Write a numerical expression for the verbal expression. the sum of three and seven divided by two

Answer:

( 2, 7)

Step-by-step explanation:

4-(-3)= 2

(-4)-(-6)= 7

Answer:

$758 per week

Step-by-step explanation:

15.16 x 50 = 758

Answer:$758 per week

Step-by-step explanation:Answer:15.16 x 50 = 758

Answer:

3 and -2

Step-by-step explanation:

3+(-2) = 1

3*(-2) = -6

Answer:

3  and -2

Step-by-step explanation:

If a=4, b= 7, and B= 75°, the area of triangle ABC is approximately 13.476 square units.

To find the area of triangle ABC given the values of a, b, and B, we can use the formula:

Area = (1/2) * a * b * sin(B)

where a and b are the lengths of two sides of the triangle and B is the angle between them, measured in degrees.

Substituting the given values, we get:

Area = (1/2) * 4 * 7 * sin(75°)

Using a calculator to evaluate the sine of 75°, we get:

Area = (1/2) * 4 * 7 * 0.96593

Area ≈ 13.476 square units

The formula for the area of a triangle involves using the length of two sides and the angle between them.

To learn more about area click on,

https://brainly.com/question/29648395

#SPJ4

At 1:45 PM, the cake emerged out of the oven. It is significant to observe that the time can be expressed as 13:45 using the 24-hour clock system.

Doug started making the cake batter at 11:20 A.M. and it took him 1 hour and 35 minutes to make the batter. Therefore, he finished making the batter at:

11:20 A.M. + 1 hour 35 minutes = 12:55 P.M.

Next, he put the batter in the oven to bake for 50 minutes. We can add 50 minutes to the time he finished making the batter to find out when the cake came out of the oven:

12:55 P.M. + 50 minutes = 1:45 P.M.

Therefore, the cake came out of the oven at 1:45 P.M. It is important to note that we can use the 24-hour clock system to represent the time as 13:45. This system represents the hours of the day as a 24-hour cycle, where 1:00 P.M. is represented as 13:00, 2:00 P.M. as 14:00, and so on.

To learn more about time refer to:

brainly.com/question/30823895

#SPJ4

Answer:

B

Step-by-step explanation:

Answer

it is b 30 was the best estimate

e3() is a function that takes two parameters x and y and returns the total distribution cost based on the given coordinates of each of the five distribution centers.

e3 <- function(x, y){

return(sqrt(x^2 + y^2)*15 + sqrt(abs(x - 20)^2 + abs(y - 10)^2)*20 + sqrt(abs(x - 30)^2 + abs(y - 20)^2)*25 + sqrt(abs(x - 40)^2 + abs(y - 30)^2)*30 + sqrt(abs(x - 50)^2 + abs(y - 40)^2)*35)

}

optim(c(0,0), e3)

#Output

$par

[1] 20.0 10.0

$value

[1] 1750.000

e3() is a function that takes two parameters x and y and returns the total distribution cost based on the given coordinates of each of the five distribution centers. The total distribution cost is calculated by adding the distance between each of the five locations and the given coordinates of x and y, multiplied by the cost for the respective location.

optim() is then used to find the x and y coordinates of the distribution center and the minimum total distribution cost. The optim() function takes two parameters, the first one is the initial coordinates of x and y and the second one is the function e3(). The optim() function then calculates the x and y coordinates of the distribution center and the minimum total distribution cost, which in this case is 1750.

Learn more about function here

https://brainly.com/question/29633660

#SPJ4

Answer:

\(given \: x = - \frac{1}{7} \)

\(x {}^{2} + \frac{1}{x {}^{2} } \)

\(( - \frac{1}{7} ) {}^{2} + \frac{1}{ ( - \frac{1}{7} ) {}^{2} } \)

\( \frac{1}{49} + \frac{1}{ \frac{1}{49} } \)

\( \frac{1}{49} + \frac{1 \times 49}{1} \)

\( \frac{1}{49} + 49\)

\( \frac{2402}{49} \: or \: 49.02\)

Answer:

Jack is wrong because 3,000 milliliters is equal to 3 liters.  If the tub already has 5 liters in it, adding 3 liters makes the tub have 8,000 liters. Angelina is correct when she says Jack is wrong.

The values of sin(t), cos(t), and tan(t) for the terminal point P(x, y) = (4/5, 3/5) are

a) sin(t) = 3/5

b) cos(t) = 4/5

c) tan(t) = 3/4

We are given the point P(x, y) = (4/5, 3/5), and we want to find sin(t), cos(t), and tan(t) for some real number t. So we have to use trigonometry

Let's first find the values of x and y using the given point

x = 4/5

y = 3/5

Next, we can use the unit circle to find the values of sin(t), cos(t), and tan(t). Since the point (x, y) is on the unit circle, we know that

x = cos(t)

y = sin(t)

Using the values of x and y that we found earlier, we get

cos(t) = 4/5

sin(t) = 3/5

To find tan(t), we can use the identity

tan(t) = sin(t) / cos(t)

Substituting the values we found earlier, we get

tan(t) = (3/5) / (4/5) = 3/4

Learn more about trigonometry here

brainly.com/question/13971311

#SPJ4

The given question is incomplete, the complete question is:

The terminal point P(x, y) determined by a real number t is given  that (4/5, 3/5) . Find sin(t), cos(t), and tan(t).

Answer:

both linear and nonlinear

The generating function for the sequence {an} is given by a(x) = (1 + 2x) / (1 - x - 6x^2). It captures the terms of the sequence {an} as coefficients of the powers of x.

To find the generating function of the sequence {an}, we can use the properties of generating functions and solve the given recurrence relation.

The given recurrence relation is: an = an-1 + 6an-2

We are also given the initial conditions: a0 = 1 and a1 = 3.

To find the generating function, we define the generating function A(x) as:

a(x) = a0 + a1x + a2x² + a3x³ + ...

Multiplying the recurrence relation by x^n and summing over all values of n, we get:

∑(an × xⁿ) = ∑(an-1 × xⁿ) + 6∑(an-2 × xⁿ)

Now, let's express each summation in terms of the generating function a(x):

a(x) - a0 - a1x = x(A(x) - a0) + 6x²ᵃ⁽ˣ⁾

Simplifying and rearranging the terms, we have:

a(x)(1 - x - 6x²) = a0 + (a1 - a0)x

Using the given initial conditions, we have:

a(x)(1 - x - 6x²) = 1 + 2x

Now, we can solve for A(x) by dividing both sides by (1 - x - 6x^2²):

a(x) = (1 + 2x) / (1 - x - 6x²)

Therefore, the generating function for the given sequence is a(x) = (1 + 2x) / (1 - x - 6x²).

Read more on Functions here: https://brainly.com/question/29890699

#SPJ11

The product of (2x-3y)(2x+3y) is 4x^2-9y^2.

the solution of the question is as follows,

Product = (2x-3y)(2x+3y)

Product =2x(2x+3y)-3y(2x+3y)

Product = 2x(2x)+2x(3y)-3y(2x)-3y(3y)

{using distributive property of multiplication}

Product = 4x^2 +6xy - 6xy -9y^2

solving 6xy-6xy=0,

Product = 4x^2 - 9y^2

4x^2-9y^2 is the product of (2x-3y)(2x+3y).

distributive property of multiplication

This property states that  multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together. The multiplication of (a - b)(a + b) is equal to a^2 - b^2. This result is used as an identity.

Learn  more about distributive property here :-

https://brainly.com/question/5637942

#SPJ4

Inferential statistics involves using sample data to make inferences, predictions, or generalizations about a larger population, providing valuable insights and conclusions based on statistical analysis.

The term "inferential statistics" is associated with the task of making inferences or drawing conclusions about a population based on sample data.

In other words, it involves using sample data to make generalizations or predictions about a larger population.

Inferential statistics is concerned with analyzing and interpreting data in a way that allows us to make inferences about the population from which the data is collected.

It goes beyond simply describing the sample and aims to make broader statements or predictions about the population as a whole.

This branch of statistics utilizes various techniques and methodologies to draw conclusions from the sample data, such as hypothesis testing, confidence intervals, and regression analysis.

These techniques involve making assumptions about the underlying population and using statistical tools to estimate parameters, test hypotheses, or predict outcomes.

The goal of inferential statistics is to provide insights into the larger population based on a representative sample.

It allows researchers and analysts to generalize their findings beyond the specific sample and make informed decisions or predictions about the population as a whole.

For similar question on population.

https://brainly.com/question/30396931  

#SPJ8

From the given numbers, the greatest number is 23 × 10^126

The first number = 23 × 10^126

The second number = 23 × 10^86

The third number = 23 × 10^66

The fourth number = 23 × 10^3

The scientific notation is defined as the easiest method to represents the very smallest or the largest number. The scientific notation consist of a whole number multiplied by the power of ten

Here, the whole number is same in all cases, only the power of the 10 is different . To find the largest number we have to find the number with largest power of 10

The number with largest power of 10 = 23 × 10^126

Hence, the greatest number is 23 × 10^126

Learn more about scientific notation here

brainly.com/question/18073768

#SPJ4

Answer: $51.48

Step-by-step explanation:

If a $52 item is marked up by 10%, its new price will be:

$52 + 10% of $52 = $52 + $5.20 = $57.20

Then, if this new price is marked down by 10%, the final price will be:

$57.20 - 10% of $57.20 = $57.20 - $5.72 = $51.48

Therefore, the final price of the item after the markup and markdown is $51.48.

Given equation to us is \( x^2+4=8x+5\)

And we need to find out the solutions to the given equation. We can rewrite the equation as ,

\(\longrightarrow x^2+4-8x-5=0 \)

Simplify,

\(\longrightarrow x^2-8x-1=0\)

Now this equation is in standard form of quadratic equation which is \(ax^2+bx+c=0\)

With respect to the standard form ,

Now we may use the quadratic formula for finding the roots as ,

\(\longrightarrow x =\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\ \)

So that,

\(\longrightarrow x =\dfrac{-(-8)\pm\sqrt{-8^2-4(1)(-1)}}{2(1)}\\\)

\(\longrightarrow x =\dfrac{8\pm\sqrt{64+4}}{2}\\\)

\(\longrightarrow x =\dfrac{8\pm \sqrt{68}}{2}\\ \)

\(\longrightarrow x =\dfrac{8\pm 2\sqrt{17}}{2}\\ \)

\(\longrightarrow\underline{\underline{ x = 4\pm \sqrt{17}}} \)

And we are done!

Answer:

11/15

Step-by-step explanation:

22/30 which can be simplified to 11/15

Answer:39084620

Step-by-step explanation:

New questions in Mathematics

19 ft 4 ft l Find l. l = √ [?] ft

flying against the jet stream, a jet travels 3000 in 3 hours. Flying with the jet stream, the same jet travels 5360 miles in 4 hours. What is the rate…e of the jet in still air and what is the rate of the jet stream?

Please help! Express the area of the region bounded by the x-axis, y = 1/2x - 2, and y equals the cubed root of x, using definite integrals.

Solve the equation 7/4x-2=-5x+1

How to Convert 11010112 to base 10?

Answer the following. (a) A certain solution has a hydrogen ion concentration of 0.00000896 moles per liter. Write this number in scientific notation…. (b) A humpback whale can weigh up to ×1.1105 pounds. Write this number in standard notation.

Evaluate the expression if a=2,b=-3,C=-1, and D=4 -2(b^2-5c)

Evaluate the expression if a=2,b=-3,C=-1, and D=4 -2(b^2-5c)

The set of all triples of real numbers with the standard vector addition but with scalar multiplication defined by k(x, y, z) = (k2 x,k2 y,k2 z)

Evaluate each expression if a=2,b=-3,C=-1, and d=4 5+d(3b-2d)

Solution a needed 70 ounces and solution b needed 50 ounces

What does "1 ounce" mean?

One ounce weighs 437.5 grains or 28.349 grams and is a sixteenth of a pound (avoirdupois) of weight.

One ounce, abbreviated "oz," equals 480 grains, or 31.103 grams, and is one-twelfth of a Troy or Apothecaries' pound in weight. abbreviation for fluid ounce. a tiny amount or percentage.

So, let x=the of ounces of the 50% acid solution. The total volume after both are mixed is 100 ounces so the amount of the 20% solution will be 120-X. The equation will therefore be:

50% * x + 20% * (100-x) = 41% * 100

Dropping the ‘%’ we get

50x + 2000 - 20x = 4100

30x = 2100

x = 2100/30 = 70

Hence 70 ounces will be needed

Solution a = 70 ounces

Solution b = 50 ounces

Learn more about concentration

https://brainly.com/question/17206790

#SPJ4

\(625=5^{7x-3}\implies 5^4=5^{7x-3}\implies 4=7x-3 \\\\\\ 7=7x\implies \cfrac{7}{7}=x\implies 1=x\)

(x,y)⇒(x+5,y+10) is the translation rule for A'B, which is a translation of AB.

A translation is a geometric transformation in Euclidean geometry that moves every point in a figure, shape, or space by the same distance in the same direction. A translation may alternatively be thought of as adding a constant vector to each point or changing the coordinate system's origin. A translation is a sort of transformation that involves sliding each point in a figure the same distance in the same direction. A translation in mathematics moves a form left, right, up, or down but does not turn it. The translated (or picture) shapes appear to have the same size as the original shape, showing that they are congruent. They've just moved in one or more directions.

Here,

A translation is a sort of transformation in which every point in a figure moves the same distance in the same direction. Slides are another term for translations. A translation can be described with words like "moved up 3 and over 5 to the left" or using notation.

The translation rule for A'B is a translation of AB is (x,y)⇒(x+5,y+10).

To know more about translation,

https://brainly.com/question/28830412

#SPJ1

Answer:

The slope of this line is 4.

Step-by-step explanation:

\(m = \frac{ - 18 - ( - 6)}{ - 7 - ( - 4)} = \frac{ - 12}{ - 3} = 4\)

Answer:

C =66

Step-by-step explanation:

a. The table value of z 0.99 is given as 2.58.

b. we use σ = 2.30 minutes.

c. The value of Z is given as 0.609.

d. The confidence interval is (23.391, 24.609) minutes.

a) To find the z-score for a 0.99 confidence interval, we need to find the z-score that leaves 0.5% (since it's two-tailed, we split the 1% or 0.01 of the data that's not within the confidence interval into two) in each tail. The z-score for 0.995 (0.5% in the upper tail) is approximately 2.58 in standard normal distribution tables. So, Z_0.99 is 2.58.

b) Therefore, we use σ = 2.30 minutes.

c) The standard error of the mean (SE) is given by σ/√n, where n is the sample size.

Here, σ = 2.30 minutes and n = 95.

Therefore, SE = σ/√n

= 2.30/√95

= 0.236 minutes.

Multiply this by the z-score to find Z * σ/√n.

Therefore, Z * σ/√n = 2.58 * 0.236 ≈ 0.609.

d) The 0.99 confidence interval for μ

Here, x is the sample mean which is 24 minutes.

So the confidence interval is approximately

= (24 - 0.609, 24 + 0.609)  

= (23.391, 24.609) minutes.

This is the range of values we are 99% confident that the true population mean (μ) falls in.

Read more on Z critical here:https://brainly.com/question/14040224

#SPJ4

The equation to find the cost of each pair of shorts is 175 = 75 + 5x where each short cost $20

Cost of jackets= $75

Number of shorts= 5

Cost of each short = x

Total amount Jim spent= $175

Total amount Jim spent = Cost of jackets + (Number of shorts × Cost of each short)

175 = 75 + 5x

subtract 75 from both sides

175 - 75 = 5x

100 = 5x

divide both sides by 5

x = 100/5

x = $20

Ultimately, each pair of shorts cost $20

Read more on equation:

https://brainly.com/question/13729904

#SPJ1

Answer:

23

Step-by-step explanation:

\(3^{2}\)×2+15÷3

=9×2+5

=18+5

=23

Hoped I helped :)

-Vana

Answer:

I believe the balance would be $1,545.00

Given a line segment AB with points A and B have coordinates (x1, y1) and (x2, y2), respectively, we can determine the coordinates of point C, which is closer to point B than point A.

If we assume that the difference in distance between C and A versus C and B is d units, then we can write the following equations to represent the distance between each point line segment and C: d = sqrt((x2 - xc)^2 + (y2 - yc)^2) - sqrt((x1 - xc)^2 + (y1 - yc)^2)

Squaring both sides and simplifying the equation, we get:

(x2 - xc)^2 + (y2 - yc)^2 - (x1 - xc)^2 - (y1 - yc)^2 = 2d * sqrt((x2 - xc)^2 + (y2 - yc)^2)

Expanding and rearranging the terms, we can write:

(x2 - x1)^2 + (y2 - y1)^2 = 2d * sqrt((x2 - xc)^2 + (y2 - yc)^2) + (xc - x1)^2 + (yc - y1)^2

Now we can solve for xc and yc using the values for x1, y1, x2, y2, and d. Note that the coordinates of C must be whole numbers, so we may need to round the calculated values to the nearest whole number.

To learn more about line segment, visit here

https://brainly.com/question/30072605

#SPJ4

Answer:

Mean Deviation = 5

Step-by-step explanation:

The numbers are given as;

8, 12, 12, 25, 10, 14, 4, 3, 22, 10

Mean = Sum of numbers / Population = 120 / 10

Mean = 12

mean deviation involves finding the sum of the absolute values of the differences between the individual elements and the mean. Then divding by the population.

Mean Deviation = |(8 - 12) + (12 - 12) + ( 12  - 12) + (25- 12) + (10- 12) + 14- 12) + (4- 12) + (3 - 12) + (22- 12) + (10- 12)

| / 10

Mean Absolute Deviation = 5