Evaluate and simplify if possible:
Answers
3
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use the given conditions to write an equation for the line in point slope form passing through (-5,7) and (-8,6)
Suppose an investment of $2,300 doubles in value every decade. The function gives the value of the investment after x decades. f(x)=2300*2^x How much is the investment worth after 2 decades?a.$2,355,200 b. $92,000 c. $46,000 d. $9,200
Toilet rolls come in packs of 4 and 9The 4 pack is priced at £2.04 The 9 pack is priced at £4.68 By calculating the price per toilet roll, determine which pack is better value . Show your working
2x + 2y = 2
(3, 4)
(-4, 5)
(2, -1)
Answers
Solution :
Given equations,
Applying Substitution method to solve the equation.
Solve the first equation for x,
Substitute the value of x in second equation,
To calculate the value of x substitute the value of y in first equation
Hence, the solution of the equations is (2,-1).
Answers
RS is the width and ST is the length.
RT is the diagonal. RU is half of the diagonal and TU is the other half of the diagonal.
Length = 12 ; Width = 10
to find the diagonal:
d = √(L²+W²
d = √ 12² + 100²
d = √ 144 + 100
d = √244
d = 15.62
RU + TU = 15.62
TU = 15.62 - 9.5
TU = 6.12
A. Batch 2
B. Batch 3
C. Batch 4
D. Batch 5
E. Batch 6
Answers
The only batch of paint that will create the same colors as the first batch is Batch 5. Therefore, the correct answer is D. Batch 5
The first batch of paint has the following proportions of blue, white, and yellow:
Blue: 2 parts
White: 1.5 parts
Yellow: 1 part
In order for another batch of paint to create the same colors, it must have the same proportions of blue, white, and yellow.
Batch 2:
Blue: 5 parts
White: 7 parts
Yellow: 3.5 parts
The proportions of blue, white, and yellow in Batch 2 are not the same as the proportions in the first batch, so Batch 2 will not create the same colors.
Batch 3:
Blue: 2.5 parts
White: 3.5 parts
Yellow: 5.5 parts
The proportions of blue, white, and yellow in Batch 3 are also not the same as the proportions in the first batch, so Batch 3 will not create the same colors.
Batch 4:
Blue: 4.5 parts
White: 32 parts
Yellow: 5 parts
The proportions of blue, white, and yellow in Batch 4 are not the same as the proportions in the first batch, so Batch 4 will not create the same colors.
Batch 5:
Blue: 4 parts
White: 3 parts
Yellow: 2 parts
The proportions of blue, white, and yellow in Batch 5 are the same as the proportions in the first batch, so Batch 5 will create the same colors.
Batch 6:
Blue: 432 parts
White: 1.5 parts
Yellow: 34 parts
The proportions of blue, white, and yellow in Batch 6 are not the same as the proportions in the first batch, so Batch 6 will not create the same colors.
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Answer:
D. Batch 5.
Step-by-step explanation:
The batch should have the same proportion of blue to white to yellow.
In Batch 1, there are two parts of blue, 1.5 parts of white, and 1 part of yellow.
In Batch 5, there are four parts of blue, 3 parts of white, and 2 parts of yellow.
4 / 2 = 2
3 / 2 = 1.5
2 / 2 = 1
Since the proportions are equal to those found in Batch 1, D. Batch 5 will create the same colors as the first batch.
Hope this helps!
The estimated difference in masses of the two birds is grams.
Answers
Answer:
a) 4.47
b) 4.47 g
Step-by-step explanation:
The masses of the birds are given as;
The mass of the robin =76.58 grams.
The mass of the blue jay = 81.05 grams.
Difference in the masses of the birds is : 81.05 - 76.58 =4.47
Difference in masses of the two birds is grams is : 81.05g - 76.58g =4.47g
Answers
Given:
m = 2 & n = -1
so, m0 - n2
= 2*0 - (-1)*2
= 0 - (-2)
= 0 + 2
= 2
What is algebra?
Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols. In elementary algebra, those symbols (today written as Latin and Greek letters) represent quantities without fixed values, known as variables.
What is variable?
A variable is a symbolic name for (or reference to) information. The variable's name represents what information the variable contains. They are called variables because the represented information can change but the operations on the variable remain the same.
Learn more about Algebra & Variables here
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m=2
n= -1
(2)0 - (-1)2 (Plug)
0 - (-2) (solve)
0+2 (simplify)
2 (answer)