Write a proof for the conjecture using the contrapositive.
If 5x + 7 = -13, then x = -4.
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The contrapositive of this statement would be: "If x does not equal -4, then 5x + 7 will not equal to -13."
what is contrapositive?
The contrapositive is defined as the inverse and converse of a conditional statement.
X is equal to 4 we know this is because the sign in between the number means greater than or equal to so 3 x 4 equals 12 which makes the equation on right true and on the left x.
So, the contrapositive of this statement would be:
"If x does not equal -4, then 5x + 7 will not equal to -13."
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Can someone help me out real quick?
What are the next three numbers in this pattern? 11, 22, 12, 23, . . .
Susan and Kelvin each receive $100$100as a gift.Part ASusan buys a movie ticket for $12.50$12.50and 33buckets of popcorn that cost $14.20$14.20each with her $100$100. Which statement is true?
Naomi deposited money into a savings account that is compounded quarterly at an interest rate of 6%. she thinks this quarterly rate is the same as a monthly interest rate of 1.25%. Is Naomi right? If so, explain why and show how you got your answer. Is Naomi incorrect? if so, explain the mistake in her reasoning, give the correct monthly interest rate, and show how you got your answer.
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-8x -8x
-2y=-8x+24
----- ---- ----
-2 -2 -2
y=4x-12
slope: 4
y-intercept: -12
7 x 3/4
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7 * 3/4 = 21/4 = 5 1/4
The correct result would be 21/4.
The equivalent value of the expression is A = 21/4
Given data:
The first number is represented as a = 7
The second fraction is represented as b = 3/4
So, the equation is A = ab
And, A = 7 x 3/4
So, 7 multiplied by 3/4 equals 21/4.
However, to express the answer in its simplest form, we can simplify the fraction by dividing both the numerator and denominator by their greatest common factor.
The greatest common factor of 21 and 4 is 1, so we divide both numerator and denominator by 1.
Hence, the simplest form of the equation is A = 21/4
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Find the diameter of a circle that has a circumference of 942 meters.
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Answer: 0.79
Step-by-step explanation:
Given: The cost price of car = $19,000
The rate of depreciation = 21 % = 0.02
The exponential decay equation (depreciation) is given by :-
, where A is the initial amount and b is the decay factor for x years such that
, where r is the rate of decay.
If we substitute the value of r , we get
The decay factor =
B. The surface areas of the boxes are the same.
C. The base of each box has the same perimeter as the other.
D. The volumes of the boxes are the same.
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Answer:
Option D) The volumes of the boxes are the same.
Step-by-step explanation:
Given that Rhea has two cardboard boxes in the shape of rectangular prisms. Each box has the same height and cross-sectional area as the other.
Since we are given height and cross sectional area are the same, we see that the bases have same area. The dimensions need not be congruent.
Hence the boxes need not be congruent
Surface area also need not be congruent since length, width may differ for each prism
The area is the same need not imply perimeter is the same.
Hence only option d) The volumes of the boxes are the same.
is the right answer.
The formula for the volume of a prism is the area of the base times the height.
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Answer:
c
hope its right :)
good luck!