What is the solution to the exponential equation 1/64 =2^x^+1

Step-by-step explanation:

x be the number of oranges

x + (x+2) = $4.20

2x + 2 = 4.20

2x = 2.20

x = 1.1

if you wanna check,

1.1 + (1.1 + 2) =$4.20

1.1 + 3.1 =$4.20

4.2 =$4.20

Alex = x = 1.1 oranges

Bobbie = (x+2) = 1.1 + 2 = 3.1 oranges

I'm not sure of the answer tho^^

The sum of the series b 2 b 4 b 6 b 8 b {10} is \($\dfrac{180}{3}$\) since it is a geometric series with a common ratio of \($\dfrac{7}{4}$\).

Since the given series \($b 1 b 2 b 3 \cdots b {10}$\) has a sum of 180, it can be deduced that the series is a geometric series with a common ratio of\($\dfrac{7}{4}$\). This means that the ratio of any two consecutive terms in the series is a constant, \($\dfrac{7}{4}$\). Therefore, the sum of the series b 2 b 4 b 6 b 8 b {10} can be calculated as follows:

\($S = b2 + b4 + b6 + b8 + b_{10}$\)

\($= b2\left(\dfrac{7}{4}\right)^0 + b2\left(\dfrac{7}{4}\right)^2 + b2\left(\dfrac{7}{4}\right)^4 + b2\left(\dfrac{7}{4}\right)^6 + b2\left(\dfrac{7}{4}\right)^8$\)

\($= b2 \left[1 + \left(\dfrac{7}{4}\right)^2 + \left(\dfrac{7}{4}\right)^4 + \left(\dfrac{7}{4}\right)^6 + \left(\dfrac{7}{4}\right)^8\right]$\)

\($= b2 \left[\dfrac{1-\left(\dfrac{7}{4}\right)^{10}}{1-\left(\dfrac{7}{4}\right)^2}\right]$\)

\($= b2 \left[\dfrac{1-\left(\dfrac{7}{4}\right)^{10}}{\dfrac{3}{4}}\right]$\)

\($= \dfrac{4b2}{3} \left[1-\left(\dfrac{7}{4}\right)^{10}\right]$\)

Since the sum of the series\($b 1 b 2 b 3 \cdots b {10}$\) is 180, we can substitute $b2$ with \($\dfrac{180}{3}$\)nd calculate the sum of the series $b 2 b 4 b 6 b 8 b {10}$:

\($S = \dfrac{4\left(\dfrac{180}{3}\right)}{3} \left[1-\left(\dfrac{7}{4}\right)^{10}\right]$\)

\($= \dfrac{180}{3} \left[1-\left(\dfrac{7}{4}\right)^{10}\right]$\)

Therefore, the sum of the series \($b 2 b 4 b 6 b 8 b {10}$ is $\dfrac{180}{3}$\).

Learn more about ratio here

https://brainly.com/question/13419413

#SPJ4

The additional cost incurred in dollars when production is increased from 12 units to 15 units is -$2.28.

To find the additional cost incurred in dollars when production is increased from 12 units to 15 units, we need to calculate the difference in the marginal cost between these two production levels.

Given the marginal cost function: C′(x) = 0.12x^2 − 4x + 140

We can substitute x = 12 into the marginal cost function to find the marginal cost at 12 units:

C′(12) = 0.12(12)^2 − 4(12) + 140

C′(12) = 0.12(144) − 48 + 140

C′(12) = 17.28 − 48 + 140

C′(12) = 109.28

Similarly, we can substitute x = 15 into the marginal cost function to find the marginal cost at 15 units:

C′(15) = 0.12(15)^2 − 4(15) + 140

C′(15) = 0.12(225) − 60 + 140

C′(15) = 27 − 60 + 140

C′(15) = 107

Now, we can calculate the difference in marginal cost between 15 units and 12 units. The Additional cost wil be:

= C′(15) - C′(12)

= 107 - 109.28

= -2.28.

Read more about marginal cost

brainly.com/question/3200587

#SPJ1

Answer:

Probably 5

Step-by-step explanation:

This is an extremely confusing question.  Whoever wrote it most likely had a typo.

The little box in the corner of the triangle means that is 90 degrees. if that is the case, this is a simple question:

Apply pythagorean theorem (a^2 + b^2 = c^2)

In this case:

3^2 + 4^2 = x^2

x^2 = 25

x=5.

HOWEVER: the two given angles are 60 degrees and 50 degrees.

Which does not work. It creates an impossible triangle.

Answer:

im pretty sure its 1.63

Step-by-step explanation:

lmk if im wrong

Answer:

No.

Step-by-step explanation:

Substitute 4 (as x) and 2 (as y) into the 2 equations to see if they fit.

y = x - 2

2 = 4 - 2

2 = 2

The first equation is true for (4,2).

Now try the 2nd one.

y = 3x + 4

2 = 3(4) + 4

2 ≠ 16

So the 2nd equation is not true for (4,2).

Either one not true makes the solution incorrect.

No, (4, 2) is not the solution for system of Equation.

An assignment of values to the unknown variables that establishes the equality in the equation is referred to as a solution.

To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself.

Given:

Equations:

y= x-2 ............(1)

y= 3x+ 4.................(2)

Put the value of y from equation 1 to equation (2), we get

x- 2 = 3x+ 4

x- 3x = 4+ 2

-2x = 6

x= -3

and, y= -3 -2 = -5

So, the solution to the system is (-3, -5)

and, (4, 2) can only satisfy the Equation y= x-2 but does not satisfy y= 3x+ 4.

Learn more about Solution of Equation here:

https://brainly.com/question/545403

#SPJ2

Answer:  81 ÷ 54 = 1.5

Answer:

(x-1) (3x-5)

Step-by-step explanation:

i hope this helps have a wonderful day!

Answer:

i am only in 8th grade but this is the answer

(x-1)(3x-5)

Step-by-step explanation:

Answer:

4 and 4/11

Step-by-step explanation:

Answer:

4 4/11

Step-by-step explanation:

You start with 6/1 divided bye 11/8. You keep the 6/1, switch the division to multiplication, and flip the 11/8 to 8/11. You multiply the fractions and get 48/11. Simplifying gives 4 4/11.

Answer:

1.375 lbs

Step-by-step explanation:

Answer:

slope = -3

Step-by-step explanation:

⭐ What is the equation of a line in slope intercept form?

The given line of best fit is written in slope-intercept form. All we have to do is identify which term is the slope.

\(y = -3x + 5\)

-3 is the coefficient of x. Therefore, -3 is the slope.

Answer:

96cm cubed.

Step-by-step explanation:

The total cost of downloading 20 songs is $45.

The total cost of downloading ss songs is $11 + $1.0ss.

What does the word "cost" mean?

During the manufacturing or production of a company's goods and services, every expense incurred by the company is referred to as a cost.

                            In simplest terms, it is the amount of money that businesses invest in buying and selling goods.

The total cost of the of downloading songs is the sum of the fee per month and the cost of downloading songs.

Total cost of downloading 45 songs = cost per month x cost of downloading 45 songs

$11 + ($1 x 45)

$11 + $45

$56

Total cost of downloading ss songs = $11 + ($1 x ss)

$11 + $1ss

Learn more about cost

brainly.com/question/15135554

#SPJ1

Answer:

$43.20 total

$3.20 sales tax

Explication:

40*1.08=43.2

Answer:

sales tax = $3.20

total cost = $43.20

Step-by-step explanation:

To calculate the sales tax on an item, multiply the price of the item by the tax percent in decimal form. To convert a percent to decimal form, divide the percent by (100).

Sales tax percent: 8%

In decimal form: 0.08

Multiply the sales tax in decimal form by the price of the item to find out the sales tax amount,

(item_price) * (sales_tax)

= (40) * (0.08)

= 3.2

Sales tax amount: $3.20

To find the total cost of the product, add the sales tax amount to the item price,

(item_price) + (sales_tax_amount)

= 40 + 3.20

= 43.20

(17) The First part of the question asked us to find the formula used in determining measure of the amount of space in a rectangular prism which is invariably the volume.

The three dimensions needed to determine the Volume of a rectangular prism are:

Length

width

Height.

To get the volume, we mutiply the three together.

So:

Volume = Length * Width * Height.

V = L * W * H

Therefore, the correct option is C, which is V = L x W x H.

(18) Givne the following dimensios of a rectangular prism as:

Length = 4 cm

Width = 3 cm

Height = 5 cm

We are to find the volume

Recall, the formula for finding volume of the rectangular prism is:

V = L x W x H

V = 4 x 3 x 5

V = 60 cm³

Therefore, the volume of the rectangular prism = 60 cm³

So, the correct option is C, which is 60 cm³.

It took Ringani 2.8 years  to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate Compounded annually.The correct answer choice is C. 2.8 years.

To determine how long it took Ringani to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into an account with a 7.04% interest rate compounded annually, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A is the final amount

P is the principal amount (initial deposit)

r is the interest rate (in decimal form)

n is the number of times the interest is compounded per year

t is the time in years

In this case, we have:

P = R8,500.00

A = R30,000.00

r = 7.04% = 0.0704 (in decimal form)

n = 1 (compounded annually)

We want to find the value of t.

Using the formula, we can rearrange it to solve for t:

t = (log(A/P)) / (n * log(1 + r/n))

Substituting the given values, we have:

t = (log(30,000/8,500)) / (1 * log(1 + 0.0704/1))

Calculating this using a calculator, we find that t is approximately 2.8 years.

Therefore, it took Ringani approximately 2.8 years (rounded to one decimal place) to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate compounded annually.

The correct answer choice is C. 2.8 years.

For more questions on Compounded .

https://brainly.com/question/31474686

#SPJ8

Answer:

  see table below

Step-by-step explanation:

The exact metric conversions for length, mass, and volume are ...

An inch is 2.54 cm.

A pound is 0.45359237 kg.

A pint is 0.473176473 liters.

The approximate conversions would be ...

 2 inches ≈ 5 cm

  5 pounds ≈ 2 kg

  8 pints ≈ 4 liters

The triangles are similar by SSS congruence of triangles.

What is SSS congruence of triangles?

The two triangles are congruent if the three sides of one triangle are the same as the corresponding three sides (SSS) of the other triangle.

We are given two triangle ABC and PQR.

In order to see whether these are similar or not, we will use the SSS congruence of triangles.

The ratio of sides are:

⇒AB : PQ = 8 : 6

⇒AB : PQ = 4 : 3

Similarly,

⇒BC : QR = 12 : 9

⇒BC : QR = 4 : 3

Similarly,

⇒AC : PR = 12 : 9

⇒AC : PR = 4 : 3

Since, the ratio of all the sides is same so, the triangles are similar.

Hence, the triangles are similar by SSS congruence of triangles.

Learn more about SSS congruence from the given link

https://brainly.com/question/30105734

#SPJ1

Since, there are multiple questions so, the question answered above is attached below

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

For similar question on probability.

https://brainly.com/question/7965468  

#SPJ8

Solution:

2b would be the greatest common factor (GCF) between both 10b^3 and 4b.

Hope this helps!

The angle measure explained in the solution.

Given that, a || b, we need to find the missing angles,

∠1 = 42° [vertically opposite angles]

∠3 = 62° [vertically opposite angles]

∠2 = 180°-(∠1+62°) [angle in a straight line]

∠2 = 76°

∠4 = ∠2 [vertically opposite angle]

∠4 = 76°

∠4 = ∠9 = 76° [alternate angles]

∠9 = ∠12 = 76° [vertically opposite angle]

∠3 = ∠ 6 = 62° [alternate angles]

∠ 6 = ∠7 = 62° [vertically opposite angle]

∠3 + ∠5 = 180° [consecutive angles]

∠5 = 118°

∠5 = ∠8 = 118° [vertically opposite angle]

∠4 + ∠10 = 180° [consecutive angles]

∠10 = 104°

∠10 = ∠11 [vertically opposite angle]

Learn more about angles, click;

https://brainly.com/question/28451077

#SPJ1

Answer: ok?

Step-by-step explanation:

The the length of each side of the triangle are: 5 units, 8.7 units and 10 units respective

A triangle is a polygon with three sides, three angles, three vertices and sum of angles equal to 180 degrees

From the triangle, Using the trigonometric ratio of sine

Sin C = opposite/Hypothenuse

Sin30 = 5/H

Making h the subject of the relation we have

h= 5/sin30

h=5/0.5

Therefore the value of h=10 units

To find the third side use Pythagoras theorem

10² = 5²+p²

100-25 = p²

75 = p²

Taking the square of both sides

p=√75

p=8.7 units

Learn more about triangles on https://brainly.com/question/2773823

#SPJ1

Answer:

$3.45

× 9

________

$31.05 in all on parking

Mark me brainlist

Answer:

1000

Step-by-step explanation:

Answer:

Step-by-step explanation:

To calculate the total balance on the next billing date, we need to consider the average daily balance and the unpaid balance from the previous month.

Given:

Average daily balance for November = $700

Unpaid balance at the end of November = $1,400

Annual percentage rate (APR) = 15.6%

Step 1: Calculate the interest charged for the month of November.

Interest = (Average daily balance * APR * Number of days in the month) / 365

Number of days in November = 30

Interest = (700 * 0.156 * 30) / 365 = $36.44 (rounded to the nearest cent)

Step 2: Add the interest to the unpaid balance to get the total balance on December 1.

Total balance = Unpaid balance + Interest

Total balance = $1,400 + $36.44 = $1,436.44

Therefore, the total balance on the next billing date, December 1, is $1,436.44 (rounded to the nearest cent).

The total balance on the next billing date December 1 is $1,509.20.

The annual interest produced by a sum that is paid to investors or charged to borrowers is referred to as the annual percentage rate (APR).

Given,

Then, the percentage rate for November = \(\sf\frac{15.6}{100}\) × 700

\(\sf = \$109.20\)

Balance on 1st December = unpaid balance at the end of November + percentage rate

\(\sf = $1400 +$109.20\)

\(\sf =\$1509.20\)

Therefore, the total balance on the next billing date December 1 is $1,509.20.

To learn more about percentage rate, visit:

https://brainly.com/question/30127793

De acuerdo con la información podemos inferir que la población se refiere a los habitantes de la ciudad y la muestra es 40,000 personas.

Para identificar la información faltante debemos tener en cuenta la información del enunciado. En este caso nos dicen que quieren implementar una revista en una ciudad determinada y para identificar los temas de la revista debemos hacer una encuesta.

En este caso, la entrevista se realiza a 40,000 personas por lo que esta sería la muestra debido a que no podríamos realizar la encuesta a cada una de las personas que es habitante de la ciudad.

Nota: Esta pregunta está incompleta. Aquí está la información completa:

Aprenda más sobre población y muestra en: https://brainly.com/question/22903538

#SPJ1

Answer:

c

Step-by-step explanation: