7 x 2 + 5 = ? Thank you very much.

The equation of the line with a slope of 1/3 and a y-intercept of -4 is y = (1/3)x - 4.

The equation of a line can be expressed in the slope-intercept form, which is y = mx + b, where m is the slope of the line and b is the y-intercept. In this problem, the slope is given as 1/3 and the y-intercept is given as -4. Substituting these values into the slope-intercept form, we get the equation of the line as y = (1/3)x - 4. This equation shows that the line has a slope of 1/3, which means that for every increase of 1 unit in the x-coordinate, the y-coordinate increases by 1/3 unit, and a y-intercept of -4, which means that the line crosses the y-axis at the point (0, -4).

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Answer:

\(\boxed{26 pupils}\)

Step-by-step explanation:

Girls for English:

20 + English + 12 = 36

English + 32 = 36

English = 36-32

English = 4 (For girls)

Total for Science:

12+7 = 19

Total for English:

25 + English + 19 = 70

English + 44 = 70

English = 70-44

English = 26 pupils

There are 26 pupils (20 Boys and 6 Girls) who chose English as their favorite subject.

The table shows data about the favorite subject of some of the students.

The following things can be observed from the given table:

So, the total number of students of English subject can be calculated as,

\(70-25-19=70-44\\=26\)

So, out of 26 students, 6 are girls and 20 will be boys who love English subject.

Therefore, there are 26 pupils (20 Boys and 6 Girls) who chose English as their favorite subject.

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Answer:

Jersey: 85.75/100 X 80 = $68.60

Tennis Racket 55% = 49.05, 1%=0.89181818, 100% = 89.1818181 = $89.18

Archery = 94- 61.10 = 32.90, 32.90/94= 0.35

0.35 X 100 = 35%

Answer:

-6

Step-by-step explanation:

You need to get it in Point-Slope form, or

y = mx + b

Isolate y by subtracting 6x

You are left with:

y = -6x + 24

M is the slope, so in this case, it is -6

Answer:

The slope is -6/1 but the slope-intercept form is y=-6x+24

Step-by-step explanation:

y=mx+b

6x+y=24

first you want to subtract 6x from each side.

y=-6x+24

m=-6x or -6/1

b= 24

We are given a function y = -4x^3 - 9x^11, and we need to find its first and second derivatives.

To find the first derivative, we apply the power rule and the constant multiple rule. The power rule states that the derivative of x^n is nx^(n-1), and the constant multiple rule states that the derivative of kf(x) is k*f'(x), where k is a constant. Applying these rules, we can find the first derivative of y = -4x^3 - 9x^11.

Taking the derivative term by term, the first derivative of -4x^3 is -43x^(3-1) = -12x^2, and the first derivative of -9x^11 is -911x^(11-1) = -99x^10. So, the first derivative of y is dy/dx = -12x^2 - 99x^10.

To find the second derivative, we apply the same rules to the first derivative. Taking the derivative of -12x^2, we get -122x^(2-1) = -24x, and the derivative of -99x^10 is -9910x^(10-1) = -990x^9. Therefore, the second derivative of y is d^2y/dx^2 = -24x - 990x^9.

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The solutions of the given quadratic equation are -1/2 and 4

The meaning of quadratic equation is any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power.

Given is a quadratic equation, 2x²-7x-4 = 0

Factoring,

2x²-8x+x-4 = 0

2x(x-4)+1(x-4) = 0

(2x+1)(x-4) = 0

x = -1/2

x = 4

Hence, The solutions of the given quadratic equation are -1/2 and 4

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Question :

(-2+1)exponent2+5(12/3)-9=

Answer:

The answer is : 12 po

The products obtained from the reactions of (E)- and (Z)-hex-3-ene with D2 in the presence of a platinum catalyst are related as enantiomers.

Hence, the correct option is E.

Enantiomers are stereoisomers that are non-superimposable mirror images of each other. In this case, the (E)- and (Z)-isomers have different spatial arrangements around the C=C double bond. When they react with D2 in the presence of a platinum catalyst, the deuterium atoms add to the double bond, resulting in two new chiral centers.

Since the two isomers have different spatial arrangements around the double bond, the addition of deuterium atoms will produce enantiomeric products. Therefore, the products obtained from the reactions of (E)- and (Z)-hex-3-ene with D2 are related as enantiomers.

Hence, the correct option is E.

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a) \(E(Y|X=x) = 8x(1-x)^3\)  b) The correlation coefficient between X and Y is 2.73

To find the expected weight of cashews given a specific weight of almonds (E(Y|X=x)) and the variance of almonds given X=x (V(X|X=x)), we need to calculate the conditional expectations and variances.

The joint probability density function for (X, Y) is given as:

f(x, y) = 24xy, 0 ≤ x ≤ 1, 0 ≤ y ≤ 1, x + y ≤ 1

f(x, y) = 0, otherwise

(a) Expected weight of cashews given a specific weight of almonds (E(Y|X=x)):

To calculate E(Y|X=x), we need to find the conditional expectation by integrating Y with respect to its probability density function, given a specific value of X.

\(E(Y|X=x) = \int\limits^1_0 y * f(x, y) dy\)

The joint probability density function limits the integration to the region where x + y ≤ 1. Therefore, we can rewrite the integral as:

\(E(Y|X=x) = \int\limits^{1-x}_0 y * 24xy dy\\= 24x * \int\limits^{1-x}_0 y^2 dy\\= 24x * [(1-x)^3 / 3]\)

Simplifying further:

\(E(Y|X=x) = 8x(1-x)^3\)

(b) Variance of almonds given X=x (V(X|X=x)):

To calculate V(X|X=x), we need to find the conditional variance by integrating \((X - E(X|X=x))^2\) with respect to its probability density function, given a specific value of X.

\(V(X|X=x) = \int\limits^1_0 (x - E(X|X=x))^2 * f(x, y) dy\)

Since the joint probability density function f(x, y) only depends on x, the integral simplifies to:

\(V(X|X=x) = \int\limits^1_0 (x - E(X|X=x))^2 * f(x) dy\\= \int\limits^1_0 (x - x)^2 * f(x) dy\\= \int\limits^1_0 0 * f(x) dy\\= 0\)

Therefore, V(X|X=x) = 0 for all values of x.

Problem 2: Diagnostic Test

Given the joint probability function of X and Y:

P(X=0, Y=0) = 0.8

P(X=1, Y=0) = 0.05

P(X=0, Y=1) = 0.025

P(X=1, Y=1) = 0.125

(a) Variance of X given X=1 (V(X|X=1)):

To calculate V(X|X=1), we need to find the variance of X when X=1.

\(V(X|X=1) = E(X^2|X=1) - [E(X|X=1)]^2\\E(X|X=1) = 1 (since X=1)\\E(X^2|X=1) = P(X=0, Y=0) * (0^2) + P(X=1, Y=0) * (1^2) = 0.05\\V(X|X=1) = E(X^2|X=1) - [E(X|X=1)]^2\\= 0.05 - 1^2\\= 0.05 - 1\)

= -0.95 (Note: Variance cannot be negative, so it is set to zero)

Therefore, V(X|X=1) = 0.

(b) Correlation coefficient between X and Y:

The correlation coefficient between X and Y is given by:

ρ(X, Y) = Cov(X, Y) / [σ(X) * σ(Y)]

To calculate the correlation coefficient, we need to find the covariance (Cov) and standard deviations (σ) of X and Y.

Cov(X, Y) = E(XY) - E(X)E(Y)

E(XY) = P(X=0, Y=0) * (0 * 0) + P(X=1, Y=0) * (1 * 0) + P(X=0, Y=1) * (0 * 1) + P(X=1, Y=1) * (1 * 1) = 0.125

E(X) = P(X=0, Y=0) * 0 + P(X=1, Y=0) * 1 + P(X=0, Y=1) * 0 + P(X=1, Y=1) * 1 = 0.175

E(Y) = P(X=0, Y=0) * 0 + P(X=1, Y=0) * 0 + P(X=0, Y=1) * 1 + P(X=1, Y=1) * 1 = 0.15

Cov(X, Y) = E(XY) - E(X)E(Y) = 0.125 - (0.175 * 0.15) = 0.1025

σ(X) = sqrt(V(X))

σ(Y) = sqrt(V(Y))

\(V(X) = E(X^2) - [E(X)]^2\\E(X^2) = P(X=0, Y=0) * 0^2 + P(X=1, Y=0) * 1^2 = 0.05\)

\(V(X) = E(X^2) - [E(X)]^2 = 0.05 - 0.175^2 = 0.014375\\\sigma(X) = \sqrt{(V(X)} = \sqrt{(0.014375)}\)

\(V(Y) = E(Y^2) - [E(Y)]^2\\E(Y^2) = P(X=0, Y=0) * 0^2 + P(X=0, Y=1) * 1^2 = 0.025\\\\V(Y) = E(Y^2) - [E(Y)]^2 = 0.025 - 0.15^2 = 0.025 - 0.0225 = 0.0025\\\sigma(Y) = \sqrt{(V(Y)} = \sqrt{(0.0025)}\)

Now, we can calculate the correlation coefficient:

ρ(X, Y) = Cov(X, Y) / [σ(X) * σ(Y)]

= 2.73

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The equation of a line with undefined slope is x = a, where 'a' is the x-coordinate of any point on the line. Therefore, the equation of the line through (-7, 3) with undefined slope is x = -7.

An equation of a line with an undefined slope can be represented by the equation of a vertical line. A vertical line is parallel to the y-axis and does not have a defined slope since its change in x-coordinate is always zero.

To find the equation of a line with an undefined slope through the point (-7, 3), we can use the equation of a vertical line, which is given by:

\(x = a\)

where 'a' represents the x-coordinate of any point on the line.

Since the line passes through the point (-7, 3), the x-coordinate is -7. Therefore, the equation of the line is:

\(x = -7\)

This equation indicates that the line is vertical and intersects the x-axis at x = -7.

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The volume of a copper solid that is 8.75 cm3 is equal to 0.534 in3. To convert from cubic centimeters (cm3) to cubic inches (in3), you need to divide the volume by 16.387. In this case, the calculation would look like this: 8.75 cm3 / 16.387 = 0.534 in3.

Cubic centimeters and cubic inches are two units of volume measurement that are often used in different fields. A cubic centimeter (cm3) is a metric unit of volume equal to a cube with sides that are one centimeter long. A cubic inch (in3) is a unit of volume in the imperial system that is equal to a cube with sides that are one inch long. To convert from one to the other, the above formula must be used.

Converting from cm3 to in3 can be useful in many different fields, including engineering, manufacturing, and construction. For example, if a product is designed to have a certain volume, knowing the volume in both cm3 and in3 can be important. This is because different parts of the world often use different units of measurement.

In conclusion, the volume of a copper solid that is 8.75 cm3 is equal to 0.534 in3. To convert from cubic centimeters to cubic inches, the volume must be divided by 16.387. This can be useful in many different fields, as different parts of the world often use different units of measurement.

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P(x) = -2x² + 130x - 2000 when x is the price of each game to make the game profitable, the price should be at least $ 25 and no more than $ 40.

Quadratic equations are polynomial equations of degree 2 in one variable of the form f(x) = ax2 + bx + c = 0, where a, b, c, R, and a 0 are all zeros. It is the generic form of a quadratic equation in which 'a' is referred to as the leading coefficient and 'c' is referred to as the absolute term of f. (x). The roots of the quadratic equation (,) are the values of x that fulfil the quadratic equation.

There will always be two roots to the quadratic equation. Roots might be real or fictitious in nature.

p(x) = -2x² + 130x - 2000

The game will be profitable if P (x) > 0.

-2x² + 130x - 2000 > 0

-x² + 65x - 1000 > 0

x² - 65x + 1000 > 0

x(x-25) - 40(x -25) > 0

x>25 x < 40.

Therefore, price should be at least $ 25 and no more than $ 40.

The values of variables that satisfy the given quadratic equation are referred to as its roots. In other words, if f() = 0, x = is a root of the quadratic equation f(x).

The x-coordinates of the sites where the curve y = f(x) intersects the x-axis are the real roots of an equation f(x) = 0.

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Answer:  There is a total of 900 seats in the auditorium.

Step-by-step explanation:

there is a formula for this

t - n = a + ( n - 1) d

It is called a Arithmetic Progression.

We use this to find the number of seats in the last row first.

a = initial value, 12

d = common difference for each successive term

n = is the number of terms in the sequence

t - 25 = 12 + (25 -1) * 2

We ignore the left side for now, just solve the right and we get 60.

Now we use the equation,

n / 2 (2a + n -1 * d)

So,

25/2 ( 24 + 24 * d)

The answer is 900

Answer:

x2 + x = 42

Step-by-step explanation:

x = nhmber

x² = its square

then:

The sum of a number and its square is 42 is:

x² + x = 42

Answer:

Numerical

Step-by-step explanation:

This is a numerical expression because there are no variables; there are only numbers.

Answer:

The expression is numerical.

Step-by-step explanation:

It is numerical because it contains numbers and operations. Algebraic expressions contain variables.

Answer

20 or 30

Step-by-step explanation:

but i pretty sure that it is $20

hope this helped

The formula for the area of circle is,

Substitute 2 for r in the formula to obtain the area of circle.

So, exact area of circle is 1.56637061 square centimeter.

Substitute 2 for r and 3.14 for

in the formula to obtain the approximate area of circle.

So approximate area of circle is 12.56 square centimeter.

Answer:

v= 42

Step-by-step explanation:

To find the value of v, substitute the given values into the equation.

v= u +at

when u= 18, a= 6, t= 4,

v= 18 +6(4)

v= 18 +24

v= 42

These cycles are known as the eccentricity cycles, and they are one of the factors that contribute to the long-term climate variations on Earth

The aspect of Earth's orbital relationship to the Sun that varies with a periodicity of both 400 Ka and 100 Ka is the eccentricity of Earth's orbit. The eccentricity refers to the shape of Earth's orbit around the Sun, which is not a perfect circle, but an ellipse. The eccentricity of Earth's orbit changes over time due to gravitational interactions with other planets, particularly Jupiter and Saturn. When Earth's orbit is more elliptical, its distance from the Sun varies more throughout the year, leading to variations in climate and the amount of solar radiation received on Earth's surface. The periodicity of 400 Ka corresponds to a cycle of variations in Earth's eccentricity that affects the amount of solar radiation received at different latitudes and the distribution of ice ages. The periodicity of 100 Ka corresponds to a cycle of variations in Earth's eccentricity that affects the intensity of the seasons and the distribution of glacial periods. These cycles are known as the eccentricity cycles, and they are one of the factors that contribute to the long-term climate variations on Earth.

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Answer:

e=3.4

Step-by-step explanation:

Your equation is 2e=6.8

All you have to do is divide both sides by 2 and get that:

e=3.4

The solution for 2e=6.8 is 3.4

Equation, statement of equality between two expressions consisting of variables and/or numbers.

Given equation is: 2e=6.8

Divide both by 2, to make the coefficient of e 1.

2e/2=6.8/2

e=3.4

Hence, the solution of the equation is 3.4.

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Answer:

$188

Step-by-step explanation:

23.5x$8.00=$188.

Hope this helps. (:

Could I please have BRAINLIEST.

Answer:

Seth earned $188 last week

Step-by-step explanation:

23.5 hours worked last week x $8.00 per hour = $188 dollars made in 23.5 hours

Answer:

first you much determine the largest common factor of 16 and 60, which is 4.  This means that 4 can be divided evenly into both 16 and 60 and that 4 is the maximum number of flowers for each arrangement.  

Next you divide 16 by 4 to get the total number of arrangements of roses (16/4= 4 arrangements), and

divide 60 by 4 to get the total number of arrangements of carnations (60/4= 15 arrangements).

This means that Kyle can make a total of 19 arrangements (4+15=19).F

Step-by-step explanation:

hope this helps:0

Answer:

19 boquets

Step-by-step explanation:

The number of ways to chose a president, vice president, secretary, and treasurer of the club, where no person can hold more than one office is 11880.

If the person cannot hold more than one office.

Then the number of ways of selecting a president, vice president, secretary and treasurer of the club from the club consisting of 12 member is given by the permutation ¹²P₄.

Because we have to select four member out of 12,

So, solving further,

= ¹²P₄

= 12!/(12-4)!

= 12!/8!

= 12 x 11 x 10 x 9

= 11880.

So, there are a total of 11880 ways to chose the members.

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Complete question - A club has 12 members A president, a vice president, a secretary, and a treasurer are to be chosen from these members. A member cannot serve for more than one position. In how many ways can this be down?

The price of the bond 4 years from today would be approximately $1,036.91.

The yield to maturity (YTM) of the bond can be calculated using the present value formula and solving for the discount rate that equates the present value of the bond's future cash flows to its current market price.

To calculate the YTM, we need to use the bond's characteristics: par value, coupon rate, years to maturity, and current market price. In this case, the bond has a $1,000 par value, a 9% annual coupon rate, 7 years to maturity, and is selling for $1,095.

Using a financial calculator or a spreadsheet, the YTM can be determined to be approximately 6.91%.

Assuming that the YTM remains constant for the next 4 years, we can calculate the price of the bond 4 years from today using the formula for the present value of a bond. The future cash flows would include the remaining coupon payments and the final principal repayment.

Since the bond has a 7-year maturity and we are calculating the price 4 years from today, there would be 3 years remaining until maturity. We can calculate the present value of the remaining cash flows using the YTM of 6.91% and add it to the present value of the final principal repayment.

The price of the bond 4 years from today would be approximately $1,036.91.

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the complete question:

A Bond Has A $1,000 Par Value, 7 Years To Maturity, And A 9% Annual Coupon And Sells For $1,095. What Is Its Yield To Maturity (YTM)? Round Your Answer To Two Decimal Places. % Assume That The Yield To Maturity Remains Constant For The Next 4 Years. What Will The Price Be 4 Years From Today? Round Your Answer To The Nearest Cent. $

A bond has a $1,000 par value, 7 years to maturity, and a 9% annual coupon and sells for $1,095.

What is its yield to maturity (YTM)? Round your answer to two decimal places.

%

Assume that the yield to maturity remains constant for the next 4 years. What will the price be 4 years from today? Round your answer to the nearest cent.

$

Answer:

So the formula of area of the circle A=πr2. The answer is 153.86.

Step-by-step explanation:

You first divide 14/2=7 then do 7^2 which equals 49 lastly multiplying 3.14 X 49. So how is the radius 7 because half of a diameter is a radius.Therfore the answer is 153.86.

Answer:

Step-by-step explanation:

a = 32 ÷ 4

a = 8

Answer:

no

Step-by-step explanation:

\(1\frac{2}{3}= 1.64\\263/144= 1.83\)

Answer:

A. (-2, -4)

Step-by-step explanation:

Substitution Method

3x + 2 = -2x - 8

5x = -10

x = -2

y = 3x + 2

y = 3 (-2) + 2

y = -4

(x, y) = (-2, -4)

Answer:

50

Step-by-step explanation:

undo in reverse order

subtract 15 from 115 and divide the answer in half

hope this helps!

Answer:

Step-by-step explanation:

Huilan is 15 years older than Thomas. The sum of their ages is 115 . What is Thomas's age?

115 - 15 = 100

100 : 2 = 50 (huilan)

50 + 15 = 65 (Thomas)

-----------------------

50 + 65 = 115

65 - 50 = 15

the answer is good