Answer:
n=5, m = 4
Step-by-step explanation:
It is a parallelogram so m+8 = 3m and 2n-1 = 9
The inequality 3x+2>x+8 is equivalent to:
A. x>3
B. x 32
D. x<−32
Answer:
x>3
Step-by-step explanation:
3x+2>x+8
-2 -2
3x>x+6
-x -x
2x>6
/2 /2
x>3
The solution of the inequality 3x+2>x+8 will be x>3. The correct option is A.
When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that inequality is 3x+2>x+8. The inequality will be solved as below,
3x+2>x+8
3x>x+6
2x>6
x>3
Hence, the solution is x>3.
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opposite of puring 8 gallons of water into a fish tank
Answer:
pure out 8 gallons
Step-by-step explanation:
Im big brain.
Step-by-step explanation:
removing 8 gallons of water from a fish tank
The Cougar Shipping Company found that 3 out of 25 boxes
were damaged. What percent of the boxes were damaged?
a.
3%
b.
18%
C.
20%
d.
75%
Please hurry
Answer:
i think it is 20
Step-by-step explanation:
i hope it help
find the product of (−x−3)(2x2+5x+8)
I need help quick please!!!!
Answer:
1 is false
2 is blueprints
Step-by-step explanation:
Given the function g(x)=41x^3+a for some constant a, which describes the inverse function g^-1(x)
Answer:
[tex]g^{-1}(x)=\sqrt[3]{\frac{x-a}{41}}[/tex]
Step-by-step explanation:
The inverse of a function has [tex]x[/tex] and [tex]y[/tex] values switched from the original function. Therefore, simply switch [tex]x[/tex] and [tex]y[/tex] and isolate [tex]y[/tex] to get your inverse function:
Original function: [tex]g(x)=41x^3+a[/tex]
Switching [tex]x[/tex] and [tex]y[/tex], then isolating [tex]y[/tex]:
[tex]x=41y^3+a,\\x-a=41y^3,\\\frac{x-a}{41}=y^3,\\y=\sqrt[3]{\frac{x-a}{41}}[/tex].
Therefore, the inverse of the [tex]g(x)=41x^3+a[/tex] is:
[tex]\fbox{$g^{-1}(x)=\sqrt[3]{\frac{x-a}{41}}$}[/tex].
Which sentence below best explains the process of upwelling
A deck of cards contains RED cards numbered 1,2,3,4,5,6 and BLUE cards numbered 1,2,3. Let R be the event of drawing a red card, B the event of drawing a blue card, E the event of drawing an even numbered card, and O the event of drawing an odd card. Drawing the Blue 2 is one of the outcomes in which of the following events?
a. R OR O
b. B AND O
c. R OR E
d. R AND O
e. R′
f. E
Answer: c. R OR E
e. R′
f. E
Step-by-step explanation:
Outcomes for Red card ={1,2,3,4,5,6} = 6
Outcomes of Blue card = {1,2,3} =3
R = event of drawing a red card, B = event of drawing a blue card, E=event of drawing an even numbered card, and O = event of drawing an odd card.
Then, R= {1R,2R,3R,4R,5R,6R} , B= {1B,2B,3B}
E={2R, 4R, 6R , 2B}
O = {1R, 3R, 5R, 3B}
R or O = { 1R,2R,3R,4R,5R,6R ,3B} [all elements of R and O]
B and O = {3B} [all elements common in B and O]
R or E = {1R,2R,3R,4R,5R,6R,2B }
R and O = {1R, 3R, 5R} [all elements common in R and O]
R' = B= {1B,2B,3B} [all elements except R]
Blue 2 = 2B belongs to B, R or E, R' and E.
Correct options are c. e. f.
Answer:
Blue 3
E'
B AND O
Step-by-step explanation:
help me out please. what is 5 ÷ 9/10 ?
Please solve the question below 4
Answer:
The answer is C
Step-by-step explanation:
The graph has a normal distribution, mean at 3.6, and a standard deviation of 0.6
Answer:
the Correct Answer Is c
Step-by-step explanation:
PLZ PLZ PLZ MARK AS BRAINLIEST LOL PLZ
A dolphin travels through the water at a speed of 25 kilometers per hour. Which representation shows the distance a dolphin can travel at this rate
Answer:
B
Step-by-step explanation:
All of the following would make a formal proof incomplete except what?
A) A lack of justifications
B) Incomplete sentences
C) Errors in logic
D) Incorrect reasons for statements
Urgent I need this for tonight please!!!
Answer:
b incorrect sentences
Step-by-step explanation:
got it right on my test
Each number line is shaded to represent a percent drag a percent to each number line that represents a percent.
Answer: For 25% put the smallest one and for 60% put the one with blue shaded over six lines not included 0 line the small lines bye
Step-by-step explanation:
no no no no no
A person standing close to the edge on top of a 72-foot building throws a ball vertically upward. The
quadratic function h = - 16ť+ 136t + 72 models the ball's height about the ground, h, in feet, t seconds after it was thrown.
a) What is the maximum height of the ball?
feet
b) How many seconds does it take until the ball hits the ground?
seconds
Answer:
I hope this helps.
Step-by-step explanation:
h(t) = -16t2 + 108t + 28
(a)
Maximum height occurs at the vertex of the height-vs.-time parabola, which is at
t = -108/[2(-16)] sec = ? sec
Evaluate h(t) at this value of t to get hmax.
(b)
Set h(t) = 0 and solve the quadratic equation for t. You will get a positive and a negative solution. Discard the negative solution, since time starts at t = 0.
The quadratic function, h = -16t + 136t + 72, gives us:
a) The maximum height of the ball is 360 feet.
b) The time taken by the ball to hit the ground is 9 seconds.
What is a quadratic function?A quadratic function is a function over a quadratic expression, that is, over an expression having degree 2.
How to solve the question?In the question, we are informed that a person standing close to the edge of a 72-foot building throws a ball vertically upward. The quadratic function h = -16t² + 136t + 72 models the ball's height above the ground, h in feet, t seconds after it was thrown.
We solve the following:-
a) What is the maximum height of the ball?
The maximum height of the ball can be obtained by differentiating the given quadratic function, h = -16t² + 136t + 72.
Differentiating both sides. we get:
[tex]\frac{\delta h}{\delta t} = -32t + 136[/tex] .
To get point of inflection, we equate this to 0, to get:
[tex]\frac{\delta h}{\delta t} = -32t + 136 = 0[/tex],
or, -32t + 136 = 0,
or, t = 136/32 = 4.5.
To check whether the value of h is maximum/minimum at t = 4.5, we differentiate [tex]\frac{\delta h}{\delta t} = -32t + 136[/tex] again, to get:
[tex]\frac{\delta^{2} h}{\delta t^{2} } = -32[/tex] , which is < 0, which that implies, h is maximum at t = 4.5.
Now, we calculate the maximum height, by putting in t = 4.5, in the equation, to get:
h = -16(4.5)² + 136(4.5) + 72,
or, h = -16(20.25) + 612 + 72,
or, h = -324 + 684 = 360.
Therefore, The maximum height of the ball is 360 feet.
b) How many seconds does it take until the ball hits the ground?
The time taken can be calculated by putting the value of h = 0, and solving the quadratic function h = -16t² + 136t + 72, as the height of the ball at the ground is 0.
Therefore, it can be written as:
0 = -16t² + 136t + 72.
or, 16t² - 136t - 72 = 0.
Solving this using the quadratic equation, we get:
[tex]t = \frac{-(-136)\pm \sqrt{(-136)^{2} - 4(16)(-72)}}{2(16)}[/tex] ,
or, [tex]t = \frac{136\pm \sqrt{18496 + 4608}}{32}[/tex] ,
or, [tex]t = \frac{136\pm \sqrt{23104}}{32}[/tex] ,
or, [tex]t = \frac{136\pm 52}{32}[/tex]
Therefore, either t = (136+152)/32 = 9,
or, t (136 - 152)/32 = -0.5.
Since t represents time, we won't take the negative value, and hence t = 9.
Therefore, The time taken by the ball to hit the ground is 9 seconds.
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help ASAP
10 POINTS
find surface area and volume
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 429.0429.0 gram setting. It is believed that the machine is underfilling the bags. A 4040 bag sample had a mean of 425.0425.0 grams. A level of significance of 0.020.02 will be used. Determine the decision rule. Assume the standard deviation is known to be 11.011.0.
Answer:
A 4040 bag sample 25.0425.0 grams. A level of significance of 0.020.02
the decision rule. Assume the standard deviation is known to be 11.011.0.
Step-by-step explanation:
Write the given percent of increase or decrease as a growth factor.
7% Increase
a.1.7
c. 7.1
c.1.007
d.1.07
Answer: D
Step-by-step explanation:
solve the questions bellow
Answer:
1. 29.67°
2. 68.96°
3. 89.85°
Step-by-step explanation:
1. Reference angle = x
Opposite = 45 cm
Adjacent = 79 cm
Therefore:
[tex] tan(x) = \frac{45}{79} [/tex]
[tex] tan(x) = 0.569620253 [/tex]
[tex] x = tan^{-1}(0.569620253) [/tex]
[tex] x = 29.67 [/tex] (nearest hundredth)
2. Reference angle = B
Opposite = 14
Hypotenuse = 15
Therefore:
[tex] sin(B) = \frac{14}{15} [/tex]
[tex] sin(B) = 0.93333 [/tex]
[tex] B = sin^{-1}(0.93333) [/tex]
[tex] B = 68.96 [/tex] (nearest hundredth)
3. Reference angle = x
Adjacent = 238,900 mi
Hypotenuse = 92,955,807 mi
Therefore:
[tex] cos(x) = \frac{238,900}{92,955,807} [/tex]
[tex] x = cos^{-1}(\frac{238,900}{92,955,807}) [/tex]
[tex] x = 89.85 [/tex] (nearest hundredth)
If the measure of angle A is 71° in the measure of angle E is:
If Angle A is 71°, E is 355°.
Answer:
Angle E: 289
Step-by-step explanation:
If there are only 2 angles, and they would add up to be 360, then it is 289.
Just subtract 360-71 to get 289
4x + 55 = 7x = 34
solve for x
Answer at the bottom
Step 1: Simplify both sides of the equation.
4x−7x=34−55
4x+−7x=34+−55
(4x+−7x)=(34+−55)(Combine Like Terms)
−3x=−21
−3x=−21
Step 2: Divide both sides by -3.
−3x
−3
=
−21
−3
x=7
Answer:
x=7
{[(9 + 5) ÷ 7] - 2} x [4 x (25 – 20)]
Answer:
The answer is 0.
Step-by-step explanation:
solve 9+5=14
14/7=2
2-2=0
solve the pther side
25-20=5
4*5=20
0*20=0
of 30 students, 1/3 play sports. Of those who play sports, 2/5 play soccer.
How many students play soccer?
A. 4
B.12
C.5
D.10
PLEASE HELP
What is m<1 and m<3 someone help me please
Answer:
m < 1 = 52
m < 3 = 52
Step-by-step explanation:
m < 8 = 128 therefore m < 4 = 128
1.) we know that m < 4 + m < 1 must equal 180
128 + m < 1 = 180
180 - 128 = m < 1
52 = m < 1
due to the position of m < 1 and m < 3, they are the exact same
find the volume of the cone when it's diameter is 8.4 feet and height is 6feet.
Answer:
110.835389 ft3
Step-by-step explanation:
What is Four more than twice a number is -10?
Annie walks 15 feet away from her house and places a mirror on the ground. She backs 4 feet away from the mirror so that she can see the tip of the roof. Annie's eyes are 5 feet above the ground. Annie and the house are both perpendicular to the ground. The angles between the top of the house, the mirror, and the ground and between Annie's eyes, the mirror, and the ground are congruent as shown in the image below:
Image depicts a mirror on the ground between a person and a house. The mirror is 4 feet away from the person and 15 feet away f
What is the height of the house? Show your work and explain your reasoning in complete sentences.
Answer:
The house is 18.75 feet tall
Step-by-step explanation:
The triangles are similar by the AA postulate.
We are given the length of the bottom sides of the triangles, 4 and 15 respectively.
Thus, the ratio is 4:15
We are also given the height of Annie's eyes, which is 5 feet. The height of the side that corresponds to the house is 5, so we can set up a proportion.
[tex]\frac{4}{15} = \frac{5}{x} \\4x = (5*15) = 75\\x = \frac{74}{4} \\x = 18.75[/tex]
Thus, the house is 18.75 feet tall.
Express the integral as a limit of Riemann sums. Do not evaluate the limit. (Use the right endpoints of each subinterval as your sample points.)
int 1 between 5 x/2+3^3*dx
Answer:
[tex]\mathbf{4 \lim \limits _{n \to \infty} \sum \limits ^n_{i=1} \Big ( \dfrac{n(n+4i)}{2n^3 +(n+4i)^3} \Big )}[/tex]
Step-by-step explanation:
Given integral:
[tex]\int ^5_1 \dfrac{x}{2+x^3} \ dx[/tex]
[tex]\mathbf{Using \ Riemann \ sums; \ we \ have: }[/tex]
[tex]\int ^b_a \ f(x) \ dx = \lim_{n \to \infty} \sum \limits ^n_{i =1} \ f( a + i \Delta x) \Delta x[/tex]
[tex]here; \ \Delta x = \dfrac{b-a}{n}[/tex]
∴
[tex]\int ^5_1 \dfrac{x}{2+x^3} \ dx = f(x) = \dfrac{x}{2+x^3}[/tex]
[tex]\implies \Delta x = \dfrac{5-1}{n} =\dfrac{4}{n}[/tex]
[tex]f(a + i \Delta x ) = f ( 1 + \dfrac{4i}{n})[/tex]
[tex]f( 1 + \dfrac{4i}{n}) = \dfrac{n^2 ( n+4i)}{2n^3 + (n + 4i)^3}[/tex]
[tex]\lim_{n \to \infty} \sum \limits ^n_{i=1} \ f(a + i \Delta x) \Delta x = \lim_{n \to \infty} \sum \limits ^n_{i=1} \Big ( \dfrac{n^2(n+4i)}{2n^3 +(n+4i)^3} \Big )\dfrac{4}{n}[/tex]
[tex]\mathbf{= 4 \lim \limits _{n \to \infty} \sum \limits ^n_{i=1} \Big ( \dfrac{n(n+4i)}{2n^3 +(n+4i)^3} \Big )}[/tex]
Classify the following as either a discrete random variable or a continuous random variable.
The amount of time six randomly selected volleyball players play during a game.
Is it: Discrete or Continuous
Answer: continuous random variable.
Step-by-step explanation:
A discrete random variable is defined as a random variable which consists of countable number. Examples include numbers of shoes, number of sales etc.
A continuous random variable is a random variable whereby the data can take several values. It is a random variable that takes time into consideration.
Therefore, the amount of time six randomly selected volleyball players play during a game will be a continuous random variable since time so involved.
A building 11 stories has a glass enclosed elevator that goes up and down the outer wall of the building. From the 1st floor below the topmost floor you take the elevator and go down 5 floors. How many floors are you above the bottom floor?
Given that the following is a Rhombus, find the missing angles.
Answer:
1. 90
2. 61
3. 29
4. 61
Step-by-step explanation:
1 is a 90 degree angle. Triangles = 180 degrees