A. 30.95
B. 30.9
C. 31
D. 30.96

Answer -

a+1/a = 3 -----(1)

a²+1/a² = 7

By doing square of equation 1

(a+1/a)² = 9

a²+1/a²+ 2 ×a × 1/a = 9 using (a+b)²=a²+b²+2ab

a²+1/a²+2=9

a² + 1/a² = 9-2

a²+1/a²= 7 Ans.

Answer: The area of this rectangle is x² + 12x + 8

Step-by-step explanation:

     Area of a rectangle:

A = L * W

A = L * W

A = 4 * (x² + 3x + 2)

A = 4x² + 12x + 8

Answer:

3/2= 1 1/2

Step-by-step explanation:

simply 3/2 as a decimal

Answer:

It’s c

Step-by-step explanation:

Bond A and C the annual interest rate is 1.126%.

Bond X and Y the annual interest rate is 1.25%.

The interest rate on a credit card is the cost of borrowing money. Interest rates on credit cards are often provided as an annual rate. This is known as the annual percentage rate (APR). You can avoid paying interest on purchases on most cards if you pay your amount in full each month by the due date.

The formula for Bond Coupon Rate

Bond Coupon Rate = Bond's current yield / 100

For bond A and C coupon rate is 7.5%.

For X and Y coupon rate is 8.4%.

Now, Annual Interest Rate

= Bond coupon rate x Bond's Face value

For bond A and C the annual interest rate

= 7.5% of $15

= $1.125

For bond X and Y the annual interest rate

= 8.4% of $15

= $1.26

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Since a force of 37 N is applied to the spring, the spring stretches by 9.74 cm

To answer the question, we need to know Hooke's law.

This states that the force, F on a stretched spring is directly proportional to its extension, x.

So, F ∝ x

Mathematically, F = kx where k = spring constant

Making x subject of the formula, we have

x = F/k

Given that F = 37 N and k = 380 N/m, we have

x = F/k

x = 37 N/380 N/m

x = 0.0974 m

x = 9.74 cm

So, the spring stretches by 9.74 cm

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Answer:

1. The size of shift from function f to function g is -12

2. The plot of the points of a function that is shifted only half as much as g from the parent function f is in the attached file in blue color.

Step-by-step explanation:

Parent function: f(x)=2^x

x=0→f(0)=2^0→f(0)=1

x=1→f(1)=2^1→f(1)=2

x=2→f(2)=2^2→f(2)=4

x=3→f(3)=2^3→f(3)=8

x=4→f(4)=2^4→f(4)=16

Size of the shift from function f to function g: s

s=g(0)-f(0)=-11-1→s=-12

s=g(1)-f(1)=-10-2→s=-12

s=g(2)-f(2)=-8-4→s=-12

s=g(3)-f(3)=-4-8→s=-12

s=g(4)-f(4)=4-16→s=-12

Points of a function h that is shifted only half as much as g from the parent function, f. Use the same x- values as used in the table for function:

s2=s/2→s2=(-12)/2→s2=-6

x   h(x)

0   1+(-6)=1-6=-5  

1    2+(-6)=2-6=-4

2   4+(-6)=4-6=-2

3    8+(-6)=8-6=2

4    16+(-6)=16-6=10

Answer:

x = 36.3°

using tane rule:

[tex]\sf tan(x)= \dfrac{opposite}{adjacent}[/tex]

Here!

=============

[tex]\hookrightarrow \sf tan(x) = \dfrac{22}{30}[/tex]

[tex]\hookrightarrow \sf x= tan^{-1}(\dfrac{22}{30} )[/tex]

[tex]\hookrightarrow \sf x= 36.253^{\circ \:}[/tex]

[tex]\hookrightarrow \sf x= 36.3^{\circ \:}[/tex]        ( rounded to nearest tenth of a degree)

Let's find

[tex]\\ \rm\Rrightarrow tan\theta=\dfrac{Perpendicular}{Base}[/tex]

[tex]\\ \rm\Rrightarrow tan\theta=\dfrac{22}{30}[/tex]

[tex]\\ \rm\Rrightarrow tan\theta=\dfrac{11}{15}[/tex]

[tex]\\ \rm\Rrightarrow tan\theta=0.734[/tex]

[tex]\\ \rm\Rrightarrow \theta=tan^{-1}(0.734)[/tex]

[tex]\\ \rm\Rrightarrow \theta=36.278°[/tex]

[tex]\\ \rm\Rrightarrow \theta=36.3°[/tex]

Answer:

384 cm

Step-by-step explanation:

Perimeter is the sum of all external sides. (do not mix this up with area. Perimeter is the easy one) :)

There are 4 external sides.

Top = bottom = 132 cm

Left = Right = 60 cm

Add all 4 sides:

2(132) + 2(60)

264 + 120 = 384 cm

Answer:

18 is the factor of 90 and 36 the rest are 1,2,3,6,9 hope it helps:)

Step-by-step explanation:

Step-by-step explanation:

If we add two matrices,

there rows and columns must be the same.

For example, consider matrix

[tex] \binom{4}{2} \binom{1}{3} + \binom{5}{9} [/tex]

we cant add these matrices by the first martix had 2 colums and 2 rows.

The second has 1 column and 2 rows.

Answer:

Step-by-step explanation:

According to the table 27 out of 50 surveyed households have 2 adults living in their home.

Use same ratio to find the total expected number:

Answer:

check photo for detailed analysis

Answer:

Two possibilities   --- see below

Step-by-step explanation:

x  first number   x+2  the next number

x   *   (x+2)  = x^2 + x = 1155

x^2 +2 x - 1155 = 0     Quadratic formula  shows

                                    x = 33   then    33, 35    

                                 or  x = -35   then  -35 , - 33

Answer:

48 square units

Step-by-step explanation:

area of triangle = base * height / 2

base = x+1

height = 8x

area = (x+1)(8x)/2 = (8x²+8x)/2 = 4x²+4x

area of rectangle = length * width = (5x+1)(x) = 5x²+x

set the two areas to be equal to each other

5x²+x = 4x²+4x

divide both sides by x as that is a multiple of each value on each side

5x + 1 = 4x + 4

subtract 4x from both sides to limit the variable to one side

x + 1 = 4

subtract both sides by 1 to isolate the variable

x = 3

area = (5x+1)(x) = (5*3+1)(3) = 16 * 3 = 48 square units

Answer:

A

a notebook costs $2.50

a poem costs $1.50

B

he can buy 3 pens (and correspondingly 9 notebooks)

Step-by-step explanation:

x = price of 1 notebook

y = price of 1 pen

4x + 3y = 14.5

5x + 6y = 21.5

let's multiply the first equating by -2 and then add both equations

-8x - 6y = -29

5x + 6y = 21.5

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

-3x 0 = -7.5

x = 2.5 = $2.50

4×2.5 + 3y = 14.5

10 + 3y = 14.5

3y = 4.5

y = 1.5 = $1.50

p = number of pens

n = number of notebooks

n = 3p

p×1.5 + n×2.5 = 27

p×1.5 + 3p×2.5 = 27

(1.5 + 7.5)p = 27

9p = 27

p = 3

Answer:

For ur information...

Area can never be negative

It will always be positive

Answer:

40/169

Step-by-step explanation:

Answer:

chord divides a circle into two segments

Step-by-step explanation:

please consider as brainlest if i helped yoy

Answer:

Two

Step-by-step explanation:

A chord divides a circle into two segments

Answer:

B=49

Step-by-step explanation:

multiply means add powers

The total amount of the mortgage for Jack and Dina King if the closing costs are financed is $436,344.

Closing costs of a mortgage are the extra expenses that property buyers and sellers usually incur in a real estate transaction.

Some of the closing costs include:

Question Completion and Calculations:

Application Fee $252

Borrower’s Credit Check $65

Points 2.00% of Mortgage = $8,400 ($420,000 x 2%)

Appraisal Fee $325

Title Search $212

Title Insurance $410

Inspection $350

Attorney Fee $450

Documentation Stamp 0.30% of Mortgage = $1,260 ($420,000 x 0.30%)

Processing Fee 1.10% of Mortgage = $4,620 ($420,000 x 1.1%)

Total closing costs = $16,344

Mortgage loan = $420,000

Total amount of financing required = $436,344 ($420,000 + $16,344)

Thus, the total amount of the mortgage for Jack and Dina King if the closing costs are financed is $436,344.

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Answer:

The answer is 290,837

Answer:

4

Step-by-step explanation:

(4,5)

Hope it helps.

Do comment if you have any query.

Answer:

that can help because all you need to remember is that the sum of the angles in a triangle is half of the sum of the angles that add up in a quadrilateral.

Answer: C: (x - 4)² + (y+2)² = 25

Step-by-step explanation:

The formula for a circle is: (x - h)^2 + (y - k)^2 = r^2

Using this, the formula should be:

C: (x - 4)² + (y+2)² = 25

Answer:

y = 0

Here's the graph:

Answer:

Graph A. On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 49) and (0, 100).

Step-by-step explanation:

Edge

Answer:

it's 10

Step-by-step explanation:

A ratio of 2:5 means it is probably counting by 5s. Since 5 X 5 equals 25, 2 X 5 equals 10. since ethe larger polygon is 25, this means the number can't be bigger than 25 so it is counting by fives.

Answer:

3x 10^4 NOT NEGATIVE! POSITIVE