Answer:
Step-by-step explanation:
(√10)²=10
1. (2 1/2)²=(5/2)²=25/4=6.25
2. (3 1/5)²=(16/5)²=256/25=10.24
3. 3²=9
4. (1/10)²=1/100=0.01
we see 10.24 is near to 10
so 3 1/5 is closest.
What are the possible vaules of x it (4x-5)2=49?
[tex]\boxed{The\:value\:of\:x\:is\:7.375.}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex](4x - 5)2 = 49 \\ ⇢8x - 10 = 49 \\⇢8x = 49 + 10 \\ ⇢8x = 59 \\ ⇢x = \frac{59}{8} \\ ⇢x = 7.375[/tex]
Therefore, the value of x is 7.375.
[tex]{ \bf{ \underbrace{To\:verify :}}}[/tex]
[tex](4x - 5)2 = 49 \\ ⇢(4 \times 7.375 - 5)2 = 49 \\ ⇢(29 .5 - 5)2 = 49 \\ ⇢24.5 \times 2 = 49 \\ ⇢49 = 49 \\ ⇢ L.H.S.=R. H. S[/tex]
Hence verifed.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
Kathy has a circular hot tub in her backyard with a radius of 5.5 feet. She wants to place a decorative border around the circumference of the hot tub. If the border costs $6.70 per foot, how much will the border for the hot tub cost?
Select the values that make the inequality n > -8 true.
(Numbers written in order from least to greatest going across.)
Answer:
9
Step-by-step explanation:
I'm somewhat confused I think you're forgot to put so more information
The value that makes the inequality n > -8 true will be -2. Thus, the correct option is A.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The inequality is given below:
n > -8
The value of n is greater than -9. Then the value that makes the inequality n > -8 true will be -2.
Thus, the correct option is A.
More about the inequality link is given below.
https://brainly.com/question/19491153
#SPJ2
The missing options are given below.
a) - 2
b) - 9
c) - 10
d) - 20
What should be done first to simplify 22/2 • 3/9 • 4
Answer:
44/3
Step-by-step explanation:
Reduce 22/2 to 11, 3/9 to 1/3:
11(1/3)(4)
Working from left to right:
11(4)
------ = 44/3
3
Answer:
Step-by-step explanation:
simplify 22/2 then multiply it by 3/9
then multiply that answer by 4 and your total will be 14.6
The wild things pet store has 4 birdcages with 6 canaries in eacg cage. The pet store also has a birdcage with i oarakeets. Which expression shows the number of birds in wild things pet store?
Answer:
(4 * 6) + 8
Step-by-step explanation:
The Wild Things Pet Store has 4 birdcages with 6 canaries in each cage. The pet store also has a birdcage with 8 parakeets. Which expression shows the number of birds in Wild Things Pet Store?
Solution:
Each birdcage contain 6 canaries, therefore since there is a total of 4 birdcages, the number of canaries in the 4 bird cages is given by:
Number of canaries = 4 birdcages * 6 canaries per birdcage
Also, there is one birdcage with 8 parakeets, hence the number of parakeets is:
Number of Parakeet = 1 birdcage * 8 parakeet per birdcage = 8 parakeet
The total number of birds in the Pet store = number of canaries + number of parakeet
number of birds in the Pet store = (4 * 6) + 8
If 6x − 8 = 7x, then 13x =_____?
what is the mean to this
Sample #2
21 14 0 3 6
7 10 11 7 9
14 0 15 5 12
20 0 12 11 6
0 21 14 0 6
Answer:
44.8
Step-by-step explanation:
What is the equation of the line that passes through the points (4,-1 ) and (-7,4 )?
Answer:
[tex] \large{ \tt{❃ \: STEP- BY - STEP \: EXPLANATION}} : [/tex]
Let the equation of line passes through the points A ( 4 , - 1 ) and B ( - 7 , 4 ) . Let A ( 4 , -1 ) be ( x₁ , y₁ ) & B ( - 7 , 4 ) be ( x₂ , y₂ )[tex] \large{ \tt{❁ \: LET'S \: START}} : [/tex]
Using two - point form of the equation of straight line , we have :[tex] \boxed{ \large{ \bf{❀ \: y -y _{1} = \frac{y_{2} - y_{1} }{x_{2} - x_{1}} (x - x_{1)}}}}[/tex]
- Plug the values :
[tex] \large{ \bf{⇢ \: y - ( - 1) = \frac{4 - ( - 1)}{ - 7 - 4}(x - 4) }}[/tex]
[tex] \large{ \bf{⇢y + 1 = \frac{4 + 1}{ - 11} (x - 4)}}[/tex]
[tex] \large{ \bf{⇢ \: y + 1 = - \frac{5}{11} (x - 4)}}[/tex]
[tex] \large{ \bf{⇢y + 1 = - \frac{5}{11}x + \frac{20}{11} }}[/tex]
[tex] \large{ \bf{⇢y + 1 = \frac{ - 5x + 20}{11} }}[/tex]
[tex] \large{ \bf{⇢11(y + 1) = - 5x + 20}}[/tex]
[tex] \large{ \bf{⇢11y + 11 = - 5x + 20}}[/tex]
[tex] \large{ \bf{⇢5x + 11y + 11 - 20 = 0}}[/tex]
[tex] ⇢ \boxed{\large{ \bold{\bf{5x + 11y - 9 = 0}}}}[/tex]
♕ Hence , 5x + 11y - 9 = 0 is the required equation of the line.✺ The two most important days in your life are the day you are born and the day you find out why ! ♪
♡ Hope I helped! ツ
☪ Have a wonderful day / evening ! ☼
# StayInAndExplore ! ☂
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Plot ΔABC on graph paper with points A(3,3), B(1,1), and C(6,1). Reflect ΔABC by multiplying the y-coordinates of the vertices by −1. Then use the function (x,y)→(x−6,y−3) to translate the resulting triangle. Name the coordinates of the vertices of the result.
Question 3 options:
A'(-3,3), B'(-1,1), C'(-1,6)
A'(-6,-3), B'(-4,-5), C'(-4,0)
A'(3,-3), B'(1,-1), C'(6,-1)
A'(-3,-6), B'(-5,-4), C'(0,-4)
Plot ΔABC on graph paper with points A(10,4), B(-1,1), and C(4,2). Reflect ΔABC by multiplying the x-coordinates of the vertices by −1. Then use the function (x,y)→(x−5,y+4) to translate the resulting triangle. Name the coordinates of the vertices of the result.
Question 4 options:
A'(-4,-10), B'(-1,1), C'(-2,-4)
A'(-8,15), B'(-5,4), C'(-6,1)
A'(-10,4), B'(1,1), C'(-4,2)
A'(-15,8), B'(-4,5), C'(-9,6)
Answer:
First one would be D (( A'(-3,-6), B'(-5,-4), C'(0,-4) ))
The second would be D (( A'(-15,8), B'(-4,5), C'(-9,6) )) as well
True or False
3 is a factor of n(n + 2)(n − 1) by mathematical induction.
Explain why.
true true true true true true true
Answer:
false
Step-by-step explanation:
3(3+2)(3-1) is not =0
The factor of n(n+2)(n-1) = 1
I NEED HELP PLEASE IT WOULD HELP ME ALOT
Answer:
Step-by-step explanation:
21 is the side opposite the angle you want.
67 is the hypotenuse. Those two sides define the Sin
Sin(theta) = opposite / hypotenuse
Sin(theta) = 21 / 67
Sin(theta) = .313432
theta or x = sin-1(0.313432)
x = 18.27
Sorry, I must have hit the wrong key the first time.
Answer:
18.27˚
Step-by-step explanation:
Simplify: -10m + 2m4 – 13m – 20m4
Answer:
-23m-18m^4
Step-by-step explanation:
-10m+2m^4-13m-20m^4
(-10m+-13m)+(2m^4-20m^4)
-23m+-18m^4
-23m-18m^4
If this helps please mark as brainliest
What additional information is needed to prove that ∆LPM and ∆OPN are congruent by SAS postulate?
A. ∠P ≅ ∠P
B. ∠LPO ≅ ∠MPN
C. ∠LPM ≅ ∠OPN
D. ∠PON ≅ ∠PLM
Answer:
hggh
Step-by-step explanation:bmv,g,vg,cvbbgfghvc
WILL MARK BRAINLIEST!!!
Jamie is going on a trip to visit her grandparents. The airline allows each suitcase to hold 50 pounds. She has already packed clothes and other things that weigh a total of 26 pounds. The inequality p + 26 ≤ 50 can be used to see how much more she can pack in the suitcase.
Why is this problem written as an inequality instead of an equation?
Answer:
Because the airline allows each suitcase to hold up to 50 pounds, and it doesn't force them to hold exactly 50 pounds
Answer:
Step-by-step explanation:
b/c she doesn't have to have exactly 50 pounds, she can have any were from 0 to 50 pounds in each suit case. They are not going to charge her more, if she only brings 49 pounds :DDDD It's the same charge up to and including 50 pounds. If she brings 51 pounds then maybe she would get charged more :P But not for 50 pounds or less . :) Make sense?
14.How long will it take a car to go from a complete stop to 44 km/hr if they are accelerating at 5
km/hr2?
Answer:
8.8
Step-by-step explanation:
Solve using the Quadratic Formula
5x2-3x-7=0
A)
B)
C)
D)
Answer:
C) [tex]\displaystyle x=\frac{3 \pm \sqrt{149}}{10}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]\displaystyle x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}[/tex]Step-by-step explanation:
Step 1: Define
Identify
5x² - 3x - 7 = 0
↓
a = 5, b = -3, c = -7
Step 2: Solve for x
Substitute in variables [Quadratic Formula]: [tex]\displaystyle x=\frac{3 \pm \sqrt{(-3)^2-4(5)(-7)}}{2(5)}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle x=\frac{3 \pm \sqrt{9-4(5)(-7)}}{2(5)}[/tex][√Radical] Multiply: [tex]\displaystyle x=\frac{3 \pm \sqrt{9+140}}{2(5)}[/tex][√Radical] Add: [tex]\displaystyle x=\frac{3 \pm \sqrt{149}}{2(5)}[/tex][Fraction] Multiply: [tex]\displaystyle x=\frac{3 \pm \sqrt{149}}{10}[/tex]hi, can you please show me the solution on this one?
How many different batting orders can a coach make from the 9 players?
362,880
9
40,320
i'll give brainliest if you're right! thanks in advance..
Answer:
362,880
Step-by-step explanation:
Since there are 9 possible players for the first position, 8 for the 2nd (1 is taken off), 7 for the 3rd, etc. So you would multiply these numbers together. So there are 362,880 different possible batting orders.
Kevin will take 4 math tests this term. All of the tests are worth the same number of
points. After taking the first 3 tests, his mean test score is 88 points. How many points
does he need on his last test to raise his mean test score to 90 points?
Answer:
96
Step-by-step explanation:
Total of 4 test at 90
90 * 4 = 360
Current total
88 * 3 = 264
Score needed
360 - 264 = 96
Answer:
96
Step-by-step explanation:
this is how i solved it:
88 x 3 = 264 ( the sum of the three test score )
now i just gotta look for a number to add to 264 that will give me 90 (the wanted mean score) if i divide the sum by 4 (the four test scores).
so the equation would be:
(264 + x) / 4 = 90
264 + x = 360
x= 96
PLS HELP ILL GIVE BRAINLIEST
Answer:
answer is 8
Step-by-step explanation:
take Lcm of 8 and 32
Answer:
8
Step-by-step explanation:
A garden hose is leaking 1 liter of water every 1/8 hour. How many liters of water will it leak in 3 ¾ hours? *
pleasee helppp i have 15 assignments to finish plus a final exam in 4 hours !!
f(x) = square root of (-7 + 2) - 6
f(x) =square root of (-5) - 6
f(x) = 2.236 = 2.2 - 6
f(x) = -3.8
F(x) = √x+2 -6
F(x) = √7+2 -6
F(x) = 3-6
F(x) = -3
What is the range for 42 42 52 53 58 58 61
Answer:
range would be 19
Step-by-step explanation:
Answer:
I have to say -282
Step-by-step explanation:
The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest. The answer gives you the range of the list.
Un estudiante debe recorrer dos tercios de kilómetro para llegar al colegio, si avanza medio kilómetro en bus y lo demás a pie ¿Cuánto le falta caminar?
Answer:
Al estudiante le falta caminar [tex]\frac{1}{3}[/tex] de kilómetro.
Step-by-step explanation:
Un estudiante debe recorrer dos tercios de kilómetro para llegar al colegio. Dos tercios equivale a la fracción [tex]\frac{2}{3}[/tex] .
El estudiante avanza medio kilómetro en bus. Un medio equivale a la fracción [tex]\frac{1}{2}[/tex], por lo tanto un medio es la mitad de una cantidad. Para calcular la distancia recorrida en bus se realiza la siguiente multiplicación:
[tex]\frac{1}{2} *\frac{2}{3}[/tex]
Resolviendo:
[tex]\frac{1}{2} *\frac{2}{3} =\frac{1*2}{2*3} =\frac{2}{6} =\frac{1}{3}[/tex]
Entonces, la distancia recorrida en bus es [tex]\frac{1}{3}[/tex] de kilómetro.
Para calcular la distancia recorrida a pie se calcula la diferencia entre la distancia total a recorrer por el estudiante y la distancia recorrida en bus. Esto es:
[tex]\frac{2}{3} - \frac{1}{3}[/tex]
Resolviendo:
[tex]\frac{2}{3} - \frac{1}{3}=\frac{2-1}{3} =\frac{1}{3}[/tex]
Al estudiante le falta caminar [tex]\frac{1}{3}[/tex] de kilómetro.
On a map, 1 inch equals miles. Two houses are inches apart on the map. What is the actual distance between the houses? Use pencil and paper. Show how you can represent the scale with two different ratios.
Answer:
The actual distance between the houses is 18.9 miles.
Step-by-step explanation:
The exact question is as follows :
Given - On a map, 1 inch equals 5.4 miles. Two houses are 3.5 inches apart on the map.
To find - What is the actual distance between the houses?
Solution -
Given that,
1 inch = 5.4 miles
⇒3.5 inches = 3.5 × 5.4 miles
= 18.9 miles
∴ we get
The actual distance between the houses is 18.9 miles.
Someone please help me thank you
Answer:
x = -8, y = 4
Step-by-step explanation:
3x + 3y = -12 (1)
x + 6y = 16 (2)
Multiply (2) by 3
3x + 18y = 48 (3)
3x + 3y = -12 (1)
Subtract (1) from (3) to eliminate x
18y - 3y = 48 - (-12)
15y = 48 + 12
15y = 60
y = 60/15
y = 4
Substitute y = 4 into (1)
3x + 3y = -12 (1)
3x + 3(4) = -12
3x + 12 = -12
3x = -12 - 12
3x = -24
x = -24/3
x = -8
x = -8, y = 4
The perimeter of a triangular park is (16x + 3) feet. Two of the sides are 5x - 1 and 2x + 5. What is the missing length?
Answer:
9x - 1
Step-by-step explanation:
A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees
Area of a triangle = 1/2 x base x height
the perimeter of a triangle = sum of the side lengths
missing length = perimeter - sum of the two sides
sum of the two sides = (5x -1) + (2x + 5) = 7x + 4
missing length = 16x + 3 - (7x + 4) = 9x-1
There are 12 sixth graders, 11 seventh
graders, and 13 eighth graders on a
soccer team. The coach randomly selects
one student to collect all of the soccer
balls. In how many ways can choosing
not an eighth grader occur?
Answer: 1
Step-by-step explanation:
because there not the only ones on the team
PLS HELP I WILL GIVE BRAINLIEST
Step-by-step explanation:
[tex]6 {x}^{2} {y}^{3} - 2x + 10 \\ when \: x = 5 \: y = - 3 \\ 6( {5})\: ^{2} ( { - 3})^{3} - 2(5) + 10 \\ 6 (25)( - 27) - 10 + 10 \\ = - 4050[/tex]
Which statement is true? 1. Parallelism are frameworks 2. A square is always a rhombus 3.A rhombus is always a square 4. A rectangle is a trapezoid
Answer:
2
Step-by-step explanation:
A square is a quadrilateral with four equal sides.
Characteristics of a square includes:
• The diagonals bisect each other at 90°.
• Opposite sides parallel and of equal length
• The four angles of a square are equal.
A rhombus is a four sides quadrilateral with the four sides equal in length
The area of a rhombus =
where p and q are the two diagonals
Volume of a pyramid = 1/3 x ( length base x height)
6. Mary worked 27 hours last week. If she gets paid $12/hour, what is her
gross pay?
Answer:
324
Step-by-step explanation:
you would multiply 27 × 12 and that would equal 324