Answer:
544
Step-by-step explanation:
Distributive Property: a*(b +c) = (a*b) + (a*c)136 * ( 8 + (-4 ) = 136 * 8 + [ 136 * (-4) ]
= 1088 - 544
= 544
Find the theoretical probability of choosing perfect squares from the natural numbers from 2 to 100
inclusive.
25÷5=5 if five dot is throw in the air the probability of five seeing on the dot will be slim
A rectangle measures 2(3x - 1) cm by (2x + 3) cm. If its perimeter is 98 cm what are the dimensions of this rectangle?
Answer:
the dimensions of the rectangle are 34cm and 15cm
Step-by-step explanation:
proof:
p= (2 × 34) + (2 × 15)
=68 + 30
= 98
hope this helps!!
Answer: 34x15
Step-by-step explanation:
A rectangle
Knowing the properties of a rectangle, the opposite sides are equal and parallel.
Determine formula
Since both sides are equal, our formula is [tex]((2(3x-1))*2)+((2x+3)*2)=98[/tex]
Solve for X
Side 1:
[tex]((2(3x-1))*2)[/tex]
[tex]((6x-2)*2)[/tex]
[tex](12x-4)[/tex] simplified
Side 2:
[tex]((2x+3)*2)[/tex]
[tex](4x+6)[/tex] simplified
Solve:
[tex](12x-4) + (4x+6) = 98[/tex]
[tex]16x+2=98[/tex]
[tex]16x=96[/tex]
[tex]\frac{16x}{16} = \frac{96}{16}[/tex]
[tex]x = 6[/tex]
Substitute x
[tex]2(3(6)-1) = 34[/tex]
[tex](2(6)+3) = 15[/tex]
The dimensions of this rectangle are 34x15.
Help!!!!PLEASE & THANKS
x° = 25°
25° is the answer
The amount of time a certain brand of light bulb lasts is normally distribued with a
mean of 1100 hours and a standard deviation of 75 hours. Out of 965 freshly installed
light bulbs in a new large building, how many would be expected to last less than
1100 hours, to the nearest whole number?
Answer:
Therefore, the interval of hours that represents the lifespan of the middle 68% of light bulbs is 1210 hours - 1390 hours.
Step-by-step explanation:
In statistics, the 68–95–99.7 rule, also recognized as the Empirical rule, is a shortcut used to recall that 68%, 95% and 99.7% of the values lie within one, two and three standard deviations of the mean, respectively.
Then,
P (µ - σ < X < µ + σ) = 0.68
P (µ - 2σ < X < µ + 2σ) = 0.95
P (µ - 3σ < X < µ + 3σ) = 0.997
he random variable X can be defined as the amount of time a certain brand of light bulb lasts.
The random variable X is normally distributed with parameters µ = 1300 hours and σ = 90 hours.
Compute the interval of hours that represents the lifespan of the middle 68% of light bulbs as follows:
Thus, the interval of hours that represents the lifespan of the middle 68% of light bulbs is 1210 hours - 1390 hours.
Please help I have been stuck on this for hours
Answer:
I have attached a screenshot below with the answers written down!
Step-by-step explanation:
[tex]5*3=15[/tex]
[tex]15*3=45[/tex]
Next
[tex]20*\frac{1}{2}=10[/tex]
[tex]10*\frac{1}{2}=5[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Hope this helps!
Have a great day!
:)
Liam's mass is 102.1 kg
Choose the best approximation of Liam's mass.
Choose 1 answer:
A.) 1*10^1 kg
B.) 1*10^2 kg
Earth has an estimated mass of 5,972,000,000,000,000,000,000,000
Choose the best approximation of the Earth's mass.
Choose 1 answer:
A.) 6*10^21
B.) 6*10^24
Approximately how many times as large is the Earth's mass as Liam's mass?
Choose 1 answer:
A.) 6*10^20
B.) 6*10^21
C.) 6*10^22
First one is B second one is B last one is C
Rewrite using the Distributive Property and GCF 13+36
Answer:
13(1+2)
Step-by-step explanation:
13(1)+13(2)=13+26
The GCF of 13, 26 is 13.
Sam Bought a shirt for $27 after a discount, He said he bought the shirt at a 10% discount, What was the original selling price of the shirt?
Answer:$37.00
Step-by-step explanation: hope it helps
Two buses leave towns 948 kilometers apart at the same time and travel toward each other. One bus travels 11km/h slower than the other. If they meet in 4 hours, what is the rate of each bus?
If they meet in 4 hours. Then the speed of each bus will be 124 km per hour and 113 km per hour.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
Speed = Distance/Time
Two buses leave towns 948 kilometers apart at the same time and travel toward each other. One bus travels 11km/h slower than the other.
If they meet in 4 hours.
Then the speed of each bus will be
Let x be the speed of the one bus.
Then the speed of second bus will be
Speed = x - 11
Then the relative speed will be
Speed = 2x - 11
Then we have
2x - 11 = 948 / 4
2x - 11 = 237
2x = 248
x = 124
Then the speed of each bus will be 124 km per hour and 113 km per hour.
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PLEASE HELP URGENT I will give brainiest
Answer: I’ll edit this when I get the photo.
Step-by-step explanation:
Pls, look at the picture for the question.
Answer:
1. 9 * 10^15 meters per years
2. 3*10^8 meters per second
Step-by-step explanation:
Light travels is given 9,... m per year.
They ask how many meter light trravels per years.
They give you the meter per year so you look at the values and move the decimal and see if it can round to the whole number 9.
Looking at the four next to nine can't round so 9,460,000,000,000 becomes 9 * 10^15 m per year.
Converting meters per year to meter per seconds
[tex]\frac{9*10^5meters}{1 year} *\frac{1year}{365 days}*\frac{1 day}{24 hrs} *\frac{1hr }{60 min}*\frac{1min}{60 secs}[/tex]
The answer should be 2.8*10^8 or 3*10^8 meters per second
Which is a perfect square? 20,21, 24,25
The perfect square form the given numbers is 25.
What is meant by Perfect Squares?Perfect squares are defined as the number which is the result of the multiplication of another number, likely integers, to itself two times.
For example, 4 = 2 × 2
So 4 is a perfect square of 2.
Here the given numbers are,
20, 21, 24, 25.
We need the perfect squares as the squares of integers.
1² = 1
2² = 4
3² = 9
4² = 16
5² = 25
So 25 is a perfect square.
20, 21 and 24 cannot be written as the square of an integer.
Hence the correct number is 25.
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2. (07.01)
In a city school, 70% of students have math class, 65% have science class, and 45% have math
and science class this semester. What is the probability (rounded to the nearest whole percent)
that a randomly selected student will have science class this semester, given that the student is in
math class? (1 point)
Hint: P(AB)
P(ANB)
P(B)
O 93%
20%
69%
Answer:
[tex]P(\text{Science}|\text{Math})\approx64\%[/tex]
Step-by-step explanation:
[tex]\displaystyle P(\text{Science}|\text{Math})=\frac{P(\text{Science and Math})}{P(\text{Math})}\\\\P(\text{Science}|\text{Math})=\frac{0.45}{0.70}\\ \\P(\text{Science}|\text{Math})\approx0.643\approx64\%[/tex]
None of the answer choices have this solution apparently, so either you left out some option, mistyped them, or it wasn't there to begin with
In January Caleb could do 12 pushups. In May Caleb could do 15 pushups. By what percent did he increase the number of pushups he could do?
Answer:
by 3% percent
Step-by-step explanation:
i hope this helps ._.
So in January he could do 12 pushups..
4 months later, he could do 3 more..
A total of 15 in 4 months would make a 25% increase with 6.25% every month as 3 pushups represent 1/4 of the 12 he used to do
can someone please help me with this math problem please please
Answer:
c
Step-by-step explanation:
Step 1
Solve 3x-y=-63x−y=−6 for yy.
y=6+3xy=6+3x
Step 2
Substitute 6+3x6+3x for yy in the second and third equation.
2\left(6+3x\right)-5z=-52(6+3x)−5z=−5 x-\left(6+3x\right)-2z=-4x−(6+3x)−2z=−4
Step 3
Solve these equations for xx and zz respectively.
x=-\frac{17}{6}+\frac{5}{6}zx=−
6
17
+
6
5
z z=-1-xz=−1−x
Step 4
Substitute -\frac{17}{6}+\frac{5}{6}z−
6
17
+
6
5
z for xx in the equation z=-1-xz=−1−x.
z=-1-\left(-\frac{17}{6}+\frac{5}{6}z\right)z=−1−(−
6
17
+
6
5
z)
Step 5
Solve z=-1-\left(-\frac{17}{6}+\frac{5}{6}z\right)z=−1−(−
6
17
+
6
5
z) for zz.
z=1z=1
Step 6
Substitute 11 for zz in the equation x=-\frac{17}{6}+\frac{5}{6}zx=−
6
17
+
6
5
z.
x=-\frac{17}{6}+\frac{5}{6}\times 1x=−
6
17
+
6
5
×1
Step 7
Calculate xx from x=-\frac{17}{6}+\frac{5}{6}\times 1x=−
6
17
+
6
5
×1.
x=-2x=−2
Step 8
Substitute -2−2 for xx in the equation y=6+3xy=6+3x.
y=6+3\left(-2\right)y=6+3(−2)
Step 9
Calculate yy from y=6+3\left(-2\right)y=6+3(−2).
y=0y=0
Step 10
The system is now solved.
x=-2x=−2 y=0y=0 z=1z=1
Solution
x=-2x=−2
y=0y=0
z=1z=1
Write the equation of the line in fully simplified slope-intercept form.
Answer:
y = -8 - 1/2x
Step-by-step explanation:
True or False.
arcsin (sin theta ) = theta for all theta
The answer is true, but I am looking for an explanation.
The statement is true because the arcsin function is defined to be the inverse of the sin function.
What are inverse functions?
For invertible function f(x) (this means that f(x) has an inverse) we define the inverse function g(x) such that:
f(g(x)) = x
g(f(x)) = x
Now, particularly for the sin function, arcsin is defined as the inverse function.
Then by definition, arcsin must meet the conditions:
arcsin(sin(x)) = xsin(arcsin(x)) = xSo the answer is true for the definition of the arcsin function.
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Two towers make up the Vertical Forest. One is 76 meters tall, and the other is 111 meters tall. How many feet taller is the higher tower? (Hint: 1 meter = 3.28 feet)
Answer: 114.8
Step-by-step explanation: first multiply 76 times 3.28 (249.28) then multiply 11 by 3.28 (364.08) and subtract to get your awnser
Line j is parallel to line k. Find the m
Answer:
- 8.14 = m = slope
Step-by-step explanation:
We know from the diagram that 8x-7 + 5x+18 = 180 so x = 13
so 8x -7 = 97
slope = tan 97 = -8.14
What is 48 times 22 1/2 times 32 equal to?
.................................................
.
Answer:
MARK ME Brainliest PLEASEStep-by-step explanation:
I bought 6.7 kg of apples and a water melon that weights 3.1 kg how much fruit did I buy.
Answer:
Our goal is to find the total weight which we can do by just adding up our weights. We have 6.7 kg of apples and we have 3.1 kg of melon so we just add those up together and we get 9.8 kg.
Hope this helps! Let me know if you have any questions
what set of data corresponds to the dot plot
if you need 4/5 of a cup for one pie how many do cups do you need for 9
Answer:
if you simplefy it, it would be 7 1/5
Step-by-step explanation:
see how many time 5 goes into 36= 7 times what is your remander = 1 and the denomorator is 5 so 7 and 1/5
The point (2,5) is represented on the graph. Which point also belongs on this graph?
If the point (30, 75) satisfies the equation, then the point will lie on the line. Then the correct option is B.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The point (2,5) is represented on the graph.
Then the equation of the line passing through (2, 5) and the origin will be given as
y - 0 = [(5 - 0) / (2 - 0)] (x - 0)
y = 5/2 x
2y = 5x
If the point (30, 75) satisfies the equation, then the point will lie on the line.
2 × 75 = 5 × 30
150 = 150
The graph is given below.
More about the linear system link is given below.
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work out value of a
Answer:
a=99
Step-by-step explanation:
First, let's subtract 136 from 180. We get 44, which means that the angle of the other side is 44 degrees.
180-136=44
Next, let's subtract 125 from 180. 180-125 = 55. This means the other angle next to 125 degrees is 55 degrees.
180-125=55
We know that the sum of a triangle's angles is = 180 degrees
We can find the last angle of the triangle by adding 44 & 55, and then subtracting that sum from 180 (the total sum).
44+55=99
180-99=81
For our last and final step, let's subtract 81 from 180 to find the angle NEXT to 81 (a).
180-81=99
a = 99 degrees
Hope this helped :) If you have any questions, don't be afraid to comment!
Answer:
The value of a is 99°check photo for detailed analysisStart with 360. Increase by 15%.
Start with 480. Decrease by 10%.
Answer:
414432Step-by-step explanation:
Problem 1
Start with 360
⇒ 360
Increase by 15%
⇒ 360 (1 + 15%)
⇒ 360 (1 + 0.15)
⇒ 360 (1.15)
⇒ 414
Problem 2
Start with 480
⇒ 480
Decrease by 10%
⇒ 480 (1 - 10%)
⇒ 480 (1 - 0.1)
⇒ 480 (0.9)
⇒ 432
Jerry ran 4/3 of a mile in 4/18 of an hour. What was Jerry's rate of speed?
⚫️4 miles per hour
⚫️6 miles per hour
⚫️5_1/3 miles per hour
⚫️8/27 miles per hour
Answer:
B, 6 miles per hour
Step-by-step explanation:
1. 4/3 of a mile in 4/18 of an hour, rewrite as (4/3 / 4/18)
2. Dividing fractions is multiplying by the reciprocal, so (4/3 * 18/4)
3. (4/3 * 18/4 = 72/12)
4. 72/12 can be simplified to 6/1 or 6.
5. Answer is B, 6 miles per hour
A quadrilateral with vertices at A(4,-4), B(4, -16), C(12, -16), and D(12, -4) has been dilated with a center at the
origin. The image of D, point D', has coordinates (36, -12). What is the scale factor of the dilation?
1/9
1/3
3
9
Using translation concepts, it is found that the scale factor of the dilation is of 3.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, considering point D and it's image, the following translation happened:
(12, -4) -> (36, -12).
In general terms, we have that:
(x,y) -> (3x, 3y).
Hence the scale factor is of 3.
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What is the radius of oT?
Answer Here
+
21
20
R
The length of the half chord is given as 21. The length of the perpendicular drawn from the center to the chord is 20. The radius would be 29 units.
What is Pythagoras' Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]
where |AB| = length of line segment AB. (AB and BC are the rest of the two sides of that triangle ABC, AC being the hypotenuse).
The length of the half chord is given as 21.
The length of the perpendicular drawn from the center to the chord is 20.
By Pythagoras' Theorem
[tex]|r|^2 = |21|^2 + |20|^2\\\\|r|^2 = 441 + 400\\\\|r|^2 = 841\\\\|r| = \sqrt{841} \\\\r = 29[/tex]
The radius of the circle would be 29 units.
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