Answer:
6 gallons per minute
Step-by-step explanation:
54 gallons came out in 9 minutes
54/9 = 6
the rate is 6 gallons per minute
Latisha has $40 in her checking account. She makes a withdrawal of $20 and then writes a check for $40. Then she deposits $30. Use the number line and complete the equation to find her final balance.
The final balance that will be in the account of Latisha is $10.
What is a checking account?A checking account simply means the account that makes use of a check. It is usually used by business owners.
From the information, Latisha has $40 in her checking account, she makes a withdrawal of $20 and then writes a check for $40 and then she deposits $30.
The appropriate operations to find the balance will be:
= 40 - 20 - 40 + 30
= 10
She will have $10 left. Note that a withdrawal is subtraction.
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In the diagram below, isosceles triangle ABC is drawn with AB is congruent AC and side BC extended through point D. If
m/ACB=2x+16 and m angle ACD=5x+24, find the measure of angle A.
Answer:
32°
Step-by-step explanation:
Angle A + angle B = angle ACD
Since it is an isosceles triangle angle a = angel b
2(2x + 16) = 5x +24 distribute the 2
4x + 32 = 5x + 24 Subtract 4x from both sides
32 = x + 24 Subtract 24 from both sides
8 = x
Now plug in 8 for x in 2x + 16
2(8) + 16
16+ 16 = 32
Suppose that kellogg believes that the average weight for a box of frosted flakes is 18 ounces. As part of a quality control effort, they sample 30 boxes and find that the mean of those 30 boxes is 18. 2 ounces. Historical records show that the standard deviation of the filling process is 0. 32 ounces. How likely is it for the sample mean to have been 18. 2 ounces or larger if the actual mean is 18 ounces and the standard deviation of the filling process is 0. 32 ounces? round your answer to four decimal places.
If the actual mean is 18 ounces, there is a 0.0003 chance that the sample mean was 18.2 ounces or more.
Given that 18 ounces are what Kellogg estimates to be the typical weight of a box of Frosted Flaked. The average weight of the 30 cartons they sampled was 18.2 ounces. According to past data, the filling procedure's standard deviation is 0.32 ounces.
Let Y be a box weights random variable.
μ = 18 ounces
SD = 0.32 ounces
The sample size and mean are provided as,
Sample size (n) = 30
Sample mean (y) = 18.2
Y then follows roughly the standard deviation N(μ = 18, SD = 0.32)
Z score appears as:
[tex]z = \frac{\sqrt{n}(y-u)} {SD}[/tex]
where z is a normal standard variable having a mean of 0 and a standard deviation of 1.
Since sample size n is 30 and the standard deviation is given. y follows approximately Normal distribution
If the actual mean is 18 ounces, the likelihood that the sample mean will have been 18.2 ounces or more is given as,
[tex]P[Y \geq 18.2] = P [\frac{\sqrt{n(y - u)} }{SD} \geq \frac{\sqrt{30}(18.2- 18) }{0.32}\\ \\ =P [z\geq \frac{\sqrt{30}* 0.2 }{0.32}]\\ \\= P [z\geq \frac{1.0954}{0.32}]\\ \\=P [z\geq 3.4233]\\\\= 0.0003[/tex]
Therefore, if the actual mean is 18 ounces, there is a 0.0003 chance that the sample mean was 18.2 ounces or more.
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I am a little confused with this.
The roots of the given equation are:
x = i√13 and x = - i√13Where, There are 2 roots for this polynomial function because of the need to find + and - of the radicand i√13.What are the roots of an equation?The values of the variable that satisfy a quadratic equation are known as its roots.The solutions or zeroes of the quadratic equation are other names for them.The x-coordinates of the x-intercepts of a quadratic function are the roots of the function.Solving quadratic equations refers to the process of locating the roots of quadratic equations.Get roots of equation, 2x² + 26 = 0:
2x² + 26 = 02x² = -26Divide both sides by 2:
x² = -13Finding square roots on both sides:
x = √-13x = √13i²x = ±i√13So, the roots of the equation are x = ±i√13.
There are 2 roots for this polynomial function because of the need to find + and - of the radicand i√13.A real number is multiplied by the imaginary unit i that is specified by its property i²-1 to create an imaginary number.Therefore, the roots of the given equation are:
x = i√13 and x = - i√13Where, There are 2 roots for this polynomial function because of the need to find + and - of the radicand i√13.To learn more about the roots of an equation, refer to:
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Use algebra tiles to show the expressions are equivalent.
1) y + 10y and 11y
2) -2(x + 8) and -2x + (-16)
3) x + 2(y - 5x) and 2y - 9x
Hey you man what are you doing here go to there
what is the y value of the kilo
y value of the kilo
y = (1/1000) x
imagine
x = 20
y = x / 1000
20 / 1000 = 0.020
The range of x values that define the expression is known as the domain. The collection of all legal y values constitutes the range. To determine the range, use the graph.
How are domain and range determined?
The Equation's Domain and Range in order to identify the values of the independent variable x and acquire the domain, we simply solve the equation y = f(x). Simply put, x=g(y) will calculate the function's range after we identify g's domain (y)
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Which equation has no solution
4(x+1)=2x+4 or 9-5x+2=4-5x
the answer:
9-5x+2=4-5x
Step-by-step explanation:
as there is -5X in the two sides
Write the equation for a parallel to Y=3/2x+5 that contains point (0,-2)
Answer:
Step-by-step explanation:
-2=3/2(0)+5
work out (5 times 10^3) x (9 times 10^7) Give your answer in standard form
The standard form of (5 times 10^3) x (9 times 10^7) is 45x10^10
(5 times 10^3) x (9 times 10^7)
=5x10^3 x 5x10^7
=5x9 x 10^(3+7)
=45x10^10
The answer can also be written in the Decimal Point format,
=4.5x10^11
This answer can be elaborated by using the Product of Powers rule of exponents. In this rule, we add exponents when multiplying powers with the same base.
Exponent = The number of multiplications by itself. It is represented as written above and to the right of a number.
For example:
10^7, where 10 is the base and 7 is an exponent.
Product of Powers rule of Exponents:
a^b x a^c = a^(b+c)
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HELP PLEASE!!!!
Simplify −4r(−11r + 2r − 14).
−36r^2 + 56r
−36r^2 − 56r
36r^2 + 56
36r^2 + 56r
Answer:
[tex]36r^2+56r[/tex][tex]36r^2+56r[/tex]
Step-by-step explanation:
First simplify [tex]-4r(-11r+2r-14)[/tex] into [tex]-4r(-9r-14)[/tex] by adding the terms with common variable r together,
then expand into the answer
Answer:
-36r^2 - 56r
Step-by-step explanation:
Write an algebraic expression for the word phrase.
4 less than the product of y and 12
a) 12y + 4
b) 4 − 12y
c) 12y − 4
d) 12y − 4y
Answer:
c
Step-by-step explanation:
the product (multiply ) of y and 12 is 12y and 4 less than 12y is
12y - 4
Answer:
12y - 4.
Step-by-step explanation:
The product is 12y and we subtract 4 from it.
What is 10+10? I’ll give brainliest
Answer:
Step-by-step explanation:
20
BEING TIMED HElp
Which rectangular equation is formed by eliminating the parameter?
y = t3
x = t + 5
A.y = x3 – 125
B. y = x3 + 125
C. y = x3 – 5x2 + 25x – 125>>>>>> WRONG
D.y = x3 – 15x2 + 75x – 125
Answer:
its d i got it right
Step-by-step explanation:
Determine if 0.68
0.68 is rational or irrational and give a reason for your answer.
choices for explanation-
it is a decimal that repeats
it is the square root of a non perfect square
it is the square root of a perfect square
it is a decimal that does not repeat or terminate
it is a decimal that terminates
(urgent pls help)
0.68 is a rational number and the reason is because:
It is a decimal that terminatesWhy is 0.68 a rational number?0.68 can be regarded as a rational number because it is a finite number that is also a fraction of two whole integers. In this case, the integers are 68 and 10. Another feature by which rational numbers are known is the fact that they are repeating in nature.
However, it is important to note that the decimal here is terminating in nature because it has a finite number of zeros behind the number 8. So, the reason for selecting 0.68 as a rational number is that it terminates.
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us the data set to choose the two measures that are equivlent 4, 5, 6, 7, 8
The mean and median of the data are equivalent and the value is 6.
The mean (average) of a data set can be calculated by adding up all the numbers in the collection and dividing by the total number of values in the set.
When a data set is sorted from least to greatest, the median is the middle. The value that pops up most frequently in a data set is its mode.Between the lowest and highest value is the range. You subtract the lowest value from the greatest value to calculate it.The exact midpoint between the lowest and highest values in a set of data is the midway value. Finding the middle requires adding the smallest and greatest values together, then dividing the result by two.Let us find the mean of the data set :
mean = (4 + 5 + 6 + 7 + 8) ÷ 5 = 30÷ 5 = 6
Median = 6 middle value.
Therefore the mean and median are equivalent.
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Given the equation k over 22.8 equals 6.9, determine the value of k.
3.30
15.9
29.7
157.32
The value of k in the equation, k over 22.8 equals 6.9, is 157.32.
What is the value of k?The given equation is:
k / 22.8 = 6.9
In order to determine the value of k, multiply both sides of the equation by 22.8.
Multiplication is one of the basic mathematical operation. It is the operation that is used to determine the product of two or more numbers by adding a number with another number repeatedly over a number of times. The sign that represents multiplication is ×.
(k / 22.8) x 22.8 = 6.9 x 22.8
k = 157.32.
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Determine if the given lines are parallel, perpendicular or neither. line a: 6x - 12y = -24 line b: 3y = 2x + 18
Answer: n = 1/2; m = 2/3
Step-by-step explanation:
A ⇒ 12 y = 6x + 24
[tex]y=\frac{n}{2}+2[/tex]
[tex]n=\frac{1}{2}[/tex]
B ⇒ 3y = 2x + 18
[tex]y=\frac{2}{3}n+6[/tex]
[tex]m=\frac{2}{3}[/tex]
∴ Lines are neither because slop diff.
Please answer the question in the photo (will mark Brainliest if correct)
Answer:
z = 54
Step-by-step explanation:
The sum of all interior angles in a polygon is given by the formula :
(n-2) × 180 (Where n is the number of sides) .
There are 5 sides so the sum of all interior angles will be :
(5-2) × 180 = 540°
So :
108 + 130 + 140 + 2z + z = 540
Simplify :
378 + 3z = 540
Subtract 378 from both sides :
3z = 540 - 378
3z = 162
Divide both sides by 3 :
z = 162 ÷ 3
z = 54
Hope this helped and have a good day
What is 80000*60/70[64+87)/6
Answer: 1725714.28571
Answer:
12080000/7 or 1725714.28571
Step-by-step explanation:
Samuel was preparing for the triathlon. HE did 3 activities every morning:
ran for 30 minutes covering 4.5 miles
swam for 20 minutes,covering 2/3mile
biked for 45 minutes, covering 9 miles
What was Samuels average speed during his morning routine?
Giving brainliest
Samuel's average speed during his morning routine is 24.3 miles per hour.
What is the average speed?
Average speed measures how fast an object or a person is travelling with respect to time. Average speed is the ratio of total distance travelled and total time travelled.
Average speed = total distance / total time
Total distance = 4.5 + 2/3 + 9
= 4.5 + 9 + 0.67 = 14.2 miles
Total time = 30 + 20 + 45 = 95 minutes = 1 hour 35 minutes = 1 7/12 hours = 1.6 hours
Average speed = 14.2 / 1.6 = 24.3 miles per hour
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Find the derivative of the following function:
The derivative of the function [tex]f(x) = \sqrt{2x + (x^2 + 1) (0.5x^2 + 2x + 1)^2}[/tex] will be given below.
[tex]f'(x) = \dfrac{1 + (0.5x^2 + 2x + 1)(1.5x^3 + 4x^2 + 2x + 2)}{\sqrt{2x + (x^2 + 1) (0.5x^2 + 2x + 1)^2}}[/tex]
What is differentiation?The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decrease.
The equation of the function will be given as,
[tex]f(x) = \sqrt{2x + (x^2 + 1) (0.5x^2 + 2x + 1)^2}[/tex]
The derivative of the function will be given as,
[tex]f'(x) = \dfrac{d}{dx} \ \sqrt{2x + (x^2 + 1) (0.5x^2 + 2x + 1)^2} \\\\\\f'(x) = \dfrac{2 + 2(x^2 + 1)(0.5x^2 + 2x + 1) \cdot (x + 2) + (0.5x^2 + 2x + 1)^2 \cdot 2x}{2\sqrt{2x + (x^2 + 1) (0.5x^2 + 2x + 1)^2} }\\\\\\f'(x) = \dfrac{2 + (0.5x^2 + 2x + 1)[2(x^2 + 1)(x + 2) + (0.5x^2 + 2x + 1) \cdot 2x]}{2\sqrt{2x + (x^2 + 1) (0.5x^2 + 2x + 1)^2} }\\[/tex]
Solve the equation further, then we have
[tex]f'(x) = \dfrac{1 + (0.5x^2 + 2x + 1)[(x^2 + 1)(x + 2) + (0.5x^2 + 2x + 1) \cdot x}{\sqrt{2x + (x^2 + 1) (0.5x^2 + 2x + 1)^2}}\\\\\\f'(x) = \dfrac{1 + (0.5x^2 + 2x + 1)(x^3 + 2x^2 + x + 2 + 0.5x^3 + 2x^2 + x)}{\sqrt{2x + (x^2 + 1) (0.5x^2 + 2x + 1)^2}}\\\\\\f'(x) = \dfrac{1 + (0.5x^2 + 2x + 1)(1.5x^3 + 4x^2 + 2x + 2)}{\sqrt{2x + (x^2 + 1) (0.5x^2 + 2x + 1)^2}}[/tex]
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Order the values from least to greatest:
9/4 , 160%, 1.8, 16/5 , 220%, and 2.1
The values from the least to greatest is 160%, 1.8, 2.1, 220%, 16/5 .
In the question ,
it is given that
the values 9/4 , 160%, 1.8, 16/5 , 220%, and 2.1
to arrange the values , we first need to simplify all the values .
(i) the value 9/4 = 2.25
(ii) 160% = 160/100 = 1.60
(iii)the value 1.80
(iv) Simplifying 16/5 , we get 3.20
(v) Simplifying 220% = 220/100 = 2.20
(vi) the value 2.10
the least value is 1.60 which is 160%.
the greatest value is 3.20 which is 16/5 .
Therefore ,the values from the least to greatest is 160%,1.8,2.1,220%,16/5 .
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Which numbers are a distance of 0.9 units from −2 on this number line
Answer:−2.9 and −1.1
Step-by-step explanation:
Solve for v.
v²-2v-8=0
Answer:
v=4,−2
Step-by-step explanation:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Answer:
[tex]{ \sf{ {v}^{2} - 2v - 8 = 0}} \\ { \sf{(x + 2)(x - 4) = 0}} \\ { \tt{x = - 2 \: \: or \: \: 4}}[/tex]
A. Fill in the diagram with the following information for angle A = 2g -24, for angle (choose a number between 65 and 102). Label the diagram with B angle A and B. (1 point)
B. Solve for g
C.find the measure of angles A,C, and D showing all work
pls help :((
Answer:
answer is c
Step-by-step explanation:
5x+2=10
Analyze the definition below and complete the instructions that follow.
A calf is a young cow.
Identify the p and q statements from the given definition.
A.
p: A cow is young ↔ q: A cow is not a calf
B.
p: A young cow is a calf ↔ q: A calf is a cow
C.
p: A cow is a young calf ↔ q: A calf is a young cow
D.
p: A cow is a calf ↔ q: A cow is young
Answer: B
Step-by-step explanation:
Assuming we mean biconditional statements. A biconditional must always be true. B is the only answer choice were both p and q are true. A young cow is a calf, and calfs are cows. Hope this helps!
PLEASE HELP ME
ALL YOU NEED TO DO IS FIND WHERE THE ERROR WAS MADE AND WHAT WAS THE ERROR
Enter the equation of the parabola passing through the points (3, 9), (30, -9), (0,1).
The equation of the parabola is y=
Equation is y = 2x² + 4x + 1.
What is parabola?A parabola is an approximately U-shaped, mirror-symmetrical planar curve. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves. A parabola can be described using a point and a line.
Given Data
Standard form of quadratic equation
Y = ax² +bx + c
Given points
(3,9), (30,-9). (0,1)
Equating points in formula
9= a(3)² + b(3) + c
9 = 9a + 3b +c
-9 = a(30)² + 3(30) + c
-9 = 900a + 90 + c
1 = a(0)² + b(0) + c
c = 1
Equating c in the equation
9 = 9a + 3b +1
8 = 9a + 3b
-9 = 900a + 90b +1
-10 = 900a + 90b
Multiplying both sides by 100
800 = 900a + 300b
-10 = 900a + 90b
--------------------------
790 = 210b
b = 4 (rounding off)
Putting values of b into equation
8 = 9a + 3(4)
20 = 9a
a = 2 (rounding off)
Equation is y = 2x² + 4x + 1.
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2x+5+7x = 8x-11 solve for x
Answer:
x
Step-by-step explanation:
2x + 5 + 7x = 8x -11 Combine like terms
9x + 5 = 8x -11 Subtract 8x from both sides of the equation
x + 5 = -11 Subtract 5 from both sides of the equation.
x= -16
Answer: -16
Step-by-step explanation:
2x+5+7x = 8x-11 simplifies into 9x+5 = 8x -11.
Move 8x to the other side - put like terms together : 9x-8x+5 = -11
Which is simplified into x+5 = -11
Move 5 to the other side to isolate x: x = -11 -5
Combine -11 and -5
x = -16
A recipe says that 2 cups of dry rice will serve 6 people. Complete the table as you answer the questions. Be prepared to explain your reasoning.
How many people will 10 cups of rice serve?
How many cups of rice are needed to serve 45 people?
A recipe says that 6 spring rolls will serve 3 people. Complete the table
Answer:
1a. 10 cups of dry rice will serve 30 people.
1b. 15 cups of dry rice will serve 45 people.
2. 30 spring rolls = 15 people
40 spring rolls = 20 people
56 spring rolls = 28 people
Step-by-step explanation:
1a. To find a constant, the equation is y/x. When 6 is divided by 2, you get 3 and from there the input increases by 3. So, you multiply 10 by 3 to find how many people it can serve.
1b. To find this answer, you divide 45 by 3 to get 15. So 15 cups will serve 45 people.
2. Any number in the second column is divided by .5 to get the number in the first column. Any number in the first column is multiplied by .5 to get the number in the second column.
I hope that helps :)