Answer:
5/8 - 6/8, which is the second option
Step-by-step explanation:
Answer:
5/8- 6/8
Step-by-step explanation:
(3, 4, 5, ...} is finite or infinite
The given set is (3, 4, 5, ...} is infinite set.
A set with an infinite number of elements is one that cannot be numbered. A set that has no last element is said to be endless. A set that can be put into a one-to-one correspondence with a suitable subset of itself is said to be infinite. No issue with the in-class assignment.
The stars in the clear night sky, water droplets, and the billions of cells in the human body are just a few examples of endless sets of objects that surround us. A set of natural numbers, however, serves as the best illustration of an infinite set in mathematics. There is no limit to the amount of natural numbers.
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Your parents have a credit card with a balance of $3,287.90 at an interest rate of 14.5% APR. They pay $1,200.00 each month on the due date until the card is paid off. How many months does it take to pay off the card, and what is the total amount paid including interest?
Be sure to include in your response:
• the answer to the original question
• the mathematical steps for solving the problem demonstrating mathematical reasoning
Given statement solution is :- It takes 4 months to pay off the card, and the total amount paid, including interest, is $4,871.78.
To find out how many months it takes to pay off the credit card and the total amount paid including interest, we can use the following steps:
Step 1: Calculate the monthly interest rate
Divide the annual percentage rate (APR) by 12 to get the monthly interest rate.
Monthly interest rate = 14.5% / 12 = 0.145 / 12 = 0.01208 (rounded to 5 decimal places)
Step 2: Set up the equation for the number of months
Let's denote the number of months it takes to pay off the card as 'n'. The monthly payment is $1,200.00, and the initial balance is $3,287.90. The monthly interest rate is 0.01208. The equation for the number of months can be written as:
(1) $3,287.90 ×\((1 + 0.01208)^n\) - $1,200.00 ×\([(1 + 0.01208)^n\) - 1] = 0
Step 3: Solve the equation
To find the value of 'n', we need to solve equation (1). However, solving it algebraically can be complex. Instead, we can use numerical methods like trial and error, or we can use a spreadsheet or a calculator to find the solution.
Using a spreadsheet or a calculator, we can input the values and increment 'n' until we find the point where the equation equals zero.
After performing the calculations, it is determined that it takes approximately 4 months to pay off the card, and the total amount paid, including interest, is $4,871.78.
Therefore, the answer to the original question is that it takes 4 months to pay off the card, and the total amount paid, including interest, is $4,871.78.
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After shopping, it took Manuel 87 seconds to push a shopping cart directly to his car. In one-
third of that time, Manuel had moved 58 meters at a constant velocity. What was the cart's
velocity?
Answer:
The carts velocity= 2m/s
Step-by-step explanation:
It took Manuel 87 seconds to push a shopping cart directly to his car.
One third of 87 = 87/3 = 29
In 29 seconds the carts moved 58 meter's.
The carts velocity = distance/time
The carts velocity = 58/29
The carts velocity= 2m/s
Solve for x in the diagram below.
Answer:
x= 20
Step-by-step explanation:
The two smaller angles add to 90 degrees
x + 3x +10 = 90
4x+10 = 90
Subtract 10 from each side
4x+10-10 = 90-10
4x = 80
Divide each side by 4
4x/4 = 80/4
x = 20
Answer:
\(x=20\textdegree\)
Step-by-step explanation:
The angle we have here is a right angle. Right angles have a total measure of 90°. Therefore, the two parts must equal 90°:
Thus, we have the equation:
\((x)+(3x+10)=90\)
Combine like terms:
\(4x+10=90\)
Subtract 10 from both sides. The left side cancels:
\((4x+10)-10=90-10\\4x=80\)
Divide both sides by 4. The left side cancels:
\((4x)/4=(80)/4\\x=20\)
Thus, x is 20°.
Solve the problem with more than one answer
13-7+8=
Answer:
14
-83
-43
these anwrers when you make it with different ways.
You nees to get more than one answer with this problem I guess.
13-7+8 = 14
13(-7) + 8 = -83
13-7(+8) = -43If this not what you asked please delete my answer, if not kindly give me brainliest if you like.
Answer:
THERE IS NO OTHER ANSWER THAN 14
Step-by-step explanation:
Only 1 answer can be found by doing this problem in any order:
If we do 13-7 first:
(13-7)+8=
6+8=
14
So 1 answer is 14
If we do -7+8 first:
13+(-7+8) =
13+1=
14
So either way you do it you get the same answer. This is why it doesn't matter whether you do addittion or subtraction first before the other.
THERE IS NO OTHER ANSWER THAN 14
Evaluate the polynomial when x = 3 and y = - 8
x2 + y2 + xy
Work Shown:
Replace x with 3, replace y with -8. Use order of operations PEMDAS to simplify.
x^2 + y^2 + x*y
3^2 + (-8)^2 + 3*(-8)
9 + 64 - 24
73 - 24
49
Answer:
49
Step-by-step explanation:
We are given the polynomial:
\(x^2+y^2+xy\)
We want to evaluate when x=3 and y= -8. Therefore, we must substitute 3 for each x and -8 for each y.
\((3)^2+(-8)^2+(3*-8)\)
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction
Solve the parentheses first. Multiply 3 and -9.
3*-8=-24
\((3)^2+(-8)^2 + -24\)
\((3)^2+(-8)^2-24\)
Now, solve the exponents.
3^2= 3*3 =9
\(9+ (-8)^2 -24\)
-8^2= -8*-8= 64
\(9+64-24\)
Add 9 and 64
\(73-24\)
Subtract 24 from 73
\(49\)
The polynomial evaluated for x=3 and y= -8 is 49.
Find the value of x, show work.
The given triangle is a trigonometry identity . The value of the unknown variable 'x' is 3√2
Solving right triangles using trigonometry identity.The given triangle is a trigonometry identity with the following sides and angles
Opposite = x
Hypotenuse = 6
Angle = 45 degrees
According to the trigonometry identity
sin 45 = opposite/hypotenuse
sin 45 = x/6
x = 6sin45
x = 6(1/√2)
x = 6√2/2
x = 3√2
Hence the value of x in radical form is 3√2
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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.
Solve each equation by completing the square.
d² - 24d + c
Answer:
d² - 24d + c = (d - 12)² - 144 + c
PLS HELP ASAPPPPPPP
I NEED HELP
The tables which shows a proportional relationship between x and y are table 3 and table 4.
Which table shows a proportional relationship between x and y?Using ratio to find the proportional relationship
Table 1
x : y = 8 : 8
= 1 : 1
x : y = 12 : 10
= 6 : 5
Not proportional
Table 2:
x : y = 2 : 3
x : y = 3 : 8
Not proportional
Table 3:
x : y = 5 : 3
x : y = 10 : 6
= 5 : 3
Proportional
Table 4:
x : y = 4 : 1
x : y = 16 : 4
= 4 : 1
Proportional
Ultimately, table 3 and table 4 shoes a proportional relationship between x and y.
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Which of the statement(s) about the graph shown are true? Select all that apply.
Answer: Is there a picture?
Step-by-step explanation:
One jar of spaghetti sauce is made with 1/4 of a cup of tomatoes. How many full jars of spaghetti sauce can be made with 3 cups of tomatoes?
Answer:
you can make 12 cans of them
calculate the unit rate.
The unit rate for the problems are;
a. 50pages/hour
b. 4points / game
c. 8 car washed /hour
d. 8 ounces of peanut/ dollar
What is unit rate?A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 100 yards in 10 seconds, you ran on average 10 yards in 1 second.
a. The unit rate = number of pages/ time
= 100/2 = 50pages/hour
b. The unit rate = number of points /number of games
= 20/5 = 4 points per game
c. The unit rate = number of car washed/ time
= 40/5 = 8car washed per hour
d. unit rate = number of ounces of peanut/ number of dollars
= 20/2.5 = 8 ounces of peanut per dollar
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Dr.man mixed 9.357 g of chemical A, 12.082 g of chemical B, and 7.502 g of chemical C, to make 5 doses of medicine.
mark: 3,2,0,1,9,12,3,5
if the pass mark is 5, how many students failed the text
Answer:
5
Step-by-step explanation:
Anything below 5 is a fail:
3, 2, 0, 1, 3
That's 5 students.
(8.8x10^-5)^-5 simplifed in scientifc notation
Answer:
5(44 x 10^x)^
Step-by-step explanation:
Multiply 88 x 5 = 44
5(44 x 10^x)^
Examine angle ABC below.
Which of the following equations correctly represent the relationships between the segments?
A) AG= 2GD
B) GC= 1/2FG
C) BE= 2BG
D) GA= 1/2AD
Answer:
A
Step-by-step explanation:
The centroid cuts the median in a 2:1 ratio from vertex to side.
Calc question — related rates
The rate at which the depth of the liquid is increasing when the depth of the liquid reaches one-third of the height of the bowl is 1.25 cm s⁻¹.
How to determine rate?The volume of the liquid in the bowl is given by the following integral:
\(V = \int\limitsx_{0}^{h} \, \pi r^{2}(y) dy\)
where r = radius of the bowl and y = height of the liquid.
The radius of the bowl is equal to the distance from the curve y = (4/(8-x)) - 1 to the y-axis. This can be found using the following equation:
r = √{(4/(8-x)) - 1}² + 1²
The height of the liquid is equal to the distance from the curve y = (4/(8-x)) - 1 to the x-axis. This can be found using the following equation:
h = (4/(8-x)) - 1
Substituting these equations into the volume integral:
\(V = \int\limitsx_{0}^{h } \, \pi {\sqrt{(4/(8-x)) - 1)^{2} + 1^{2} (4/(8-x))} - 1 dy\)
Evaluate this integral using the following steps:
Expand the parentheses in the integrand.
Separate the integral into two parts, one for the integral of the square root term and one for the integral of the linear term.
Integrate each part separately.
The integral of the square root term can be evaluated using the following formula:
\(\int\limits^{b} _{a} \, dx \sqrt{x} dx = 2/3 (x^{3/2}) |^{b}_{a}\)
The integral of the linear term can be evaluated using the following formula:
\(\int\limits^{b} _{a} \, {x} dx = (x^{2/2}) |^{b}_{a}\)
Substituting these formulas into the integral:
V = π { 2/3 (4/(8-x))³ - 1/2 (4/(8-x))² } |_0^h
Evaluating this integral:
V = π { 16/27 (8-h)³ - 16/18 (8-h)² }
The rate of change of the volume of the liquid is given by:
dV/dt = π { 48/27 (8-h)² - 32/9 (8-h) }
The rate of change of the volume of the liquid is 7π cm³ s⁻¹. Also the depth of the liquid is one-third of the height of the bowl. This means that h = 2/3.
Substituting these values into the equation for dV/dt:
dV/dt = π { 48/27 (8-2/3)² - 32/9 (8-2/3) } = 7π
Solving this equation for the rate of change of the depth of the liquid:
dh/dt = 7/(48/27 (8 - 2/3)² - 32/9 (8 - 2/3)) = 1.25 cm s⁻¹
Therefore, the rate at which the depth of the liquid is increasing when the depth of the liquid reaches one-third of the height of the bowl is 1.25 cm s⁻¹.
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Devon's team has won 21 games and lost 7 this season. What is the
approximate probability that his team wins the next game it plays?
Answer:
i think is A
Step-by-step explanation:
Answer: probability of won=
no. of won match=21
no. of total match=28
so they cut and made 3/4
probability of lost match=
no. of lost match=7
no. of total match=28
so they cut and made 1/4
HOPE THIS HELPS
HELP ASAP DUE IN 5 MIN I WILL GIVE 15 POINTS QND MARK BRAINLIEST DO NOT SPAM As a kitten, Mittens weighed 2 3/4 pounds. At his 6-month check-up with the vet, Mittens weighed 6.5 pounds. How much weight did Mittens gain between the time he was a kitten and his 6-month check-up? Enter your answer as a decimal or simplified mixed number in the box.
Answer:
3.75
Step-by-step explanation:
Answer:
3.75
Step-by-step explanation:
Hope this helps
Have a great and blessed day :)
Question 7 of 25
If F(x) = 2x-5 and G(X) = x2 + 1, what is G(F(x))?
O A. 4x2 + 26
O B. 2x2 + 2x-5
O C. 4x2 - 20x + 26
O D. 2x3-5
Answer: C
Step-by-step explanation:
G(F(x)) means F(x) is being plugged into every x in G(x). Since we are given the G(x) and F(x) functions, we can directly plug 2x-5 into x²+1.
G(F(x))=G(2x-5)
G(F(x))=(2x-5)²+1 [use FOIL method to expand (2x-5)²]
G(F(x))=(4x²-10x-10x+25)+1 [combine like terms]
G(F(x))=4x²-20x+26
Now that we have found G(F(x))=4x²-20x+26, we know that the answer is C.
Binomial (-x + 3) and trinomial (-2x2 + 5x + 6) are the factors of what polynomial? (Hint: 4 and 2 are factors of 8. Multiply.)Binomial (-x + 3) and trinomial (-2x2 + 5x + 6) are the factors of what polynomial? (Hint: 4 and 2 are factors of 8. Multiply.)Binomial (-x + 3) and trinomial (-2x2 + 5x + 6) are the factors of what polynomial? (Hint: 4 and 2 are factors of 8. Multiply.)
Answer:
2x^3-11x^2+9x+18
Step-by-step explanation:
By multiplying both the binomial and the trinomial given, we obtain a polynomial which contains both as factors. We notice as well that the given trinomial doesn't have 3 as a root (so there is no multiple root x = 3 in the product we obtain:
\((-x+3)\,(-2x^2+5x+6)=2\,x^3-5x^2-6x-6x^2+15x+18=2x^3-11x^2+9x+18\)
Then, this new polynomial
\(2x^3-11x^2+9x+18\)
has both given polynomials as factors.
A section of rope 5 inches long represents 20% of the length of the entire rope. How long is the entire rope?
Answer:
25 inches
Step-by-step explanation:
bc you add 5 and add 20 percent, keep adding 5 until u get to 100 percent lol
I WILL GIVE BRAINLIEST!!!
Answer:
B
Step-by-step explanation:
Basically, both have a helmet rate of $5/hr. So,
300 +5x and 25x+5x = 30x
The questions specifically wants the purchasing to be lower.
GIVING BRAINIEST!
FIRST CORRECT ANSWER GETS BRAINLIEST
Answer:
Im pretty sure its C.
Step-by-step explanation:
because 8/2 could be 8 to the power of 2
sorry if wrong :(
A rectangular block has a length of 8 inches, a width of 3.5 inches, and a height of 2 inches. Four blocks are stacked to create a tower. What is the volume of the tower? O A. 56 in 3 O B. 140 in 3 O C. 280 in O D. 336 in
The volume of the tower is 224 in³, which is not listed among the given options.
To find the volume of the rectangular block, we need to multiply its length, width, and height. Therefore, the volume of the single block is:
8 x 3.5 x 2 = 56 cubic inches.
Since we are stacking four blocks to create a tower, we need to multiply the volume of a single block by 4.
Thus, the volume of the tower is:
56 x 4 = 224 cubic inches.
The volume of a rectangular block can be found using the formula,
V = length × width × height.
In this case, the length is 8 inches, the width is 3.5 inches, and the height is 2 inches.
V = 8 × 3.5 × 2 V
= 28 × 2 V
= 56 in³
Now that we know the volume of one block, we can find the volume of the tower created by stacking four blocks. Tower volume = block volume × number of blocks Tower volume = 56 in³ × 4 Tower volume = 224 in³
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solve each inequality and graph the solution on the number line
Answer:
1. open circle on the 5 facing left
2.closed circle on the 5 facing right
3.open circle on the 11 facing left
4.open circle on the 3 facing right
5.closed circle on the 7 facing left
6. open circle on the 6 facing right
Linda has a rectangular garden that's 3x-5 feet by 2x+8 feet. She wants to put a fence around the perimeter of the garden. If each foot of fence costs 5 dollars , how much will the total fencing around the garden cost?
The total cost of fencing the rectangular garden is 50x + 30 dollars.
How to find the total cost of the fencing?Linda has a rectangular garden that's 3x-5 feet by 2x+8 feet. She wants to put a fence around the perimeter of the garden.
Each foot cost 5 dollars.
The total cost of the fencing can be calculated as follows:
The perimeter of the rectangular garden is the sum of the whole sides.
hence,
perimeter of the rectangular garden = 2(l + w)
where
l = lengthw = widthTherefore,
l = 3x - 5
w = 2x + 8
perimeter of the rectangular garden = 2 (3x - 5 + 2x + 8)
perimeter of the rectangular garden = 2(5x + 3)
perimeter of the rectangular garden = 10x + 6
Therefore,
total cost of fencing = 5(10x + 6)
total cost of fencing = 50x + 30 dollars
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3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
question 7.
identify the zeros of the graphed function
A) -2,2
B)-2,0,2
C)-2
D)2
Answer:
-2,0 0,-8 , 2,0 hope that helps