Answer: B
Step-by-step explanation:
Multiply matrices
AB = [ 4 5 ] x [ 3 ]
[ 8 7 ] [ 9 ]
4 x 3 + 5 x 9 = 12 + 45 = 57
8 x 3 + 7 x 9 = 24 + 63 = 87
[ 57 ]
[ 87 ]
A pink gold bracelet weight 60 g. It i made from 76% gold, 18% copper and 6% aluminum. What i the ma of gold in bracelet?
Therefore ,A pink gold bracelet weight 60 g has 45.6g of gold .
What is percentage?A fraction of 100 is a percentage, also known as percent. Percentage, which is defined as "per 100," represents a fraction of a total sum. 45 out of 100 is what is meant by 45%, for instance. The share of a whole expressed in terms of 100 is discovered when a percentage is calculated. Calculators online or on paper can be used to determine it.
In addition to "out of 100" and "for every 100," the word "percentage" can also be used. You could, for instance, say "it snowed 20% of the time" or "it snowed 20 days out of every 100 days."
Here,
We know that,
A pink gold bracelet weight 60 g has 76% gold, 18% copper and 6% aluminum.
Therefore,
In order to calculate the weight of gold
First we obtain its percentage in bracelet
It's percentage given in question is 76%
Thus,
mass of gold will be 76% of 60g which is 0.76 * 60=45.6g
Therefore ,In pink gold bracelet has a weight of 60 g has 45.6g of gold .
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Hello solve this with steps please
Divide using polynomial long division or synthetic division
The polynomial x³ - 2x² - 13x - 10 divided by x + 2 will have quotient of x² - 4x - 5x and a remainder of zero.
How to divide the polynomial using long divisionThe polynomial x³ - 2x² - 13x - 10 divided by x + 2 as follows;
We divide the first of the polynomial x³ by x to give x²
multiply x - 1 by x² to get x³ + 2x²,
then subtract x³ + 2x² from x³ - 2x² - 13x - 10 to get -4x² - 13x - 10
divide -4x² by x to get -4x
multiply x - 1 by -4x to get -4x² - 8x
then subtract -4x² - 8x from -4x² - 13x - 10 to get -5x - 10
divide -5x by x to get -5
multiply x - 1 by -5 to get -5x - 10,
then subtract -5x - 10 from -5x - 10 to get a remainder of zero.
Therefore, the division of the polynomial x³ - 2x² - 13x - 10 by x + 2 using long division give us the quotient x² - 4x - 5x and a remainder of zero.
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Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=540(1.04)^x
The function y=540(1.04)^x represents exponential growth. The rate of increase can be determined by finding the value of 1.04^x.
For example, if x=1, then the value of 1.04^1 is 1.04, which represents a 4% increase. If x=2, then the value of 1.04^2 is 1.0816, which represents an 8.16% increase. If x=3, then the value of 1.04^3 is 1.1265, which represents a 12.65% increase.
In general, as the value of x increases, the value of 1.04^x increases at a faster rate, resulting in an exponential growth curve. The percentage rate of increase is determined by the value of 1.04. In this case, the percentage rate of increase is 4% per unit increase in x.
c g the diameters of bolts produced by a certain machine are normally distributed with a population mean of 0.600 inches and a population standard deviation of 0.002 inches. what is the probability that a randomly selected bolt will have a diameter greater than 0.604 inches? use 4 decimal places in answering.
0.0227 is the probability that a randomly selected bolt will have a diameter greater than 0.604 inches.
What is probability explained with an example?
A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
The likelihood of an event occurring increases as its probability increases. The flip of a fair (impartial) coin serves as a straightforward illustration.
The probability that randomly selected bolt will have a diameter grater than
0.60x inches.
P(x > 0.604 ) = P( x - 0.600/0.002 > 0.604 - 0.600/0.002 )
= P( Z > 2 )
= 0.02275
P(x > 0.604 ) = 0.0227
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In the figure below, a ∥
∥
b, ∠
∠
1 = 9x - 4 and ∠
∠
2 = 13x - 32. What is ∠
∠
3
Applying the corresponding angles theorem, the measure of angle 3 is: C. 121°.
How to Apply the Corresponding Angles Theorem?Using the figure below that shows that line a is parallel to line b, where angle 1 and angle 2 are corresponding angles, based on the corresponding angles theorem, the measure of angle 1 is equal or congruent to angle 2.
Given the following:
Measure of angle 1 = 9x - 4
Measure of angle 2 = 13x - 32
m<1 = m<2 [corresponding angles theorem]
Substitute
9x - 4 = 13x - 32
Solve for the value of x
9x - 13x = 4 - 32
-4x = -28
x = 7
Measure of angle 3 = 180 - (13x - 32)
Plug in the value of x
Measure of angle 3 = 180 - (13(7) - 32)
m<3 = 121°
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A table with a round top is cut in half so that it can be used against a wall. After it is cut, the edge along the wall is 6 ft
The area of the semicircle table after it is cut in half [tex]=\frac{9}{2}\pi[/tex] square units.
What is a semicircle?A semicircle is a 2 -D shape which is obtained by cutting a circle along with its diameter. a circle has 2 semicircles when it is cut along with its diameter.
What is a formula for the area of a semicircle?The formula for finding the area of a semicircle is half of the area of a circle with the same radius.
area of semicircle = [tex]\frac{\pi r^{2} }{2}[/tex] square units
Given:
A table with a round top is cut in half so now its shape is a semicircle.
After it is cut, the edge along the wall is 6 ft means that the diameter of the semicircle is = 6 ft
Diameter = 6 ft
Radius = diameter / 2
Radius = 6/ 2
Radius = 3 ft
Therefore now we can calculate the area of the table after it is cut in half
Area of the semicircle table after it is cut in half =
[tex]=\frac{\pi r^{2} }{2} \\=\frac{\pi 3^{2} }{2} \\=\frac{9\pi }{2}\\= \frac{9}{2}\pi[/tex]
The area of the semicircle table after it is cut in half [tex]=\frac{9}{2}\pi[/tex] square units.
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A table with a round top is cut in half so that it can be used against a wall. After it is cut, the edge along the wall is 6 feet. What is the area of the table after it is cut in half? Give your answer in terms of pi.
What is the value of log416?
Answer:
2
Step-by-step explanation:
log_4 (16) is a tiny math problem. It is asking 4^? = 16
See, a log is an exponent. So what power of 4 makes 16? Well, 4^2 = 16. So that means that the log_4(16) = 2
Tiny's Tattoo Parlor sold 389389 tattoos this month. 4343 of those tattoos were arm tattoos. Based on this data, what is a reasonable estimate of the probability that the next customer does not get an arm tattoo?
If the parlor sold 389389 tattoos and 4343 were arm tattoos, then the probability of next customer does not get an arm tattoos is 0.99
Total number of tattoos sold in this month = 389389 tattoos
Number of arm tattoos = 4343
Number of other tattoos = 389389 - 4343
= 385046
The probability = Number of favorable outcomes / Total number of outcomes
Substitute the values in the equation
The probability of next customer does not get an arm tattoos = 385046 / 389389
Divide the terms
= 0.99
Therefore, the probability of next customer does not get an arm tattoos is 0.99
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The area of each square is 16 square units. Find the perimeter of the figure. (see imagine attached) :)
Answer:
48
Step-by-step explanation:
If the area of each square is 16, then each side length has side length of 4 because the area of a square is:
[tex]s^2=A[/tex]
[tex]s^2=16\\s=4[/tex]
Each of the outer edges has 4+4+4 and there are four of them so:
[tex](4+4+4)*4=48[/tex]
write y+1=-1/4(x-3) in standard form
Step-by-step explanation:
Tha answer in standard form is x + 4y = -1
Help me with ixl please
Answer:
∠BFC ≅ ∠DFE and DFC (BFC IS CONGRUENT TO DFE AND DFC)
Step-by-step explanation:
∠BFC and DFE are vertical angles which are equal ( OR CONGRUENT)
∠BFC and DFC are supplementry meaning the angles add upp to 180°. The square in ∠BFC shows that it is 90°. So then, angle DFC must be 90° because 180°-90° is 90°.
So ∠DFC and ∠DFE ≅ to ∠BFC
What is the slope of a line parallel to the line whose equation is 12x+2y=24Fully simplify your answer.
Answer:
The slope is -6
Step-by-step explanation:
12x+2y=24
We want to find the slope of a line that is parallel to this line.
Parallel lines have the same slope, so we need to find the slope of this line.
We can get this equation in slope intercept form to find the slope
y = mx+b where m is the slope
Subtract 12x from each side
2y = -12x+24
Divide each side by 2
y = -12x/2 +24/2
y = -6x+12
The slope is -6
8. Name the solution.
y = x +2
x - y = -2
The solution of the system of equations y = x + 2 and x - y = -2 is (c) infinite many solutions
How to determine the solution of the equation?From the question, we have the following parameters that can be used in our computation:
y = x + 2
x - y = -2
Substitute the equation y = x + 2 in the equation x - y = -2
So, we have the following representation
x - (x + 2) = -2
Open the bracket in the above equation
So, we have the following representation
x - x - 2 = -2
Evaluate the like terms in the above equation
So, we have the following representation
-2 = -2
Both sides of the above equation are the same
This means that the equation has a lot of solution
In other words, the equation has infinite many solutions
Hence, the solution is (c) infinite many solutions
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Find an equation for the perpendicular biector of the line egment whoe endpoint are (7,-1) and (-9,-5)
Perpendicular bisector passes through midpoint of the line joining the given two points so the equation for this perpendicular bisector of the line segment whose endpoint are (7,-1) and (-9,-5) is 4x-y=29.
What is a bisector of a line?To divide a segment or an angle into two congruent sections is to bisect it. The midpoint of a line segment will be traversed by its bisector. A line segment's perpendicular bisector is parallel to the line segment and passes through its midpoint.
Is a bisector always a straight line?A straight line called a bisector divides an angle or a line into two equal pieces. The bisector of a segment always travels through the middle of the segment.
For this problem you have to find the mid point of the line joining
the given points and also the slope of the perpendicular line.
Here, A(7,-1) and B(-9,-5) are the given two points.
let
C is the mid point and CD is the perpendicular through C
Midpoint of AB=[x1+x2)/2,(y1+y2)/2]
C=((7-9)/2,(-1-5)/2)
C=(-1,-3)
Slope of AB=(y2−y1)/(x2−x1)
=(-5+1)/(-9-7)
=4/16
=1/4
Slope of CD=4
Equation of line;
(y−y1)=m(x−x1)
(y+1)=4(x−7)
Y+1=4x-28
4x-y=29
this is our required solution.
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Write an equation in slope-intercept form using the points given. (0, 2) and (1, -3) Quick
The required equation of line is y = -5x + 2.
What is equation of line in slope intercept form?
The equation of a line in slop intercept form is an equation of the form
y = mx + c . Where m is the slope of the line and c is the intercept of the line on the Y-axis.
Given,
Line passes through (0,2)
Therefore, (2) = m(0) + c
or 2 = c
Also, the line passes through (1,-3)
Therefore, (-3) = m(1) + 2
or m = -3 - 2
m = -5
Hence, the required line is y = -5x + 2.
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If m is a real number such that m² + 1 = 3m , the value of [tex]\frac{2m^{5} - 5m^{4} + 2m^{2} - 8m^{2} }{m^{2} + 1 }[/tex]
The required solution of the given expression is 1/3 [m²-2m-6].
Given that,
To simplify the [2m⁵ -5m₄ +2m² -8m²]/[m²+1], when m² + 1 = 3m.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
= [2m⁵ -5m₄ +2m² -8m²]/[m²+1]
When substituting the value m² + 1 = 3m in the above expression we get.
= m/3 [m²-2m-6]
Thus, the required solution of the given expression is 1/3 [m²-2m-6].
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NEED ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!
Triangle A C F is shown. Lines are drawn from each point to the opposite side and intersect at point D. Line segments A E, F B, and C G are formed. The length of line segment A D is 12 and the length of line segment D E is 4.
Based on the diagram, can point D be the centroid of triangle ACF? Explain.
Yes, point D is the point of intersection of segments drawn from all three vertices.
Yes, DE is three-quarters of the length of the full segment.
No, DE should be longer than AD.
No, the ratio between AD and DE is 3:1.
Answer: No, the ratio between AD and DE is 3:1.
Step-by-step explanation:
The centroid splits the median in a 2:1 ratio from vertex to side.
Answer:
It is letter D; No, the ratio between AD and DE is 3:1.
Step-by-step explanation:
A multiple-choice quiz has 5 questions. Each question has 3 possible answers. A student guesses the answer to each question. Find the probability that the student answers at least 1 question correctly.
The probability that the student answers exactly 1 question is 0.166.
What is the binomial coefficient?
In combinatorics, the binomial coefficient is used to denote the number of possible ways to choose a subset of objects of a given numerosity from a larger set.
There are [tex]3^5 = 243[/tex] possible ways that the student can answer the quiz.
To answer exactly 1 question correctly, the student must answer 4 questions incorrectly and 1 question correctly. There are 5 ways to choose which question the student gets correct, and for each of these ways, there are [tex]3^4 = 81[/tex] ways for the student to answer the remaining questions. Therefore, there are a total of 5*81 = 405 ways for the student to answer exactly 1 question correctly.
Thus, the probability that the student answers exactly 1 question correctly is 405/243 = approximately 0.166.
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What is the answer i need answers now I'm am going to fail
pls explain to
Answer:
Yes, the runners number of strides will fit evenly into the length of the race.
Step-by-step explanation:
The bridge is 138,435 feet. You would divide this to get 46,145 as a whole number.
Answer:
Step-by-step explanation:
You are dividing 138435 by 3.
The quotient would be 46145 with no remainder. So the answer would be yes.
A 2nd way to do this is to see if 183435 is a multiple of 3.
Hope this helps!
Have a great day!
What is the rate of change of y with respect to x?
The rate of change of y with respect to x will be;
⇒ 10
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The table is shown in figure.
Now,
Since, The table is shown in figure.
Let two points from the table as;
(x, y) = (- 8.5 , - 92) (- 6.5, - 72)
We know that;
⇒ Rate of change = dy/dx = (y₂ - y₁) / (x₂ - x₁)
Substitute all the values we get;
⇒ Rate of change = (- 72 - (-92)) / (- 6.5 - (-8.5))
= 20 / 2
= 10
Thus, The rate of change of y with respect to x will be;
⇒ 10
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what is the answer i need answers now I will fail
The amount of fruit juice(orange, grape, cherry) used in the punch is 14 cups. So, option D is correct.
What is meant by mixed fraction?A mixed fraction is one that is represented by both its remainder and quotient. Two is the quotient and one is the remainder in the mixed fraction 2/3, for instance.
You can write mixed numbers with or without the word "and," for example, 5 and 3/4 . The mixed number must have a valid fraction as its fractional component. A correct fraction, such as 37, has a numerator that is less than the denominator.
Given,
The amount of orange juice= 3 [tex]\frac{1}{3}[/tex] cups
The amount of grape juice=6 [tex]\frac{1}{2}[/tex] cups
The amount of cherry juice= 4 [tex]\frac{1}{8}[/tex] cups
The amount of club soda=1 [tex]\frac{1}{4}[/tex] cups
So, 3 [tex]\frac{1}{3}[/tex]+6 [tex]\frac{1}{2}[/tex] + 4 [tex]\frac{1}{8}[/tex]
=(10/3)+(13/2)+(33/8)
=(10/3)+(13/2)+(33/8)
=(80+156+99)/24
=335/24
=13.95
≈14 cups approximately
Therefore, the amount of fruit juice(orange, grape, cherry) used in the punch is 14 cups.
So, option D is correct.
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This is a multiple choice question
The area under the standard normal curve corresponding to -0.3 < Z < 1.6 is…?
A. 0.3273
B. 0.4713
C. 0.5631
D. 0.9542
Answer:
Option (A) and (B)
Step-by-step explanation:
The area under the standard Normal curve corresponding to –0.3 < Z < 1.6 is answer choices 0.3273, and 0.4713.
Area = 0.3273. Ergo, the answer is A.
Step-by-step explanation:
0.9953/2 - 0.3085/2
Hahid bought 80 banana at the rate of 4 banan ,for r 5 and old at the rate of 5 bana for r 8
The profit won by Hahid is 28 rupees
What is a simple definition of profit?Profit is the term used to describe the financial gain experienced when the revenue from a business activity outweighs the costs, costs, and taxes incurred to maintain the activity in question.
What are the 3 types of profit?There are three main measures of profit. These are gross profit, operating profit and net profit.
According to given question:-
The total amount with which Hahid bought the bananas are
(5/4)*80=100
The total amount with which Hahid sold the bananas are
(8/5)*80=128
The profit got by Hahid is 128-100=28
Hence the solution is 28
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Write an equation in lope intercept form and in tandard form for (-2,6) and parallel to x3y=5
Equation in slope intercept form and in standard form for (-2,6) and parallel to x3y=5 will be x + 3y = 10
Given equation => x + 3y = 5
3y = -x + 5 so, we have to write it in the equation form,
y = -(1/3)x + 5/3
slope = -1/3 Parallel lines have the same slope.
Now, you have a point and a slope, so use the Point-Slope form of the equation of a line.
y - y1 = m(x - x1) , by using the equation of line
y - 6 = (-1/3)(x - 2), then we get
y - 4 = (-1/3)x + 2/3
y = (-1/3)x + 3 1/3 Slope-intercept Form
(1/3)x + y = 10/3 Multiply both sides by 3.
x + 3y = 10 Standard form
So, the equation is x + 3y = 10
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Correct answer needed thankyou!!!
The inequality shown by the graph in the question, found by finding the equation for the line of the inequality and taking note of the dashed line and the shaded region, is; y > 2·x - 4
What is an inequality?An equality is a comparison between two expressions that have different values, by joining them with the use of symbols including '<', '≤', '≥', '>', '≠'
Two points on the graph that can be used to find the equation of the line of the inequality are;
(4, 4), and (2, 0)The slope, m, of the line found from the above two points on the line is therefore;
m = (0 - 4)/(2 - 4) = 2
The equation of the line in point-slope form is therefore;
y - 0 = 2·(x - 2) = 2·x - 4
The equation of the line of the inequality is therefore;
y = 2·x - 4
The dashed line and the shaded region indicates that we get;
y > 2·x - 4
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Write an equation in slope-intercept form of the line that passes through the points (2, 15) and (5, 21).
The equation of the line that passes through the points (2, 15) and (5, 21) is y = 2x + 11
The coordinates of the first point = (2, 15)
The coordinates of the second point = (5, 21)
The slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Substitute the values in the equation
The slope of the line = (21-15) / (5-2)
= 6 / 3
= 2
The slope intercept form is
y = mx + b
Substitute the values
15 = 2(2) + b
15 = 4 + b
b = 15 - 4
b = 11
Substitute the values in the equation
y = 2x + 11
Therefore, the equation of the line in slope intercept form is y = 2x + 11
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9. There are 9 apples in a bag; 5 are red and 4 are yellow. Two apples are selected at random, one after another without
replacement, and the color of each is noted. Find the probability that the second apple is red.
A. 5/9
B. 5/18
C. 1/6
D. 3/8
E. 1/2
F. None of these.
Answer:
I believe the answer is D. 3/8
Thomas is facing towards town A, which is at a bearing of 300° from him. If he turns 125° clockwise, he will be facing towards town B. What is the bearing of town B from Thomas?
The required bearing angle of town B from Thomas is 65°.
Bearing is basically an angle that is measured clockwise from the north. Bearing are generally written in three figure.
Given that Thomas is facing towards town A, which is at a bearing of 300°.
Implies that town A is 300° from north.
If Thomas turns 125° clockwise, then he faces towards town B,
The bearing angle will be 300+125 = 425°
Since, one complete round makes angle 360°, therefore
The required bearing angle = 425 - 360 = 65
The bearing angle of town B from Thomas is 65°.
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Please help it about calculus
The total distance travelled by the particle is 24 units.
What is displacement?
Displacement is defined as a change in an object's position. An object's displacement is defined as how far it has moved from its starting point. The dependent variable in the displacement time graph is displacement, which is represented on the y-axis, and the independent variable is time, which is represented on the x-axis. Position-time graphs are another name for displacement time graphs.
The displacement curve is given for 0 ≤ t ≤ 18.
We need to find the total distance of the curve, it will be the positive sum of all displacements.
So, total distance = (7-0) + (3-0) + (2+3) + (2+4) + (7-4)
= 7 + 3 + 5 + 6 + 3
= 24
Hence, the total distance is 24 units.
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When adding , what step must be completed first? finding the least common denominator. Reducing the fractions. Adding the numerators, but keeping the denominators. Adding the denominators, but keeping the numerators.
The least common factor of 3 and 5 was chosen as the first step in order to combine the fractions 2/3 + 4/5, leading to option (A) Finding the least common denominator.
What is the lowest common multiple?The smallest multiple that any two numbers have in common is called the lowest common multiple.
It implies that we can divide both numbers by that and that this is the lowest number by which both numbers may be divided.
The LCM of 2 and 8 is 8, for instance.
So, using the two fractions provided:
2/3 + 4/5
15 is the least frequent factor between 3:
(10 + 12)/15
Thus, we used LCM in the first phase.
Therefore, the least common factor of 3 and 5 was chosen as the first step in order to combine the fractions 2/3 + 4/5, leading to option (A) Finding the least common denominator.
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Complete question:
When adding 2/3 + 4/5, what step must be completed first?
A)Finding the least common denominator.
B)Reducing the fractions.
C)Adding the numerators, but keeping the denominators.
D)Adding the denominators, but keeping the numerators.