Answer:
Step-by-step explanation:
Basic quadratic equation has this following form:
[tex](x-x_{1})(x-x_{2})=0[/tex]
where x1 and x2 are the roots.
For [tex]x_{1}=1[/tex] and [tex]x_{2}=2[/tex], we can find:
[tex](x-1)(x-2)=0 \rightarrow x^{2}-2x-x+2=0 \rightarrow x^{2}-3x+2=0[/tex]
B. Solve the following. Write your solutions and final answers in your notebook.
1. To relieve her stress from work. Tina would always watch the fishes moves around her 90 cm wide, 70 cm high, and 45 cm long aquarium. If the aquarium is filled halfway through its height; how much volume of water is in it?
2. Elisha has a swimming pool in their house that measures 10 m long, 5 m wide and 1 m high. Approximately, how much will she be paying for the water supply of her swimming pool, if the water costs P27.25 per cubic liter?
3. Myla bought a jar shaped like a rectangular prism having a length of 130 cm, a width of 70 cm, and a height of 110 cm. How much water is needed to fill the jar?
4. A truck with dimensions 9 feet long, 7 feet wide, and 5 feet high is delivering sand for a sand sculpture competition. How many trips must the truck make to deliver 945 cubic feet of sand?
5. Create a problem on volume and prepare a solution to your problem based on the figure below:
I need best answer please
The volume of water contained in this aquarium that is filled halfway through its height is equal to 141,750 cm³.
The volume of a right prism.Mathematically, the volume of a right prism is calculated by using this formula:
Volume = length × width × height
Given the following data:
Length = 45 cm.Width = 90 cm.Height = 70 cm.Based on the information, the aquarium is filled halfway through its height. Thus, the height of water is given by:
H = 70 × 0.5
H = 35 cm.
Substituting the parameters into the formula, we have;
Volume = 45 × 90 × 35
Volume = 141,750 cm³.
How to calculate the volume?Mathematically, the volume of Elisha's swimming pool is given by:
Volume = length × width × height
Volume = 10 × 5 × 1
Volume = 50 m³.
Now, we can calculate the cost of water supply:
Cost = 27.25 × 50 × 10³
Cost = P1,362,500.
How to calculate the volume of water.Mathematically, the volume of a rectangular prism is given by this formula:
Volume = length × width × height
Volume = 130 × 70 × 110
Volume = 1,001,000 cm³.
How to calculate the number of trips.Firs of all, we would determine the volume of this truck:
Volume = length × width × height
Volume = 9 × 7 × 5
Volume = 315 ft³.
Now, we can calculate the number of trips:
Number of trips = 945/315
Number of trips = 3 trips.
Read more on rectangular prism here: brainly.com/question/3867601
Can you help me out?
1) Unanswered (Sorry)
2) Find the cost of a four-line ad
[tex]x = 4 \\Therefore,\\c(4) = 30[/tex]
3) Find the cost of a ten-line ad
[tex]x = 10\\Therefore,\\c(10) = 30 + 5(x - 4)\\c(10) = 30 + 5x - 5(4)\\c(10) = 30 + 5x - 20\\c(10) = 30 + 5(10) - 20\\c(10) = 30 + 50 - 20\\c(10) = 60[/tex]
Jogging is one of the few sports that has been consistently increasing over the past few years. The number of people jogging (in millions) from the years 2000 to 2009 is given by the equation y=x+22, where x is the number of years after 2000.
a. Use this equation or a graph of it to complete the ordered pair (4, ).
b. Write a sentence explaining the meaning of the answer to part (a).
c. If this trend continues, how many joggers will there be in 2021 ?
a. Complete ordered Pair
(4, )
Answer:
a. (4, 26)
b. The number of people jogging in 2004 was 26 million.
c. 43 million
Step-by-step explanation:
To complete the ordered pair, use the given first value of the pair as the value of the variable in the equation. Evaluate the equation to find the second value of the ordered pair:
a.y = x +22
y = 4 +22 = 26
The ordered pair is (4, 26).
__
b.The ordered pair tells you (years after 2000, number of joggers in millions). That means the ordered pair (4, 26) tells you 4 years after 2000, there were 26 million joggers.
__
c.21 years after 2000, the value of x is 21, so the value of y is ...
y = 21 +22 = 43
There will be 43 million joggers in 2021.
It takes _____________ for the minute hand to travel from one number to the next.
A) 10 minutes
B) 15 minutes
C) 1 minute
D) 5 minutes
Answer:
D)
Step-by-step explanation:
Because -12 to 1 is 5 min.
Answer:
it takes five minutes for the minute hand to travel from one number to the next
Step-by-step explanation:
5
PLEASE EXPLAIN SO I CAN UNDERSTAND
Which of the following numbers
could be the absolute value of
another number?
A -425
B 1,200
C -1,300
D-2,525
Answer:
Step-by-step explanation:
Essentially, recall what an absolute value function is.
When you plug number into an absolute value function, or make it an absolute value, you will ALWAYS get a positive version of that number.
When the question asks, what number could be the absolute value of another number, it's asking you what is a possible outcome of making a number an absolute value.
Since we know that making any number an absolute value, makes that number positive. We can get rid of all of the negative answers.
You are left with B.
Answer:
B. 1200
Step-by-step explanation:
Absolute value is the non-negative version of a number/variable. Whether the sign is negative or positive, the absolute value is always positive.
Example:
|-4|=4
|2|=2
Caleb placed 3 yellow balls and 4 red balls in a row.
How many visually distinct rows are possible?
A)210
B)70
C)144
D)35
Answer:
I think it's C)144. because I think it's C
Caleb placed 3 yellow balls and 4 red balls in a row. The possible visually distinct rows are 144.
What is the combination?Each of the different groups or selections can be formed by taking some or all of a number of objects, irrespective of their arrangments is called a combination.
It is given that Caleb placed 3 yellow balls and 4 red balls in a row.
So, visually distinct rows are possible
= 4 x 3 x 2 x 3 x 2
= 144
Thus, The possible rows are 144.
Learn more about combinations;
https://brainly.com/question/19692242
Find the edge length of the cube. 0.064m\
The length would be 0.4
Which of the following equations are true for the number 5? (Select all that apply)
a 4 ÷ ⬜ = 4/5
b ⬜ ÷ 1/5 = 25
c 1/5 = ⬜ ÷ 5
d 4 ÷ ⬜ = 1/5
Answer:
A. True
B. True
C. False
D. False
Roberto’s science grade is calculated using a weighted average quizzes are worth 25% homework is worth 10% unit tests are worth 30% and labs are worth 35%. Roberto earned an average of 94% on his quizzes, 99% on his homework, 92% on his unit test, and 94% on his labs. What is Roberto’s final science grade?
93.3%
93.9%
94.8%
95.3%
Answer:
the answer should be 93.9% let know if in wrong
Roberto's science grade as per weighted average is equals to 93.9%.
What is average?
" Average is defined as the ratio of total of all the given data to the total number of quantities in the data."
Formula used
Weighted average'W' = ( ∑[tex]w_{i} x_{i}[/tex] ) / ( ∑[tex]w_{i}[/tex] ) , where i = 1, 2,.... n
W= weighted average
n = number of terms to be averaged
w = weight applied to x values
x = data values to be averaged
According to the question,
Given,
Weight applied to quiz 'w₁' = 25%
Weight applied to homework 'w₂' = 10%
Weight applied to to unit tests 'w₃'= 30%
Weight applied to labs 'w₄' = 35%
Average on quiz Roberto earned 'x₁'= 94%
Average on homework Roberto earned 'x₂'= 94%
Average on unit test Roberto earned 'x₃'= 94%
Average on labs Roberto earned 'x₄' = 94%
Substitute the values in the formula we get,
Weighted average
= [ (25 × 94) +(10× 99) + (30 × 92) +(35 ×94)] / ( 25+10+30+35)
= (2350 +990 + 2760 + 3290) / 100
= 9390 / 100
=93.9%
Hence, Roberto's science grade as per weighted average is equals to 93.9%.
Learn more about weighted average here
https://brainly.com/question/18554478
#SPJ2
A ladder reaches a window 30ft above the ground and the foot of the ladder is 16ft from the wall.How long is the ladder?
Find a function whose graph is a parabola with vertex (4,-5) and that passes through the point (2, 3).
Answer:
4 ,-5
Step-by-step explanation:
I hope it's helpful for youWhich of the following shows the correct solution steps and solution to 7x- 4 = -182 7x - 4 = -18 71 - 4+4= -18 + 4 72 = -14 A. 72 -14 7 7 = -2 70 – 4= -18 72 - 4+4= -18 + 4 70 = -14 7x - 14 -7 -7 B. = 2
Answer/Step-by-step explanation:
7x- 4 = -182
Step:
Add 4 to both sides
7x - 4 + 4 = -182 + 4
Simplify
7x = -178
Divide both sides by 7
7x/7 = -178/7
Simplify
x = -178/7
Decimal form = -25.4285714286
~lenvy~
Answer:
x = -178/7
Step-by-step explanation:
Given us that:
Which of the following shows the correct solution steps and solution to 7x- 4 = -182
Thus, the steps are:
Adding 4 to both sides
7x - 4 = -182
+4 +4
------------------------
7x = -178
Divide both sides by 7
7x/7 = -178/x
Simplify
x = -178/7
Solution - x = -178/7
[RevyBreeze]
A jogger burned 96 calories during 8 minutes of jogging. At that rate, how
many calories would be burned during 14 minutes of jogging?
Proportions are created when we set two ratios equal to each other. They help us convert between rates.
Example:
[tex]\dfrac{4\hspace{3}stars}{8\hspace{3}hearts}=\dfrac{6\hspace{3}stars}{x\hspace{3}hearts}[/tex]⇒ In this example, we are solving for x.
⇒ Question example: For every 4 stars, there are 8 hearts. How many hearts will there be for 6 stars?
To solve proportions, we can cross multiply. This means multiplying the numerator of one fraction by the denominator of the other fraction.:
[tex]\dfrac{4\hspace{3}stars}{8\hspace{3}hearts}=\dfrac{6\hspace{3}stars}{x\hspace{3}hearts}\\\\4x=6*8[/tex]
Solving the QuestionWe're given:
8 minutes of jogging = 96 calories burned14 minutes of jogging = ? calories burnedSet up a proportion:
[tex]\dfrac{8\hspace{3}minutes}{96\hspace{3}calories}= \dfrac{14\hspace{3}minutes}{x\hspace{3}calories}[/tex]
⇒ Let x be equal to the number of calories the jogger would burn in 14 minutes.
Cross multiply:
[tex]8x=14*96\\8x=1344\\x=168[/tex]
AnswerTherefore, the jogger would burn 168 calories in 14 minutes of jogging.
The number 3 is a factor of _________.
A) 4
B) 8
C) 12
=================================================
3 is a factor of 12 because 12 is evenly divisible by 3
4 and 8 are not evenly divisible by 3.
the key word here is evenly (without a remainder)
===================================================
note:-Hope everything is clear; if you need any more explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
Aaron bought 14.6 gallons of gas for $1.98 per gallon. How much did he spend on gas?
Answer:
= 29$ (to the nearest dollar)
Step-by-step explanation:
14.6 gallons of gas
1 gallon = 1.98$
14.6 gallons = 14.6 × 1.98$
= 28.90800$
= 29$ (to the nearest dollar)
Find the length of AB.
Answer:
6.286
Step-by-step explanation:
♢C=⊙/360x 22/7x D
=45/360x22/7x16
=6.286
Does anyone mind giving me a hand answering this question?
Answer:
A. x = 4
B. ∠C = 80°
Step-by-step explanation:
A.The sum of interior angles in a pentagon is 540°. We can write an equation for the sum of angles using this fact. Clockwise from lower left, we have ...
140° +(20x)° +100° +(16x +16)° +(160 -5x)° = 540°
31x +416° = 540° . . . . . . collect terms
31x = 124° . . . . . . . . . . subtract 416°
x = 4
__
B.The measure of angle C is found by substituting the value of x into the given expression for angle C.
(16x +16)° = (16(4) +16)° = 80°
Angle C is 80°.
_____
Additional comment
It can be useful to remember that the sum of interior angles of an n-gon is ...
(180°)(n -2)
This can be derived from the fact that the sum of exterior angles is always 360°.
These relations apply to convex polygons. YMMV when there are reflex angles or when sides cross each other.
A baker has 3 pounds of dried fruit. Each batch of a recipe she is making uses 1/2 pound of the fruit. How many batches can she make?
Find all the common factors of 8 and 12.
A) 2, 4
B) 1, 2, 4
C) 1, 2, 4, 8
Answer:
B is the answer
Step-by-step explanation:
Hope it helps.
Can someone help me solve this please, I'm stuck.
The expression (3a + 2b)^7 is a binomial expression;
The coefficient of the fourth term is 15120
How to determine the coefficient fourth term?The equation is given as:
(3a + 2b)^7
The above expression is a binomial expression;
Assume the expression is:
(x + y)^n
The equation of the expansion is:
[tex](x + y)^n = ^nC_r * x^{n-k} * y^k[/tex]
When the expression is expanded, the parameters of the fourth term are
n = 7
r = 4
x = 3a
y = 2b
So, we have:
(3a + 2b)^7 = 7C4 * (3a)^(7-4) * (2b)^4
Evaluate each factor
(3a + 2b)^7 = 35 * (3a)^3 * (2b)^4
Evaluate the powers
(3a + 2b)^7 = 35 * 27a^3 * 16b^4
Evaluate the product
(3a + 2b)^7 = 15120a^3b^4
The coefficient of the above expression is 15120
Hence, the coefficient of the fourth term is 15120
Read more about binomial expressions at:
https://brainly.com/question/13602562
Yesterday, Salma had 387 baseball cards. Today, she gave 141 away. How many cards does Salma have left?
Answer:
387-141=246
Step-by-step explanation:
387
- 141
-------------
246
please answer this question
Daito and Shoto are earning money to grow their College Savings Accounts. Daito has $780 in the College Savings Account and adds $47 each month. Shoto has $220 in the College Savings Account and adds $82 each month. How long until they have the same amount of money? What is the total amount of money they will both have in their COLLEGE SAVINGS ACCOUNTS?
Answer:
16months
=$1532
Step-by-step explanation:
Daito
780+47x=220+82x
780-220=82x-47x
560=35x
x=16
=16 months
Which reason best explains why m^10n^3 is NOT equal to (mn)^13?
Answer:This law of exponents can only be used when the bases are equal.
Step-by-step. explanation:
May someone please help me on this one
the greatest will be + 567
then 78 ; 0 ; - 6,7 ; - 6,78 ; - 45 and the least one = - 99
please it’s not hardHow many points are contained on a line?
infinitely many
20.000
none
Answer:
Infinitely many
Step-by-step explanation:
Infinitely many points are contained on a line.
Answer:
infinitely many
Step-by-step explanation:
A line consists of infinitely many points.
hope this helps!! p.s. i really need brainliest :)
Simplify -7 1/8 - (-9 1/2)
Answer:
Convert 7 1/8 to an improper fraction.
Simplify 7 * 8 to 56
-56 + 1/8 - (-9 1/2)
Simplify 56 + 1 to 57
-57/8 - (-9 1/2)
Convert 9 1/2 to an improper fraction.
-57/8 - (-9 * 2 + 1/2)
Simplify 9 * 2 to 18
-57/8 - (-18 + 1/2)
Simplify 18 + 1 to 19
-57/8 - (-19/2)
Simplify brackets
-57/8 + 19/2
Find the LCD
LCD = 8
Make the denominators the same as the LCD
-57/8 + 19 * 4/2*4
Simplify. Denominators are now the same
-57/8 + 76/8
Join the denominators
-57 + 76/8
Simplify
19/8
Convert to a mixed fraction.
2 3/8
Your answer is D.
Step-by-step explanation:
mitchell has a small bag with 12 m& ms
Answer:
You may want to add more context to this question.
Step-by-step explanation:
Which angles are alternate interior angles?
Answer:
Step-by-step explanation:
∠DEH=∠IHE (alternate angles)
Bobs store is making money selling products and he has $200 in his bank account. He saves $50 every week. How much money does bob have after 10 weeks.
W = Weeks
T = Total
Answer in equation