Solve the equation with logs on both sides of the equation. Please try to be quick

Answer:

a = 9

Step-by-step explanation:

For solve the problem we can use the Pythagorean theorem in this way

a^2 + (3√3)^2 = (6√3)^2

If we solve the equation we have

a^2 + 27 = 108

a^2 = 81

a = +/-9

we take only the the positive value because a length can’t be negative

a = 9

Answer:

−x2+2x−1=0

Step-by-step explanation:

To write an equation in standard form, move each term to the left side of the equation and simplify.

ax2+bx+c=0

Move 1

to the left side of the equation by subtracting it from both sides.

2x−x2−1=0

Reorder the polynomial.

−x2+2x−1=0

Answer and Step-by-step explanation:

Standard form of an equation is as follows:

Ax + By = C

We have 2x, -[tex]x^{2}[/tex], and a 1.

Subtract 1 from both sides.

[tex]-x^{2} + 2x - 1[/tex] = 0 is the equation in standard form.

#teamtrees #PAW (Plant And Water)

Answer:

They are parallel

Step-by-step explanation:

Answer:

equal sides!

Step-by-step explanation:

Answer:

Step-by-step explanation:

Both of them have sides that are equal. The second attribute is both of the shapes are parallel to each other

Answer:

15

Step-by-step explanation:

Answer: 6 more times!

Step-by-step explanation:

Answer:its 20

Step-by-step explanation:

because it is

Answer:

7248 A year

Step-by-step explanation:

Since the question was poorly described, i can only assume that Jack saves 141 more than betty and since the question didn't have any units i can't safely assume that 161 is (money)

Answer:

y = x² + 1

Step-by-step explanation:

y = x² + 1

When x = -3

y = -3² + 1

y = 9 + 1 = 10

When x = -1

y = x² + 1

y = -1² + 1

y = 1 + 1 = 2

When x = 0

y = x² + 1

y = 0² + 1 = 1

When x = 2

y = x² + 1

y = 2² + 1

y = 4 + 1 = 5

All of the x and y values have been correct

Answer:

A

Step-by-step explanation:

the others will not produce the correct value for the image ((y)), if you replace the incognito x in the equation by the -3, you can see that you only obtain the result 10 for y in the first equation. you don't even need to test all the cases.

-3.-3 +1 = 10

-3.-3 + 2 = 11

-3.-3 -1 = 8

-3.-3 -3 = 6

Answer:

3.2%

Step-by-step explanation:

The computation of the annual rate of interest is shown below:

As we know that

Simple interest = Principal × rate of interest × time period

($1,857.60 - $1,800)  = $1,800 × rate of interest × 1

$57.60 = $1,800 × rate of interest × 1

So, the rate  of interest is

= $57.60 ÷ $1,800 × 100

= 3.2%

Hence, the rate of interest on annual basis is 3.2%

Answer:

[tex] \sf \: 6 \times 35 = 15 \times n[/tex]

[tex] \sf \: \dfrac{6 \times 35}{15} = n[/tex]

[tex] \sf \: 14 = n[/tex]

Value of n is 14

Answer:

no

Step-by-step explanation:

Answer:

use desmos i swear its not a virus, like the other links, its a graphing calculator and u dont need to download anything. hope it helps.

Step-by-step explanation:

Answer:

3.14159265359

Step-by-step explanation:

Answer:

Option A and E.

Step-by-step explanation:

It is mentioned that Chiyo has a toolbox having a  rectangular prism shape with a length of 8 inches, width of 15 inches, and height of 6 inches.

In addition to this, A triangular prism with a triangular base with base 8 inches and height 3 inches. The prism has a height of 15 inches.  

So here the shape can be broken into a triangular prism and rectangular prism

Therefore the first option is correct

Now as we know that

Volume of the rectangular prism is

= l×b× h

= 8 × 15 × 6

= 720

And, the volume of the triangular prism is bh

And, the area of the triangular prism is 1 ÷ 2 × b × h

= 1 ÷ 2 × 8 × 3

= 12

Now the volume is

= 12 × 15

= 180

So, the volume of the tool box is

= 720 + 180

= 900

Hence, the last option is correct  

Answer:

15^2 = 8^2 + x^2 = 12.69.

Step-by-step explanation:

Answer: 7&8

Step-by-step explanation:

Answer:

For short Go all the down

Conversion a mixed number 8 1/4

to a improper fraction: 8 1/4 = 8 1/4

= 8 · 4 + 1/4

= 32 + 1/4

= 33/4

To find new numerator:

a) Multiply the whole number 8 by the denominator 4. Whole number 8 equally 8 * 4/4

= 32/4

b) Add the answer from previous step 32 to the numerator 1. New numerator is 32 + 1 = 33

c) Write a previous answer (new numerator 33) over the denominator 4.

Eight and one quarter is thirty-three quarters

Conversion a mixed number 3 2/5

to a improper fraction: 3 2/5 = 3 2/5

= 3 · 5 + 2/5

= 15 + 2/5

= 17/5

To find new numerator:

a) Multiply the whole number 3 by the denominator 5. Whole number 3 equally 3 * 5/5 = 15/5

b) Add the answer from previous step 15 to the numerator 2. New numerator is 15 + 2 = 17

c) Write a previous answer (new numerator 17) over the denominator 5.

Three and two fifths is seventeen fifths

Subtract: 33/4

- 17/5

= 33 · 5/4 · 5

- 17 · 4/5 · 4

= 165/20- 68/20

= 165 - 68/20

= 97/20

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(4, 5) = 20. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 4 × 5 = 20. In the next intermediate step, the fraction result cannot be further simplified by canceling.

In words - thirty-three quarters minus seventeen fifths = ninety-seven twentieths.

Conversion a mixed number 2 1/3

to a improper fraction: 2 1/3 = 2 1/3

= 2 · 3 + 1/3  

= 6 + 1/3  

= 7/3

To find new numerator:

a) Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/3

= 6/3

b) Add the answer from previous step 6 to the numerator 1. New numerator is 6 + 1 = 7

c) Write a previous answer (new numerator 7) over the denominator 3.

Two and one third is seven thirds

Subtract: 7/3  - 1/4  

= 7 · 4/3 · 4 - 1 · 3/4 · 3  

= 28/12- 3/12

= 28 - 3/12

= 25/12

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(3, 4) = 12. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 4 = 12. In the next intermediate step, the fraction result cannot be further simplified by canceling.

In words - seven thirds minus one quarter = twenty-five twelfths.

Subtract: the result of step No. 3 - the result of step No. 5 = 97/

20  - 25/12  

= 97 · 3/20 · 3  - 25 · 5/12 · 5  

= 291/60  - 125/60

= 291 - 125/60

= 166/60

= 2 · 83/2 · 30

= 83/30

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(20, 12) = 60. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 20 × 12 = 240. In the next intermediate step, , cancel by a common factor of 2 gives 83/30

In words - ninety-seven twentieths minus twenty-five twelfths = eighty-three thirtieths.

Step-by-step explanation:

83/30 is the awnser

Answer:

Parallel lines

Step-by-step explanation:

parallel lines are lines that dont touch

Answer:

2 × 54,000 ÷ (1+2)

£36,000

Step-by-step explanation:

Total cost of the business = £54,000

wages : other costs = 2 : 1

Total ratio = 2 + 1 = 3

How much do I spend on wages every year?

Amount spent on wages yearly = ratio of wages / total ratio × Total cost of the business

= 2 × 54,000 ÷ (1+2)

= 2/3 × £54,000

= £108,000/3

= £36,000

Amount spent on wages yearly = £36,000

Answer:

Step-by-step explanation:

We have solution:

Add up these two equations:

Find c:

The original equation is:

Answer:

A = 53°

AB = 23.3

BC = 18.6

Step-by-step explanation:

2. Given,

C = 90°

B = 37°

AC = 14

Required:

A, AB, and BC

Solution:

✔️A = 180 - (90 + 37) (sum of triangle)

A = 53°

✔️Find AB and BC using trigonometric function:

Reference angle = 37°

Opp = 14

Hyp = AB

Adj = BC

To find AB, apply SOH:

Sin 37 = Opp/Hyp

Sin 37 = 14/AB

AB = 14/Sin 37

AB = 23.262962 ≈ 23.3 (nearest tenth)

To find BC, apply TOA:

Tan 37 = Opp/Adj

Tan 37 = 14/BC

BC = 14/Tan 37

BC = 18.5786275 ≈ 18.6 (nearest tenth)

Answer:

-(6p^2+12p-7)

Step-by-step explanation:

p+7-6p^2-13p

-12p-6p^2+7

-(6p^2+12p-7)

Answer:

B

Step-by-step explanation:

Answer:

The amount more in interest she will pay if she choose 8 years instead of 5 years loan is approximately $2,665.92

Step-by-step explanation:

The total worth of debt Crystal has. P = $23,000

The options on the number of years for which the loans for consolidation are available, t = 5 and 8 years

n = 12 × t = The number of monthly payment = 12×5 = 60 or 12 × 8 = 96

The annual percentage rate of the loans, r = 6.75% = 0.0675

The monthly payments, 'M', Crystal pays is given as follows;

[tex]M = \dfrac{P \cdot \left(\dfrac{r}{12} \right )\cdot \left ( 1 + \dfrac{r}{12} \right)^{n} }{\left ( 1 + \dfrac{r}{12} \right)^{n} - 1}[/tex]

When n = 60, we get;

[tex]M = \dfrac{23,000 \times \left(\dfrac{0.0675}{12} \right )\cdot \left ( 1 + \dfrac{0.0675}{12} \right)^{60} }{\left ( 1 + \dfrac{0.0675}{12} \right)^{60} - 1} \approx 452.72[/tex]

The total amount payed, A = M × n

∴ The total amount payed when n = 60 is, A₅ = 452.72 × 60 = 27163.2

A₅ ≈ $ 27,163.2

The interest on the loan, I₅ = A₅ - P

∴ I₅ = $27,163.2 - $23,000 = $4,163.2

When n = 80, we get;

[tex]M = \dfrac{23,000 \times \left(\dfrac{0.0675}{12} \right )\cdot \left ( 1 + \dfrac{0.0675}{12} \right)^{96} }{\left ( 1 + \dfrac{0.0675}{12} \right)^{96} - 1} \approx 310.72[/tex]

∴ The total amount payed when n = 80 is, A₈ = 310.72 × 96 = 29,829.12

A₈ = $ 29,829.12

The interest on the loan, I₈ = A₈ - P

∴ The interest on the loan, I₈ = 29,829.12 - 23,000 = 6,829.12

The interest Crystal pays when takes the loan for 8 years, I₈ = $6,829.12

Therefore, the amount more interest she will pay if she choose 8 years instead of 5 years loan, ΔI = I₈ - I₅

ΔI = $6,829.12 - $4,163.2 = $2,665.92

The amount more interest she pays if she choose 8 years instead of 5 years loan, ΔI = $2,665.92.

Answer:

z

Step-by-step explanation: