Pls help me I’m struggling

Answer:

0.

Step-by-step explanation:

I am assuming you want to evaluate

(sin10+cos10)²(1-sin20)-cos²20

That evaluates to 0.

Answer:

Step-by-step explanation:

Soh Cah Toa

S stand for sine, C stand for Cosine and the T stand for Tangent

'o' is the opposite, 'a' stand for adjacent (next to) and h stand for hypotenuse (the longest length of the triangle)

\(sin(\theta)=\frac{opposite}{hypotenuse}\)

\(cos(\theta)=\frac{adjacent}{hypotenuse}\)

\(tan(\theta)=\frac{opposite}{adjacent}\)

We care about angle A and we want sine. So we will use the first equation.

The opposite from A is 3 and the hypotenuse is 5.

\(sin(A)=\frac{3}{5}\)

The features related to vectors are listed below:

Case A: u' = (- 4√41 / 41, - 5√41/ 41)

Case B: Tip coordinantes of vector v: (x, y) = (10, 10)

Case C: r = 11.402

In this question we must determine three features related to vectors: (a) unit vector, (b) the definition of a vector based on the coordinates of its base and its tip, (c) The magnitude of a resulting vector.

Case A - Unit vector

Unit vectors are vectors with magnitude 1, for the case of vector u we have the following definition:

u' = u / ||u||

Where:

Please notice that the magnitude of the vector is determined by Pythagorean theorem:

r = √[(Δx)² + (Δy)²]

Where:

Thus, the unit vector of u is:

u' = (- 4, - 5) / √[(- 4)² + (- 5)²]

u' = (- 4, - 5) / √41

u' = (- 4 / √41, - 5 / √41)

u' = (- 4√41 / 41, - 5√41/ 41)

Case B - Definition of a vector

This can be found easily by vector subtraction:

v = Tip coordinates - Base coordinates

(3, 4) = (x, y) - (7, 6)

(x, y) = (3, 4) + (7, 6)

(x, y) = (10, 10)

Case C - Magnitude of a vector

The magnitude is found by means of Pyhtagorean theorem:

r = √[(- 4 - 3)² + (- 5 - 4)²]

r = √[(- 7)² + (- 9)²]

r = 11.402

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Answer:

I think the answer is A

Step-by-step explanation:

If you use the diameter of the circle when drawing you will not get more than one interesection with the circle which will be in the opposite side, repeating this step will just repeat the same circles. But if you use the radius of the circle \(r = AB\) you will get something like the picture attached, bear in mind it's not exact but it helps picture the steps being followed.

The best way to solve this is by experimenting with the compass and following the steps to see the outcome.

The given function y = 4(3/8)^x represents exponential decay.

As x increases, the value of y decreases at an increasingly rapid rate, reflecting the decay behavior of the function.

The given function is y = 4(3/8)^x. To determine if the function represents growth, decay, or neither, we need to examine the base of the exponent, which is (3/8).

When the base of an exponential function is between 0 and 1, such as (3/8) in this case, it represents exponential decay. This is because as the exponent (x) increases, the value of the function decreases.

In the given function, the coefficient 4 multiplied by the decaying exponential term (3/8)^x indicates that the function starts with an initial value of 4 and then exponentially decreases. The term (3/8)^x represents the decay factor, where x determines the extent of decay.

Therefore, we can conclude that the given function, y = 4(3/8)^x, represents exponential decay. As x increases, the value of y decreases at an increasingly rapid rate, reflecting the decay behavior of the function.

In summary, the given function y = 4(3/8)^x represents exponential decay.

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Answer:

F will be +5

Step-by-step explanation:

Answer: \(72z^{2} +55z-7\)

Step-by-step explanation:

We multiply each component with each other:

8z * 9z = 72z^2

8z * -1 = -8z

9z * 7 = 63z

7 * -1 = -7

We then add it all together, 63z + -8z = 55z and get

\(72z^{2} +55z-7\)

Answer: D

Step-by-step explanation:

The answer is D, as seen on the graph, the Y-Intercept is at Y = 4, and the gradient is 1, so according to the equation y = mx + c,

"m" must equal 1, and "c" must equal 4, so the equation needs to be:

y = x + 4.

In Option D, the equation can be rearranged to 2y = 2x + 8, dividing both the LHS and RHS by 2, we get y = x + 4.

This type of question can be tough at first, however it's just a matter of practice, keep practicing, keep working hard, and you'll be an expert in no time!

Answer:

x = 7

Step-by-step explanation:

56 + 21 = 77 divided by 11 = 7

May i please get the brainiest

The area of triangle EFG is given as follows:

A = 18.63 square units.

The area of a rectangle of base b and height h is given by half the multiplication of dimensions, according to the formula presented as follows:

A = 0.5bh

The base is given by segment EF as follows:

\(EF = \sqrt{(9 - 4)^2 + (-7 -(-9))^2}\)

EF = 5.4.

The midpoint of EF is given as follows:

M(6.5, -8).

The height is given by the segment MG as follows:

\(MG = \sqrt{(6.5 - 3)^2 + (-2 - (-8))^2}\)

MG = 6.9.

Hence the area is given as follows:

A = 0.5bh

A = 0.5 x 5.4 x 6.9

A = 18.63 square units.

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The correct answer is: p(x) = 2(x - 3)² - 1  is the equation of p(x) in vertex form.

In mathematics, a functiοn is a relatiοnship between twο sets οf elements, called the dοmain and the range, such that each element in the dοmain is assοciated with a unique element in the range.

Tο find the equatiοn οf the quadratic functiοn in vertex fοrm, we need tο cοmplete the square.

First, we need to find the x-coordinate of the vertex. We can do this by using the formula:

x = -b/2a

where a, b, and c are the coefficients of the quadratic function ax² + bx + c.

In this case, we can use the values of p(-1), p(0), and p(1) to find a and b:

p(-1) = 31 = a(-1)² + b(-1) + c

p(0) = 17 = a(0)² + b(0) + c

p(1) = 7 = a(1)² + b(1) + c

Simplifying these equations, we get:

a - b + c = 31

c = 17

a + b + c = 7

Substituting c = 17 in the first and third equations, we get:

a - b = 14

a + b = -10

Adding these two equations, we get:

2a = 4

So, a = 2.

Substituting a = 2 in the second equation, we get:

b = -12

Now we can find the x-coordinate of the vertex:

x = -b/2a = -(-12)/2(2) = 3

So the vertex is at (3, p(3)).

Next, we need to find the y-coordinate of the vertex. We can do this by evaluating p(3):

p(3) = -1

So the vertex is at (3, -1).

Now we can write the quadratic function in vertex form:

p(x) = a(x - h)² + k

where (h, k) is the vertex. Substituting a = 2, h = 3, and k = -1, we get:

p(x) = 2(x - 3)² - 1

So the equation of p(x) in vertex form is p(x) = 2(x - 3)² - 1.

Therefore, the correct answer is: p(x) = 2(x - 3)² - 1.

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The measure of the minor arc m∡rv = 111°

Recall that according to the principle of angle of intersecting secants, (a-b)/2 = c

Where a = ∡RV
b = ∡SU = 37°:

and c = ∠T (the angle between intersecting secants.

Thus, if (a-b)/2 = c, and b = c = 37 degrees, then we can substitute these values into the equation to get:

(a - 37) / 2 = 37

Multiplying both sides by 2 gives:

a - 37 = 74

Adding 37 to both sides gives:

a = 111

Therefore, a is equal to  m∡rv = 111°.

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Answer:

(a) \(H_o:\mu_1 = \mu_2\)     \(H_a:\mu_1 > \mu_2\)

(b) \(t = 0.74\)

(c) \(p =0.2331\)

(d) \(CI = (-2.095,4.095)\)

Step-by-step explanation:

Given

\(\bar x_1=21,\ s_1=4,\ n_1=12,\\ \bar x_2=20,\ s_2=3,\ n_2=15\)

Solving (a): The hypotheses

The test is right-tailed, means that the alternate hypothesis will contain greater than sign.

So, we have:

\(H_o:\mu_1 = \mu_2\)

\(H_a:\mu_1 > \mu_2\)

Solving (b); The test statistic (t)

This is calculated as:

\(t = \frac{\bar x_1 - \bar x_2}{\sqrt{\frac{s_1^2(n_1 - 1) + s_2^2(n_2 - 1)}{n_1 + n_2 - 2} * (\frac{1}{n_1} + \frac{1}{n_2})}}\)

So, we have:

\(t = \frac{21 - 20}{\sqrt{\frac{4^2(12 - 1) + 3^2(15 - 1)}{12 + 15 - 2} * (\frac{1}{12} + \frac{1}{15})}}\)

\(t = \frac{1}{\sqrt{\frac{302}{25} * (0.15)}}\)

\(t = \frac{1}{\sqrt{12.08 * 0.15}}\)

\(t = \frac{1}{\sqrt{1.812}}\)

\(t = \frac{1}{1.346}\)

\(t = 0.74\)

Solving (c): The P-value

First, we calculate the degrees of freedom

\(df = n_1 + n_2 -2\)

\(df = 12+15 -2\)

\(df = 25\)

Using the t distribution, the p-value is:

\(p =TDIST(0.74,25)\)

\(p =0.2331\)

Solving (d): The 90% confidence interval

Calculate significance level

\(\alpha = 1 - CI\)

\(\alpha = 1 - 90\%\)

\(\alpha = 0.10\)

Calculate the t value (t*)

\(t^* = (\alpha/2,df)\)

\(t^* = (0.10/2,25)\)

\(t^* = (0.05,25)\)

\(t^* = 1.708\)

The confidence interval is calculated using:

\(CI = (\bar x - \bar x_2) \± t^* *\sqrt{\frac{s_1^2(n_1 - 1) + s_2^2(n_2 - 1)}{n_1 + n_2 - 2} * (\frac{1}{n_1} + \frac{1}{n_2})}\)

\(CI = (21 - 20) \± 1.708 *\sqrt{\frac{4^2(12 - 1) + 3^2(15 - 1)}{12 + 15 - 2} * (\frac{1}{12} + \frac{1}{15})}\)

\(CI = 1 \± 1.708 *1.812\)

\(CI = 1 \± 3.095\)

Split

\(CI = 1 - 3.095 \ or\ 1 + 3.095\)

\(CI = -2.095 \ or\ 4.095\)

\(CI = (-2.095,4.095)\)

Answer:

300

Step-by-step explanation:

surface area of prism = p (perimeter)*height + 2* base area

sa = (12+13+5) * 8 + 2* (12*5/2)

    = 30*8 + 2*30

    = 240+60

    = 300

Answer:

I think it is 1594323

Step-by-step explanation:

3^17−3^15+3^13=116385579

and divide that by 73 it equals 1594323

so 1594323 times 73 equals 116385579

i don't know i am not good at this stuff

3¹³(3⁴-3²+1)

3¹³.73

I hope this helps

We will see that the expected value for X given that the first number is a 6, is:

E[X|A] = 9.5

We know that X represents the sum of both values. The first value is already 6, so we have that fixed:

X = 6 + p

Now, remember that all the numbers in the dice have the same probability of rolling up, then the expected value of p is:

E(p) = (1 + 2 + 3 + 4 + 5 + 6)*(1/6) = 3.5

Then the expected value of X, given the event A.

E[X|A] = 6 + p = 6 + 3.5 = 9.5

So the expected value for X is 9.5

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\((\stackrel{x_1}{-2}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{(-2)}}} \implies \cfrac{-2}{5 +2} \implies \cfrac{ -2 }{ 7 }\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{-\cfrac{2}{7}}(x-\stackrel{x_1}{(-2)}) \implies y-4=-\cfrac{2}{7}(x+2) \\\\\\ y-4=-\cfrac{2}{7}x-\cfrac{4}{7}\implies y=-\cfrac{2}{7}x-\cfrac{4}{7}+4\implies y=-\cfrac{2}{7}x+\cfrac{26}{7}\)

The reference angle for the angle with the measure 2x/3 is 54⁰

You should understand that a reference angle is the acute angle to a given angle.

The given angle is 2x/3

We should understand that since the angle has the variable x

= x + 2x/3 = 90⁰

Simplifying the fraction to have

(3x+2x)/3 = 90

Cross and multiply we have 5x=270⁰

Making x the subject

x= 270/5

x=54⁰

Therefore, the reference angle with the measure 2x/3 is = 54⁰

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Answer:

6 · 6 · 6 · 6

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

This is because the 4 is an exponent or a power.

This makes the 6 in this case multiply itself 4 times.

HOPE THIS HELPS

Answer:

4 cups of fruit sorbet.

Step-by-step explanation:

There are 128 cups in 1 gallon. So, 1 gallon of fruit sorbet is equal to 128 cups.

Therefore, each person will receive 128 cups / 32 people = 4 cups of fruit sorbet.

The solution is, each person get 4 cups of fruit sorbet.

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

given that,

Hugo is serving fruit sorbet at his party.

He has 1 gallon of fruit sorbet to serve to 32 friends .

now. we get,

There are 128 cups in 1 gallon.

So, 1 gallon of fruit sorbet is equal to 128 cups.

so, we have,

Therefore, each person will receive 128 cups / 32 people = 4 cups of fruit sorbet.

If each person receives the same amount,

then, each person will receive 4 cups of fruit sorbet.

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Cost of class fees per credit hour:

Westside: $98

Pinewood: $115

Let's say that he is taking w hours at Westside and p hours at Pinewood. We know that Tom is taking a combined total of 12 credit hours at the two schools, then:

The cost at Westside is:

And at Pinewood:

Finally, the total dollar amount he paid for his class fees is:

Answer:

probably 2,5&10 because they are all multiples of 2

Answer:

2

Step-by-step explanation:

The Residual is -8.4 hours and the interpretation of the given residual is that the carnation stayed fresh for 8.4 hours less than expected based on how much sugar it received.

A residual plot is a type of scatter plot where the horizontal axis represents the independent variable, or input variable of the data, and the vertical axis represents the residual values.

Now, looking at the given residual plot and using a calculator online, we can say that the equation of the least squares regression line is;

y^ = 180.8 + 15.2x

Now, for 2 tablespoons of sugar , we have x = 2. Thus;

y^ = 180.8 + 15.2(2)

y^ = 212.4 hours

Residual for 204 hours is;

Residual = 204 - 212.4 = -8.4 hours

Thus, the interpretation of the given residual is that the carnation stayed fresh for 8.4 hours less than expected based on how much sugar it received.

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Complete question is;

Does adding sugar to the water in a vase help flowers stay fresh? To find out, two statistics students went to a flower shop and randomly selected 12 carnations. When they got home, the students prepared 12 identical vases with exactly the same amount of water in each vase. They put one tablespoon of sugarin 3 vases, two tablespoons of sugar in 3 vases, and three tablespoons of sugar in 3 vases.In the remaining 3 vases, they put no sugar. After the vases were prepared, the students randomly assigned 1 carnation to each vase and observed how many hours each flower continued to look fresh.

Calculate and interpret the residual for the flower that had 2 tablespoons of sugar and looked fresh for 204 hours.

The equation is proved.

G\(`tan(x-1)(sin2x-2cos2x)=2(1-2sinxcosx)`\)

We need to prove the given equation. Solution: Using the identity \(`sin2x=2sinxcosx` and `cos2x=1-2sin^2x`\)

in the given equation, we get

\(`tan(x-1)(sin2x-2cos2x)=2(1-2sinxcosx)`⟹ `tan(x-1)(2sinxcosx-2(1-\)

\(2sin^2x))=2(1-2sinxcosx)`⟹ `tan(x-1)(4sin^2x-2)=2-4sinxcosx`⟹ `2sin(x-1)\)

\((2sin^2x-1)=2(1-2sinxcosx)`⟹ `2sin(x-1)(2sin^2x-1)=2(1-2sinxcosx)`⟹\)

\(`2sinxcos(x-1)(4sin^2x-2)=2(1-2sinxcosx)`⟹ `2sinxcos(x-1)(2sin^2x-1)=1-\)

\(sinxcosx`⟹ `2sinxcos(x-1)(2sin^2x-1)=sin^2x+cos^2x-sinxcosx`⟹\)

`\(2sinxcos(x-1)(2sin^2x-1)=(sinx-cosx)^2`⟹ `sinxcos(x-1)(2sin^2x-1)=(sinx-cosx)^2/2`\)

For `LHS`, using identity

\(`sin(90 - x) = cosx`⟹ `sinxcos(x-1)(2sin^2x-1)=(sinx-sin(91-x))^2/2`⟹\)

\(`sinxcos(x-1)(2sin^2x-1)=(-sin(x-1))^2/2`⟹ `sinxcos(x-1)(2sin^2x-1)=sin^2(x-\)

\(1)/2`⟹ `sinxcos(x-1)(4sin^2x-2)=sin^2(x-1)`⟹ `sinxcos(x-1)(2sin^2x-1)=1/2`⟹ `1/2=1/2`.\)

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Answer:

24 millimeters  B) Area of one side= 4*4

=16

Total number of faces= 6

Then total area= area of one side* number of sides

=16*6

=96 square cm

Step-by-step explanation:

Answer:

79 square inches

Step-by-step explanation:

First, let's find the diameter given the circumference.

Next, we know the the radius is half the diameter, so the radius is 5 inches. Now, we can solve the area of the circle.

Therefore, the answer is 79 square inches.