The matrix C shows the inventory of the three products for the three Sports Equipment Corporation stores at the end of July. The value of the entry represented by c22 is 389, which is the value for Store B for Y in Table B.
Table C: Ending Inventory
Product Store A Store B Store C
X 441 278 546
Y 266 389 360
Z 322 814 330
The value of the entry represented by c22 is 389, which is the value for Store B for Y in Table B.
The maximum possible value that a31 can have is 903, which is the value for Store C for Z in Table A.
The value of the entry represented by c22 in the matrix C that shows the inventory at the end of July is 389, and the maximum possible value that a31 can have is 903.
The matrix C shows the inventory of the three products for the three Sports Equipment Corporation stores at the end of July. The value of the entry represented by c22 is 389, which is the value for Store B for Y in Table B. The maximum possible value that a31 can have is 903, which is the value for Store C for Z in Table A. This value indicates that the maximum number of units of Product Z that can be stored in Store C is 903. In summary, the value of c22 in the matrix C is 389, and the maximum value of a31 is 903.
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PLEASE HELP ME :((((
Jaya has a points card for a movie theater.
• She receives 85 rewards points just for signing up.
• She earns 8. 5 points for each visit to the movie theater.
• She needs 153 points for a free movie ticket.
Equation :
Answer v=
The number of visits Jaya can make to earn his first free movie ticket is 8
Total reward points received for signing up by Jaya = 85 rewards point
Total reward points received for each visit to the theatre by Jaya = 8.5 rewards point
Total reward points needed to Jaya for getting a free movie ticket = 153 rewards point
Let x represents the number of visits to the movie theatre
According to the question,
We can write it as:
85 + 8.5x ≥ 153 ------(i)
Now subtract 85 from both the side of equations,
We will get it as follows:
85 + 8.5x - 85 ≥ 153 - 85
8.5x ≥ 68
Further solving we will get it as:
x ≥ (68/8.5) ≥ 8
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Law of sines: Which measures are accurate regarding triangle JKL? Check all that apply. M∠K = 84° m∠K = 94° k ≈ 3. 7 units k ≈ 4. 6 units KL ≈ 2. 5 units KL ≈ 3. 2 units
The median's class interval is 20 hours and 30 minutes. And the average number of hours is thought to be 26.17.
Who defines median?The median is the exact middle value of a dataset after it has been sorted. A measure of central tendency is the distance between the bottom 50% of data and the top 50% of values. The methods for determining the median will vary depending on whether you have an odd or even number of data points.
the class interval that have median.
total is frequency is as -
∑f = 30
median class of corresponds to half of the value
∑th is the value
i.e. 15th value.
least cumulative frequency higher than or equal to 15 is obtained by accumulating frequencies starting at the top.
[tex]2+8+9=19[/tex]
So, corresponds to the class interval = [tex]20 < h\leq 30.[/tex]
Hence, median class is [tex]20 < h\leq 30.[/tex]
Since this is a grouped data we use the midpoint
The median:-
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Find the EXACT values of ALL SIX trigonometric functions of θ(sin, cos, tan, cot, sec, csc) from the information given. (a) cosθ=7/12, sinθ<0 (b) tanθ=4/3, θ in Quadrant III
(a) Since cosθ = 7/12 and sinθ < 0, we can find the other four trigonometric functions as follows:
sinθ = √(1 - cos²θ) = √(1 - (7/12)²) = √(1 - 49/144) = -√(95/144)
tanθ = sinθ / cosθ = (-√(95/144)) / (7/12) = -4√(5/18)
cotθ = 1 / tanθ = -1 / (-4√(5/18)) = 1/(4√(5/18))
secθ = 1 / cosθ = 1 / (7/12) = 12/7
cscθ = 1 / sinθ = -1 / (-√(95/144)) = √(95/144)
(b) Since tanθ = 4/3 and θ is in Quadrant III, we can find the other five trigonometric functions as follows:
cosθ = √(1 / (tan²θ + 1)) = √(1 / (16/9 + 1)) = √(9 / 25) = 3/5
sinθ = cosθ * tanθ = (3/5) * (4/3) = 4/5
cotθ = 1 / tanθ = 1 / (4/3) = 3/4
secθ = 1 / cosθ = 1 / (3/5) = 5/3
cscθ = 1 / sinθ = 1 / (4/5) = 5/4
What is trigonometric functions?Trigonometric functions are a set of functions that relate the angles of a right triangle to the ratios of the sides of the triangle. The six most commonly used trigonometric functions are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc).
The sine function, represented by sin, gives the ratio of the side opposite the angle to the hypotenuse. The cosine function, represented by cos, gives the ratio of the adjacent side to the hypotenuse. The tangent function, represented by tan, gives the ratio of the opposite side to the adjacent side.
The cotangent function, represented by cot, gives the ratio of the adjacent side to the opposite side. The secant function, represented by sec, gives the ratio of the hypotenuse to the adjacent side, and the cosecant function, represented by csc, gives the ratio of the hypotenuse to the opposite side.
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Solve the system of equations using subtraction.
2x-6y = -2 - 2y
-6x - 4y = -38 -2x
Answer:
y=7/2 and x=6
Step-by-step explanation:
2x−6y=−2y−2 can be turned into x=2y−1.
Now you can substitute the equations.
−6x−4y=−2x−38
−6(2y−1)−4y=−2(2y−1)−38
Then you can simplify.
−12y+6=−36
−12y=−42
y=7/2
Then you can substitute y to find x.
x=2y−1
x=2(7/2)-1
x=6
And then our answers are y=7/2 and x=6.
Hope this helped! :)
Pls help
(3 x 8 x 5)⁷
To evaluate (3 x 8 x 5)⁷, you need to first multiply 3, 8, and 5 together to get the base, then raise that result to the seventh power.
What does a math exponent mean?
The number of times a number has been multiplied by itself is referred to as an exponent. For instance, the expression 2 to the third (written as 23) signifies 2 x 2 x 2 = 8. 23 and 2 x 3 = 6 are not equivalent. Keep in mind that any number is itself when raised to the power of 1.
So,
(3 x 8 x 5)⁷ = (120)⁷ = 120 x 120 x 120 x 120 x 120 x 120 x 120
= (1.2 x 10^2)^7 = 1.2 x 10^2 x 1.2 x 10^2 x 1.2 x 10^2 x 1.2 x 10^2 x 1.2 x 10^2 x 1.2 x 10^2
=1.2^7 x 10^14 = 1.2^7 x 10^14
=4096 x 10^14
=4.096 x 10^17
Therefore (3 x 8 x 5)⁷ = 4.096 x 10^17
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What type of quadrilateral is ABCD? Move segments and words to the blanks to classify quadrilateral ABCD.
The slope of
6-4
The slope of
جانا جاتا
Ini
6-
The slope of
The slope of
The slopes indicate that
Therefore, quadrilateral ABCD is a
is
to
and that
is
to
AB
BC
CD
DA
congruent
parallel
perpendicular
parallelogram
rectangle
rhombus
square
The type of quadrilateral is ABCD is parallelogram.
There are some properties of parallelogram:
If Two pairs of opposite sides are parallel and equal in length.The two pairs of opposite angles are equal in measure and one pair of opposite sides is parallel and equal in length.The diagonals bisect each other, and the adjacent angles are supplementary.Each diagonal divides the quadrilateral into two congruent triangles, with the sum of the squares of the sides equals the sum of the squares of the diagonals.The coordinate of quadrilateral ABCD are A=(2,4) B=(5,6) C=(4,3) D=(1,1)
By using the coordinates we can find the slope:
slope=y2-y1/x2-x1
the slope of AB =6-4/5-2
AB=2/3
the slope of AD =1-4/1-2
AD=3/1
the slope of CD =1-3/1-4
CD=2/3
the slope of BC =3-5/3-6
BC=2/3
The slope indicates that the slope of AB is equal to BC and the slope of AD is equal to CD
Therefore, as per the properties, quadrilateral ABCD is Parallelogram
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A shoe store recorded the number of customers who made a purchase out of a sample of 100 customers who entered the store each day. The boxplot shown summarizes the recorded data for one year. Based on the boxplot, which of the following statements is true?
A. The range of the number of customers making a purchase is greater than 32.
B. The interquartile range of the number of customers making a purchase is 25.
C. The number of days that had at least 26 customers making a purchase is greater than the number of days that had at most 11 customers making a purchase
D. The number of days that had from 11 to 26 customers making a purchase is equal to the number of days that had at most 14 customers making a purchase.
E.The difference between the median and the lower quartile for the customers making a purchase is less than 2.
Explain your thinking.
Less than 2 units separate the median from the lower quartile for customers making purchases.
What is meant by quartile deviation?The three values known as quartiles divide sorted data into four equal-sized portions, each with an equal number of observations. An example of a quantile is a quantile. First quartile: Also referred to as the lower quartile or Q1. The median or second quartile is also referred to as Q2. Third quartile: Also referred to as the higher quartile or Q3.
Half of the difference between the upper and lower quartiles can be used to define the quartile deviation analytically. Here, the upper quartile (Q3) and lower quartile (Q1) can be used to depict quartile deviation as the letters QD. The term "quartile deviation" is sometimes used to refer to the semi-interquartile range.
The coefficient of quartile deviation serves as a gauge for a collection of data's variability or spread. It is determined by taking the square root of the difference between the upper and lower quartiles, squaring the result, and dividing it by two. Comparing data sets is simple because it is expressed as a percentage.
Therefore, the correct answer is option E. The difference between the median and the lower quartile for the customers making a purchase is less than 2.
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For a hypothesis test of H0: p = 0. 65 against the alternative Ha: p < 0. 65, the z test statistic is found to be -2. 35. What can be said about his finding?
The finding is significant at both α = 0.05 and α = 0.01.
What is hypothesis ?
A hypothesis (plural: hypotheses), in a scientific context, is a testable statement about the relationship between two or more variables or a proposed explanation for some observed phenomenon.
Have given ,
H0: p = 0. 65 , Ha: p < 0. 65 and the z test statistic is found to be -2. 35.
From the test statistic value, we can obtain the p value of the test ,
To determine if the claim is significant at both α = 0.05 and α = 0.01
We compare the Z statistic and Z critical values
If Z statistic < Z critical ; then we reject H0; if otherwise, we fail to reject H0
Z critical at 95% one tailed = - 1.645 (left tail)
Z critical at 95% one tailed = -2.326 (left tail)
- 2.35 < - 1.645
-2. 35 < 2.326
Since, Z statistic < Z critical;
The finding is significant at both α = 0.05 and α = 0.01.
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The graph represents an object that is shot upwards from a tower and then falls to the ground. The independent variable is time in seconds and the dependent variable is the object’s height above the ground in meters.
A How tall is the tower from which the object was shot?
B When did the object hit the ground?
C Estimate the greatest height the object reached and the time it took to reach that height. Indicate this situation on the graph.
7.) On Monday the rate for a hotel suite is $299.00 a night plus 6% tax. That same room rents for $349.00 plus 6% tax on a Friday. What is the difference in costs including tax between the two nights?
Answer:
The difference in costs including tax between the two nights is $53
Step-by-step explanation:
To find the cost of the hotel suite on Monday including tax, we first calculate the amount of tax by multiplying the room rate by 6% (0.06):
$299.00 * 0.06 = $17.94
So the total cost of the room on Monday including tax is:
$299.00 + $17.94 = $316.94
Next we find the cost of the hotel suite on Friday including tax:
$349.00 * 0.06 = $20.94
So the total cost of the room on Friday including tax is:
$349.00 + $20.94 = $369.94
Finally, to find the difference in costs between the two nights, we subtract the cost of the room on Monday including tax from the cost of the room on Friday including tax:
$369.94 - $316.94 = $53
The difference in costs including tax between the two nights is $53.
Answer:
The difference in costs including tax between the two nights is $53--------------------------------
The cost x including a 6% tax is:
x + 6% =x + 0.06x = 1.06xThe difference in costs including tax is:
349*1.06 - 299*1.06 = (349 - 299)*1.06 = 50*1.06 = 53Approximately how many plant made pharmaceuticals are currently under different stages of discovery?
a. 100
b. 200
c. 300
d. 400
please select the best answer from the choices provided a b c d
Approximately 300 plants are made pharmaceuticals currently under different stages of discovery.
Why do you use the term pharmaceutical?
pharmaceutical, material used for repairing, changing, or treating organic processes as well as for illness diagnosis, treatment, or prevention. Pharma (Bachelor of Pharmacy): Course, Qualifications, Admission, Syllabus, Pay, and Scope.
What function do drugs serve?
Drugs are created, produced, and distributed by the pharmaceutical business. Its goal is not to define sickness. Drug manufacturers typically focus on ailments that have already been identified by the medical community.
The positive side effects of medications, such as those that lower blood pressure, treat infections, or reduce pain, are considered their advantages. The possibility that anything unfavorable or unexpected will occur to you as a result of using a medication is what we mean by "risks."
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a pair of sneakers in on sale as shown the sale price is $51. This is 75% of the original price. what was the original price of the shoes
pls help, explanation required
Tlaloc pumped up 565656 ball. He pumped up 555 dodge ball for every 999 other ball. Complete the table. Original ratio Number Tlaloc pumped up
Dodge ball 555
Other ball 999
Total ball
5656
20 dodgeballs have been pumped up by Ttaloc.
Ttaloc has 36 additional pumped-up balls.
The complete ball's original number is 14.
The relationship between two or more numbers is expressed by the ratio. It displays the frequency of how often one value is encapsulated by another value (s).
The number of dodgeballs Ttaloc pumped up = (5/14) x 56 = 20
The number of other balls Ttaloc pumped up = (9/14) x 56 = 36.
A ratio in mathematics demonstrates how many times one number is present in another.
A ratio can have any number of quantities, such as counts of people or things or measurements of length, weight, time, etc. Both numbers must be positive in most situations.
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Why is it called logarithmic function?
A logarithm is the inverse operation of exponentiation, that is to say, log(a^b) = b, where log is logarithm, a is the base and b is the exponent.
A logarithmic function is called such because it relates the logarithm of a number to the number itself.
In other words, it is a function that expresses the value of the logarithm for a given number. This function is represented by the notation y = logb(x) where y is the logarithm, b is the base, and x is the number.
The logarithmic function is used to solve exponential equations, it is also useful in many fields such as mathematics, physics, engineering, and finance.
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△ABC, BD &CE are the altitude of the ide AC & AB and BD=CE. Prove that △BCD≅△CBE
We have proved that △BCD≅△CBE.
What are congruent triangles?
Congruent triangles are triangles that have the same size and shape. They have the same angles and corresponding side lengths.
By the RHS congruence condition if the hypotenuse and one side of one right triangle are equal to the hypotenuse and one side of another right triangle then both right triangles are congruent.
It is given that BD=CE and BC is the hypotenuse of small triangles CEB and BDC
So, In right triangles BCD and CBE
BC=CB=common side⋯⋯[hypotenuse]
And BD=CE=given⋯⋯[sides of right triangles]
So, by RHS condition
△BCD≅△CBE.
Hence, we have proved that △BCD≅△CBE.
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We have proved that △BCD≅△CBE.
What are congruent triangles?
Congruent triangles are triangles that have the same size and shape. They have the same angles and corresponding side lengths.
By the RHS congruence condition if the hypotenuse and one side of one right triangle are equal to the hypotenuse and one side of another right triangle then both right triangles are congruent.
It is given that BD=CE and BC is the hypotenuse of small triangles CEB and BDC
So, In right triangles BCD and CBE
BC=CB=common side⋯⋯[hypotenuse]
And BD=CE=given⋯⋯[sides of right triangles]
So, by RHS condition
△BCD≅△CBE.
Hence, we have proved that △BCD≅△CBE.
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Complete the table with values for x or y that make this equation true : 3x+y=15.
Answer:
Step-by-step explanation:
So first, with the given table you need to "plug-in" the numbers that are there for x and y.
Ok, for example 2 is listed in the "x" row. So plug it 2 for "x":
3x+y=15
3(2)+y=15
6+y=15
-6 -6
y=9
So do this for all of them...the same goes with all of the values...just plug in one, complete the steps then you'll get the answer for the other variable.
Hope this helps!
From the top of a lighthouse, the angles of depression to the top and bottom of a flagpole are 23° and 42°, respectively. If the flagpole is 75 feet from the lighthouse, how tall is the pole? [Round your answer to the nearest tenth of a foot. Type in the number only.]
Back with the braids.
A veterinarian weighs three cats. The
American Shorthair weighs 13.65 pounds.
The Persian weighs 13.07 pounds, and
the Maine Coon weighs 13.6 pounds.
List the cats in order from least to
greatest weight.
Answer:
Least to greatest.
Persian, Maine Coon, and American Shorthair
A triangle has 2 sides of length 2 and 18 what compound inequality describes the possible lengths for the third side length
I'm pretty sure the answer is 72 :))
What are my financial goals? What major purchases should I save for?
It depends on your personal financial situation and goals. Generally, it is important to save for major purchases such as a house, car, and vacations, as well as setting aside money for retirement. Additionally, you may want to consider investing in stocks, bonds, or mutual funds to achieve your long-term financial goals.
What’s is
2^x=1/32•x=
Answer:
I believe it would be x=-5
Step-by-step explanation:
..
A line has a slope of – 1/7 and passes through the point (4,5). What is its equation in point-slope form?
Answer:
y-5=-1/7(x-4)
Step-by-step explanation:
The equation of the line in point-slope form is y-5=-1/7(x-4)
Answer:
y = -1/7 x + 39/7
Step-by-step explanation:
An equation in point slope form is
y = mx+b where m is the slope and b is the y intercept
We are given the slope
y = -1/7 x + b
Substitute in the point for x and y and solve for b
5 = -1/7(4) +b
5 = -4/7 +b
5 + 4/7 = b
5*7/7 + 4/7 = b
35/7 + 4/7 = b
39/7 = b
The equation is
y = -1/7 x + 39/7
Mr. Nunez brought 2 1/2 cake to chool for her cla. If there are 15 people in the cla ,including Mr. Nine, how much of the cake will each peron receive
Each person present in Mrs. Nunez's class is going to receive 1/6th part of the cake when they get it cut.
Mr. Nunez brought 2 ½ cakes for 15 people which means, 2 ½ cakes will be equally divided into 15 pieces and distributed to each person. Since 2 ½ is a mixed fraction we have to convert it into a regular fraction which will be equal to 5/2. So, the amount of cake a person will receive is equal to (5/2)/15 which is 1/6, which is roughly 0.167 part of the whole cake.
The given problem has been solved by using the properties of fractions.
The complete question that you might be looking for is-
Mrs. Nunez brought 2 1/2 cake to school for her class. If there are 15 people in the class, including Mr. Nine, how much of the cake will each person receive?
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Find the equation of the line passing through the given point and parallel to the given line.
Answer:
[tex]y-2=-\frac{1}{2}(x-3)[/tex]
Step-by-step explanation:
[tex]x+2y=5 \\ \\ 2y=-x+5 \\ \\ y=-\frac{1}{2}x+\frac{5}{2}[/tex]
The slope of the given line is [tex]-\frac{1}{2}[/tex].
This means the slope of any line parallel to the given line is also [tex]-\frac{1}{2}[/tex].
Using point-slope form, the equation is [tex]y-2=-\frac{1}{2}(x-3)[/tex].
If it took a speed-boat 9 hours to travel
a distance of 1 080 km, what was its
average speed, in kmh-¹?
Answer:
120 km/h
Step-by-step explanation:
average speed=total distance÷time
=1080÷9
=120 km/h
[tex]h + 54 = 4 {}^{2} - 16 \div 4[/tex]
Value of h = ???
Answer:
[tex]h = -42[/tex]
Step-by-step explanation:
First, subtract 54 from both sides.
[tex]h = 4^2 - 16 \div 4 - 54[/tex]
Then, evaluate the right-hand expression using the order of operations:
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
We'll first evaluate the exponent in 4²:
[tex]4^2 = 4 \times 4 = 16[/tex]
[tex]h = 16 - 16 \div 4 - 54[/tex]
Next, we can evaluate the division:
[tex]16 \div 4 = 4[/tex]
[tex]h = 16 - 4 - 54[/tex]
Finally, perform the subtraction.
[tex]16 - 4 - 54 = -42[/tex]
[tex]h = -42[/tex]
Answer:
[tex] \sf \: h = - 42[/tex]
Step-by-step explanation:
Given equation,
→ h + 54 = 4² - 16 ÷ 4
Now the value of h will be,
→ h + 54 = 4² - 16 ÷ 4
→ h + 54 = 16 - 4
→ h + 54 = 12
→ h = 12 - 54
→ [ h = -42 ]
Hence, value of h is -42.
please help i need it by tomarrow
Answer:
2-6
3-9
5-15
6-18
2-6
4-12
5-15
8-24
Step-by-step explanation:
Multiply by 3
Select all that are equivalent to sin∠GFH
A. Sin∠GEJ
B. Sin∠EGJ
C. Cos∠FGH
D. Cos∠GEJ
E. Cos∠GFH
F. Tan∠GEJ
All that is the equivalent angle to the given angle sin∠GFH is cos∠GEJ.
Corresponding angles are those angles which are created in the matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line (i.e. the transversal).
From the image, we get JE and HF are parallel.
So ∠GFH and ∠GEJ are corresponding angles. That means they are equal.
⇒sin(∠GFH) = sin(∠GEJ).
From triangle GFH, ∠GFH + ∠FGH = 90.
⇒sin(∠GFH) = cos(∠FGH).
Again ∠FGH = ∠EGJ.
⇒sin(∠GFH) = cos(∠EGJ)
All that is equivalent to sin∠GFH is cos(∠EGJ).
Thus, the correct answer is D.
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Find the area of the polygon with the given vertices. N(-2,1), P(3,1), Q(3,-1), R(-2,-1)
Answer:
10
Step-by-step explanation:
no explanation just math-way
Is the function f/x )= x x − 4 − − − − √ is continuous on the interval 4 [infinity]?
No, the function f(x) = x - √x - 4 is not continuous on the interval [4, infinity].
Here's why, A function is considered continuous if the function is defined at every point in its domain and there are no breaks or jumps in the function's graph. In this case, the function f(x) = x - √x - 4 is defined for all x > 4, However, the function includes a square root of x-4, which is defined only for non-negative real numbers, thus for x < 4, the function is undefined. Therefore, the function is not continuous on the interval [4, infinity].
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