Answer:
256Step-by-step explanation:
Read the answer carefully and then you'll know hey i need to multiply 8 times 32.
And what do you get...... 256Modeling the situation with a quadratic equation, it is found that:
The maximum height of the ball is of 60.2 feet.The ball hits the ground after 3.39 seconds.Considering the gravity, the height of the ball, after t seconds, is given by the following quadratic equation.
[tex]h(t) = -4.9t^2 + v_0t + h_0[/tex]
In which:
[tex]v_0[/tex] is the initial velocity.[tex]h_0[/tex] is the initial height.In this problem:
Height of 8 feet, thus [tex]h_0 = 8[/tex].Initial velocity of 32 feet per second, [tex]v_0 = 32[/tex]The equation is:
[tex]h(t) = -4.9t^2 + 32t + 8[/tex]
Which is a quadratic equation with [tex]a = -4.9, b = 32, c = 8[/tex].
The maximum height is the output of the vertex, which is:
[tex]h_{MAX} = -\frac{\Delta}{4a} = -\frac{b^2 - 4ac}{4a}[/tex]
Then, with the coefficients of this question:
[tex]h_{MAX} = -\frac{32^2 - 4(-4.9)(8)}{4(-4.9)} = 60.2[/tex]
The maximum height of the ball is of 60.2 feet.
It hits the ground at t for which [tex]h(t) = 0[/tex], thus:
[tex]\Delta = b^2 - 4ac = 32^2 - 4(-4.9)(8) = 1180.8[/tex]
[tex]t_{1} = \frac{-32 + \sqrt{1180.8}}{2(-4.9)} = -0.12[/tex]
[tex]t_{2} = \frac{-32 - \sqrt{1180.8}}{2(-4.9)} = 3.39[/tex]
We want the positive value, so:
The ball hits the ground after 3.39 seconds.
A similar problem is given at https://brainly.com/question/24626341
How do you find a slope and the Y intercept
Answer:
Step-by-step explanation:
Typically in a line the y intercept is the point where your graph crosses the y-axis, and the x value is 0 so (0,b) is the y-intercept where y-intercept is b
The slope can be found by finding the rate of change, so the change in y / the change in x
You can also calculate the slope with 2 points so (x1, y1) (x2, y2)
you take the y values and subtract them, then divide by the x values like this:
y2 - y1 / x2 - x1
If a line is going up to the right in Quadrant I then the slope is positive, if the slope of the line goes down in Quadrant IV then the line slope is negative
Slopes of horizontal lines are zero, the slope of a vertical line is undefined
We use the letter m to stand for the slope
Geometry please help-
Find the area of the composite figure.
Answer:
Hope that answers your question
Simplify each ratio to lowest terms.
Answer:
This is your work so i cant do it but I can give you a hint divide both the numerator and deomonator to get simplified form
Step-by-step explanation:
Answer:
ericyikaimiao said she/he is right
The heights of the mountains in a mountain range are less than 20,000 feet. Write an inequality to represent the heights of the mountains, h, in this mountain range.
Answer:
D, far apart from each other.
Step-by-step explanation:
The inequality that represent the heights of the mountains in the given range is h < 20,000
What is an inequality?An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.
Given that, the heights of the mountains in a mountain range are less than 20,000 feet.
We need to write an inequality to represent the height of the mountain ranges,
Since, the height is less than 20,000,
Therefore, the inequality =
h < 20,000
Hence, the inequality that represent the heights of the mountains in the given range is h < 20,000
Learn more about inequality click;
https://brainly.com/question/30231190
#SPJ3
What is the nth term of the sequence 1,4,9,16
Answer:
[tex]n^{2}[/tex]
Step-by-step explanation:
1, 4, 9, 16
1=[tex]1^{2}[/tex]
4=[tex]2^{2}[/tex]
9=[tex]3^{2}[/tex]
16=[tex]4^{2}[/tex]
so, the fifth term is [tex]5^{2}[/tex] = 25
What type of triangle is 5, 2, 4?
4
Question
YA
xy
GRAPH PLEASE !!! HELP
The Beta Club is sponsoring a lollipop sale. If their goal is to raise at least $228, how many lollipops must they sell at $1.50
each in order to meet that goal? Solve the inequality.
Answer:
I believe they would have to sell 152 lollipops
Step-by-step explanation:
Please find the measure of angle PQS
Answer:
<PTR+<RTS=180 LINEAR PAIR
<PTR=180-20=160°
Step-by-step explanation:
IN QUADRILATERAL PQRT
<P+<Q+<R+<T=360 SUM OF INTERIOR ANGLE OF QUADRILATERAL IS 360
85+<Q+70+160=360
<Q=360-315=45°
angle PQS=45°
George is required to produce 500 frames for an art gallery. He spent $100 on the wood required for all these frames. He also spent $50 in polishing all the final frames. He rented two floors of an art gallery for about $700. What selling price should George charge the art gallery if he wants to break even?
Answer:
George should charge 1.70$ for each frame to break-even.
Step-by-step explanation:
Variable cost for the frames:
Wood + polishing = $100 + $50 = $150
Variable cost per frame would be:
$150/ 500 = $0.30
The fixed cost of the operation is $700.
George has to make 500 frames.
Fixed cost / (Selling price per unit – variable cost per unit) = 500
$700 / (Selling price per unit - $0.30) = 500
700 = 500 (Selling price per unit – 0.30)
700 = 500 * Selling price – 500 * 0.3
700 = 500 * Selling price – 150
(700 + 150) / 500 = Selling price
850 / 500 = 1.7
Select the relation that IS a function.
a. {(-6, -5), (3, 2), (10, 8), (3, 3)}
b. {(-2, -1), (5, -1), (16, 3), (-3, -9)}
c. {(5, 10), (-3, 10), (-3, -10), (4, 7)}
d. {(21, 11), (21, 10), (21, 9), (21, 8)}
Answer:
B is the function.
Step-by-step explanation:
since there is one y value for every x value we know that is a function
what must be multiplied to 3x + 7y to get 9x² - 49y²?
help.
Answer:
square the whole equation
Step-by-step explanation:
so, it will change from (3x + 7y)² to 9x² - 49y²
I hope this helps a little bit.
Answer:
(3x - 7y)
Step-by-step explanation:
we know that
.. (a + b) (a - b) = (a^2 - b^2)
=> (a + b) = (3x + 7y)
=>. (a^2 - b^2) = (9x^2 - 49y^2)
=> so, (a - b).= (3x - 7y)
hope it helps
Find the value of x. Round to the nearest degree.
9514 1404 393
Answer:
x° = 42°
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the useful relation ...
Cos = Adjacent/Hypotenuse
cos(x°) = 4.0/5.4
x° = arccos(4.0/5.4) ≈ 42.21°
The value of x is about 42.
r/19 > -1
please help solve for R
Answer:
Step-by-step explanation:
[tex]\frac{r}{19}>-1[/tex]
Multiply both sides by 19
[tex]\frac{r}{19}*19>-1*19 \\\\r > -19[/tex]
What is the equation of the line that passes through the following two points (5, 7) and (-2, 7)?
Answer:
y=7
Step-by-step explanation:
please help due in one hour
a sneaker with a mark price of $1000 was offered at a discount of 8% for paying cash if someone paid cash for the sneakers how much did they pay
Answer:
920
Step-by-step explanation:
8% of 1000 is 80
1000 - 80 = 920
Find the exact values of the remaining five trigonometric functions of o satisfying the given conditions.
cos θ=3/5, tan θ < 0
First, tan(θ) = sin(θ) / cos(θ), so if cos(θ) = 3/5 > 0 and tan(θ) < 0, then it follows that sin(θ) < 0.
Recall the Pythagorean identity:
sin²(θ) + cos²(θ) = 1
Then
sin(θ) = -√(1 - cos²(θ)) = -4/5
and so
tan(θ) = (-4/5) / (3/5) = -4/3
The remaining trig ratios are just reciprocals of the ones found already:
sec(θ) = 1/cos(θ) = 5/3
csc(θ) = 1/sin(θ) = -5/4
cot(θ) = 1/tan(θ) = -3/4
Brian buys a computer for £900.
It depreciates at a rate of 2% per year.
How much will it be worth in 2 years?
Give your answer to the nearest penny where appropriate.
Financial advisors recommend putting 20% of your earnings into savings. If a
person saves $700, how much did they earn?
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Ratio and Percentage.
Let the total salary be x, so we get as,
20 % of x = $700
hence, x would be,
(20/100)*x = 700
===> x = 70000/20
===> x = $3500
===> hence the total earning of them is $3500
URGENT !!!!!! Please answer correctly !!!!! Will be marking Brianliest !!!!!!!!!!!!!
-6n-2n=16
This isn't urgent
Answer:
n = -2
Step-by-step explanation:
[tex] - 6n - 2n = 16[/tex]
➡️ [tex]( - 6 - 2)n = - 8n[/tex]
➡️ [tex] - 8n \div ( - 8) = 16 \div ( - 8)[/tex]
➡️ [tex]n = 16 \div ( - 8)[/tex]
➡️ [tex]n = - 16 \div 8[/tex]
➡️ [tex]n = - 2[/tex]
The measures of the angles of Triangular garden are in the ratio 2:5:5. What are the measures of the angles? Classify the triangle based on its sides
Answer:
We know that the sum of all the interior angles of a triangle is always equal to 180°.
And we know that the angles are in a ratio of:
2:5:5
So if we have an angle (unknown) θ, the angles of this triangle will be written as:
2*θ
5*θ
5*θ
Now remember that the sum of the 3 angles is equal to 180°, this leads to:
2*θ + 5*θ + 5*θ = 180°
Now we can solve this for θ
(2 + 5 + 5)*θ = 180°
12*θ = 180°
θ = 180°/12 = 15°
This means that the angles of this triangle are:
2*θ = 2*15° = 30°
5*θ = 5*15° = 75°
5*θ = 5*15° = 75°
Now we want to classify this triangle based on this, we have two equal angles, which implies that we must have two equal sides and another different side.
Then this is an isosceles triangle.
that’s the problem and the answer i just need to know how to show the work. pls help me
9514 1404 393
Explanation:
The work can be done in your head, so there's really nothing to show.
If you want to go into painful detail, you can do this ...
[tex](2\sqrt{3x})(3\sqrt{6x^2})=(2\sqrt{3x})(3x\sqrt{6})=6x\sqrt{3\cdot6x}\\\\=6x\sqrt{3^2\cdot2x}=6x\cdot3\sqrt{2x}=\boxed{18x\sqrt{2x}}[/tex]
There may be some other intermediate steps you can show, or you can combine steps to the extent you think is appropriate.
Taryn collected data for the rain collected over a number of days in various cities. Which of the data sets represents a scatterplot with a line of best fit that BEST displays a relationship where, as the number of
days increases, the amount of rain collected remains constant?
A. (5, 1), (2,7), (3, 6), (4,4), (1,8), (6,
0)
B.. (1,6), (5, 6), (3,5), (4, 5), (6,5)
C. (3, 1), (5, 5), (1, 6), (6, 2), (2, 7)
D. (2,3), (6,8), (5, 8), (1, 1), (3,5),(4, 6)
You are standing 10 feet away from a tree. There is a cat up in the tree. Your eyes make a 48 degree angle to look up at the cat. How high is the cat?
Answer:
11.1 feet
Step-by-step explanation:
person = B cat = C
C
/ |
/ | x
B /_48]________ ______|
|____10ft____|
since we know the adjacent side but want the opposite side, we can use tan(angle)=opp/adj to solve. (make sure to be in degrees lol)
tangent ( 48) = x/10
10 * tan(48) = x
11.1 = x
The cat is 11.1 feet high.
what is the percent / degree of X ?
Answer: 65
Step-by-step explanation:
All those angles added up have to equal 360 degrees.
The little square on the angle to the left of x means that it's a right angle, or 90 degrees.
360
- 180
= 180 <--- this is the bottom half,
180
- 90 <--- the right angle on the left
= 90
90
-25
= 65 <--- that's x
the slope of a line parallel to the line who is the equation 2x + y = 6
Answer:
-2
Step-by-step explanation:
Note that slope-intercept form looks like: y = mx + b
In this case, isolate the y. Note the equal sign, what you do to one side, you do to the other. Subtract 2x from both sides:
2x (-2x) + y = 6 (-2x)
y = -2x + 6
Note in the slope-intercept form: y = mx + b
y = y
m = slope
x = x
b = y-intercept
In this case, your slope is -2. All lines parallel to the given equation will also have a slope of-2.
~
Jason collected 40 postcards. Of these, 16 were from foreign countries. What percent were from foreign countries?
%
Answer:
40%
Step-by-step explanation:
Total no. of postcards = 40
No. of postcards from foreign countries = 16
Percentage of postcards from foreign countries = (16/40)*100
=40%
someone help please!
Answer:
BC ≈ 14.7 m
Step-by-step explanation:
Using the Sine rule in Δ ABC
[tex]\frac{AB}{sinC}[/tex] = [tex]\frac{BC}{sinA}[/tex]
To find ∠ A subtract the 2 given angles from 180°
∠ A = 180° - (90 + 28)° = 180° - 118° = 62°
Then
[tex]\frac{7.8}{sin28}[/tex] = [tex]\frac{BC}{sin62}[/tex] ( cross- multiply )
BC × sin28° = 7.8 × sin62° ( divide both sides by sin28° )
BC = [tex]\frac{7.8sin62}{sin28}[/tex] ≈ 14.7 m ( to 3 significant figures )