A falcon flew 70 miles in 3 hours. What was the speed of the falcon?

speed = distance over time ; 1 mile = 1609 meters.

Answer:

what is the question

Step-by-step explanation:

i don't understand what you're trying to say

I think the answer is 54.

Answer and Step-by-step explanation:

Part A: Exponential equation is the "opposite" of logarithmic equation, so:

[tex]y=log_{b}m[/tex]

[tex]b^{y}=m[/tex]

Part B: Using log with base c:

[tex]log_{c}b^{y}=log_{c}m[/tex]

Power property of logarithm states that if the anti-logarithm is elevated at a power, the elevated number can be pulled in front of the logarithm:

[tex]ylog_{c}b=log_{c}m[/tex]

Solving for y:

[tex]y=\frac{log_{c}m}{log_{c}b}[/tex]

Part C: To facilitate the use of calculators, which only have values for the base-10 log and natural log, we use change of base formula, i.e., transform

[tex]y=log_{b}m[/tex]

into

[tex]y=\frac{log_{c}m}{log_{c}b}[/tex]

Part D: [tex](log_{3}z)(log_{z}27)[/tex]

Change of base will be:

[tex]log_{3}z=\frac{log_{10}z}{log_{10}3}[/tex]

[tex]log_{z}27=\frac{log_{10}27}{log_{10}z}[/tex]

Solving:

[tex](log_{3}z)(log_{z}27)[/tex] = [tex](\frac{log_{10}z}{log_{10}3})(\frac{log_{10}27}{log_{10}z} )[/tex]

[tex](log_{3}z)(log_{z}27)[/tex] = [tex]\frac{log_{10}27}{log_{10}3}[/tex]

[tex](log_{3}z)(log_{z}27)[/tex] = [tex]\frac{log_{10}3^{3}}{log_{10}3}[/tex]

[tex](log_{3}z)(log_{z}27)[/tex] = [tex]\frac{3log_{10}3}{log_{10}3}[/tex]

[tex](log_{3}z)(log_{z}27)[/tex] = 3

Part E: [tex]log_{7}300[/tex]

Using change of base:

[tex]log_{7}300=\frac{log300}{log7}[/tex]

[tex]log_{7}300=\frac{2.48}{0.85}[/tex]

[tex]log_{7}300[/tex] ≈ 3

Answer:

x= -40/3

Step-by-step explanation:

Answer: 1/6

Step-by-step explanation:

1/2 divided by 3/1 turns into 1/2 x 1/3 and when multiplying numerators and denominators with each other, you get 1/6.

Answer:

ez b no doubt

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:

2.7

Step-by-step explanation:

Answer:

203

Step-by-step explanation:

The mean is the number after it has been divided by 7,therefore to get the original total you need to multiply the mean [27] by the divisor [7] . Basically you're reversing the original problem.

Answer:

(6,1)

Step-by-step explanation:

In order to find the third point, you first need to identify the side length of XZ. X is (1, 1) and Z is (1, 5). In order to find the length of this segment, you just need to subtract 1 from 5 since that is the difference in the y-values and the x-values are the same.

Now, you know that XZ = 4. The problem says that the area of the triangle is 10, and the area of a triangle is a = [tex]\frac{1}{2}[/tex]bh, so you can just insert the values into the equation to solve for the base:

a = [tex]\frac{1}{2}[/tex]bh

= 10 = (1/2) * b * 4

= 10 = 2b

= 5 = b

Because the base is 5 units long, you can just add 5 to the x-value of the point Z, since Y is 5 units to the right of it

Y is (1 + 5, 1)

Y is (6,1)

Answer:

2nd choice

Step-by-step explanation:

The slope is 2/3 (rise/run) and the y-intercept is -2

When you put those values into f(x) = mx + b, you get f(x) = 2/3x - 2

Answer:

5/18

Step-by-step explanation:

Parentheses next to each other mean to multiply. So, this problem means you need to multiply -4/9 and -5/8. To multiply fractions, you just have to multiply across. To make it easier to understand what I mean...

-4 x -5  = 20 (when you multiply two negatives, it makes a positive)

9 x 8   = 72

20/72 simplifies to 5/18.

Hope this helps!! Have a wonderful day C:

Answer:

8 because this is a negitive and the oppisite is postivie so it is 8

Step-by-step explanation:

-8 is negitive on the oppisite side of the number line is positive 8 the answer is 8.

Answer:

The opposite of -8 is 8. The absolute value of -8 is 8.

Step-by-step explanation:

- 0.8

Simple division. Shouldn’t be that hard

Answer:

a

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

i have answered questions like this before and I've also answered this question

Answer:

$2.25

Step-by-step explanation:

9/4=2.25

checking work:

2.25+2.25=4.50

4.50+4.50=9

Answer:

ok

Step-by-step explanation:

❤️

Answer:

okay jekwkwkwisjwjqkwkjskwwwkwkwkwk s wowowi

Answer:

112

Step-by-step explanation:

H + 2H = 336

3 = 336/H

112=H

The required value of v is -2 for a given line with a slope of 8.

The slope of a line is defined as the angle of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)

Given data as :

The points given are (-2,-10) and (-1, v).

Since the line with a slope of 8.

So in this case, we have:

m = (v - (-10)) / (-1 - (-2))

Solving for v:

8 = (v + 10) / 1

8 = (v + 10)

v = -10 + 8

Apply the subtraction operation, and we get

v = -2

Thus, the required value of v is -2.

Learn more about the Slope of the Line here:

brainly.com/question/14511992

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Answer:

d

Step-by-step explanation:

Answer:

Step-by-step explanation:

1/6

The probability of getting 3 is 1/6.

Probability is defined as the possibility of an event to be happened which is the ratio of no. of favorable outcomes and total no. of outcomes.

Probability of an event = P(E) = No. of favorable outcomes/Total No. of outcomes

Here given that the dice are fair and six-sided is rolled.

Total no. of outcomes by rolling the dice = 6 i.e. {1,2,3,4,5,6}

The event is to get the number 3 by rolling the dice.

The favorable outcome is = {3}

Number of favourable outcomes= 1 i.e. {3}

As the dice is the set of equally likely outcomes.

Probability of getting 3 = P(getting 3)= No. of favorable outcomes/Total No. of outcomes= 1/6

Therefore the probability of getting 3 is 1/6.

Learn more about probability

here: https://brainly.com/question/14192140

#SPJ2

Answer:

93/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

let Emma age be x now

Let Joseph age be y now

If Emma is 10 years younger than Joseph, then x = y-10

six years from now:

Emma will be x+6 years

Joseph will be y+6 years

If Joseph's age 6 years from  now will exceed twice Emma's age 2 years ago by 3 years, then:

y+6 = 2(x+6-2) + 3

y+6 = 2(x+4)+3

y + 6 = 2x+11

y + 6 = 2(y-10)+!1

y + 6 = 2y-20+11

y - 2y = -9-6

-y = -15

y = 15

Since x = y -10

x = 15-10

x = 5

Hence Emma is 5years old now and Joseph is 15years old now

Answer:

yes it can i think

Step-by-step explanation:

Answer:

Three.

Step-by-step explanation:

An analyst wants to include Level of Education in a regression model.

Level of Education has 4 possible values - HS, BS, MS, PHD

How many dummy variables must the analyst add to the regression model, in order to account for the variable LEVEL OF EDUCATION?

Since LOE has 4 possible values, (4 - 1 = 3) dummy variables will be added to the regression model.

If the dummy letter is M for instance, and 1 represents the presence of a particular LOE and 0 represents the absence of that LOE;

M1 = 1 when LOE is HS   but =0 when LOE is otherwise

M2 = 1 when LOE is BS   but =0 when LOE is otherwise

M3 = 1 when LOE is MS   but  =0 when LOE is otherwise

So, when M1, M2, M3 are equal to 0, the PHD value is represented.