What is the value of y?
log^464 = y
OA. 16
OB. 8
OC. 3
OD. 4

Answers

Answer 1

The value of y in the given logarithmic equation is 3. The correct option is C. 3

Evaluating Logarithmic equation

From the question, we are to determine the value of y in the given logarithmic equation

The given equation is

[tex]log_{4}64=y[/tex]

By applying one of the laws of logarithm, we get

[tex]64 = 4^{y}[/tex]

Now, express 64 in index form,

[tex]4^{3} = 4^{y}[/tex]

Since the bases are equal, we can equal the powers to get

3 = y

∴ y = 3

Hence, the value of y in the given logarithmic equation is 3. The correct option is C. 3

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Related Questions

In a city park, three walking paths form triangle ABC. The length AB is 800 meters, the length BC is 900 meters, and the length AC is 850 meters. Which angle of this triangle has the greatest measure?

Answers

Answer:

Step-by-step explanation:

angle c

The angle of the triangle with the greatest measure is ∠A

What is a triangle?

A triangle is a polygon with three sides and three angles.

Analysis:

For the triangle, ABC the angle facing the side with the greatest measure is the angle with the greatest measure. From the given information side BC is the side with the greatest measure and the angle facing it is ∠A.

In conclusion, the angle with the greatest measure is ∠A

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1. the prices for 6 different jerseys are
$98, $85, $34, $79, $85, and $92.
what is the outlier in the data set?

Answers

Answer:

Step-by-step explanation:

8

A new pizza restaurant uses paid advertisement to increase pizza sales on Mondays. The table below is a record of the restaurant’s sales each Monday for the first quarter (13 weeks) of the paid advertisement.

Part A: Create a scatter plot to represent the data in the table. Then, draw the line of best fit, going through the points representing weeks 5 and 13. Be sure to label each axis, as well as to include the proper titles for the scatter plot.
Part B: Use the total sales for weeks 5 and 13 to write an equation for the line of best fit. In your final answer, include all of your calculations.
Part C: In terms of the slope of the equation for the lines of best, fit explain whether or not you think the paid advertisement is responsible for the restaurant's increase or decrease in pizza sales during the first quarter. Use complete senteneces in your answer.
Part D: Assuming that the pizza restaurant wishes to continue the paid advertisement for an additional quater, use the equation for the line of best fit to predict the restaurant's sales for the Monday of the 20th week.

Answers

An equation for the line of best fit is given by y = 22.214x + 291.27.The paid advertisement is responsible for the restaurant's increase in pizza sales during the first quarter because the slope of the equation for the line of best fit is positive.The restaurant's sales for the Monday of the 20th week is $735.55.

What is a scatter plot?

A scatter plot can be defined as a type of graph which is used for the graphical representation of the values of two variables, with the resulting points showing any association (correlation) between the data set.

What is a line of best fit?

A line of best fit is also referred to as a trendline and it can be defined as a statistical (analytical) tool that is used in conjunction with a scatter plot, in order to determine whether or not there's any correlation between a data.

Part B.

By critically observing the graph (see attachment) which models the data in the given table, we can infer and logically deduce that an equation for the line of best fit is given by:

y = 22.214x + 291.27

Part C.

Since the slope of the equation for the line of best fit is positive, the paid advertisement is responsible for the restaurant's increase in pizza sales during the first quarter.

Part D.

Next, we would predict the restaurant's sales for the Monday of the 20th week as follows:

y = 22.214x + 291.27

y = 22.214(20) + 291.27

y = 444.28 + 291.27

y = $735.55.

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please help me out :(​

Answers

Answer:

The correct answer is B.

Step-by-step explanation:

Pay per month depends on hours of training, so hours of training is the domain, and pay per month is the range.

The midpoint of AB = ([?], [])
M = (x¹+x², ¹2²)
PLS HELP I WILL MARK BRAINLIEST

Answers

Answer:

[tex]\sf M=\left(-\dfrac{1}{2},0\right)[/tex]

Step-by-step explanation:

Let (x₁, y₁) = Point A = (-2, 1)

Let (x₂, y₂) = Point B = (1, -1)

[tex]\sf Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

[tex]\implies \sf Midpoint=\left(\dfrac{-2+1}{2},\dfrac{1+(-1)}{2}\right)[/tex]

[tex]\implies \sf Midpoint=\left(-\dfrac{1}{2},0\right)[/tex]

The angle by which turns clockwise about point b to coincide with is degrees. if from point b, a point e is drawn directly opposite point c so that b, e, and c are on the same straight line, the angle by which turns counterclockwise to coincide with is degrees.

Answers

The first drop-down menu answer is 63.9 And the second drop-down menu answer is 116.1

The complete question is as given below:-

The angle by which turns clockwise about point B to coincide with is degrees. If from point B, a point E is drawn directly opposite point C so that B, E, and C are on the same straight line, the angle by which turns counterclockwise to coincide with is degrees.

What is an angle?

The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.

I have attached the figure for this problem and there are two questions for this problem. The first is the angle needed for AB to turn to coincide with BC.

Simply, get add the measures of the angles ABD and DBC. So,

33.3 + 30.6 = 63.6 degrees

The second question is the angle needed for AB to turn to coincide with EB. Angle EBA is complementary with angle ABC. So,

180 - 63.6 = 116.4 degrees

Therefore for first drop-down menu answer is 63.9 And the second drop-down menu answer is 116.1

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Answer:

90

Step-by-step explanation:

90

14 What are the solutions to the equation 3(x − 4)² = 27?
(1) 1 and 7
(3) 4 ± √24
(2) −1 and -7
(4) − 4 ± √24

Answers

Answer:

(1) 1 and 7

Step-by-step explanation:

Hello!

We can solve by isolating the variable.

Solve3(x - 4)² = 27
(x - 4)² = 9
√(x - 4)² = √9
(x - 4) = ± 3
x = 4 ± 3

There are two solutions, 1 and 7.

The answer is option 1: x = 7, x = 1.

Question 10 of 20
Which polynomial shows the difference of (4x² + 3x - 2) and (x²+2x+4)?
OA. 3x²+x-8
B. 3x²+x+2
OC. 3x² + 5x+2
OD. 3x²+x-6

Answers

Answer:

D.3x²+x-6

Step-by-step explanation:

4x²-x²+3x-2x-2-4

3x²+x-6

multiply (x^2 - 5x)(2x^2 + x - 3)

Answers

Answer:

[tex]\textbf{C.}~2x^4 -9x^3-8x^2 +15x[/tex]

Step-by-step explanation:

[tex]~~~~(x^2 -5x)(2x^2 +x-3)\\\\=2x^4+x^3 -3x^2 -10x^3 -5x^2 +15x\\\\=2x^4 -9x^3-8x^2 +15x[/tex]

whats equlvlent to 3√6

Answers

Answer:

Important: 3

6

looks like a fraction, but it is actually an improper fraction.

There is an infinity number of equivalent fractions to 3

6

.

To find an equivalent fraction to 3

6

, or to any other fraction, you just need to multiply (or divide, if the fraction is not yet reduced), both the numerator and the denominator of the given fraction by any non-zero natural number. For example:

By dividing the original fraction by 3, we get:

3 ÷ 3

6 ÷ 3

= 1

2

By multiplying the original fraction by 2, we get:

3 × 2

6 × 2

= 6

12

Step-by-step explanation:

An equation in the form ax2+bx+c=0 is solved by the quadratic formula. The solution to the equation is shown below.x=−7±√ "572" What are the values of a, b, and c in the quadratic equation?

A: a= 1, b= -7, c = -2
B: a = 1, b= 7, c = -2
C: a = 2, b = -7, c = -1
D: a = 2, b = 7, c = -1

Answers

Question has errors in typing that 572 should be √57/2

Because if it's 572 then 2a=1 so

a=1/2

Also

-7=1/2bb=-7(2)b=-14

c also comes different

If it's like what I said

then

2a=2a=1

and

-b=-7b=7

By putting values

c=-2

Option B can be correct

Answer:

B: a = 1, b= 7, c = -2

Step-by-step explanation:

Quadratic Formula

[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when}\:ax^2+bx+c=0[/tex]

Given:

[tex]x=\dfrac{-7\pm\sqrt{57}}{2}[/tex]

Comparing the terms of the given x-value with those of the quadratic formula:

[tex]\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}=\dfrac{-7\pm\sqrt{57}}{2}[/tex]

Therefore:

[tex]2a=2 \implies a=1[/tex][tex]b = 7[/tex][tex]b^2-4ac=57[/tex]

Using the found values of a and b to solve for c:

[tex]\implies b^2-4ac=57[/tex]

[tex]\implies (7)^2-4(1)c=57[/tex]

[tex]\implies 49-4c=57[/tex]

[tex]\implies -4c=57-49[/tex]

[tex]\implies -4c=8[/tex]

[tex]\implies c=-2[/tex]

In summary:   a = 1,  b = 7,  c = -2

[tex]\implies x^2+7x-2=0[/tex]

Therefore, option B is the correct solution.

ramon ate at a restaurant and gave the server a $4 tip the tip was 20% of the cost of the meal how much was the meal

Answers

Answer:

The meal was $20

Step-by-step explanation:

20%= 1/5

1/5=4/? ---> one converts to four by multiplying it by 4 so you should do the the same with the denominator which is five.

5×4= 20


A force F, of 25 newtons pulls at an angle of 20° above due east
A force F₂ of 35 newtons pulls at an angle of 55° below due west
Find the magnitude and direction of the resultant force

Answers

A force F, of 25 newtons pulls at an angle of 20° above due east

A force F₂ of 35 newtons pulls at an angle of 55° below due west

Find the magnitude and direction of the resultant force

Enzymatic browning, the darkening of cut fruit when exposed to the air, can be lessened by

a. cooking the fruit

b.dipping the fruit in a juice rich in vitamin c

c. freezing the fruit

d.dipping the fruit in chocolate

Answers

Answer: b dipping fruit in a juice rich in vitamin c

Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter. X = t5 1, y = t6 t; t = −1

Answers

The equation of the tangent to the curve at the point corresponding to the given value of the parameter will be x + y = c.

How to calculate the tangent of the parameter curves at a point?

The curves are given below.

x = t⁵ + 1 and y = t⁶ + t

Then differentiate the functions with respect to t, then we have

[tex]\rm \dfrac{dx}{dt} = 5t^4\\[/tex]   ...1

and

[tex]\rm \dfrac{dy}{dt} = 6t^5 + 1[/tex]   ...2

Divide equation 2 by equation 1, then we have

[tex]\rm \dfrac{\dfrac{dy}{dt} }{\dfrac{dx}{dt} } = \dfrac{dy}{dx} = \dfrac{6t^5 + 1}{5t^4}[/tex]

Then the slope of the equation at t = −1, then we have

dy/dx = [6(-1)⁵ + 1]/[5(-1)⁴]

dy/dx = (-6+1)/5

dy/dx = -5/5

dy/dx = -1

Then the equation of the tangent line will be

y = -x + c

x + y = c

Where c is a constant.

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solve 2(4x-3) = 5(2x-5)

Answers

Answer:

x = 19/2 or 9.5

Step-by-step explanation:

Hello!

We can distribute the parenthesis and solve.

Solve2(4x - 3) = 5(2x - 5)2(4x) - 2(3) = 5(2x) - 5(5)8x - 6 = 10x - 25

Move all x terms to one side and integer terms to the other

8x - 6 = 10x - 25-6 + 25 = 10x - 8x19 = 2xx = 19/2x = 9.5

Solve for x. 3x/−8=−2/14

Answers

Answer:

4.14

Step-by-step explanation:

3x : -2

-8 14

cross multiply

3x × 14 : -2 × 8

42 + 14x : -16

42+ 16 : 14x

58 : 14x

58 : x

14

4.14 : x

A water sprinkler sends water out in a circular pattern. How many feet away from the sprinkler can it spread water if the area formed by the watering pattern is452.16 square​ feet? Use 3.14 for .

Answers

We need radius

Let that be r

πr²=452.163.14r²=452.16r²=144r=√144r=12ft

Answer:

12 feet

Step-by-step explanation:

It asks how many feet away from the sprinkler can water be spread. Therefore, in this scenario, we require the radius.

Area of a circle :

Area (circle) = πr²

Solving :

⇒ 452.16 = 3.14 × r²

⇒ r² = 452.16 ÷ 3.14

⇒ r = √144

⇒ r = 12 feet

The length of a rectangle is four times the width. The perimeter of the rectangle is 45 inches. Write a system of equations that represents this problem. What is the area of the rectangle​

Answers

Step-by-step explanation:

2×length + 2×width = 45

length = 4×width

now, we are using the second equation (a variable identity) in the first equation

2×4×width + 2×width = 45

8×width + 2×width = 45

10×width = 45

width = 45/10 = 4.5 in

length = 4×width = 4×4.5 = 18 in

the area of the rectangle is

length × width = 18 × 4.5 = 81 in²

determine whether sec x -tanxsinx=cosx is a possible identity

Answers

[tex]\text{L.H.S}\\\\\sec x - \tan x \sin x\\\\\\=\dfrac{1}{\cos x}- \dfrac{\sin x }{ \cos x } \cdot \sin x\\\\\\=\dfrac 1{\cos x} - \dfrac{\sin^2 x}{\cos x}\\\\\\=\dfrac{1- \sin^2 x}{\cos x}\\\\\\=\dfrac{\cos^2 x}{\cos x}~~~~~~~~~~~~~;[\sin^2 x + \cos^2 x = 1]\\\\\\=\cos x\\\\\\=\text{R.H.S}\\\\\text{Since both sides are equal, the given equation is an identity.}[/tex]

What is the standard deviation of the data? Round to the nearest whole number.

65
75
100
130

Answers

Rounded to the nearest whole number, the standard deviation of the data is 29.

How do we calculate the standard deviation of data?

The following notations and formulas will be used in these calculations:

Mean = (sum of the values) / n

Variance = ((Σ(x - mean)^2) / (n - 1)

Standard deviation = Variance^0.5

Where:

n = number of values = 4

x = each value

Therefore, we have:

Mean = (65 + 75 + 100 + 130) / 4 = 92.50

Variance = ((65-92.5-)^2 + (75-92.50)^2 + (100-92.50)^2 + (130-92.50)^2) / (4-1) =  2,525 / 3 = 841.666666666667

Standard deviation = Variance^0.50 = 841.666666666667^0.5 = 29.011491975882

Rounding to the nearest whole number, we have:

Standard deviation = 29

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Answer:

The answer is C. 100

Step-by-step explanation:

If a plumber chargers a call out fee of $85 plus $72 per hour how much would it cost for 3 hours?
Show working out pls

Answers

Answer:

$301

Step-by-step explanation:

 Charge for 1 hour = $ 72

To find the cost for 3 hours, multiply hourly rate ($72) by 3

Charge for 3 hours = 72 * 3  = $ 216

Now, to find the total cost, add the charge for 3 hours and the fixed rate.

Total cost = fixed rate + charge for 3 hours

                = 85 + 216

                = $ 301

HELP!!!! THIS IS A MATRIX PROBLEM (WILL GIVE BRAINLIEST)
If T= 23 -38
17 -6
What is -10(T)

Answers

Answer:

hope you can understand

PLEASE HELP ASAP CANT MOVE ON

What is the scale factor of LaTeX: \triangle ABC\:to\:\triangle DEC? Be sure to simplify your answer!

answers:

2/7

10/21

3/14

5/14

Answers

Answer:

[tex]\frac{2}{7}[/tex]

Step-by-step explanation:

Triangle ABC is similar to triangle DEC, because all angles in one triangle are equal to angles in the other triangle.

That means that corresponding sides have the same ratio. Side AB and side DE are corresponding sides. Since there are no unknowns we can calculate the ratio (scale factor).

Since we are looking for scale factor of triangle DEC to triangle ABC, we put side AB (which is in triangle ABC) in the numerator.

[tex]\text{scale factor} = \frac{\text{AB}}{\text{DE}} = \frac{6}{21} = \frac{2}{7}[/tex]

I've marked corresponding sides and angles in the attached picture.

Which of the following represents y > 2x - 3?

Answers

Answer: Choice A

The two characteristics here are:

The boundary line is a dashed line. This visually indicates to the reader "points on the boundary do NOT count as solutions". Think of the boundary as an electric fence you cannot touch, but can get closer and closer to. We aren't including boundary points directly because of the lack of "or equal to". The shading is above the boundary, due to the "greater than" sign. This only works if we have y isolated.

The graph of choice B is [tex]y \le 2x-3[/tex] since we have a solid line and shading below the solid line. This time points on the boundary are part of the solution set.

The lengths of the diagonals of a parallelogram are 10 feet and 16 feet. If one side of the parallelogram measures 4 feet, to the nearest hundredth of a degree, find the measure of the acute angle formed by the intersection of the diagonals.​

Answers

Answer: 24.15

Step-by-step explanation:

( geometry) Find the area of a regular hexagon whose sides are 22.6 cm, and whose apothem is 19.6 cm.

Answers

Answer:

1328.88 cm^2

Step-by-step explanation:

Area = 6 * 1/2 * 22.6 * 19.6

= 1328.88 cm^2

a boat leaves at 4:25 a.m. and returns to port at 10:55a.m. How long was the boat out?​

Answers

Answer:

6 hours 30 minutes

Step-by-step explanation:

10 subtract 4 is 6

55 subtract 25 is 30

6x-2=8x-8 please i forgot how you do this

Answers

Answer:

x = 3

Step-by-step explanation:

6x - 2 = 8x - 8 ( subtract 8x from both sides )

- 2x - 2 = - 8 ( add 2 to both sides )

- 2x = - 6 ( divide both sides by - 2 )

x = 3

Answer:

x=3

Step-by-step explanation:

In triangle ABC, m∠A=47∘ and m∠B=70∘. What is the measure of angle C?

Answers

Answer:

63

Step-by-step explanation:

Answer:

63

Step-by-step explanation:

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Blisters on the genitals can occur during birth in babies affected by which of the following:A.) GonorrhoeaB.) SypillisC.) HPVD.) HerpesPLEASE CHOOSE THE CORRECT ANSWER. TY The angle by which turns clockwise about point b to coincide with is degrees. if from point b, a point e is drawn directly opposite point c so that b, e, and c are on the same straight line, the angle by which turns counterclockwise to coincide with is degrees. 1. Which of the following sentences is correctly punctuated?The medicine smelled bad and would taste worse; however, I knew I needed to take it.When would Monday ever come; and would it bring the letter I anticipated?If we were to ever get off the island wed have to build a signal fire.She believed in the magic she possessed: I believed only in her. A die is tossed. Find the odds against rolling a number greater than 4. For which process would the pictured cell be used? Producing electricitySplitting a compound into its elementsPurifying a metalCoating a material with metal 13. Discusses how states should interact with each other.14. Supreme Law of the Land15. Creates the three branches of the U.S. government16. Additions to the Constitution17. How to amend the Constitution18. How to Ratify the Constitution Which of the following actions can be performedby RNA? Check all that apply.It can carry genetic information from one partof the DNA to another.It can unwind the DNA strand for replication.It can block the process of transcription.It can remove genetic information fromvarious parts of cells. The nervous system is responsible for all of the following except which of these? 1.producing red and white blood cells 2. sensing external stimuli 3. connecting sensory and motor neuron signals 4.controlling automatic body processes, such as breathing A force F, of 25 newtons pulls at an angle of 20 above due eastA force F of 35 newtons pulls at an angle of 55 below due westFind the magnitude and direction of the resultant force Write a letter to the school principal suggesting ideas for the upcoming sports event. Economics: To address a rise in inflation, a government may:O A. raise interest rates to allow businesses to borrow more money.B. reduce the amount of money it puts into circulation.4C. lower interest rates to allow businesses to borrow more money.OD. invest in programs like unemployment benefits to help people inneed.SUBMIT How to find the average collection period Cinta reviewed her notes about genealogical researchbefore the class discussion. She was ready to share herinformation with her classmates and then answerquestions. When Mr. MacGregor asked if she wasready, Cinta smiled and nodded her head.What is the purpose of the class discussion?O to persuadeto entertainO to educateO to advertise The function f(x) = 2x2 + 3x + 5, when evaluated, gives a value of 19. What is the functions input value? ramon ate at a restaurant and gave the server a $4 tip the tip was 20% of the cost of the meal how much was the meal Solve for x. 3x/8=2/14 What we know about instruments in church comes mainly from the pictures and literary descriptions of the day. surviving musical manuscripts. the work of Pope Gregory the Great. old recordings. Enzymatic browning, the darkening of cut fruit when exposed to the air, can be lessened by a. cooking the fruit b.dipping the fruit in a juice rich in vitamin c c. freezing the fruit d.dipping the fruit in chocolate the study of the space aroundEarth and within the universe,including meteoroids andgalaxies that are trillions ofmiles away What is the name of the expression under the radical symbol in a radical function?