True or False: A scalene obtuse triangle has sides of all different lengths, and it
contains one obtuse angle.
a. True
b. False

Answer: C.

Step-by-step explanation:

Total number of plants in Robert's garden = 8 + 4 + 16 + 22

= 50

Number of tomato plants in Robert's garden = 8

Ratio of total number of plants to the number of tomato plants = 50 : 8

Simplify

50 : 8 = 25:4

Answer:

A walking speed of 3 to 4 miles per hour is typical for most people. However, this can vary based on many factors including your fitness level, overall health, and age.

Step-by-step explanation:

Check the picture below.

Answer:

91

Step-by-step explanation:

due to PEMDAS, exponents first ('to the power of _')

since 3^4 is 3 * 3 * 3 * 3

3 * 3 = 9

9 * 3 = 27

27 * 3 = 81

therefore

3^4 = 81

then mutliplication (*)

2 * 5 = 10

then addition (+)

81 + 10 = 91

your answer is 91

hope this helps:)

Answer:

The Answer is 91

Step-by-step explanation:

I hope this helps Have a great day!!!!!

The equation of remaining chocolate C  in terms of t is C = 30 - 3t.

A mathematical statement called an equation demonstrates the balance or equality of two expressions. It contains of variables, integers, and mathematical operations and is denoted by the equal symbol (=). Equations may be solved to determine unknown values and are used to express relationships between various quantities. To solve for x in the equation 2x + 3 = 7, for instance, remove 3 from both sides, which gives 2x = 4, then divide both sides by 2, which gives x = 2.

Given that,

Initial number of chocolates in box = 30

Also given that after 8 nights, number of remaining chocolates = 6

Implies that,

In 8 nights, 24 chocolates were treated.

In 1 night, 3 chocolates were treated.

The equation of remaining chocolate C  in terms of t can be written as

C = 30 - 3t.

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You have the following equation:

In order to solve the previous equation for y, proceed as follow:

3 + y/2 = -212 subtract 3 both sides

y/2 = -212 - 3 simplify right side

y/2 = -215 multiply by 2 both sides to cancel the denominator left side

y = -215(2)

y = -430

Hence, the solution for y in the given equation is y = -430

The growth constant is 1.0986 and the trout population will increase to 14600 after 2.1 years. The result is obtained by using the logistic equation.

The increase of population can be found by using the logistic equation. It is

\(P(t) = \frac{K}{1 + Ae^{-kt} }\)

Where

Sunset Lake is stocked with the rainbow trout. We have

Find the growth constant k and time t when P(t) = 14600!

A = (K - P₀)/P₀

A = (28000 - 2800)/2800

A = 25200/2800

A = 9

After 1 year, we have 7000 rainbow trout. The growth constant is

\(7000 = \frac{28000}{1 + 9e^{-k(1)} }\)

\(1 + 9e^{-k} = 4\)

\(9e^{-k} = 3\)

\(e^{-k} = \frac{1}{3}\)

k = - ln (1/3)

k = 1.0986

Use k value to find the time when the population will increase to 14600!

\(14600 = \frac{28000}{1 + 9e^{-1.0986t} }\)

\(1.9178 = 1 + 9e^{-1.0986t}\)

\(0.9178 = 9e^{-1.0986t}\)

\(\frac{0.9178 }{9} = e^{-1.0986t}\)

\(t = \frac{ln \: 0.10198}{-1.0986}\)

t = 2.078

t ≈ 2.1 years

It is in another 1.1 years after t = 1.

Hence, the growth constant k is 1.0986 the population will increase to 14600 when t is 2.1 years.

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Answer:

should be 74 degrees,,,

Answer:

74

Step-by-step explanation:

Since angle 74 equals x

Answer:

1,000 days

Step-by-step explanation:

6 tires per minute = 600 per hour

600 per hour times 10 hours = 6,000 per day

Divide 6,000,000 by 6,000 per day = 1000 days.

Answer:

Step-by-step explanation: this is hard

Answer:

1000

Step-by-step explanation:

680 rounded to the nearest thousand is 1000.

Hope this helps! :D

Answer:

13.27 cm

Step-by-step explanation:

I am using (xy) to mean the length of the side xy

7^2 + (xy)^2 = 15^2

49 + (xy)^2 = 225

(xy)^2 = 225-49

(xy)^2 = 176

Side (xy) = sqrt(176) = 13.2664991614 = 13.27 cm

Answer:

-13

Step-by-step explanation:

Substitute:  -5 + 4 × (-2)

Remove the parentheses: -5 -4 ×2

Calculate the product or quotient: -5 -8

Calculate the sum or difference: -13

Answer:

\(8x-38\)

Step-by-step explanation:

\(3(x-6)+5(x-4)\\3x-18+5x-20\\3x+5x-18-20\\8x-38\)

Both figures have an area of 4 units squared, so yea, the area is the same.

The area of a square of side length S is equal to S squared, for the square, we can see that:

S = 2 units.

Then the area is:

A = (2 units)² = 4 square units.

For the triangle, we know that the area is equal to:

A = B*H/2

Where B = base, H = height.

We can see that:

B = 2 units.

H = 4 units.

Then:

A = (2 units)*(4 units)/2= 4 square units.

So yea, both have the same area.

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Answer:

yr question is not here!!!!!!!!!!

The absolute value function that matches the graph is given as follows:

y = -|x + 1| + 1.

An absolute value function of vertex (h,k) is defined as follows:

y = a|x - h| + k.

In which a is the leading coefficient.

The coordinates of the vertex in this problem are given as follows:

(-1, 1).

Hence:

y = a|x + 1| + 1.

The function is reflected over the x-axis with a slope of -1, hence the leading coefficient a is given as follows:

a = -1.

Thus the function is:

y = -|x + 1| + 1.

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Answer:

a. Probability density function for the battery life

\(f(x)={\begin{cases}{\dfrac {1}{12-8.5}}=\dfrac{1}{3.5}&\mathrm {for} \ 8.5\leq x\leq 12,\\[8pt]0&\mathrm {for} \ x<8.5\ \mathrm {or} \ x>12\end{cases}}\)

b. P(x<11) = 0.7143

Step-by-step explanation:

The question is incomplete

In October, Apple introduced a much smaller variant of the Apple iPad, known as the iPad Mini. Weighing less than 11 ounces, it was about 50% lighter than the standard iPad. Battery tests for the iPad Mini showed a mean life of hours (The Wall Street Journal, October 31, 2012). Assume that battery life of the iPad Mini is uniformly distributed between 8.5 and 12 hours.

a. Give a mathematical expression for the probability density function of battery life.

b. What is the probability that the battery life for an iPad Mini will be 11 hours or less (to 4 decimals).

a. We model the battery life as random variable with an uniform distribution with parameters a (min. value)=8.5 hours and b (max. value)=12 hours.

The probability that the battery life takes any value between 8.5 and 12 is constant. Also, the probability that takes any value outside the interval (8.5, 12) is 0.

We can express that as:

\(f(x)={\begin{cases}{\dfrac {1}{12-8.5}}=\dfrac{1}{3.5}&\mathrm {for} \ 8.5\leq x\leq 12,\\[8pt]0&\mathrm {for} \ x<8.5\ \mathrm {or} \ x>12\end{cases}}\)

The last is the probability density function for the battery life.

b. We can calculate P(x<11) using the cumulative density function or integrating the density function between x=0 (or x=a=8.5) and x=11.

\(P(x<11)=\int\limits^{11}_{8.5} \dfrac{1}{3.5} \, dx=\dfrac{1}{3.5}(x_2-x_1)=\dfrac{1}{3.5}(11-8.5)=\dfrac{2.5}{3.5}= 0.7143\)

Answer:sales tax rate would be 0.1

using the formula

Sales tax rate = Sales tax percent / 100

Answer:

70 feet

Step-by-step explanation:

Given

\(Sides: 23ft, 15ft, 32ft\)

Required

The tape needed

This implies that we calculate the perimeter (P)

This is calculated as:

\(P = \sum sides\)

So:

\(P = 23ft +15ft + 32ft\)

\(P = 70ft\)

Answer:

dude why does it say your in college?!?

Step-by-step explanation:

Also I DON'T KNOW just kidding um before some fork tard deletes my answer Hi how are you????

Answer:

x = 5

Step-by-step explanation:

Replace the y with zero as it shows in the chart that y=0

6x+ 2 (0)= 30

Solve from there

6x+0=30

6x/6=30/6

x = 5

B. The electrons in the wire would be pushed more quickly, so more electric current would be generated.

The generation of electric current in a wire due to a moving magnetic field is known as electromagnetic induction. According to Faraday's law of electromagnetic induction, a change in the magnetic field within a coil of wire induces an electromotive force (EMF) that generates an electric current in the wire.

The magnitude of the induced EMF and thus the generated electric current is proportional to the rate of change of the magnetic field, i.e., the faster the magnetic field changes, the greater the induced EMF and the generated electric current.

Therefore, if the magnet is moved quickly through the cardboard tube, the magnetic field within the coil will change more quickly, inducing a larger EMF and generating more electric current in the wire.

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\((\stackrel{x_1}{8}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{8}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{8}-\stackrel{y1}{5}}}{\underset{\textit{\large run}} {\underset{x_2}{5}-\underset{x_1}{8}}} \implies \cfrac{ 3 }{ -3 } \implies - 1\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{- 1}(x-\stackrel{x_1}{8}) \\\\\\ y-5=-x+8\implies {\Large \begin{array}{llll} y=-x+13 \end{array}}\)

Answer:

x = 31

Step-by-step explanation:

So, the angle of a line is 180 degrees. This is a very important fact, because this means that (5x - 16) + (x + 10) = 180 degrees.

Note: The parenthesizes are not needed, but I put them there to symbolize the adding of those two angles that make up the line.

Adding like terms, we get:

6x - 6 = 180

Move the -6 over to the right side.

We get:

6x = 186

Dividing both sides by 6, we get the value of x:

x = 31

If you have any questions, please don't be afraid to ask!

Answer:

\(\begin{aligned}SA &= 7.125\pi \text{ in}^2\\& \approx 22.4 \text{ in}^2 \end{aligned}\)

Step-by-step explanation:

We can find the Surface Area of the can by adding the areas of each of its parts:

\(SA = 2( A_{\text{base}}) + A_\text{side}\)

First, we can calculate the area of the circular base:

\(A_{\text{circle}} = \pi r^2\)

\(A_{\text{base}} = \pi (0.75 \text{ in})^2\)

\(A_{\text{base}} = 0.5625\pi \text{ in}^2\)

Next, we can calculate the area of the rectangular side:

\(A_\text{rect} = l \cdot w\)

\(A_\text{side} = (4\text{ in}) \cdot C_\text{base}\)

Since the width of the side is the circumference of the base, we need to calculate that first.

\(C_\text{circle} = 2 \pi r\)

\(C_\text{base} = 2 \pi (0.75 \text{ in})\)

\(C_\text{base} = 1.5 \pi \text{ in}\)

Now, we can plug that back into the equation for the area of the side:

\(A_\text{side} = (4\text{ in}) (1.5\pi \text{ in})\)

\(A_\text{side} = 6\pi \text{ in}^2\)

Finally, we can solve for the surface area of the can by adding the area of each of its parts.

\(SA = 2( A_{\text{base}}) + A_\text{side}\)

\(SA = 2(0.5625\pi \text{ in}^2) + 6\pi \text{ in}^2\)

\(\boxed{SA = 7.125\pi \text{ in}^2}\)

\(\boxed{SA \approx 22.4 \text{ in}^2}\)

The equation of the hyperbola is \(\frac{(x-2)^2}{16}+ \frac{y^2}{9}=1\).

Given,

slopes of asymptotes=±\(\frac{3}{4}\)

From given graph,

it is observed that the vertices of hyperbola are (-2,0) and(6,0).

In general the equation of asymptote can be written as y=±\(\frac{b}{a}\)x

on comparing a=4 and b=3

As the vertices and foci are on line parallel to x-axis, the standard form of equation will be \(\frac{(x-h)^2}{a^2}+ \frac{(y-k)^2}{b^2}=1\)

Where, (h,k) is the centre of hyperbola

find the mid point of the two vertices to determine (h,k)

\((h,k)=(\frac{x1+x2}{2},\frac{y1+y2}{2})\\\\(h,k)=(\frac{-2+6}{2},\frac{0+0}{2})\\\\(h,k)=(2,0)\)

Equation will be

\(\frac{(x-2)^2}{4^2}+ \frac{(y-0)^2}{3^2}=1\\\\\frac{(x-2)^2}{16}+ \frac{y^2}{9}=1\)

Thus, the standard form of equation of the hyperbola is \(\frac{(x-2)^2}{16}+ \frac{y^2}{9}=1\).

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Answer:

23 2/3 i think sorry for the other my sponese  my sister came and typed the response

Answer:

34

Step-by-step explanation:

(4x+y)^2-3z for x=2,y=-1,and z=5

LET'S SUBSTITUTE.

(4(2)+(-1))^2-3(5)

TAKE NOTE OF THE SIGNS (-) (+).

=(8-1)^2 - 15

= (7)^2 - 15

SOLVE THE NUMBERS ASSOCIATED WITH THE BRACKETS FIRST.

= 49 - 15

= 34

PLEASE THANK, RATE 5 STARS, GIVE BRAINLIEST. THANK YOU.

Answer: ok look a file then help me with my question name is bryanosuji

Step-by-step explanation:

Answer:

1/5x

Step-by-step explanation:

1/5x