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Answer 1

Answer: [tex]\Large\boxed{x=-\frac{4}{5} }[/tex]

Step-by-step explanation:

Given equation

[tex]-9+log_{4}(-5x)=-8[/tex]

Add 9 on both sides

[tex]-9+log_{4}(-5x)+9=-8+9[/tex]

[tex]log_{4}(-5x)=1[/tex]

Simplify the logarithm

[tex]-5x=4^1[/tex]

[tex]-5x=4[/tex]

Divide -5 on both sides

[tex]-5x\div-5=4\div-5[/tex]

[tex]\Large\boxed{x=-\frac{4}{5} }[/tex]

Hope this helps!! :)

Please let me know if you have any questions


Related Questions

PLEASE help with question ASAP ASAP

Answers

Answer:

No classification is guaranteed.

Use the method of equating coefficients to find the values of a, b, and c: (x+4)(ax2+bx+c)=−2x3−7x2+3x−4.

Answers

The values of the coefficients a, b and c in the equation is -2, 1 and -1 respectively.

What is an equation?

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

An independent variable is a variable that does not depend on any other variable for its value whereas a dependent variable is a variable that depend on any other variable for its value.

Given the polynomial:

-2x³ - 7x² + 3x - 4

Simplifying:

= -(2x² - x + 1)(x + 4)

Hence:

-2x³ - 7x² + 3x - 4 = (-2x² + x - 1)(x + 4)

(x + 4)(ax² + bx + c) = −2x³ − 7x² + 3x − 4

The values of the coefficients a, b and c in the equation is -2, 1 and -1 respectively.

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Show all work to write the expression in simplified rational exponent form:
[tex](\sqrt[4]{x^{2}+4 } )^{3}[/tex]
(Fourth root of x squared plus four, cubed)

Answers

Answer:

[tex]x^{\frac{1}{2} } + 48[/tex]

Step-by-step explanation:

This is hard to explain, but basically you use exponent rules to switch it to an exponent

[tex](\sqrt[4]{x^{2} +4} )^{3}[/tex]

It's easiest if you calculate [tex]4^{3}[/tex] first

4³ = 4 x 4 x 4 = 48

Then convert the root to a fraction exponent

[tex]\sqrt[4]{x^{2}} = x^{\frac{2}{4}} = x^{\frac{1}{2} }[/tex]

Combine them using addition, since addition was in the problem

[tex]x^{\frac{1}{2} } + 48[/tex]

I hope this helps!

Use a graphing tool to solve the equation for x. -4x − 1 = 5x + 4

Answers

Answer:

-5/9

Step-by-step explanation:

-4x - 1 = 5x +4   Add 4x to both sides

-1 = 9x + 4    Subtract 4 from both sides

-5 = 9x  Divide both sides by 9

-5/9 = x

A freighter has to go around an oil spill in the Pacific Ocean. The captain sails due east for 30 miles. Then he turns the ship and heads due north for 14 miles. What is the distance and direction of the ship from its original point of course correction? Round each number to the nearest whole number.

Answers

The distance and direction of the ship from its original point of course correction is 33 miles and 23° respectively.

What is an equation?

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

Pythagoras theorem is used to show the relationship between the sides of a right angled triangle.

Let x represent the distance travelled, hence:

x² = 14² + 30²

x = 33 miles

tanФ = 14/33

Ф = 23°

The distance and direction of the ship from its original point of course correction is 33 miles and 23° respectively.

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Two companies working together can clear a parcel of land in 8 hours. Working alone, it would take Company A 4 hours longer to clear the land than it would Company B. How long would it take Company B to clear the parcel of land alone?

Answers

The time taken for Company B to clear the parcel of land alone is 14.25 hours

Rate of work

Time for Company B to clear the parcel of land alone = xCompany B work rate = 1/x

Time for Company A to clear the parcel of land alone = x + 4Company A work rate = 1/x+4

Time for both Company to clear the parcel of land alone = 8 hoursBoth Company work rate = 1/8

1/8 = 1/x + 1/(x + 4)

1/8 = (x+4)+ (x) / (x)(x+4)

1/8 = (x+4+x) / (x² + 4x)

1/8 = 2x+4 / (x² + 4x)

cross product

1(x² + 4x) = 8(2x + 4)

x² + 4x = 16x + 32

x² + 4x - 16x - 32 = 0

x² - 12x - 32 = 0

Using quadratic formula

x = 14.25 or -2.25

The time taken for Company B to clear the parcel of land alone can only be positive,

Therefore, it is 14.25 hours

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the equation of a circle given the center (–4, 4) and raduis r = 5.

Answers

Answer:

x² + y² + 8x - 8y + 7 = 0

Step-by-step explanation:

Formula: (x - a)² + (y - b)²= r²

where,

a = -4

b = 4

Substitute a and b

( x - (-4))² + (y - 4)² = 5²

(x + 4)² + (y - 4)² = 25

Open Bracket( )

(x + 4) (x + 4) = x² + 4x + 4x + 16

(y - 4) (y - 4) = y² - 4y - 4y + 16

x² + 4x + 4x + 16 + y² - 4y - 4y + 16= 25

Collect Like Terms

x² + y² + 8x - 8y + 16 + 16 - 25 = 0

x² + y² + 8x - 8y + 7 = 0

Therefore,

x² + y² + 8x - 8y + 7 = 0

Is The Equation Of The Given Circle.

Determine the relationship between the angle θ of a circular sector of a circumference of radius 10 cm and the area Aθ of the sector; and calculate the area for an angle of π/4

Answers

The area is:

A = (θ/2)*R^2

The circumference is:

C = θ*R

And the area of the circle when the angle is π/4 is: 39.25 cm^2

How to find the area in terms of the angle?

For a circle of radius R, the area is:

A = pi*R^2

where pi = 3.14

And the circumference is:

C = 2*pi*R

Now, remember that a circle has an angle of 2pi radians, then if we only define an arc in the circle, defined by an angle θ, the area of said arc will be:

A = (θ/2pi)*pi*R^2 = (θ/2)*R^2

And the circumference is:

C = (θ/2pi)*2pi*R = θ*R

Now, we want to find the area when the circle has a radius R = 10cm and θ = pi/4

Replacing that in the area equation, we get:

A = (pi/4/2)*(10cm)^2 = (3.14/8)*(10cm)^2 = 39.25 cm^2

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Find the perimeter of the rectangle 2A+ 4
a

Answers

P=2(l+w)
L = length
W = Width

Is -2.3456 an irrational number

Answers

Answer:

No.

Step-by-step explanation:

Negative decimal numbers are rational numbers since rational numbers include all the integers both positive and negative integers, decimal as well as a fraction because decimals can be written as fractions.

can someone give the exact answer for all the blanks

Answers

Considering the given function, we have that:

f(a) = 4 - 2a + 6a²f(a + h) = 6a² + 12ah + 6h² - 2a - 2h + 4.[f(a + h) - f(a)]/h = 12a + 6h - 2.

What is the function for this problem?

The function is:

f(x) = 4 - 2x + 6x².

When x = a, we have that:

f(a) = 4 - 2a + 6a².

When x = a + h, we have that:

f(a + h) = 4 - 2(a + h) + 6(a + h)² = 6a² + 12ah + 6h² - 2a - 2h + 4.

For the fraction, we have that:

[f(a + h) - f(a)]/h = [6a² + 12ah + 6h² - 2a - 2h + 4 - 4 + 2a - 6a²]/h = [12ah + 6h² - 2h]/h = h(12a + 6h - 2)/h

Hence:

[f(a + h) - f(a)]/h = 12a + 6h - 2.

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3. What is the measure of angle B from the right triangle below?

Answers

Answer:

angle B = 78.46°

Step-by-step explanation:

Use the cosine ratio

[tex]cosB=\frac{2}{10} =0.2[/tex]

[tex]B=cos^{-1} (0.2)=78.46^{0}[/tex]

Hope this helps

find cube roots of -117 + 44i

Answers

By De Moivre's formula, the cubic roots of the complex number are 3 + i 4, - 4.96 + i 0.60 and 1.96 - i 4.60.

How to find the cube root of a complex number

Herein we have a complex number in rectangular form, from which we need its magnitude (r) and direction (θ) and the De Moivre's formula as well. The root formula is introduced below:

[tex]z^{\frac{1}{n} } = r^{\frac{1}{n} }\cdot \left[\cos \left(\frac{\theta + 2\pi\cdot k}{n}\right) +i\,\sin \left(\frac{\theta + 2\pi\cdot k}{n}\right)\right][/tex], for k ∈ {0, 1, ..., n - 1}      (1)

Where n is the grade of the complex root.

The magnitude and direction of the complex number are 125 and 0.886π radians, respectively. Thus, by the De Moivre's formula we obtain the following three solutions:

k = 0

z₁ = 2.997 + i 4.002

k = 1

z₂ = - 4.964 + i 0.595

k = 2

z₃ = 1.967 - i 4.597

By De Moivre's formula, the cubic roots of the complex number are 3 + i 4, - 4.96 + i 0.60 and 1.96 - i 4.60.

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add the two equations, 0.75x+1.5y=40 and −1.5x−1.5y=−60 , to find the value of x .

Answers

The value of x in the equation is 26.7

How to solve an equation?

0.75x + 1.5y = 40

−1.5x − 1.5y = −60

add both equation to eliminate y .

Therefore,

−1.5x + 0.75x = -0.75x

1.5y + (- 1.5y) = 0

40 + (-60) = -20

Hence,

-0.75x  = - 20

divide both sides by -0.75

-0.75x / -0/75 = - 20 / -0.75

x = - 20 / -0.75

x = 26.6666666667

x = 26.7

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Maria had a seven square-foot piece of construction paper. She used four square feet of the paper to make a large greeting card for a friend. Which operation would help to find the amount of paper she could use for another card? O division O addition subtraction multiplication​

Answers

Answer:

subtraction

Step-by-step explanation:

If she had 7 sqft and used up 4 sqft, she no longer has that 4 sqft. It's used up, gone, taken away. We remove it from her total. That is "take away" this means subtraction.

7 - 4

= 3 she has 3sqft of construction paper left.

Suppose the length and width of the box double. Does the surface area S double? Complete the explanation.

Help!

Answers

Answer is NO, it does not double.

Step by step.

Equation for surface area (SA) = 2lw+2lh+2wh

If we double the length and width, making them each 2l and 2w, we then have:

2(2l x 2w) + 2(2l x h) + 2(2w x h)
= 2(4lw) + 4lh + 4wh
SA = 8lw + 4lh + 4wh

If the surface area had been doubled, we should get the equation (4lw + 4lh + 4wh) for a doubled surface area.

So no, it is not doubled.

121 slabs . How many slabs will she need to lay in each row to make a square

Answers

She needs to lay 11 slabs on each row to make a square

How to determine the number of slabs in each row?

The total number of slabs is given as:

Total = 121 slabs

Let this represent the area of the slab.

The area of a square is calculated as:

Area = Length^2

Substitute the known values in the above equation

Length^2 = 121

Take the square root of both sides

Length = 11

Hence, she needs to lay 11 slabs on each row to make a square

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Solve for x

(please write work)

Answers

Answer:

x = -9

Step-by-step explanation:

12 + 2x + 24 = 27 + x

(12 + 24) + 2x = 27 + x

36 + 2x = 27 + x

subtract 27 from both sides

36-27 + 2x = 27-27 + x

9 + 2x = x

subtract x from both sides

9 + x = 0

subtract 9 from both sides

x = -9

(the steps could've been faster but that shows the most work)

check:

12 + 2(-9) + 24 = 27 + (-9)

36 - 18 = 18

18 = 18

True!

so -9 is correct

Answer:

Step-by-step explanation:

To solve for x, bring the variable to one side, and bring all the remaining values to the other side by applying arithmetic operations on both sides of the equation. Simplify the values to find the result.

Find the value of x.

Answers

Answer:

x = 52

Step-by-step explanation:

Since the inscribed angle measures 64 degrees, the minor arc is 64*2 = 128 degrees. Therefore the major arc is 180-128 = 232 degrees. Angle X is the difference of major and minor arc divided by 2, so X = (232-128)/2 = 52 degrees.

​Can u guys please give me the correct answe​​

Answers

angle at y and w are equal

hence, 54°=w

54°+w+x =180°

x=180-(54°+54°)

x=72°

Answer the following.
(a) A certain solution has a hydrogen ion concentration of 0.00000896 moles per liter. Write this number in scientific notation.
(b) A humpback whale can weigh up to ×1.1105 pounds. Write this number in standard notation.

Answers

Answer:

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a. The decimal number 0.00000896 can be written as 8.96 × [tex]10^{-6}[/tex] in scientific notation.

b. 1.1105 pounds is written in standard notation as 1.1105 pounds.

We have,

(a) To write the number 0.00000896 moles per liter in scientific notation, we move the decimal point to the right until there is one

non-zero digit to the left of the decimal point.

The number of decimal places we moved to the decimal point will be the exponent of 10 in the scientific notation.

So,

= 0.00000896

= 896/100000000

= 896 x 100/100 x [tex]10^{-8}[/tex]

= 896/100 x [tex]10^{-8 + 2}[/tex]

= 8.96 × [tex]10^{-6}[/tex]

(b)

To write the number 1.1105 pounds in standard notation, we simply write the number as it is, without any scientific notation or exponent.

1.1105 pounds is written in standard notation as 1.1105 pounds.

Thus,

a. The decimal number 0.00000896 can be written as 8.96 × [tex]10^{-6}[/tex] in scientific notation.

b. 1.1105 pounds is written in standard notation as 1.1105 pounds.

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A 1L IV contains 60meq of kcal. The IV was discontinued after 400ml has infused. How much lvl did the patient receive

Answers

If a 1L IV contains 60meq of kcal and the IV was discontinued after 400ml has infused, then the amount of IV received by the patient is 24meq of kcal.

Calculation for the Amount of IV

It is given that,

1L IV contains 60meq of kcal

⇒ 1000 mL of IV contains 60meq of kcal

⇒ 1 mL of IV will contain 60 / 1000 meq of kcal

As per the question,

The amount of IV infused in the patient = 400 mL

⇒ The amount of IV received by the patient in meq of kcal = 400 × (60 / 1000)

= 4 × 6

= 24 meq of kcal

Hence, the patient receives 24meq of kcal amount of IV.

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HELP ASAP WITH EXPLANATION: If f(x) + f(2 − x) = 4 for all x, find f(y − 2) + f(4 − y)

Answers

Answer:

f(y-2)+f(4-y)=4

Step-by-step explanation:

Assume (let) x=y-2

So: y=x+2

f(y-2)+f(4-y)=f(x)+f(-x+2)=f(x)+f(2-x)

The value of that expression is 4 from the given.

need heeeelp please ​

Answers

Answer:

7.61577310586

Step-by-step explanation:

Pythagoras Theorem 7 squared + 3 squared= 49+9=58

[tex]\sqrt{58}[/tex]

do the quantities combine?

Answers

Answer:

D

Step-by-step explanation:

Widrawal is - 30

Deposit is +30

-30+30 = 0

How many values are in the range?
0 to 50

Answers

50 0+50 = 50 because 50-0=50

Madison finished 4/5 of her homework before dinner. What percent of Maddison’s homework is left to finish?

Answers

Answer:

1/5 of it

Step-by-step explanation:

5/5 represents all of her homework

5/5-4/5= 1/5

4/5 represents the homework she did before dinner

1/5 represents the homework left to do

20% i think bc if you divided 4/5 and multiply by 100 is says 80 so there is 20 more until 100

The difference of the square of a number and 36 is equal to 5 times that number. Find the positive solution.

Answers

Answer:

x=-4, x=9

Step-by-step explanation:

We write this into words:

difference = subtraction

square = ^2

a number = x

is equal to = =

5 times that number = 5x

x^2-36 = 5x

write in standard form

x^2-5x-36

what adds to -5 and multiplies to -36?

-9 and 4!

(x-9)(x+4)

x-9 = 0

x= 9

x+4 = 0

x=-4

Answer:

9

Step-by-step explanation:

Let the number = x.

x² - 36 = 5x

x² - 5x - 36 = 0

(x - 9)(x + 4) =0

x = 9 or x = -4

Answer: 9

Which expression can be used to find the sum of the polynomials?
(9 - 3x2) + (-8x2 + 4x + 5)

Answers

The expression which can be used to determine the algebraic sum of the given polynomials as in the task content is; -11x² +4x +14.

Which expression can be used to find the sum of the given polynomials?

It follows from the task content that the polynomials whose sum are to be determined are; (9 - 3x2) + (-8x2 + 4x + 5).

Hence, the sum can be evaluated as follows;

= 9 - 3x² + -8x² + 4x + 5

= -11x² +4x +14.

Consequently, the required expression is; -11x² +4x +14.

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Answer:

Step-by-step explanation:

is 100 for the points

The percentage of each transaction contributed to the total transactions in the same Account. Use BASE_EQUIV_AMT as the unit.

Answers

The percentage that each transaction contributed to the total transactions in the same account (Cash Account and Service Revenue) is computed as follows:

Cash Account:

1. Service Revenue $900   = 8%

2. Owner's Equity, Barbara Hanson $2,200 = 19.8%

3. Accounts Receivable $750 = 6.8%

5. Note Payable $6,000 = 54.1%

6. Unearned Revenue $1,250 = 11.3%

Total cash receipts = $11,100

Service Revenue:

1. Cash $900 = 70.6%

4. Accounts Receivable $375 = 29.4%

Total $1,275

How is the percentage computed?

The percentage that each transaction contributed to the total transactions in the same account can be computed by taking the dollar value of the transaction over the total value of transactions in the same account and then multiplying by 100.

Percentage values show the degrees of relationship among variables.

The formula for computing percentage in this scenario is transaction value/total transactions value × 100%.

Transaction Analysis:

1. Cash $900 Service Revenue $900

2. Cash $2,200 Owner's Equity, Barbara Hanson $2,200

3. Cash $750 Accounts Receivable $750

4. Accounts Receivable $375 Service Revenue $375

5. Cash $6,000 Note Payable $6,000

6. Cash $1,250 Unearned Revenue $1,250

Question Completion:

The following transactions occurred during July:

1. Received $900 cash for services provided to a customer during July.

2. Received $2,200 cash investment from Barbara Hanson, the owner of the business.

3. Received $750 from a customer in partial payment of his account receivable, which arose from sales in June.

4. Provided services to a customer on credit, $375.

5. Borrowed $6,000 from the bank by signing a promissory note.

6. Received $1,250 cash from a customer for services to be rendered next year.

Use the transactions to compute the percentage of each transaction relative to the total transactions in the same account.

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