Find
a
and
d
for an arithmetic sequence where the 5th term is 10 and the 6th term is 8.

Answer:

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

Step-by-step explanation:

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:

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:

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:

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]

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:

-2

Step-by-step explanation:

(-3x/2) - 3 = 3

add 3 to both sides

(-3x/2) = 3

multiply both sides by 2

-3x = 6

divide both sides by -3

x= -2

Answer:

3/2= 1 1/2

Step-by-step explanation:

simply 3/2 as a decimal

Answer:

3x 10^4 NOT NEGATIVE! POSITIVE

Answer:

Nevada is very small compared to the countries listed below. I don't understand.

Answer:

the answer is A or 0√5

hope it helps

BYE

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: 82:18 or 4.55:1

Expl:

The ratio of something describes how many x per y.

Here, we have 82 Board Games sold VS 18 Card Games.

The exact Ratio of BG to CG is 82:18 and when simplified you may find 4.55:1, by dividing 82/18, and checking with 4.55x18=82.

Hope this Helped!

Answer:

1

Step-by-step explanation:

4^(5)×4^(−7)÷4^(−2)

=4^(5+(-7)-(-2))

=4^(5-7+2)

=4^(0)

=1

Hey!

Heres how i got the answer

4^(5)×4^(−7)÷4^(−2)

=4^(5+(-7)-(-2))

=4^(5-7+2)

=4^(0)

Hope this helps!

Inflation will negatively affect your savings if it increases faster than your savings.

Inflation is when there is a persistent rise in the general price levels of an economy.

Savings is negatively affected if it increases faster than the rate of growth of ones savings. For example, if inflation increases at a rate of 20% and your savings increase by 10%. Te real increase in savings is 10% - 20% = -10%.

To learn more about inflation, please check: https://brainly.com/question/15692461

Answer:

A. Increases faster than your savings

Hope this helps :)

Answer:

B=49

Step-by-step explanation:

multiply means add powers

3827

hope it helps...!!!

Answer:

4

Step-by-step explanation:

(4,5)

Hope it helps.

Do comment if you have any query.

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: 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:

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:

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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The height of the balloon is given as h(t) = -16t² + 40t + 12 at 2 seconds, the height is 28 feet

An equation is an expression that shows the relationship between two or more numbers and variables.

Let h represent the height of the water balloon after t minutes, hence:

h(t) = -16t² + vt + h₀

Where h₀ is the initial height = 12 feet and v is the initial velocity, hence:

h(t) = -16t² + vt + 12

The height of 37 feet after 1.25 seconds, hence:

37 = -16(1.25)² + v(1.25) + 12

v = 40 m/s

h(t) = -16t² + 40t + 12

After 2 seconds:

h(t) = -16(2)² + 40(2) + 12

h(2) = 28 feet

The height of the balloon at 2 seconds is 28 feet

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Answer:

34,050 grams

Step-by-step explanation:

To convert pounds to grams, you must multiply the mass (75) by 454.

454 * 75 = 34,050

34,050 grams is equal to 75 pounds.

Hope this helps:)

a line through the origin with a slope of -2 (for every 1 unit to the right, move 2 units down)

when plotting, plug in values for x, i would recommend starting with 0, 1, and -1, then find y for each of these x values, then connect the points

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.

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.