I need help!!

Use the properties of logarithms to simplify.

log base5 5^(2x − 9) + log base3 729^5

Answer:

Range = 58

Mean = 25.81

Median = 17

Mode = 2, 9, 11, 12, 16, 17, 18, 41, 48, 50, 60

Upper Quartile = 11

Lower Quartile = 48

Step-by-step explanation:

Start by putting all of the values in order from least to greatest.

16, 18, 12, 9, 17, 2, 41, 48, 50, 60, 11

becomes

2, 9, 11, 12, 16, 17, 18, 41, 48, 50, 60

Range

The range is the difference between the highest and lowest value. So in this case, it's 58, because 60 - 2 = 58

Mean

The mean is another word for the average. To calculate the average, add all of the values and divide the sum by the number of values.

2 + 9 + 11 + 12 + 16 + 17 + 18 + 41 + 48 + 50 + 60 = 284

There are 11 values, so divide the sum (284) by 11:

284 / 11 = 25.8181818.

That rounds to 25.81

Median

The median is the middle value of the data set.

In 2, 9, 11, 12, 16, 17, 18, 41, 48, 50, 60 the middle value is 17. It has 5 values on each side of it.

Mode

The mode is the number that appears the most in the data set. Each value only appears once, so the mode is the entire list of numbers. 2, 9, 11, 12, 16, 17, 18, 41, 48, 50, 60

Upper Quartile

The upper quartile of a data set is the median of the numbers that are to the left of the median for the entire data set. The median is 17, so the numbers to the left are 2, 9, 11, 12, and 16. The median of those is 11 because it is in the middle. So the upper quartile is 11.

Lower Quartile

The lower quartile is found the same way the upper quartile is, but it's the median of the numbers to the right. The numbers to the right of 17 are

18, 41, 48, 50, and 60. The median of those is 48 because it's in the middle. So the lower quartile is 48.

Answer:

6/10 if its talking about Manny and Emma together, 3/10 if it separate. Simplified would be 3/5 and 3/10

Step-by-step explanation:

Lilly ate 4/10 sections. 10 - 4 is 6. so there are 6 sections left for them to eat.

the mean, median and interquartile range

Answer:

B

Step-by-step explanation:

since rye bagels come first after plain bagels, rye bagel is 13 & plain bagel is 8 so 13:8 is the answer!

Answer:

Step-by-step explanation:

If we're asked to use any positive value. It means we could have a wide variety of answer. A positive value of k that makes the equation 20k to be less than 20, yet greater than zero has to be any decimal value or a fraction, if you so wish.

As an example, if k is 0.5. Then we have

20k = 20 * 0.5 = 10, which is less than 20 and greater than zero

Again, if k is 0.9. Then we have

20k = 20 * 0.9 = 18, which is less than 20 and greater than zero.

So, you use any decimal number greater than 0, yet less than 1

Answer:

A unit rate is a rate with 1 in the denominator.

Step-by-step explanation:

I didn't even read the question correctly sorry

Step-by-step explanation:

Answer:

(-2,0)

Step-by-step explanation:

Herr you go, I hope this helps you.

The coordinates of the vector after rotation is (-2,0)

The given parameters are:

Vector = (0,2)

Rotation = 270°clockwise about the origin

The rule of 270° rotation clockwise about the origin is:

(x,y) = (-y,-x)

So, we have:

(0,2) = (-2,0)

Hence, the coordinates of the vector after rotation is (-2,0)

Read more about rotation at:

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Answer:

As X approaches 3 from the right side the Y value is 3.

Answer:

[tex] \displaystyle \text C)\csc( {225}^{ \circ } )= - \sqrt{2} [/tex]

Step-by-step explanation:

we want to figure out the exact value of the following:

[tex] \displaystyle \csc( {225}^{ \circ} ) [/tex]

recall that,

[tex] \displaystyle \csc( \theta ) = \frac{1}{ \sin( \theta)} [/tex]

we are given [tex]\theta=225°[/tex]

substitute:

[tex] \displaystyle \csc( {225}^{ \circ } )= \frac{1}{ \sin( {225}^{ \circ} )} [/tex]

225° belongs to Q:III which we can clearly acquire from unit circle so,

[tex] \displaystyle \csc( {225}^{ \circ } )= \frac{1}{ \dfrac{ - \sqrt{2} }{2} } [/tex]

By simplifying complex fraction we get:

[tex] \displaystyle \csc( {225}^{ \circ } )= \frac{2}{ - \sqrt{ 2} } [/tex]

notice that, what we acquired isn't in the option so multiply it by √2/√2

[tex] \displaystyle \csc( {225}^{ \circ } )= \frac{2}{ - \sqrt{ 2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } [/tex]

simplify multiplication:

[tex] \displaystyle \csc( {225}^{ \circ } )= \frac{2 \sqrt{2} }{ - \sqrt{ 4} } [/tex]

simplify square:

[tex] \displaystyle \csc( {225}^{ \circ } )= \frac{2 \sqrt{2} }{ - 2} [/tex]

reduce fraction:

[tex] \displaystyle \csc( {225}^{ \circ } )= - \sqrt{2} [/tex]

hence,

our answer is C

Answer:

There are six $5 bills and nine $10 bills

Step-by-step explanation:

x= $5 bills

y= $10 bills

x+y=15

5x+10y=120

5x+10(15-x)=120

5x+150-10x=120

-5x= -30

x=6 so y=9

Answer:

$10 = 5  $5 = 11  $1 = 122

Step-by-step explanation:

5 x 10 = 50

5 x 11 = 55

1 x 122 = 122

50 + 55 + 122 =

227

Hope this helps!

Answer:

No, that equation can be not be simplified any further.

Answer:

Side of the square:

Area of the square:

Radius of each circle:

Area of each circle:

Area of all circles:

Area of shaded region:

Answer:

3. 4x^2y

Step-by-step explanation:

The GCF of 36 and 14 is 4.

The GCF of x^2y and x^2y^2 is x^2y

Multiply the two GCF and you get 4x^2y

Answer:

-7-17i

Step-by-step explanation:

Answer:

-7-17i

Step-by-step explanation:

See image below:)

Answer:

-2

Step-by-step explanation:

I think this was the question you were talking about.

Answer:

I believe you multiply 18 and 6 so most likely your answer is 108 because 18 x 6 is 108

Answer:

She shaded area?

12 x 10 = 120

6 x 7 = 42

42 divided by 2 = 21

Now we subtract both areas:

120 - 21 = 99 of the shaded region.

Answer:

99

Step-by-step explanation:

7 * 6 is 42 then divide by 2 = 21

12 * 10 is 120

120 - 21 = 99

Answer:

Step-by-step explanation:

Answer:

405 in^2

Step-by-step explanation:

Given data

Height= 27in

Circumference= 47.1 in

let us find the radius and the diameter of the base of the cylinder

from

C=2πr

47.1= 2*3.142*r

47.1= 6.284r

r= 47.1/6.284

r= 7.5 in

Diameter= 2r

D= 7.5*2

D= 15in

Hence the area of the cross-section

=H*D

=27*15

=405 in^2

Answer:

1.11

Step-by-step explanation:

35 + 24 = 59

22 + 31 = 53

59 ÷ 53 ≈ 1.11

Have a good day :)

Answer: 150.02 m

Step-by-step explanation:

Given

The height of building A is 125 m

the angle of elevation to the top of building B is [tex]18^{\circ}36'[/tex]

and the angle of depression of the base of Building B is [tex]39^{\circ}48'[/tex]

Suppose the width of the street is x

from the figure, we can write

[tex]\Rightarrow \tan (39^{\circ}48')=\dfrac{125}{x}\\\\\Rightarrow \tan (39.8^{\circ})=\dfrac{125}{x}\\\\\Rightarrow x=\dfrac{125}{\tan 39.8^{\circ}}\\\\\Rightarrow x=150.02\ m[/tex]

Thus, the width of the street is [tex]150.02\ m[/tex]

Answer:

the formula is

base^2+height^2=hypotenuse^2

I hope it helps

have a nice day

if you still can't understand feel free to ask me

#Captainpower

Answer:

21

Step-by-step explanation:

Kindly check the image below to see a visual of how the question is set up.

( my apologies for the terrible handwriting lol )

Now lets look back at the question.

The question is asking us to find the total length of Jayleen and Walter's entire walk.  

Essentially it's asking for the perimeter.

In order to find the perimeter we must find the length of the hypotenuse.

Notice that the image created forms a triangle with a right angle.

That being said we can use the Pythagorean Theorem to solve for the missing side length ( or the "shortcut" ) ( also note that the Pythagorean theorem only works with right triangles )

The Pythagorean theorem = [tex]a^2+b^2=c^2[/tex] where a and b = legs and c = hypotenuse

The two legs = 5 and 7 and the hypotenuse = the shortcut

That being said, we plug in the given values ( a and b ) and solve for "c"

[tex]5^2+7^2=c^2[/tex]

step 1: Simplify

[tex]5^2=25\\7^2=49\\25+49=74[/tex]

now we have 74 = c²

step 2 take the square root of each side

[tex]\sqrt{74} =8.60232\\\sqrt{c^2} =c[/tex]

we're left with c = 8.60232

This means that the shortcut that Jayleen and Walter took had a distance of 8.6

Finally we find the perimeter of the triangle

Perimeter = sum of side lengths

8.6 + 7 + 5 = 20.6

* round to the nearest whole number *

The answer would be 21

Answer:

586.7 ft^3

Step-by-step explanation:

1) find the base area

base area = radius^2 x pi = 7.6^2 x pi = 181,458392 ft^2

2) find the volume

V = (base area x height)/3 = (181,458392 x 9.7)/3 = 586.7 ft^3

Answer:

The answer for Acellus people is  9.8

Step-by-step explanation:

The missing side of Right triangle will be [tex]9.8[/tex].

Right triangle is a triangle in which one angle is of [tex]90^0[/tex].

We have,

Hypotenuse [tex]=18[/tex] cm

Perpendicular [tex]=x[/tex] cm

One of the angle [tex]=33^0[/tex]

So,

Using the Trigonometric angles,

[tex]Sin33^0=\frac{Perpendicular}{Hypotenuse}[/tex]

So,

[tex]Sin33^0=\frac{x}{18}[/tex]

⇒

[tex]x=18*Sin\ 33^0[/tex]

So,

[tex]x=9.8[/tex]

The missing side is [tex]9.8[/tex] .

Hence, we can say that the missing side of Right triangle will be [tex]9.8[/tex].

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Answer:

9+- 1.7

Step-by-step explanation:

Kahn

The required possible 90% confidence interval for the mean battery life is (10.95, 19.05) hours.

Statistic is the study of mathematics that deals with relations between comprehensive data.

Here,
Assuming that the sample means and sample standard deviation were calculated from the data, a possible 90% confidence interval for the population means battery life can be calculated using the t-distribution.

For example, if the sample mean is 15 hours and the sample standard deviation is 3 hours, with a sample size of 6 and a 90% confidence level, the t-interval would be:

t-interval = sample mean ± t*(sample standard deviation / √(sample size))

where t is the t-value with (sample size - 1) degrees of freedom and a 90% confidence level.

Using a t-table, the t-value for 5 degrees of freedom and a 90% confidence level is approximately 2.571. Plugging in the values, we get:

t-interval = 15 ± 2.571*(3 / √(6))

t-interval ≈ (10.95, 19.05)

Therefore, a possible 90% confidence interval for the mean battery life is (10.95, 19.05) hours.

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Answer:

50

Step-by-step explanation:

Since the ratio of tomatoes to red apples is 1 : 2.5, this means that you just have to multiply the amount of tomatoes (20) by 2.5 to get the answer. 20 * 2.5 is 50, your answer.

Answer:

B

Step-by-step explanation:

that's just what I got, I apologize if it's wrong!

Answer:

It's D. 90ft squared

Step-by-step explanation:

The equation for the surface area of an rectangular prism is 2(lw+lh+wh)

l=length

w= width

h=height

Answer:

2.5 B

Step-by-step explanation:

Given:

Line KJ represents a proportional relationship.

Point K lies at (12,14).

To find:

The ordered pair of the coordinates of point J.

Solution:

If y is proportional to x, then

[tex]y\propto x[/tex]

[tex]y=kx[/tex]

[tex]\dfrac{y}{x}=k[/tex]

Where, k is the constant of proportionality.

It means, the ratios of y to x for all the point in a proportional relationship are same.

Line KJ represents a proportional relationship. Point K lies at (12,14).

So, the constant of proportionality is:

[tex]k=\dfrac{14}{12}[/tex]

[tex]k=\dfrac{7}{6}[/tex]

Similarly, find the ratio of y to x for all given points.

In option a,

[tex]\dfrac{3.5}{3}=\dfrac{3.5\times 2}{3\times 2}[/tex]

[tex]\dfrac{3.5}{3}=\dfrac{7}{6}[/tex]

In option b,

[tex]\dfrac{15}{17.5}=\dfrac{15\times 2}{17.5\times 2}[/tex]

[tex]\dfrac{15}{17.5}=\dfrac{30}{35}[/tex]

[tex]\dfrac{15}{17.5}=\dfrac{6}{7}[/tex]

In option c,

[tex]\dfrac{0}{2}=0[/tex]

In option d,

[tex]\dfrac{3}{3.5}=\dfrac{3\times 2}{3.5\times 2}[/tex]

[tex]\dfrac{3}{3.5}=\dfrac{6}{7}[/tex]

The ratio of y to x of point (3,3.5) is equal to the ratio of given point K(12,14). So, the coordinates of point J are (3,3.5).

Therefore, the correct option is A.