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[tex]( {a + b})^{2} = {a}^{2} + 2ab + {b}^{2} [/tex]
_________________________________
[tex]4 {x}^{2} + 20x + p = [/tex]
[tex]( {2x})^{2} + 2(2x)(5) + p = [/tex]
Thus ;
[tex]p = {5}^{2} [/tex]
So
[tex]p = 25[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
What value of y makes the following equation true?
−12(−5y+4)=2+12y
Answer:
Solution
= 25/24
Step-by-step explanation:
hope that helps :)
find the volume of the prism
Answer:
The formula for the volume of a prism is V=Bh , where B is the base area and h is the height.
Step-by-step explanation:
The volume of the prism whose length, breadth, and height are 10 inches, 4 inches, and 3 inches respectively is 120 inches².
A prism is a 3-D geometric shape that has two identical and parallel polygonal bases connected by a series of rectangular or parallelogram-shaped faces (also known as lateral faces).
As it is known that the volume of a prism is obtained by multiplying the area of the base and the height, i.e.,
Volume = area of the base × height
Also,
Area of the base = length × breadth
So,
Volume = length × breadth × height
= 10 × 4 × 3
= 120 square inches.
Therefore, the volume of the rectangular prism is 120 inches².
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The complete question is as follows:
Find the volume of the rectangular prism whose length, breadth, and height are 10 inches, 4 inches, and 3 inches respectively.
as
Complete the equation describing how x
and y are related.
ху
-2
-1
0
1
2
3
-8
-5
-2
1
4
y = [? ]x +
Enter the answer that
belongs in [?].
Answer:
[tex] y = 3x - 2 [/tex]
Step-by-step explanation:
The equation that describes how x
and y are related is given in the slope-intercept form, [tex] y = mx + b [/tex]
Where, m = slope, and b = y-intercept.
Let's find the value of m and b using the table of values given.
Using two of the pairs given, (-2, -8) and (-1, -5),
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-5 -(-8)}{-1 -(-2)} = \frac{3}{1} = 3 [/tex]
Substitute x = -2, y = -8, and m = 3 in [tex] y = mx + b [/tex] to find the value of b.
Thus:
[tex] -8 = (3)(-2) + b [/tex]
[tex] -8 = -6 + b [/tex]
Add 6 to both sides
[tex] -8 + 6 = b [/tex]
[tex] -2 = b [/tex]
Substitute m = 3 and b = -2 in [tex] y = mx + b [/tex].
The equation that describes how x
and y are related would be:
[tex] y = 3x - 2 [/tex]
if you had to express a typical NBA player's salary with a single number (round to the nearest 100000) you would use
Answer:
wat
Step-by-step explanation:
a 38.6 kg is a marble slab is shown above. what is the density
The question is incomplete. The dimension of the marble slab is 23 cm by 17 cm by 4 cm.
Solution :
Given
The mass of the marble slab, m = 38.6 kg
= 38600 g
Length, l = 23 cm
breadth , w = 17 cm
Thickness, h = 4 cm
Therefore, volume of the slab is V = 23 x 17 x 4
= [tex]$1564 \ cm^3$[/tex]
We know,
[tex]$\text{density}= \frac{\text{mass}}{\text{volume}}$[/tex]
= [tex]$\frac{38600}{1564}$[/tex]
= [tex]$24.7 \ g/cm^3$[/tex]
What is the domain of the function for this situation?
Answer:
There is no problem. If you put the problem then i'll help
Step-by-step explanation:
Brandon is landscaping his backyard. He bought 2 7\8tons of decorative rock and 1 2\5 tons of boulders. How many total tons of rock did he buy?
Answer:
4 11/40 hope this helps :)
Step-by-step explanation:
Answer:
4 11/40
Step-by-step explanation:
I had this question
The equation C = 5 9 F − 160 9 gives the relation between temperature readings in Celsius and Fahrenheit.
(a) Is C a function of F? Yes, C is a function of F. No, C is a not a function of F.
(b) What is the mathematical domain of this function? (Enter your answer using interval notation. If C is not a function of F, enter DNE.)
(c) If we consider this equation as relating temperatures of water in its liquid state, what are the domain and range? (Enter your answers using interval notation. If C is not a function of F, enter DNE.) domain range
(d) What is C when F = 71°? (Round your answer to two decimal places. If C is not a function of F, enter DNE.) C(71) = °C
Step-by-step explanation:
The question is wrong. The correct equation is :
[tex]C=\frac{5}{9}F-\frac{160}{9}[/tex]
We know that the equation gives the relation between temperature readings in Celsius and Fahrenheit.
Therefore, giving that we know the value in Fahrenheit ''F'' we can find the reading in Celsius ''C''. This define a function C(F) that depends of the variable ''F''.
So for the incise (a) we answer Yes, C is a function of F.
For (b) we need to find the mathematical domain of this function. Giving that we haven't got any mathematical restriction, the mathematical domain of the function are all real numbers.
Dom (C) = ( - ∞ , + ∞)
For (c) we know that the water in liquid state and at normal atmospheric pressure exists between 0 and 100 Celsius.
Therefore the range will be
Rang (C) = (0,100)
Now, we need to find the domain for this range. We do this by equaliting and finding the value for the variable ''F'' :
For C = 0 :
[tex]0=\frac{5}{9}F-\frac{160}{9}[/tex] ⇒ [tex]F=32[/tex]
And for C = 100 :
[tex]100=\frac{5}{9}F-\frac{160}{9}[/tex] ⇒ [tex]F=212[/tex]
Therefore, the domain as relating temperatures of water in its liquid state is
Dom (C) = (32,212)
For (d) we only need to replace in the equation by [tex]F=71[/tex] and find the value of C ⇒
[tex]C=\frac{5}{9}F-\frac{160}{9}[/tex] ⇒
[tex]C=(\frac{5}{9})(71)-\frac{160}{9}[/tex]
[tex]C=\frac{65}{3}[/tex] ≅ 21.67
C(71) = 21.67 °C
a. Yes, C is a function of F.
b. Domain of the function is: ( - ∞ , + ∞)
c. Range of function C is: (0, 100)
the domain of function C is: (32, 212).
d. [tex]\mathbf{C(71) = 21.67^{\circ}C}[/tex]
Range and Domain of A FunctionThe domain of a function is the input value, while the range is the corresponding output value.
a. Given the equation of the function as, [tex]C = \frac{5}{9}(F) - \frac{160}{9}[/tex], this means that, the value of C is dependent on the value of F, therefore, the answer is, Yes, C is a function of F.
b. Since no mathematical restriction was stated, therefore:
Domain of the function is: ( - ∞ , + ∞)
c. Temperature of water in its liquid state ranges between 0 and 100°C, therefore:
Range of function C is: (0, 100)
To find the domain, substitute C = 0 and C = 100, respectively, into [tex]C = \frac{5}{9}(F) - \frac{160}{9}[/tex].
Thus:
[tex]0 = \frac{5}{9}(F) - \frac{160}{9}\\\\F = 32[/tex]
[tex]100 = \frac{5}{9}(F) - \frac{160}{9}\\\\F = 212[/tex]
Therefore, the domain of function C is: (32, 212).
d. To find C when F = 71°, substitute F = 71° into [tex]C = \frac{5}{9}(F) - \frac{160}{9}[/tex].
Thus:
[tex]C(71) = \frac{5}{9}(71) - \frac{160}{9}\\\\C(71) = \frac{65}{3} \\\\\mathbf{C(71) = 21.67^{\circ}C}[/tex]
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Anne’s potato salad recipe requires one pound of potatoes for every four people served. How many pounds of potatoes will Anne need to serve 14 people at her picnic?
Answer:
4 lbs
Step-by-step explanation:
1:4=4:16
16 is bigger than 14
So 4 lbs
Who ever gets this question right is BRAINLIEST. Answer For 15 Points
Answer:
ITS C:D pls give brainliest
Step-by-step explanation:
add all it equals C, 16.25
Chad wants to order pizza for a party, and he can spend no more than $45.
He'll order 4 large pizzas and a $5 salad. How much can he spend on each
pizza if they are all the same price?
Choose two answers: one for the inequality that models this situation and
one for the correct answer.
A. Answer: $8 or less
B. Inequality: 5x + 4 < 45
C. Inequality: 4x + 5 < 45
D. Answer: $10 or less
Answer:
Inequality: 4x+5<45, $10 or less
Step-by-step explanation:
Sallad costs $5. Therefore, the total cost of the pizzas is $40 ( $45-$5). Then since they are 4 pizzas, you find the quotient of ($40÷4)
1 A brand of cereal is usually sold in 750 g packs. During a special promotion an
extra 15% is added to each box. What will the new weight be?
Answer:
multiply it by.15
Step-by-step explanation:
Answer: 862.50 g
Step-by-step explanation:
Find what 15% of 750 is then add the obtained value to 750 to find the new weight.
15% * 750 = 112.5
750 + 112.5 = 862.50
One number is 4 more than 3 times another. Their sum is 16. Find the two numbers.
Please solve: y = 2x + 5... X = 2
Answer:
2,9 or y=9
Step-by-step explanation:
So since x=2, plug it in the equation.
y=2(2)+5
y=9
In a coordinate, it would be 2,9
Answer: y = 9
Step-by-step explanation: Substitute the value of x, which is 2, into the equation. 2 multiplied by 2 equals 4, and 5 plus 4 equals 9, thus y equals 9
According to Bill Nye, How many people need to be in a room for there to be 50% chance of atleast 2 people having the same birthday?a. 128 b. 56 c. 29 d. 12
Answer:
the answer is actually 23 people
Step-by-step explanation:
Bill Nye's birthday paradox can be explained in the following manner:
first we must find the probability that in a room with 23 people, no two people have the same birthday
probability of no two people having the same birthday = 365/365 x 364/365 x 363/365 x 362/365 ... you keep multiplying until 343/365 = 0.492703
so the probability that in a room with 23 people, no two people have the same birthday = 49.2703%
the probability of two people having the same birthday = 1 - probability of no two people having the same birthday = 1 - 49.2703% = 50.7297%
Mr. G drove a total of 252 miles and used 42
used dia
gallons of gas last weekend. What is the unit
rate of miles to 1 gallon?
R
Answer: 890
Step-by-step explanation:
Write a different expression that has the same quotient as -3/8 and 3/8.
Answer:
x = -3/8
Step-by-step explanation:
When multiplying more than two integers, describe how you know the sign of the product
Answer:
The number of negative integers given determines the sign of the product.
Step-by-step explanation:
The sign of the product could either be negative or positive. This depends on the number of negatively directed integers in the given integers to be multiplied. Since all integers are directed numbers i.e either positive whole numbers or negative whole numbers.
Thus to know the sign of the product, if the number of negative integers is even, then the product would be positive. But if the number of negative integers is odd, the product would be negative.
Therefore, the number of negative integers given determines the sign of the product.
In retailing there is a direct interaction with *
O producer
O
customer
O wholesaler
all of the above
Solve the equation for m. 7(m+5)=21 m = -2 m = 2 = m= 9
Answer:
I'm thinking it's 9
Step-by-step explanation:
The slope- intercept form of the equation of a line is y = mx + b. When the formula is solved for m, the result is
1. y-x/b
2. y - bx
3. y-b/x
4. x/y - b
What is 15 divided by 7.4?
Determine which situation could be represented by the system of linear equations given below.
5x+3y=210
x+y=60
A. A candy story sells boxes of chocolates for $5 each and boxes of caramels for $3 each. In one afternoon, the store sold 210 boxes of candy and made a profit of $60.
B. An art teacher bought paintbrushes in packs of 5 and packs of 3. She bought a total of 60 packs and now has 210 paintbrushes.
C. A guitar requires 5 strings and a banjo requires 3 strings. An orchestra has a total of 210 strings. One guitar player and one banjo player have 60 strings.
D. An audience contains 210 people. Student tickets cost $3 each and adult tickets cost $5 each. At one performance, there are 60 more adults than students.
Answer:
B
Step-by-step explanation:
The correct situation is option B, an art teacher bought paintbrushes in packs of 5 and packs of 3. She bought a total of 60 packs and now has 210 paintbrushes.
What is an equation?The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.
Given equations are 5x+3y=210 and x+y=60.In the equation suppose the number of boxes of chocolates is x and the number of boxes of caramels is y.
The cost of each chocolate box is $5 and the cost of each caramel box is $3 so the total cost of the chocolate boxes is the sum of the total cost of both chocolate boxes.
5x+3y=210
The total number of chocolate boxes will be expressed as:-
x + y = 60
Therefore the correct situation is option B, an art teacher bought paintbrushes in packs of 5 and packs of 3. She bought a total of 60 packs and now has 210 paintbrushes.
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Justify Solution Paths of Linear Equations
3(x−2)+5x=26 (What property is this?)
3x−6+5x=26 (What property is this?)
8x−6=26 (What property is this?)
8x=32 (What property is this?)
x=4 (What property is this?)
Here are a list of the properties-
Subtraction Property of Equality
Addition Property of Equality
Multiplication Property of Equality
Division Property of Equality
Combine Like Terms
Distributive Property
Given Equation
Answer:
[tex]3(x-2)+5x=26[/tex] (Given Equation)
[tex]3x-6+5x=26[/tex] (Distributive Property)
[tex]8x-6=26[/tex] (Combine Like Terms)
[tex]8x=32[/tex] (Addition Property of Equality)
[tex]x=4[/tex] (Division Property of Equality)
Step-by-step explanation:
To justify the solution paths of linear equations.
[tex]3(x-2)+5x=26[/tex] (It is the Given Equation)
Here, 3 has to be multiplied with the term [tex](x-2)[/tex], so the distributive property applies.
Therefore, [tex]3x-6+5x=26[/tex]
Here, the like terms with [tex]x[/tex] in it will have to solved by combining them into one.
Therefore, [tex]8x-6=26[/tex]
Here, we add 6 to both sides.
[tex]8x=32[/tex]
Now, divide the both sides with 8.
[tex]x=4[/tex]
Therefore, the answer is:
[tex]3(x-2)+5x=26[/tex] (Given Equation)
[tex]3x-6+5x=26[/tex] (Distributive Property)
[tex]8x-6=26[/tex] (Combine Like Terms)
[tex]8x=32[/tex] (Addition Property of Equality)
[tex]x=4[/tex] (Division Property of Equality)
A 3-pound bag of carrots costs $11.52. What is the price per ounce?
Answer:
3.75
Step-by-step explanation:
Just divide it in the future!! :)
Answer:
$0.24
Step-by-step explanation:
There are 48 ounces in 3 pounds. Divide 48 by 11.52 to get the unit rate, and the unit rate is $0.24 per ounce
1. Adding decimals is very similar to adding___________.
2.Line up the number vertically so that all the decimal points are_______.
3. Add extra______to the right of the number so that each number has the same number of digits to the right of the decimal point.
4. Place the______________of the result in line with the other decimal points.
Answers:
1. Adding decimals is very similar to adding whole numbers.
2. Line up the number vertically so that all the decimal points are aligned.
3. Add extra zeros to the right of he number so that each number has the same number of digits the right of the decimal point.
4. Place the decimal point of the result in line with the other decimal points.
I hope this helped you. If it is please click the thanks button. Thank You, Bye! ;-D
1. Adding decimals is very similar to adding whole numbers.
2. Line up the number vertically so that all the decimal points are aligned.
3. Add extra zeros to the right of the number so that each number has the same number of digits to the right of the decimal point.
4. Place the decimal point of the result in line with the other decimal points.
While adding two decimals.
First, the decimals numbers are written under each other so that decimal points are lined up.The numbers are converted to like decimals by attaching the zeros. The number of zeros attached depends on the number with the maximum digits after the decimal point. The digits of each numbers are lined up so that each column contains digits in the same place. Addition is carried out the normal way by starting from the right to the left. The decimal point is then placed in the place as the numbers above it.Learn more about decimal form here:
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What equation represents the line shown
A.y=2x+2
B.y=-2x+2
C.y=1/2x+2
D.y=1/2x+-2
Answer:
The answer must be either C or D but I think it is D
Step-by-step explanation:
sorry if I am wrong
The population of a city grew from 43,209 to
45,687 in just five years. What was the percent
increase in the population to the nearest whole
percent?
Answer:
5 percent or 5.7349percent
divide 43209 by 45687 and get 1.0573491 subtract one
and get 0.0573491 make into a percentage 5.7percent depending on where you need to round.
The purchase price of a camcorder is $818 what is the total price if the sales tax rate is 8.5%
Alone, Brenda can dig a ditch in 5 hours. If Jack helps her, the two of them can dig
the ditch in 3 hours. How long would it take Jack to dig the ditch himself?
Brainliest if answered first
Answer:
7.5 hours
Step-by-step explanation:
1/5 in 1 hour and 1/3 in one hour
1/3-1/5 is 2/15
backwards is 15/2
7.5 hours
Hope this helps plz hit the crown ;D