A population of 950 bacteria grows continuously at a rate of 4.75% per day.
Write an exponential function, N (t ), that represents the bacterial population after t days.

Given:

In triangle KLM, KL = 123 cm and measure of angle K is 35 degrees.

To find:

The length of the side KM to the nearest tenth of a centimeter.

Solution:

In a right angle triangle,

[tex]\cos \theta =\dfrac{Base}{Hypotenuse}[/tex]

In the given right triangle KLM,

[tex]\cos K=\dfrac{KM}{KL}[/tex]

[tex]\cos (35^\circ)=\dfrac{KM}{123}[/tex]

[tex]0.819152=\dfrac{KM}{123}[/tex]

Multiply both sides by 123.

[tex]0.819152\times 123=KM[/tex]

[tex]100.755696=KM[/tex]

[tex]KM\approx 100.8[/tex]

The measure of side KM is 100.8 cm.

Therefore, the correct option is (2).

Answer:

Step-by-step explanation:

2+4(6-2x)=8

2+24-8x=8

26-8x=8

26-8=8x

18/8=x

2.25=x

substitute the value of x

2+4(6-2x)

2+4(6-2*2.25)

2+6

8

therefore 8=8 so it is true

Answer:

Did this about a year ago but you should try math-way it gives the correct answers, and if you by any chance are doing ap ex go to those online tutors. You decide if it's camera on or off. Sorry I couldn't help more, it's been a while.

The measure of m∠z is 135°.

A closed two-dimensional figure having eight sides, eight vertices, and eight interior angles is known as an octagon. An octagon is referred to as a regular octagon if all of its sides and internal angles are of equal length; otherwise, it is referred to as an irregular octagon.

As, Each inner angle is the same measure because it is a regular octagon.

To calculate the interior angle sum of a polygon, we have a formula.

The total internal angle of a polygon

= (n -2)180°, where "n" is the number of sides.

Here, n = 8

Then, sum of the interior angles.

= (8 -2)180

= 6 x 180

= 1080°

Thus, the measure of m∠z = 1080/ 8  = 135°

Learn more about Octagon here:

https://brainly.com/question/11658698

#SPJ7

Answer:

I'm sorry hindi ko po alam

Answer:

0.1102 = 11.02% probability of x >= 0.337 if the windows meet the standards.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The standards for glass thickness call for the glass to average 0.325 inch with a standard deviation equal to 0.065 inch.

This means [tex]\mu = 0.325, \sigma = 0.065[/tex]

Sample of 44

This means that [tex]n = 44, s = \frac{0.065}{\sqrt{44}}[/tex]

What is the probability of x >= 0.337 if the windows meet the standards?

This is 1 subtracted by the p-value of Z when X = 0.337. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.337 - 0.325}{\frac{0.065}{\sqrt{44}}}[/tex]

[tex]Z = 1.225[/tex]

[tex]Z = 1.225[/tex] has a p-value of 0.8898

1 - 0.8898 = 0.1102

0.1102 = 11.02% probability of x >= 0.337 if the windows meet the standards.

Answer:

they are rational numbers

Answer:

x = -4, -5, -6, -7...

Step-by-step explanation:

x = all negative integers less than -3

Answer:

x=5

Step-by-step explanation:

4(−1)+3=31

4−4+3=31

Answer:

A) 6

Step-by-step explanation:

Answer:

one of the triangles is 7.5, if you need both areas then it is 15cm2

Step-by-step explanation:

multiple 3x5=15, this will make it for a square. To create the triangle, you just divide it by two, because two triangel make a square.

Answer:

0.48

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

20 - x = 3x

Step-by-step explanation:

A number less than 20 amounts to three times the number

20 - x = 3x

[tex]\boxed{30.6}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]9 \times 3.4 \\ = 30.6[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

Answer:

Step-by-step explanation:

Answer:

this is a line with a slope of 1 and a y-intercept of 3

Answer:

Step-by-step explanation:

hi: the second, the third and the last one are true

Answer:

The second, the third and the last statement is true.

Hope this helps!

Answer:

x = 9

Step-by-step explanation:

m<K = 71°

arc JL = 16x - 2

m<k = ½(arc JL) => inscribed angles theorem

Substitute

71 = ½(16x - 2)

Multiply both sides by 2

71*2 = 16x - 2

142 = 16x - 2

Add 2 to both sides

142 + 2 = 16x - 2 + 2

144 = 16x

Divide both sides by 16

144/16 = 16x/16

9 = x

x = 9

Answer:

Mind showing a picture?

Thank you!

Answer:

there are three ways

Step-by-step explanation:

three choclate chip

two choclate chip one oatmeal rasin

1 choclate chip 2 oatmeal rasin

Answer:

I would love to help you but what am I helping with there is no question there other that "Help me plssssss"

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Answer:

B. [tex] \frac{125}{6}* \pi [/tex] yd³

Step-by-step explanation:

Given:

Surface area of a sphere = 25π yd²

Required:

Volume

Solution:

Let's find the radius (r) first.

S.A of sphere = 4πr²

Substitute

25π = 4πr²

Divide both sides by 4π

25π/4π = r²

25/4 = r²

Take the square root of both sides

√25/√4 = r

5/2 = r

r = 5/2 yd

Find the Volume of the sphere

V = ⁴/3*πr³

V = ⁴/3*π*(⁵/2)³

V = ⁴/3*π*125/8

V = ⅓*π*125/2

V = [tex] \frac{1*125}{3*2}* \pi [/tex]

V = [tex] \frac{125}{6}* \pi [/tex] yd³

Answer:

Option A, 130°

Hope this helps!

Answer:

D. Length

Step-by-step explanation:

We measure the length of a line segment, and thus, the correct answer is given by option D.

The length of a line segment is the distance between it's endpoints, using the formula for the distance between two points given below.

Distance between two points:

Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Answer:

This is a case of direct variation. Hence,

210/1=x/2

x=420

since 2 pandas eat it each day hence

420/7

=60

60 pounds is the answer.(sure)

Step-by-step explanation:

Hope it helps you.

Answer: 60 pounds

Step-by-step explanation:

210 pounds a week

Divide by 7 days (a week)

Equals 30 pounds a day/ per panda

There is 2 pandas so 30 pounds times 2 equals 60 pounds

Answer:

(-4,9)

Step-by-step explanation:

When you reflect over the y axis, The X coordinate changes to opposite, the Y doesn't change

Answer:

angle 2 and 4....1and 3

Step-by-step explanation:

the lines bisects each other forming two equal but adjacent angles which are vertically opposite

Answer:

X = 30

Step-by-step explanation:

You can find the answer by solving for line RS through the corresponding ratio and adding it to the known value of ST.