Terry selected two cards. The sum of her card is -10. Can one of the cards be positive and the other be negative.

If 3x+ 5y= 4, the expression that is equivalent to the expression given as (6x+ 10y)(100x+ 100y) is  800x+ 800y

Linear equations are equations that have constant average rates of change.

Note that the constant average rates of change can also be regarded as the slope or the gradient

The equation is given as

3x + 5y = 4

The above equation is a linear equation

So, we have

3x + 5y = 4

Multiply by 2

So, we have

2 * (3x + 5y = 4)

Evaluate the product in the above equation

So, we have

6x + 10y = 8

The expression is given as

(6x+ 10y)(100x+ 100y)

Substitute 6x + 10y = 8 in the above expression

So, we have

8 x (100x+ 100y)

Evaluate the product

800x+ 800y

Hence, if 3x+ 5y= 4, the expression that is equivalent to the expression given as (6x+ 10y)(100x+ 100y) is  800x+ 800y

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Therefore , the solution of the given problem of  ordered pair  comes out to be -7 is the solution.

Two distinct variables that organize themselves in a way that implies a particular sequence are referred to as "ordered pairs". The main or second components, respectively, indicate the coordinates for the x and y positions in an order pair. The sample following employs close parentheses to show the ordered combination.

Here,

In the ordered pair

=>  (6, -7), the number -7 indicates the y-coordinate.

The x-coordinate is represented by number one in the sorted pair,

6, and the y-coordinate is represented by number two, -7.

So, -7 is the solution.

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The answer of the given question based on the number that represents the y-coordinate 6 or -7 is  the number -7 represents the y-coordinate.

In mathematics, a graph is a collection of points, called vertices or nodes, and lines connecting some or all of these points, called edges or arcs. Graphs are used to model and study relationships between objects or events.

Graphs can be used to represent a variety of things, like social networks, road networks, electrical circuits, chemical compounds, and more. They are also used in computer science and data analysis, where they can be used to represent data structures, algorithms, and data relationships.

There are different types of graphs, including directed and undirected graphs, weighted graph and unweighted graphs, and connected and disconnected graphs. The study of graphs is called graph theory, and it has applications in a variety of fields, including computer science, physics, engineering, and social sciences.

In the ordered pair (6, -7), the number -7 represents the y-coordinate.

In an ordered pair (x, y), the x-coordinate represents the horizontal position on the graph, while the y-coordinate represents the vertical position on the graph.

So, in the given ordered pair (6, -7), the number 6 represents the x-coordinate, and the number -7 represents the y-coordinate.

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Answer:

I believe the answer is 200 feet squared

Step-by-step explanation:

The probability that it will not rain on both Saturday and Sunday will be 0.2268.

From the information, meteorologist predicts that there is a 42% chance of rain on Saturday and a 54% chance of rain on Sunday.

The probability that it will not rain on both Saturday and Sunday will be:

= (1 - 42%) × (1 - 54%)

= 0.58 × 0.46

= 0.2268

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The exact circumferences of the inscribed and circumscribed circles for the given polygons are 8π cm and 15π cm, respectively.

To find the exact circumference of a circle inscribed or circumscribed by a polygon, we can use the Pythagorean theorem to determine the diameter of the circle.

In the case of an inscribed polygon, the diameter of the circle is equal to the diagonal of the polygon. Let's consider the polygon with a diagonal of 8 cm. If we draw a line connecting two non-adjacent vertices of the polygon, we get a diagonal that represents the diameter of the inscribed circle.

Using the Pythagorean theorem, we can find the length of this diagonal. Let's assume the sides of the polygon are a and b. Then the diagonal can be found using the equation: diagonal^2 = a^2 + b^2. Substituting the given values, we have 8^2 = a^2 + b^2. Solving this equation, we find that a^2 + b^2 = 64.

For the circumscribed polygon with a diagonal of 15 cm, the diameter of the circle is equal to the longest side of the polygon. Let's assume the longest side of the polygon is c. Therefore, the diameter of the circumscribed circle is 15 cm.

Once we have determined the diameter of the circle, we can calculate its circumference using the formula C = πd, where C is the circumference and d is the diameter.

For the inscribed circle, the circumference would be C = π(8) = 8π cm.

For the circumscribed circle, the circumference would be C = π(15) = 15π cm.

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Answer:34,000

Step-by-step explanation:

Answer:

its 34,000 because it below 5

Step-by-step explanation:

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Answer:

Dimensions of rectangular garden:

x = 25 feet   ( sides along the driveway)

y = 50 feet

Step-by-step explanation:

Rectangular area is:

A(r)  = x*y           (1)

if we call x one the driveway side the cost of that side will be

6*x

The cost of the other side parallel to driveway side is 2*x and cost of the others two sides are 4*y

Total costs:  C = 6*x + 2*x  * 4*y     (2)

From equation (1)

A(r)  = 1250 = x*y      ⇒⇒   y = 1250/ x

Plugging that value in equation (2) we get costs as a function of x

that is:

C(x) = 6*x + 2*x +  4* 1250/x

Taking derivatives on both sides of the equation

C´(x)  = 6 + 2 - 5000/x²

C´(x)  = 8 - 5000 /x²

C´(x) = 0       ⇒       8 - 5000 /x² = 0

8*x² -5000 = 0

x² = 5000/8

x² = 625

x = 25 feet

and    y = 1250/ 25

y = 50 ft

C(min) = 50*2*2 + 6*25 + 2*25

C(min) = 200 + 200

C(min) = 400 $

So, the minimum cost is $400.

The area of a rectangle is the region occupied by a rectangle within its four sides or boundaries.

And the formula is,

\(A=l\times b\)

Given that,

Area of the garden=1250 square feet.

Let, the length be \(x\) and the breadth be \(y\) then,

\(xy=1250...(1)\)

The total cost of the fence is,

\(C(x,y)=6x+2x+4y\\C(x,y)=8x+4y\\C(x)=8x+4(\frac{1250}{x} )\\\)

Now, differentiating the obtained equation we get,

\(C'(x)=8-\frac{4\times 1250}{x^2} =0\\x^2=625\\x=25\\y=50\)

Therefore the length is 25 ft

And breadth is 50ft

Now, calculating the minimum cost,

\(8(25)+4(50)=50\\=400\)

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Answer:

B

Step-by-step explanation:

Basically, you can rule out all of the other answers by the following criteria:

A is wrong because any y= equation without an x is just a straight horizontal line

C is wrong because any x= equation is just a vertical line

D is wrong because both lines shown are positive lines, and both equations in  answer D are negative

Therefore by process of elimination, the only answer that makes sense is B

Answer:

\(6 \sqrt{8} \sqrt{2} = 6 \sqrt{16} = 6(4) = 24\)

B is the correct answer.

Answer:

\(a(1) = 144\)

\(a(n) = 144{( - \frac{1}{6} )}^{n - 1} \)

\(a(n) = - \frac{1}{6} a(n - 1)\)

Answer:

28

-4 × 4 = 16

3 × 4= 12

12 + 16 =28

If ABCD is dilated by a scale factor of 3, the coordinate of B' would be (-6, 6).

In Geometry, dilation simply refers to a type of transformation which typically changes the size of a geometric object, but not its shape.

This ultimately implies that, the size of the geometric shape would be increased (stretched or enlarged) or decreased (compressed or reduced) based on the scale factor applied.

Next, we would apply a dilation to the coordinates of the pre-image by using a scale factor of 3 centered at the origin as follows:

Ordered pair B (-2, 2) → Ordered pair B' (-2 × 3, 2 × 3) = Ordered pair B' (-6, 6).

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Answer:

The correct answer is A.

Step-by-step explanation:

The correct answer is A.

To find the length of one side of the square, we need to take the square root of the area. Therefore, the square root of 90 is approximately 9.49 feet. Since this value falls between 9 feet and 10 feet, but is closer to 9 feet, the statement "√90 feet is between 9 feet and 10 feet but is closer to 9 feet" is true. So, Jimmy should cut the carpet to 9.49 feet to fit the square-shaped room.

The required cost of carpet is $1,148.

Hence option (c) is correct.

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

Cost of carpet of dimension 10 ft x 6 ft = $1230

Then cost of carpet of area 60 ft² = $1230

The cost of carpet per unit area = 1230/60

                                                      = $20.5

Area of carpet 7 ft x 8 ft =  56 ft²

Then the cost of this carpet

= 56x20.5

= 1,148

Therefore, the cost of carpet of dimension 7 ft x 8 ft = $1,148

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Answer:

A. the angular speed is 3771.4 rad/min

b. 5921 rpms

Step-by-step explanation: I just got this same question right on a test.

Answer:  11

Step-by-step explanation:The given expression is:

=

=

=

Substituting the value of b=-2 in above expression, we get

=

=

=

Thus, the value of the given expression is -11.

The csc(theta) = 1/sin(theta) = 1/(-2/√13) = -√13/2. So, the cosecant of theta is -√13/2.

To find the cosecant (csc) of theta when a point (-3, -2) lies on its terminal side, we need to determine the hypotenuse (r) of the right triangle formed by this point.

Using the Pythagorean theorem, r^2 = (-3)^2 + (-2)^2. So, r^2 = 9 + 4 = 13, and r = √13.

The csc(theta) is the reciprocal of sin(theta). Sin(theta) is calculated as the ratio of the opposite side (y-coordinate) to the hypotenuse, or sin(theta) = -2/√13.

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Answer:

Step-by-step explanation:

two-thirds = 2/3 = 0.67

We would set up the hypothesis test.

For the null hypothesis,

p = 0.67

For the alternative hypothesis,

p < 0.67

This is a left tailed test.

Considering the population proportion, probability of success, p = 0.67

q = probability of failure = 1 - p

q = 1 - 0.67 = 0.33

Considering the sample,

Sample proportion, P = x/n

Where

x = number of success = 1312

n = number of samples = 2186

P = 1312/2186 = 0.6

We would determine the test statistic which is the z score

z = (P - p)/√pq/n

z = (0.6 - 0.67)/√(0.67 × 0.33)/2186 = - 6.96

From the normal distribution table, the probability value corresponding to the z score is < 0.00001

Since alpha, 0.01 > than the p value, then we would reject the null hypothesis. Therefore, at 1% significance level, there is convincing evidence that fewer than two-thirds of hiring managers and HR professionals use social networking sites in this way.

From the circle the value of angle x is 90 degrees

We have to find the value of x

The radius of the circle is 18.5

As we observe the figure the angle x is opposite to the 90 degrees

The angle x and angle 90 degrees are vertical angles

We know that the vertical angles are equal or same

∠x = 90 degrees

Hence, the value of angle x is 90 degrees from the circle

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Answer:

C because you would have completed every outcome

To set up the amortization table, we can use the mortgage and interest formulas as follows:

Mortgage formula:

M = P [ i(1 + i)^n / (1 + i)^n - 1]

where M is the monthly payment, P is the principal (the amount borrowed), i is the monthly interest rate (APR divided by 12), and n is the total number of payments (20 years multiplied by 12 months per year).

Interest formula:

I = P * i

where I is the monthly interest payment, P is the remaining principal balance, and i is the monthly interest rate.

Using these formulas, we can set up the following amortization table for the first two months:

Month Payment Principal Interest Balance

1    $400,000

2    

To fill in the table, we need to calculate the monthly payment (M) and the monthly interest payment (I) for the first month, and then use these values to calculate the principal payment for the first month. We can then subtract the principal payment from the initial balance to get the balance for the second month, and repeat the process to fill in the remaining columns.

To calculate the monthly payment (M), we can use the mortgage formula:

M = P [ i(1 + i)^n / (1 + i)^n - 1]

where P is the principal amount, i is the monthly interest rate, and n is the total number of payments.

Plugging in the given values, we get:

M = 400,000 [ 0.00279 (1 + 0.00279)^240 / (1 + 0.00279)^240 - 1]

M = $2,304.14

Therefore, the monthly payment is $2,304.14.

To calculate the interest payment for the first month, we can use the interest formula:

I = P * i

where P is the remaining principal balance and i is the monthly interest rate.

Plugging in the values for the first month, we get:

I = 400,000 * 0.00279

I = $1,116.00

Therefore, the interest payment for the first month is $1,116.00.

To calculate the principal payment for the first month, we can subtract the interest payment from the monthly payment:

Principal payment = Monthly payment - Interest payment

Principal payment = $2,304.14 - $1,116.00

Principal payment = $1,188.14

Therefore, the principal payment for the first month is $1,188.14.

To calculate the balance for the second month, we can subtract the principal payment from the initial balance:

Balance = Initial balance - Principal payment

Balance = $400,000 -$1,188.14

Balance = $398,811.86

Therefore, the balance for the second month is $398,811.86.

Using these values, we can complete the first two rows of the amortization table as follows:

Month Payment Principal Interest Balance

1 $2,304.14 $1,188.14 $1,116.00 $398,811.86

2    

To fill in the remaining columns for the second month, we can repeat the process using the new balance of $398,811.86 as the principal amount for the second month. We can calculate the interest payment using the same method as before, and then subtract the interest payment from the monthly payment to get the principal payment. We can then subtract the principal payment from the balance to get the new balance for the third month, and repeat the process for the remaining months of the amortization period.

The correct answer is (j - k)(x) = 10 + x.

To find the difference in the amount of money between Joel's and Kevin's accounts, we subtract the value of Kevin's account (k(x)) from Joel's account (j(x)).

(j - k)(x) = (25 + 3x) - (15 + 2x)

            = 25 - 15 + 3x - 2x

            = 10 + x

This expression represents how much more money is in Joel's account compared to Kevin's account after x weeks.

Therefore, the correct function is (j - k)(x) = 10 + x.

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Answer:

326

Step-by-step explanation:

The value of the given expression is 326.

Given:

The given expression 2 hundreds + 12 tens + 6 ones.

To find:

The value of the given expression.

Explanation:

The numeric form of given expression is:

2 hundreds + 12 tens + 6 ones

2 hundreds + 12 tens + 6 ones

2 hundreds + 12 tens + 6 ones

Therefore, the value of the given expression is 326.

Hello there mate☺️,

The answer for your question is in the attached images .

✍️ By Benjemin ☺️

20.25 square units are enclosed between the two curves.

To find the area enclosed between the two curves, find their intersection points first.

Setting the equations equal to each other:

8x² - x³ + x = x² + 13x

Simplifying and rearranging:

x³ - 7x² - 12x = 0

Factoring out x:

x(x² - 7x - 12) = 0

Solving for x using the quadratic formula:

x = 0, x = 3, x = -4

The two curves intersect at x = 0, x = 3, and x = -4.

Next, determine which curve is on top of the other between these intersection points. We can do this by comparing their y-values for each x:

At x = -4, y = 128

At x = 0, y = 0

At x = 3, y = 27

So, the curve y = 8x² - x³ + x is on top of y = x² + 13x for x in the range -4 ≤ x ≤ 0, and y = x² + 13x is on top of y = 8x² - x³ + x for x in the range 0 ≤ x ≤ 3.

Now find the area between the curves using integration:

∫[from -4 to 0] [(8x² - x³ + x) - (x² + 13x)] dx + ∫[from 0 to 3] [(x² + 13x) - (8x² - x³ + x)] dx

Simplifying:

∫[from -4 to 0] (-x³ + 7x² - 12x) dx + ∫[from 0 to 3] (x³ - 7x² + 12x) dx

Integrating:

[-(1/4)x⁴ + (7/3)x³ - 6x²] from -4 to 0 + [(1/4)x⁴ - (7/3)x³ + 6x²] from 0 to 3

Simplifying:

(64/3) + (81/4) - (27/3) - (64/3) = 20.25

Therefore, the area enclosed between the two curves is 20.25 square units.

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Image transcribed:

(1 point) Find the area of the region that is enclosed between y = 8x² - x³ + x and y = x² + 13x.

The area is

Answer:

82% of 50 is 41

Step-by-step explanation:

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Answer:

a. 5

b. 36

c. 1/3

d. 1/6

Step-by-step explanation:

a. The answer is five because 9 people bike and 4 people walk and 9-4 is equal to 5

b. The is answer is 36 because 12 people walked, 9 people biked, 4 people walked, 6 people used a motorcycle and 5 people used a cab and 12+9+4+6+5=36

c. The answer is 1/3 because 12 people walked to school and there are 36 people in the class so 12/36 people walked to school, which can be simplified to 1/3.

d. The answer is 1/6 because 6 people used a motorcycle to go school and there are 36 people in the class so 6/36 people used a motorcycle which is equal to 1/6

Step-by-step explanation:

A: If there are 2 modes, x can be either 1 or 2.

B: To find the mode of the data set, we need to count how many times each number appears.

- 0 appears 2 times

- 1 appears 4 times

- 2 appears 4 times

- 3 appears 3 times

- 4 appears 1 time

Since both 1 and 2 appear 4 times in the data set, there are two modes.

For x, if we add it to the data set, then the mode must be x plus either 1 or 2.

If we choose x to be 2, then the mode would be 2, since 1 and 2 each appear 4 times, and adding another 2 would make it the mode.

So a possible value for x could be 2, and the mode would be 2.