Answer:
0.032
Step-by-step explanation:
Divide each term by 0.032 and simplify
Answer:
120 bottles
Step-by-step explanation:
3.84 ounces in bottles
0.032 in each bottle
3.84/0.032 = 120 bottles
Can someone please help and explain I will mark brainliest
Answer:
I really don't know I am sorry.
Step-by-step explanation:
Answer:
i = integers greater than n
n < i
n = smallest integer
a = 2nd largest integer
b = 3rd largest integer
c = largest integer
d = sum of all the integers
n + a + b + c = 2174
Step-by-step explanation:
A square pyramid has a base edge of 1 meter. The height of each triangular face is 1 meter. What is the pyramid's surface area?
Answer:
A square pyramid has 5 faces: 1 square base and 4 triangular faces.
The area of the base is:
A = s^2
where s is the length of the base edge.
In this case, s = 1 m, so:
A = 1^2 = 1 m^2
The area of each triangular face is:
A = 1/2 * b * h
where b is the base of the triangle (which is equal to the length of one side of the square base) and h is the height of the triangle (which is given as 1 m).
In this case, b = 1 m and h = 1 m, so:
A = 1/2 * 1 * 1 = 0.5 m^2
The total surface area of the pyramid is the sum of the area of the base and the area of the four triangular faces:
SA = A_base + 4 * A_triangles
SA = 1 + 4(0.5)
SA = 1 + 2
SA = 3 m^2
Therefore, the surface area of the pyramid is 3 square meters.
4.3.4 Practice: Frequency Tables
210 students were asked whether they want to go to a water park or a roller skating rink for a class party.
50 students are girls who want to go to the water park.
45 students are girls who want to go skating.
60 students are boys who want to go to the water park.
Please look at the screenshot
Answer the questions to analyze the data.
1. Use the given information to fill in the two-way table. (1 point)
2. How many boys want to go skating? (1 point)
3. To the nearest hundredth, what is the relative frequency of boys who want to go to the water park? (2 points)
4. The probability that a student is in a category can be approximated by the relative frequency. To the nearest hundredth, what is the probability that a randomly selected student is a girl who wants to go skating? (2 points)
5. Are there more boy students or girl students? Do you read this information from the joint frequencies or the marginal frequencies? (2 points)
6. Which destination is more popular, the skating rink or the water park? (2 points)
Here is the completed table:
Water park Skating Total
Boys 60 55 115
Girls 50 45 95
Total 110 100 210
The boys that went skating is 55.
The relative frequency of boys who want to go to the water park is 0.52.
The probability that a randomly selected student is a girl who wants to go skating is 0.21.
There are more boys than girls.
What is the two way frequency table?
Total number of girls = 50 + 45 = 95
Total number of boys = 210 - 95 = 115
Total number of boys that want to skating = 115 - 60 = 55
Total number of students that go to the water park = 60 + 50 = 110
Total number of students that want to go skating = 45 + 55 = 100
The relative frequency of boys who want to go to the water park = number of boys who want to go to the water park / total number of students
110 / 210 = 0.52
The probability that a randomly selected student is a girl who wants to go skating = number of girls that want to go skating / total number of students
45 / 210 = 0.21
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13 A young girl standing on a cliff is throwing stones up into the air so that they land in the ocean below. The height h, in meters, of each stone above the ocean is related to the
time 1, in seconds, after it has been thrown by the function
h = -21? + 21 + 40. What is the maximum height reached by
each stone?
The maximum height reached by each stone is 40.5 meters.
The height of each stone above the ocean is given by the function:
h = -2t² + 2t + 40
This is a quadratic function in standard form, with a = -2, b = 2, and c = 40.
The maximum height reached by the stone occurs at the vertex of the parabolic curve described by this function.
The t-coordinate of the vertex is given as:
t = -b / 2a
Substitute the values of a and b,
t = -2 / (2×(-2)) = 0.5
So the maximum height is reached 0.5 seconds after the stone is thrown.
To find the maximum height, substitute the value of t into the function:
h = -2(0.5)² + 2(0.5) + 40 = 40.5 meters
Therefore, the maximum height reached by each stone is 40.5 meters.
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You and a friend go to the local taco joint for lunch. You order three tacos and three burritos and your bill totals $11.25. Your friend's bill is $10.00 for 2 burritos and 4 tacos. Which system of equations can be used to determine the cost of b, a single burrito, and t, a single taco?
A.
3t + 3b = 10
2t + 4b = 11.25
B. 3t+ 3b = 11.25
2t + 4b = 10
C. 3t+ 3b = 10
4t + 2b = 11.25
D. 3t + 3b = 11.25
4t + 2b = 10
Answer:
d
Step-by-step explanation:
Find the measure of a 6.
102
78
46 = [?]
Answer:
102°
Step-by-step explanation:
They're still corresponding angles... have you read any of these explanations?...
Answer correctly and I will give Brainly
Answer:
y= 5/6x+4
Step-by-step explanation:
you go up 5
over 6
so 5/6
then its already on positive 4 so its +4
Slope-intercept form is the form of a line where y equals the product of the slope and the input plus the y-intercept, or:
y = mx + b
\(m = \frac{y_2 - y_1}{x_2-x_1}\\m = \frac{9 - 4}{6-0}\\m = \frac{5}{6}\)
b = 4
The final equation of the line is:
y = 5/6x + 4
equivalent expressions to 7^3*7^x
A riverboat travels 54 km downstream in 2 hours. It travels 57 km upstream in 3 hours. Find the speed of the boat and the speed of the stream
Here we must write and solve a system of equations to find the speed of the boat and the speed of the stream. We will find that the boat's speed is 23km/h and the river's speed is 4km/h.
First, remember the relation:
Distance = Speed*Time.
Now let's define the variables we will be using:
B = boat's speedR = river's speed.When the boat travels downstream, the total speed of the boat is the speed of the boat plus the speed of the river, and we know that in that case it travels 54km in 2 hours, then:
54km = (B + R)*2h
When the boat travels upstream, we must subtract the speed of the river. In that case, we know that the boat travels 57km in 3 hours, then we have:
57km = (B - R)*3h
Then our system of equations is:
54km = (B + R)*2h
57km = (B - R)*3h
To solve this, first, we need to isolate one of the variables in one of the equations, let's isolate B in the second one:
57km = (B - R)*3h
57km/3h + R = B
19 km/h + R = B
Now we can replace that in the other equation:
54km = (B + R)*2h
54km/2h = B + R
27 km/h = B + R = (19 km/h + R) + R
Now we can solve this for R:
27 km/h = 19km/h + 2*R
27 km/h - 19km/h = 2*R
8 km/h = 2*R
(8km/h)/2 = 4km/h = R
Now that we know the value of R, we can use:
B = 19 km/h + R = 19 km/h + 4km/h = 23 km/h
So the boat's speed is 23km/h and the river's speed is 4km/h.
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This property tells us that when we change the order of numbers when we are adding, the answer does not change. What property is it?
There is a property called "Commutative property of addition". This property states that if you have an addition and you change the order of the addends (The numbers you are adding), you will get the same sum.
Let be "a", "b" and "c" the addends and "d" the sum. Then:
\(\begin{gathered} a+b+c=d \\ b+c+a=d \end{gathered}\)For example, applying this property, you know that:
\(\begin{gathered} 1+6+3=10 \\ 3+6+1=10 \end{gathered}\)As you can observe, that answer is always the same.
Therefore, you can conclude that the property is: Commutative property of addition.
What is the average rate of change of g over the interval [-1 4]
Answer:
your answer will be -1.2
Step-by-step explanation:
hope it helps you
have a great day
What is the vertex of the parabola represented by y = - x^2 + 6x - 5-x has a variable of 2
Answer:
The vertex of the parabola is (3, 4)
Explanation:
Given the equation:
\(y=-x^2+6x-5\)This is in the form:
\(y=ax^2+bx+c\)With a = -1, b = 6, and c = -5
The x-coordinate of the vertex is given as:
\(\begin{gathered} x=-\frac{b}{2a} \\ \\ =-\frac{6}{2(-1)} \\ \\ =\frac{6}{2} \\ \\ =3 \end{gathered}\)Substituting x by 3 in the equation of the parabola, we can obtain the y-coordinate of the vertex.
Doing that, we have:
\(\begin{gathered} y=-(3^2)+6(3)-5 \\ =-9+18-5 \\ =4 \end{gathered}\)Therefore, the vertex of the parabola is (3, 4)
Match the system of linear equations on the left with its solution type on the right
1. Y=2x-1
Y=2x+1
2. Y-4x=-2
Solution for the given System of linear equation is:
Infinite number of solution(2, -3)(-2, 4)Infinite number of solutionWhat are System of equation?Simultaneous equations, system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.
There are four methods to solving systems of equations: graphing, substitution, elimination and matrices.
Given, the system of linear equations on the left with its solution type on the right
For Y=2x-1 and Y=2x+1
Adding both equation, we will get y = 4x
Thus, these equations have infinite number of solution
For 2x - y = 7 and 3x + y = 3
Adding these equations
5x = 10
x= 2
Substitute the value in equation 1
y = -3
Thus, solution is (2, - 3)
therefore, the Solution for the given System of linear equation is:
Infinite number of solution(2, -3)(-2, 4)Infinite number of solutionLearn more about System of equation here:
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Complete question:
Write an equation in slope intercept form that has
one solution
Answer:
7.256277.1768.2.46717
Step-by-step explanation:
hulaan mo nlng
Use the slope formula to determine the slope of the line.
(6,7) (9,9)
Answer:
2/3
Step-by-step explanation:
y2-y1/x2-x1
9-7/9-6
2/3
what do you add to 35 over 8 to make 6
Answer:
You would add \(\frac{13}{8}\) or 13/8 (fraction)
Step-by-step explanation:
First we make an equation with the following evidence:
We know 35 over 8 is \(\frac{35}{8}\)
And we know were trying to get 6
The unknown is the "add" which gives us X
Equation: x + \(\frac{35}{8}\) = 6
When we solve the equation we get x = 13/8
How do we solve it?
Subtract 35/8 on both sides:
x + 35/8 -35/8 = 6 - 38/8
And leaves us with x = 6
A square is cut into two identical rectangles. Find the perimeter of each rectangle if the perimeter of the square is 48 cm.
thankyou ~
Solution:
perimeter of rectangle = 2 ( Length + Width )
a square has all sides of similar length. thus [ length = width ]Find length/width:
2 (length + length) = 48
2(length) = 24
length = 12 cm
width = 12 cm
⇒ The dimensions of square: 12 x 12
If the square cut into half, the dimensions of either length or width will half.
Therefore, the perimeter of rectangle:
→ 2 (length + width)
→ 2 ( 12 + 6 )
→ 2 ( 18 )
→ 36 cm
6.2
3
6
Find the area of the parallelogram.
Answer:
18 square units
Step-by-step explanation:
the area of a parallelogram is represented by length times width
or l * w
l is 3 and w is 6
when you multiply them you get 18
you have to add the square in front of your type of unit too
simplify the following expression:
(2x^3)^2 * (3x)^4
\((2x^3)^2\cdot (3x)^4\implies (2^2 x^{3\cdot 2})\cdot (3^4x^4)\implies 4x^6\cdot 81x^4 \\\\\\ (4)(81)x^{6+4}\implies 324x^{10}\)
PLEASE HELP ME RIGHT NOW ASAP
Answer:
Step-by-step explanation:
Let's just say this circle has value x.
x increases by 5%, or 0.05 of x.
x + 0.05x = 1.05x
1.05x now increases by 5% again:
1.05x + 0.05(1.05x) = 1.1025x
The total increase is equal to (1.1025-1)*100 = 10.25%
Hope this helps!
Part 1 A projectile is launched from ground level with an initial velocity of v0 feet per second. Neglecting air resistance, its height in feet t seconds after launch is given by s=−16t2+v0t. Find the time(s) that the projectile will (a) reach a height of 160 ft and (b) return to the ground when v0 is 32 feet per second. Question content area bottom Part 1 (a) Find the time(s) that the projectile will reach a height of 160 ft when v0=32 feet per second. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
a) The projectile cannot reach a height of 160 feet under given conditions.
b) The projectile takes a time of 2 second to hit the ground.
How to analyze the height of a projectile in time
In this question we find the case of a project under free fall, that is, a vertical uniformly accelerated motion due to action of gravity, whose formula is shown below:
s = - 16 · t² + v₀ · t
Where:
t - Time, in secondsv₀ - Initial speed, in feet per second.Part A - If we know that v₀ = 32 ft / s and s = 160 ft, then the time associated is:
- 16 · t² + v₀ · t - s = 0
- 16 · t² + 32 · t - 160 = 0
By quadratic formula:
t₁ = 1 + i 3, t₂ = 1 - i 3
It is physically impossible to reach a height of 160 feet under conditions given.
Part B - If we know that s = 0 ft and v = 32 ft / s, then the final time is:
- 16 · t² + v₀ · t - s = 0
- 16 · t² + 32 · t = 0
- 16 · t · (t - 2) = 0
The final time for the projectile is 2 seconds.
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Which situation involves an annuity?
A.
investing a $1,000 lump sum into an investment account
B.
depositing $5,000 into a one-year CD
C.
using $500 to open a savings account
D.
making regular deposits of $100 into a sinking fund
Answer:c. Using $500 to open a saving account
Step-by-step explanation:
Answer:
its D. making regular deposits of $100 into a sinking fund.
Step-by-step explanation:
I got it right
q = d / d+ n on a manufacturer's assembly line, d parts are found to be defective and n parts are nondefective. the formula above is used to calculate a quality-of-parts ratio. What is d expressed in terms of the other two variables?
a. n / 1 - q
b. nq / 1 - q
c. n / q-1
d. nq / q-1
Answer:
d. nq / q - 1
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
FactoringStep-by-step explanation:
Step 1: Define
q = d / (d + n)
Step 2: Solve for d
Multiply (d + n) on both sides: q(d + n) = dDistribute q: dq + qn = dSubtract qn on both sides: dq = d - qnSubtract d on both sides: dq - d = -qnFactor GCF: d(q - 1) = -qnDivide (q - 1) on both sides: d = -qn / (q - 1)Rearrange: d = nq / -(q - 1)Distribute -1: d = nq / 1 - qCindy tried to find the sum of the exterior angles of the hexagon. What was her error?
will mark brainiliest!
Step-by-step explanation:
Simple, she found the sum of the interior angles not exterior angles.
The exterior angles of any polygon add up to 360 degrees.
What Cindy did was found the total interior angle measure of a hexagon which is 720
. Find the greatest common factor and the least common multiple of each of the following sets of numbers. 12 and 7
Answer:
HCF: 1
LCM: 84
Step-by-step explanation:
7 is a prime number. Nothing but 1 and 7 divide into which means that twelve and 7 have no highest common factor but 1.
The lowest common multiply (because 12 and 7 are prime to each other ) is 12 * 7 = 84
Answer:
LCM = 84 GCF = 1
Step-by-step explanation:
LCM of 7 and 12 is 84.
GCF(7,12) = 1
LCM(7,12) = ( 7 × 12) / 1
LCM(7,12) = 84 / 1
LCM(7,12) = 84
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
GCF of 7 and 12 is 1. Now calculate the prime factors of 7 and 12, then find the greatest common factor (greatest common divisor) of the numbers.
To find the GCF of two numbers: List the prime factors of each number. Multiply those factors both numbers have in common. If there are no common prime factors, the GCF is 1.
A pool drains 5000 gallons of water over the course of 5 hours. How many gallons of water, on average, does the pool drain each hour?
A. -5000 gallons per hour
B. -1000 gallons per hour
C. -100 gallons per hour
D. 1000 gallons per hour
Answer:
D. 1000 gallons per hour
Step-by-step explanation:
5000 / 5 = 1000
Answer: If it drained 5000 gallons and there were 5 hours, then 5000 divided by 5 is 1 so that would be answer D.
Hoped this helped!
Which of the following may fall outside a triangle?
A. incenter and circumcenter
B. orthocenter and circumcenter
C. circumcenter and centroid
0 D. centroid and incenter
Answer: B
Step-by-step explanation:
which is the right one. i need help!!!!
Answer: 23
step by step:
The angle is 90 degrees
(2x+14) + (x+7) = 90
(2x+ x) + (14+7) = 90
3x+21 = 90 (subtract 21 from both sides)
3x+ 21 - 21 = 90 - 21
3x = 69 ( divide each side by 3)
x = 23
Let () = sin( 3 ). a. Find ′ ()
Answer:
.052
Step-by-step explanation:
sin(3) = .052
() = sin(3)
() = .052
How many ways can Patricia choose 4 pizza toppings from a menu of 8 toppings if each topping can only be chosen once
Answer: 70
======================================================
Explanation:
Consider we have four slots A, B, C, D.
We have 8 choices for slot A, 7 for B, 6 for C, and 5 for D.
We count down because each time we can't reuse whatever topping was picked earlier.
Multiplying out those values gives: 8*7*6*5 = 1680
There are 1680 permutations. This would be the answer if order mattered, but it doesn't matter.
Since order doesn't matter, we have to divide by 4! = 4*3*2*1 = 24. This is the number of ways to arrange any group of 4 items.
We get 1680/24 = 70 as the final answer
--------------------
Another way to get the answer is to apply the nCr combination formula
\(_nC_r = \frac{n!}{r!*(n-r)!}\)
with n = 8 and r = 4.
Another alternative is to use Pascal's Triangle. You would look in the row that starts with 1,8,... and count out 5 slots (because r starts at r = 0) to arrive at 70.