Answer:
15 and 21
Step-by-step explanation:
Given the n th term formula
T = 2n + 5
To find the 5 th and 8 th terms substitute n = 5 and n = 8 into the formula
[tex]T_{5}[/tex] = (2 × 5) + 5 = 10 + 5 = 15
[tex]T_{8}[/tex] = (2 × 8) + 5 = 16 + 5 = 21
Given:
Tn = 2n+5
`The fifth term, i.e., n=5Substituting the value inside the formula we get,
2(5) + 5 => 10 + 5 => 15
2. The Eighth term, i.e., n=8
Substituting the value inside the formula we get,
2(8) + 5 => 16 + 5 => 21
which product is greatest? (-9)*(-3) or (-7)*(-2)? explain
Answer:
-9 x -3
Step-by-step explanation:
-7 x -2 will give +14.
-9 x -3 will give +27
+27 is greater than +14.
Two negative numbers multiplied will give a positive answer. (Always)
Multiplying two negative numbers gives a positive product. Therefore, both (-9)*(-3) and (-7)*(-2) result in positive numbers. However, (-9)*(-3) equals to 27, which is greater than (-7)*(-2) equals to 14.
Explanation:In Mathematics, when you multiply two negative numbers together, the product is a positive number. This is because the rules of sign in multiplication state that a negative times negative equals to a positive. Therefore, both (-9)*(-3) and (-7)*(-2) will result in positive numbers. (-9)*(-3) equals 27, while (-7)*(-2) equals 14. So, the product of (-9)*(-3), which is 27, is greater than the product of (-7)*(-2), which is 14.
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given t to be the midpoint of line AB with AT=3/4x+6 and tb=1/2x+9 find ab
To find the length of line AB, use the midpoint formula and solve for AB.
Explanation:To find the length of line AB, we can use the midpoint formula. Given that point T is the midpoint of line AB, we can set up the equation:
(AT + TB) / 2 = AB
Substituting the given values:
((3/4)x + 6 + (1/2)x + 9) / 2 = AB
Simplifying the equation:
(5/4)x + 15 / 2 = AB
(5/4)x + 7.5 = AB
Therefore, the length of line AB is (5/4)x + 7.5.
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A pitcher of water contains 1/4 liters of water. The water is poured equally into 5 glasses.
a. How many liters of water are in each glass? Draw a picture to support your response.
b. Write the amount of water in each glass in milliliters.
a. [tex]\frac{1}{20}[/tex] liters per glass
b. 50 milliliters
To find the amount of water in each glass, divide the total amount of water by the number of glasses, resulting in [tex]\frac{1}{20}[/tex] liters per glass. To express this in milliliters, multiply by 1000 to get 50 milliliters per glass.
a. To find the amount of water in each glass, divide the total amount of water ([tex]\frac{1}{4}[/tex] liters) by the number of glasses (5): [tex]\frac{1}{4}[/tex] ÷ 5 = [tex]\frac{1}{20}[/tex] liters per glass. Drawing a visual representation can help understand this partitioning.
b. To express the amount in milliliters, we know that 1 liter is equal to 1000 milliliters. So, [tex]\frac{1}{20}[/tex] liters per glass = ([tex]\frac{1}{20}[/tex]) * 1000 milliliters = 50 milliliters per glass.
To distribute the 250 milliliters equally into 5 glasses, we divide 250 milliliters by 5. This calculation results in:
250 milliliters ÷ 5 = 50 milliliters per glass.
Conversion to LitersTo convert the amount in milliliters back to liters for each glass, recall that 1,000 milliliters is equivalent to 1 liter. Therefore, 50 milliliters is the same as 0.05 liters (since 50 divided by 1,000 equals 0.05).
The question is:
A pitcher of water contains [tex]\frac{1}{4}[/tex] liters of water. The water is poured equally into 5 glasses.
a. How many liters of water are in each glass? Draw a picture to support your response.
b. Write the amount of water in each glass in milliliters.
a store is having a sale on shoes. the sale is buy one pair of shoes, get one 50% off. the original price of one pair is $26.48. Dante bought several pairs of shoes, and the total cost was $317. 76. how many pairs of shoes did dante buy?
what is the domain of the function graphed below
Answer:
B on edg
Step-by-step explanation:
I just took the test
Complete the steps to solve the equation 4e2 + 2x = x-3 by graphing.
1. Write a system of equations.
y = 4e2 + 2x and y =________
2. Graph the system. Use the graphing calculator to graph each equation.
3. Identify the solutions. The
_________ of the points where the graphs of the equations
intersect are the solutions to the original equation.
The equation 4e2 + 2x = x-3 has __________
Answer:
1. x-3
3. x -coordinates
has no solution
Step-by-step explanation:
Answer:
x-3
x -coordinates
has no solution
Step-by-step explanation:
The letter J is formed by sticking up the smallest finger and folding all the other fingers into the palm of your hand with the thumb folded over them.
Final answer:
The letter J is formed by the opposition movement of the thumb toward the fingers of the same hand.
Explanation:
The subject of this question is Biology, specifically the anatomy of the hand and the movement of the thumb.
The letter J is formed by sticking up the smallest finger and folding all the other fingers into the palm of your hand with the thumb folded over them. This hand movement is an example of the opposition movement of the thumb toward the fingers of the same hand, which allows us to grasp and hold objects.
The thumb joint, which can move back and forth and up and down, but more freely than the wrist or fingers, plays a key role in the formation of the letter J.
The m∠B is two more than three times the measure of ∠C. If ∠B and ∠C are complementary angles, find the measures of both angles.
Answer:
B = 68° and C = 22°
Step-by-step explanation:
Let angle B's measure be B and angle C's measure be C.
Also note that complementary means that they sum to 90.
Now:
The m∠B is two more than three times the measure of ∠C:
we can write:
B = 3C + 2
If ∠B and ∠C are complementary angles:
B + C = 90
Putting 1st equation in 2nd, we get:
B + C = 90
3C + 2 + C = 90
4C = 90 - 2
4C = 88
C = 88/4 = 22
Now B = 3C + 2, so
B = 3(22) + 2 = 68
Hence, B = 68 degrees and C = 22 degrees
A circle with radius 9 has a sector with a central angle of 120°. What is the area of the sector. Provide step by step explanation please
The area of the sector is 84.78 square units
Area of a SectorFrom the question, we are to determie the area of the sector.
The area of a sector can be calculated by using the formula,
[tex]A= \frac{\theta}{360}\times \pi r^{2}[/tex]
Where A is the area of the sector
θ is the central angle
and r is the radius
From the give information,
θ = 120°
r = 9
and π = 3.14
Putting the parameters into the formula, we get
[tex]A = \frac{120 ^\circ}{360 ^\circ} \times 3.14 \times 9^{2}[/tex]
[tex]A = \frac{1}{3} \times 3.14 \times 81[/tex]
[tex]A = 3.14 \times 27[/tex]
A = 84.78 square units
Hence, the area of the sector is 84.78 square units
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Emma buys 3 2/3 yards of blue fabric and some yellow fabric at a store. She buys a total of 5 1/3 yards of fabric. The equation 5 1/3=3 2/3+y. can be used to represent this situation, where y is the number of yards of yellow fabric she buys. How much yellow fabric does she buy?
Answer:
1 2/3 yards of yellow fabric.
Step-by-step explanation:
5 1/3 = 3 2/3+y
5 1/3 - 3 2/3 = y
16/3 - 11/3 = y
5/3 = y
y = 1 2/3 yards of yellow fabric.
Answer:
y= # yellow fabric yards
5 1/3= 3 2/3+ y
Convert to improper fractions
((5*3)+1)/3= ((3*3)+2)/3 + y
16/3=11/3+y
Subtract both sides by 11/3
5/3=y
or
1 2/3=# yellow fabric yards
hope this helps
brainly please
Find the side length s of the square.
Area = 441 cm
S=
cm
[tex]\huge\boxed{\text{21 cm}}[/tex]
The area of a square is equal to the square of its side length. [tex]A=s^2[/tex]
Substitute in the known variable. [tex]441=s^2[/tex]
Now, find the square root of each side of the equation. [tex]\sqrt{441}=s[/tex]
Find the square root of [tex]441[/tex]. [tex]\boxed{21}=s[/tex]
During a game, a basketball team scored 38 points worth of two-pointers, 33 points worth of three-pointers, and 8 points worth of free throws. How many shots did the basketball team make during the game.( Hint: A free throw worth one point)
Answer:
38
Step-by-step explanation:
38 divided by 2 is 19
8 divided by 1 is 8
33 divided by 3 is 11
Answer:
38 shots were made.
Step-by-step explanation:
I just worked it out on paper.
Graph the inequality y<-5x
Explanation:
First, we graph the linear function of y = -5x [as though it were an equivalence symbol], then, since there is a less than sign, we shade everything to the left of that.
I am joyous to assist you anytime.
math questions, pls help me and ill reward <3 : )
Answer:
X = 6
Step-by-step explanation:
See Attachment
Enter the answer to the problem below, using the correct number of
significant figures.
30.09 + 5.55 + 80.761
Final answer:
The result of adding 30.09, 5.55, and 80.761 and rounding to the least number of decimal places (two decimal places) is 116.40, with four significant figures.
Explanation:
To solve the problem 30.09 + 5.55 + 80.761 and express the answer with the correct number of significant figures, you should first perform the addition and then round the result to the least number of decimal places of any number in the sum. The number with the least number of decimal places is 5.55 (two decimal places).
Here's the step-by-step calculation:
Add the numbers: 30.09 + 5.55 + 80.761 = 116.401
Round to two decimal places (because of 5.55): 116.40
So, the final result is 116.40, which has four significant figures and two decimal places.
The figure shown is a rectangular prism. Which edges are perpendicular QE?
Select each correct answer
A. TQ
B. PR
C. RA
D. QP
E. EJ
The edges which are perpendicular to edge QE are TQ, QP and EJ. Thus, option (A), (D) and (E) are correct.
In a rectangular prism, the edges that are perpendicular to QE are those that intersect QE at right angles.
So, for an edge to be perpendicular to QE, it should be parallel to the other two edges of the rectangle that contains QE.
From the given options:
A. TQ: This edge is perpendicular to QE because it is parallel to the edges TP and EQ.
B. PR: This edge is not perpendicular to QE because it is parallel QE.
C. RA: This edge is not perpendicular to QE because it is parallel to QE.
D. QP: This edge is perpendicular to QE as it is parallel to the edges PQ and TE, not QE.
E. EJ: This edge is perpendicular to QE as it is parallel to the edges EK and QJ, not QE.
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write an integer for the situation "An average temperature of 7 degrees below normal
The average temperature of 7 degrees below normal can be represented as the integer '-7'. This is because in mathematics, a 'below' situation often equates to a negative value.
Explanation:The situation describes 'an average temperature of 7 degrees below normal'. In the context of integers, 'below' generally refers to a negative value. Hence, we would represent this situation with the integer '-7'. This is because a below normal temperature is often regarded as a decrease or loss, which is conventionally represented in mathematics as a negative value.
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what is 9/25 as a percent
Answer:
36%
1) 1/25= 0.04
2) multiply 0.04 by 9 (0.36)
NEED ASAP PLEASE!!!!!!!!!!
To find the answer first we make an equation. This equation works for both.
c+(a*y) where c = Current height, a = Annual growth and Y = Years of growth.
Substitute for the correct numbers.
For Tree A:
38+(4*y)
And for Tree B:
45.5+(2.5*y)
Then add some to find that both are the same in 5 years for 58 inches each.
Answer:
you might neees to see if thyeare not ggoing tose if thye are noty the same because is rh on thta thye could do all the smaet hinbg
Step-by-step explanation:
nect thing they could npt going and thye are
What is a situation that can be modeled by the expression 6 * 24 - 5
Answer:
Look to the explanation
Step-by-step explanation:
* Lets think how to write a short story represents this expression
* Remember multiplication must solved before subtraction, so we
can think that:
- 6 multiply by 24 can represented by six bags each one has 24 items
- Subtract f can be represented by someone takes 5
- We can chose bags or boxes for 6
- We can chose sweets or marbles to 24
- We can say sister or brother or friend takes 5
- Lets try to make a short story to represent this situation
* Nadine has six boxes of marbles. Each bag has twenty four
marbles with different colors, she wants to give her sister
Sarah 5 marbles. Write an expression to model this situation
* The expression is 6 * 24 - 5
Answer:
Joy went to 6 shops and bought 24 candies from each shop. After returning home he gives 5 candies to his brother. Find the number of candies left.
Step-by-step explanation:
Consider the provided expression.
[tex]6 \times 24 - 5[/tex]
Here the sign "×" represents repeated addition or multiplication.
The sign "-" represents the subtraction.
To define [tex]6 \times 24-5[/tex] we can imagine any real life situation.
Joy went to 6 shops and bought 24 candies from each shop. After returning home he gives 5 candies to his brother. Find the number of candies left.
3.0823 round to three significant figures
Answer:
3.08
Explanation:
The first 3 numbers (from left to right) are the ones counted as 3 significant figures. You alreadty start of 5 significant figures. What you do is count the numbers, from left to right, and once you get to the number you're finding (in this case the 3rd significant figure), then you look at the number to the right of it and see if it's over or under 5. Depending on which one it is will determine wiether you round up or stay at the same point.
Determine the missing information in the paragraph proof.
Given: Line PQ is rotated 90° counterclockwise to form line P’Q’. The lines are perpendicular. Line PQ contains the points (a, b) and (c, d). Line P’Q’ contains the points (–b, a) and (–d, c).
Prove: The slopes of perpendicular lines are negative reciprocals.
The slopes of lines PQ and P’Q’ can be determined using the formula m = StartFraction v 2 minus v 1 Over x 2 minus x 1 EndFraction
The product of these slopes is ________. This product shows that the slopes are negative reciprocals. It is given that the lines are perpendicular and we have shown that the slopes of the lines are negative reciprocals.
Answer:
A) [tex](\frac{d-b}{c-a} )(\frac{c-a}{-d+b} )[/tex]
The product of these slopes is -1
Step-by-step explanation:
The slope of perpendicular lines are negative reciprocal.This means that when you multiply the two slopes you get -1.
To find slope of a line you apply;
m=change is y-axis values/change in x-axis values
Given that there are two lines, PQ and P'Q' then to find slope you follow;
Line PQ where P(a,b) and Q (c,d) slope,m= (d-b / c-a )
Line P'Q' where P'(-b,a) and Q'(-d,c) slope , m= ( c-a / -d+b)
Multiplying the two slopes
[tex]\frac{d-b}{c-a} *\frac{c-a}{-d+b} \\\\\\\frac{d-b}{-d+b} \\\\=-1[/tex]
Answer:
a
Step-by-step explanation:
took the test today
Write 8 2/9 as a improper fraction
The value of an improper fraction is,
⇒ 74/9
We have to give that,
A mixed fraction is,
⇒ 8 2/9
Now, Change the fraction into an improper fraction as,
⇒ 8 2/9
⇒ (8×9 + 2)/9
⇒ (72 + 2)/9
⇒ 74/9
Therefore, The improper fraction is, 74/9
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What number is 30% of 20?
(will give Brainliest)
In order to get the answer you will have to divide 30 by 100 then divide the number you get from that by 20 to receive your answer.
20/x=100/30
(20/x)*x=(100/30)*x
20=3.33333333333*x
(3.33333333333) to get x
20/3.33333333333=6
=6
Therefore your answer is "6."
Hope this helps
I poured 7/8 of a cup of water from a pitcher into a glass. Then poured another 2/3 cup. What is the change amount of the water
The change in water is 5/24 cups.
write a division sentence that divides a negative integer by a positive integer. Then write a multiplication sentence that proves your division sentence is correct.
Answer:RULE 1: The quotient of a positive integer and a negative integer is negative. RULE 2: The quotient of two positive integers is positive. RULE 3: The quotient of two negative integers is positive. If the signs are different the answer is negative.
Hope this helps
Step-by-step explanation:
We used -12 and 3 to demonstrate negative integer divided by a positive integer resulting in -4. We confirmed this by multiplying -4 by 3 to get -12 back.
Explanation:Let's use -12 and 3 as examples for a negative integer and a positive integer respectively. The division sentence would be -12 ÷ 3 = -4. To prove this division is correct using multiplication, you would multiply the quotient by the divisor. So, -4 * 3 = -12, which is equivalent to the dividend. Therefore, the multiplication shows the accuracy of the division.
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Need help with this question?
Answer:
see explanation
Step-by-step explanation:
(a)
AC = AB + BC ← substitute values
AC = x + 2 + 7x - 3 = 8x - 1
(b)
QR = PR - PQ ← substitute values
QR = 13y + 25 - (8y + 5) ← distribute parenthesis by - 1
= 13y + 25 - 8y - 5 = 5y + 20
Andy wrote the equation of a line that has a slope of StartFraction 3 Over 4 EndFraction and passes through the point (3, –2) in function notation. Step 1: y – (–2) = Step 1: y minus left-parenthesis negative 2 right-parenthesis equals StartFraction 3 Over 4 left-parenthesis x minus 3 right-parenthesis. (x – 3) Step 2: y + 2 = Step 2: y plus 2 equals StartFraction 3 Over 4 EndFraction x minus StartFraction 9 Over 4 EndFraction.x – Step 3: y + 2 + 2 = Step 3: y plus 2 plus 2 equals StartFraction 3 Over 4 x minus StartFraction 9 Over 4 EndFraction plus 2.x – + 2 Step 4: y = Step 4: y equals StartFraction 3 Over 4 EndFraction x minus StartFraction one-fourth.x – Step 5: f(x) = Step 5: f(x) equals StartFraction 3 Over 4 EndFraction x minus StartFraction one-fourth. x – Analyze each step to identify if Andy made an error. Yes, he made an error in Step 1. He switched the x and y values. Yes, he made an error in Step 2. He did not distribute StartFraction 3 Over 4 EndFraction properly. Yes, he made an error in Step 3. He should have subtracted 2 from both sides. No, his work is correct.
Answer:he made an error in Step 3. He should have subtracted 2 from both sides.
Step-by-step explanation:
Answer:
It's c
Step-by-step explanation:
He made an error in Step 3. He should have subtracted 2 from both sides.
The product of a number and 10, increased by 1
Answer:
10x+1
Step-by-step explanation:
The expression of the given description could be 10n + 1.
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically.
For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4.
If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
We have been given a statement as 'The product of a number and 10, increased by 1'
Where" the product " means multiply.
" increased " means add
Let the unknown number be n
So the expression could be;
10n + 1
Therefore, the expression of the given description could be 10n + 1 .
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1. A rectangle has a length of 15 centimeters and a width of 8
centimeters. Which of the following is closest to the radius of a
circle that has an area equal to the area of the rectangle?
Answer: radius = 6.18 (I don't know what solutions you have, but the actual answer for the radius is about 6.18 cm so which ever is closest.)
Step-by-step explanation:
the area of a circle is \pi r^{2}
*rewrite your equation solving for radius
r=\sqrt{A/\pi } =\sqrt{120/\pi } = 6.18
To find the Radius of a circle with an area equal to the area of a rectangle, multiply the length and width of the rectangle to get its area, then use the formula A = πr² to solve for the radius.
To find the Radius of a circle with an area equal to the area of a rectangle, we need to find the area of the rectangle and then calculate the radius of the circle using that area.
The area of the rectangle is found by multiplying the length and width, which in this case is 15 cm * 8 cm = 120 cm².
The area of a circle is given by the formula A = πr², where A is the area and r is the radius. Since the area of the rectangle is equal to the area of the circle, we can set up the equation 120 cm² = πr².
Solving for r, we get r ≈ 6.94 cm (rounded to two decimal places).
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