Answers
Related Questions
Point QQQ is located at (-4, 6)(−4,6)left parenthesis, minus, 4, comma, 6, right parenthesis. Point RRR is located at (8, 6)(8,6)left parenthesis, 8, comma, 6, right parenthesis.
What is the distance from point QQQ to point RRR?
Answers
=========================================================
Explanation:
Points Q and R have the same y coordinate of 6.
This means they're on the same horizontal level and we can form a number line through these points. Think of Q and R being on the x axis.
Going from -4 to 8 is a distance of 12 units because either
-4-8 = -12 which flips to +12 or 12
8-(-4) = 8+4 = 12
Effectively I used absolute value for the first part to go from -12 to 12. Distance cannot be negative.
Alternatively, you can count out the number of horizontal spaces from -4 to 8 and you should count out 12 units.
--------------------------------
If you need to use the distance formula, then this is what the steps may look like:
[tex]Q = (x_1,y_1) = (-4,6) \text{ and } R = (x_2, y_2) = (8,6)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-4-8)^2 + (6-6)^2}\\\\d = \sqrt{(-12)^2 + (0)^2}\\\\d = \sqrt{144 + 0}\\\\d = \sqrt{144}\\\\d = 12\\\\[/tex]
In my opinion, the distance formula is overkill because we can simply apply subtraction or count out the number of spaces. It's up to you which you prefer you like better. Of course be sure to follow all instructions your teacher mentions.
If the two points weren't on the same horizontal level, then we would have no choice and have to use the distance formula. Or you could use the pythagorean theorem which is effectively what the distance formula is derived from.
A mother and daughter decided to add their ages together. The sum of their ages is 76. Six years ago, the mother was 3 times the age of her daughter. How old is the daughter now?
Answers
Answer: The answer will be 19
Answer: 23 years old
Step-by-step explanation:
7m
5m
6 m
4m
5 m
5m
What is the volume of the figure?
O 116 m³
O 190 m³
O 290 m³
x 390 m³
Answers
Answer:
290 m²
Step-by-step explanation:
The volume of the figure can be found by taking the sum of the volumes of the 2 cuboid.
[tex]\boxed{\text{Volume of cuboid}=\text{length}\times\text{breadth}\times\text{height}}[/tex]
Top cuboid
Length= 4 m
Breadth= 5 m
Height= 7 m
Volume= 4(5)(7)= 140 m²
Bottom cuboid
Length= 5 m
Breadth= 6 m
Height= 5 m
Volume= 5(6)(5)= 150 m²
Total volume
Total volume
= volume of top cuboid +volume of bottom cuboid
= 290 m²
Additional:
For a similar question on volume of composite figures, do check out the following!
https://brainly.com/question/1284145Solve system of equation using elimination by addition.
Will give brainliest!!
Answers
Answer:
x = -8
y = 0
Step-by-step explanation:
The two shown equations can be added together:
x + 4y = -8
+ ( x - 4y = -8 )
The two x's would combine to make two x, the 4y and -4y cancel out to zero, and -8 added to -8 is -16:
2x = -16
Therefore, x = -8. We can plug this into the first equation to get:
-8 + 4y = -8
Subtracting 8 on both sides yields:
4y = 0
Now divide by 4 on both sides to get
y = 0
We can check these values by plugging them into the second equation:
(-8) - 4(0) = -8
-8 - 0 = -8
-8 = -8
Since -8 always equals -8, the answer is correct.
On the first day of a song release, it had 20 million streams. If the number of streams increases by 10% per day, how many streams will there be on the seventh day
Answers
Answer:
35.4 million
Step-by-step explanation:
We assume the description "increases by 10% per day" means the base of the percentage is the previous day's number of streams. Then the sequence of streams on consecutive days is a geometric sequence with a first term of 20 million and a common ratio of (1 +10%) = 1.10.
__
streams on day nThe n-th term of a geometric sequence is ...
an = a1×r^(n-1) . . . . . where a1 is the first term, and r is the common ratio
The sequence of streams on consecutive days is then ...
an = 20×1.10^(n-1) . . . . millions of streams on day n
seventh dayFor n = 7, the number of streams is ...
a7 = 20×1.10^(7 -1) ≈ 35.4 . . . . million streams
There will be about 35.4 million streams on the seventh day.
A square notepad has sides that are 10 centimeters long. What is the notepad's area?
Answers
Answer:
100cm²
Step-by-step explanation:
The notepad is square.
The area of a square = length X width.
All the sides of a square are the same length.
Therefore, the area of the notepad = 10 X 10 which equals 100.
Don't forget the units!
The units for area is cm².
The units for volume is cm³.
This is area so your answer is 100cm².
Hope this helped, have a nice day!
X is a normally distributed random variable with mean 46 and standard deviation 22.
What is the probability that X is between 2 and 90?
A. .99
B. .95
C. .85
D. .65
Answers
Answer:
B. 0.95
Step-by-step explanation:
The probability that the value of the random variable is in the given range is the area under the normal probability distribution curve over that range. The value of this area is conveniently provided by any number of calculators, apps, or spreadsheets. It can also be determined using the "empirical rule" that tells you the probability over certain normalized ranges.
__
normalized rangeA standard normal probability density function (PDF) has a mean of 0 and a standard deviation of 1. The range in this problem can be normalized to some number of standard deviations above or below the mean. The mean is given as 46, and the standard deviation is given as 22.
In this problem, the lower limit of the range is ...
z = (2 -46)/22 = -2
standard deviations from the mean.
Similarly, the upper limit is ...
z = (90 -46)/22 = +2
standard deviations from the mean.
empirical ruleThe empirical rule tells us that 95% of the area of the PDF lies between -2 and +2 standard deviations from the mean.
P(2 < X < 90) ≈ 0.95
_____
Additional comment
The empirical rule for other ranges is ...
± 1 standard deviation: 68%
±2 standard deviations: 95%
±3 standard deviations: 99.7%
Help me please
calculate the value of x in the polygon
Answers
Answer:
122.5 degrees
Step-by-step explanation:
A six sided polygon's interior angles sum to
(n-2)(180) = (6-2) (180) = 720 degrees
then x + x + x + x+10 + 130 + 90 = 720
4x = 490 so x = 122.5 degrees
Match each pair of rational numbers with their sum
Answers
The match each pair of rational numbers with their sum is:
[tex]\frac{2*(a-b)}{a^2b^2} = \frac{-2}{a^2b}+\frac{2}{ab^2}[/tex]
[tex]\frac{a-b^2}{a^2b^3} }=\frac{1}{ab^3} +\frac{-1}{a^2b}[/tex]
[tex]\frac{2ab-1}{4a^2b^2} }=\frac{1}{2ab} +\frac{-1}{4a^2b^2}[/tex]
[tex]\frac{2*(1-ab^2)}{a^2b^3} =\frac{2}{a^2b^3}+\frac{-2}{ab}[/tex]
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.
When you factor an expression using the rule a factor out a common term, it is possible simplify an expression
Then, you should factor and simplify each given algebraic expression.
[tex]\frac{2*(a-b)}{a^2b^2} =\frac{2a-2b}{a^2b^2}=\frac{2a}{a^2b^2} -\frac{2b}{a^2b^2} =\frac{2}{ab^2} +\frac{-2}{a^2b}[/tex][tex]\frac{a-b^2}{a^2b^3} }=\frac{a}{a^2b^3} -\frac{b^2}{a^2b^3} =\frac{1}{ab^3} +\frac{-1}{a^2b}[/tex][tex]\frac{2ab-1}{4a^2b^2} }=\frac{2ab}{4a^2b^2} -\frac{1}{4a^2b^2} =\frac{1}{2ab} +\frac{-1}{4a^2b^2}[/tex][tex]\frac{2*(1-ab^2)}{a^2b^3} =\frac{2-2ab^2}{a^2b^3}=\frac{2-2ab^2}{a^2b^3}=\frac{2}{a^2b^3}+\frac{-2}{ab}[/tex]
Learn more about the factoring here:
brainly.com/question/11579257
#SPJ1
Which answer choice has the set of numbers
ordered correctly from least to greatest?
16
13, √, 1.71, 9
3
√. 12, 16, 1.71
4
3
16
1.71, 12, 1
9
O
16.1.71,√, 12
3
9
Answers
Answer:
0
3
3
3
8
9
12,161.71√
I think his is the best order
Which equations graph as circles?
x² + x + y² = 4
2x + x + y² = 8
x² + y² = 5
x² + x + y = 6
x² + y² + y = 1
Answers
Answer:
A, C, and D
Step-by-step explanation:
Hope this helps!
If not, I am sorry.
Ok, so I have a math assignment that is due on Monday (so in 2 days), but I don't understand it. Here are the instructions:
You buy a pair of jeans at a department store.
Jeans_____ $39.99
Discount___ -10.00
Subtotal____ 29.99
Sales Tax___ 31.94
I have the first two questions done for this question, and I just need help on the last one. Here it is:
The price of the jeans includes a 60% markup. After the discount, what is the percent of markup to the nearest percent?
The percent of markup is __%.
Can anyone please help me?
Thanks!
Answers
Find the least common multiple of 35 and 21
Answers
Answer:
105
Multiples of 35:
35, 70, 105, 140, 175
Multiples of 21:
21, 42, 63, 84, 105, 126, 147
Answer:
105
Step-by-step explanation:
Given the following question:
We are given two numbers and we are trying to find the least common multiple (LCM) of the two. In order to find the LCM we have to find the GCM or the greatest common multiple.
[tex]35\div7=5[/tex]
[tex]21\div7=3[/tex]
[tex]GCM=7[/tex]
Now that we have the GCM we multiply 35, and 21 then divide it by the GCM.
[tex]35\times21=735[/tex]
[tex]735\div7=105[/tex]
[tex]LCM=105[/tex]
The least common multiple is "105."
Hope this helps.
Graph the line with the equation y=-x-6
Answers
Answer:
in the picture
Step-by-step explanation:
You need 2 points to graph a line.
▪︎ if x = 0, y = 0 - 6 => y = -6
1st point: (0, -6)
▪︎if y = 0, 0 = -x - 6 => x = -6
2nd point: (-6, 0)
In the following exercises, translate into an equation and solve
Kindergarten Connie’s kindergarten class has 24 children. She wants them to get into 4 equal groups. How many children will she put in each group?
Answers
Answer: 6 children
Step-by-step explanation:
Given:
Children - 24
Groups - 4
Number of children per group - x
Solve:
24 ÷ 4 = x
x = 6
Hope it helps!!! Please mark as brainliest. Thanks :D
A farmer creates a rectangular pen using part of the wall of a barn for one side of the pen and a total of 130 feet of fencing for the remaining 3 sides, as shown in the diagram. Write and equation which gives the area of the pen, A, as a function of x, the length of fence parallel to the barn
Answers
The equation that describes the which gives the area of the pen, A, as a function of x, the length of fence parallel to the barn is A = 130x - x²
How to find area of a rectangle?The pen is rectangular. Therefore,
area of a rectangle = lw
where
l = lengthw = widthTherefore,
perimeter = 2w + l
perimeter = 2w + x
130 = 2w + x
130 - x = 2w
w = 65 - 1/ 2 x
A = xw
A = x(65 - 1/ 2 x)
A = 65x - 1 / 2 x²
Therefore, the function that represents A, the area of the pen is as follows:
A = 130x - x²
learn more on rectangle here: https://brainly.com/question/12685460
#SPJ1
Giving 40 points!!! please help
Select the correct answer.
What are the solutions of this quadratic equation?
x²+4=8x+5
A.
x = 8 + √34
B.
* = 8 + 2√17
C.
x=4 ± √7
D. x=4 ± √17
Answers
Answer:
[tex]\textsf{D.} \quad x=4 \pm \sqrt{17}[/tex]
Step-by-step explanation:
Rearrange the equation so it equals zero:
[tex]\begin{aligned} x^2+4 & =8x+5 \\ \implies x^2+4-8x-5 & = 0\\x^2-8x-1&=0\end{aligned}[/tex]
Now use the quadratic formula to solve for x:
[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0[/tex]
[tex]a=1, \quad b=-8, \quad c=-1[/tex]
[tex]\implies x=\dfrac{-(-8) \pm \sqrt{(-8)^2-4(1)(-1)}}{2(1)}[/tex]
[tex]\implies x=\dfrac{8 \pm \sqrt{68}}{2}[/tex]
[tex]\implies x=\dfrac{8 \pm \sqrt{4\cdot 17}}{2}[/tex]
[tex]\implies x=\dfrac{8 \pm \sqrt{4}\sqrt{17}}{2}[/tex]
[tex]\implies x=\dfrac{8 \pm 2\sqrt{17}}{2}[/tex]
[tex]\implies x=4 \pm \sqrt{17}[/tex]
[((a ^ 2 - 25b ^ 2) ^ 3 + (25b ^ 2 - 9c ^ 2) ^ 3 + (9c ^ 2 - a ^ 2) ^ 3)/((a - 5b) ^ 3 + (5b - 3c) ^ 3 + (3c - a) ^ 3)]
Answers
The factorization is [(a + 5b)/(a - 5b)]³ + [(5b + 3c)(5b - 3c)]³ + [(3c + a)(3c - a)]³
To answer the question, w e need to know what factorization is
What is factorization?Factorization is the breaking down of a larger expression into smaller expression by grouping it into its factors.
So, [{(a² - 25b²}³ + {25b² - 9c²}³ + {9c² - a²}³)/{(a - 5b)³ + (5b - 3c)³ + (3c - a)³}]
= [{(a² - (5b)²}³ + {(5b)² - (3c)²}³ + {(3c)² - a²)})/{(a - 5b)³ + (5b - 3c)³ + (3c - a)³}]
Using the fact that x² - y² = (x + y)(x - y) in the terms in the numerator, we have
[{(a - 5b)(a + 5b)}³ + {(5b - 3c)(5b + 3c)}³ + {(3c - a)(3c + a)}³/{(a - 5b)³ + (5b - 3c)³ + (3c - a)³}]
Factorizing out the denominator, we have
= [{(a + 5b)/(a - 5b)}³ + {(5b + 3c)/(5b - 3c)}³ + {(3c + a)/(3c - a)}³[(a - 5b)³ + (5b - 3c)³ + (3c - a)³]/{(a - 5b)³ + (5b - 3c)³ + (3c - a)³}]
Cancelling out the denominator, we have
= [(a + 5b)/(a - 5b)]³ + [(5b + 3c)(5b - 3c)]³ + [(3c + a)(3c - a)]³
So, the factorization is [(a + 5b)/(a - 5b)]³ + [(5b + 3c)(5b - 3c)]³ + [(3c + a)(3c - a)]³
Learn more about factorization here:
https://brainly.com/question/26257992
#SPJ1
A sector of a circle has central angle 120 degrees and arc length 10π
centimeters. What is the radius of the circle
Answers
Answer:
the radius = 15 cmStep-by-step explanation:
let r be the radius of the circle.
→ We know that in circle , the length of an arc
and the corresponding central angle are proportional.
180 corresponds to πr
120 corresponds to 10π
Then
[tex]\frac{\uppi r}{180} =\frac{10\uppi }{120}[/tex]
[tex]\Longrightarrow r=\frac{180\times 10\pi }{120\pi } =\frac{180}{12} =15[/tex]
its so hard can you guys help
Answers
Answer:
1593 pandas 13 years ago.
Difference? ≈271 pandas
Keyword:
"Increase"
Step-by-step explanation:
Use the equation:
x + (x × P%) = y
x(1 + P%) = y
x = 1864/(1 + 17%)
x = 1864/(1 + 0.17(17%))
x = 1864/1.17
x = 1593.1624 ≈ 1593
Factor 4x² - 121 a) (2x + 11) (2x + 11) b) (2x - 11) (2x - 11) (2x + 11) (2x - 11) d) (4x + 11) (4x - 11)
Answers
Answer:
(2x-11)(2x+11)
Step-by-step explanation:
2x-11 × 2x+11 yields
4x^2 + 22x -22x +121
22x subtracts itself and final result is
4x^2 -121
Which equation represents a population of 300 animals that increases at an annual rate of 23% ?
Answers
Answer:
300+(300 + 0.23x)
Step-by-step explanation:
I'm not sure what you are asking but this is the only equation I can get
Convert 650 ml into litres
Answers
Answer:
.65 litres
Step-by-step explanation:
Fawzia has an action figure collection of 500 action figures. She keeps 58% of the action figures on her wall. How many action figures does she keep on her wall?
Answers
Answer:
290
Step-by-step explanation:
Formula :
Number of action figures on wall = Total number of figures × % of figures on wall
=============================================================
Given :
⇒ Total number of action figures = 500
⇒ % of action figures on wall = 58%
=============================================================
Solving :
⇒ Action figures on wall = 500 × 58%
⇒ Action figures on wall = 500 × 58/100 (all % are ratios of 100%)
⇒ Action figures on wall = 5 × 58
⇒ Action figures on wall = 290
Total action figures
58% of 5000.58(500)2.9(100)290action figuresDone!
Find the height of the trapezoid.
Answers
Answer:
height = 7
Step-by-step explanation:
[tex]2\cdot\frac{42}{8.7 + 3.3} = 7[/tex]
!!20 POINTS AND BRAINLIEST!!! HELP ASAP!!!
How much ribbon would be needed to go around a package that had a length 2x^2+3x-5/x^2+x-3 centimeters and width x^2-x-5/x^2+x-3 centimeters?
(show work)
Answers
Answer:
23cm
Step-by-step explanation:
If you multiply like terms you will get the answers. Then you add last to get 23cm
The required length ribbon needed to go around the package is 2(3x^2 + 2x -10) / (x^2 + x - 3).
Given that,
Package that had a length of 2x^2+3x-5/x^2+x-3 centimeters and width x^2-x-5/x^2+x-3.
How much ribbon would be needed to go around the package in centimeters is to be determined.
Perimeter is the measure of the figure on its circumference.
The rectangle is a four-sided polygon whose opposites sides are equal and has an angle of 90° between its sides.
Quantity of ribbon = perimeter of the rectangular package
= 2 * length + 2* width
= 2 * (2x^2+3x-5/x^2+x-3) + 2(x^2-x-5/x^2+x-3)
= 2 (3x^2 + 2x -10) / (x^2 + x - 3)
Thus, the required length of ribbon needed to go around the package is 2(3x^2 + 2x -10) / (x^2 + x - 3).
Learn more about perimeter here:
brainly.com/question/6465134
#SPJ2
1¿Cuál es el signo del resultado de la suma de dos números enteros negativos?
y escribir un ejemplo...
2¿Cuál es el signo del resultado de la suma de dos números enteros con signos diferentes?
y escribir un ejemplo
Answers
La suma de dos números enteros negativos siempre será negativa. El signo de la suma de dos números enteros con signos diferentes dependera de cual tiene mayor valor absoluto.
¿Cuál es el signo del resultado de la suma de dos números enteros negativos?
La suma de dos números A y B se escribe como:
A + B.
Sí ambos números son negativos, los podemos escribir como:
A = -a
B = -b
Donde a y b son positivos.
Entonces la suma de esos dos nos dará:
(-a) + (-b) = -(a + b).
Es decir, el resultado de la suma es un número negativo.
Un ejemplo es sí tomamos:
A = -1
B = -4
(-1) + (-4) = -(1 + 4) = -5.
¿Cuál es el signo del resultado de la suma de dos números enteros con signos diferentes?En este caso dependerá de que número tenga mayor valor absoluto.
Por ejemplo, sí usamos:
A = 2
B = -4
2 + (-4) = -2
El resultado es negativo, pues el número negativo tiene mayor valor absoluto.
Por otro lado, sí tenemos:
A = -2
B = 4
(-2) + 4 = 2
El resultado es positivo, pues el número positivo tiene mayor valor absoluto.
Sí quieres aprender más sobre sumas:
https://brainly.com/question/11562149
#SPJ1
A carpenter has a board that is 8 feet long. He cuts off 2 pieces. One piece is 3 1/2 feet long and the other is 2 1/3 feet long. How much of the board is left? IM SO SORRY THIS QUESTION ISN’T MULTIPLE CHOICE PLS FORGIVE ME
Answers
Answer:
2 1/6
Step-by-step explanation:
The answer is 2 1/6 because you should start by adding 3 1/2 + 2 1/3. This equals 5 5/6 feet. You should then subtract 8 - 5 5/6 because you are figuring out how much is left. When you subtract 8 - 5 5/6, you get 2 1/6. So 2 1/6 feet of the board is left.
Hope this helps!
4 out of every 7 students in a school eat a packed lunch. The rest eat a school meal.
Which of the following statements is correct?
47% of students eat a school meal
The ratio of school meal to packed lunch is 7 : 4
The ratio of packed lunch to school meal is 4 : 3
56% of students eat a packed lunch
Answers
So the ratio is 4:3
The first steps in determining the perimeter of triangle ABC are shown.
To the nearest whole unit, what is the perimeter of triangle ABC?
6 units
8 units
14 units
16 units
Answers
Answer:
C) 14 Units
Step-by-step explanation:
E2020