you hold a spherical salad bowl 90 cm in front of your face with the bottom of the bowl facing you. the salad bowl is made of polished metal with a 40 −cm radius of curvature.

The coordinates of the y-intercept is (0, 10)

The coordinate of the x-intercept is (5 / 2, 0)

Cynthia is participating in the Spartan Super, a 10-mile obstacle course.  She completes 4 miles of the obstacle course every hour.

Cynthia’s distance from this finish line, y, after x hours is represented by the function 4x + y = 10.

Therefore, the y-intercept is the point where a graph crosses the y-axis. In other words, it is the value of y when x = 0.

The x-intercept is where a line crosses the x-axis. The x-intercept is the value of x when y = 0.

Linear function in slope intercept form is as follows:

y = mx + b

where

Hence,

4x + y = 10

y = -4x + 10

Hence, y-intercept is 10.

y = -4x + 10

Let's find x-intercept

0 = -4x + 10

-10 = -4x

x = 10 / 4

x = 5 / 2

x-intercept is 5 / 2.

Hence the coordinate of the y-intercept is (0, 10) and the x-intercept is (5 / 2, 0)

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Answer:

The answer is 2

Step-by-step explanation:

5x + 7y = -11

y = -3

Now, put the value of y in the given equation we get,

5x + 7y = -11

5x + 7(-3) = -11

5x - 21 = -11

5x - 21 + 21 = 21 - 11

5x = 10

5x/5 = 10/5

x = 2

Thus, The value of x is 2

Fundamental theorem of arithmetic states that each positive integer n is greater than 1 represented by unique set of prime numbers.

Explanation:

Fundamental theorem of arithmetic states that all the positive integer n is greater than 1 represented by multiples of prime numbers or the number itself is a prime number.

For example :

Let us consider 56 be a integer greater than 1

56 = 2 × 2 × 2 × 7

2 and 7 both are prime numbers

another example :

29 = 29 × 1

29 itself is a prime number.

Factorization of the given numbers itself prove the fundamental theorem of arithmetic.

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C. Albino alligators are very rare.

What is crocodiles ?

Crocodiles are large reptiles found in tropical regions of Africa, Asia, the Americas and Australia. They are members of the order Crocodilia, which also includes caimans, gharials and alligators.

crocodiles are more than alligators in the reptile tent because Albino alligators are very rare. according to the passage there are more types of crocodiles ans less alligators.

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Answer:

the first number is 20, second is 9

Step-by-step explanation:

y=3x-7

y+x=29

rearrange the first equation

y-3x=-7

and

y+x=29

solving the simultaneous equation:

y-3x=-7

            -

y+x=29

= -4x=-36

divide both sides by -4

x = 9

now substitute the x value into the equation: y+x=29

= y + 9 = 29

y = 20

Answer:

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Question

The perimeter of a shape is 25.71 cm calculate the value of the radius X takes pie to be 3.142

Answer · 15 votes

Answer:5 cmStep-by-step explanation:Given a semicircle with perimeter 25.71 cm, we are required to find the radius of the circle.Circumference of a Semicircle=Length of the Circular part+Length of the diameter[tex]=\pi r+2r[/tex][tex]If \: \pi=3.142, C=25.71\Then:\25.71=3.142r+2r (3.142+2)=25.71\5.142r=25.71 =25.71 \div5.142 =5cm[/tex]

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The perimeter of the semicircle is 25.71 cm. Calculate the value

Answer:

Step-by-step explanation:

Are you after a solution for y?

quotient of y and 3 is a fancy word for division

y/3+9=10

To solve for y subtract 9 from both sides

y/3+9-9=10-9

y/3=1

To solve for y

multiply both sides by 3

3(y/3)=1*3

y=3

The percent of increase in yearly sales is 35%.

A percentage increase means the eventual increase in the quantity in percent form. The percentage increase formula is use to compare growth in a quantity from the initial value to its final value over a period of time.

The formula for getting a percentage increase is "[(Final Value - Initial Value)/Initial Value] × 100"

Initial value = 720,460 pictures

Final value = 972,621 pictures.

The percentage increase:

= [(972,621 - 720,460] / 720,460} * 100

= 0.35 * 100

= 35%

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The inequality - 2 · x + y > - 4 represents the figure on Cartesian plane.

In this problem we have a picture with a representation of a linear inequality of the form:

y > m · x + b

Where:

By analytic geometry, a line can be generated from the knowledge of the location of two points on Cartesian plane. First, determine the equation of the line:

m · 0 + b = - 4

2 · m + b = 0

b = - 4

2 · m = - b

m = - b / 2

m = 2

Second, write the inequality:

y > 2 · x - 4

- 2 · x + y > - 4

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George Canter showed that, for any set a, we have |a|<|p(a)|. This is a well-known theorem of canter, known as the 'Canter's Theorem'.

Proving this theorem:                                              

Proof: At the first instance, we need to show that, A bar ≤P(A) bar, we will define the injection by  f:A→P(A) by: f(a)={a}. Let g be the contradiction.

We need to prove that there is no bijection  g:A→P(A).

Now, Let: S={a∈A:a∉g(a)}⊆A.}

In the present condition, there are two possibilities,  first, x∈S  and second, x∉S.

Therefore,

1. If x∈S, then x∉g(x)=S, i.e., x∉S, a contradiction.

2. If x∉S, then x∈g(x)=S, i.e., x∈S, a contradiction.

Thus, such a bijection, is not possible.

This theorem, coined by Canter, basically implies that there is no largest cardinal number present. There are 'n' number of cardinal numbers present, i.e., there are infinite number of cardinal numbers.

Now, suppose that, A is a set of all sets, this was proved by the continuum hypothesis.  But, the continuum hypothesis can't be proved. It can't be disproved also.

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Answer:             5

Step-by-step explanation: because

Answer: y=—2/3x+2

Step-by-step explanation:

The company's cost of preferred stock is 9.08%, which means the correct answer is B) 9.08%. The cost of a service may be determined by the amount of time and expertise required to provide it. In general, cost is an important factor in determining the feasibility and profitability of a project or business venture.

Cost refers to the amount of money that is required to purchase or produce something. For example, the cost of a product may be determined by the amount of materials and labor that went into producing it, as well as any other expenses associated with bringing it to market.

To calculate the company's cost of preferred stock, we need to use the following formula:

Cost of preferred stock = annual dividend / price per share - flotation cost

In this case, the annual dividend is $8.50, the price per share is $97.50, and the flotation cost is 4.00% of the price paid by investors. Plugging these values into the formula, we get:

Cost of preferred stock = $8.50 / $97.50 - 4.00% = $8.50 / $97.50 * (1 - 0.04) = $8.50 / $93.80 = 0.0908

Therefore, the company's cost of preferred stock is 9.08%, which means the correct answer is B) 9.08%.

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The term that describes measures that would be taken to decrease the size of a professional sports is contraction.

Contraction is the act of decreasing or drawing collectively to make smaller; the alternative of expansion. In this case, the proprietors need to lessen the wide variety of groups with the aid of using removing franchises which are dropping the maximum money. Players who're on Minor League or break up contracts aren't completely assured their salaries. A participant on a break up or Minor League settlement will earn the prorated part of his Major League earnings for time spent at the Major League roster.

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Answer:

For every 1 box Naveah moves, Michael moves 4 boxes

The sample mean is less than 26.92 hours per week .

What is  standard deviation?

Your dataset's average level of variability is represented by the standard deviation. In general, it reveals how far away from the mean each value is.

                  A low standard deviation denotes that values are grouped closely to the mean, while a high standard deviation denotes that values are typically spread widely from the mean.

Let X~ Normal (26, 4/√16) distribution ie Normal (26, 1) distribution

We want,

P(X<a) = 0.82

Using standard normal approximation,

P(z< (a-26)/1) = 0.82

Using standard normal distribution tables, we get

(a-26)/1 = 0.915

(Since P(z<0.915) = 0.82)

So, a= 26+0.915= 26.915

So the required value is 26.92 (rounded to two decimals)

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By using percentage, it can be calculated that

2% of the product of 19 and the average of 63,500, 65,000 and 66,500 = 24700

What is percentage?

Suppose, there is a number and the number has to be expressed as a fraction of 100. The fraction is called percentage.

For example, 7% means [tex]\frac{7}{100}[/tex]. Here, 7 is expressed as a percentage of 100.

This is a problem on percentage

The numbers are 63,500, 65,000 and 66,500

Average = [tex]\frac{63500 + 65000 + 66500}{3}[/tex] = 65000

Product of 19 and 65000 = 65000 [tex]\times[/tex] 19 = 1235000

2% of 1235000 = [tex]\frac{2}{100} \times 1235000[/tex] = 24700

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The rowing team's speed in still water is 6 miles per hours for 6 hours 15 minutes.

Given that,

In the same time it took to row 25 miles against the current, a rowing team was able to row 50 miles while travelling with it. 2 miles per hour was the current's speed.

We have to calculate the rowing team's speed in still water.

We know that,

Let rowing rate in still water = r

And current rate = c = 2 mph

Rowing with the current means the overall speed is r + c = r + 2

Rowing against the current means the overall speed is r - c = r - 2

Distance = Rate × Time

50 = (r+2) × t  ----->equation(1)  

25 = (r-2) × t  ----->equation(2)

By solving

Divide equation(1) by equation(2)

50/25 = (r+2) × t / (r-2) × t

2=r+2/r-2

2(r-2)=r+2

2r-4=r+2

2r-r=2+4

r=6mph

Substitute in equation(1)

50 = (r+2) × t

50=(6+2)×t

50=8t

t=50/8

t=6.25 hrs

t= 6 hours 15 minutes

Therefore, the rowing team's speed in still water is 6 miles per hours for 6 hours 15 minutes.

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Answer:

y = - [tex]\frac{4}{5}[/tex] x + [tex]\frac{41}{5}[/tex]

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{5}{4}[/tex] x - 1 ← is in slope- intercept form

with slope m = [tex]\frac{5}{4}[/tex]

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{5}{4} }[/tex] = - [tex]\frac{4}{5}[/tex] , then

y = - [tex]\frac{4}{5}[/tex] x + c ← is the partial equation of the perpendicular line

to find c substitute (4, 5 ) into the partial equation

5 = - [tex]\frac{16}{5}[/tex] + c ⇒ c = 5 + [tex]\frac{16}{5}[/tex] = [tex]\frac{25}{5}[/tex] + [tex]\frac{16}{5}[/tex] = [tex]\frac{41}{5}[/tex]

y = - [tex]\frac{4}{5}[/tex] x + [tex]\frac{41}{5}[/tex] ← equation of perpendicular line

(A) (4,0), (D) (0, -5), and (E)(2, -5/2) are the solutions of the given equation 5x – 4y = 20.

The equals sign is a symbol used in mathematical formulas to denote the equality of two expressions.

The typical form for linear equations with two variables is Ax+By=C.

For instance, the linear equation 2x+3y=5 is in standard form.

So, we have the equation:

5x – 4y = 20

(A) (4,0)

=5x−4y

=5(4)−4(0)

=20

=RHS

(4,0): YES

(B) (0,5)

=5x−4y

=5(0)−4(5)

=−20

≠RHS

(0,5): NO

(C) (−2, 5/2)

=5x−4y

=5(−2)−4(5/2)

=−10−10

=−20

(−2, 5/2): NO

(D) (0, -5)

=5x−4y

=5(0)−4(−5)

=20

=RHS

(0, -5): YES

(E) (2, -5/2)

=5x−4y

=5(2)-4(-5/2)

=10+10

=20

=RHS

(2, -5/2): YES

Therefore, (A) (4,0), (D) (0, -5), and (E)(2, -5/2) are the solutions of the given equation 5x – 4y = 20.

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Answer:

1/ $ 4.08

2/ $675.92

Step-by-step explanation:

Take 68 times 0.06% = $4.08

680 - 4.08= 675.92

Answer:

Step-by-step explanation:

40.80 it told me the answer

The length of the Hypotenuse for the given right angle triangle, is 10√5.

What is Hypotenuse?

A right-angled triangle's longest side, or the side opposite the right angle, is known as the hypotenuse in geometry. The Pythagorean theorem states that the hypotenuse's square length equals the sum of the squares of the lengths of the other two sides, and this can be used to determine the hypotenuse's length.

Let the two sides of right angle triangle are, a = 20 and b = 10.

We have to find the length of Hypotenuse.

Let x be the length of Hypotenuse.

So, by using the Pythagoras theorem,

[tex]a^2 + b^2 = x^2[/tex]

Plug a = 20, b = 10

[tex](20)^2 + (10)^2 = x^2\\400 + 100 = x^2\\500 = x^2\\x^2 = 500\\x = 10\sqrt{5}[/tex]

hence, the length of the Hypotenuse for the given right angle triangle, is 10√5.

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Proof of  angle 6 is congruent to angle 4 is given.

In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.

Angles of equal measure are said to have congruent angles.

Given,

∠1 ≅ ∠3

And we know from the vertical angles, property;

The angles opposite each other when two lines cross.

They are always equal.

And here we have two pairs of vertical angles,

So, ∠1 = ∠4

and ∠3 = ∠6

And ∠1 ≅ ∠3 is given.

So,  ∠1 ≅ ∠4

and ∠3 ≅ ∠6

Comparing, we get

∠4 ≅ ∠6

Therefore, ∠4 ≅ ∠6 is proved.

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The probability that the mean weight of the sample is less than 6.15 ounces as per the given data is 0.1806.

Mean, μ = 6.16 ounces

Standard Deviation, σ = 0.13 ounce

Sample size, n = 38

We are informed that the weight of the cans is distributed in a bell-shaped manner, which is a normal distribution.

Formula:

Z-score = ( x - ц) /standard deviation

Standard error due to sampling

=SD/√n

=0.13/ √(38)

=0.021

P(weight of the sample is less than 6.15 ounces)

P(X < 6.15) =P( Z< (6.15 - 6.16)/0.021 )

= P(Z> -0.476)

=0.1806 ( as per the Z- score table)

The probability that the sample's mean weight is less than 6.15 ounces is 0.1806.

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Answer:

6 7/12

Step-by-step explanation:

"12 1/4 - 5 2/3" is an expression.  It is not said to equal anything.  The "=" sign makes it an equation.  But we can evalute an expression by simplyfying it.  Let's do the subtraction.  We first need to convert one of the fractions so that it has the same denominator as the other.

12 1/4 - 5 2/3 can be written as (12 - 5)+(1/4 - 2/3)

(12 - 5)+(1/4 - 2/3)

(7)+(1/4 - 2/3)        Let's convert both fractions to have denominators of 12 [since 4*3 = 12]

7 + 1/4 - 2/3

7 + (1/4)*(3/3) - (2/3)*(4/4)   [Multiply the tqo fractions by (3/3) and (4/4), repectively.  This is OK since both are the equivalent of multiply by 1.  But it converts the denominators so that we can now add or subtract.

7 + (3/12) - (8/12)

7 - (5/12)

or 6 7/12

There are Three months in a quarter of a year.

To determine what is being asked, divide the total number by the denominator and get the portion using the numerator:

1 year = 4 quarters

1 quarter= [tex]\frac{1}{4}[/tex] year

1 year = 12 months

Thus,

1 quarter = (Total number of months in year) ÷ (Total number of quarters in a year)

1 quarter = [tex]\frac{12}{4}=3[/tex]

So, There are Three months in a quarter of a year.

One year typically refers to a period of 365 days or 12 months. It usually includes the entire calendar year from January 1st to December 31st. It can also refer to a fiscal year (a period of 12 consecutive months used for accounting purposes) or a school year (which may start in late summer).

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There are Three months in a quarter of a year.

To determine what is being asked, divide the total number by the denominator and get the portion using the numerator:

1 year = 4 quarters

1 quarter= [tex]\frac{1}{4}[/tex] year

1 year = 12 months

Thus,

1 quarter = (Total number of months in year) ÷ (Total number of quarters in a year)

1 quarter = [tex]\frac{12}{4} =3[/tex]

So, There are Three months in a quarter of a year.

One year typically refers to a period of 365 days or 12 months. It usually includes the entire calendar year from January 1st to December 31st. It can also refer to a fiscal year (a period of 12 consecutive months used for accounting purposes) or a school year (which may start in late summer).

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Answer:

Step-by-step explanation:

There a few ways to solve this system. Since each equation is set equal to y on the left side, that means that we can set the right side of each equation to be equal to each other. So,

3x - 4 = -2x + 6

This can now be solved for x:

5x - 4 = 6 (added 2x to each side)

5x = 10 (added 4 to each side)

x = 2 (divided each side by 5)

Now that we know what x must be, we can plug 5 in for x in either of the equations and solve for y:

y = 3(5) - 4

y = 6 -4

y=2

This means y should be 2. To make sure this answer is correct, we can plug our y and x numbers into the OTHER equation to see if it makes sense:

(2) = -2(2) + 6

2 = -4 + 6

2=2

That looks right, so x = 2 and y = 2

Using the area of the rectangle, we know that the length of the given rectangle is x + 9.

The area is described as the amount of space occupied by a flat (2-D) surface or shape of an object.

Take a marker pen and attract a square on a bit of paper. It is a 2-D figure.

The space the shape occupies on the article is called its Area. Consider your square as being composed of smaller unit squares.

So, we have the area of the rectangle as:

A(x)=2x^2+18x

Area formula: Area = length * width

So, the length of the rectangle will be:

Area = length * width

2x^2+18x = length * 2x

Length = (2x^2 + 18x) / 2x

With the help of long division:

2x√2x² + 18x

Length = x + 9

Therefore, using the area of the rectangle, we know that the length of the given rectangle is x + 9.

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Correct question:
The area of the rectangle is given by the polynomial function A(x)=2x^2+18x. If the width of the rectangle is 2x what is the length?

The length of g 1029.8 in the given  ΔFGH.

What is Trigonometric Functions?

Trigonometry uses six fundamental trigonometric operations. Trigonometric ratios describe these operations. The sine function, cosine function, secant function, co-secant function, tangent function, and co-tangent function are the six fundamental trigonometric functions. The ratio of sides of a right-angled triangle is the basis for trigonometric functions and identities. Using trigonometric formulas, the sine, cosine, tangent, secant, and cotangent values are calculated for the perpendicular side, hypotenuse, and base of a right triangle.

The Law of Sines (or Sine Rule) is very useful for solving triangles:

[tex]\frac{a}{sinA} = \frac{b}{sinB} + \frac{c}{sinC}[/tex]

840 / sin(38) = g /sin(49)

g = (840 / sin(38) ) *sin(49)

g= (840/0.615) *0.754 = 1029.8

Hence, the length of g 1029.8 in the given  ΔFGH.

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The matrices A and B are not inverse matrices

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

[tex]A = \left[\begin{array}{cc}-2&-3&2&-2\end{array}\right][/tex]

[tex]B = \left[\begin{array}{cc}1&-1&-1&2\end{array}\right][/tex]

To determine if the matrices are inverse matrices, we simply calculate the inverse of matrix A and then make the comparison.

The matrix A is given as

[tex]A = \left[\begin{array}{cc}-2&-3&2&-2\end{array}\right][/tex]

Calculate the determinant of the matrix A

So, we have the following representation

|A| = -2 * -2 + 3 * 2

Evaluate the sum of products

|A| = 10

The inverse is then calculated as

[tex]A^{-1} = \frac 1{10} * \left[\begin{array}{cc}-2&3&-2&-2\end{array}\right][/tex]

Evaluate

[tex]A^{-1} = \left[\begin{array}{cc}-\frac 1{5}&\frac 3{10}&-\frac 1{5}&-\frac 1{5}\end{array}\right][/tex]

When compared to matrix B, both matrices are different

Hence, the matrices are not inverse matrices

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