Step-by-step explanation:
1. quantity, amount, or degree of something measured per unit of something else her typing rate was 80 words per minute. b : an amount of payment or charge based on another amount specifically : the amount of premium per unit of insurance.
2.A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate
Question 3 options:
The science club fires a rocket up into the air.
The height (h) of the rocket, in feet above the ground,
is modeled by the formula h=400t−16t2, where t is the time in
seconds after the rocket is launched.
How many seconds will it take for the rocket to fall to the ground?
Find the value of t, rounded to the nearest tenth.
[how many seconds it took for the rocket to hit the ground].
t =
The height of an object can be represented as a function of time.
It takes the rocket 25 seconds to hit the ground
The height function is given as:
[tex]\mathbf{h(t) = 400t - 16t^2}[/tex]
When the rocket hits the ground, we have:
h(t) = 0
So, the height function becomes
[tex]\mathbf{ 400t - 16t^2 = 0}[/tex]
Rewrite as:
[tex]\mathbf{ 16t^2 = 400t}[/tex]
Divide both sides by 16t
[tex]\mathbf{ t = 25}[/tex]
Hence, it takes the rocket 25 seconds to hit the ground
Read more about height functions at:
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(X-1)squared
Expand and simplify
Answer:
Step-by-step explanation:
(a - b)² = a² -2ab + b²
Here, a = x and b = 1
(x -1)² = x² - 2 * x *1 + 1²
= x² - 2x + 1
[tex]\sf \longmapsto \:( x + 1) {}^{2} [/tex]
[tex]\sf \longmapsto(x+1)(x+1)[/tex]
[tex]\sf \longmapsto(x)(x)+(x)(1)+(1)(x)+(1)(1)[/tex]
[tex]\sf \longmapsto \: x {}^{2} +x+x+1[/tex]
[tex]\sf \longmapsto \: x {}^{2} +2x+1[/tex]
[tex] \boxed{ \boxed{ \red {\sf x {}^{2} +2x+1}}}[/tex]
sorry here is the question!! please help and Thank you!!
Answer:
B. 4
Step-by-step explanation:
[tex] \dfrac{\sqrt{32}}{\sqrt{2}} = [/tex]
[tex] = \dfrac{\sqrt{16 \times 2}}{\sqrt{2}} [/tex]
[tex] = \dfrac{\sqrt{16} \times \sqrt{2}}{\sqrt{2}} [/tex]
[tex] = \dfrac{4\sqrt{2}}{\sqrt{2}} [/tex]
[tex] = 4[/tex]
simultaneous equations!!
solve the following pair of equations for x and y:
y + 4x = 27
xy + x = 40
Help meeeeeeeeeeee PLS ASAP
Answer:
A
Step-by-step explanation:
Answer:
angle 1 and angle 5
Step-by-step explanation:
5.3.21
Write an equation in slope-intercept form of the line with the given slope m and y-intercept b.
9
m= -4b=
Enter the equation of the line in slope-intercept form.
(Do not factor. Use integers or fractions for any numbers in the equation.)
Answer:
y = -4x + 9
Step-by-step explanation:
It cost Chloe $9.20 to send 92 text messages. How many text messages did she send if she spent $18.00?
who know plz plz !!
Answer:
180 texts
Explanation:
mutiply 92 by 0.10 and you'll get 9.2
So each text costs 10 cents.
125 divided by 15 °°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°
Answer:
8.3(3333333333333333)
Step-by-step explanation:
I need to find coordinates of Q please help!!!
Answer:
(4,3)
Step-by-step explanation: go right because it is positive to 4 and up because it is positive to 3
Plzzz help me plzzzzzz
Answer:
Circumference of a circle = pi * diameter
[tex]219.8=3.14*d[/tex]
[tex]d=\frac{219.8}{3.14}[/tex]
[tex]d=70[/tex]
Radius = half of diameter
[tex]r=\frac{1}{2} d[/tex]
[tex]r=\frac{1}{2}*70[/tex]
[tex]r=35[/tex]
Area of circle = [tex]\pi r^2[/tex], where r is the radius:
[tex]a=3.14*35^2[/tex]
[tex]a=3846.5[/tex]
If they ran around the track 3 times, they would cover the circumference three times.
[tex]219.8*3=659.4[/tex]
Convert to centimetres:
[tex]659.4*100=65940[/tex]
what is the right equation of the graph
Answer:
It's D)
C is incorrect because the constant is + 1, not - 8
A is incorrect because the f doesn't go up by 2 for every x value
B is incorrect because 2/3 * 2 would be 4/3 which is 1 1/3, which is wrong because g goes up by 2 every x.
D is correct because f goes up by 1/3, and the y-intercept is 1 (Where the line meets when the x-axis is 0) and 1/3 * 6x is 6x/3 which is 2x, then add the y-intercept to the equation, which should be 2x + 1
6x + 2(5x-6) distributive property
Answer:
16x - 12
Step-by-step explanation:
6x + 2(5x - 6)
then 2 * 5 = 10x
then 2 * (-6) = -12
that will be 10x - 12
then you have 6x + 10x -12
combine the like terms which are 6x and 10x
then 16x - 12
The solution of the equation will be (16x - 12).
What is Distributive property?
By the rule of distributive property, multiplying the sum of two or more addends by a number gives the same result as when each addend is multiplied individually by the number and the products are added together.
The expression is given as;
6x + 2(5x - 6)
Now,
Apply distributive property we can solve the equation as;
6x + 2(5x - 6)
6x + 2 × 5x - 2 × 6
6x + 10x - 12
16x - 12
Thus, The solution of the equation will be (16x - 12).
Learn more about the distributive property visit:
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Match the Vocab Word to the definition.
Remember, you are allowed to use your notes to help you!
Question 1 options:
Multiply a sum by multiplying each addend separately and then adding the products.
∙a(b + c) = ab + ac
∙k(m – n) = km - kn
Part of an expression that is added or subtracted.
∙These can be a single number or a variable, or
numbers and variables multiplied together.
A letter or symbol that represents a value.
It's a number on its own, it has a fixed value.
The number in front of a variable.
1.
Distributive Property
2.
Term
3.
Variable
4.
Constant
5.
Coefficient
Pls help with this question!!!!
There are 75 dimes in the box. This is because all of the pennies, nickels and quarters is 14.20$. So subtracting the full total 21.70 bu 14.20 gives us 7.50$. Which is 75 dimes.
Jack and Jill, trying to do math and chill, when they ran into a problem. They can't agree on what the answers should be, so now it's up to you to solve them.
In class, Jack thought as Jill she sought solve an absolute value... she removed the sign from her negative nine and said "the problem should be just about through".
But Jack he said, "no Jill you misread, the negative is on the outside". Still Jill didn't budge, so you be the judge, does this mean that the teacher lied?
Here's the problem Jack and Jill are trying to solve: -|9| = ?Jack thinks the answer is -9, because the negative is outside the absolute value signs. Jill thinks the answer is 9, because the teacher said absolute value is always positive.
Who is right and why? Explain your steps using sentences.
Answer:
-9
Step-by-step explanation:
the teacher was right
At the movie theatre, child admission is $6.50 and adult admission is $9.60. On Monday, 129 tickets were sold for a total sales of $1071.00. How many adult tickets were sold that day?
is the negative square root 400 rational or irrational
Answer:
Step-by-step explanation:
Rational
Answer:
Rational
Step-by-step explanation:
20 x 20 is 400 so 20 is a rational number
What is the value of x?
A
3x - 5
Enter your answer in the box.
4x - 30
В
B
X=
2x + 20
Answer: x = 25
Step-by-step explanation:
This appears to be an equilateral triangle. All angles are shown to be the same. This means all 3 sides will have the same length:
3x-5
4x-30
2x+20
are all equal to each other.
3x-5 = 4x-30
x = 25
----
3x-5 = 70
4x-30 = 70
2x+20 = 70
Write a two paragraph summary of what you are learning in your current math class.
Answer:
what are you even learning?
Answer:
what is your topic in math class..?
Solve the following system of equations graphically on the set of axes below.
y=x−2
y= - 1/5x-8
Please help I've never been more confused
Step-by-step explanation:
2.
Two pairs of corresponding angles
i. angle C angle D
ii. angle G angle F
Two pairs of alternate angles
i. angle B angle D
ii. angle H angle F
Two pairs of interior angles
i. angle C angle H
ii. angle D angle E
X+3y=24
Please solve super fast
Step-by-step explanation:
x+3y=24
3y/3=24/3
x+y=8
divide x to both side not to y
y=-x +8
volume of a cube is 343 cm cube . find the edge
Answer:
Edge: 7 cm
Step-by-step explanation:
Cubic root of 343 = 7
help with my math plz
Answer:
Step-by-step explanation:
The side is S= 5 cm , and the area is A= S² = 5²= 25
If the side would be doubled will be S= 5*2 = 10 cm, and the area A= 10²=100
Compare the area of S=5 to area of S=10 , 100 = 4*25
Conclusion:
If we double the side the area is 4 times greater.
what is the answer need help
Answer:
2
Step-by-step explanation:
x + 2y = 14
2y = -x + 14
y = -1/2 x + 7
m = -1/2
product of slopes is -1
so perpendicular slope is 2
Ya'll how do I graph this? I haven't graphed anything in 3 years
Use a coordinate plane to plot these points and connect them to make a quadrilateral. Then construct a similar quadrilateral (A’B’C’D’) on the same coordinate plane. You may use a ruler and protractor if necessary.
A (-2,3), B (1, 5), C (3, -1), (-1, 3)
There you go! Hope this helps! :)
Number 1. I don’t understand this question.
Answer:
2
Step-by-step explanation:
you're dividing 3/4 into the first, so it works because you're asking how many would fit into it, which is simply multiplication.
Identify the indicated sum for the geometric series.
S, for 3 - 6 + 12 – 24 + .....
Answer:
Here,
3
,
(
−
6
)
,
12
,
(
−
24
)
,
...
is the geometric sequn.
w
h
e
r
e
,
1
s
t
t
e
r
m
=
a
1
=
3
and
common ratio
r
=
−
6
3
=
12
−
6
=
−
24
12
=
−
2
and
S
9
=
?
⇒
n
=
9
We know that,
The sum of first n term of Geometric series is :
S
n
=
a
1
(
r
n
−
1
)
r
−
1
Putting ,
a
1
=
3
,
r
=
−
2
and
n
=
9
S
9
=
3
[
(
−
2
)
9
−
1
]
(
−
2
)
−
1
∴
S
9
=
3
[
−
512
−
1
]
−
3
⇒
S
9
=
3
(
−
513
)
−
3
⇒
S
9
=
513
Step-by-step explanation:
Answer:
Step-by-step explanation:
c.r. r=-6/3=-2
[tex]S_{n}=3\frac{(-2)^n-1}{-2-1} =-(-2)^n+1\\let~n\rightarrow \infty\\then S_{\infty} \rightarrow \infty~or~ -\infty[/tex]
multiply (2x+3) (-x -2)
Answer:
[tex]-2x^{2} -7x-6[/tex]
Step-by-step explanation:
(2x + 3) (-x - 2)
distribute first term, to the second term:
2x(-x) + 2x(-2) + 3(-x) + 3(-2)
multiply:
[tex](-2x^{2})[/tex] + (-4x) + (-3x) + (-6)
[tex]-2x^{2} -4x-3x-6[/tex]
combine the like terms:
[tex]-2x^{2}[/tex] - 4x - 3x - 6
-7x
[tex]-2x^{2}[/tex] - 7x - 6
final answer :
[tex]-2x^{2}[/tex] - 7x - 6
hope this helped !!
mark me brainliest :D
helppppppppppp i hv 5 mins
Answer: 342.5 miles
Step-by-step explanation:
Distance = Speed x Time
Speed(mph) Time(hr) Distance(miles)
55 x 3.5 = 192.5
60 x 2.4 = 150
Total Distance (miles) = 342.5 miles