What is the missing information?The graph of the function is missing, and is given at the end of the answer.
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plz help i will report if your not trying to answer
Answer:
32
Step-by-step explanation:
4(4^(2)-8)+(25-5^(2))
4(8)+(25-25)
32+0
=32
PEMDAS.
In engineering, the modulus of elasticity is a way to measure how much an object deforms along an axis when opposing forces are applied among that axis. The formula can be expressed as E=(F2−F1)L0(δ2−δ1)A , where E is the modulus of elasticity, F is the axial force, δ is a deformation measure, L0 is the original length of the object, and A is the cross-sectional area.
Step-by-step explanation:
Consider an engineering material of initial length Lo, Area (A), Modulus of elasticity (E) and applied a force P due to which change in the length of the material is δ2 from it’s original length (Lo)
Initial length of the material is Lo. Hence, at time t = 0 when no force applied on the material the length of the material will not change (i.e., at time t=0, δ1 = 0)
Modulus of elasticity of the material:
[tex]E=\frac{P \cdot L_{o}}{A\left[\delta_{2}-\delta_{1}\right]}[/tex]
Area of the material:
[tex]E=\frac{P \cdot L_{o}}{A\left[\delta_{2}-\delta_{1}\right]}[/tex]
[tex]A=\frac{P \cdot L_{o}}{E\left[\delta_{2}-\delta_{1}\right]}[/tex]
Length of the material:
[tex]E=\frac{P \cdot L_{0}}{A\left[\delta_{2}-\delta_{1}\right]}[/tex]
[tex]L_{0}=\frac{E \cdot A\left[\delta_{2}-\delta_{1}\right]}{P}[/tex]