Answers
Answer:
m = 2G² + 5Step-by-step explanation:
[tex]G = \sqrt{ \frac{m - 5}{2} }[/tex]
To make m the subject square both sides of the equation
That's
[tex] \frac{m - 5}{2} = {G}^{2} [/tex]
Cross multiply
m - 5 = 2G²
Move 5 to the right side of the equation to make m stand alone
We have the final answer as
m = 2G² + 5Hope this helps you
Answer:
A semi-circle sits on top of a rectangle to form the figure below. Find its area and perimeter. Use 3.14 for .
The rectangle is 4 inches long and 3 inches wide. The semi-circle sits on top of the rectangle on a side that is 4 inches long.
Step-by-step explanation:
Related Questions
Given that ΔABC is a right triangle with a right angle at C, if tan A = [tex]\frac{5}{4}[/tex], find the value for tan B.
A. tanB = [tex]\frac{3}{4}[/tex]
B. tanB = [tex]-\frac{4}{5}[/tex]
C. tanB = [tex]\frac{4}{5}[/tex]
D. tanB = [tex]-\frac{5}{4}[/tex]
Answers
Answer:
C
Step-by-step explanation:
tan A = [tex]\frac{5}{4}[/tex] = [tex]\frac{opposite}{adjacent}[/tex] , thus
The opposite side is the adjacent side for B and the adjacent side is the opposite side for B, thus
tan B = [tex]\frac{4}{5}[/tex]
Solve for x: 2x+1= -3x+36
Answers
Answer:
x = 7
Step-by-step explanation:
2x + 1 = -3x + 36
2x + 3x + 1 = -3x + 3x +36
5x + 1 = 36
5x + 1 - 1 = 36 - 1
5x = 35
5x/5 = 35/5
x = 7
Answer:
first you would add 3x to -3x and 2x, then you would get 5x+1=36. Then you subtract 1 from 1 and 36. Then you get 5x=35. Then you divide by 5 to get the answer 7. so your answer is x=7
Step-by-step explanation:
hope this helps
solution for 2x is equal to 10
Answers
Answer:
The answer is 5
Step-by-step explanation:
divide 10 by two and get 5
Answer:
[tex]x = 5[/tex]
Step-by-step explanation:
We have the equation [tex]2x = 10[/tex], we can try and isolate x by dividing both sides by 2.
[tex]2x \div 2 = 10\div2\\x = 5[/tex]
Hope this helped!
Please answer ASAP!
Type your response in the box. Jack and Mia are playing a game with pick-up sticks. Mia places a pile of 100 pick-up sticks on the table. Forty of the sticks are black, and the rest are brown. She randomly splits all the sticks into two piles—one on Jack’s left and one on his right. Mia tells Jack that there are 44 brown pick-up sticks in the pile on his right. Jack looks at the pile of pick-up sticks on his left and estimates that it contains 44 sticks in all. Now Mia blind folds Jack and asks him to choose a stick at random. Jack knows that if he selects a black pick-up stick, Mia will treat him to dinner at his favorite restaurant. If he picks a brown one, then he will treat Mia to dinner at her favorite restaurant. Mia gives Jack three options for selecting:
Choose randomly from the pile on the left.
Choose randomly from the pile on the right.
Push the piles back together and choose randomly from the entire pile.
Which option should Jack choose so that Mia treats him to dinner at his favorite restaurant? Explain your answer.
Answers
Answer: Choose randomly from the pile on the left.
Step-by-step explanation: The ratio of brown to black sticks on the left pile is 16:28 and on the right pile is 44:12. Therefore, jack should choose from the left side because there is a higher chance in picking a black stick.
In March, Mateo ran 19 miles. In April, he ran twice as many miles as he ran in March. In May, he ran four times as many miles as he did in April. How many total miles did Mateo run in the three months? Enter your answer in the box.
Answers
Answer:
209
Step-by-step explanation:
march = 19 miles
april = 19 times 2 = 38
may = 38 times 4 = 152
so that'd be 19 + 38 + 152 = 209 miles in total.
209 miles Mateo ran in the three months.
What is Simplification?Simplification in mathematical terms is a process to convert a long mathematical expression in simple and easy form.
Given that,
Mateo ran in March = 19 miles,
Also,
Mateo ran in April = 2 times of ran in March = 2 x 19 = 38 miles
Mateo ran in May = 4 times of ran in April = 4 x 38 = 152 miles.
Total distance ran by Mateo in all three months
= ran in March + ran in April + ran in May
= 19 + 38 + 152
= 209 miles.
Mateo ran 209 miles in all three months.
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Find the missing probability. P(A)=15,P(A∪B)=1225,P(A∩B)=7100 ,P(B)=?
Answers
Answer:
p(B) = 8310Step-by-step explanation:
We will use the addition rule of probability of two events to solve the question. According to the rule given two events A and B;
p(A∪B) = p(A)+p(B) - p(A∩B) where;
A∪B is the union of the two sets A and B
A∩B is the intersection between two sets A and B
Given parameters
P(A)=15
P(A∪B)=1225
P(A∩B)=7100
Required
Probability of event B i.e P(B)
Using the expression above to calculate p(B), we will have;
p(A∪B) = p(A)+p(B) - p(A∩B)
1225 = 15+p(B)-7100
p(B) = 1225-15+7100
p(B) = 8310
Hence the missing probability p(B) is 8310.
Arc length practice
Answers
Answer:
[tex]\large\boxed{s = 4\pi}[/tex]
Step-by-step explanation:
The arc length is determined by the formula [tex]s=r\theta[/tex], where s is the arc length, r is the radius, and [tex]\theta[/tex] is the value of the central angle (in radian formatting).
By substituting the values for the radius and the central angle, you can solve for the arc length.
[tex]\text{The radius is half of the diameter -} \: \boxed{\frac{4}{2}=2}[/tex].
The central angle is converted to radian form by multiplying the angle in degrees by the fraction of π/180 - 360° * π/180 = 360π/180 = 2π.
Now, substitute the values and solve for s.
s = (2)(2π)
[tex]\large\boxed{s = 4\pi}[/tex]
A golf ball is hit off a tee toward the green. The height of the ball is modeled by the function h(t) = −16t2 + 96t, where t equals the time in seconds and h(t) represents the height of the ball at time t seconds. What is the axis of symmetry, and what does it represent? t = 3; It takes the ball 3 seconds to reach the maximum height and 6 seconds to fall back to the ground. t = 3; It takes the ball 3 seconds to reach the maximum height and 3 seconds to fall back to the ground. t = 6; It takes the ball 6 seconds to reach the maximum height and 3 seconds to fall back to the ground. t = 6; It takes the ball 6 seconds to reach the maximum height and 6 seconds to fall back to the ground.
Answers
Answer:
t = 3; It takes the ball 3 seconds to reach the maximum height and 6 seconds to fall back to the ground.
Step-by-step explanation:
To find the axis of symmetry, we need to find the vertex by turning this equation into vertex form (this is y = a(x - c)² + d where (c, d) is the vertex). To do this, we can use the "completing the square" strategy.
h(t) = -16t² + 96t
= -16(t² - 6t)
= -16(t² - 6t + 9) - (-16) * 9
= -16(t - 3)² + 144
Therefore, we know that the vertex is (3, 144) so the axis of symmetry is t = 3. Since the coefficient of the squared term, -16, is negative, it means that the vertex is the maximum. We know that it takes the golf ball 3 seconds to reach the maximum height (since the t value of the vertex is 3) and because the vertex is on the axis of symmetry, it would take 3 more seconds for the ball to fall to the ground, therefore it takes 3 + 3 = 6 seconds to fall to the ground. The final answer is "t = 3; It takes the ball 3 seconds to reach the maximum height and 6 seconds to fall back to the ground.".
The time will be t = 3; It takes the ball 3 seconds to reach the maximum height and 6 seconds to fall back to the ground.
What is Function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable the dependent variable.
To find the axis of symmetry, we need to find the vertex by turning this equation into vertex form (this is y = a(x - c)² + d where (c, d) is the vertex). To do this, we can use the "completing the square" strategy.
h(t) = -16t² + 96t
= -16(t² - 6t)
= -16(t² - 6t + 9) - (-16) * 9
= -16(t - 3)² + 144
Therefore, we know that the vertex is (3, 144) so the axis of symmetry is t = 3. Since the coefficient of the squared term, -16, is negative, it means that the vertex is the maximum.
We know that it takes the golf ball 3 seconds to reach the maximum height (since the t value of the vertex is 3) and because the vertex is on the axis of symmetry, it would take 3 more seconds for the ball to fall to the ground, therefore it takes 3 + 3 = 6 seconds to fall to the ground.
The final answer is "t = 3; It takes the ball 3 seconds to reach the maximum height and 6 seconds to fall back to the ground.".
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Express 0.504 as a fraction in its lowest term
Answers
Answer:
63/125
Step-by-step explanation:
Turn the decimal .504
=> 504/1000
=> 504/1000 = 252/500
=> 252/500 = 126/250
=> 126/250 = 63/125
=> 63/125 cannot be simplified anymore.
So, 63/125 is the simplified fraction of .504
Angle A is circumscribed about circle O. What is the measure of angle O? 46
Answers
Answer:
m<O = 134°
Step-by-step explanation:
OC = OB = radius of the circle
AC = AB = tangents of circle O
m<C = m<B = 90°. (Tangent and a radius always form 90°)
m<A = 46°
Therefore,
m<O = 360° - (m<C + m<B + m<A) => sum of angles in a quadrilateral.
m<O = 360° - (90° + 90° + 46°)
m<O = 360° - 226°
m<O = 134°.
Measure of angle A = 134°
During a catered lunch =, an average of 4 cups of tea are poured per minute. The lunch will last 2 hours. How many gallons of tea should the caterer bring if there are 16 cups in one gallon?
Answers
Answer:
30 gallons of tea
Step-by-step explanation:
We are looking at the average of cups of tea per minute but we are given the time frame of lunch in hours, so first, we have to convert the hours to minutes:
There are 60 minutes in 1 hour and lunch is 2 hours long. So, multiply 60 by 2 to get 120 minutes total.
Next, we have to find out the number of cups of tea poured during the lunch. We have been told already that an average of 4 cups of tea are poured a minute.
Therefore, multiply 4 by the total number of minutes for lunch. You will multiply 4 by 20 to get 480 cups of tea poured in total during the catered lunch.
Finally, we have to see how many gallons of tea the caterer should bring. We should know that there are 16 cups in one gallon.
That means we have to divide the total number of cups poured by 16. Divide 480 by 16 to get 30 gallons of tea that the caterer should bring.
What is the exponential form of log9 5 = y
Answers
Answer:
y = 0.732
Step-by-step explanation:
log3²(5) = y
(1/2) × log3(5) = y
y = (1/2) × log3(5)
y = 0.732487
y = 0.732 ( 3 sig.fig )
The image below shows two dilated figures with lines IJ and JK drawn. If the smaller figure was dilated by a scale factor of 2, what relationship do lines IJ and KL have?
Answers
Answer:
IJ = 2*KL
Step-by-step explanation:
Given that the smaller figure was dilated to create the bigger figure with a scale factor of 2, it therefore means, the dimensions of the smaller figure was increased by times 2 of its dimensions to create the bigger figure.
Thus, the relationship that would exist between line IJ and KL, is that IJ is twice the size of KL.
The relationship is: IJ = 2*KL
hey can someone help me out here because i dont know none of this
Answers
Answer:
x = 0
Step-by-step explanation:
In order for this to be a function there has to be an x and y pair. You cant have 2 different x values correlate to 1 y value. The only number not used on the table of value is 0
Therefore the value of x is 0
==================================================
Explanation:
The table shows the inputs of -5, -1, x, 1 and 3. Ignore the x for now. The numerical inputs are -5, -1, 1, 3
If we have any input repeat itself with a different paired y value, then we will not have a function.
So if x = -5, then we don't have a function. This is because x = -5 is already paired with y = 4 in the top row. We can't have the input x = -5 lead to y = 0 at the same time. Any input must lead to exactly one output only. So this rules out choice A as a possible answer.
Choice C and choice D are eliminated for similar reasons as well. This leaves choice B. We don't have x = 0 yet, so it is a valid possible input. We can pick any thing we want for x as long as its not already done so in the table.
10.
J
A
B
0
L
с
K
Not drawn to scale
JK, KL, and are all tangent to circle O. JA = 9, AL = 10, and CK = 14. What is the perimeter of AJKL?
66 units
46 units
O 33 units
38 units
Answers
Answer:
66
Step-by-step explanation:
The figure of triangle JKL is attached. JA = 9, AL = 10, and CK = 14.
According to two tangent theorem, the tangent to a circle that meets at the same point is equal to each other. Therefore:
AJ = BJ, AL = CL, CK = BK.
Since AJ = 9, BJ = AJ = 9
AL = 10, CL = AL = 10
CK = 14, BK = CK = 14.
Therefore the lengths of the triangle sides are:
JL = AJ + AL = 9 + 10 = 19
JK = BJ + BK = 9 + 14 = 23
KL = CL + CK = 14 + 10 = 24
The perimeter of the triangle is the sum of all its sides, it is given as:
Perimeter = JL + JK + KL = 19 + 23 + 24 = 66
Please Help! Three times the quantity of a number increased by 7 is equal to the same number decreased by 15
Answers
3x+7=x-15
3x-x=-15-7
2x=-22
X=-11
The equation is written as 3x + 7 = x - 15. And the solution of the equation will be negative 11.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Multiple times the amount of a number expanded by 7 is equivalent to a similar number diminished by 15.
Let the number be 'x'.
The three times the number plus 7. Then the expression is given as,
⇒ 3x + 7
The number 'x' is decreased by 15. Then the expression is given as,
⇒ x - 15
Both expressions are equal to each other. Then we have
3x + 7 = x - 15
3x - x = - 15 - 7
2x = - 22
x = - 11
The equation is written as 3x + 7 = x - 15. And the solution of the equation will be negative 11.
More about the solution of the equation link is given below.
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What is the inverse of the function g(x)=-3(x+6)? g^-1(x)=
Answers
Answer:
[tex]g^{-1}(x)=-6-\frac{x}{3} =-\frac{x}{3} -6[/tex]
Step-by-step explanation:
First assign a letter "y" to g(x) and get rid of parenthesis on the right:
[tex]g(x)=-3\,(x+6)\\y=-3x-18[/tex]
Now, solve for "x":
[tex]3x=-18-y\\x=\frac{-18-y}{3}\\x=-6-\frac{y}{3}[/tex]
now replace y with x, and call x : [tex]g^{-1}(x)[/tex]
[tex]x=-6-\frac{y}{3} \\g^{-1}(x)=-6-\frac{x}{3}[/tex]
Answer:
-6 - [tex]\frac{x}{3}[/tex]
Step-by-step explanation:
4+2p=10 (3/4p-2) solve for p
Answers
Answer:
p = 48/11 or 4.36
Step-by-step explanation:
4 + 2p = 10(3/4p - 2)
distribute the 10 on the right side of the equation
4 + 2p = (15/2p - 20)
multiply both sides by 2
8 + 4p = 15p - 40
move the terms
48 = 11p
p = 48/11
(sorry if this question is already answered, brainly is glitching out for me)
Answer:
p=6
I got it right on Kahn Academy
Factor 75 - 95. a. 5(15 - 19) b. 5(19 - 15) c. 25(3 - 4) d. 25(4 - 3)
Answers
Answer:
a. 5(15-19)
Step-by-step explanation:
to factor out this expression you need to find the greatest common factor (GCF) in order to fully factor out the expression
the GCF of the number 75 and -95 is 5
divide both numbers by 5 to get 15 and -19
to finish out with the fully factored expression put 15-19 inside parenthesis and put a 5 outside of the parenthesis as shown below:
5(15-19)
Answer:
a. 5(15 -19)
Step-by-step explanation:
15*5 = 75
-19*5 = -95
Factor is:
5(15 -19)
Numbers 1-6 please and thank you This is really hard and I really really need help. I appreciate all the help I can get.
Answers
Area of prism = base area × altitude
1. (2x²-10)(x+4)
= 3x³-2x - 40
2. Base area = 2πr
Volume = (2πr)(r²+ 5r)
=2πr³ + 10πr²
3. Base area=½(6)(x-4)(x+3)=3(x-4)(x+3)
Volume= 3(x-4)(x+3)(⅓)
=(x-4)(x+3)= x² - x -12
4. Base circumference= 10π
Base radius = 10π/(2π) = 5
Base area = πr² = 25π
Volume = 25π(3x²-2x)
=125πx²-50πx
5. Volume = 3π√50
=15π√2
6. Base diameter = 16
Base radius = 16/2 = 8
Base area = 2πr = 16π
Volume = 16π(23a²)
=368πa²
Sandy's older sister was given $2,400 and was told to keep the balance of the money after sharing with her siblings. Give Sandy exactly $350. Write Sandy's portion
Answers
Answer:
Sandy's portion = [tex]\mathsf{\dfrac{7}{48}}[/tex]
Step-by-step explanation:
Sandy's older sister was given $2,400
She was told to keep the balance of the money after sharing with her siblings.
She gave Sandy exactly $350
The objective is to write Sandy's portion.
Sandy's portion will be the ratio of the amount given to Sandy divided by the total amount at her sister disposal.
Let Sandy's older sister be y,
So, y = 2400
Sandy's portion = [tex]\dfrac{350}{2400}[/tex]
Sandy's portion = [tex]\dfrac{35}{240}[/tex]
Sandy's portion = [tex]\mathsf{\dfrac{7}{48}}[/tex]
Emma changed £500 into rand before going on holiday to South Africa.
The rate of exchange at the time was £1 = 10.4 rand.
Emma spent 4000 rand on holiday. When she got home, she changed her leftover rand into pounds.
The exchange rate was now £1 = 9.8 rand. How much money did she get back in pounds?
Answers
Answer:
I'm sorry but I can give exact numbers but I would like to help work it out so...
Step-by-step explanation:
So overall she had £500 to start with
And £1 is equal to 10.4 rand
So you would divide 100 by 10.4 and get the potential difference between the average of money which she has then because she spent 400 rand in holiday you would divide 400 by the amount of the potential difference which was given then change that back to pounds
Hope this helps
If this seems incorrect please comment and I will change my answer thanks:)
You pull one card at random from a standard deck and you shuffle the remaining cards. Then you pull another card. Is the event independent or dependent?
Answers
Answer:
If an event is affected by previous events then it is a dependent event, while if an event is not affected by the previous event then it is an independent event.
Since we have replaced the card that we first drew from the deck, it wont affect the event of pulling a card second time.
So, we can say that it is an example of independent event.
Select the equivalent expression. (8^-5/2^-2)^-4 = ?
Choose 1 answer:
A. 1/8*2^2
B. 2^6/8^9
C. 8^20/2^8
Answers
Answer:
C. 8^20/2^8
Step-by-step explanation:
(8^5/2²)^4
8^20/2^8
Ashley recently opened a store that uses only natural ingredients. She wants to advertise her products by distributing bags of samples in her neighborhood. It takes one person \dfrac{2}{3} 3 2 start fraction, 2, divided by, 3, end fraction of a minute to prepare one bag. How many hours will it take Ashley and 444 of her friends to prepare 157515751575 bags of samples?
Answers
Answer:
3 1/2 hours
Step-by-step explanation:
This is a problem in units conversion. We want to get from bags to hours by way of minutes per bag. One bag takes an effort of 2/3 person·minute, so we need to divide the total effort by the number of persons and convert minutes to hours.
(1575 bags)×(2/3 person·min/bag)/(5 person)/(60 min/h)
= (1575)(2/3)(1/5)(1/60) h = 3.5
It will take the 5 of them about 3 1/2 hours to prepare 1575 bags.
Answer:
3 1/2
Step-by-step explanation:
How many times does 5 go into 1,200??
Answers
240 times.
Explanation:
24 times because,
If you divide 5 with 12k that's,
= 1200/5
= 240
Hence proved, 240 times.
20 POINTS!!! Use the quadratic formula above to solve for h(t) = -4.9t^2 + 8t + 1 where h is the height of the ball in meters and t is time in seconds. Round to the nearest hundredth second!
Answers
Answer:
Two solutions: -0.12 and 1.75.
Step-by-step explanation:
The quadratic formula is:
[tex]\begin{array}{*{20}c} {\frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}} \end{array}[/tex]. Assuming that the x² term is a, the x term is b, and the constant is c, we can plug the values into the equation.
[tex]\begin{array}{*{20}c}{\frac{{ - 8 \pm \sqrt {8^2 - 4\cdot-4.9\cdot1} }}{{2\cdot-4.9}}} \end{array}[/tex]
[tex]\begin{array}{*{20}c}{\frac{{ - 8 \pm \sqrt {64 + 19.6} }}{{-9.8}}} \end{array}[/tex]
[tex]\begin{array}{*{20}c}{\frac{{ - 8 \pm \sqrt {83.6} }}{{-9.8}}} \end{array}[/tex]
[tex]\begin{array}{*{20}c}{\frac{{ - 8 \pm \sqrt {9.14} }}{{-9.8}}} \end{array}[/tex]
[tex]\frac{-8 + 9.14}{-9.8} = -0.12[/tex]
[tex]\frac{-8-9.14}{-9.8} =1.75[/tex]
Hope this helped!
please help on 30–31
Answers
Step-by-step explanation:
30-option c
because only crows r black in appearance
31-option d
thats the option which represents the question asked
Ms. Ayala had 152 pencils. She divided the numbers of pencils equally among 13 students. What is the greatest numberof pencils Ms.Ayala could have given each student
Answers
Answer:
11
Step-by-step explanation:
she divides the number of pencils equally
so the number of pencils per student is 152/13
which is 11.692...
but she can't give 0.69 of a pencil so she gives only the whole part 11
and she keeps 9 pencils
Top Hat Soda has 300,000 milliliters of cola to bottle. Each bottle holds 500 milliliters. How many bottles will the cola fill?
Answers
Answer:600
Step-by-step explanation:
300,000/ 500 =600
