Answer:
Step-by-step explanation:
2(4+7a^2)
=8+14a^2
=7a^2+4
OR if that 2 is an exponent
(4+7a^2)^2
=(4+7a^2)(4+7a^2)
=16+49a^4+28a^2+28a^2
=49a^4+56a^2+16
(PLEASE HELP THIS IS TIMED!!!)
Which graph represents the inequality x > 6?
Answer:
The last one
Step-by-step explanation
x is greater than six so you would go to the right and it has to be an open dot since it can't be the same as 6
Answer:
hello
Step-by-step explanation:
christopher bought a six-pack of soda for 1.50. each can holds 2 fluid ounces. identify the total quantity of each unit in the problem a. cans b. dollars c. cents d. six packs e. ounces f. cases
The total quantity of each unit in the problem is ounces
What is the volume of a can of soda in ounces?
A can of soda weighs about 2 fluid ounces and in pack of soda, there are 2 cans of soda, which means that total quantity of each unit in the problem can be determined in ounces.
Six packs is not a unitary measure, because each pack has 12 cans , which means that six packs translate into 72 cans(6 packs*12 cans), also, the can itself is made of ounces, hence, measuring the unit of soda in cans is not appropriate where each can is about 2 ounces
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Which of the following ratios is not equivalent to the other three 2/3 4to6 8to12 4/5
Answer:
The non-equivalent ratio is 4:5.
Step-by-step explanation:
2/3 4/6 and 8/12 are equivalent because they are all multiples of each other.
Which shape is similar to shape x?
Answer:
the c oneStep-by-step explanation:
hope it will helpAnswer:
Step-by-step explanation:
Probably C but I sure wouldn't bet the farm on it. It looks like C is about 1.5 times the size of X
In each triangle ABC, angle C is a right angle. Find the value of the trig function indicated.
As given triangle ABC, angle C is a right angle if a=6, c=10 then value of trigonometric function is sin A = 3/5.
As given in the question,
In triangle ABC,
∠C = 90°
Side a is opposite to angle A
c is the hypotenuse opposite to angle C
a = 6
c = 10
sin A = ( opposite side) / Hypotenuse
⇒sin A = a/c
⇒sin A = 6/10
⇒sin A = 3/5
Therefore, as given triangle ABC, angle C is a right angle if a=6, c=10 then value of trigonometric function is sin A = 3/5.
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Which is the lower left quadrant on the coordinate plane? A coordinate plane. Quadrant I Quadrant II Quadrant III Quadrant IV
Answer:
C
Step-by-step explanation:
If u form a C around the origin point, u will know the order.
Answer:
Quadrant 3
Step-by-step explanation:
The quadrants go from:
1 2
3 4
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i can't read it, its too blurry
anyways have a great day/night :)
Question
A globe of Earth is in the shape of a sphere with a radius of 14 inches. Find its a volume and b surface area.
Round the answers to the nearest hundredth.
Answer:
[tex]Volume = 11488.21[/tex]
[tex]Area = 2461.76[/tex]
Step-by-step explanation:
Given
[tex]Radius, r = 14\ in[/tex]
Shape: Sphere
Solving (a): The Volume
This is calculated as:
[tex]Volume = \frac{4}{3}\pi r^3[/tex]
Take [tex]\pi[/tex] as 3.14 and substitute 14 for r
[tex]Volume = \frac{4}{3} * 3.14 * 14^3[/tex]
[tex]Volume = \frac{4}{3} * 3.14 * 2744[/tex]
[tex]Volume = \frac{4 * 3.14 * 2744}{3}[/tex]
[tex]Volume = \frac{34464.64}{3}[/tex]
[tex]Volume = 11488.21[/tex]
Solving (b): The Surface Area
This is calculated as follows:
[tex]Area = 4\pi r^2[/tex]
Take [tex]\pi[/tex] as 3.14 and substitute 14 for r
[tex]Area = 4 * 3.14 * 14^2[/tex]
[tex]Area = 4 * 3.14 * 196[/tex]
[tex]Area = 2461.76[/tex]
If Max wants to build a rectangular walkway 4 ft wide by 1.5 ft deep by 20 ft long
from the house to the storage shed, what is the area of the walkway?
Square Feet
Answer:
80 ft^2
Step-by-step explanation:
The area of a rectangular walkway = L x W = 20 ft x 4ft = 80 ft
Please I need help with the question
Answer: Yes please tell us the question.
Step-by-step explanation:
Which of the following equations is equivalent to 4x-2=38
A. 5x=-50
B. X-20=30
C. 5x=50
D. 2x=10
A penguin walks 10 feet in 6 seconds. How far does the penguin walk in 45 seconds
Answer:
70 ish
Step-by-step explanation:
The function W(t) = 40e^–0.35t models the healing of a wound after t hours, where W(t) represents the wound area in square millimeters. What relationship do W(t) and t have?
when t = 0, W(t) > 40
when t = 0, W(t) 0, W(t) > 40
when t > 0, W(t) < 40
ASAP I'm taking test
Answer:
Pretty sure its D.
Step-by-step explanation:
Whenever I made t something higher than 0 I got something less than 40|
(Sorry if I didn't make it in time and if I did I'm taking the same test rn gl homie)
The value of function W(t) will be less then 40 if t > 0 thus option (D) is correct.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.
As per the given function,
W(t) = 40[tex]e^{-0.35t}[/tex]
By the law of indices,
W(t) = 40/[tex]e^{.035t}[/tex]
When t > 0 the value of [tex]e^{.035t}[/tex] > 1
Thus, t > 0 the value of W(t) < 40
Hence "The value of function W(t) will be less then 40 if t > 0".
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Marbles question:
John is told to find 3 specific marbles within a box of 60 marbles. The room is dark and he can’t see the marbles properly. He pours out 20 of these marbles, and blindly chooses 3 of them.
What are the chances he chooses the 3 specific marbles he was told to find?
The chances he chooses the 3 specific marbles he was told to find is 1/20.
How to calculate the probability?It should be noted that there are 60 marbles and he wants to find 3.
In this case, he poured out 20. Therefore, his chances of picking the three marbles will be 1 out of 20.
Therefore, the chances will be 1/20.
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At 60 km per hour it takes archie 10 hours to travel from his house in Manila to his house in the province. If his rate will be 120 km per hour, how long will it take him to reach his house in the province from Manila
A. 5 hours
B. 8.5 hours
C. 6 hours
D. 7.5 hours
Pls i need it now
Answer:
a
Step-by-step explanation:
5 hours
a tortoise is walking in a desert. it walks at a speed of 5 meters per minute for 156.25 meters. for how many minutes does it walk?
Answer:
31 1/4 minutes
Step-by-step explanation:
156.25/5= 31.25
Answer:
31.25 minutes
Step-by-step explanation:
156.25 divided by 5 is 31.25
Plz help me with this!?!? I will mark you brainliest plz and thank you!
Answer:
9
Step-by-step explanation:
Please answer this correctly without making mistakes
Answer: take 20% off
Step-by-step explanation:
the first one is correct because you would be getting 20% off of any purchase.
A ball is thrown from an initial height of 4 feet with an initial upward velocity of 30ft/s. The balls height h (in feet) after t seconds is given by the following. H=4+30t-16t^2n
The maximum height of the ball is at 18.0625 feet which occurs at 0.9375 s
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Let h represent the height of the ball after t seconds, hence:
h(t) = 4 + 30t - 16t²
The maximum height is at h'(t) = 0, hence:
h'(t) = 30 - 32t
-32t + 30 = 0
t = 0.9375 s
h(0.9375) = 4 + 30(0.9375) - 16(0.9375)² = 18.0625 feet
The maximum height of the ball is at 18.0625 feet which occurs at 0.9375 s
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What are the roots of f(x)=x^3-x^2-5x-3?
Answer:
x=3 and x=-1
Step-by-step explanation:
Given Descartes' Rule of Signs, there is only one positive root and one negative root.
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient.
So P could be +1, -1, +3, or -3, while Q could be 1 or -1.
Therefore, P/Q could be +1, -1, +3, or -3.
Then we use synthetic division to find the correct factor(s):
1 | 1 -1 -5 -3
___ 1_0_ -5
1 0 -5 | -8
So (x-1) is not a factor
-1 | 1 -1 -5 -3
___-1_2_ 3
1 -2 -3 | 0
So (x+1) is a factor where the quotient is x^2-2x-3 or (x-3)(x+1)
3 | 1 -1 -5 -3
___ 3_6_ 3
1 2 1 | 0
So (x-3) is a factor where the quotient is x^2+2x+1 or (x+1)^2
Given (x-3) and (x+1) are factors, we now use the Zero Product Property:
(x-3)(x+1)=0
x-3=0
x=3
x+1=0
x=-1
So the roots are x=3 and x=-1
Evaluate 4^2 - 6 ÷ 2 + 3=
Answer:The correct answer is 16
Step-by-step explanation:
4^2= 16
16-6/2+3
16-3+3
13+3=16
Please I need some answers
Two people are pulling on a rope in order to get a 2250-kg car out of a mud puddle. One person pulls with a force of 600 N and the other pulls with a force of 800 N. There is a resistive frictional force of 1200 N. What will the acceleration of the car be? (answer with 3 digits, units will be m/s/s, DO NOT put them. ) *
Assuming both people are pulling in the same direction, the net force on the car is, according to Newton's second law,
600 N + 800 N - 1200 N = (2250 kg) a
Solve for the acceleration a :
200 N = (2250 kg) a
a = (200 N) / (2250 kg)
a ≈ 0.0889 m/s/s
Given the quadratic function f(x) = 4x^2 - 4x + 3, determine all possible solutions for f(x) = 0
Answer:
The solutions to the quadratic function are:
[tex]x=i\sqrt{\frac{1}{2}}+\frac{1}{2},\:x=-i\sqrt{\frac{1}{2}}+\frac{1}{2}[/tex]
Step-by-step explanation:
Given the function
[tex]f\left(x\right)\:=\:4x^2\:-\:4x\:+\:3[/tex]
Let us determine all possible solutions for f(x) = 0
[tex]0=4x^2-4x+3[/tex]
switch both sides
[tex]4x^2-4x+3=0[/tex]
subtract 3 from both sides
[tex]4x^2-4x+3-3=0-3[/tex]
simplify
[tex]4x^2-4x=-3[/tex]
Divide both sides by 4
[tex]\frac{4x^2-4x}{4}=\frac{-3}{4}[/tex]
[tex]x^2-x=-\frac{3}{4}[/tex]
Add (-1/2)² to both sides
[tex]x^2-x+\left(-\frac{1}{2}\right)^2=-\frac{3}{4}+\left(-\frac{1}{2}\right)^2[/tex]
[tex]x^2-x+\left(-\frac{1}{2}\right)^2=-\frac{1}{2}[/tex]
[tex]\left(x-\frac{1}{2}\right)^2=-\frac{1}{2}[/tex]
[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]
solving
[tex]x-\frac{1}{2}=\sqrt{-\frac{1}{2}}[/tex]
[tex]x-\frac{1}{2}=\sqrt{-1}\sqrt{\frac{1}{2}}[/tex] ∵ [tex]\sqrt{-\frac{1}{2}}=\sqrt{-1}\sqrt{\frac{1}{2}}[/tex]
as
[tex]\sqrt{-1}=i[/tex]
so
[tex]x-\frac{1}{2}=i\sqrt{\frac{1}{2}}[/tex]
Add 1/2 to both sides
[tex]x-\frac{1}{2}+\frac{1}{2}=i\sqrt{\frac{1}{2}}+\frac{1}{2}[/tex]
[tex]x=i\sqrt{\frac{1}{2}}+\frac{1}{2}[/tex]
also solving
[tex]x-\frac{1}{2}=-\sqrt{-\frac{1}{2}}[/tex]
[tex]x-\frac{1}{2}=-i\sqrt{\frac{1}{2}}[/tex]
Add 1/2 to both sides
[tex]x-\frac{1}{2}+\frac{1}{2}=-i\sqrt{\frac{1}{2}}+\frac{1}{2}[/tex]
[tex]x=-i\sqrt{\frac{1}{2}}+\frac{1}{2}[/tex]
Therefore, the solutions to the quadratic function are:
[tex]x=i\sqrt{\frac{1}{2}}+\frac{1}{2},\:x=-i\sqrt{\frac{1}{2}}+\frac{1}{2}[/tex]
Evaluate. 1 1/2÷4
A. 2 1/2
B. 12/2
C. 3/8
D. 6
the correct answer is C. 3/8
fraction or decimals that stop are known as _____numbers.
Partial
Rational
Answer:
Step-by-step explanation:
Rational numbers are numbers that are terminating decimals or nonterminating, repeating decimals.
Like 3, -4, 7.166..
Calculate the constant of proportionality, k, for the given table.
Answer:
k = y/x
Step-by-step explanation:
1/5, 2/10, 3/15 . . . all equal to 1/5 which is what the value of k is; 'k' stands for constant of proportionality
Ceecee and Jose ate at a restaurant.
Ceecee gave a 20% tip on an $85 dinner bill.
Jose gave a 18% tip on a $80 dinner bill.
Who (Ceecee or Jose) gave the larger tip?
Nick bought 5 tickets to go to the amusement park for $65. If he wanted to buy 8 tickets, what would that cost him?
Answer:
$104
Step-by-step explanation:
First find how much 1 ticket costs
65/5= 13
Times that by 8
8x13=104
Dreyfus cashed a check for $145. The teller gave him five $20 bills, two $20 bills, and f $1 bills. How many $1 bills did he get?
Answer:
5 singles
Step-by-step explanation:
5 $20= 100
2 $20= 40
remainder is 5 singles
Answer:
5 $1 bills.
Step-by-step explanation:
The expression to reflect this problem is:
145 = 20(5) + 20(2) + 1x
145 = 100 + 40 + 1x
145 = 140 + 1x
145 - 140 = 140 + 1x - 140
5 = 1x
5 ÷ 1 = 1x ÷ 1
5 = x
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