16,500 pounds
25,000 ounces
1,000 pounds 200 ounces
7 tons 200 pounds 100 ounces
From these from least to greatest Plz.
3. In a game, if you roll a 6 on a 6-sided number cube, you lose a turn.
(Part a) What is the probability that you roll a 6? Explain your reasoning.
(Part b) What is the probability that you either roll a 6 or do not roll a 6? Explain your reasoning.
(Part c) What is the probability that you don’t roll a 6? Explain your reasoning.
EXPLAIN AND NO ONE SENTENCE ANSWER
A moving company had one sixth of a ton weight to move across town. If they wanted to split it equally amongst 4 trips, how much weight would they have on each trip
Answer:
And.Each Trip will have to take 41.667kilograms
Step-by-step explanation:
1/6×1000÷4=41.6666667
The probability of winning a game is 25% . How many times should you expect to win if you play 36 times ?
1. 3 times
2. 7 times
3. 9 times
4. 11 times
Garrett must inspect a bridge that goes over a river. He begins 18 feet above water level to inspect the lighting, descends 32 feet to inspect the base of the bridge underwater, then descends another 4 feet to check on the concrete anchoring the base. Which best represents Garrett’s position with respect to the water level?
–54 feet
–30 feet
–18 feet
–10 feet
Answer: –18 feet
Step-by-step explanation:
Given: Garrett begins 18 feet above water level to inspect the lighting, descends 32 feet to inspect the base of the bridge underwater, then descends another 4 feet to check on the concrete anchoring the base.
Then using integers, the expression which represents Garrett’s position with respect to the water level is given by :-
[tex]+18-32-4=-18[/tex]
Hence, Garrett’s position with respect to the water level =-18 feet.
what is the value of -36/5 (10/9-5/6)
2. What is similar about the primary structure of each protein?
To of the angles in a triangle measure 57 and 95 degree. What is the measure of the third angle?
57+95=152
180-152=28
56+95+28=180
Third angle =28
PLEASE HELP WITH #10
the rate of 4 shirts for $32.00
Which fraction is multiple of 1/10
Final answer:
A multiple of 1/10 is any fraction obtained by multiplying 1/10 by an integer. For example, 1/10 multiplied by 2 is 2/10, which simplifies to 1/5. Dividing by powers of 10 shifts the decimal point left, making 1.9436 divided by 1,000 equal to 0.0019436.
Explanation:
In mathematics, when identifying a multiple of a fraction, you look for fractions that can be created by multiplying the original fraction by an integer. In the case of 1/10, a multiple would be any fraction where 1/10 is multiplied by a whole number.
For instance:
1/10 multiplied by 2 is 2/10, which simplifies to 1/5 - thus 1/5 is a multiple of 1/10.1/10 multiplied by 3 is 3/10 - hence, 3/10 is a multiple of 1/10.Multiplying 1.9436 by powers of 10 shifts the decimal point accordingly:
1.9436 × 10 = 19.4361.9436 × 100 = 194.361.9436 × 1,000 = 1,943.6Conversely, dividing by powers of 10 will shift the decimal point to the left, making the number smaller:
1.9436 ÷ 10 = 0.194361.9436 ÷ 100 = 0.0194361.9436 ÷ 1,000 = 0.0019436The fraction 15 can be simplified by dividing both the numerator and the denominator by the greatest common factor, in this case, 15, yielding a value of 1.
ken and leah. are trying to solve a science homework question. They need to find out how much a rock that weights 4 pounds on earth would weight on Venus. They know they can multiply the amount the rock weights on earth by 0.91 to find its weight on Venus. Select the two partial products ken and leah would need to add to find the product of 4 and 0.91.
The Weight on Venus is 3.64 pounds
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
They need to find out how much a rock that weights 4 pounds on earth would weight on Venus.
So, the Weight on Venus
= 4 x 0.91
= 4x 0.9+ 4 x 0.01
= 3.6+ 0.04
= 3.64
Hence, the Weight on Venus is 3.64 pounds
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the height y (in feet) of a ball thrown by a child is
[tex]y = \frac{1}{16} {x}^{2} + 4x + 3[/tex]
where x is the horizontal distance in feet from the point at which the ball is thrown
a).how high is the ball when it leaves the child's hand
b).what is the maximum high of the ball
c).how far from the child does the ball strike the ground
a. The height of the ball when it leaves the child's hand is 3 feet, as [tex]\(x = 0.[/tex]
b. The maximum height of the ball is 195 feet, calculated by finding the vertex of the parabolic function.
c. The distance from the child where the ball strikes the ground is approximately 47.24 feet, using the quadratic formula.
Given the equation representing the height y of a ball as a function of the horizontal distance x :
[tex]\[y = \frac{1}{16} x^2 + 4x + 3\][/tex]
Part (a): Height of the ball when it leaves the child's hand
The ball leaves the child's hand when x = 0.
Substituting x = 0 into the equation:
[tex]\[y = \frac{1}{16} \cdot 0^2 + 4 \cdot 0 + 3 = 3\][/tex]
Thus, the height of the ball when it leaves the child's hand is 3 feet.
Part (b): Maximum height of the ball
The given function represents a parabola, and since [tex]\(a = \frac{1}{16}[/tex] is positive, it opens upward.
To find the maximum height, we need the x-coordinate of the vertex, which can be found using:
[tex]\[x = -\frac{b}{2a} = -\frac{4}{2 \cdot \frac{1}{16}} = -\frac{4}{\frac{1}{8}} = -32\][/tex]
However, the correct derivation is:
[tex]\[x = -\frac{4}{2 \cdot \frac{1}{16}} = -\frac{4}{\frac{1}{8}} = -32 \cdot 8 = -64\][/tex]
But the correct value for x should be:
[tex]\[x = -\frac{4}{2 \times \frac{1}{16}} = -4 \times 8 = -32[/tex]
Considering this, let's correct the previous explanation and use the correct approach:
1. Find the x-coordinate of the vertex:
[tex]\[x = -\frac{4}{2 \times \frac{1}{16}} = -8 = 32\][/tex]
With the x-coordinate of the vertex, find the maximum height (the y-coordinate of the vertex):
[tex]\[y = \frac{1}{16} \cdot 32^2 + 4 \cdot 32 + 3 = \frac{1024}{16} + 128 + 3 = 64 + 128 + 3 = 195\][/tex]
Thus, the maximum height is 195 feet
Part (c): How far from the child does the ball strike the ground?
To find out when the ball strikes the ground, we need to set \(y = 0\) and solve for \(x\):
[tex]\[0 = \frac{1}{16} x^2 + 4x + 3\][/tex]
Using the quadratic formula, where[tex]\(a = \frac{1}{16}\), \(b = 4\), and \(c = 3\):[/tex]
[tex]\[x = \frac{-4 \pm \sqrt{4^2 - 4 \cdot \frac{1}{16} \cdot 3}}{2 \cdot \frac{1}{16}} = \frac{-4 \pm \sqrt{16 - \frac{12}{16}}}{\frac{1}{8}} \][/tex]
To find the x-coordinates where the ball strikes the ground, you can set (y = 0) and solve for (x):
[tex]\[0 = \frac{1}{16} x^2 + 4x + 3\][/tex]
Using the quadratic formula, where [tex]\(a = \frac{1}{16}\), \(b = 4\), and \(c = 3\) :[/tex]
[tex]\[x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\][/tex]
Substitute the given values of a ,b , and c into the quadratic formula:
Calculate [tex]\(b^2 - 4ac\) :[/tex]
- [tex]\(b^2 = 4^2 = 16\),[/tex]
- [tex]\(4 \cdot \frac{1}{16} \cdot 3 = \frac{12}{16} = \frac{3}{4}\),[/tex]
- So [tex]\(b^2 - 4ac = 16 - \frac{3}{4} = \frac{64}{4} - \frac{3}{4} = \frac{61}{4}\).[/tex]
Calculate the roots :
- The value for [tex]\(a\) is \(\frac{1}{16}\), so \(2a = \frac{1}{8}\),[/tex]
- Now we can find \(x\):
[tex]\[ x = \frac{-4 \pm \sqrt{16 - \frac{3}{4}}}{\frac{1}{8}} = \frac{-4 \pm \sqrt{61/4}}{1/8} = -32 \pm 2 \sqrt{61}. \][/tex]
Simplifying the roots :
- The roots for x are:
[tex]\[ x_1 = -32 + 2 \sqrt{61}, \, x_2 = -32 - 2 \sqrt{61}. \][/tex]
However, we consider only the positive root, as it represents the distance from the point where the ball is thrown to where it lands.
Thus, the value of [tex]\(x_1\)[/tex] is:
[tex]\[x = -32 + 2 \sqrt{61} \approx -32 + 15.6 = -16 + 16 \cdot \sqrt{61} \approx 47.24\][/tex]
Thus, the correct answer with [tex]\(x\approx 47.24\).[/tex]
The complete question is : The height y (in feet) of a ball thrown by a child is
[tex]y = (1)/(16) {x}^{(2)}+ 4x + 3[/tex]
where x is the horizontal distance in feet from the point at which the ball is thrown
a).how high is the ball when it leaves the child's hand ?
b).what is the maximum high of the ball ?
c).how far from the child does the ball strike the ground ?
The answer provides step-by-step explanations for finding the initial height, maximum height, and horizontal distance at which the ball strikes the ground, given the equation of the ball's height as a function of the horizontal distance.
To find the height of the ball when it leaves the child's hand (a), we need to determine the value of y when x is 0. Substituting x = 0 into the equation, we get:
y = -1/14(0)² + 2(0) + 3
y = 3 feet
Therefore, the ball is 3 feet high when it leaves the child's hand.
let's find the maximum height of the ball (b), we need to find the vertex of the quadratic equation. The vertex can be found using the formula x = -b/2a, where a, b, and c are the coefficients of the quadratic equation. In this case, a = -1/14, b = 2, and c = 3. Substituting these values into the formula, we get:
x = -2 / (2 * (-1/14))
x = 7 feet
Substituting x = 7 into the equation, we can find the maximum height:
y = -1/14(7)² + 2(7) + 3
y = 10.5 feet
Therefore, the maximum height of the ball is 10.5 feet.
let's find how far from the child the ball strikes the ground (c), we need to find the x-coordinate when y = 0. Setting y = 0 in the equation, we get:
0 = -1/14x² + 2x + 3
Solving this quadratic equation,
hence we find two possible values for x: x = -7 and x = 28. Since the ball is thrown in a positive direction, the ball strikes the ground 28 feet away from the child.
What is the size of the triangle angles?
How many natural numbers are from 17 to 28?
true or false the area of a regular hexagon can be found by breaking the hexagon into 6 congruent triangles and then taking the sum of their areas
Suppose Tommy walks from his home at (0, 0) to the mall at (0, 8), and then walks to a movie theater at (5, 8). After leaving the theater Tommy walks to the store at (5, 0) before returning home. If each grid square represents one block, how many blocks does he walk?
raj is visiting the united states and needs to convert 2000 rupees to us dollars
Answer:31.88
Step-by-step explanation:
Section 208 of nassau veterans Memorial Coliseum has 17 rows. The first row has 13 seats in it. If you add two seats to the previous row for each row in the section, how many seats are in row 15? How many seats total are there in the section?
LAST QUESTION! Please help! Please
25 POINTS SOMEONE HELP ME OUT WITH THIS PLEASEEEE BRAINLIEST ANSWER
Joanna has a total of 7 rolls of coins worth $23. She has rolls of dimes worth $5 each, and rolls of nickel worth $2. How many rolls of each kind does she have?
There is 4 roll of coins of nickel and 3 rolls of coins of dimes.
Given that,
Joanna has a total of 7 rolls of coins worth $23.
She has rolls of dimes worth $5 each and rolls of nickel worth $2.
We have to determine,
How many rolls of each kind does she have?
According to the question,
Let the number of coins of dimes be x
And the number of coins of nickel be y.
Then,
The number of coins of dimes + Number of coins of nickel = Total number of coins.
[tex]\rm x+ y =7[/tex]
And the total price of the coins is equal to the price of each coin of dimes and nickel.
[tex]\rm 5x+2y=23[/tex]
Solving both the equation,
From equation 1,
[tex]\rm x+ y = 7\\\\x = 7-y[/tex]
Substitute the value of x in equation 2,
[tex]\rm 5x+2y = 23\\\\5(7-y) +2y = 23\\\\35-5y+2y=23\\\\-3y = 23-35\\\\-3y = -12\\\\y = \dfrac{-12}{-3}\\\\y = 4[/tex]
Substitute the value of y in equation 1,
[tex]\rm x+y = 7\\\\x+4 = 7\\\\x = 7-4\\\\x =3[/tex]
Hence, there is 4 roll of coins of nickel and 3 rolls of coins of dimes.
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please help me how do u write in y intercept form a line that goes through (0,2) , (4,1) with a slope of -2??
A one-tablespoon serving of olive oil contains 120 calories. The label on a bottle of olive oil states that it contains 66 servings. How many calories are in the whole bottle of olive oil?
The whole bottle of olive oil contains 7920 calories.
To find the total number of calories in the entire bottle of olive oil, one must multiply the number of calories in one serving by the total number of servings in the bottle.
Given that one tablespoon serving of olive oil contains 120 calories, and the bottle contains 66 servings, the calculation is as follows:
Total calories in the bottle = Calories per serving [tex]\times[/tex] Number of servings
Total calories in the bottle = 120 calories/serving [tex]\times[/tex] 66 servings
Total calories in the bottle = 7920 calories
Therefore, the whole bottle of olive oil contains 7920 calories.
Solve this system by graphing: y=3/2x-1 and x=-2
A banquet has charges $750 to feed a large party. Each person must also pay $3.50 for a tip. If divided equally, how many people would need to participate for the cost to be $15 per person
A system of equations can be solved by elimination in table
which of the following values are zeroes for the function below? select all that apply. g(x)=(x^2+4x-12)(x-3)
answer and explanation:
g(x)=(x^2+4x-12)(x-3)
(x+6)(x-2)(x-3)
x+6=0
-6 -6
x= -6
~~~~~~~~~~~~~~~~~~~
x-2=0
+2 +2
x=2
~~~~~~~~~~~~~~~~~~~
x-3=0
+3 +3
x=3
~~~~~~~~~~
answer: -6, 2, 3.
When two computers are working together, they can finish updating software in 9 minutes. How long would they take individually to update the software if one computer takes 24 minutes longer than the other?
It would take the computers 12 minutes and 36 minutes respectively to individually update the software
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let t represent the time it takes the fastest computer. Hence:
[tex](\frac{1}{t}+\frac{1}{t+24})9=1\\ \\ t=12 \ minutes[/tex]
It would take the computers 12 minutes and 36 minutes (12 + 24) respectively to individually update the software
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