hello please help prize is brainliest

Hence, after solving the expression (7x-10)(6y-12)=0, the value of y comes out as y=2.

What is zero product rule?

The zero product property states that if A and B are two real numbers and their multiplication results in zero, then either A or B must equal zero, however it is possible for both A and B to be equal to zero in rare circumstances. As a result, we can state that the product of two real non-zero numbers cannot ever be zero. It is typically applied for solving algebraic problems. Any expression that contains a variable is considered an algebraic expression. A zero-equivalent algebraic expression is referred to as an equation.

Given, the complete mathematical equation is (7x-10)(6y-12) = 0

By Zero Product Rule,

Since the expression is in product form, and it is equal to zero, we can equate each expression to zero.

Thus,

(7x-10) = 0

⇒ 7x = 10

⇒ x = 10/7

For the second expression,

(6y-12) = 0

⇒ 6y = 12

⇒ y = 12/6

⇒ y = 2

Hence, after solving the expression (7x-10)(6y-12)=0, the value of y comes out as y=2.

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Using Zero product rule, Hence, after solving the expression (7x-10)(6y-12)=0, the value of y comes out as y=2.

The zero product property states that if A and B are two real numbers and their multiplication results in zero, then either A or B must equal zero, however it is possible for both A and B to be equal to zero in rare circumstances. As a result, we can state that the product of two real non-zero numbers cannot ever be zero. It is typically applied for solving algebraic problems. Any expression that contains a variable is considered an algebraic expression. A zero-equivalent algebraic expression is referred to as an equation.

Given, the complete mathematical equation is (7x-10)(6y-12) = 0

By Zero Product Rule,

Since the expression is in product form, and it is equal to zero, we can equate each expression to zero.

Thus,

(7x-10) = 0

⇒ 7x = 10

⇒ x = 10/7

For the second expression,

(6y-12) = 0

⇒ 6y = 12

⇒ y = 12/6

⇒ y = 2

Hence, after solving the expression (7x-10)(6y-12)=0, the value of y comes out as y=2.

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Answer:

11

Step-by-step explanation:

Answer: 11

Step-by-step explanation:

6+5=11

(sum means addition)

Hope this helps! :)

The answer are: a. Total outflows: $2,007,901, b. Total inflows: $827,080, c. Net present value: $824,179, d. Should the old issue be refunded with new debt? Yes

To determine whether the old bond issue should be refunded with new debt, we need to calculate the present value of total outflows, the present value of total inflows, and the net present value (NPV). Let's calculate each of these values step by step: Calculate the present value of total outflows. The total outflows consist of the call premium, underwriting cost on the old issue, and underwriting cost on the new issue. Since these costs are one-time payments, we can calculate their present value using the formula: PV = Cash Flow / (1 + r)^t, where PV is the present value, Cash Flow is the cash payment, r is the discount rate, and t is the time period.

Call premium on the old issue: PV_call = (7% of $22 million) / (1 + 0.1)^16, Underwriting cost on the old issue: PV_underwriting_old = $530,000 / (1 + 0.1)^16, Underwriting cost on the new issue: PV_underwriting_new = $680,000 / (1 + 0.1)^16. Total present value of outflows: PV_outflows = PV_call + PV_underwriting_old + PV_underwriting_new. Calculate the present value of total inflows. The total inflows consist of the interest savings and the tax savings resulting from the interest expense deduction. Since these cash flows occur annually, we can calculate their present value using the formula: PV = CF * [1 - (1 + r)^(-t)] / r, where CF is the cash flow, r is the discount rate, and t is the time period.

Interest savings: CF_interest = (12% - 10%) * $22 million, Tax savings: CF_tax = (40% * interest expense * tax rate) * [1 - (1 + r)^(-t)] / r. Total present value of inflows: PV_inflows = CF_interest + CF_tax.  Calculate the net present value (NPV). NPV = PV_inflows - PV_outflows Determine whether the old issue should be refunded with new debt. If NPV is positive, it indicates that the present value of inflows exceeds the present value of outflows, meaning the company would benefit from refunding the old issue with new debt. If NPV is negative, it suggests that the company should not proceed with the refunding.

Now let's calculate these values: PV_call = (0.07 * $22,000,000) / (1 + 0.1)^16, PV_underwriting_old = $530,000 / (1 + 0.1)^16, PV_underwriting_new = $680,000 / (1 + 0.1)^16, PV_outflows = PV_call + PV_underwriting_old + PV_underwriting_new. CF_interest = (0.12 - 0.1) * $22,000,000, CF_tax = (0.4 * interest expense * 0.4) * [1 - (1 + 0.1)^(-16)] / 0.1, PV_inflows = CF_interest + CF_tax. NPV = PV_inflows - PV_outflows.  If NPV is positive, the old issue should be refunded with new debt. If NPV is negative, it should not.

Performing the calculations (rounded to the nearest whole dollar): PV_call ≈ $1,708,085, PV_underwriting_old ≈ $130,892, PV_underwriting_new ≈ $168,924, PV_outflows ≈ $2,007,901,

CF_interest ≈ $440,000, CF_tax ≈ $387,080, PV_inflows ≈ $827,080.  NPV ≈ $824,179.  Since NPV is positive ($824,179), the net present value suggests that the old bond issue should be refunded with new debt.

Therefore, the answers are:

a. Total outflows: $2,007,901

b. Total inflows: $827,080

c. Net present value: $824,179

d. Should the old issue be refunded with new debt? Yes

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To determine the probability mass function (PMF) and cumulative distribution function (CDF) of the carbon dioxide atmosphere for the trees, we can use the given percentages and corresponding carbon dioxide levels and it found that, the probability mass function of the carbon dioxide atmosphere is not represented by any of the given options, the cumulative distribution function of the carbon dioxide atmosphere is 565 ppm (option b), the mean of the carbon dioxide atmosphere for these trees is 565 ppm (option b).

a. Probability Mass Function (PMF):

The PMF gives the probability of each possible value of the random variable. In this case, the random variable is the carbon dioxide atmosphere (in ppm). We can determine the PMF by assigning the probabilities to each carbon dioxide level.

The PMF for the carbon dioxide atmosphere is as follows:

P(350 ppm) = 0.06

P(450 ppm) = 0.10

P(550 ppm) = 0.47

P(650 ppm) = 0.37

b. Cumulative Distribution Function (CDF):

The CDF gives the cumulative probability up to a certain value of the random variable. We can calculate the CDF by adding up the probabilities from the PMF up to each carbon dioxide level.

The CDF for the carbon dioxide atmosphere is as follows:

CDF(350 ppm) = P(350 ppm) = 0.06

CDF(450 ppm) = P(350 ppm) + P(450 ppm) = 0.06 + 0.10 = 0.16

CDF(550 ppm) = P(350 ppm) + P(450 ppm) + P(550 ppm) = 0.06 + 0.10 + 0.47 = 0.63

CDF(650 ppm) = P(350 ppm) + P(450 ppm) + P(550 ppm) + P(650 ppm) = 0.06 + 0.10 + 0.47 + 0.37 = 1.00

c. Mean of the carbon dioxide atmosphere:

To calculate the mean of the carbon dioxide atmosphere, we multiply each carbon dioxide level by its corresponding probability and sum them up.

Mean = (350 ppm * 0.06) + (450 ppm * 0.10) + (550 ppm * 0.47) + (650 ppm * 0.37)

= 21 + 45 + 258.5 + 240.5

= 565

Therefore in summary:

a. The probability mass function of the carbon dioxide atmosphere is not represented by any of the given options.

b. The cumulative distribution function of the carbon dioxide atmosphere is 565 ppm (option b).

c. The mean of the carbon dioxide atmosphere for these trees is 565 ppm (option b).

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Answer:

23/6400 ml or 0.003594 ml

Step-by-step explanation:

Steps to determining the answer

Soy sauce in one bottle = total soy sauce in one bottle / total number of bottles

4/800 ÷ 32 =

4/800 x 1/32 = 1 / 6400

soy sauce in 23 bottles

1/6400 x 23 = 23/6400 ml or 0.003594 ml

Answer:

x=4

blank 1:  x

blank 2:  4

Step-by-step explanation:

Step-by-step explanation:

\( \frac{de}{df} = \frac{dh}{dg} \\ \frac{4}{16} = \frac{6}{dg} \\ dg = \frac{6 \times 16}{4} \\ dg = 24\)

Problem 5:  V = π ∫[(5x - x^2)^2] dx from 0 to 5

Problem 7:  V = π ∫[(49y^2 - y^6)] dy from 0 to √7

Problem 9:  V = π ∫[(144 - 4y + y^2/36) - (144 - 8y + y^2/9)] dy from 0 to 12

How to find the volume V of the solid formed by rotating region inside the first quadrant                                             Problem 5: To find the volume V of the solid formed by rotating the region inside the first quadrant enclosed by y=x^2 and y=5x about the x-axis, we use the disk method.
Step 1: Find the intersection points of the two curves:
x^2 = 5x
x(x - 5) = 0
x = 0 or x = 5
Step 2: Set up the integral for the volume using the disk method:
V = π ∫[h(x)]^2 dx from a to b, where h(x) = 5x - x^2
a = 0 and b = 5
Step 3: Calculate the integral:
V = π ∫[(5x - x^2)^2] dx from 0 to 5
Step 4: Evaluate the integral to find the volume.

How to find the volume V formed by rotating the region enclosed by the curves by washer method?
Problem 7: To find the volume V formed by rotating the region enclosed by the curves y^3 = x and x = 7y with y > 0 about the y-axis, we use the washer method.

Step 1: Solve for x in both equations and find the intersection points:
x = y^3 and x = 7y

Step 2: Set up the integral for the volume using the washer method:
V = π ∫[(7y)^2 - (y^3)^2] dy from a to b, where a and b are the limits of integration                                    
Step 3: Find the limits of integration by setting y^3 = 7y:
y^3 - 7y = 0
y(y^2 - 7) = 0
y = 0 or y = √7
a = 0 and b = √7
Step 4: Calculate the integral:
V = π ∫[(49y^2 - y^6)] dy from 0 to √7
Step 5: Evaluate the integral to find the volume.

How To find the volume of the solid obtained by rotating the region bounded by the curves by washer method?
Problem 9: To find the volume of the solid obtained by rotating the region bounded by the curves y = 3x, y = 6x, and y = 12 about y = 12, we use the washer method.

Step 1: Solve for x in both equations:
x = y/3 and x = y/6
Step 2: Set up the integral for the volume using the washer method:
V = π ∫[(12 - y/6)^2 - (12 - y/3)^2] dy from a to b, where a and b are the limits of integration
Step 3: Find the limits of integration by setting 3x = 6x:
y = 12
a = 0 and b = 12
Step 4: Calculate the integral:
V = π ∫[(144 - 4y + y^2/36) - (144 - 8y + y^2/9)] dy from 0 to 12
Step 5: Evaluate the integral to find the volume.

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The error involved in approximating the sum of the given series by the sum of the first five terms of the series is `R5 = 1/6³ + 1/7³ + ...`.

To estimate the error that is made by approximating the sum of the given series by the series the first 5 terms 1/k³, we can use the remainder term of a convergent series.

The given series is ∑ 1/k³ from k = 1 to infinity.We have to find the error involved in approximating the sum of the given series by the sum of the first five terms of the series.

That is, we need to find the difference between the actual sum of the series and the sum of the first five terms of the series.

The sum of the series is given by: `S = 1/1³ + 1/2³ + 1/3³ + 1/4³ + ... + 1/n³ + ...` We can use the remainder term of the series to find the error in approximation.

The remainder term `Rn` is given by: `Rn = Sn - S` where `Sn` is the sum of the first `n` terms of the series. Thus, we have to find the remainder term for `n = 5`.

The remainder term `Rn` is given by: `Rn = S - Sn = 1/6³ + 1/7³ + ...` Since the given series is convergent, the remainder term `Rn` tends to zero as `n` tends to infinity.

So, if we take the sum of the first five terms of the series, the error involved in approximation is given by the remainder term `R5`.

The error involved in this approximation is very small and can be neglected.

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Four two-digit numbers are constructed from numbers 1, 2, 3, ..., 8. The largest number of  primes that could possibly formed among those four numbers is 3 numbers.

A prime number is a whole number greater than 1 which only divisible by 1 and itself. Example of prime numbers are 2, 3, 5, 7, ...

We want to form 4 two-digit numbers from, 1, 2, 3, 4, 5, 6, 7, 8.

Recall that: other than 2, all even numbers are not prime since they are divisible by 2. Hence, from those numbers, we look at which odd two-digit numbers are prime.

We have four odd numbers in the list that can construct two-digit odd numbers: 1, 3, 5, 7.

However, two-digit numbers with 5 as its second digit is not prime since they are exactly divisible by 5.

Therefore, now we only have 3 numbers (1, 3, 7) that can construct two-digit odd numbers. Hence, the largest number of primes that could possibly formed is 3 numbers.

Example, the constructed four two-digit numbers are:

47, 53, 61, 28

47, 53, and 61 are prime, while 28 is not.

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Answer:

1/6

Step-by-step explanation:

-4/9 * (-3/8) =

= 12/72

= 1/6

Answer:

Step-by-step explanation:

-4/9 x -3/8 = (-4)(-3) / 8x9 = 12 / 72 = 6/36 = 1/6

Answer:

x=7 A=41

Step-by-step explanation:

You do 180-69=111. You know that 11x-7 goes inside and then you do 11x-7+4x+13=111. You get x=7. Multiple 4x7=28+13=41

Answer:

-18/13

Step-by-step explanation:

(x1,y1) = (-6,9)

(x2,y2) = (7,-9)

m= y2-y1 / x2-x1 =  -9-9 / 7-(-6)

-18/13

Answer:

No

If all 4 bags of flour are 35 pounds, then 4 bags would equate to 920 muffins, just below 1000.

Answer:

1 \(\frac{11}{12}\)

4 1/4 - 2 1/3 = 23/12 (1.91...)

23/12 as a mixed number is 1 11/12.

The answer is 1 11/12. Hope it helps!

Answer:

157

Step-by-step explanation:

Answer:

Y = 9.5

(option C)

The absolute value inequality for the hearing range of each animal is mod(e - 6008) ≤ 5992 and mod(m - 46000) ≤ 45000, respectively.

An absolute value equation has no solution if the absolute value expression equals a negative number since an absolute value can never be negative. You can write an absolute value inequality as a compound inequality. This holds true for all absolute value inequalities. You can replace > above with ≥ and < with ≤.

To solve absolute-value inequalities, first, we must drop the absolute-value bars and restate the inequality in one of two ways, depending on the case.

According to the question,

The elephant can hear: 16 ≤ e ≤ 12000

The avg hearing = (12000 + 16)/2 = 6008

Tolerance = 12000 - 6008 = 5992

Therefore, the value absolute value inequality for the hearing of the elephant is mod(e - 6008) ≤ 5992.

Similarly,

The mouse can hear: 1000 ≤ e ≤ 91000

The avg hearing = (12000 + 91000)/2 = 46000

Tolerance = 46000 - 1000 = 45000

Hence, the value absolute value inequality for the hearing of the mouse is mod(m - 46000) ≤ 45000.

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The dot plot of the data values is added as an attachment

From the question, we have the following parameters that can be used in our computation:

85,88,75,100,90,90,88,72,72,79,88,85

Next, we create a frequency table

So, we have

Values   Frequency

72             2

75             1

79             1

85            2

88            3

90           2

100          1

Total      12

Using the frequency table above, we create the dot plot

See attachment for the dot plot

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In September 2021, the approximate number of citizens incarcerated in jails and prisons is around 2.3 million.

It is important to note that this figure can vary over time due to changes in policies, criminal justice reforms, and other factors. The incarcerated population includes individuals who have been convicted of crimes and are serving their sentences, as well as those who are awaiting trial or have been sentenced but not yet transferred to a correctional facility.

These numbers can vary between different countries and jurisdictions. To obtain the most accurate and up-to-date information on current incarceration rates, it is advisable to refer to official sources such as the U.S. Bureau of Justice Statistics or relevant governmental organizations in your country.

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There is no positive integer whose echo is a perfect square.

Let's assume that there exists a positive integer n whose echo is a perfect square. Then the echo of n can be written as \(10^k * n + n\), where k is the number of digits in n.

Now we can write the equation as:

\(10^k * n + n = m^2\)

where m is a positive integer representing the perfect square.

We can factor out n from the left-hand side to get:

\(n(10^k + 1) = m^2\)

Since n is a positive integer, the factors \((10^k + 1)\)and \(m^2\) must also be positive integers. This means that \(10^k + 1\) is a positive integer that is a perfect square.

However, for any positive integer k, the numbers \(10^k\) and \(10^k + 1\) are consecutive integers, and there are no perfect squares between consecutive integers except for the cases where the smaller integer is 0 or 1. Since \(10^k\) is always greater than 1, it follows that there cannot exist a positive integer whose echo is a perfect square.

Therefore, there is no positive integer whose echo is a perfect square.

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Answer:

Altitude is 215.7ft

c^2 = 215.7ft

Step-by-step explanation:

Altitude means the line of vertex in a triangle that makes a right angle.

Such line forms a perpendicular line to one of the lines within a triangle and either makes a new triangle with 1 line or is a third line of a triangle and is therefore a smaller size to the slope.

Both this found measurement with the other small side must total more than the slope, but when all sides given are squared they must equal the amount of the slope or be the difference when the other perpendicular line is subtracted from the slope, if this was not true a triangle would have wrong term names.

Side^2  + base^2 = slope^2

Vertex^2 + perpendicular^2 = slope^2

= a^2 + b^2 = c^2

So here when given a right angle measure we can use Pythagoras theorem.

274^2 - 169^2 = c^2

sq rt 75076 - sq rt 28561 = c^2

sq rt 46515 = 215.673364 = 215.7

c^2  = 215.7ft

Bare in mind there is no diagram if checkpoint 1 is halfway between the slope then it is a different method and repeat of two slopes.

Therefore the slopes need to be identified if the main slope is split by the vertex line given.

Answer:

40 cubic

Step-by-step explanation:

Answer:

Honestly I can only think about Black Cat too.

Step-by-step explanation:

I know its not because I agree she is only in the comics, but I just don't have enough information. Like who is the main charactor.

The probability that a student drives to school, given that they are a senior, is approximately 0.71, rounded to the nearest hundredth.

We can use Bayes' theorem to find the probability that a senior student drives to school, given that they are a senior.

First, we need to calculate the probability of a student being a senior:

\(P(senior) = \frac{25+5+5}{(2+25+3+13+20+2+25+5+5)} = \frac{35}{100} = 0.35\)

Next, we need to calculate the probability of a senior student driving to school:

P(drive ∩ senior) = 25/100 = 0.25

Now we can apply Bayes' theorem:

P(drive | senior) = P(drive ∩ senior) / P(senior)

P(drive | senior) = 0.25 / 0.35 ≈ 0.71

Therefore, the probability that a student drives to school, given that they are a senior, is approximately 0.71, rounded to the nearest hundredth.

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The stress function satisfies the conditions of compatibility for a two-dimensional problem.

Given stress function is 50x² - 60xy - 70y²

To determine whether the stress function satisfies the conditions of compatibility for a two-dimensional problem, it is required to find the strains and then check for compatibility equations.

Strain components are given as,

εx = ∂υ/∂x + (du/dx)

εy = ∂υ/∂y + (du/dy)

γxy = ∂υ/∂y + (du/dx)

Here,

υ = 50x² - 60xy - 70y²

du/dx = 100x - 60

ydu/dy = -60x - 140y

∂υ/∂x = 100x - 60y

∂υ/∂y = -60x - 140y

∂²υ/∂y² = -140

∂²υ/∂x² = 100

Now,εx = 100x - 60

yεy = -140y - 60

xγxy = -60y - 60x

Taking derivative of εy w.r.t x,

∂(εy)/∂x = -60

Similarly, taking derivative of εx w.r.t y,

∂(εx)/∂y = -60

∴ The stress function satisfies the conditions of compatibility for a two-dimensional problem.

Stress components are given as,

σx = (C11εx + C12εy)

σy = (C21εx + C22εy)

τxy = (C44γxy)

Here,C11 = C22 = 100, C12 = C21 = -60 and C44 = 0

Therefore,

σx = 100(100x - 60y) - 60(-140y - 60x)

= 19600x - 8800

yσy = -60(100x - 60y) + 100(-140y - 60x)

= -19600y + 8800x

τxy = 0

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Answer:

0.05?? this is random stuff bc it says I need 20 characters

Answer:

15

Step-by-step explanation:

5% = 1/20 = 0.05

0.05 * 300 = 15

Answer:13/100x×4000=4500

13x×40=4500

480x=4500

x=4500/480

Answer:

Rs 12

Step-by-step explanation:

According to what I have understood;

13/100*4000= Rs Rs 512

So, Rs 4000 plus its VAT is

4000+ 512= Rs 4512

Then we need to find the difference, That is

Rs 4512 - Rs 4000= Rs 12

Answer:

yeah thats true

Step-by-step explanation:

Answer:

He'll pay $110.25

Step-by-step explanation:

To find the area, we divide the shape into two parts at approximately the middle line. The top shape is a trapezoid of base length 7 feet and height 6 feet, while the bottom shape is a parallelogram with one side equal to 4 feet.

Area of trapezoid = (7 + 4)/2 x 6

Area of trapezoid = 33 sq ft

Area of parallelogram = 4 x 4

Area of parallelogram = 16 sq ft

Total area = 49 sq ft

Cost = 2.25 x 49

Cost = $110.25