Ans) The prime factorization of 90 is 2 × 3 × 3 × 5.
is _____. hjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj
Answer:
o.6
Step-by-step explanation:
I think sorry if wrong
Solve the inequality 2x²+x-3<0
Answer:
[tex]-\frac{3}{2} <x<1[/tex]
Step-by-step explanation:
[tex]2x^{2} +3x-2x-3<0[/tex]
[tex]x(2x+3)-(2x+3)<0\\(2x+3)(x-1)<0\\When 2x+3=0 or x-1=0 \\x= -\frac{3}{2},1[/tex]
[tex]x<-\frac{3}{2} \\-\frac{3}{2} <x<1\\x<1[/tex]
Guinea,Liberia,Sierra Leone have a total population of 12,348,000. In those countries 1% of the people have been infected with the Ebola virus. About 50% of those infected have died. How many people have died?
Answer:
1% of 12,348,000 = 123,480
50% of 123,480 = 61,740 people have died
What is the slope of the line y = 3?
Answer:
zero
Step-by-step explanation:
How to solve the triangle given one angle and 2 sides. I want help solving the problem not just an answer, thanks.
A. Use the law of cosines:
29² = 34² + c ² - 2•34•c cos(30.3°)
Use a calculator to solve for c ; notice this equation is quadratic, you get two possible solutions, c ≈ 5.973 ≈ 6 or c ≈ 52.738 ≈ 53.
Then use the law of sines to solve for the two possibles measures of angle C :
sin(30.3°)/29 = sin(C )/c
sin(C ) = c sin(30.3°)/29
sin(C ) ≈ 0.1039 or sin(C ) ≈ 0.9175
C ≈ 6.0° or C ≈ 66.6°
The interior angles of any triangle sum to 180°, so the remaining angle has measure either
B = 180° - 30.3° - C
B ≈ 143.7° or B ≈ 83.1°
So to recap,
B ≈ 143.7°, C ≈ 6.0°, c ≈ 6
and
B ≈ 83.1°, C ≈ 66.6°, c ≈ 53
Which expression is equivalent to 2(8n)^4
Answer:
2. 8n. 8n. 8n. 8n
Step-by-step explanation:
[tex]2 {(8n)}^{4} = 2. 8n. 8n. 8n. 8n[/tex]
Equivalent expressions are expressions with equal value.
The equivalent expression of [tex]\mathbf{2\cdot(8n)^4}[/tex] is [tex]\mathbf{2\cdot(8n)\cdot(8n)\cdot(8n)\cdot(8n)}[/tex]
The expression is given as:
[tex]\mathbf{2\cdot(8n)^4}[/tex]
Apply law of indices
[tex]\mathbf{2\cdot(8n)^4 = 2\cdot(8n)\cdot(8n)\cdot(8n)\cdot(8n)}[/tex]
The above equation means that:
[tex]\mathbf{2\cdot(8n)\cdot(8n)\cdot(8n)\cdot(8n)}[/tex] is equivalent to [tex]\mathbf{2\cdot(8n)^4}[/tex]
Hence, the correct option is (d) [tex]\mathbf{2\cdot(8n)\cdot(8n)\cdot(8n)\cdot(8n)}[/tex]
Read more about equivalent expressions at:
https://brainly.com/question/24242989
A force of 720 newtons stretches a spring 3 meters. A mass of 60 kilograms is attached to the end of the spring and is initially released from the equilibrium position with an upward velocity of 6 m/s. Find the equation of motion.
Answer:
7.6
Step-by-step explanation:
Directions: Find the missing wall in feet.
Answer:
2.6?:))))
......
Solve for x and y please
Answer:
x = 20°
y = 19°
Step-by-step explanation:
The first two angles that are in the 2nd Quadrant:
2x - 3
3x - 7
The rule states that the two angles are complimentary angles that form an angle of 90°. So,
(2x - 3) + (3x - 7) = 90
2x - 3 + 3x - 7 = 90
2x + 3x - 3 - 7 = 90
5x - 10 = 90
5x = 90 + 10
5x = 100
x = 100 ÷ 5
x = 20
Another rule applies here, vertical angles are equivalent to each other.
So,
2x - 3 = 2y - 1
2(20) - 3 = 2y - 1
40 - 3 = 2y - 1
37 = 2y - 1
37 + 1 = 2y
38 = 2y
38 ÷ 2 = y
19 = y
if a point in quadrant 2 is reflected in y-axis, its image will lie in quadrant
Answer:
quadrant 1
hope this helps
Starbucks medium roast coffee costs $10.98 for 20 ounces. What is the unit rate per ounce?
Answer:
1 ounce is .549 cents
Step-by-step explanation:
Answer:
The unit rate per ounce is $0.55.
Step-by-step explanation:
1.11111 as a fraction
Answer:
Answer:
1.11111=111111100000
Showing the work
Rewrite the decimal number as a fraction with 1 in the denominator
1.11111=1.111111
Multiply to remove 5 decimal places. Here, you multiply top and bottom by 105 = 100000
1.111111×100000100000=111111100000
Simplify the improper fraction,
=111111100000
In conclusion,
1.11111=111111100000
Step-by-step explanation:
The fraction equivalent of the repeating decimal 1.11111 is 10/9. This means that 1.11111 is equivalent to 10/9, indicating a ratio of 10 parts to 9 parts. Simplifying the fraction ensures that it is in its simplest form with no common factors between the numerator and the denominator other than 1.
To express the decimal 1.11111 as a fraction, we can use algebraic manipulation. Let's denote the repeating decimal as x:
x = 1.11111...
To eliminate the repeating part, we can multiply x by 10:
10x = 11.11111...
Now, we can subtract the original equation from the multiplied equation to eliminate the repeating part:
10x - x = 11.11111... - 1.11111...
Simplifying the equation:
9x = 10
Dividing both sides by 9:
x = 10/9
Therefore, the fraction equivalent of the repeating decimal 1.11111 is 10/9. This means that 1.11111 is equivalent to 10/9, indicating a ratio of 10 parts to 9 parts. Simplifying the fraction ensures that it is in its simplest form with no common factors between the numerator and the denominator other than 1.
For more details of fraction equivalent of the repeating decimal:
https://brainly.com/question/19473335
#SPJ6
6.
Circumference is the same as the area of a circle.
a. True
b. False
Answer:
TRUE
Step-by-step explanation:
i just know it :>
Glue at a store is worth $1.60. The store adds a 30% mark up to the glue in order to make a profit. How much is the mark up?
A .32
B. .59
C. .48
D. 2.08
Answer:
2.05
Step-by-step explanation:
so first you want to find 30% of 1.60, you get 0.45.
then you add 0.45 to 1.60, and get your answer at 2.05.
hope that’s helps!
Answer:
2.05
Step-by-step explanation:
Daniela has 2 1/4 basketball games left to play in a tournament, and she has 3/4 gallon of water left to drink. If she drinks the same amount of water each game, how much water can she drink each game? *
Answer:
1/3 gallons of waterStep-by-step explanation:
If Daniela has 2 1/4 basketball games left to play in a tournament, and she has 3/4 gallon of water left to drink, since she drinks the same amount in each game, we can say;
2 1/4 games = 3/4 gallons
To calculate how much he has to drink in a game, this can be expressed as;
1 game = x gallon
Solve for x;
2 1/4 games = 3/4 gallons
1 game = x gallon
Cross multiply
3/4 = 2 1/4x
3/4 = 9/4 x
9x/4 = 3/4
cross multiply;
9x * 4 = 4*3
36x = 12
x = 12/36
x = 1/3
Hence she can drink 1/3 gallons of water in each game.
-9 < 8(r - 17) - 1
Solve for r
Answer:
15.875 < r
Step-by-step explanation:
-9 < 8(r - 17) - 1
-9 < 8r - 137
+137 +137
------------------
128 < 8r
/8 /8
-------------
16 < r
Answer:
r>16
Step-by-step explanation:
1.) Add 11 to both sides.
-9+1<8(r-17)−9+1<8(r−17)
2.) Simplify -9+1−9+1 to -8−8.
-8<8(r-17)−8<8(r−17)
3.) Divide both sides by 88.
-1<r-17−1<r−17
4.) Add 1717 to both sides.
-1+17<r−1+17<r
5.) Simplify -1+17−1+17 to 16.
16<r16<r
6.) Switch sides.
r>16r
What is the equation of the line that passes through the point (2,-4) and has a slope of -2
Answer:
The answer is
[tex] \huge y = - 2x[/tex]
Step-by-step explanation:
To find an equation of a line when given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
From the question we have
[tex]y + 4 = - 2(x - 2) \\ y + 4 = - 2x + 4 \\ y = - 2x + 4 - 4[/tex]
We have the final answer as
y = -2xHope this helps you
The advertising sticker on Allen's
new car says it gets 36 miles per
gallon on the highway. The graph
represents the actual relationship
between the number of miles Allen
drove on the highway and the
gallons of gasoline his new car used.
How does the advertised gas
consumption rate compare to the
actual rate?
Answer:
Step-by-step explanation:
The rate in this case is slope of the line. The formula of a slope is m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
(10, 325)
(4, 130)
m = [tex]\frac{325-130}{10-4}[/tex] = [tex]\frac{195}{6}[/tex] = 32.5 miles per gallon
The actual rate is less (better) than advertising.
I only have 2 more including this pls help
Answer:
"Some irrational numbers are whole numbers" False
"All rational numbers are integers" False
"All integers are whole numbers" False
"No integers are irrational numbers" True
Step-by-step explanation:
I'm 100% sure of this
Please explain your answer guys? First to answer gets brainliest!
Answer:
[tex]m=\frac{-5}{6}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points on the graph.
Point (-4, 4)
Point (2, -1)
Step 2: Find slope m
Substitute: [tex]m=\frac{-1-4}{2+4}[/tex]Subtract/Add: [tex]m=\frac{-5}{6}[/tex]And we have our answer!
+12=15 pls tell me it’s for a grade
Answer:
3+12=15
Step-by-step explanation:
15-12= 3
3+12=15
(GIVING BRAINLIEST TO WHO HELPS ME!!)
What causes lightning?
A) Build up of electric charges in the clouds
B) Flow of electric charges among clouds
C) Light energy created in the clouds
D) Reflection of light by the clouds
Answer:
B
C and D are already out of the picture since we know lightning is not just light.
Answer:
Build up of electric charges in the clouds (A)
Step-by-step explanation:
As Sally was shopping for a turkey tree for Thanksgiving, she looked at 48 trees. Of those, she found that 7/8 of them were too small. How many of the trees were too small?
Answer:
42 treesStep-by-step explanation:
48/1 x 7/8 = 6/1 x 7/1 (Simplify 48 and 8 because they have the common factor of 8)=42/1= 42Answer:
Forty-two (42) of the trees were too small.
Step-by-step explanation:
Find 7/8 of 48.
[tex]\frac{7}{8}[/tex] = 0.875
Multiply the quotient (0.875) by 48 to find [tex]\frac{7}{8}[/tex] of 48.
0.875 × 48 = 42
Is the graph increasing, decreasing, or constant where -3
Solve six and two sixths times one and one half.
Answer:
9.5
Step-by-step explanation:
a line passes through the point (-8,6) and has a slope of 3/4 in general form
Answer:
y = 3/4x + 12
Step-by-step explanation:
let equation of the line be y = 3/4x + b
sub (-8, 6):
6 = 3/4(-8) + b
12 = b
therefore equation of the line is y = 3/4x + 12
Topic: Coordinate Geometry
If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!
Answer:
General Form of Equation of a line that passes through the point (-8,6) and has a slope of 3/4 is:
[tex]\frac{3}{4}x-y+12=0[/tex]
Step-by-step explanation:
We need to find equation of line that passes through the point (-8,6) and has a slope of 3/4 in general form.
The general form of linear equation is [tex]Ax+By+C=0[/tex]
First we will use slope-intercept form i.e, [tex]y=mx+b[/tex] to find equation and then write it in general form.
Where m is slope and b is y-intercept.
We are given slope = 3/4 but y-intercept is not given and we need to find.
Finding y-intercept
Using the point (-8,6) and slope m = 3/4 we can find y-intercept
[tex]y=mx+b\\6=\frac{3}{4}(-8)+b\\6=3(-2)+b\\6=-6+b\\b=6+6\\b=12[/tex]
So, y-intercept b is 12
Equation of line
The line has slope m=3/4 and y-intercept b is 12, the equation is:
[tex]y=mx+b\\y=\frac{3}{4}x+12[/tex]
General Form of Equation of a line that passes through the point (-8,6) and has a slope of 3/4 is:
[tex]\frac{3}{4}x-y+12=0[/tex]
Someone please help me Dan and Beth are selling flowers for a school fundraiser customers can buy bags of rows and daffodils Dan sold 1 bag of roses and 1 bag of daffodils for a total of $12 Beth sold 1 bag of roses and 3 bags of daffodils for a total of $28 what is the cost each flower
there 2 question help meeeeeeeeddeeeeeee plzzzzzzzzzzzzzzzz
Answer:
Step-by-step explanation:
x + 87 + 20 = 180 {Angle sum property of triangle}
x + 107 = 180
x = 180 - 107
x = 73
1) Exterior angle of a triangle equals the sum of opposite interior angles or remote angles.
2) x = 63 + 86
x = 149
HELPPPPP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
Answer:
7. <35
8.<5
9.>50
Step-by-step explanation:
simple mathematics
f(x)=−3x 2 −6x+1 Find f(8)
Answer:
-239
Step-by-step explanation:
-3(8) 2-6(8)+1
-192-48+1
-240+1
=-239
Answer:
-239
Step-by-step explanation: