Answer:
a
Step-by-step explanation:
A bag of cereal contains 12 blue marsh mellows, 16 red marshmellows , and 8 orange marsh mellows.If a marshmellow is picked from the bag at random, what is the probability that it is a red marsh mellow? Answers have been rounded to the tenths place.
Answer:
0.4 (decimal)
4/9 (fraction)
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.
Probability a red marshmallow is picked = number of red marshmallows in the bag / sum of marshmallows in the bag
sum of marshmallows in the bag = 12 + 16 + 8 = 36
Probability a red marshmallow is picked = 16/36
To transform to the simplest form. divide both the numerator and the denominator by 4
= 4/9
to convert to decimal, divide 4 by 9 = 0.4444
0.4 to the nearest tenth
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
A ball is launched from 8 feet off the ground at an initial vertical speed of 64 feet per second. It is aimed across a field at a target also 8 feet off the ground. The height of the ball at time, t, in seconds, is given by the function, h = –16t 2 + 64t + 8. It will take the ball
seconds to hit its target.
Answer:
a
Step-by-step explanation:
because
Answer:The equation that is given, h = –16t 2 + 64t + 8, represents the general formula of the motion which is h(t) = h0 + v0t - 16t² where h0 is the initial height (8 feet), v0 is the initial velocity (+64 ft/s) and t is time in seconds. To determine the time when the ball is at the maximum height, we need to determine the vertex of the parabola which is done as follows:
vertex = time at maximum height = -b/2a = -64 / 2(-16) = 2 seconds
The maximum height can be calculated by substituting the time we obtained to the function.
h = –16t 2 + 64t + 8
h = –16(2)^2 + 64(2) + 8 = 72 feet
Step-by-step explanation:
Mrs. Archer is doing a painting project with her art class. She uses a large jug with 28.5 ounces of blue paint to fill 6 smaller bottles. If she divides the paint evenly, how much paint will be in each bottle?
Answer:
4.75
Step-by-step explanation:
Divide 28.5 evenly with 6 because thee are 6 bottles. Then you receive 4.75
Hope this helps
PLEASE HELP. !!!!!!!!!
Answer:
Step-by-step explanation:
The formula for this is:
6(6 + x) = 3(3 + 25) and
6(6 + x) = 3(28) and
36 + 6x = 84 and
6x = 48 so
x = 8
Decide whether there is enough information to prove that △WXZ≅△YZX using the SAS Congruence Theorem.
A: yes; Because ZW≅XY, ∠W≅∠Y, and WX≅YZ, the two triangles are congruent by the SAS Congruence Theorem
B: yes; Because ZW≅XY, ∠W≅∠Y, and ZX≅XZ, the two triangles are congruent by the SAS Congruence Theorem.
C: no; There is one pair of congruent sides and one pair of congruent angles, but there is no other pair of congruent sides.
D: no; There are two pairs of congruent sides and one pair of congruent angles, but the angles are not the included angles.
Answer:
B
Step-by-step explanation:
Hello! Can someone please help me solve this? I need to know how to make the graph. Thanks!
Answer:
month us your x, and temp. is your y
type the graph into demos graph calculator.
hope this helps
5) A certain stock opens with a price of $0.59. Over the first three days the stock value increases at an average rate of 50% per day. If this trend continues, how much will the stock be worth in 12 days?
Answer:
In 12 days the stock will be worth $ 76.55.
Step-by-step explanation:
Given that a certain stock opens with a price of $ 0.59, and over the first three days the stock value increases at an average rate of 50% per day, to determine, if this trend continues, how much will the stock be worth in 12 days the following calculation must be performed:
Initial value x rate of increase ^ number of years = X
0.59 x 1.5 ^ 12 = X
0.59 x 129.74 = X
76.55 = X
Therefore, in 12 days the stock will be worth $ 76.55.
How many minutes will it take to bake 24 tortillas
Answer:
72 mins
Step-by-step explanation:
12 mins = 4 tortillas
1 tortilla = 3 mins
3x24=72
72 mins
Answer:
72 minutes
1 hour and 12 minutes
Step-by-step explanation:
[tex]\frac{4}{12}: \frac{24}{y}[/tex]
4 × y = 12 × 24
4y = 288
4y ÷ 4 = 288 ÷ 4
y = 72
The Angle of depression from the top of the flagpole to an object on the ground it's 33° if the object is 60 feet from the base of the cliff how tall is the flag pole
Answer:
The flag pole is 38.96 feet tall.
Step-by-step explanation:
The angle of depression from the top of the flagpole to an object on the ground is 33°.
The object is 60 feet from the base of the cliff.
We need to find the height of the flag pole.
Here, base, B = 60 feet
We know that,
[tex]\tan\theta=\dfrac{P}{B}[/tex]
Put all the values to find P.
[tex]P=B\times \tan\theta\\\\P=60\times \tan(33)\\\\P=38.96\ ft[/tex]
So, the flag pole is 38.96 feet tall.
calculate 7.5cm in km
Answer:
7.5e-5
Step-by-step explanation:
please help me answer this!!
Answer:
(x, y) = (10, 290)
Step-by-step explanation:
From the table
Total fees = fixed + variable
Fixed:
When number of times Ahmed mowed, x = 0
y = 40
When x = 2, y = 65
Rate of change = y2 - y1
= 65 - 40
= 25
y = 40 + 25x
Where,
y = total fees charged
40 = fixed fee
25x = variable fee
Total amount Ahmed will make for mowing 10 times
when x = 10
y = 40 + 25x
y = 40 + 25(10)
= 40 + 250
= 290
y = 290
(x, y) = (10, 290)
Math question. Genius, please answer correctly.
Answer:
16-31 20, 18,25,28,31,23,19,27,22,25,20 11
32-47 33,42,36,41,47 5
48-65 65,52,61,50 4
Step-by-step explanation:
Which of these mappings is a function? (PLEASEEE HELP MEEE)))
Step-by-step explanation:
creo..... que es la z ...
Explain how to solve this problem in your own words.
Answer:
3 m^8
Step-by-step explanation:
We know that a^b / a^c = a^( b-c) so using the quotient rule for exponents
3 * m^( 7 - -1)
3 *m^(8)
x=6 is a solution to the inequalityx−5≤ 10
Answer:
Yes!
Step-by-step explanation:
Please answer :'<
What is the volume of this prism
a. 63.0 cubic units
b. 31.5 cubic units
c. 11.75 cubic units
d. 56.3 cubic units
Answer:
D. 56.3 cubic units
Step-by-step explanation:
To find the volume of a rectangular prism you use the formula v=l*w*h which means you multiply 5*3*3.75 to find your answer of 56.3 cubic units.
[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]
we know that
[tex]\sf{volume ~of~prism =l.w.h }[/tex]
According to the question,.
Volume=5×3×3.35Volume =15×3.35Volume =56.3 cubic unitis 69,370 divisible by 8,4,6, or 10
Answer: 69370 is divisible by 10 only
Answer:
10
Step-by-step explanation:
if u divide by 8,4,6 you get decimal answer
Please give me the answer and show me how you solved it
on number 5 question the answer is 4,5,9
Step-by-step explanation:
it is because a right triangle is composed of 3 different sides (hypothenus, opposite angle and adjacent angle)
Answer:
5) B. 10, 24, 26
6) k = 8.5
Step-by-step explanation:
5) The a and b in context of the triangle have to be greater than the hypotenuse. It can’t equal the hypotenuse. 10 + 24 = 34, 34 > 26 Therefore our answer.
6) Our equation: c = sqrt of a^2 + b^2
C = sqrt of 3^2 + 8^2
*A= 3 B = 8*
C = sqrt of 9 + 64
C = square root of 73
C = 8.54 or 8.5
Giving our answer:
You could always check by listing the values of each side:
A=3 B=8 C=8.5
3, 8, 8.5
And up A and B: 3 + 8 = 11
11 > 8.5
Proving this is a right triangle!
Btw sqrt means square root! ;)
Hope this helps, good luck! :)
A linear function,f, has a slope of -2. F(1) =2 and f(2)=t. Find t
Answer:
t = 0
Step-by-step explanation:
[tex]slope = \frac{f(2) - f(1)}{2 - 1}[/tex]
[tex]-2 = \frac{t - 2}{1}\\\\-2 = t - 2\\\\t = 0[/tex]
What is the volume of the cylinder below? 6 7 4
A. 96pie units³
B. 168pie units³
C. 84pie units³
D. 112pie units³
Answer:
I believe the answer is A
Step-by-step explanation:
What is the solution to the system of equations
Answer:
Y = 2
X = 3
Step-by-step explanation:
Substitution:
6(4y-5) - y = 16
24y-30-y=16
23y=46
Y = 2
So then:
6x-2 = 16
6x = 18
X = 3
find the first derivative of the following:
f(x)=x²
Answer:
[tex] \displaystyle f'(x) = 2 {x} [/tex]
Step-by-step explanation:
we would like to differentiate the following:
[tex] \displaystyle f(x) = {x}^{2} [/tex]
take derivative In both sides:
[tex] \displaystyle f'(x) = \frac{d}{dx} {x}^{2} [/tex]
use exponent derivation rule:
[tex] \displaystyle f'(x) = 2 {x}^{2 - 1} [/tex]
simplify substraction:
[tex] \displaystyle f'(x) = 2 {x}^{1} [/tex]
by law of exponent we obtain:
[tex] \displaystyle f'(x) = 2 {x} [/tex]
and we are done!
Answer:
f'(x) = 2x
Step-by-step explanation:
Using the power rule
[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex]
f(x) = x²
f'(x) = 2.1 [tex]x^{2-1}[/tex] = 2x
what is the answer when you round 4186.666666666667 to nearst hundredth.
answer fast please in hurry needed. dont give explanation exact answer beeded.
A company gives a bonus to two salespeople, Miss Xu and Ms Trent, in the ratio of the
sales they make in January.
Miss Xu made sales of £24 000 in January.
Ms Trent made sales of £30 000 in January.
What is the probability of rolling a number less than 4 on a number cube?
Step-by-step explanation:
3/6 is the answer to your question
Find the value of x in the equation below. 1=x -18
Answer:
x = 19
Step-by-step explanation:
1 = x - 18
1 + 18 = x
x = 19
Select the correct answer.
How would you write this expression as a sum or difference?
[tex]log_{3} (^{5\sqrt{x}} X y )[/tex]
Answer:
[tex]\log_{3} ({5\sqrt{x}} * y ) = \log_{3}({5) + \log_{3}(\sqrt{x}) +\log_{3}( y )[/tex]
Step-by-step explanation:
Given
[tex]\log_{3} ({5\sqrt{x}} * y )[/tex]
Required
Write as sum or difference
Using addition law of logarithm, the equation becomes:
[tex]\log_{3} ({5\sqrt{x}} * y ) = \log_{3}({5\sqrt{x}) +\log_{3}( y )[/tex]
Expand
[tex]\log_{3} ({5\sqrt{x}} * y ) = \log_{3}({5 * \sqrt{x}) +\log_{3}( y )[/tex]
Apply addition law
[tex]\log_{3} ({5\sqrt{x}} * y ) = \log_{3}({5) + \log_{3}(\sqrt{x}) +\log_{3}( y )[/tex]
Use substitution to solve the
following system of equations.
2x + 4y = 12 AND x=y - 3
Answer:
The solution is (0, 3)
Step-by-step explanation:
First, reduce 2x + 4y = 12 to x + 2y = 6, for easier calculations.
Next, substitute y - 3 for x in the other equation:
y - 3 + 2y = 6, or
3y = 9
Then y = 3. Since x = y - 3 in general, x = 3 - 3 = 0 when y = 3.
The solution is (0, 3)
find the measure of angle c
Answer:
add 7+5 and 3+9 and then subtract both answers together and the answer you get should be the answer if the degree
A motorboat takes five hours to travel two hundred miles going upstream. The return trip takes four hours going down stream. What is the rate of the boat in Stillwater and what is the rate of the current?
Answer: [tex]45\ mph[/tex], [tex]5\ mph[/tex]
Step-by-step explanation:
Given
A motorboat takes 5 hours to travel 200 miles upstream and 4 hours to go downstream
Suppose the speed of motorboat in still water and rate of current be x and y respectively.
during upstream
[tex]\Rightarrow 5=\dfrac{200}{x-y}\\\\\Rightarrow x-y=40\quad \ldots(i)[/tex]
During downstream
[tex]\Rightarrow 4=\dfrac{200}{x+y}\\\\\Rightarrow x+y=50\quad \ldots(ii)[/tex]
Add (i) and (ii) we get
[tex]\Rightarrow 2x=90\\\Rightarrow x=45\ mph[/tex]
[tex]\therefore y=5\ mph[/tex]
Thus, the speed of boat in still water is [tex]45\ mph[/tex] and rate of current is [tex]5\ mph[/tex]
