Without using your calculator, decide which of these is larger: log8 62 or log7 50. How confident are you of your answer? Explain your thinking.

Answers

Answer 1

Answer:

Step-by-step explanation:

log8 62 = x1

8^x1= 62

8^2 =64 >62 so x1<2

log7 50=x2

7^x2=50

7^2=49<50 so x2>2

we have, x1<2  and 2<x2

x1<2<x2

x1<x2

log8 62<log7 50


Related Questions

please help me with this question....

Answers

107 as the median is the middle number and the middle number falls between 106 and 108 therefore it’s 107 :)

Answer:

107

Step-by-step explanation:

Median is the middle most no.

=> Here, Median are two numbers, 106 and 108 So, we'll find the mean of it to get the median

=> Median = [tex]\frac{106+108}{2}[/tex]

=> Median = 107

Which is the graph of f(x) = (2/3)^x

Answers

Answer:

Picture attached below.

Step-by-step explanation:

I hope it helps.

7.30 x 1.35564873÷547068​

Answers

Answer:

0.00001808958

Step-by-step explanation:

hope this helps you :)

It would be SUPER helpful if you could answer this question! The height of a right square pyramid is multiplied by 6, but the area of the base remains fixed. What is the volume of the taller pyramid divided by the volume of the shorter pyramid?
A. 3
B. 6
C. 9
D. 12

Answers

Answer:

  B.  6

Step-by-step explanation:

The volume is proportional to the height. The ratio of the heights of the taller to shorter pyramids is 6 : 1. Since the pyramids have the same base ares, this is also the ratio of volumes.

The volume ratio is 6.

help please this is hard sheet attached

Answers

Answer:

88 cm²

Step-by-step explanation:

6*2*2+2*2= 28 cm² sides

6*3*2= 36 cm² top and bottom

3*4*2= 24 cm² front and back

28+36+24= 88 cm²

Answer:

[tex]6 \times 2 + 2 \times 2 = 28 \\ \\ 6 \times 3 \times 2 = 36 \\ \\ 3 \times 4 \times 2 = 24 \\ \\ 28 + 36 + 24 = 88cm {}^{2} [/tex]

The average reading score on a certain test is given by y=0.150x +255.34 where x is the number of years past 1970 . In what year would the average reading score be 259.24 if this model was accurate

Answers

Answer:

The average was 259.24 in 1996.

Step-by-step explanation:

In order to find the year that the average, "y", is 259.24 we need to apply this value on the given expression, as done below:

[tex]259.24 = 0.15*x + 255.34\\0.15*x = 259.24 - 255.34\\0.15*x =3.9\\x = \frac{3.9}{0.15}\\x = 26[/tex]

The average was 259.24 after 26 years, therefore it was in 1996.

What is the largest integer $n$ such that $7^n$ divides $1000!$ ?

Answers

Answer:

The correct answer is

n = 3038

Step-by-step explanation:

Where we have;

We note that 1000! = An even number

Since Even × Even = even

Even × Odd = Even

Also, 7ⁿ is an Odd number since odd × odd = odd

Therefore 7ⁿ will divide 1000! with some fractions as follows;

1000! divided by 7ⁿ

When 7ⁿ = 1000!

log(7ⁿ) = log(1000!) = log(4.02×10²⁵⁶⁷)

n·log(7) = 2567.604

n = 2567.604/(log(7)) = 3038.23

Therefore, the largest integer n such that 7ⁿ divides 1000! = 3038

Which gives, 1000! ÷ 7³⁰³⁸ = 1.5733.

Urgent plz please please❤️

Answers

Answer:

see below

Step-by-step explanation:

The domain is  the possible x values

For the top graph x goes from 0 to 240

0 ≤x≤240

For the bottom graph the domain is from -3 but not including -3 because of the open circle to 6

-3 < x ≤6

(-3,6]

The range is the possible y values

The lowest value of y is -5 and the largest is 7

-5 ≤y≤7

[-5,7]

To locate the percentile for a given observation in a data set, the data must be ___________. Select one: a. Displayed in a histogram b. Sorted and listed from the minimum to the maximum values c. Distributed symmetrically around the mean d. Summarized in a frequency distribution

Answers

Answer:

b. Sorted and listed from the minimum to the maximum values

Step-by-step explanation:

A percentile can be defined a measure that is made use of statistics.

A percentile is a statistical measure that indicates or shows comparison amongst a given set of data.

A percentile tells us the value or scores below which a percentage of a given observation in a data set falls.

In other to be able to effectively obtain the percentile if a given set of data, the following steps must be taken.

Step 1: Arrange, sort and list the values of the given the data set in order from lowest to the highest

Step 2: Multiply the percentage (also represented by P ) by total number of values in the data set( also represented by N)

Step 3: The value obtained from step 3 is know as the rank and this would helps us to find the percentile f a given data set.

The formula for calculating a percentiles is given as

= (P/100) x N,

where

P = percentile

N = number of values in a data set (sorted or arranged from lowest to highest)

n = Rank of a given value.

The point of tangency of line S to circle A is M.

True
False

Answers

The answer is false hope it helps !

Answer:

False!

Step-by-step explanation:

Just got this question on OW

Where do the points of concurrency of certain types of triangles lie? The circumcenter of an obtuse triangle lies inside the triangle. The incenter of a right triangle lies the triangle. The point of concurrency of the angle bisectors of an acute triangle lies the triangle. The point of concurrency that is equidistant from the vertices of a right triangle lies the triangle.

Answers

Answer: can you add a picture

Step-by-step explanation:

PICTURE

Answer:

1.outside

2.inside

3.inside

4.on

Step-by-step explanation:

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. What is the output of the function f(x) = x + 21 if the input is 4? When the input is 4, the output of f(x) = x + 21 is .

Answers

Answer:

When the input is 4, the output of f(x) = x + 21 is 25.

Step-by-step explanation:

The given function is  

[tex]f(x)=x+21[/tex]

Here, x is input and f(x) is output.

We need to find the output of the given function f(x) if the input is 4.

Substitute x=4 in the given function.

[tex]f(4)=4+21[/tex]

[tex]f(4)=25[/tex]

So, the output value is 25.

When the input is 4, the output of f(x) = x + 21 is 25.

In 1995 the usps approximated that they handled 1.8 x 10 pieces of mail. In 2010 the USPS reported that they handled 1.7 x 10 pieces how many more pieces of mail were handled in 1995 than in 2010

Answers

Answer:

1 piece of UPS

Step-by-step explanation:

Here, we want to know the difference in the number of pieces handled at the different times

In 1995, amount handled = 1.8 * 10 = 18 pieces

In 2000, amount handled = 1.7 * 10 = 17 pieces

The difference between what was handled in the year 2010 and what was handled in 1995 is 18 -17 = 1

find the zeros of quadratic polynomial X2 - 2x - 8​

Answers

Answer:

The zeroes of a polynomial is the value of x when the polynomial is set to 0.

We can write x² - 2x - 8 = 0. This factors to (x - 4)(x + 2) = 0 and using Zero Product Property the solutions are x = 4, x = -2.

NEED MATH HELP NOW. PLEASE HELP.

Answers

Answer:

The x-intercepts are (-2, 0) and (4, 0). I know this because it's written in intercept notation. To find the y-intercept we'll expand.

-(x + 2)(x - 4) = -x² + 2x + 8 so the y-int. is (0, 8). To find the rest we'll complete the square.

-x² + 2x + 8 = -(x² - 2x) + 8 = -(x -1)² + 1 + 8 = -(x - 1)² + 9 so the vertex is (1, 9) and the axis of symmetry is x = 1. This means that the domain is all real numbers and the range is y ≤ 9.

I don’t understand how to do this

Answers

Answer:

1) 2

2) 1

Step-by-step explanation:

1) According to the law of exponents, [tex]x^0 = 1[/tex]

= [tex]2 (\frac{3}{5} )^0[/tex]

=2(1)

= 2

2) [tex](-7)^0[/tex]

= 1

PLS HELP!!! 10-4*6^3+7

Answers

Answer:

-847

Step-by-step explanation:

Using PEMDAS, exponents come first. 6 ^ 3 is equal to 216. Then multiplication arrives.-4 * 216 = -864. Then addition has to be done. -864 + 17 =   -847

Answer:

-847

Step-by-step explanation:

10-4*6^3+7

PEMDAS

Parentheses first - there are none

Exponents

10-4*216+7

Multiply and divide from left to right

10-864+7

Add and subtract from left  to right

-854 +7

-847

Refer to the previous question.

Click on the numbers

question to another.

Which answer choice shows the correct calculation by using the Pythagorean Theorem for the distance of

between Elibri's apartment and Elibri's school, namely HE?

Answers

Answer:

|AC| = 4.47 units (question attached as image)

Step-by-step explanation:

The question lacks sufficient details. We wil however consider a similar example (image attached) to understand how to solve questions using Pythagoras theorem.

We will calculate for |AC| using Pythagoras theorem, we have:

|AC|² = |AB|² + |BC|²

|AC| = ?, |AB| = 4 units, |BC| = 2 units

|AC|² = 4² + 2² = 16 + 4

|AC|² = 20 ⇒ |AC| = [tex]\sqrt{20}[/tex]

|AC| = 4.472135955 ≈ 4.47

|AC| = 4.47 units

What is the product? One-eighth times three-elevenths 3 over 88 1 over 22 4 over 19 35 over 88

Answers

Answer:

[tex]\frac{3}{88}[/tex]

Step-by-step explanation:

Given

One-eighth times three-elevenths

Required

Solve

One-eighth means 1/8

Three-elevenths means 3/11

So, mathematically; the above expression is represented as thus:

[tex]\frac{1}{8} * \frac{3}{11}[/tex]

To solve this, we simply multiply the numerator and the denominator together.

After multiplying these together, the next is to check if the resulting can be simplified

If yes,we simplify it and if otherwise, we live it like that.

So,

[tex]\frac{1}{8} * \frac{3}{11}[/tex]

[tex]=\frac{1 * 3}{8 * 11}[/tex]

[tex]= \frac{3}{88}[/tex]

At this point, the fraction can't be simplified any further.

Hence,

[tex]\frac{1}{8} * \frac{3}{11} = \frac{3}{88}[/tex]

FOR BRAINLIEST ANSWER, SOLVE APPLICATION USING ALGEBRA. TYPE THE EQUATION OR INEQUALITY AND PLEASE SHOW WORK. a) If the sales tax on a purchase came to $48, what was the original price (before tax) and what is the final price (after tax)? (Use 6% for the sales tax rate).

Answers

the sales tax is 2.88 because 6% of 48 is 2.88 so the original price before tax was applied was 45.12

Step-by-step explanation:

before tax it would be 6/100×48=$2.88

so therefore before tax = $48-2.88=$45.12

final price after tax =$48+2.88=$50.88

Divide up the number 480 in a 3:5 ratio.

Answers

Step-by-step explanation:

Hers your answer friend

Answer:

180 and 300

Step-by-step explanation:

We want to divide up the number 480 in a 3:5 ratio.

=> We should turn 480 into 3+5=8 portions, each portion is 480/8 = 60.

=> 480 could be divided into 2 smaller numbers that satisfy 3:5 ratio:

60x3=180 and 60x5 = 300.

Check:

180:300 ratio <=> 3:5 ratio (valid)

Hope this helps!

This is the question that I need help with.​

Answers

Answer: 16 + 55 = 71cm^2

Step-by-step explanation:

You want to divide this figure into 2 rectangles. There are two ways to do this, but either one will give you the same answer.

First One:

It has the dimensions of 5 and 11. 5 x 11 = 55cm^2

Second One:

This one wont be straightforward like the first one. You need to find these sides manually.

7 + x = 11

x = 4

Then,

9 - x = 5

x = 4

4 x 4 = 16cm^2

Use the function below to find

Answers

Answer:

f(x) =1/3 × 4^x

f(4) = 1/3 × 4⁴

= 1/3 × 256

= 256/3

Hope this helps

Please help! Please help me answer this question,

Answers

Answer:

A-4

B-5

C-1

D-3

E-2

Step-by-step explanation:

They all have the same explanation u have to find the point where the line coincides with the x and y axis

E.g on how to work out

Note when the value of y is zero u get the x coordinate and when x is zero u get the y coordinate

C=2x+y=4

To get x 2x+0=4 x=2

Y 0+y=4 y=4

After doing so u locate the line that passes through (2,0),(0,4)

Hope it helps

Answer:

Can you send a screen shot of each graph  because its hard to see the  coordinate

Step-by-step explanation:

What inequality represents this graph?

Answers

Answer:

y ≤ 3

Step-by-step explanation:

All values will work all the way up to 3 (including 3). However, no solution would work after the value 3. So, your inequality would be y ≤ 3.

Answer:

y ≤ 3

Step-by-step explanation:

all y values lower than or equal to 3 are part of the shaded area.

*I WILL MARK YOU BRAINLIEST!!!!!*

Answers

Answer:

C

Step-by-step explanation:

you were told to draw a graph

f(x) or y is 4 when x less than or equal to 3. so you must draw straight horizontal line at y = 4 start from x = 3 to the left

(fx) or y is 2 when x bigger than 3. so, 3 is not included. so you must draw straight horizontal line at y = 2 start from x = 3 to the right with empty circle first (it means 3 not included)

If $500 is shared in the ratio 2:3:9 then the difference between the largest and the smallest shares is

Answers

Answer:

$250

Step-by-step explanation:

Total parts:

2+3+9 = 14

500/14 = 250/7

2×250/7 : 3×250/7 : 9×250/7

500/7 : 750/7 : 2250/7

The largest share is 2250/7, the smallest share is 500/7.

Find the difference.

2250/7 - 500/7 = 250

Answer:

$250

Step-by-step explanation:

2x+3x+9x= $500

9x-2x= 7x=?

14x= $500

7x= $500/2= $250

Soraya earned $40 in October. She earned $50 in November. What is the percent increase or decrease in Soraya's monthly earnings?

Answers

Answer:

25% increase

Step-by-step explanation:

Apex

The percent increase in Soraya's monthly earnings is 2.5%

What is Percent Increase?

Increase expressed as a percentage is referred to as a percentage increase. When comparing growth in a quantity through time, from its beginning value to its ultimate value, the percentage increase formula is utilised.

Given:

Soraya earned $40 in October.

She earned $50 in November.

Change in amount= 50- 40= $10

So, percent increase = 10/ 40 x 100

                                   = 2.5%

Hence, the percent increase is 2.5%

Learn more about percent increase here:

https://brainly.com/question/13533684

#SPJ2

Mark wants to invest 10,000 in a cd for at least 10 years the first choice is a cd that pays 4% annually and uses simple interest what is the total value after 10 years

Answers

Answer: 14000

Step-by-step explanation:

From the question, the first thing is to first calculate the simple interest (S.I). This will be:

S.I = (principal × rate × time)/100

where principal = 10,000

rate = 4%

time = 10 years

Simple interest = (10,000 × 4 × 10)/100

= 400000/100

= 4000

The total value after 10 years will be th addition of the amount invested and the interest. This will be:

= 10,000 + 4000

= 14000

2. Sled kites rely on wind pressure to retain the shape of the sail. Each consists of a single square and two triangular pieces.

Kyle has made a model of a Sled kite as shown below. Show that the angles
(JUSTIFY)

Answers

Show that the angles A and B are congruent

Answer:

[tex]\angle A =\angle B =90^\circ[/tex]

Step-by-step explanation:

The diagram of the sled kite is attached below.

The central part of the kite is square.

We know by the property of a square that all its angles are congruent and equal to 90 degrees.

Therefore:

[tex]\angle A =\angle B =90^\circ[/tex]

Angles A and B are congruent.

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