The percent of the resulting mixture which is juice as required in the task content is; 43.33%.
What percent of the resulting mixture is juice according to the given information?It follows from the task content that the percent of the resulting mixture which is juice is to be determined given the information.
As evident in the task content;
The 6-gallon container has 40% juice while a 3-gallon container that is 50% juice.
Therefore, it can be inferred from the juice balance of the mixing arrangement that;
( 40% of 6 ) + ( 50% of 3 ) = (x% of 9)
since; the total mixture has volume; 6 + 3 = 9.
Therefore, it follows from evaluation that;
(0.4 × 6) + (0.5 × 3) = 0.01x × 9
2.4 + 1.5 = 0.09x
0.09x = 3.9
x = 3.9 / 0.09
x = 43.33%.
On this note, the percent of the resulting mixture which is juice is; 43.33%.
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which point could represent 5/3?
A
B
C
D
Answer:
C
Step-by-step explanation:
5/3 can be written as 1.6666667 in decimal form. C is the only option greater than 1
If anyone can help me ill give you 20 points !!!
Answer:
26
Step-by-step explanation:
Mr Ford has 78 cattle
so Mrs Metcalf has 78/3 = 26
Answer:
26
Explanation:
No of cattle Mr. Ford has= 78
Then, no of cattle Mrs. Metcalf will have:
= 78/3
=26
Which is an equation of a line that passes through the point (-1, -4 and has an undefined slope?
with an is + Un object is thrown vertically upward from a height of hift. initial speed of Vof +/sec It's height h (in feet) after + seconds is given by h = -16+² + vot h Given this, if it thrown vertically upward from the ground with an initial speed of: A, 64 Ful sec.A) it what time will the height of the object be Is F₁ (two answers) B, how long will it take for the object to reach 63 f1
The time to reach 15 feet is 3.75 seconds and the times to reach 63 feet are 1.75 and 2.25 seconds
Time to reach 15 feetFrom the question, we have the following parameters that can be used in our computation:
h= -16t² + v₀t + h₀
Also, we have
v₀ = 64
h₀ = 0
So, the function becomes
h= -16t² + 64t
At a height of 15 feet, we have
-16t² + 64t = 15
So, we have
-16t² + 64t - 15 = 0
Factorize the equation
So, we have the following representation
(4t - 1)(4t - 15) = 0
Expand the equation
4t - 1 = 0 or 4t - 15 = 0
So, we have
4t = 1 or 4t = 15
This gives
t = 1/4 or t = 15/4
Express as decimals
t = 0.15 or t = 3.75
Time to reach 63 feetHere, we have
h= -16t² + v₀t + h₀
Also, we have
v₀ = 64
h₀ = 0
So, the function becomes
h= -16t² + 64t
At a height of 63 feet, we have
-16t² + 64t = 63
So, we have
-16t² + 64t - 63 = 0
Factorize the equation
So, we have the following representation
(4t - 7)(4t - 9) = 0
Expand the equation
4t - 7 = 0 or 4t - 9 = 0
So, we have
4t = 7 or 4t = 9
This gives
t = 7/4 or t = 9/4
Express as decimals
t = 1.75 and t = 2.25
Hence, the time is 2.25 seconds
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Complete question
An object is thrown vertically upward from a height of h₀ ft with an initial speed of v₀ ft/sec. Its height h (in feet) after t seconds is given by
h= -16t² + v₀t + h₀. Given this, if it is thrown vertically upward from the ground with an initial speed of 64 ft/sec,
(a) At what time will the height of the ball be 15 ft? (two answers)
(b) How long will it take for the ball to reach 63 ft?
URGENT
pls answer soon
The measures of the angles are m ∠ 1 = 68°, m ∠ 2 = 126° and m ∠ 3 = 54°
What are parallel lines?Parallel lines are those straight lines that are always the same distance apart from each other. Parallel lines never meet, no matter how much they are extended.
Given is a figure, in which, lines d, e and lines f, g are parallel and h is a transversal.
In figure, (refer to figure attached)
ABC is a triangle,
Therefore, according to angle sum property of a triangle,
m ∠ 1 + 58° + 54° = 180°
m ∠ 1 = 180° - 112°
m ∠ 1 = 68°
Since, f║g
m ∠ 2 + 54° = 180° (consecutive angles between parallel line are supplementary)
m ∠ 2 = 126°
Similarly, d║e
m ∠ 2 + m ∠ 3 = 180°
m ∠ 3 = 180° - 126°
m ∠ 3 = 54°
Hence, The measures of the angles are m ∠ 1 = 68°, m ∠ 2 = 126° and m ∠ 3 = 54°
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I need the value of x with an explanation
The value of x if The measure of the angle is = 5x + 4, The measure of the angle is = 146, The lines are parallel, is 6.
What are parallel lines?Parallel lines are any two or more lines that all lie in the same plane and never cross one another. They are equally spaced apart and have the same incline.
Given:
The measure of the angle is = 5x + 4
The measure of the angle is = 146
The lines are parallel,
Calculate the value of x as shown below,
5x + 4 = 180 - 146 (Parallel line theorem, corresponding angle, and supplementary angles)
5x = 34 - 4
x = 30 / 5
x = 6
Thus, the value of x is 6.
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which statement must be ture?
Answer:
3. m/ABC > m/C
Step-by-step explanation:
Angle ABC is greater than the angle C
What is the area of a rectangle with a height of t ^ 2 + 7t + 6 and a width of 2t + 1
The area of a rectangle with given length and width is 2t³+15t²+19t+6 square units.
What is the area of a rectangle?The area occupied by a rectangle within its boundary is called the area of the rectangle. The formula to find the area of a rectangle is Area = Length × Breadth.
Given that, length of a rectangle =t²+7t+6 and width of rectangle =2t+1.
Here, area of a rectangle = (t²+7t+6)×(2t+1)
= t²(2t+1)+7t(2t+1)+6(2t+1)
= 2t³+t²+14t²+7t+12t+6
= 2t³+15t²+19t+6 square units
Therefore, area of a rectangle is 2t³+15t²+19t+6 square units.
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The radius of a circle is 5 feet. What is the length of an arc that subtends an angle of
radians?
3л/2
5 ft
Give the exact answer in simplest form.
feet
The radius of a circle is 5 feet, 23.55 feet is the length of an arc.
What is arc length?The arc length is, to put it simply, the distance that passes across the curved line of the circle that forms the arc.
The arc length formula may be used to get a circle's arc length from its radius and central angle.
The distance between two places in a curve's section is known as the arc length of a circle. Any portion of a circle's circumference is an arc. An arc's angle at any given location is the angle created by the two line segments connecting that point to the arc's endpoints.
Given that,
radius (r) = 5 feet
angle (θ) = 3π/2
Now as we know,
Arc length = radius x subtended angle in radians
or, Arc length = 5 feet x (3π/2 radians)
or, Arc length = 15π/2
or, Arc length = 23.55 feet
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an outlier will have an effect on:
1) quartile III
2) the mean
3) the mode
4) the interquartile range
the mean
the mean is the average, having an outlier will make the average significantly higher or lower than accurate.
A window company makes two square windowpanes. Windowpane A
has an area of 176 square inches. Windowpane B has an area of 275
square inches. How much longer is a side of Windowpane B than a
side of Windowpane A? Study the pictures.
Answer: 99.
If you take 275 and subtract it by 176, it should be 99, if I’m correct.
What is the interest earned in a savings
account after 12 months on a balance of
$3500 if the interest rate is 1.5% APY
compounded yearly?
Answer:
The interest earned on a savings account with a balance of $3500 and an interest rate of 1.5% per year compounded yearly would be $52.50 after 12 months.
Step-by-step explanation:
To calculate the interest earned on a savings account, you need to know the interest rate, the length of time the money is deposited, and the starting balance. Based on the information provided, it appears that the interest rate is 1.5% per year, the money is deposited for 12 months, and the starting balance is $3500.
To calculate the interest earned, you would first need to convert the interest rate to a decimal by dividing it by 100. In this case, the interest rate would be 0.015. You would then multiply the interest rate by the starting balance to get the amount of interest earned in a year. In this case, the interest earned would be $3500 * 0.015 = $52.50.
Since the interest is compounded yearly, the total balance after one year would be the starting balance plus the interest earned. In this case, the total balance would be $3500 + $52.50 = $3552.50. Therefore, the interest earned on a savings account with a balance of $3500 and an interest rate of 1.5% per year compounded yearly would be $52.50 after 12 months.
how many 10-digit integers are there which are palindromes? be sure to describe the process you are using.
There are 90000 palindromes 10-digit numbers.
In this question we need to find the number of 10-digit integers are there which are palindromes.
We know that a palindrome is a number that reads the same forward and backward.
The numbers that remain same even if they are reversed.
For exa., 131, 5225
We can observe that for even digit palindromes first half should be equal second half in reversed order.
we can generalize it as variables:
abcdeedcba, for a not equal to 0
So if we know how many 5-digit numbers are there, all we have to do is reverse it and we will have our 10-digit palindrome number.
There are 10 digits in total (0 - 9)
Since the first digit cannot be zero we excluded it from our choice hence we have 1–9 i.e 9 choices for first place(hundred's place)
The second, third, fourth and fifth digit has all 10 choices.
So, in total there are 9 x 10 x 10 x 10 x 10= 90000 five digit numbers.
Therefore, the total 10-digit numbers which are palindromes = 90000
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true or false the effect size for a regression analysis will be equal to the coefficient of determination
The statement 'the effect size for a regression analysis will be equal to the coefficient of determination' is True
In this question we have been given a statement 'the effect size for a regression analysis will be equal to the coefficient of determination'
We need to state whether the given statement is true or false.
We know that the effect size measures the strength of the relationship between two variables on a numeric scale.
And the coefficient of determination(R²) measures how well a statistical model predicts an outcome. It is a number between 0 and 1.
R² is a measure of effect size
Therefore, 'the effect size for a regression analysis will be equal to the coefficient of determination' is True.
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at 2 p.m., two cars leave eagle river, wi, one headed east and one headed west. if the car traveling east averages 55 mph and the car traveling west averages 40 mph, when will the cars be 237.5 miles apart?
After 2.5 hours cars be 237.5 miles apart.
What is distance?
The measurement of distance between two objects or points can be quantitative or occasionally qualitative. Distance in physics or common usage can refer to a physical length or an estimation based on other factors.
First to write equation for each car
[tex]d_1=r_1t_1 (east bound)\\d_2 = r_2t_2 (west bound)[/tex]
They both start at the same time, and I will stop them both when they are 165 mi apart.
So, [tex]t_1=t_2[/tex] call just t.
⇒
[tex]d_1 = r_1t\\d_2=r_2t[/tex]
[tex]t = \frac{d_1}{r_1} \\t= \frac{d_2}{r_2}[/tex]
⇒
[tex]\frac{d_1}{r_1} = \frac{d_2}{r_2} \\d_1r_2 = d_2r_1[/tex] ..(1)
We also know that
[tex]d_1 + d_2 = 237.5[/tex]
[tex]d_2 = 237.5 - d_1[/tex]
[tex]r_1 = 55, r_2 = 40[/tex]
So, equation (1) becomes,
[tex]40d_1 = 55d_2[/tex]
Plug the value of [tex]d_2[/tex].
[tex]40d_1 = 55(237.5 - d_1)\\40d_1 = 13,062.5 - 55d_1\\40d_1 + 55d_1 = 13062.5\\95d_1 = 13062.5\\d_1 = 137.5[/tex]
[tex]d_1 = 137.5 mi[/tex]
Now,
[tex]t = \frac{d_1}{r_1} = \frac{137.5}{55} = 2.5[/tex]
Hence, after 2.5 hours cars be 237.5 miles apart.
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a friend of yours who works in the it department of a bank tells you that tellers are allowed to log in to their terminals only from 9 a.m. to 5 p.m., monday through saturday. what is this restriction an example of?
Given restriction is an example of Time-of-day restrictions
The correct answer is an option (C)
In this question we have been given a friend tells you that tellers
are allowed to log in to their terminals only from 9 a.m. to 5 p.m., Monday through Saturday.
We need to identify the type of restriction in this example.
We know that time-of-day restrictions are the restrictions that often used to limit the hours during which a user is allowed to log into or access a system.
This type of restrictions helps prevent unauthorized access outside that user's normal working hours .
Therefore, given restriction present in this example: Time-of-day restrictions
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The complete question is:
A friend of yours who works in the IT department of a bank tells you that tellers are allowed to log in to their terminals only from 9 a.m. to 5 p.m., Monday
through Saturday. What is this restriction an example of?
A. User auditing
B. Least privilege
C. Time-of-day restrictions
D. Account verification
the standard error of the slope coefficient is 0.121855. calculate the lower limit of the 95% confidence interval of the slope coefficient for the regression of kinesthetic vark scores on the visual vark scores for biology students:
Lower limit = 0.45 - (1.96 * 0.121855) = 0.2209. This means that we can be 95% confident interval that the true slope coefficient lies between 0.2209 and 0.45.
1. The standard error of the slope coefficient can be calculated by dividing the sample standard deviation of the residuals (obtained from the regression output) by the square root of the sample size.
2. The lower limit of the 95% confidence interval of the slope coefficient can be calculated by subtracting 1.96 times the standard error of the slope coefficient from the coefficient itself.
Lower limit = 0.45 - (1.96 * 0.121855) = 0.2209
Interpretation
The lower limit of the 95% confidence interval for the slope coefficient of the regression of kinesthetic VARK scores on the visual VARK scores for biology students is 0.2209. This means that we can be 95% confident that the true slope coefficient lies between 0.2209 and 0.45.
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What is the percent of change of 3.25 centimeters to 2.95 centimeters
The percentage of change is 10.17%.
What is percentage?A percentage is a number that tells us how much out of 100 and can also be written as a decimal or a fraction.
Given are the two measures 3.25 centimetres and 2.95 centimetres
The percentage change, of a quantity, is the ratio of the difference in the quantity to its initial value multiplied by 100.
Therefore, The percentage of change = [(3.25-2.95)/3.25]x100
= 0.3/3.25x100
= 10.17%
Hence, the percentage change = 10.17%
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If three hens can lay 3 eggs in 3 days how many days can 7 hens lay 7 eggs? Pls help!!
Answer:
3 days
Step-by-step explanation:
find the slope of the line thst passes through (10,2) and (1,3)
Answer: -7/1
Step-by-step explanation: When graphing both points and drawing a line through it, count how many times it goes up or down and then count how many times it goes left or right.
Please help me with my geometry work
In geometry, the ray, line, or segment that splits a given angle into two equal pieces is known as the angle bisector. ,m∠2 = 40°.
What is a straight line?An unending, one-dimensional figure with no breadth is a straight line. It consists of an infinite number of points connected on either side of a point. A straight line has a 180° measurement.
Definition of angle bisector.In geometry, the ray, line, or segment that splits a given angle into two equal pieces is known as the angle bisector. For instance, a 60-degree angle will be split into two angles of 30 degrees each by an angle bisector. Alternatively said, it divides two smaller congruent angles. Given below is an image of an angle bisector of ∠AOB.
The graphic XYQ is the straight line, m∠3 = 40°, and m∠4 = 25°. YZ is the angle bisector of ∠s.
m∠2 = 40° the reason is YZ is the angle bisector of ∠s
∠s = m∠2 + m∠3
m∠2 = m∠3
therefore m∠2 = 40°
m∠1 + m∠2 + m∠3 + m∠4 = 180° the reason is XYQ is the straight line.
substitution of all values
m∠1 + 40° + 25° + 40° = 180°
m∠1 + 105° = 180°
m∠1 = 75° (straight line, substitution of all values )
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A popular fast-food restaurant serves cheeseburgers and fries. A family meal consists of 3 cheeseburgers and 4 orders of fries for a total of 3650 calories. A deluxe family meal consists of 5 cheeseburgers and 6 orders of fries for a total of 5750 calories.
Answer:
Calories per Cheeseburger: 1250
Calories per Fries: 250
Step-by-step explanation:
Ben has a barrel in his garden to collect rainwater. The barrel can hold less than 42 gallons of water. Which inequality represents this situation? Ow> 42 Ow< 42 w² 42 Ow≤ 42
Answer: The barrel can only hold less than 42 gallons of water, which means w<42.
answer for ten points!
Answer:
try 1239128981441231241
Step-by-step explanation:
myra
find the slope of the line that passes through (8,10) and (10,7)
Answer:
slope = - [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (8, 10 ) and (x₂, y₂ ) = (10, 7 )
m = [tex]\frac{7-10}{10-8}[/tex] = [tex]\frac{-3}{2}[/tex] = - [tex]\frac{3}{2}[/tex]
Rewrite 16x4y3 − 32x3y4 using a common factor.
o find the vertex of f(x)=x2−8x+7 , there are several things you can do. You could complete the square to get the equation into vertex .
What is vertex?In geometry, a vertex is a point where two or more curves, lines, or edges meet. As a consequence of this definition, the point where two lines meet to form an angle and the corners of polygons and polyhedra are vertices.Vertex is a point on a polygon where the sides or edges of the object meet or where two rays or line segments meet. The plural of a vertex is vertices.A line segment is a part of a line. A ray is a line segment that we can extend indefinitely. When two line segments or rays meet, they form an angle.To learn more about polygons refer to:
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Karissa begins to solve the equation StartFraction one-half EndFraction left-parenthesis x minus 14 right-parenthesis plus 11 equals StartFraction one-half EndFraction x minus left-parenthesis x minus 4 right-parenthesis.. Her work is correct and is shown below.
Three lines of math. The first line, StartFraction one-half EndFraction left-parenthesis x minus 14 right-parenthesis plus 11 equals StartFraction one-half EndFraction x minus left-parenthesis x minus 4 right-parenthesis. The second line, StartFraction one-half EndFraction x minus 7 plus 11 equals StartFraction one-half EndFraction x minus x plus 4. The third line StartFraction one-half EndFraction x plus 4 equals negative StartFraction one-half EndFraction x plus 4.
StartFraction one-half EndFraction x minus 7 plus 11 equals StartFraction one-half Endfraction x minus x plus 4.
StartFraction one-half EndFraction x plus 4 equals negative StartFraction one-half Endfraction x plus 4.
When she subtracts 4 from both sides, Startfraction one-half EndFraction x equals negative StartFraction one-half EndFraction x. results. What is the value of ?
–1
–negative StartFraction one-half EndFraction
0
StartFraction one-half EndFraction. BRAINIEST
When she subtracts 4 from both side of the equation, then she gets the value of x is 0.
What is expression?Expressions means the idea of expressing numbers using letters or alphabets without specifying their actual values, the expression is the statement consisting variable, numbers, and arithmetical operation.
Given that, Karissa begins to solve the equation,
1/2(x-14)+11 = 1/2x-(x-14)
1/2x-1/2(14)+11 = -1/2x-x+4
1/2x-7+11 = -1/2x+4
1/2x+4 = -1/2x+4
1/2x+1/2x = 4-4
x = 0
Hence, When she subtracts 4 from both sides, then x = 0
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I Agree With The Other Person
What is the value of x?
Can someone help me out with this questions please?!?!
The simplified form of inequality -3x - 1 ≥ 20 is x ≤ -7.
The correct option is option (A).
What is number line?A number line is a line on which numbers are pointed at some intervals, it is used to show numerical operations.
The given inequality is,
-3x - 1 ≥ 20.
To find the right number line from the options
Solve the inequality,
Add 1 to both the sides,
-3x -1 + 1 ≥ 20 + 1
-3x ≥ 21
-x ≥ 21 / 3
-x ≥ 7
x ≤ -7
The value of x are less than or equal to -7. Implies that, in number line graph close circle.
The number line in option (A), is correct option.
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Jacob is practicing the 100 meter dash. the data shows his time in seconds. 14, 13, 13.5, 16, 14 15.5, 14.5 Which box plot shows the data?
The box plot for given minimum, maximum, median, Q1 and Q3 is plotted below.
What is a box and whisker plot?A box and whisker plot—also called a box plot—displays the five-number summary of a set of data. The five-number summary is the minimum, first quartile, median, third quartile, and maximum. In a box plot, we draw a box from the first quartile to the third quartile. A vertical line goes through the box at the median.
The given data set is 14, 13, 13.5, 16, 14, 15.5, 14.5.
Order of data is 13, 13.5, 14, 14, 14.5, 15.5, 16.
Here, minimum is 13
Maximum is 16
Median is 14
Lower quartile range(Q1) is 13.5
Upper quartile range(Q3) is 15.5
Therefore, the box plot for given minimum, maximum, median, Q1 and Q3 is plotted below.
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