Last night, the temperature fell from 0°F to -13 1/5 in 4 2/5 hours. What was the average temperature change per hour? Solve the division problem.
-13 1/5 ÷ 4 2/5

Answer:

[tex] \huge{ \boxed{ \bold{ \tt{m \angle \: abc \: = 35 \degree}}}}[/tex]

Option C is the best choice.

Step-by-step explanation:

✺ First , Let's know about Corresponding angles :

✎ Now, In our case , x ° and ( 3x - 70 ) ° are corresponding angles. Set up an equation and solve for x.

[tex] \sf{x = 3x - 70\: ( \: being \: corresponding \: angles})[/tex]

[tex] \longrightarrow{ \sf{x - 3x = - 70}}[/tex] { Move 3x to left hand side and change it's sign )

[tex] \longrightarrow{ \sf{ - 2x = - 70}}[/tex] { Combine like terms }

[tex] \longrightarrow{ \sf{ \frac{ - 2x}{ - 2} = \frac{ - 70}{ - 2} }}[/tex] { Divide both sides by -2 }

[tex] \longrightarrow{ \sf{x = 35}}[/tex]

The value of x is 35°

Now, As we are asked to find the value of m [tex] \angle[/tex] ABC , replace the value of x :

[tex] \sf{m \angle \: ABC \: = (3x - 70) \degree}[/tex]

[tex] \dashrightarrow{ \sf{(3 \times 35 - 70) \degree}}[/tex]

[tex] \dashrightarrow{ \sf{(105 - 70) \degree}} [/tex]

[tex] \longrightarrow{ \boxed{ \sf{35 \degree}}}[/tex]

Therefore , m [tex] \angle[/tex] ABC = 35°

And we're done !

Hope I helped!

Best regards! :)

~TheAnimeGirl

Answer:

Select the correct answer.

Scientists studying biodiversity of amphibians in a rain forest have discovered that the number of species is decreasing by 2% per year. There are currently 74 species of amphibians in the rain forest. Which logarithmic function models the time, , in years, it will take the number of species to decrease to a value of n?

The answer is D.

Step-by-step explanation:

The logarithm function that models the time, f(n) , in years is [tex]\rm f(n) = log_{0.98} (\dfrac{n}{74})[/tex], the correct option is D.

An exponential function can be represented in the form f(x) = abˣ.

The number of species is decreasing by 0.02

Current number of species = 74

The time f(n) years is given by

f(n) = 74 (0.98)ⁿ

Converting exponent to logarithm form

x = aⁿ

y = logₓ a

f(n) = 74 (0.98)ⁿ

[tex]\rm f(n) = log_{0.98} (\dfrac{n}{74})[/tex]

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Answer:

we conclude that an inequality 'c ≥ 5' denotes this situation.

Step-by-step explanation:

Given

When we talk about 'at least', it means we are talking about '≥' in terms of representing the 'at least' in inequality symbol.

For instance,

'm≥n' means 'm' is greater than or equal to 'n'.

It means 'm' is at least equal to 'n'.

Coming back to the question,

As the car dealer ship sells at least 5 minivans. so the

inequality will be: c ≥ 5

Thus, we conclude that an inequality 'c ≥ 5' denotes this situation.

Answer: 37.5 V

Step-by-step explanation:

====================================================

Explanation:

Inscribed angle ADB subtends the minor arc AB. Inscribed angle ACB subtends the same minor arc AB. The rule is that if two inscribed angles subtend the same arc, then they are the same measure.

We can prove this with the inscribed angle theorem which says

central angle = 2*(inscribed angle)

Let's say point E is the center of the circle. By the inscribed angle theorem, we know that,

angle AEB = 2*(angle ADB)

angle AEB = 2*43

angle AEB = 86

Then we go in reverse of this process to find angle ACB

angle AEB = 2*(angle ACB)

86 = 2*(angle ACB)

2*(angle ACB) = 86

angle ACB = 86/2

angle ACB = 43

So this is how we prove the two inscribed angles are congruent.

Answer:

Step-by-step explanation:

Associative property of multiplication:

It makes calculations easier by by grouping easy ones. Applying to given expression:

Answer:

(6*3/2)1/5

Step-by-step explanation:

A-P-E-X

3.6.2 CST

Answer:

There is a 55% increase in the number of games.

Step-by-step explanation:

Step 1: Calculate the change (subtract old value from the new value)

Step 2: Divide that change by the old value (you will get a decimal number)

Step 3: Convert that to a percentage (by multiplying by 100 and adding a % sign)

Answer:

20=100%

31=x

31*100/20=155%

Step-by-step explanation:

Answer:

1680 girls

Step-by-step explanation:

if the amount of boy is 5/1200 you divide 5 by 1200 to get 240 so multiply 240 by 7

Answer:

I am thinking that the answer is B.

Step-by-step explanation:

Answer:

Step-by-step explanation:

y=2x+1

y=x^2

The other one isn't a function because it won't pass the vertical line test. You can not use the same X in a function.

Answer:

c= 1.16n

Step-by-step explanation:

j

Answer:

$12

Step-by-step explanation:

Find the discount by multiplying the cost of the bat by the discount:

80 * 0.15 = 12

Hope that helps! :D

Answer: it’s not 5 I got that wrong

Step-by-step explanation:

y-intercept of function f is 1.

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given function

f(x) = -3x -2 , -∞ < x < -2

     = -x + 1, -2 ≤ x < 3

     = 2x + 5, 3 ≤ x < ∞

For y-intercept, x =0, f(x) = -x + 1                   [∵ -2 < 0 < 3]

f(0) = -0 + 1

= 1

Hence, y-intercept of function f is 1.

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Answer:

3x + 7 = -20

3x = -20-7

3x = -27

3x ÷ 3 = x

- 27 ÷ 3 = -9

x= -9

Answer:

Slope=2

x−intercept=−  

2

4

​  

=−2

y−intercept=  

1

4

​  

=4.00000

Step-by-step explanation:

Answer:

126

Step-by-step explanation:

x=24

140-24= 126

Answer:

what's is the answer I need help I'm begging you guys please help me

Answer:

20 kph

Step-by-step explanation:

Step 1:

10 : 30         Ratio

Step 2:

60 mins in hour        

Step 3:

10 : 30 = x : 60        Equation

Step 4:

30x = 600       Multiply

Step 5:

x = 600 ÷ 30         Divide

Answer:

x = 20

Hope This Helps :)

[tex]\huge\underline{\overline{\mid{\bold{\red{ANSWER}}\mid}}}[/tex]

She needs 45 kg meat for 2 pets

each pet feed the same, i.e,

one pet eats = 45/2 = 22.5 kg meat

then 4 pet dragons will eat = [tex] 22.5kg \times 4 = 90 kg [/tex] meat.

Hence, Amara needs 90 kilograms of meat to feed 4 pet dragons each day.

Answer:

A) 5, 12, 13

Step-by-step explanation:

[tex]5^2 + 12^2 = 169[/tex]

[tex]13^2 = 169[/tex]

∴ Option A is a Pythagorean triad.

[tex]1^2 + 2^2 = 5[/tex]

[tex]3^2 = 9[/tex]

∵[tex]5\neq 9[/tex], ∴ Option B is not a Pythagorean triad.

[tex]6^2 + 9^2 = 117[/tex]

[tex]10^2 = 100[/tex]

∵[tex]117\neq 100[/tex], ∴Option C is not a Pythagorean triad.

∴ A is the only Pythagorean triad out all three options.

Hope this helps :)

Answer:

A= 12

B = -4

Step-by-step explanation:

( -3,0) & (0,9) should satisfy the equation Ax + By = -36

when ( -3,0)

-3A+ 0 = -36

A = 12

when (0,9)

0 + 9B = -36

B = -4

The value of A and B is 12 and -4.

Given that,

Based on the above information, the calculation is as follows:

Ax + By = -36

When (-3,0)

So,

-3A+ 0 = -36

A = 12

Now  

when (0,9)

So,  

0 + 9B = -36

B = -4

Therefore we can conclude that the value of A and B is 12 and -4.

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Answer:

-70b+22

Step-by-step explanation:

Simplify each term

apply the distributive property

2-10(7b)-10 *2

multiply 7 by -10

2-70b+-10*-2

multiply -10 by -2

2-70b+20

add 2 and 20

-70b+22

Answer:

I think it's D

Step-by-step explanation:

Answer:

Create a proportion.

[tex]\frac{5}{6} = \frac{305}{x}\\[/tex]

This proportion is saying,

"If 5 corresponds to 6, then 305 corresponds to what?"

Cross multiply.

5x = 305(6)

5x = 1830

x = 1830 / 5

x = 366

So, the shadow of the statue should be 366 feet.

Answer:

y=2.50x+20

Step-by-step explanation

Slope intercept equation is = y=mx+b

So you BEGIN with 20, which is your membership fee (it only gets charged once) then your mx is your slope. 2.50 is your slope because they earn 2.50 for each (x) video rented.  

you place a number beside the x for each video rented. For example, if you rent 2 videos then you write this y=2.50(2)+20

Answer:

slope:2.50

y intercept:20$

Step-by-step explanation:

Answer:

Domain: {x|x∈R}

Range: ,{y|y∈R}

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

Answer:

......the answer is 6......