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4 years ago

13

PLEASE HELP RIGHT AWAY!!

2 answers:

umka2103 [35]4 years ago

4 0

Answer:

8.40 cm

Step-by-step explanation:

7^2+5^2=x^2

49+25=x^2

74=x^2

x≈8.6

babymother [125]4 years ago

3 0

Answer:

A; 8.60

Step-by-step explanation:

$a^{2} +b^{2} = c^{2}$

$7^{2} + 5^{2} = c^{2}$

$49+25=c^{2}$

$74=c^{2}$

$\sqrt{74} =c$

8.60 = c

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Solve for k<br>8k-2z=16

jeka57 [31]

Step-by-step explanation:

8k -2z = 16

to solve for k let's add 2z both sides

8k = 16+2z

divide both sides of the equation by 8

8k/8= 16+2z/8

k= 16+2Z /8

6 0

3 years ago

Amelie is making a recipe that uses 1 3/4 cups flour. She is making 2 1/2 times the original recipe.

elixir [45]

Answer:

She would need $4\frac{3}{8}$ flour to make $2\frac{1}{2}$ times the recipe.

Step-by-step explanation:

To make 1 recipe Amelia uses = $1 \frac{3}{4}\ cups$ of flour.

So, to make $2\frac{1}{2}$ times the recipe she would need = $1 \frac{3}{4}\times 2\frac{1}{2}$ .

We evaluate the above mixed numbers by converting them to fraction(by multiplying denominator with whole number and adding to numerator and write as fraction of same denominator.).

$=\frac{7}{4}\times \frac{5}{2}$

$=\frac{35}{8}$

Then converting back to mixed number (by dividing the numerator by denominator and writing the quotient as the whole number and the remainder as fraction with same denominator.

$\frac{35}{8}=4\frac{3}{8}$

So, she would need $4\frac{3}{8}$ flour to make $2\frac{1}{2}$ times the recipe.

7 0

3 years ago

Put the following equation in Slope-intercept form. y=mx+b is the form you are looking for.

Elenna [48]

Answer:

y= -2x+23

Step-by-step explanation:

Subtract 2x over

7 0

3 years ago

The sum of three consecutive integers is 141. What is the smallest integer?

Sonja [21]

Answer:

The Consecutive number are 46 , 47 and 48 having sum as 141

The smallest number is 46

Step-by-step explanation:

• A consecutive numbers means number are in a sequence and are one after the another !

e.g. n , (n+1). Or 1 , 2 are consecutive numbers

• A consecutive even numbers differ by 2 because all even numbers are divisible by 2 !

• If the number is divisible by x we must had taken number as n , ( n + x ) ,

( n + 2x )

• Let the numbers be ( n - 1 ) , n and

( n + 1 )

Given ,the sum of numbers is 141

n - 1 + n + n + 1 = 141

3n = 141

n = 141/3

n = 47

So, the numbers are

n- 1 = 47 - 1 = 46

n = 47

n + 1 = 48

And , the smallest number is 46

• Verification :-

46 + 48 + 47 = 141

Which satisfies the given condition !!

Hence , verified !!

8 0

4 years ago

If 3,000 bacteria, with a growth constant (k) of 2.8 per hour, are present at the beginning of an experiment, in how many hours

Ivenika [448]

Given:

Initial number of bacteria = 3000

With a growth constant (k) of 2.8 per hour.

To find:

The number of hours it will take to be 15,000 bacteria.

Solution:

Let P(t) be the number of bacteria after t number of hours.

The exponential growth model (continuously) is:

$P(t)=P_0e^{kt}$

Where, $P_0$ is the initial value, k is the growth constant and t is the number of years.

Putting $P(t)=15000,P_0=3000, k=2.8$ in the above formula, we get

$15000=3000e^{2.8t}$

$\dfrac{15000}{3000}=e^{2.8t}$

$5=e^{2.8t}$

Taking ln on both sides, we get

$\ln 5=\ln e^{2.8t}$

$1.609438=2.8t$ $[\because \ln e^x=x]$

$\dfrac{1.609438}{2.8}=t$

$0.574799=t$

$t\approx 0.575$

Therefore, the number of bacteria will be 15,000 after 0.575 hours.

4 0

3 years ago