subscript indices must be either positive integers or logicals:T/F
Therefore, subscript indices must be either positive integers or logical. True
Explanation: The statement "subscript indices must be either positive integers or logicals" is true. Subscript indices are used to identify elements in an array. A positive integer subscript identifies a particular element in an array, while a logical subscript identifies a subset of elements based on a logical condition. For example, if we have an array A, then A(1) would identify the first element of the array, while A(A > 0) would identify all elements in the array that are greater than zero. Subscript indices cannot be negative or non-integer values.
Therefore, subscript indices must be either positive integers or logical. True
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Revision 1. Find the value of the variable that makes these number sentences true: a) h+8=19 b) 2p-6=4 c) y = 12 2. Substitute the value for x in order to find the value of y in the following: a) y=3x+2 ifx=8 b) y=4x-1 ifx=! c) y=0,2x+5 ifx=10 d) y = 10x+12 if x=0,3 3. Write the following as number sentences: a) The difference between two numbers is 25 b) The product of 5 and p is equal to the quotient of q and 2 c) The difference between 14 and 2y is equal to 6 d) The product of 15 and 4 is equal to four less than the sum of x and y. that represent these word problems.
1. The values which the given number sentences true are:
a) 11 b) 5 c) 36
2. After substituting the value of x we get the value for y as :
a) 6 b) 0 c) 7 d) 15
3. The number sentences are :
a) x ₋ y = 25
b) 5 × p = q ÷ 2
c) 2y ₋ 14 = 6
d) 15 × 4 = 4 ₋ (x₊y)
Given in the first bit we need to find the variables:
a) h ₊ 8 = 19
arrange the constants on one side.
h = 19 ₋ 8
h = 11
b) 2p ₋ 6 = 4
arrange the constants on one side.
2p = 4 ₊ 6
2p = 10
p = 10/2
p = 5
c) 1/3 y = 12
cross multiply.
y = 36
Now in the second exercise we are asked to substitute the x value and get the value of y.
a) y = 3x ₊ 2 if x =8
substitute x value in the equation.
y = 3(8) ₊ 2
y = 24 ₊ 2
y = 26
b) y = 4x ₋ 1 if x = 1/4
y = 4(1/4) ₋ 1
y = 1 ₋ 1
y = 0
c) y = 0.2x ₊ 5 if x = 10
y = 0.2(10) ₊ 5
y = 2 ₊ 5
y = 7
d) y = 10x ₊ 12 if x = 0.3
y = 10(0.3) ₊ 12
y = 3 ₊ 12
y = 15
In the last third bit we need to frame equations for the given word problems.
a) The difference between two numbers is 25.
let the two numbers be x and y.
x ₋ y = 25.
b) The product of 5 and p is equal to quotient of q and 2.
5 × p = q ÷ 2
c) The difference between 14 and 2y is equal to 6.
2y ₋ 14 = 6
d) The product of 15 and 4 is equal to four less than the sum of x and y.
15 × 4 = 4 ₋ (x₊y)
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Please help me out! Need this done ASAP!
Answer:
a. power of a point
b. CE = 4.6
Step-by-step explanation:
a. the power of a point theorem states that BE*BC = BA*BD
b. using the equation above, find CE:
BE * 10 = 3 * 18
BE = 5.4
CE = BC - BE = 10-5.4 = 4.6
Simplify . Show your work!
Answer:
25/16
Step-by-step explanation:
(4/5)^-2
Use Negative Power Rule: x^-a = 1/x^a
1/(4/5)^2
Use Division Distributive Property: (x/y)^a = x^a/y^a
1/16/5^2
1/16/25
25/16
Please mark me the brainliest!?!
The water capacity of a tank is 1500 liters. In three hours, half of it is being discharged. Find the volume left after 4 hours of discharging. a. 1,000 liters b. 800 liters c. 500 liters
After 4 hours of discharging, the volume left in the tank would be 500 liters. The correct option is C.
Initially, the tank has a water capacity of 1500 liters.
After three hours of discharging, half of the water is discharged, which means 1500/2 = 750 liters have been removed from the tank.
To find the volume left after 4 hours of discharging, we need to subtract the additional amount discharged in the fourth hour.
Since the discharge rate remains the same, we can calculate the amount discharged in one hour as 750/3 = 250 liters.
Therefore, in the fourth hour, 250 liters would be discharged. Subtracting this from the remaining water after three hours (750 liters), we get 750 - 250 = 500 liters.
Therefore, the correct answer is c. 500 liters.
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Every rhombus is a rectangle. true or false
Answer: false
Step-by-step explanation:
x - 62 = 123
How should you show your work to isolate the variable and solve the equation?
Answer:subtract 72 from the sides
Step-by-step explanation: just because I did it in a quiz got it right
8 squared + b squared= 17 squared find b
Answer:
b=15
Step-by-step explanation:
8²+b²=17²
b²=225
b=15
What is 40 times -83?
Answer:
-3320
Step-by-step explanation:
Positive times negative multiplication will end with the final product being negative, we can just use normal multiplication and convert the end product to integers
Answer:
-3320
Step-by-step explanation:
You do 40 times negative when you multiply a negative to a posotive it will be a negative so do the the math and bam! :)
The measurement of the side of a triangle are 12m, 20m and 27m if all sides are increased by 10% what would be the difference between the perimeter of the initial figure and the new figure
Answer:
Step-by-step explanation:
The perimeter of a triangle is the sum of all its sides. The formula for the perimeter of a triangle is given by:
Perimeter = AB + BC + AC
Where AB, BC and AC are the lengths of its sides.
The initial perimeter of the triangle is:
12m + 20m + 27m = 59m
If all sides are increased by 10%, then the new sides would be:
12m + (12m * 0.1) = 13.2m 20m + (20m * 0.1) = 22m 27m + (27m * 0.1) = 29.7m
The new perimeter would be:
13.2m + 22m + 29.7m = 64.9m
The difference between the perimeters of the initial figure and the new figure would be:
64.9 - 59 = 5.9 meters.
The equation y = 1.99x represents the cost y for x downloaded songs. Is this equation a direct variation?
- Yes, this is a direct variation
- No, this is not a direct variation.
( Will give 20 points )
Answer:
No.
Step-by-step explanation:
To find the y value, one must replace x value, meaning that it's a multi step problem and it's not direct because y=exact value is not given
5/6=-4/(x+2) answer pls
Answer:
-34/5
Step-by-step explanation:
5/6=-4/(x+2)
5/6(x+2)=-4
5/6x+10/6=-4
5/6x=-4-10/6
5/6x=-4-5/3
5/6x=-12/3-5/3
5/6x=-17/3
x=(-17/3)/(5/6)
x=(-17/3)(6/5)
x=-34/5
Define a variable and write an equation to find the number Then solve eight times a number is twelve times the number minus four.
Step-by-step explanation:
8x=12x-4
8x-12x=4
-4x=4
x= -1
HELP NEEDED TIMED i need help figuring out how to do this
Answer:
The answer is 3/4
99
4
Step-by-step explanation:
Isosceles triangle ABC contains angle bisectors segment BF, segment AD, and segment CE that intersect at X. triangle ABC with diagonals BF, AD, and EC that intersect at point X
If segment BA is congruent to segment BC and m∠BCA = 44°, what is m∠CXA?
136°
132°
68°
44°
Answer:
Where is the picture?
Answer:
132
Step-by-step explanation:
In ΔPQR, the measure of ∠R=90°, QR = 61 feet, and RP = 90 feet. Find the measure of ∠P to the nearest degree.
Step-by-step explanation:
given= in triangle PQR,<R=90⁰ QR=61 FEET RP=90 FEET
by using pythagoras therom ;
(hypotenuse)²=(side1)² +(side2)²
(PQ)²=(PR)²+(QR)²
(PQ)²=(90)² + (61)²
(PQ)²=8100 + 3721
(PQ)²=11821
TAKING SQUARE ROOTS ON BOTH SIDES, WE GET;
PQ= 108 feet
<P = thita
sin ⁰ = opposite/hypotenuse
sin⁰ =QR/PQ
SIN⁰ =61/108
SIN⁰ =0.56
there amgle P measures 0.56 degree
Answer:
34
Step-by-step explanation:
its right
A ribbon surrouds the edge of a circular hat that has a radius of 8 inches. Find the length of the ribbon tot he nearest tenth.
The length of the ribbon to the nearest tenth is 50.3 inches.
To find the length of the ribbon that surrounds the edge of a circular hat that has a radius of 8 inches, we can use the formula for the circumference of a circle.
The formula for the circumference of a circle is given by the following:
C = 2πr
Where C represents the circumference of the circle, π represents the constant value of pi which is approximately equal to 3.14, and r represents the radius of the circle.
Given that the circular hat has a radius of 8 inches, we can use this value to find the circumference of the circle.
Hence, we have: r = 8 inches
C = 2πr
C = 2π(8)C = 16π
The length of the ribbon that surrounds the edge of the circular hat is equal to the circumference of the circle. Therefore, the length of the ribbon is:16π ≈ 50.3 inches (to the nearest tenth)
Therefore, the length of the ribbon to the nearest tenth is 50.3 inches.
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hi! please help in math!
i need the solution/explanation on how you got the answer
(y + 3) = -8(x - 4)
what is the slope?
Answer:
slope m = - 8
Step-by-step explanation:
the equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
y + 3 = - 8(x - 4) ← is in point- slope form
with slope m = - 8
The slope is :
↬ -8Solution:
Given: \(\bf{y+3=-8(x-4)}\)
To determine the slope, it's important to know the form of the equation first.
There are 3 forms that you should be familiar with.
The three forms of equations of a straight line are:
Slope Intercept (y = mx + b)Point slope (y-y₁) = m(x - x₁)Standard form (ax + by = c)This equation matches point slope perfectly.
The question becomes, how do you work with point slope to find slope?
Point slopeIn point slope, m is the slope and (x₁, y₁) is a point on the line.
Similarly, the slope of \(\bf{y+3=-8(x-4)}\) is -8.
Hence, the slope is -8.write down the two distinct properties between parallelogram and trapezium
The two distinct properties between parallelogram and trapezium are:
Parallelogram has two pairs of opposite sides that are parallel while trapezium has only one.Parallelogram has congruent opposite sides, trapezium does not.What are the Distinct Properties of Parallelogram?A parallelogram has two pairs of opposite sides that are parallel to each other.Opposite sides are congruent to each other.What are the Distinct Properties of Trapezium?A trapezium has only one pair of opposite sides that are parallel to each other.Opposite sides are not congruent to each other.Learn more about properties of quadrilaterals on:
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QS and TV are parallel lines.
Which angles are alternate exterior angles?
the options are
<SRP and <VUW
<SRP and <QRP
<SRP and <TUW
<SRP and <TUR
Answer:
angle SRP AND ANGLE TUW
when group members contribute less to the group than the average member, particularly as the group grows in size, those group members are engaged in
When group members contribute less to the group than the average member, particularly as the group grows in size, those group members are engaged in social loafing.
Social loafing refers to the phenomenon where individuals exert less effort when working in a group compared to when working alone. As the group size increases, individual accountability diminishes, leading to a diffusion of responsibility and a decrease in individual effort.
This can result in some group members contributing less than the average member, taking advantage of the collective efforts of others.
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What’s the solution for the inequality of m>7/12
Answer:
You already found the answer which is m>7/12
Please help only if you know. And please don't get this taken down or deleted- this question is very important and confuses me.
What interval would be appropriate to graph the data? what does the question mean???
Answer: This question is not right
Step-by-step explanation:
What you have asked is how much should the numbers go up on a graph so it all fits on the graph and can be understood.
1st we need to know what data if your numbers were 5 15 20 25 25 20 15 an appropriate interval would be by 5's however if your data was 100 500 1100 800
There would be no way you could fit it on a graph if you went up by five. A better interval would be 100's
Based on my response I hope you can see that in order to find appropriate interval to graph the data we need the data and that you now see what to do or can update the question
D.1 Give an estimate for the total volume of food and water you've ingested in the last day, in milliliters. D.2 How many times larger is the amount of blood your heart has pumped in the last day than the amount of food and drink you took in? D.3 How much error do you expect in your answer to 4 b ? You should give an quantitative response to this, but not one generated by a formula. Instead, estimate the error by examining how closely you think you know the values you estimated for food intake and blood flow. You don't need to use advanced error propagation; an approximate response is fine. D.4 What is the relevance of this calculation to the theory that all the blood that flows through your veins is generated in the liver?
An estimate for the total volume of food and water you've ingested in the last day is 3000-5000 milliliters. On average, the heart pumps about 5 liters of blood per minute. 10-20% or more error I'm expecting. Calculating heart blood volume compared to food and drink consumption is crucial for understanding circulation and liver function.
D.1 Estimating the amount of food and water consumed in a day can be difficult without specific measurements, but a rough estimate can be made based on typical intake amounts. On average, a person may consume 2-3 liters of water and 1000-2000 calories per day, resulting in an estimated total volume of 3000-5000 milliliters.
D.2 The amount of blood pumped by the heart varies from person to person and depends on factors such as heart rate and overall health. On average, the heart pumps about 5 liters of blood per minute, which is much larger than the estimated volume of food and water intake.
D.3 Estimating food and water intake and blood flow is prone to error due to variability and uncertainties in personal measurements. Individuals' habits, health, and physical activity levels can affect these estimates, potentially resulting in a significant error of 10-20% or more.
D.4 The calculation of the heart's blood volume compared to food and drink consumption is crucial for understanding the circulation system and liver role.
The liver processes nutrients, detoxifies, and produces blood components, while the heart is responsible for circulating blood throughout the body. The vast difference in volume between the two is emphasized, emphasizing the heart's crucial role in maintaining circulation.
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In order to verify the accuracy of their financial accounts, companies use auditors on a regular basis to verify accounting entries. The company’s employees make erroneous entries 5% of the time. Suppose that an auditor randomly checks three entries.
a. Find the probability distribution for Y , the number of errors detected by the auditor.
b. Construct a probability histogram for p(y).
c. Find the probability that the auditor will detect more than one error.
To find the probability distribution for Y, the number of errors detected by the auditor, we can use the binomial distribution formula. The binomial distribution is used when there are only two possible outcomes, success or failure, and each trial is independent.
In this case, the probability of success (detecting an error) is 5% or 0.05, and the probability of failure (not detecting an error) is 1 - 0.05 = 0.95.
a. To find the probability distribution for Y, we can use the formula for the binomial distribution:
P(Y = y) = (nCk) * p^k * (1-p)^(n-k)
where n is the number of trials (3 in this case), k is the number of successes (errors detected), p is the probability of success (0.05), and (nCk) is the combination formula.
For y = 0:
P(Y = 0) = (3C0) * (0.05)^0 * (0.95)^(3-0) = (1) * (1) * (0.95)^3 = 0.857375
For y = 1:
P(Y = 1) = (3C1) * (0.05)^1 * (0.95)^(3-1) = (3) * (0.05) * (0.95)^2 = 0.135375
For y = 2:
P(Y = 2) = (3C2) * (0.05)^2 * (0.95)^(3-2) = (3) * (0.05)^2 * (0.95)^1 = 0.007125
For y = 3:
P(Y = 3) = (3C3) * (0.05)^3 * (0.95)^(3-3) = (1) * (0.05)^3 * (0.95)^0 = 0.000125
So the probability distribution for Y is:
Y = 0 with probability 0.857375
Y = 1 with probability 0.135375
Y = 2 with probability 0.007125
Y = 3 with probability 0.000125
b. To construct a probability histogram for p(y), you can create a bar graph where the x-axis represents the number of errors detected (Y) and the y-axis represents the probability (P(Y = y)). Each bar will have a height corresponding to the probability.
c. To find the probability that the auditor will detect more than one error, we need to calculate the sum of the probabilities for Y = 2 and Y = 3:
P(Y > 1) = P(Y = 2) + P(Y = 3) = 0.007125 + 0.000125 = 0.00725
Therefore, the probability that the auditor will detect more than one error is 0.00725.
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Someone Please help 2!!!!
the radius of a disk is given as with a maximum error of . use differentials to estimate the relative error in the calculated area of the disk. please enter your answer in decimal format with three significant digits after the decimal point.
Using differentials to estimate the relative error in the calculated area of the disk of disk with radius 15 cm is equals to the 3.192%.
We have, a disk with radius of 15 cm.
Maximum error = 0.25
We have to determine the area of the disk. Area is a two dimensional quantity. It is defined as the space occupied by figure or any two dimensional shape. Here, formula for area of disk, A = πr² --(1)
here, r = 15 cm , dr = 0.25
Relative error is defined as the ratio of absolute error in measurement to the oringnal measurement. Differentating the equation (1) with respect to r, dA = d( πr²)
=> dA = 2πr dr
Substitutes the known values, in above formula, dA = 2× π × 15 ×0.25
=> dA = 7.50 × π = 23.55
So, absoulte error in area = 22.55
Original value of area = π(15)² = 706.5 cm²
Now, relative error % = (∆A/A)×100
= (22.55/706.5)×100
= 0.031917 × 100
= 3.1917 ~ 3.192 %
Hence, required value is 3.192%.
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Complete question:
the radius of a disk is given 15 cm as with a maximum error of 0.25 . use differentials to estimate the relative error in the calculated area of the disk. please enter your answer in decimal format with three significant digits after the decimal point.
what is the evolution of f×3=12
Answer:
f*3=12
f=12/3
f=4
Step-by-step explanation:
hope help you stay happy
A committee of four is to be randomly selected from a group of seven teachers and eight students. Determine the probability that the committee will consist of two teachers and two students. Write the answer as a fraction in lowest terms.
The probability that the committee will consist of two teachers and two students is 28/65.
To determine the probability that the committee will consist of two teachers and two students, we need to first find the total number of ways to select four people from the group of 15:
Total number of ways = C(15,4) = 15! / (4!11!) = 1365
Next, we need to find the number of ways to select two teachers and two students:
Number of ways = C(7,2) * C(8,2) = (7! / (2!5!)) * (8! / (2!6!)) = 21 * 28 = 588
Finally, we can find the probability by dividing the number of ways to select two teachers and two students by the total number of ways:
Probability = 588/1365 = 28/65
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what is the rate of change?
the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
to get the slope of any straight line, we simply need two points off of it, let's use those two in the picture below.
\((\stackrel{x_1}{50}~,~\stackrel{y_1}{45})\qquad (\stackrel{x_2}{70}~,~\stackrel{y_2}{61}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{61}-\stackrel{y1}{45}}}{\underset{run} {\underset{x_2}{70}-\underset{x_1}{50}}} \implies \cfrac{ 16 }{ 20 } \implies {\Large \begin{array}{llll} \cfrac{4 }{ 5 } \end{array}}\)