why is the solution to the following equation? x+(-21)=8

Answer:

b

Step-by-step explanation:

Note that

> means greater than

< means less than

≥ means greater than or equal to  

≤ less than or equal to  

for example : 2 < 3 means 2 is less than 3

3 >2 means 3 is greater than 2

leslie wants to carry no more than 20 pounds. this means she wants to carry less than 20 pounds

w < 20

Answer:

It will take Will 12 days to read the whole book.

Step-by-step explanation:

36 ÷ 3

= 12

:))

36 ➗ 3 = 12

12 days .........

Answer:

[tex](a)\ \sec^2(\theta) = 82[/tex]

[tex](b)\ \cot(\theta) = \frac{1}{9}[/tex]

[tex](c)\ \cot(\frac{\pi}{2} - \theta) = 9[/tex]

[tex](d)\ \csc^2(\theta) = \frac{82}{81}[/tex]

Step-by-step explanation:

Given

[tex]\tan(\theta) = 9[/tex]

Required

Solve (a) to (d)

Using tan formula, we have:

[tex]\tan(\theta) = \frac{Opposite}{Adjacent}[/tex]

This gives:

[tex]\frac{Opposite}{Adjacent} = 9[/tex]

Rewrite as:

[tex]\frac{Opposite}{Adjacent} = \frac{9}{1}[/tex]

Using a unit ratio;

[tex]Opposite = 9; Adjacent = 1[/tex]

Using Pythagoras theorem, we have:

[tex]Hypotenuse^2 = Opposite^2 + Adjacent^2[/tex]

[tex]Hypotenuse^2 = 9^2 + 1^2[/tex]

[tex]Hypotenuse^2 = 81 + 1[/tex]

[tex]Hypotenuse^2 = 82[/tex]

Take square roots of both sides

[tex]Hypotenuse =\sqrt{82}[/tex]

So, we have:

[tex]Opposite = 9; Adjacent = 1[/tex]

[tex]Hypotenuse =\sqrt{82}[/tex]

Solving (a):

[tex]\sec^2(\theta)[/tex]

This is calculated as:

[tex]\sec^2(\theta) = (\sec(\theta))^2[/tex]

[tex]\sec^2(\theta) = (\frac{1}{\cos(\theta)})^2[/tex]

Where:

[tex]\cos(\theta) = \frac{Adjacent}{Hypotenuse}[/tex]

[tex]\cos(\theta) = \frac{1}{\sqrt{82}}[/tex]

So:

[tex]\sec^2(\theta) = (\frac{1}{\cos(\theta)})^2[/tex]

[tex]\sec^2(\theta) = (\frac{1}{\frac{1}{\sqrt{82}}})^2[/tex]

[tex]\sec^2(\theta) = (\sqrt{82})^2[/tex]

[tex]\sec^2(\theta) = 82[/tex]

Solving (b):

[tex]\cot(\theta)[/tex]

This is calculated as:

[tex]\cot(\theta) = \frac{1}{\tan(\theta)}[/tex]

Where:

[tex]\tan(\theta) = 9[/tex] ---- given

So:

[tex]\cot(\theta) = \frac{1}{\tan(\theta)}[/tex]

[tex]\cot(\theta) = \frac{1}{9}[/tex]

Solving (c):

[tex]\cot(\frac{\pi}{2} - \theta)[/tex]

In trigonometry:

[tex]\cot(\frac{\pi}{2} - \theta) = \tan(\theta)[/tex]

Hence:

[tex]\cot(\frac{\pi}{2} - \theta) = 9[/tex]

Solving (d):

[tex]\csc^2(\theta)[/tex]

This is calculated as:

[tex]\csc^2(\theta) = (\csc(\theta))^2[/tex]

[tex]\csc^2(\theta) = (\frac{1}{\sin(\theta)})^2[/tex]

Where:

[tex]\sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]

[tex]\sin(\theta) = \frac{9}{\sqrt{82}}[/tex]

So:

[tex]\csc^2(\theta) = (\frac{1}{\frac{9}{\sqrt{82}}})^2[/tex]

[tex]\csc^2(\theta) = (\frac{\sqrt{82}}{9})^2[/tex]

[tex]\csc^2(\theta) = \frac{82}{81}[/tex]

Answer:

Option D

Step-by-step explanation:

Given f(x) = [tex]\sqrt[3]{4x}[/tex]

g(x) = 2x + 3

Since, [tex](\frac{f}{g})(x)=\frac{f(x)}{g(x)}[/tex]

                     [tex]=\frac{\sqrt[3]{4x}}{2x+3}[/tex]

This function is defined for the denominator is not equal to zero.

(2x + 3) ≠ 0

x ≠ [tex]-\frac{3}{2}[/tex]

Therefore, Option D will be the correct option.

Answer:

About 39,402.

Step-by-step explanation:

You need to find the 46% of black cars.

Answer:

50% or 3/6 (1/2).

Step-by-step explanation:

Answer:

C: x=-10

Step-by-step explanation:

Alternate interior angles are congruent to each other meaning that x+80=70 making x equal to -10. I hope this helped and this is one of my favorite units so post more these questions :)

Answer:

Your measurements; Area = 216.108 cm²

Another student's measurements; Area = 216.9404 cm²

- Difference in area could be as a result of human error or perhaps that they made use of different measuring tools.

Step-by-step explanation:

For Your measurements;

Length of rectangle = 20.70 cm

Width of rectangle = 10.44 cm

Area of rectangle is given by; A = length × width = 20.7 × 10.44 = 216.108 cm²

For Another student's measurements;

Length of rectangle = 20.74 cm

Width of rectangle = 10.46 cm

Area = 20.74 × 10.46

Area = 216.9404 cm²

The areas they both obtained are not of equal values and this could be as a result of human error or perhaps that they used different measuring tools.

Given:

The given sets are:

[tex]U=\{x|x\in N\text{ and }x<10\}[/tex]

[tex]A=\{x|x\text{ is an odd natural number and }x<10\}[/tex]

[tex]B=\{x|x\text{ is an even natural number and }x<10\}[/tex]

[tex]C=\{x|x\in N\text{ and }3<x<5\}[/tex]

To find

The set [tex]B\cap U[/tex].

Solution:

We have,

[tex]U=\{x|x\in N\text{ and }x<10\}[/tex]

[tex]U=\{1,2,3,4,5,6,7,8,9\}[/tex]

[tex]B=\{x|x\text{ is an even natural number and }x<10\}[/tex]

[tex]B=\{2,4,6,8\}[/tex]

Now, [tex]B\cap U[/tex] is the set that contains all the common elements of both sets B and U.

[tex]B\cap U=\{2,4,6,8\}[/tex]

[tex]B\cap U=B[/tex]

Therefore, the correct option is A.

Answer:

D. P(X=3)+P(X=4)+P(X=5)+ ...

Step-by-step explanation:

Given

[tex]n =60[/tex]

[tex]pr = 70\%[/tex] -- proportion of adults with pet

Required

Represent at least 3 adult with pet as a probability

At least 3 means 3 or more than.

So, the probability is represented as:

[tex]P(x \ge 3) = P(3) + P(4) + P(5) + ........[/tex]

Hence;

(d) is correct

Circle 1 has center at (0, 0)

The tangent passes through the center and point (1, -2).

Equation of tangent at (1, -2):

If the same line is tangent to circle 2 then they have one common point.

Solve the system:

Substitute x:

We see only one point of contact, (3, -1), this proves the line is tangent to circle 2 as well.

Given circle:

Rewrite the equation of the circle as:

The center is (7/6, 1) the radius is √229/36

The length of the tangent t is the leg of the right triangle with another leg r being the radius and the hypotenuse d being the distance between the center and the external point:

9514 1404 393

Answer:

  64.6

Step-by-step explanation:

One standard deviation is 4.3. Then +2 standard deviations is ...

  (+2)(4.3) = +8.6

This amount added to the mean gives ...

  56 +8.6 = 64.6 . . . . +2σ from the mean

Answer:

3/4

Step-by-step explanation:

because it is a linear function it means it has the same slope in every point

so you have to take 2 points and find the slope

I take points (0,1) and (4,4)

m = (y2-y1) / (x2-x1)

note that it does not matter which points you chose to be second or first

m = (4-1) / (4-0) = 3/4

you can solve it from the graph too 3/4 is y/x it means for every 4 unit right move 3 units up

Answer:

(4x+9)-(16x+9) = 4x+9-16x-9

= -12x

Answer:

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

2400 ways

Step-by-step explanation:

Combination has to do with the idea of selection. Here we need to select a president, a secretary, and a treasurer.

This means to select three out of twenty five persons.

From;

nCr = n! / ((n – r)! r!)

n = the number of items.

r = how many items are taken at a time.

Thus we have;

25C3 = 25!/(25 - 3)! 3!

=

1.6× 10^25/1.1×10^21 × 6

= 2400 ways

Answer:

the answer is 84.... .....

Answer: b) f(m)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Street name has nothing to do with numerical values, therefore it cannot be quantitative. If we take the two qualitative answers left, one of them says something about numbers, so it cannot be that one. C is the only one left over after process of elimination.

Answer:

That's the answer I searched for and I hope it can help.

#Carryonlearning

Please make me brainliest!

Answer:

10 / 12

simplified:

5/6

since 5 is a prime number, we can't simplify this ratio any further

Answer:

triangle piece of glass that different colors of light travel through

Answer:

-3 1/2 or -3.5

Step-by-step explanation:

* means multiply

just put 3 where the x is

so

f(x) = -2 ( 1 - 1/4 x )

f( -3) = -2 ( 1 - 1/4 * -3 )

f( -3) = -2 ( 1 3/4 )

f( -3) = - 3 1/2

Answer:

Mathematical induction is a method of mathematical proof typically used to establish that a given statement is true for all natural numbers ( non-negitive integers). The simplest and most common form of mathematical induction proves that a statement involving a natural number that holds for all values.

Answer:

MBI, MBV, ABV, ABI, MPI, MPV, APV, API

Answer:

hey, there is no attached photo. so I don't know how to help

Answer:

The first one

(I can't see it too properly but if the dot on -10 has a hole in it then this is the answer)

Answer:

The mean of the sampling distribution for the sample proportion when taking samples of size 500 from this population is equal to 0.248.

Step-by-step explanation:

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.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Of the 500 people sampled, 124 said that they would be interested in purchasing season tickets to a Six Flags in Ames.

This means that [tex]p = \frac{124}{500} = 0.248[/tex]

The mean of the sampling distribution for the sample proportion when taking samples of size 500 from this population is equal to

By the Central Limit Theorem, it is equal to the sample proportion of 0.248.

Answer:

1/25, 1, 625

Step-by-step explanation:

The value of the function at f(–1), f(0), and f(2) will be 1/25, 1, 625 thus option (d) is correct.

A certain kind of relationship called a function binds inputs to essentially one output.

In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.

As per the given function,

f(x) = [tex]5^{2x}[/tex]

Put x = -1

f(-1) = 5⁻² = 1/5² = 1/625

Put x = 0

f(0) = 5⁰ = 1

Put x = 2

f(2) = 5²ˣ² = 5⁴ = 625

Hence "The function's value at f(-1), f(0), and f(2) is 1/25, 1, 625".

For more about the function,

brainly.com/question/23712366

#SPJ2