To find the percentage of red marbles in Janelle's bag, we can use the formula: percentage = (part/whole) x 100
In this case, the "part" refers to the number of red marbles (27), and the "whole" refers to the total number of marbles (90).
So, the percentage of red marbles can be calculated as:
percentage = (27/90) x 100 = 30%
Therefore, 30% of the marbles in Janelle's bag were red.
To explain further, we can say that Janelle received a total of 90 marbles, and out of these, 27 were red. To find the percentage of red marbles, we divided the number of red marbles (27) by the total number of marbles (90) and multiplied by 100 to express the answer as a percentage. This calculation shows that 30% of the marbles in Janelle's bag were red.
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Frozen yogurt costs $0.52 per ounce. What is the cost of 8 ounces of frozen yogurt?
$
Answer:
$4.16
Step-by-step explanation:
To find out how much 8 ounces of frozen yogurt costs if each ounce costs $0.52, we can use an equation that looks like this:
0.52 × 8 = 4.16Therefore, for 8 ounces of yogurt is will cost $4.16.
Mary has 3 rolls of wallpaper. Each roll can cover 127.8 sq ft. If Mary uses all 3 rolls of wallpaper how much sq ft would it cover? O 42.6 sq ft O 383.4 sq ft O 124.8 sq ft O 3834 sq ft
Answer:
383.4
Step-by-step explanation:
127.8 * 3
300 + 60 + 21 + 2.4
383.4
if i had 2 cookies and one of my friends asked for 1, then another friend asked for 1, then another friend asked for one. what do i do?
there is 4 poeple so break both in half and everyone gets half a cookie
send help pleeeaasse. if:
\(p = {b}^{x}\)
\(q = {b}^{y} \)
\( {b}^{2} = ( {p}^{y} \times {q}^{x} )^{z} \)
x.y.z equals to...?
x .y .z = 1 is the value of Algebraic functions.
What is Algebraic functions?
A function that satisfies is said to be algebraic if it has integer coefficients and is a polynomial in the variables and. Algebraic functions include inverses of those that can be created using a small number of elementary operations as well as those that can be created using only those operations.\(P = b^{x}\)
\(q = b^{y}\)
\(b^{2} = (p^{y} * q^{x} )^{z}\)
\(b^{2} = ( (b^{x} )^{y} * ( b^{y})^{x} )^{z}\)
\(b^{2} = ( (b^{xy} * b^{xy} )^{z}\)
\(b^{2} = ( b^{xy + xy} )^{z}\)
\(b^{2} = (( b)^{2xy} )^{z}\)
\(b^{2} = ( b)^{2xyz}\)
now compare the power
2 = 2xyz
x .y .z = 1
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V = √3 3-x² S -√√3-√3-x²1 4-x²-y² dzdydx
The value of the given integral is: v = [(4√(3) - 5)π/3]
To evaluate the given integral, let's calculate it step by step:
First, let's integrate with respect to z from 1 to √(4 - x² - y²):
∫[1, √(4 - x² - y²)] dz = √(4 - x² - y²) - 1
Next, let's integrate the above expression with respect to y from -√(3 - x²) to √(3 - x²):
∫[-√(3 - x²), √(3 - x²)] (√(4 - x² - y²) - 1) dy
To simplify the integration, let's convert to polar coordinates:
x = r cosθ
y = r sinθ
The bounds of integration in polar coordinates will be:
r: 0 to √(3)
θ: 0 to 2π
Now, we can rewrite the integral in terms of polar coordinates:
∫[0, 2π] ∫[0, √(3)] (√(4 - r²) - 1) r dr dθ
Evaluating the inner integral with respect to r:
∫[0, 2π] [(-1/3) (4 - r²)\(^{3/2}\) - (1/2) r²] | [0, √(3)] dθ
∫[0, 2π] [(2√(3)/3) - (1/3)(4 - 3)\(^{3/2}\) - (1/2)(√(3))²] dθ
Simplifying further:
∫[0, 2π] [(2√(3)/3) - (1/3) - (3/2)] dθ
∫[0, 2π] [(2√(3)/3) - (5/6)] dθ
Now, integrating with respect to θ:
[(2√(3)/3)θ - (5/6)θ] | [0, 2π]
[(2√(3)/3)(2π) - (5/6)(2π)] - [(2√(3)/3)(0) - (5/6)(0)]
[(4√(3)/3)π - (5/3)π] = [(4√(3) - 5)π/3]
Therefore, the value of the given integral is: v = [(4√(3) - 5)π/3]
Complete Question:
Evaluate the integral:
v = ∫∫∫ [−√3, √3] [−√(3−x²), √(3−x²)] [1, √(4−x²−y²)] dz dy dx
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Each leg of a 45°-45°-90° triangle measures 12 cm. Triangle X Y Z is shown. Angle X Y Z is a right angle and angles Y Z X and Z X Y are 45 degrees. The lengths of sides Z Y and Y X are 12 centimeters. What is the length of the hypotenuse? 6 cm 6 StartRoot 2 EndRoot cm 12 cm 12 StartRoot 2 EndRoot cm
Answer:
Length of hypotenuse \(12\sqrt2\) cm.
Step-by-step explanation:
We are given with a right angled triangle which has angles 45°-45°-90° and sides as 12 cm each.
Following labeling of dimensions is provided:
\(\angle XYZ = 90^\circ\\\angle YZX = 45^\circ\\\angle ZXY = 45^\circ\)
Sides:
ZY = 12 cm
YX = 12 cm
Please refer to the image attached as well.
To find: The hypotenuse, XZ = ?
It is well known that if the triangle is a right angled triangle, the pythagorean theorem holds well. As per the theorem:
\(\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Height}^{2}\\\)
Here, Base is ZY = 12 cm
Height, YZ = 12 cm
And Hypotenuse XZ is to be calculated.
Putting the values:
\(XZ^2=12^2+12^2\\\Rightarrow XZ^2=144+144\\\Rightarrow XZ=\sqrt{144+144}\\\Rightarrow XZ=\sqrt{288}\\\Rightarrow XZ=12\sqrt{2}\ cm\)
So, the answer is Hypotenuse, XZ = \(12\sqrt{2}\ cm\).
Answer:
D
Step-by-step explanation:
The area of a kite is 51. 68 square inches. One diagonal measures 15. 2 inches. What is the measure of the other diagonal? 3. 4 inches 6. 8 inches 13. 6 inches 15. 2 inches.
The measure of the other diagonal line is 6.8 inches
A kite is a quadrilateral with two distinguishable consecutive sides. The area of a kite can be calculated by the multiplication of the two diagonal lines divided by 2.
Mathematically, we have:
\(\mathbf{A = \dfrac{pq}{2}}\)
where:
A = area of the kite = 51.68 inches²Let the first diagonal length be p = 15.2 inchesThe other diagonal length q = ???∴
Using the formula for an area of a kite to determine the other diagonal length, we have:
\(\mathbf{51.68 \ inches^2 = \dfrac{15.2 \ inches \times q}{2}}\)
\(\mathbf{q = \dfrac{51.86 \ inches^2 \times 2}{15.2 inches} }\)
q = 6.8 inches
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a) What is the correct postfix expression of the given infix expression below (with single digit numbers)? (2+4*(3-9)*(8/6)) a. 2439-*86/" + O b. 2439-+*86/* O c. 2439-**86/+ O d. 2439-*+86/* b) Consider implementing heaps by using arrays, which one of the following array represents a heap? O a. [30,26,12,23,10,8] O b. (18,12,13,10,11,16] Oc. (30,26,12,13,10,18] O d. [8,12,13,14,11,16] c) Which of the following is wrong, after each iteration of quick sorting? O a. Elements in one specific (e.g. right) portion are larger than the selected pivot. O b. The selected pivot is already in the right position in the final sorting order. Oc. Elements in one specific (e.g. left) portion are smaller than the selected pivot. O d. None of the other answers d) Which of the following is used for time complexity analysis of algorithms? O a Counting the total number of all instructions O b. Counting the total number of key instructions None of the other answers O d. Measuring the actual time to run key instructions
a) The correct postfix expression of the given infix expression (2+4*(3-9)*(8/6)) is option a) 2439-*86/+. It represents the expression in postfix notation where the operators follow their operands.
b) The array [30,26,12,13,10,18] represents a heap. It satisfies the heap property, where the parent node is always greater (or smaller) than its child nodes, depending on whether it is a max-heap or min-heap.
c) After each iteration of quick sorting, option b) "The selected pivot is already in the right position in the final sorting order" is wrong.
Quick sorting involves selecting a pivot element and partitioning the array such that all elements less than the pivot are on one side, and all elements greater than the pivot are on the other side.
The pivot element itself may not be in its final sorted position after each iteration.
d) The correct answer for the method used for time complexity analysis of algorithms is option b) "Counting the total number of key instructions." Time complexity analysis focuses on determining the efficiency of an algorithm by measuring the growth rate of the number of key instructions, which are the most significant instructions that contribute to the overall running time of the algorithm.
Counting the total number of all instructions may not accurately reflect the actual performance of the algorithm, and measuring the actual time to run key instructions may vary depending on the hardware and system conditions.
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Simplify the expressions using the distributive property.8(7x + 3)5(5y - 2)
Simplify the expressions by using the distributive property.
\(\begin{gathered} 8(7x+3)=8\cdot7x+3\cdot8 \\ =56x+24 \end{gathered}\)For second expression,
\(\begin{gathered} 5(5y-2)=5\cdot5y+5\cdot(-2) \\ =25y-10 \end{gathered}\)The Space Needle is 605 feet tall. A model of the building is 15 inches tall. What is the ratio of the height of the model to the height of the actual Space Needle?
A. 12:484
B. 1:484
C. 484:12
D. 484:1
And can u please show how to solve it? :)
Answer:
B. 1:484
Step-by-step explanation:
You want the scale of a 15-inch model that represents a 605-foot building.
ScaleThe scale is the ratio of the model distance to the corresponding real-world distance. To express the scale as a ratio or fraction without units, the measures being compared must have the same units.
scale = 15 in : 605 ft = 15 in : (605 ft · 12 in/ft) = 15 : 7260
scale = 1 : 484
The ratio of heights is ...
B. 1:484
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A landscaping business is purchasing plants from a nursery to finish a project. It will cost $14 each to buy each tree and $5 each to buy each bush. The landscaper wishes to keep the spending under $1,000.
Write an inequality that represents the above situation where x represents the number of trees and y represents the number of bushes.
Group of answer choices
14x+5y>1000
x+y>19
14x+5y<1000
x+y<1000
Answer:
14x+5y<1000
Step-by-step explanation:
We collect these data from 50 male students. Which variable is categorical? a. number of cigarettes smoked daily b. head circumference
c. hours of homework last week d. eye color e. number of TV sets at home
Determine the scale factor.
Pre-Image: (-5, 3), (-2, 3), (-2, 1), (-5, 1)
Image: (-10, 6), (-4, 6), (-4, 2), (-10, 2)
The required scale factor with respect to the pre-image and image is equal to 2.
What is scale factor?In Geometry, a scale factor is the ratio of two corresponding side lengths or diameter in two similar geometric figures, which can be used to either vertically or horizontally enlarge or reduce a function representing their size.
In Mathematics, the scale factor of any geometric figure can be calculated by using this mathematical expression:
Scale factor = Dimension of image/Dimension of pre-image
Substituting the given parameters into the scale factor formula, we have the following;
Scale factor = -10/-5 = -4/-2
Scale factor = 2.
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What is the equation of the line that is parallel to the
given line and passes through the point (-4,-6)?
O x=-6
O x=-4
O y=-6
O y=-4
An equation of the line that is parallel to the given line and passes through the point (-4,-6) is: C. y = -6.
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.Since the line is a horizontal line and it is parallel to the other line, their slopes are equal to 0.
At data point (-4, -6) and a slope of 0, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - (-6) = 0(x - (-4))
y + 6 = 0
y = -6
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Answer: y =-6
Step-by-step explanation:
Select the correct answer. the data set shows the ages of the members of a book club. what is the shape of the distribution of this data set? 19, 21, 18, 19, 16, 21, 20, 17, 16, 17, 20, 18
Lab Data -X Preparation of stock solution
The preparation of a stock solution is an important process in chemistry. A stock solution is a concentrated solution that is diluted to create a less concentrated working solution.
In the lab, the preparation of stock solutions is important to ensure that precise and accurate measurements are obtained. Lab data refers to the information that is collected during an experiment, such as measurements, observations, and calculations. The lab data for the preparation of a stock solution may include the initial mass or volume of the solute, the final mass or volume of the solution, and the concentration of the solution.
The following steps can be used to prepare a stock solution: 1. Calculate the mass or volume of the solute needed to create the desired concentration.2. Weigh or measure the solute and add it to a volumetric flask.3. Add water or solvent to the flask until the volume reaches the calibration mark.4. Mix the solution thoroughly to ensure that the solute is completely dissolved.5. Label the flask with the contents, concentration, and date.
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Find the measure of the missing angle *
Answer:
68 degree
Step-by-step explanation:
Please mark as brainliest
Louisa biked 50 4/5 miles in 4 hours. How many miles did she bike per hour? Let m represent the number of mile.
Answer:
63.5
Step-by-step explanation:
you first put 50 4/5 into an improper fraction
so its 254/5 divided by 4/1
63.5/1
which is 63.5 which is miles per hour
hope this helps
what is the mode? please explain
Answer:
78
Step-by-step explanation:
The median in a stem-and-leaf diagram is the number that is repeated the most. In this case, the number 78 is repeated 4 times (7 | 8 8 8 8). No other number in the diagram is repeated as much or more than the number 78.
Do not make the mistake of writing the answer as 8 instead of 78.You also want to make sure you don't accidently count 68 which is repeated twice (by looking at the 8's at the end and thinking it's part of the all/rest of the 8's in the diagram).
Hope this helps :)
How to graph it on a coordinate plan to the right 5x-3y=18
Tο shift the graph tο the right, we can simply add a pοsitive cοnstant tο the x values οf each pοint befοre plοtting them. Fοr example, if we want tο shift the graph tο the right by 2 units.
What is cοοrdinate plan?The intersectiοn οf twο number lines creates a twο-dimensiοnal plane knοwn as a cοοrdinate plane. The x-axis, a hοrizοntal number line, and the y-axis, a vertical number line, are twο examples οf these number lines.
Tο graph the equatiοn 5x - 3y = 18 οn a cοοrdinate plane, we can fοllοw these steps:
1. Sοlve fοr y in terms οf x:
5x - 3y = 18
-3y = -5x + 18
y = (5/3)x - 6
2. Chοοse sοme values fοr x and use the equatiοn tο find the cοrrespοnding y values. Fοr example, we can chοοse x = 0, 3, and 6:
When x = 0: y = (5/3)(0) - 6 = -6
When x = 3: y = (5/3)(3) - 6 = -3
When x = 6: y = (5/3)(6) - 6 = 2
3. Plοt the pοints (0, -6), (3, -3), and (6, 2) οn the cοοrdinate plane.
4. Draw a straight line passing thrοugh these three pοints. This line represents the graph οf the equatiοn 5x - 3y = 18.
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I need help Quickly please! (20 points)
The table shows the relationship describe the in the equation is B
How to determine which table shows the relationship describe the in the equation?In order to determine which table shows the relationship describe the in the equation, we need to find the slope of each table.
Slope is given by Slope = (y2-y1)/(x2-x1)
where (x1, y1) and (x2, y2) are any two corresponding values on the table
For A:
Slope = (16.98-7.99)/(2-1) = 8.99
y= 8.99x
For B:
Slope = (15.98-7.99)/(2-1) = 7.99
y = 7.99x
For C:
Slope = (32.96-7.99)/(4-1) = 8.32
y = 8.32x
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3. What is the value of x in the figure
below?
Answer:
3 = 14 and 4 = 8
Step-by-step explanation:
The reason as to why this is, is because of the line going down the middle. If you were to open one of the lengths as a door starting from the middle line it would fit perfectly with the top one.
angle 1, angle2, and angle3 form a straight line. if m angle3 is six more than twice measure angle 1 and measure angle2 is 27 less than measure angle3, find measure angle2
Since, the angle 3 measures 84 degrees (2(39) + 6), and angle 2 measures 57 degrees (2(39) + 6 - 27). Therefore, the measure of angle 2 is 57 degrees.
To solve this problem, we can use the fact that angles on a straight line add up to 180 degrees. Let's call the measure of angle 1 "x". Then, we know that the measure of angle 3 is 6 more than twice "x", or 2x + 6. We also know that the measure of angle 2 is 27 less than angle 3, or 2x + 6 - 27. Finally, we can set up an equation using the sum of the angles on the straight line, and solve for "x" to find the measure of angle 2.
Let's call the measure of angle 1 "x". Then, we know that the measure of angle 3 is 6 more than twice "x", or 2x + 6. We also know that the measure of angle 2 is 27 less than angle 3, or 2x + 6 - 27.
Using the fact that the three angles form a straight line, we can write the equation:
angle1 + angle2 + angle3 = 180
Substituting in the values we know, we get:
x + (2x + 6 - 27) + (2x + 6) = 180
Simplifying this equation, we get:
5x - 15 = 180
Adding 15 to both sides, we get:
5x = 195
Dividing both sides by 5, we get:
x = 39
Therefore, the measure of angle 1 is 39 degrees. Using the expressions we found for the other angles, we can find that angle 3 measures 84 degrees (2(39) + 6), and angle 2 measures 57 degrees (2(39) + 6 - 27). Therefore, the measure of angle 2 is 57 degrees.
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Translate the statement five times the difference of a number and 3 is 17
Answer:
5(n-3)=17
Hope this Helps!
n is the variable I chose I didn't know if their had to be a specific one.
Step-by-step explanation:
PLEASE HELP!!!! Explain why a quadratic equation with a positive discriminant has two real solutions, a quadratic equation with a negative discriminant has no real solution, and a quadratic equation with a discriminant of zero has one real solution.
Hey there! I'm happy to help!
In the quadratic formula, the discriminant is square rooted. In this formula you have a ± before this radical. If the discriminant is positive, the solution can be either subtracting or adding the number, so there are 2 real solutions.
If it is 0, subtracting or adding are the same, so there will be just one solution.
You cannot have a negative square root. It is impossible with real numbers, so there are no real solutions.
I hope that this helps! Have a wonderful day! :D
The zeroes based on nature of discriminant is described below.
We know that,
A quadratic equation is of the form ax + bx + c = 0,
Where a, b, and c are constants and x is the variable.
The discriminant of a quadratic equation is given by the expression,
⇒ b² - 4ac.
If the discriminant is positive (b² - 4ac > 0),
Then the quadratic equation has two real solutions.
This is because the quadratic formula, which gives the solutions of the quadratic equation, involves the square root of the discriminant.
Since the discriminant is positive, the square root is a real number, resulting in two distinct real solutions.
If the discriminant is negative (b² - 4ac < 0),
The square root of the discriminant is an imaginary number since it involves a negative integer's square root.
Given that the discriminant is a component of the quadratic formula,
if it is negative, the quadratic formula will include computing the square root of a negative integer, which is not a real number.
This is due to the fact that solving the quadratic equation requires obtaining the square root of the discriminant, and a negative square root is not a real integer.
In conclusion, there are no actual solutions to a quadratic equation with a negative discriminant since the solutions entail calculating the square root of a negative.
When the discriminant is zero,
it means that the quadratic equation has only one solution, which is a real number.
This is because the quadratic formula for finding the solutions of the quadratic equation reduces to a simpler formula when the discriminant is zero. Specifically,
The quadratic formula becomes,
x = -b/2a This formula gives us the only solution of the quadratic equation when the discriminant is zero.
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I begggggg Pls help asappppppp !!!!!!!
Answer:
Translation, then reflection. E
Step-by-step explanation:
E is correct because 1 and 2 have a reflection meanwhile number 3 has a translation.
students at city middle school rent a popcorn machine for a school event.the event will last 8 hours.two companies rent popcorn machines. company A charges $14 pr delivery fee and $8 per hour. company B uses the cost function:C(x)=10x + 10.which is the better value
The company that has a better value is: company A.
What is the slope-intercept form?In Mathematics, the slope-intercept form of a line can be calculated by using this linear equation:
y = mx + c
Where:
x represents the number of hours.y represents the total fee.m represents the slope of a line.c represents the y-intercept of a line.Since the total fee that is being charged by company A is denoted by C(x) and it charges $14 per delivery fee and $8 per hour, an equation that models this situation is given by;
C(x) = 8x + 14
When hours, x = 8 hours, the total fee is given by:
C(8) = 8(8) + 14
C(8) = $78.
For company B, the total fee is given by:
C(x) = 10x + 10
C(8) = 10(8) + 10
C(8) = $90.
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Find x and y!! 20 points
Answer:
x is 75 degrees and y is 43 degrees
Step-by-step explanation:
Plane W and Plane B intersect at which following?
Answer Choices:
A. Line a
B. Line t
C. They do not appear to intersect
D. Line p
Answer:
the answer is (d)!! hope this helps
Step-by-step explanation:
a church offering last sunday was $6,500.one year ago it was $4,800.last sunday's offering is what percent of the one a year ago?round to the nereast percent
Answer:
135%
Step-by-step explanation:
To find the percentage of last Sunday's offering compared to the offering from a year ago, we can use the following formula:
percentage = (last Sunday's offering / offering from a year ago) x 100%
Plugging in the given values, we get:
percentage = (6,500 / 4,800) x 100%
percentage = 1.35416666667 x 100%
percentage = 135.42%
Rounding to the nearest percent, we get:
percentage = 135%
Therefore, last Sunday's offering was 135% of the offering from a year ago.
Answer:62.5%
I think this is the answer it might not be, if not i am so sorry.