Arithmetic sqaure: a + (n-1) * d
where "a" is the first term, "d" is the common difference
Here given:
a = 10 gallons
d = 5.5 gallons
nth term: 10 + (n-1) * 5.5Solve for first 5 terms:
10 + (1-1) * 5.5 = 10
10 + (2-1) * 5.5 = 15.5
10 + (3-1) * 5.5 = 21
10 + (4-1) * 5.5 = 26.5
10 + (5-1) * 5.5 = 32
first five terms: 10, 15.5, 21, 26.5, 32
General formula
a_n=a+(n-1)da_n=10+(n-1)5.5So
a_1=10a_2=10+5.5=15.5a_3=10+11=21a_4=10+16.5=26.5a_5=10+22=32a_6=10+27.5=37.53. 03 MC
Stella and Jonathan have been paying their 30-year mortgage since they bought their home two years ago. This year, they want to go on
vacation and are considering skipping two payments to pay for their vacation instead. What could be a future consequence of this behavior
A decreased credit risk
A lower credit score
OD
Lower interest rates
Oo
A credit boost
Answer: a lower credit score
Step-by-step explanation:
Answer:
Step-by-step explanation:
lower crdit score
write an inequality to express the relationship between -2 and -5?
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
The inequality that express the relationship between -2 and -5 is : " greater than " or " > "
[tex]\qquad \tt \dashrightarrow \: - 2 > - 5[/tex]
Which lines best approximate the directrices of the ellipse? Round to the nearest tenth.
x = −4.6 and x = 4.6
x = −3.5 and x = 3.5
y = −4.6 and y = 4.6
y = −3.5 and y = 3.5
Answer is C
Edge 2022
C aka y = -4.6 and y = 4.6
Step-by-step explanation:
i just took the unit review test on edg. :)
Answer:
The Answer is c have a good day...
Step-by-step explanation:
A cereal box in the shape of a rectangular prism has a volume of 18x^3 - 3x^2 - 6x. What are three possible linear expressions for the dimensions of the cereal box?
From factoring, the volume of a rectangular prism can be written as:
3x * (2x+1) * (3x-2).
FactoringIn math, factoring or factorization is used to write an algebraic expression in factors. There are some rules for factorization. One of them is a factor out a common term for example: x²-x= x(x-1), where x is a common term.
The question gives: 18x³-3x²-6x. You can see that, initially, 3x is a common term. Therefore, you can write: 3x * (6x²-x-6) . Nonetheless, the question also asks 3 linear expressions, here only you have one (3x).
Thus, you should factor the expression (6x²-x-6) into two linear expressions: (2x+1)* ( 3x-2).
Thus, the volume of a rectangular prism can be written as:
3x * (2x+1) * (3x-2)
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ABCD ~ EFGH
C
B
G
3
140°
F
4.5
2
y
50°
110°
A
D
E
2.4
H
y =
[tex]z=110[/tex][tex]A[/tex]
is your final answer. Pls makr me brainiest
The value of y is 3 units.
What are similar figures?This characteristic is referred to as resemblance or comparable figures when two or more items or figures appear to be the same or equal based on their shapes. These figures always superimpose one another regardless of how they are magnified or diminished. When two shapes, such triangles, polygons, or quadrilaterals, have the same dimension or common ratio but a different size or length, they are referred to as comparable figures in geometry.
Given quadrilateral's are similar
ABCD ≈ EFGH
for similarity the angles of both figures are equal and ratio of length of their sides are equal,
so AB/EF = BC/FG = CD/GH = DA/HE
we have AB = 3, EF = 2
CD = 4.5 and GH = y
substitute the values
3/2 = 4.5 /y
y = (4.5 x2)/3
y = 3 units.
Hence the measure of y is 3 units.
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Any whole number that can be represented in base 10 can also be represented in base 2, although it may take ____ digits.
Answer:
More
Step-by-step explanation:
Any whole number that can be represented in base 10 can also be represented in base 2, although it may take more digits.
I’m game shows 30% is taken from your prize earnings. How much would a game show give you in order to equal 1 hundred thousand, after taxes?
I already have the equation worked out-
100,000= Y- (30%xY)
You gotta find Y
Answer:
$142,857.14
Step-by-step explanation:
As per the question,
Y = prize money$100,000 is the money you get30% is deducted from YSolving for Y
Convert 30% to decimal formDivide 30% by 100%30%/100% = 0.3Now, solve the equation.100,000 = Y - 0.3Y100,000 = 0.7Y100,000 = 7Y/10Y = 1,000,000/7Y = $142,857.14A cone has a base area of 20 square inches and a height of 27
inches. A cylinder has a base area of 20 square inches and a height
of 27 inches. What can we say about the volumes of the shapes
when we compare them?
E E E E E E E E E E E E E E EE E E E E E E E E E E E E E E E E E E
PLEASE ANSWER ASAP
The table represents the distance and height for softball travels after being hit by the batter.
use a quadratic regression model to find the height of the softball when it travels 12 feet. round to the nearest foot.
The height of the softball when it travels 12 feet using the quadratic regression model is 5.53 foot.
What is the correlation coefficient?Correlation coefficient is used to calculate how strong the relationship is between the two variables.
When there is a statistical relationship between two or more variables, then they are said to be in correlation.
The table represents the distance and height for softball travels after being hit by the batter.
Distance x (ft) Height y (ft) 0 5 2 25 4 37 6 42 8 34 10 26Mean 5 28.167The mean of the data of distance is 5 and the mean of the data of height is 28.167. The correlation coefficient is 0.9938.
The quadratic regression model for this model is given as,
[tex]y=5.29+11.78x-0.98x^2[/tex]
At the 12 feet, the value of height y is,
[tex]y=5.29+11.78(12)-0.98(12)^2\\y=5.53[/tex]
Hence, the height of the softball when it travels 12 feet using the quadratic regression model is 5.53 foot.
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You and your friends go to the diner and order burgers and drinks. Each burger costs $8.00 and one soda costs $2.50. Combined, you and your friends order twice as many burgers as you do sodas, s.
a. Write an algebraic expression that represents the number of hotdogs you and your friends want to buy.
b. Combined, you and your friends can spend no more than a $100 gift card. Write an inequality that represents the number of burgers and sodas you and your friends can buy.
C. Solve your inequality from part b. and state the maximum number of sodas that can be purchased.
The answers to your questions are as we have them below:
a. s ( 2 burgers + 1soda )
b. s ( $16.00 + $2.50) ≤ $100
c. The maximum number of sodas that can be purchased is 5.40 sodas
Algbraic expressionAn algebraic expression is an expression containing integer constants, variables and algebraic operations
Detailed solution of the above is given below:
One Burger costs $8.00
One soda costs $2.50
Combined = s (2burgers + 1soda)
where s is the number of persons ordering.
a. s ( 2 * $8.00 + $2.50 )
s ( $16.00 + $2.50) = s($18.50) assuming that the hotdogs will be the total amount to be spent
b. if the cant spend more than a $100 gift card, the inequality will be
s ( $16.00 + $2.50) ≤ $100
s($18.50) ≤ $100
s ≤ [tex]\frac{100}{18.50}[/tex] = 5.40
Therefore the number of burgers and soda they can buy is
5.40 (2burgers + 1soda) = 10.80 burgers and 5.40sodas
c. s ( $16.00 + $2.50) ≤ $100
s($18.50) ≤ $100
s ≤ [tex]\frac{100}{18.50}[/tex] = 5.40
The maximum number of sodas that can be purchased is 5.40 sodas
In conclusion, the algebraic expression for the orders you and your friends will make combined is: s ( 2 burgers + 1soda )
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Explain to The Answer to Please
Answer:
X cord: 1
Y cord: -2
Step-by-step explanation:
X cord is left to right and is one point right.
Y Cord is up and down and is 2 down. the - implies negative because the point is down.
(If you need help with this or other problems Here is a good website to help, https://www.splashlearn.com/math-vocabulary/geometry/coordinate-plane)
Can someone help???????????
Answer:
red ---- 77 degrees
Step-by-step explanation:
An airline tracks how many bags its passengers bring with them. The 7 most recent passengers brought the following numbers of bags:
4 bags ,2 bags ,3 bags ,1 bag ,3 bags ,4 bags ,3 bags
What was the mode of the numbers of bags?
Answer:
the mode is 3
Step-by-step explanation:
mode is the number that accurse the most
Answer:
mode is 3
Step-by-step explanation:
Answer above is correct.
An ice cream factory makes 220 quarts of ice cream in 10 hours. How many quarts could be made in 36 hours? What was that rate per day?
( I will mark brainliest, please answer+explain!)
Answer:
For 36 hours, that would be 792 quarts. The unit rate is 528 quarts per day.
Step-by-step explanation:
If you divide 36 by 10, you get 3.6, and then you multiply that with 220. That gets you 792 quarts for 36 hours. To find out the rate per day, do 24 divided by 10, and then multiply that by 220.
Which equation is y = (x 3)2 (x 4)2 rewritten in vertex form?
The vertex form of the provided equation y = (x 3)2 (x 4)2 is expressed as (x+3.5)²+0.5.
What is the vertex form of parabola?Vertex form of parabola is the equation form of quadratic equation, which is used to find the coordinate of vertex points at which the parabola crosses its symmetry.
The standard equation of the vertex form of parabola is given as,
y=a(x-h)^2+k
Here, (h, k) is the vertex point.
The given equation is
[tex]y = (x +3)^2 +(x+ 4)^2\\y=x^2+9+6x+x^2+16+8x\\y=2x^2+14x+25[/tex]
To convert this equation, into the vertex form, follow the following steps,
[tex]y=2(x^2+7x+12.5)\\y=2((x+3.5)^2-12.25+12.5)\\y=(x+3.5)^2+0.5[/tex]
Thus, the vertex form of the provided equation y = (x 3)2 (x 4)2 is expressed as (x+3.5)²+0.5.
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What is the explanation and answer to
6x-4(x-3)
If –3 i is a root of the polynomial function f(x), which of the following must also be a root of f(x)? –3 – i –3i 3 – i 3i
If -3 + i is a root of the polynomial function f(x), -3 - i must also be a root of f(x)
How to determine the true statement?The root of the polynomial function is given as:
-3 + i
The above root is a complex root.
If a polynomial has a complex root, then the conjugate of the root is also a root of the function
The conjugate of -3 + i is -3 - i
Hence, if -3 + i is a root of the polynomial function f(x), -3 - i must also be a root of f(x)
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Answer:
A on edge
Step-by-step explanation:
Select all the expressions that have a value of 22 – 33 + 29. help a girl out! <3
Answer:
2. 8³ - 14 × 6² - 2
4. |-6|
5. 7² - 3.1 - 19 × 2.1
Step-by-step explanation:
To find the expressions, find the solution of the given equation, then solve for each answer choice to see if the soultions match. If they do, then the expressions are equivalent.
2² - 3³ + 29
4 - 27 + 29 = 6
6 is the value were looking for.
1. (78 ÷ 3) - [tex]2^{4}[/tex]
(78 ÷ 3) - 16
26 - 16
= 10
not equal
2. 8³ - 14 × 6² - 2
512 - 14 × 36 - 2
512 - 504 - 2
= 6
equal
3. -|-6|
= -6
not equal
4. |-6|
= 6
equal
5. 7² - 3.1 - 19 · 2.1
49 - 3.1 - 19 · 2.1
49 - 3.1 - 39.9
45.9 - 39.9
= 6
equal
Hence, choices 2, 4, and 5 have a value of 2² - 3³ + 29.
hope this helps!
The total weight for the
murderer, x, and his/her luggage, y, was 230lbs. The
weight of the murderer was 10lbs less than twice the
weight of the luggage.
Equations
Answer:
x=110lbs and y=120lbs
Step-by-step explanation:
[tex]Solution,\\\\x+y=230lbs\\\\[/tex]
When the weight of x is 10lbs less than y,
Then,
[tex]x=y-10lbs[/tex]
Now we have,
[tex]\hookrightarrow x+y=230lbs\\\\\hookrightarrow (y-10lbs)+y=230lbs\\\\\hookrightarrow 2y-10lbs=230lbs\\\\\hookrightarrow 2y=230lbs+10lbs\\\\\hookrightarrow 2y=240lbs\\\\\hookrightarrow y=240lbs/2\\\\\hookrightarrow y=120lbs[/tex]
Again,
As x=y-10lbs
Then,
[tex]\hookrightarrow x=y-10lbs\\\\\hookrightarrow x=120lbs-10lbs\\\\\hookrightarrow x=110lbs[/tex]
Without graphing, determine the range of the function f(x) = -5|x+2|-7 over
the interval [-10, 5].
A.[-47,-7]
B.[-47,-42]
C.[-7,-42]
D[-2,-7]
Answer: A
Step-by-step explanation:
If the diameter of the small can is 4 cm and its height 6 cm, find its total surface area, in cm².
Answer:
100.53cm2 if I'm not mistaken. or 32π cm2
calculate the shaded area
Answer:
6.75[tex]\pi[/tex] or 21.2
Step-by-step explanation:
Find the area of the small circle using [tex]\pi r^{2}[/tex]
Plug in 1.5 for r to get 2.25[tex]\pi[/tex]
Find the area of the big circle using [tex]\pi r^{2}[/tex]
Plug in 3 for r to get 9[tex]\pi[/tex]
Subtract the area of the small circle from the big circle to get 6.75[tex]\pi[/tex] or 21.2
e Stefan’s family rented a rototiller to prepare an area in their backyard for spring planting. The rental company charged an initial fee of $43 with an additional fee per hour. If they paid $64 after renting the rototiller for 7 hours, what was the hourly fee?
If h represents the hourly fee, which equation models this problem?
What was the hourly fee for the rototiller?
Answer:
1) h=(64-43)
-----------
7
Make sure to add brackets
2)Answer is $3 per hour
Step-by-step explanation:
For 2)
h = (64-43)----------
7
h = 21-----
7
h = 3Hope it helps
BYE
I don’t know how to do this question
Pls help simple math
Answer:
[tex]y = \frac{-2}{3}[/tex]
Step-by-step explanation:
[tex]f(x)=-1[/tex], means thsat you replace all the x with -1. Then after you replace it you simplify the fraction.
[tex]f(x)=-1[/tex]
Equation: [tex]f(x) = \frac{x-1}{3}[/tex]
Steps:
1. [tex]f(-1)= \frac{(-1)-1}{3}[/tex]
2. [tex]f(-1)= \frac{-2}{3}[/tex]
Answer:
[tex]f(-1)= \frac{-2}{3}[/tex]
Answer:y=-2/3
Step-by-step explanation:
Explain how you could use mental math to estimate the number of soccer balls it would take to produce a total weight of 1 ton
What is the probability that a randomly selected person who tested positive for the flu is vaccinated? startfraction 465 over 2,321 endfraction startfraction 465 over 1,236 endfraction startfraction 465 over 950 endfraction startfraction 465 over 485 endfraction
Answer:
49%
Step-by-step explanation:
465 + 485 = 950
465/950 = .489
.489 * 100 = 48.9, round up for 49 to get 49%, since it's only focused on people who tested positive, you would only have to compare the people in that column
Answer: b
Step-by-step explanation:
thirteen less than the total of a number and eight. write as an expression
Neptune is about how many times as far from the Sun as Mars is from
the Sun?
Neptune - 2,800,000,000
Mars= 142,000,000
Solution:
Answer:
Neptune is 4.495 billion far from the sun and mars is 227.9 million km
the anwer is 4.2671 i guess
1. What is the simplified form of the rational expression below?
3.22_10x-8
22-1-12
[tex]\dfrac{3x^2-10x-8}{x^2-x-12}\\\\\\=\dfrac{3x^2-12x+2x-8}{x^2 -4x +3 x -12}\\\\\\=\dfrac{3x(x-4)+2(x-4)}{x(x-4)+3(x-4)}\\\\\\=\dfrac{(x-4)(3x+2)}{(x-4)(x+3)}\\\\\\=\dfrac{3x+2}{x+3}[/tex]