Answer:
the distance of the object before it hits the ground after launch is t = 1.592 seconds
Step-by-step explanation:
The height of an object launched upward from ground level is given by the function s(t) = -4.9t² +7.8t
when the object reach the ground then s(t) = 0
So; -4.9t² +7.8t = 0
-4.9t² +7.8t + 0 = 0
By using the quadratic equation
[tex]\mathbf{\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}}[/tex]
where; a = -4.9 ; b = 7.8 and c = 0
[tex]\mathbf{=\dfrac{-(7.8) \pm \sqrt{(7.8)^2-4(-4.9)(0)} }{2(-4.9)}}[/tex]
[tex]\mathbf{=\dfrac{-(7.8) \pm \sqrt{(60.84} }{-9.8}}[/tex]
[tex]\mathbf{=\dfrac{-(7.8) + \sqrt{(60.84} }{-9.8} \ \ \ \ OR \ \ \ \ \mathbf{\dfrac{-(7.8) - \sqrt{(60.84} }{-9.8}}}[/tex]
[tex]\mathbf{=0 \ \ \ OR \ \ \ 1.592 }}[/tex]
Hence; the distance of the object before it hits the ground after launch is t = 1.592 seconds
Describe the pattern of the number sequence 1, 9, 17, 25, 33, .... by using algebraic expressions
Answer:
8n + 1, where n is a whole number greater than or equal to 0.
Step-by-step explanation:
Every number on this list is one more than a multiple of 8, so if n is a whole number great than or equal to 0, the expression 8n describes every multiple of 8, and 8n + 1 describes every number one more than a multiple of 8.
The sequence is an arithmetic sequence.
The pattern is 1 + (n - 1)8.
What is an arithmetic sequence?It is a sequence where the difference between each consecutive term is the same.
Example:
2, 4, 6, 8 is an arithmetic sequence.
We have,
1, 9, 17, 25, 33,....
This is an arithmetic sequence.
The first term is 1.
a = 1
The common difference is 8.
d = 8
i.e
9 - 1 = 8
17 - 9 = 8
25 - 17 = 8
The nth term of an arithmetic sequence.
= a + (n -1)d
= 1 + (n - 1)8
Thus,
The pattern of the sequence is 1 + (n - 1)8.
Where n is the term of the number.
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|n|=5 what is the value for n.
A -5or5
B 0 and 5
C -5 only
D 5 only
Answer:
A -5or5
Step-by-step explanation:
|n|=5
Absolute value means take the positive value of the number
|5|=5
|-5|=5
so positive 5 and -5
Find the volume of the following solid figure. Use = 3.14.
V = 4/31tr3. A sphere has a radius of 4.5 inches.
Volume (to the nearest tenth) =
cubic inches.
381.5
56.5
84.8
A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 35% salt and Solution B is 80%
salt. She wants to obtain 90 ounces of a mixture that is 40% salt. How many ounces of each solution should she use?
Solution A:
Solution B:
Answer:
80? bc yhu cant use solution a because it only has 35...i think
Step-by-step explanation:
if im wrong sorry
The requried scientist should use 80 ounces of Solution A (35% salt) and 10 ounces of Solution B (80% salt) to obtain a 90-ounce mixture that is 40% salt.
Let's assume the scientist uses x ounces of Solution A and y ounces of Solution B to obtain the desired mixture.
From the information given, we can set up the following equations:
Equation 1: The total amount of solution is 90 ounces, x + y = 90
Equation 2: The amount of salt in the mixture can be expressed as, 0.35x + 0.80y = 0.40 * 90
Simplifying Equation 2:
0.35x + 0.80y = 36
To solve these equations, we can use substitution or elimination. Let's use the substitution method.
From Equation 1, we can express x = 90 - y and substitute it into Equation 2:
0.35(90 - y) + 0.80y = 36
31.5 - 0.35y + 0.80y = 360
45y = 4.5y = 10
Substituting y = 10 back into Equation 1:
x + 10 = 90
x = 80
Therefore, the scientist should use 80 ounces of Solution A (35% salt) and 10 ounces of Solution B (80% salt) to obtain a 90-ounce mixture that is 40% salt.
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Classify the following triangle. Check all that apply.
51
12.1
/59
70"
10
A. Scalene
I B. Equilateral
O C. Right
D. Acute
O E. Obtuse
O F. Isosceles
none of the answers I saw had the same triangle
Answer:
acute
Step-by-step explanation:
the largest number for the angles is 70 wich is an acute number and since the angles are all not equal its not equilateral
Answer:
it D . acute and A .scalene
A Bowling ball is rolled down the alley with the constant velocity of 1.6 m/sec at an angle of 85° to the starting line, the position of the person throwing a bowling ball can be represented by the point (0,0). where is the ball after six seconds?
We have been given that a Bowling ball is rolled down the alley with the constant velocity of 1.6 m/sec at an angle of 85° to the starting line, the position of the person throwing a bowling ball can be represented by the point (0,0).
We are asked to find the position of ball after 6 seconds.
We will use horizontal position and vertical position formula to solve our given problem.
Horizontal position is given by formula: [tex]x=v\cdot \text{cos}(\theta)\cdot t[/tex] and vertical position is given by formula: [tex]y=v\cdot \text{sin}(\theta)\cdot t[/tex],where,
v = Velocity,
t = Time,
[tex]\theta[/tex] = Angle to the starting line.
For our given problem [tex]v=1.6[/tex], [tex]t=6[/tex] and [tex]\theta=85^{\circ}[/tex].
[tex]x=1.8\cdot \text{cos}(85^{\circ})\cdot 6[/tex]
[tex]x=10.8 \cdot 0.087155742748[/tex]
[tex]x=0.9412820216784\approx 0.94[/tex]
[tex]y=1.8\cdot \text{sin}(85^{\circ})\cdot 6[/tex]
[tex]y=10.8\cdot 0.996194698092[/tex]
[tex]y=10.7589027\approx 10.76[/tex]
Therefore, the position of ball after 6 seconds would be [tex](0.94,10.76)[/tex].
Answer:
(0.8,9.6)
Step-by-step explanation:
x=1.6*cos85* 6=0.8
y=1.6*sin85 *6=9.6
What is the slope of y=5x-1y=5x−1y, equals, 5, x, minus, 1?
Answer:
5
Step-by-step explanation:
In this question the slope would be 5.
y= mx + b is the equation being used.
y = 5x -1
m = slope
Answer:
5
Step-by-step explanation:
The number of points Emerson scored in 5 basketball games is 10, 8, 9, 8,
and 30. Why might it be misleading to Emerson to say that she averages 13
points per game? *
Answer:
because she usually gets lower scores but her avarge is 13 because she make 30 in one game witch is an outlire
Step-by-step explanation:
if im wrong im sorry if not pls brainlyest
Which ordered pair is a solution of the equation?
2x + 4y = 6x - y
a. only 4,5
b. only 5,4
c. both 4,5 and 5,4
d. neither
pls answer
ill mark brainliest
Answer:
b. only 5,4
Step-by-step explanation:
I NEED HELPPPPP!!!! PLZZZ
Answer:
13.5
Step-by-step explanation:
Which expression is equivalent to 10√5
Answer:
A. √500
Step-by-step explanation:
Since 500 = 5·100 = 5·10² you can move the 10² out of the √ as 10.
Hence 10√5 = √500
So we're using these rules:
√a·b = √a·√b
and of course
√a² = a (a>0)
PLEASE HELP IM DUMB AND I NED THIS ASAP
Width (7.8) x length (7.8) x width (7.8) = 474.552
Macy has a circular garden that has a radius of 4.5 meters. What is the circumference of her garden? Use 3.14 for pi
A. 28.26
B. 56.52
C. 63.58
D. 14.13
Answer:
A
Step-by-step explanation:
The formula for circumference is C = 2[tex]\pi[/tex]r. When plugging in these values, 2 x 3.14 x 4.5 is equal to 28.26.
Circumference of her garden is 28.26 m. So, Option 'A' is the correct answer to the following question.
Circumference based problem:What information do we have?
Radius of circular garden = 4.5 m
Circumference of her garden = circumference of circle
So,
Circumference of her garden = 2πr
Circumference of her garden = 2(3.14)(4.5)
Circumference of her garden = 28.26 m
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Whats the distance between the points (-9,2) and (-4,2)?
A. 5
B. 13
C. 7
D. 2
Answer:
Distance between the points (-9,2) and (-4,2):
D = sqrt[(-9 - -4)^2 + (2 - 2)^2] = 5
=> Option A is correct
Answer:
B.13
Step-by-step explanation:
In order to solve the distance between two points you need the distance formula which is -> Distance = √ (x1 - x2)^2 + (y1 - y2)^2
-9 would be x1 and -4 would be x2(so the first numbers of both sets)
Then 2 would be y1 the other 2 would be y2(in this question they both have the same Ys)
You plug in the numbers to the formula.
Which would be:
Distance = √ (-9-4)^2 + (2-2 )^2
Start solving the first part and you will get this:-9-4=-13.Now that the inside is solved,you do the rest,you multiply what you got with the exponent.√(-13)^2=√169.
Then do the second part which is more simple.2-2=0 and when you multiply anything with a 0 is still 0 so when multiplied with the exponent,it stays the same.
You get left with the same answer of √169 and you just have to square root that which is 13.To check your answer,multiple 13*13 which you should get 169.:) Hopefully this was helpful and you understood everything I meant.
Please help ASAP will mark brainliest
Simplify.
8(12 - p)
20 - (8+p)
96 - 8p
96 - p
96p
So the right answer is of option C
Look at the attached picture
Hope it will help u ..
Please help ;-;, I really need it-
Answer:
See below
Step-by-step explanation:
For a more detailed explanation, take a look at PDF below;
Surface Area of First Figure; 544 in^2,
Surface Area of Second Figure; 276 ft^2,
Surface Area of Third Figure; 1240 yd^2
MULTIPLE CHOICE:
A. x2 + 1 = 2x − 3
B. x2 – 2x − 1 = 3
C. x2 + 2x − 1 = 3
D. x2 + 2x − 1 = -3
Answer:
C
Step-by-step explanation:
The first term -2 is also -B; therefore A and B can be eliminated.
-1+3 is 2, and -4 is the only term used in the formula, so D is also eliminated
Maya is researching energy costs. She made a table of the cost for different numbers of gallons of gasoline. How much will 12 gallon cost?
A.$7.80
B.$23.40
C. $31.20
D. not enough information
Answer:
The answer is B
Step-by-step explanation:
BEcause I took the test
Answer:
B. $23.40
Step-by-step explanation:
1. You have to divided the cost by the number of gallons to get the the cost per gallon
2. multiply the number of gallons by the cost per gallon that you found
Then you have your answer!
Look at the data points on the graph:
Is this relation a function?
Find the area of the trapezoid by decomposing it into other shapes.
A) 25 cm2
B) 27 cm2
C) 30 cm2
D) 35 cm2
Answer:
35 cm2
Step-by-step explanation:
Answer:
The area of the trapezoid would be 30 cm squared.
Step-by-step explanation:
Suppose that y varies inversely with x. Given x=-3 when y=-105. Find y when x=15
Answer:
21
Step-by-step explanation:
It is given that y varies inversely with x.
[tex]y\propto \dfrac{1}{x}[/tex]
[tex]y=\dfrac{k}{x}[/tex] ...(i)
where, k is constant of proportionality.
It is given that x=-3 when y=-105. Substitute these values in equation (i), to find the value of k.
[tex]-105=\dfrac{k}{-3}[/tex]
[tex]-105\times (-3)=k[/tex]
[tex]315=k[/tex]
Now,
[tex]y=\dfrac{315}{x}[/tex]
Substitute x=15 in the above equation.
[tex]y=\dfrac{315}{15}[/tex]
[tex]y=21[/tex]
Therefore, the value of y is 21 when x=15.
Emma can run 4.5 miles in 36 minutes. How many miles can she run in 2 hours if she keeps a constant pace?
Answer:
13.34
Step-by-step explanation:
Answer:
15 miles is the answer, I hope this helps
Step-by-step explanation:
1. Set up a proportion
2. Convert 2 hours to 120 minutes
3. Cross multiply then divide the remaining number in the proportion
Use the law of sines to find the length of side c.
C
be
41.59
37
42°
А
С
CD
O A. 36.64
B. 54.94
C. 37
37 36
Without the calculator let's just estimate that .5/42 = 1.2% change in the angle; we reduce the length a=37 by 1.2% to get 37×.988=36.556. That's probably good enough to choose A.
Let's do it the way they want.
[tex]\dfrac{\sin C}{c} = \dfrac{\sin A}{a}[/tex]
[tex]c = \dfrac{a \sin C}{\sin A} = \dfrac{37 \sin 41.5}{\sin 42} = 36.6400[/tex]
Answer: A
Estimate worked. Sine is approximately linear when the range is small enough.
omg please help meee fastttt
Answer:
Jill will make less money if they both work 3 hours
Step-by-step explanation:
Trust me. I hope this helps :)
The last option(D)
Solve for x.
-30 = 5(x+1)
Answer:
−30=5(x+1)
Step 1: Simplify both sides of the equation.
−30=5(x+1)
−30=(5)(x)+(5)(1)(Distribute)
−30=5x+5
Step 2: Flip the equation.
5x+5=−30
Step 3: Subtract 5 from both sides.
5x+5−5=−30−5
5x=−35
Step 4: Divide both sides by 5.
5x5=−355
x=−7
Answer:
x=−7
Answer:
x = -7
Step-by-step explanation:
Since this problem has the distributive property, we can simplify the problem.
-30 = 5x + 5
Now we have to subtract 5 from both sides because of the +5.
-35 = 5x
To find the answer, we have to move all the real numbers to one side, the variable on the other. To do this, we can simply divide both sides by 5.
-7 = x
x = -7
Amanda and Mary each have a box of popcorn.
Whose box holds more popcorn?
How much more popcorn does the bigger box hold than the smaller box?
Answer:
Amanda's box volume is 70 cm^3 greater than Mary's
Step-by-step explanation:
Find and then compare the volumes of the two boxes:
Amanda's: 10*10*13.5 cm^3 = 1350 cm^3
Mary's: 8*8*20 = 1280 cm^3
Amanda's box volume is 70 cm^3 greater than Mary's.
find the volume, help please all numbers are in inches, will mark brainleist
Prism volume will be base area times height. We have a right triangular base, so its area is half the product of its legs, area (1/2)(6)(8)=24. The prism has a height 13. Multiplying we get a volume of 24×13 = 312 cubic inches.
Answer: 312 cubic inches
HELP ME WITH MY 7th-GRADE MATH HW (will mark brainless)
Answer:
124 sq cm
Step-by-step explanation:
Surface Area of the recatangles on both sides is 50 cm each so
50+50=100
and the area of the two triangles is 12 each so
12+12=24
and 100+24=124
Answer:
184cm^2
Step-by-step explanation:
SA=hp+2B
h=10
p=16
hp=160
B= 1/2bh
B=12
12x2=24
hp+2B= 24+160= 184
Solve the equation in the image
Answer: 55
Step-by-step explanation:
[tex]\sqrt[3]{4x-4}=6[/tex]
Begin by cubing each side of the equation to get rid of the cubic root.
[tex](\sqrt[3]{4x-4})^3=(6)^3\\ 4x-4=216[/tex]
add 4
[tex]4x-4+4=216+4\\4x=220[/tex]
Divide by 4
[tex]\frac{4x}{4}=\frac{220}{4}[/tex]
[tex]x=55[/tex]
Answer:
it is zero
Step-by-step explanation:
