Answer:
6.47secs
Step-by-step explanation:
Given the height of the rocket modelled by the equation;
h = – 16t^2 + 102t + 10, where ‘t' is the time in seconds
The rocket will hit the ground at h = 0
Substitute into the equation
– 16t^2 + 102t + 10 = 0
Multiply through by -1
16t^2-102t-10 = 0
t = 102±√(102)²-4(16)(-10)/2(16)
t = 102±√10404+640/32
t = 102±√11044/32
t = 102 ±105.09/32
t = 102+105.09/32
t = 207.09/32
t = 6.47secs
Hence it will take 6.47secs for the rocket to hit the ground
. Rewrite the expression by using the Distributive Property: 8(5x - 4) *
Answer:
40x-32
Step-by-step explanation:
First, you multiply 8 time 5x which equals 40x. Next, you multiply 8 times 4 which equals 32, so it is 40x-32
explain why 1/12 + 1/2= 7/12
Answer:
1/12 + 1/2 = 1/12 + 6/12 - 1+6/12 = 7/12
Step-by-step explanation:
hope this makes sense
Step-by-step explanation:
1/2 of 12/12 is 6/12.
So, this means: 1/12 + 1/2 = 7/12
is
1/12 + 6/12 = 7/12
Find the value of x and the measure of the angle labeled 3x°.
A. X= 14; angle measure is 30°.
B. X = 10; angle measure is 42°.
C. X= 14; angle measure is 42°.
D. x = 10; angle measure is 30°.
Answer:
answer is B............
Step-by-step explanation:
72-42...30
angle is 3x so divide it by 3
30 divided by 3 gives you 10
Answer:
D. x = 10; angle measure is 30°.
Step-by-step explanation:
I did this exact question on A P E X and it correct. I hope this helped. Have a good day!
Proof:
Help please I’ll give a Brainly thing
Answer:
C
Step-by-step explanation:
a quadratic is an equation in the form f(x) = ax2 + bx + c. C is in this form. A quadratic cannot have a variable as the exponent, like A, but must have an exponent, among other things. C is the only answer that meets these criteria.
Need help ASAP Please
Answer:
The answer is d
Step-by-step explanation:
[tex]\frac{PQ}{JK}[/tex] ≅ [tex]\frac{PS}{JL}[/tex]
find the distance between the points (4,22) and (20,10)
Answer: (16,-12)
Step-by-step explanation: just cuz... just listen linda
Answer:
(16,-12)
Step-by-step explanation:
I used a graph to get this answer
Someone pls help and explain
Answer:
I can help with number 7 if you want
1. Equation
y=15x + 10
This is the answer because 10 intercepts on the y axis and it says $15 dollars each.
2. -2 so you do y-y and x-x. In this case its 4-2 and 2-3 which equals 2 and -1 . Which divided equals -2.
Sorry I can't figure out the rest but I did do these ones.
Find the area of the triangle to the nearest tenth
what is the measure of Angle C
Answer:
59
Step-by-step explanation:
(2x-1)+(3x+1)+x=180
6x=180
x=30
((2×30)-1)= 59
What ratio in simplest form. 36:12
A carton of milkshake comped with 25% extra free. A normal size carton is 320ml calculate the volume of milkshake in the larger carton. find 25% of 320
Step 1: Our output value is 350.
Step 2: We represent the unknown value with $x$.
Step 3: From step 1 above,$350=100\%$.
Step 4: Similarly, $x=25\%$.
Step 5: This results in a pair of simple equations:
$350=100\%(1)$.
$x=25\%(2)$.
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
$\frac{350}{x}=\frac{100\%}{25\%}$
Step 7: Again, the reciprocal of both sides gives
$\frac{x}{350}=\frac{25}{100}$
$\⇒x=87.5$
Therefore, $25\%$ of $350$ is $87.5$
at a summer camp there is one counselor for every 5 campers.
Answer:
Then if there were 10 campers, there would be 5 counselors
Step-by-step explanation:
For every five campers, there is one counselor. Divide the number of campers by 2 two find how many counselors there are.
What is 5% of $37.95
Answer:
$1.90
Step-by-step explanation:
I think so sry if I'm wrong
boom roasted
A polygon has a perimeter of 18 units. It is dilated with a scale factor of 3/2 what is
the perimeter of its image?
Answer:
A
Step-by-step explanation:
Is the correct answer
The perimeter of the polygon after dilation = 27 unit
What is dilation factor?The scale factor in a mathematical object's dilatation defines how much the picture will grow or shrink in relation to the original thing.
The perimeter of polygon = 18 unit,
Since, the scaling factor is 3/2,
So when the polygon is dilated, the perimeter of the polygon will also multiply with 3/2,
Perimeter of polygon = 18×3/2
= 27 unit
The perimeter of the polygon after dilation = 27 unit
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What are the roots of the equation?
10x2 - 6x + 4 = -3x
Answer:
(3 +/- i*sqrt(151) / 20 (no real solutions)
Step-by-step explanation:
10x^2 - 6x + 4 = -3x
Add 3x to both sides
10x^2 - 6x + 4 + 3x = -3x + 3x
10x^2 - 6x + 4 + 3x = 0
Add like terms
10x^2 - 3x + 4 = 0
We have to use quadratic formula to find the answers
For this equation, a = 10, b = -3 and c = 4
Note: +/- is plus or minus
Quadratic formula:
x = (-b +/- sqrt(b^2 - 4ac)) / 2a
x = (-(-3) +/- sqrt(-3^2 - 4(10)(4))) / 2(10)
x = (3 +/- sqrt(9 - 160)) / 20
x = (3 +/- sqrt(-151) / 20
x = (3 +/- i*sqrt(151) / 20
if there's a "-" sign inside a square root, it will give you an imaginary number.
Example:
-sqrt(9) = -3
sqrt(-9) = 3i (first you will ignore the "- " sign, then square the number. After finding the square root, take that '-' sign and turn it to an "i")
So for sqrt(-151), 151 is not a perfect square, so you will get a decimal number. Leave it as it is:
sqrt(151). We can't forget about the "-". Turn the minus into a sign.
It will be i*sqrt(151)
Imaginary numbers can't be simplified, so this is the answer.
(3 +/- i*sqrt(151) / 20
sqrt(y^6) = -y^3
y=?
Answer:
they answer is y^6=−y^3
Step-by-step explanation:
Answer:
y^6=−y^3
Step-by-step explanation:
The vertices of a swimming pool are E(5, 5), F(5, 20), G(35, 20), and H(35, 5). The endpoints of a line that divides the pool into two sections are J(15, 5) and K(15, 20). The coordinates are measured in meters. What is the area of each section?
Answer:
Step-by-step explanation:
In ∆PQR, if m∠P=x–12,m∠Q=5x–27, and m∠R=2x+3, write an equation and solve for x. x =
Answer:
∠p= 15° , ∠q = 108° , ∠r = 57° Is the Answer
Step-by-step explanation:
, (x -12)° + (5x-27)° + (2x + 3)° = 180°
or, 8x° -36° = 180°
Or x =
So, x = 27°
∴ ∠P = 27° -12° = 15°
∠q = (5 × 27)° -27° = 108°
∠r = (2 × 27)° + 3° = 57°
can you try to solve this plz
Answer:
50 dgrees
Step-by-step explanation:
staruight line is 180 so 180 minus 130 is 50
please help me with this
Answer:
hard core question
Step-by-step explanation:
please help me with thisssss!!!!!!
Its either 2/5 or 4/5
Answer: The answer is 2/5 hope i helped! Mabye brainliest? ^^
Step-by-step explanation: if you can pick more than 1, pick 2/5 and 4/5
Write and solve the equation to the model below. equation x = ? pls answer pls i need it for a test
**********URGENT***********
The time required to complete a job varies inversely as the number of people working. It took 4 hours for 7 electricians to wire a building. How long would it have taken 3 electricians?
A. 1 hour 43 minutes
B. 5 hours 15 minutes
C. 7 hours 30 minutes
D. 9 hours and 20 minutes
Answer:
9 hours and 20 minutes: b
Step-by-step explanation:
4*60=240
7x240=1680
1680/3=560
560= 9 h 20 m
The time required when 3 electricians are working is 9 hours and 20 minutes.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
The time required to complete the job varies inversely with the number of people working.
This means that if the number of people working decreases, the time required to complete the job will increase.
We can use the formula for inverse variation to solve the problem:
t = k/n
where t is the time required to complete the job, n is the number of people working, and k is a constant of proportionality.
We can find k by plugging in the given values:
4 = k/7
k = 28
Now we can use the formula to find the time required when 3 electricians are working:
t = 28/3
t ≈ 9.33 hours
Converting this to hours and minutes, we get:
t ≈ 9 hours and 20 minutes
Thus,
The time required when 3 electricians are working is 9 hours and 20 minutes.
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Which model shows ^3√64 = 4 ?
Answer:
if we carefully observe, left-bottom model contains 4 units on each side of the cube.
Therefore, we conclude that left-bottom model represents the [tex]\sqrt[3]{64}=4[/tex].
The correct model is attached below.
Step-by-step explanation:
Given the expression
[tex]\sqrt[3]{64}=4[/tex]
Cubing both sides
64 = 4³
Thus, the cube will have 4 units on each side.
Now, if we carefully observe, left-bottom model contains 4 units on each side of the cube.
Therefore, we conclude that left-bottom model represents the [tex]\sqrt[3]{64}=4[/tex].
The correct model is attached below.
WILL GIVE BRAINIEST!!!!
Answer:
A
Step-by-step explanation:
I graphed it
Answer:
The answer is 6y - 7x = 48
If you graph it you will see it is 6y - 7x = 48
Hope this helps!
(6.3x10^3)x(7x10^-5) in standard form
please answer asap
Answer:
0.441
Step-by-step explanation:
[tex](6.3 \times 10^3) \times (7 \times 10^{-5} ) \\ \\ = 6.3 \times 7 \times 10^3\times 10^{-5} \\ \\ = 44.1 \times {10}^{3 - 5} \\ \\ = 44.1 \times {10}^{ - 2} \\ \\ = 0.441 [/tex]
Can someone plz help me pretty plz
Step-by-step explanation:
[tex] \sqrt{9} + \sqrt{25} - 8 \div 2 + {3}^{2} \\ = 3 + 5 - 4 + 9 = 13[/tex]
ABCD is a parallelogram, find x+ y
Answer:
Step-by-step explanation:
Here, ABCD is a parallelogram.
∠CBD=40
o
and ∠BAD=80
o
.
AD∥BC and BD is a transversal.
∴ ∠ADB=∠CBD [ Alternate angles ]
∴ ∠ADB=40
o
.
∴ y=40
o
.
In △ADB,
⇒ ∠ADB+∠DBA+∠BAD=180
o
⇒ 40
o
+x+80
o
=180
o
⇒ 120
o
+x=180
o
⇒ x=180
o
−120
o
⇒ x=60
o
We get, x=60
o
and y=40
o
.
A cat's heart rate beats about 130 beats per minute. A kitten's heartbeat can be as fast as 240 beats per minute. What fraction of the kittens heart rate is the cat's heart rate? Write the answer in simplest form
Answer:
13/24
Step-by-step explanation:
For every 24 heart beats of the kitten, the cats heart beats 13 times.
Please give the explanation and the answer
Answer:
b
Step-by-step explanation: