Answer:
Step-by-step explanation:
If the velocity of a falling body varies directly as the time of flight, this is expressed as;
v α t
v = kt
k = v/t
If at t = 2secs, v = 64.4ft/s
k = 64/2
k = 32 ft
To get the velocity at the end of 5 secs, we will say;
at t = 5secs v = ?
From the formula;
v = kt
v = 32(5)
v = 160ft/s
Hence the required velocity is 160ft/s
How do you write 352 in expanded form
Answer:
300+ 50 + 2
Step-by-step explanation:
If you add 300+50+2 you get 352 all you need to do is break down the number to pieces! :)
Explanation:
The number 352 has 3 in the hundreds place, 5 in the tens place, and 2 in the ones place.
So that's why 352 = 300 + 50 + 2
Every month Michael pays $39.95 for phone service plus $0.10 for every text message over a preset limit. Which equation represents the amount of money Michael pays for phone service each month, y, with x text messages over the limit? what is the equation?
Find two integers whose sum is 19 and product is 90
Answer:
Step-by-step explanation:
The two integers are 10 and 9
10 + 9 = 19
10 x 9 = 90
The two numbers are 9 and 10.
What are integers?A number without a decimal or fractional element is known as an integer, which can be both positive and negative, including zero
Let the two integers be x and y.
Given that, the sum of the integers is 19, therefore,
x + y = 19
x = 19 - y
Given that, the product of the integer is 90:
xy = 90
(19-y)y = 90
19y - y² = 90
y² -19y + 90 =0
y² -10y - 9y + 90 = 0
y(y - 10) -9(y - 10) = 0
(y -9)(y - 10) = 0
y = 9 and y = 10
Hence, the two numbers are 9 and 10.
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Consider the following.
cos(x) = x3
A) Prove that the equation has at least one real root.
The equation cos(x) = x3 is equivalent to the equation f(x) = cos(x) − x3 = 0. f(x) is continuous on the interval (0, 1) there is a number c in (0, 1) such that f(c) = 0 by the Intermediate Value Theorem. Thus, there is a root of the equation cos(x) = x3, in the interval (0, 1).
B) Use your calculator to find an interval of length 0.01 that contains a root.
Answer:
Step-by-step explanation:
Given that:
cos(x) = x³
f(x) = cos (x) - x³
f(x) is continuous on the interval (0, 1)
when;
f(0) = cos (0) - (0)
f(0) = 1 - 0
f(0) = 1 > 0
f(1) = cos (1) - 1³
f(1) = 0.5403 - 1
f(1) = -0.4597
f(1) = - 0.46
f(1) = - 0.46 < 0
Since, 1 > 0 > -0.46, thus there is a number ''c" in (0,1)
such that f(c) = 0
By applying the Intermediate Value Theorem, there is a root of the equation in the interval (0,1)
b) Given that:
The interval length = 0.01; this implies that it is 0.005 length from its root.
f(0.865) = 0.0014
f(0.87) = - 0.013
The solution to the interval lies between 0.865 , 0.87 by using a calculator at length 0.01.
5x +9–3(x-1)=(3x –13)+(4x -30)
Help please
Answer:
x = 11
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
5x + 9 - 3(x - 1) = (3x - 13) + (4x - 30)
Step 2: Solve for x
Distribute 3: 5x + 9 - 3x + 3 = 3x - 13 + 4x - 30Combine like terms: 2x + 12 = 7x - 43Subtract 2x on both sides: 12 = 5x - 43Add 43 on both sides: 55 = 5xDivide 5 on both sides: 11 = xRewrite: x = 11Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 5(11) + 9 - 3(11 - 1) = (3(11) - 13) + (4(11) - 30)Multiply: 55 + 9 - 3(11 - 1) = (33 - 13) + (44 - 30)Subtract: 55 + 9 - 3(10) = 20 + 14Multiply: 55 + 9 - 30 = 20 + 14Add: 64 - 30 = 34Subtract: 34 = 34Here we see that 34 does indeed equal 34.
∴ x = 11 is a solution of the equation.
Answer:
x=11
Step-by-step explanation:
[remember: (-)(-) is (+) , (-)(+) is (-) , (+)(+) is (+)]
5x + 9 – 3(x-1) = (3x –13) + (4x -30)
5x + 9 -3x + 3 = 3x -13 + 4x -30
5x -3x + 9 + 3 = 3x + 4x -13 -30
2x + 12 = 7x - 43
2x - 7x = -43 - 12
-5x = -55
x = -55/-5
x = 11
hope you understood!!
Gloria pays her insurance three times each year. The first payment is 50% of the annual
premium, and each of the next two payments is 25% of the annual premium. If the annual premium is
$1024, how much is each payment?
Answer:
First payment (50%) would be 512$
The next two payments would be 32$ each
Explanation:
.5(1024)= 512
.25(512)=128
.25(128)= 32
Help!!Find the y-intercept of the line on the graph.
Enter the correct answer.
The y-intercept of the graph is -3
How to find the y-intercept of a graph?The y-intercept is the point where the line intersects the y-axis. This is the value of y when x is equals to zero.
Using slope intercept formula,
y = mx + b
where
m = slopeb = y-interceptNow, let's trace the value of y when x = 0 in the graph.
Therefore,
when x = 0, y = -3
Hence, the y-intercept of the graph is -3
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Can someone help me with 5-6
Answer:
B, C
Step-by-step explanation:
I love slope
What is the equation of the linear function?
= -x + 6
A
y = -2x + 3
y=-3x +3
y = ;& + 3
Done
1. Determine which of the congruency shortcuts can be used to prove that point
the triangles are congruent.
+
SSS
SAS
ASA
AAS
HL
Not enough information
Answer:
SSS
Step-by-step explanation:
it shows that all three sides are congruent by the congruency lines
it does not show any angles, and it does not show only one or two sides are congruent
What is the answer to this
2(x-5)-6=-18
x=___
Answer:
x= -1
Step-by-step explanation:
Distribute:2(x -5) -6 = -18
2x -10 -6 =-18
Subtract the numbers:2x -10 -6 =-18
2x -16 = -18
Add 16 to both sides of the equation:2x =16 += -18
2x -16 +16 = -18 +16
Simplify:2x = -2
Divide both sides of the equation by the same term:2x/2 = -2/2
Simplify:x=-1
Answer:x = -1
8(-4a + 8b) = 240please
Answer:
= -32a+64b
Step-by-step explanation:
thats the answer
What is the slope of 3x-2y=7?
Answer:
The slope is -3/2
Step-by-step explanation:
Hope this helped have a good day!
⚠️⚠️What is the output value, if the input value is 30?⚠️⚠️
THIS IS MY LAST ONE HELP
Answer:
15
Step-by-step explanation:
15 is half of 30, the output values are the input values divided by 2 :)
solve an equation x/17= -4
Answer:
-68
Step-by-step explanation:
X/17=-4
X=-68
So the answer is -68
what are the three products of celullar respiration
Answer:
Cellular respiration is this process in which oxygen and glucose are used to create ATP, carbon dioxide, and water. ATP, carbon dioxide, and water are all products of this process because they are what is created.
Step-by-step explanation:
Caylan is making bakes goose for a charity bake sale ha places a tray of scones a tray of muffing and a tray of cookies in the oven the second bake for 15 the muffins bake for 12 minutes and the cookies bake for 10 minutes when one tray is done he removes it a replaces it with another tray of the same item how many minutes after caylan puts the trays in the oven will he first remove the scones muffins and cookies at the same miinutes
Answer:
Step-by-step explanation:
an hour, or 60 minutes
Answer:
60 minutes
Step-by-step explanation:
i d 1 0 t
what is the answer to (-3)×(-5)
Answer:
15
Step-by-step explanation:
-3 x -5 = 15
Solve for x in the equation: 2x-7=14
Answer: x=10.5
Step-by-step explanation:
To solve for x, we want to use our properties to isolate x.
2x-7=14 [add both sides by 7]
2x=21 [divide both sides by 2]
x=10.5
Now, we know that x=10.5.
Find the area of the shape below
Answer:
????
Step-by-step explanation:
Answer:
where's the shape
Step-by-step explanation:
what's the length and width, maybe I can help
(PLEASEEE HELP) Which graph of which line represents a
proportional relationship?
Graph A
Graph B
Graph C
Graph D
Look carefully at the graph of multiple graphs shown below. Which of the graphs
represents or shows a proportional relationship?
Answer:
B
a proportional relationship in a graph needs to go through the 0.0, and also needs to be a stright line.
In a bag of coloured jellybeans, the ratio of yellow to orange to red is 6 : 5 : 4. If there are 60 jellybeans in the bag, how many of each colour are there?
Based on the ratio of the jellybeans and the number of jellybeans, the number of each is:
Yellow = 24 jellybeansOrange = 20 jellybeans Red = 16 jellybeansTo find the number of yellow jellybeans:
= Ratio of Yellow/ Sum of ratios x Number of jellybeans in total
= 6 / (6 + 5 + 4) x 60
= 24 yellow jellybeans
Orange jellybeans:
= 5 / 15 x 60
= 20 orange jellybeans
Red jellybeans:
= 4 / 15 x 60
= 16 red jellybeans
In conclusion, there are several colors of jellybeans.
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HELP ASAP OTS DUE IN 5 MINUTES!!!!
Find the slope of the line.
0-5
0 -1
O 1
None of the above
Answer:
0 -1
Step-by-step explanation:
because the line is going down which is negative
3 − 3k + 7k = 5b find the equation for k
Answer:k=5b/4 - 3/4
Step-by-step explanation:
Answer:
[tex]k=\frac{5}{4}b - \frac{3}{4}[/tex]
Step-by-step explanation:
-3k + 7k = 5b - 3
4k = 5b - 3
[tex]k=\frac{5}{4}b - \frac{3}{4}[/tex]
In Joey's neighborhood the ratio of families with dogs to families with cats is 5 to 2. There are 15 more families with dogs than families with cats. How many families have cats, and how many families have dogs?
Answer:
10 families have cats
25 families have dogs
Step-by-step explanation:
The difference of ratio units is 5-2 = 3. The difference in pet counts is 15, so we can see that each ratio unit stands for 15/3 = 5 pets. Then ...
dogs : cats = 5 : 2 = (5·5) : (2·5) = 25 : 10
There are 10 families with cats and 25 families with dogs.
Answer:
B D and E.
Step-by-step explanation:
help im being timed what is the perimeter of this triangle?!
Answer:
AB + BC + CA
Step-by-step explanation:
12b-8 + 12b- 8 + 9b+8
33b - 8
Solve for x.
9(x + 1) = 25 + x
O x= 2
O x = 3
0 x = 4
O x = 5
Answer:
Step-by-step explanation:
9(x+1)=25+x
9x+9=25+x subtract x both sides
8x+9=25 subtract 9 both sides
8x=16 divide by 8
x=2
Will give brainliest if correct.
Answer:
Step-by-step explanation:
a. $7.
b. $1x.
c. $20.
d. $5y.
e. $1x + $5y.
I hope this helps, sorry if I am incorrect. Have a nice day!
a line has a slope of 8 and a y intercept of 9 what is its equation in slope intercept form
Answer:
y= 8x +9
Step-by-step explanation:
Slope-intercept form:
y= mx +c, where m is the slope and c is the y-intercept.
Given that the slope is 8, m= 8.
Substitute m= 8 into the equation:
y= 8x +c
Given that the y-intercept is 9, c= 9.
Substitute c= 9 into the equation:
y= 8x +9
Thus, the equation of the line is y= 8x +9.
please help me!
Decrease £40 by 10%
Answer:
36
Step-by-step explanation:
40 * .10 = 4
40-4 = 36