A 1-degree change (increase or decrease) on the Celsius temperature scale is equivalent to a degree change on
5
the Fahrenheit temperature scale. How much does the Fahrenheit temperature increase if the Celsius temperature
increases 6 degrees? How much does the Fahrenheit temperature decrease if the Celsius temperature decreases 26
degrees?
Which statement describes this situation?
O A. The Celsius temperature varies with respect to the Fahrenheit temperature with a rate of change of 9/5° C
per degree F.
B. The Celsius temperature varies with respect to the Fahrenheit temperature with a rate of change of 9/5° F
per degree C.
OC. The Fahrenheit temperature varies with respect to the Celsius temperature with a rate of change of 9/5° C
per degree F.
OD. The Fahrenheit temperature varies with respect to the Celsius temperature with a rate of change of 9/5° F
per degree C.
Can someone please provide a step-by-step explanation for the answer?
If the universe of discourse is the real numbers, give the truth value of each of the
following propositions:
(a) ∀x∃y(x = y²)
(b) ∀x∃y(x² = y)
(c) ∃x∀y(xy = 0)
(d) ∀x∃y(x + y = 1)
The Propositions are resulting
(a) ∀x∃y(x = y²) is False
(b) ∀x∃y(x² = y) is True.
(c) ∃x∀y(xy = 0) is True.
(d) ∀x∃y(x + y = 1) is True.
(a) ∀x∃y(x = y²)
This proposition states that for every x, there exists a y such that x is equal to y². To determine the truth value, we need to check if this statement holds true for every value of x.
If we take any positive value for x, we can find a corresponding value of y that satisfies the equation.
For example, if x = 4, then y = 2 satisfies the equation since 4 = 2². Similarly, if x = 9, then y = 3 satisfies the equation since 9 = 3².
Therefore, the proposition (a) is false.
(b) ∀x∃y(x² = y)
For any given positive or negative value of x, we can find a corresponding value of y that satisfies the equation.
For example, if x = 4, then y = 2 satisfies the equation since 4² = 2. Similarly, if x = -4, then y = -2 satisfies the equation since (-4)² = -2.
Therefore, the proposition (b) is true.
(c) ∃x∀y(xy = 0)
The equation xy = 0 can only be satisfied if x = 0, regardless of the value of y. Therefore, there exists an x (x = 0) that makes the equation true for every y.
Therefore, the proposition (c) is true.
(d) ∀x∃y(x + y = 1)
To determine the truth value, we need to check if this statement holds true for every value of x.
If we take any value of x, we can find a corresponding value of y that satisfies the equation.
For example, if x = 2, then y = -1 satisfies the equation since 2 + (-1) = 1. Similarly, if x = 0, then y = 1 satisfies the equation since 0 + 1 = 1.
Therefore, the proposition (d) is true.
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What is the 97.2x10 for the 4th power
Which expression is equivalent to 59.06
A. 5 x 1 + 9 × 1 + 6 × 1/10
B. 5 × 1 +9 × 1 + 6 × 1/100
C. 5 × 10 +9 × 1 +6 × 1/10
D. 5 × 10 + 9 × 1 + 6 × 1/100
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.
Please answer this question (image attatched
..................Is this a joke?
Florence wishes to retire at age 65 with $1,200,000 in her retirement account. When she turns 22, she decides to begin depositing money into an account with an APR of 7% compounded monthly. What is the monthly deposit that Florence must make in order to reach her goal? Round your answer to the nearest cent, if necessary.
The monthly deposit that Florence must make in order to reach her goal is $366.74.
What should be the monthly deposit?The series of payments that must be made is known as an annuity. An annuity is a series of payment made over a period of time. The amount that is invested monthly would grow at an exponential rate. This is because both the amount invested and the interest that has been accrued grows at each compounding period.
The formula to determine the monthly deposit is:
Monthly deposit = future value / annuity factor
Annuity factor = {[(1+r)^n] - 1} / r
Where:
r = interest rate = 7 / 12 = 0.583%n = number of periods = number of years x number of compounding periods(65 - 22) x 12
43 x 12 = 516
1,200,000 ÷ [((1.00583)^516]}- 1 / 0.00583] = $366.74
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Find the measure of X
Answer:
\(x\) = 67°
Step-by-step explanation:
As we can see in the diagram, ∠\(x\) and the 78° angle together make up the 145° angle.
∴ \(x\) + 78° = 145°
⇒ \(x\) = 145° - 78°
⇒ \(x\) = 67°
An angle bisector of a triangle divides the opposite side of the triangle into segments 6 cm and 9 cm long. A second
side of the triangle is 22.5 cm long. Find all possible lengths for the third side of the triangle.
The Angle Bisector Theorem states that in a triangle, if a line bisects one angle of a triangle and is also a median to the side opposite of that angle, then the ratio of the length of the median to the length of the side opposite the angle bisected is equal to the ratio of the length of the other two medians.
Therefore, if the angle bisector divides the opposite side into segments 6 cm and 9 cm long, the ratio of the length of the median to the length of the side opposite the angle bisected is 6/9.
Let x be the length of the third side of the triangle.
The Angle Bisector Theorem states: (x/22.5) = (6/9)
Solving for x, we get: x = (22.5 * 6/9) = 15
So the length of the third side of the triangle is 15 cm.
This is the only possible length for the third side of the triangle because the Angle Bisector Theorem only holds if the angle bisector is also a median to the side opposite of that angle.
Find the area of the trapezoid
A.) 1543.5 m2
B.) 220.5 m2
C.) 294 m2
D.) 588 m2
I need this answer in 5 MINUTES.
(I used all my brainly points on this question)
As no digram attached you can solve it by yourself
Formula is given by
\(\\ \rm\rightarrowtail \dfrac{1}{2}(a+b)h\)
Where
a and b are parallel sidesh is heightAnswer:m
Step-by-step explanation:
The cylinder has a radius of 5 feet and height of 20 feet. What is the volume of the cylinder in cubic feet?
Answer:
Well the volume is 1570.8 cubed. but i don't know what it would be in your range of answers.
Step-by-step explanation:
what decimal is equivalent to 0.85
Answer: 17/20
Step-by-step explanation:
0.85 = 85/100 = 17/20
The number 0.85 can be written using the fraction 85/100 which is equal to 17/20 when reduced to lowest terms.
Can anyone help me on this?
how is 1/14x42=3 can someone? explain
Answer:
This is why \(\frac{1}{14}\) x 42 = 3
Step-by-step explanation:
\(\frac{1}{14}\) x 42 can also be written as \(\frac{1}{14}\) x \(\frac{42}{1}\)
we can reduce diagonally by 7 so \(\frac{1}{14}\) x \(\frac{42}{1}\) = \(\frac{1}{2}\) x \(\frac{6}{1}\)
now we multiply across \(\frac{1}{2}\) x \(\frac{6}{1}\) = \(\frac{6}{2}\)
6 divided by two or \(\frac{6}{2}\) = \(\frac{3}{1}\) or 3
Tipton Tile has seen an increase in tile sales over the last few weeks. They sold 4,212 square feet of tile to 36 customers last week. If they are expecting between 51 and 59 people to buy tile this week, about how many square feet of tile can they expect to sell?
Tipton Tile expected to sell between, 5967 and 6902 square feet of tiles.
What is multiplication?Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
Given,
Tipton Tile has seen an increase in tile sales over the last few weeks.
They sold 4,212 square feet of tile to 36 customers last week.
That means,
4212 / 36 = 117 square feet of tiles per person.
If they are expecting between 51 and 59 people to buy tile this week.
To find the number of square feet of tiles:
For 51 people,
117 x 51 = 5967 square feet of tiles.
And for 59 people,
117 x 59 = 6903 square feet of tiles.
Therefore, They expected to sell between, 5967 and 6902 square feet of tiles.
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Can someone help me answer this question X= 6 6 6 6
Answer:
Would it be 90 degrees?
Step-by-step explanation:
Answer:
X=1296
or if your trying to look for the area it would be x=1111
its basically length times width
2tablets 3times a day 14 day supply 15 tablets per bottle what is the quantity needed
6 bottles are required for a 14 day supply.
One bottle contains 15 tablets and the dosage is two tablets thrice daily for 14 days, we need to find the quantity of tablets required. Let's calculate it. Quantity needed We know,
Total tablets required=Tablets required
per day x Days
To find the total tablets required, we first need to find the tablets required per day. Tablets required per day Given that,2 tablets are taken thrice daily,
Therefore the tablets required
per day= 2 x 3 = 6 tablets Per day, 6 tablets are required.
Total tablets required Now we can find the total tablets required by multiplying the tablets required per day by the number of days. Hence,
Total tablets required = Tablets required per day x Days= 6 tablets/day x 14 days= 84 tablets14 day supply has to be made with the given 15 tablets per bottle.
Hence, Quantity needed = Total tablets required/ Tablets per bottle= 84/15 = 5.6 or 6 bottles
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THe audio is writen there thanks but now PLZ HELP
I count n=12 observations, sorted they're
0 0 0 1 1 2 2 3 3 4 5 10
The median is the middle value, or the average of the two middle ones when we have an even number. That's (2+2)/2=2
Median: 2
The mode is the most common observation. Three friends had no pets.
Mode: 0
The range is maximum minus minimum, so 10 - 0 = 10
Range: 10
What are the four branches of Mathematics?
Answer:
Algebra.
Geometry.
Trigonometry.
Calculus.
Statistics and Probability
Step-by-step explanation:
that is all the branches.
What is the total of 12 monthly payments of 100.00 including tax
Answer:
The monthly payments of said financing plan will be $8.33.
Step-by-step explanation:
To determine what is the total of 12 monthly payments of $ 100.00 including tax, the following calculation must be performed:
100/12 = X
8.33 = X
Therefore, the monthly payments of said financing plan will be $8.33.
Estimate 6,976 + 3,983 + 13,560 by first rounding each number to the nearest thousand.
Answer:
Step-by-step explanation:
The thousand mark is the 4th number when going from right to left. So it would be the {6},976. When it comes to rounding, you go "5 and above, give it a shove, 4 and below, let it go. 6,976 rounded to the nearest thousand is 7,000, 3,983 rounded to the nearest thousand is 4,000, 13,560 rounded is 14,000.
7,000 + 4,000+ 14,000 = 25,000
Need answer to this question please don’t understand it
we have to do alot for this
so first we gotta change 12.3 into a mixed fraction
n = 5 so 5 ÷ 12.3
Endeye needs to split 1/5 of the dinner left over from last week to feed her 3 siblings. What fraction of the original dinner will each sibling have to eat tonight?
Answer:
They each had 1/20 of the original meal
Step-by-step explanation:
To begin, there are 4 people. Her siblings, and herself. She is splitting the 1/5 leftover to feed them. To do this, we simply take 1/5 and put it into a fraction to get 0.2. Next, we can put 0.2 / 4 into a calculator to get how much each person can get.
0.2 / 4 = 0.05.
Now, we need to turn it into a fraction to find out how much they had in fraction form of the original.
0.05 = 1/20
They each had 1/20 of the original meal
The length between the bases on a baseball field is 90 ft. A scale drawing shows the distance between the bases as 2 1/2 inches. One inch on this drawing equals how many feet?
Divide total feet by total inches
90 feet / 2 1/2 inches = 36 feet per inch
1 inch = 36 feet
g(x) = 3x – 3, Find g(-3x)
Answer:
g(-3x) = -9x - 3
Step-by-step explanation:
Step 1: Define function
g(x) = 3x - 3
g(-3x) = x = -3x
Step 2: Substitute
g(-3x) = 3(-3x) - 3
g(-3x) = -9x - 3
What is the value of the digit in the ones place?
2,615
A. 50
B. 5
OC. 2,000
OD. 100
plz help me por vavor?!?
Answer:
5.28 is the answer
Step-by-step explanation:
maybe late
Todd rolled a 12-sided die marked with the numbers 1 to 12. These are his experimental probabilities.
P(odd number) = 18/48
P(greater than 8) = 16/48
P(9) = 12/48
1. Which experimental probability matches the theoretical probability exactly?
2. Which experimental probability is farthest from the theoretical probability?
The experimental probability farthest from the theoretical probability is P(greater than 8). The theoretical probability of rolling a 9 is 1/12 because there is one 9 out of twelve total possible outcomes.
Experimental probability refers to the probability of an event based on data acquired from repeated trials or experiments.
Theoretical probability is the probability of an event occurring based on logical reasoning or prior knowledge. In Todd’s case, he rolled a 12-sided die marked with the numbers 1 to 12.
The probabilities are as follows:P(odd number) = 18/48P(greater than 8) = 16/48P(9) = 12/48To answer the questions:1. Which experimental probability matches the theoretical probability exactly?The theoretical probability of rolling an odd number is 6/12 or 1/2 because there are six odd numbers out of the twelve total possible outcomes.
The experimental probability Todd obtained was 18/48. Simplifying 18/48 to lowest terms gives 3/8, which is equal to 1/2, the theoretical probability.
Therefore, the experimental probability that matches the theoretical probability exactly is P(odd number).2. Which experimental probability is farthest from the theoretical probability? The theoretical probability of rolling a number greater than 8 is 3/12 or 1/4 because there are three numbers greater than 8 out of twelve total possible outcomes.
The experimental probability Todd obtained was 16/48. Simplifying 16/48 to lowest terms gives 1/3, which is not equal to 1/4, the theoretical probability.
The experimental probability Todd obtained was 12/48. Simplifying 12/48 to lowest terms gives 1/4, which is not equal to 1/12, the theoretical probability.
However, the difference between the experimental probability and the theoretical probability for P(9) is smaller than that of P(greater than 8). Therefore, P(greater than 8) is the experimental probability that is farthest from the theoretical probability.
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Aaron just inherited $8000 from his grandmother. He plans to invest the money, not
touching it for 20 years. He plans to invest in treasury bills at 6.67% interest,
compounded annually. How much money will he have after 20 years?
The money he would have after 20 years is $29,102.87
What is compounding?Compounding occurs when both the principal and the interest already accrued earns interest.
What is the future value of the money?The formula for calculating future value:
FV = P (1 + r)^nm
FV = Future value P = Present value R = interest rate m = number of compoundingN = number of years$8000 x (1.0667)^20 = $29,102.87
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Which expression has the same value as 97.6 – (-77.8)?
77.8 + (-97.6)
97.6 – 77.8
Submit Answer
0–77.8 – 97.6
97.6 + 77.8
Answer:
97.6 + 77.8
Step-by-step explanation:
97.6-(-77.8)
= 97.6+77.8
97.6+77.8= 175.4
97.6-(-77.8) = 175.4