What is 8.05 × 10-5 in standard notation?

Answer:

[tex]\displaystyle x=\left\{\frac{\pi}{4}, \frac{5\pi}{4}\right\}[/tex]

Step-by-step explanation:

We want to solve the equation:

[tex]\cos(x)\tan(x)=\cos(x)[/tex]

On the interval [0, 2π).

First, we can subtract cos(x) from both sides:

[tex]\cos(x)\tan(x)-\cos(x)=0[/tex]

Factor:

[tex]\cos(x)\left(\tan(x)-1\right)=0[/tex]

Zero Product Property:

[tex]\cos(x)=0\text{ or } \tan(x)-1=0[/tex]

Solve for each case:

[tex]\cos(x)=0\text{ or }\tan(x)=1[/tex]

Using the unit circle:

[tex]\displaystyle x=\left\{\frac{\pi}{4}, \frac{\pi}{2}, \frac{5\pi}{4}, \frac{3\pi}{2}\right\}[/tex]

However, since tangent isn't defined for π/2 and 3π/2, we remove them from our solutions. Hence:

[tex]\displaystyle x=\left\{\frac{\pi}{4}, \frac{5\pi}{4}\right\}[/tex]

Answer:

y = –5x + 5

Step-by-step explanation:

Answer: A’ (1, 3)

Step-by-step explanation:

Reflecting in the y-axis will only reverse the x values

Answer:

[tex](x - 5)^{2} =17[/tex]

Step-by-step explanation:

[tex]x^{2} -10x = -8 \ add \ and \ subtract \ 25;\\x^2-10x+25-25= -8\\(x-5)^2 - 25 = -8\\(x-5)^2 = 17\\x-5=+\ \sqrt{17} \\\x_{1,} _{2} =5+\sqrt{17}[/tex]

Answer:

b, c , a

Step-by-step explanation:

I am guessing

Answer:

B, C, D

Step-by-step explanation:

Step-by-step explanation:

The graph of a quadratic equation in two variables (y = ax^2 + bx + c ) is called a parabola. The following graphs are two typical parabolas their x-intercepts are marked by red dots, their y-intercepts are marked by a pink dot, and the vertex of each parabola is marked by a green dot: (Given in attachment for diagram)

We say that the first parabola opens upwards (is a U shape) and the second parabola opens downwards (is an upside down U shape). In order to graph a parabola we need to find its intercepts, vertex, and which way it opens.

Given y = ax^2 + bx + c , we have to go through the following steps to find the points and shape of any parabola:

Label a, b, and c.

Decide the direction of the paraola:

If a > 0 (positive) then the parabola opens upward.

If a < 0 (negative) then the parabola opens downward.

Find the x-intercepts:

Notice that the x-intercepts of any graph are points on the x-axis and therefore have y-coordinate 0. We can find these points by plugging 0 in for y and solving the resulting quadratic equation (0 = ax^2 + bx + c). If the equation factors we can find the points easily, but we may have to use the quadratic formula in some cases. If the solutions are imaginary, that means that the parabola has no x-intercepts (is strictly above or below the x-axis and never crosses it). If the solutions are real, but irrational (radicals) then we need to approximate their values and plot them.

Find the y-intercept:

The y-intercept of any graph is a point on the y-axis and therefore has x-coordinate 0. We can use this fact to find the y-intercepts by simply plugging 0 for x in the original equation and simplifying. Notice that if we plug in 0 for x we get: y = a(0)2 + b(0) + c or y = c. So the y-intercept of any parabola is always at (0,c).

Find the vertex (h,k):

To find the x-coordinate for the vertex we use the following formula:

To find the y-coordinate for the vertex we plug in h in the original equation:

k = a(h)2 + b(h) + c

Plot the points and graph the parabola  

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Answer:

Greatest would be Chlorine Krypton Argon Fluorine and least Hydrogen

Answer:

J, I, G, K, H.

Step-by-step explanation:

The elements go from least to greatest, and since they are negatives, we sort them from the highest negative to the lowest negative.

Answer: 5+81.65≈85  

How to: Estimate.

Have a great day and stay safe !

Answer:

Is the answer to the :

1st is 9

2nd is 17

3rd is 20

4th is 5

5th is 6

If it helps you....then please mark brainliest

Step-by-step explanation:

Answer:

35-P=25

Step-by-step explanation:

P= Number of players he cut

The ordered pairs in each set are:

A ✕ B = {(-4, 4), (-4, 7), (4, 4), (4, 7), (7, 4), (7, 7), (9, 4), (9, 7)}

R = {(-4, 4), (4, 4), (7, 7), (9, 9)}

S = {(-4, 4), (-4, 7), (4, 4), (4, 7), (7, 7), (7, 4), (9, 9), (9, 7)}

R ∪ S = {(-4, 4), (-4, 7), (4, 4), (4, 7), (7, 7), (7, 4), (9, 9), (9, 7)}

R ∩ S = {(-4, 4), (4, 4), (7, 7), (9, 9)}

We have,

A ✕ B:

The concept of Cartesian product was used to generate all possible ordered pairs by pairing each element from set A with each element from set B.

R:

The concept of the absolute value was used to determine the condition for an ordered pair (x, y) to be in relation R, which is that the absolute value of x is equal to the absolute value of y.

S:

The concept of even numbers was used to determine the condition for an ordered pair (x, y) to be in relation S, which is that the difference between x and y is an even number.

R ∪ S:

The concept of a union was used to combine the ordered pairs that are in either relation R or relation S.

R ∩ S:

The concept of intersection was used to find the ordered pairs that are common to both relation R and relation S.

Thus,

The ordered pairs in each set are:

A ✕ B = {(-4, 4), (-4, 7), (4, 4), (4, 7), (7, 4), (7, 7), (9, 4), (9, 7)}

R = {(-4, 4), (4, 4), (7, 7), (9, 9)}

S = {(-4, 4), (-4, 7), (4, 4), (4, 7), (7, 7), (7, 4), (9, 9), (9, 7)}

R ∪ S = {(-4, 4), (-4, 7), (4, 4), (4, 7), (7, 7), (7, 4), (9, 9), (9, 7)}

R ∩ S = {(-4, 4), (4, 4), (7, 7), (9, 9)}

Learn more about sets here:

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Answer:

[tex]\rm\implies y = 4x + 3 [/tex]

Step-by-step explanation:

Given :-

And we need to find the equation of the line. On looking at the graph we see that , it cuts y axis at (0,3) .So the y Intercept of the equation is 3 .

Slope Intercept Form :-

[tex]\rm\implies y = mx + c[/tex]

Substituting the respective values :-

[tex]\rm\implies y = 4*x + 3 \\\\\rm\implies y = 4x + 3 [/tex]

Hence the equation of line is y = 4x + 3

Answer:

16units is the correct answer

Answer:

Solution given'

<2+90+49=180°[sum of interior angle of a triangle]

<2=180-139

<2=41°

Answer: A/ first answer

Step-by-step explanation: it is that beacause it is paired to y=tanx  

Answer:

The answer would be C. 31

Step-by-step explanation:

Answer:

Hello There!!

Step-by-step explanation:

15 Girls like fantasy books and 16 boys like fantasy books so in total the students that like fantasy books are 31.

hope this helps,have a great day!!

~Pinky~

Answer:

eeeerrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrm i have no idea

Step-by-step explanation:

#1

Solving for x only

[tex]\\ \sf\Rrightarrow x+90+55=180[/tex](Linear pair

[tex]\\ \sf\Rrightarrow x+145=180[/tex]

[tex]\\ \sf\Rrightarrow x=35°[/tex]

#2

[tex]\\ \sf\Rrightarrow x+32=90[/tex]

[tex]\\ \sf\Rrightarrow x=90-32=58°[/tex]

And

[tex]\\ \sf\Rrightarrow y+x=90°[/tex]

[tex]\\ \sf\Rrightarrow y=90-58=32°[/tex]

Problem 1

Operation = Subtraction

Estimated answer = 8 dollars

----------------------------

Explanation:

The regular price is estimated at $45, while the sale price is estimated at $37. The two subtract to get 45-37 = 8 dollars, which is about how much you save if you go for the discount price.

The actual amount saved is 45.32-36.50 = 8.82

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

Problem 2

Operation = Division

Estimated answer = 75 cents

----------------------------

Explanation:

$3.45 rounds to $3

Divide this over 4 to get 3/4 = 0.75, meaning each battery is 75 cents

The actual cost per battery is 3.45/4 = 0.86 dollars = 86 cents.

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

Problem 3

Operation = Division

Estimated answer = $10

----------------------------

Explanation:

Round $37.45 to the nearest ten to get $40; we could round to 37 but that's an oddball number in my opinion compared to 40. Plus 40 is divisible by 4, leading to 40/4 = 10. Each person chips in about 10 dollars.

The actual amount each person pays is 37.45/4 = 9.36

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

Problem 4

Operation = Multiplication

Estimated answer = 180 miles

----------------------------

Explanation:

18.75 rounds to 20, which we multiply by 9 to get 180

So the car can travel about 180 miles on 9 gallons. This is an overestimate because 18.75 rounded up to 20

The actual value is 18.75*9 = 168.75

Using proportions, it is found that the number of stones in the bucket is of 36.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, there are 18 seashells, and the ratio means that for each seashell, there are 2 stones, hence:

S = 18 x 2 = 36.

The number of stones in the bucket is of 36.

More can be learned about proportions at https://brainly.com/question/24372153

heres the answer :) uhh i need 20 wrds so uhhhhhskcljadj

[tex]\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}[/tex]

2

1+3

1+32+2

Answer:

1+3=4

2+2=4

there are only 2 possible ways in which the sum will add up to 4

therefore the answer is 2

Answer:

$-69.94

Step-by-step explanation:

Amount left after the withdrawal to fix the furnace = $400.56 - $450.50 = $-49.94

He has a negative balance for 4 days. this would attract a 5 dollar fee per day. the total fee would be $20 ( 5 x 4)

Total amount left in his account = $-49.94 - $20

Answer:

Ayeeeeeeeeeeeeee

Step-by-step explanation:

Thanks a lot! Have a good day!

Answer:

Thanks

Step-by-step explanation:

Answer:

m<3=84

m<4=96

Step-by-step explanation:

180-43-41=96

180-96=84

The measure of ∠3 is 96° and measure of ∠4 is 64°.

What is Triangle?

A triangle is a three sided polygon , which has three vertices and three angles with sum 180 degree.

Given that;

In triangle,

Measure of first angle (m ∠1 ) = 43°

Measure of second angle (m ∠2) = 41°

Let measure of ∠4 = x degree

Now, Sum of all angles in a triangle be 180 degree.

So, We can formulate;

m∠1 + m∠2 + m∠3 = 180°

43° + 41° + x = 180°

84° + x = 180°

x = 180° - 84°

x = 96°

So, measure of ∠3 = 96°

Since, The measure of ∠3 and measure of ∠4 are supplementary angles.

Hence, We get;

m ∠3 + m ∠4 = 180°

96° + m ∠4 = 180°

m ∠4 = 180° - 96°

m ∠4 = 64°

Thus, The measure of ∠3 is 96° and measure of ∠4 is 64°.

Learn more about the supplementary angle visit:

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Answer:

5.5

Step-by-step explanation:

We have a list of 10 numbers (n = 10) ordered from lower to higher.

1 2 3 4 5 6 7 8 9 10

The median is the value separating the higher half from the lower half of a data sample. Since n is even, there is no middle value and the median is defined as the mean between the two middle values, in this case, 5 and 6. Then,

median = 5 + 6 / 2 = 5.5