Can someone please help me?

Answer:

[tex]x = \pi \div 4 [/tex]

9514 1404 393

Answer:

  103 square units

Step-by-step explanation:

There is a way to find the area by counting grid points, but the fairly large number of them suggests that could be both tedious and prone to error. Instead, we'll chop up the figure into a trapezoid and two triangles.

From the top corner of the right edge draw a horizontal line across the figure. This will make the bottom portion a trapezoid and the top portion two triangles. The length of that horizontal line is 13 units, the height of the trapezoid, and the sum of the triangle bases.

The bottom trapezoid has a left-side base of 7 units and a right-side base of 6 units. Its area is ...

  A = 1/2(b1 +b2)h

  A = 1/2(7 +6)(13) = 1/2(13)(13) = 169/2 = 84.5 . . . square units.

The right top triangle has a base of 11 and a height of 3, so its area is ...

  A = 1/2bh

  A = 1/2(11)(3) = 33/2 = 16.5 . . . square units

The left top triangle has a base and height of 2 units each, so its area is ...

  A = 1/2(2)(2) = 2 . . . square units

Then the total area of the figure is ...

  84.5 +16.5 +2 = 103 . . . square units

_____

Check

Here is the check by counting grid points. The number of grid points on the outline of the figure is i=22. The number of grid points inside the figure appears to be b=93. Then the area by Pick's theorem is ...

  b +i/2 -1 = 93 + 22/2 -1 = 103 . . . square units

The answer is in the picture. To be honest, I am not 100% sure about it.

9514 1404 393

Answer:

  -9

Step-by-step explanation:

You are given a point and a slope, so you can write the equation of the line in point-slope form:

  y -k = m(x -h) . . . . . line of slope m through point (h, k)

  y -7 = 4(x +5) . . . . using the given point

Putting in the x- and y-values of the other point, we have ...

  -9 -7 = 4(w +5)

  -4 = w +5 . . . . . . . . . divide by 4

  -9 = w . . . . . . . . . . subtract 5

The value of w is -9.

c. 5/12

Step-by-step explanation:

tan= opposite/adjacent

[tex]{\huge{\underline{\bf{\pink{Hello \: mate \: (◕ᴗ◕✿)}}}}} \\ \\ = > \mathcal\blue{tan \beta = perpendicular \: \div base\: } \\ \\ \mathcal\blue{=>perpendicular = 5 \: } \\ \\\blue{=>Base = 12 \: } \\ \\ \\ \huge\mathfrak\red{=>tan \beta = 5 /12\: } \\ \\ {\huge{\boxed{\sf{\green{✓✓venom✓✓}}}}}[/tex]

Answer:

Bottom left corner and bottom right corner

Step-by-step explanation:

the orange one and the blue one on the bottom

Answer:

15014.57

Step-by-step explanation:

effective rate: .05/12= .004166667

[tex]450*\frac{1-(1+.004166667)^{-36}}{.004166667}=15014.5655[/tex]

Step-by-step explanation:

15014.57

Step-by-step explanation:

effective rate: .05/12= .004166667

450*\frac{1-(1+.004166667)^{-36}}{.004166667}=15014.5655450∗

.004166667

1−(1+.004166667)

−36

=15014.5655

Answer:

m<1 = ½(b - d)

Step-by-step explanation:

Recall: when two secants intersect to form an exterior angle outside a circle, the measure of the exterior angle equals half of the difference of the major and minor arcs intersected.

Thus, in the problem given,

m<1 is the exterior angle

b and d are the arcs intersected.

Therefore,

m<1 = ½(b - d)

The equation that is correct regarding the measure of <1 is; m<1 = ½(b - d)

According to the secant theorem, it states that when two secants intersect to form an exterior angle outside a circle, then the measure of the exterior angle will be equal to half of the difference of the major and minor arcs intersected.

In the given question, we can see that;

The exterior angle = m<1

The arcs intersected are b and d

Thus, from applying the secant theorem, we can express that;

m<1 = ½(b - d)

Read more about the secant theorem at; https://brainly.com/question/26340897

Answer:

The answer is "300".

Step-by-step explanation:

Please find the complete solution in the attached file.

Answer:300

Step-by-step explanation:

Answer:

20%decrease? id.k if its decrease or increase but its 20%

Step-by-step explanation:

Answer:

that there is no significant evidence that there is an increase in mean number of arrivals per hour

Step-by-step explanation:

The hypothesis :

H0 : μ = 195

H1 : μ > 195

We obtain the test statistic :

(xbar - μ) ÷ (σ/√(n))

xbar = 200 ; n = 30 ; σ = 16

Test statistic :

(200 - 195) ÷ (16/√(30))

5 ÷ 2.9211869

= 1.712

Using the Pvalue calculator :

Pvalue from Test statistic = 0.043

At α = 0.025

Pvalue > α ; we fail to reject the Null and conclude that there is no significant evidence that there is an increase in mean number of arrivals per hour.

Answer:

[tex] D)\displaystyle \rm \frac{ \sqrt{3} }{12} cis \left( \frac{19\pi}{15} \right)[/tex]

Step-by-step explanation:

remember that

[tex] \displaystyle a \rm cis( \theta) \times b cis( \theta _{2}) = ab \cdot cis( \theta + \theta _{2})[/tex]

so we acquire:

[tex] \displaystyle \frac{ \sqrt{2} }{6} \rm cis \left( \frac{3\pi}{5} \right) \times \frac{ \sqrt{6} }{4} cis \left( \frac{2\pi}{3} \right) = \frac{ \sqrt{2} }{6} \times \frac{ \sqrt{6} }{4} \cdot cis \left( \frac{3\pi}{5} + \frac{2\pi}{3} \right)[/tex]

simplify the left hand side

[tex] \displaystyle \rm \frac{ \sqrt{12} }{24} \cdot cis \left( \frac{3\pi}{5} + \frac{2\pi}{3} \right)[/tex]

[tex] \displaystyle \rm \frac{2 \sqrt{3} }{24} \cdot cis \left( \frac{3\pi}{5} + \frac{2\pi}{3} \right)[/tex]

reduce fraction:

[tex] \displaystyle \rm \frac{ \sqrt{3} }{12} \cdot cis \left( \frac{3\pi}{5} + \frac{2\pi}{3} \right)[/tex]

simplify addition:

[tex] \displaystyle \rm \frac{ \sqrt{3} }{12} cis \left( \frac{19\pi}{15} \right)[/tex]

hence our answer is D

Answer:

-3(6/8+9/8)+4 2/5

Step-by-step explanation:

You convert decimal, you find common denominator, calculate sum of distance, rewrite, write as fraction, it is long tiresome process.

Answer:

12 units²

Step-by-step explanation:

A(triangle) = 1/2(2)(2) = 2 units²

A(triangle) = 1/2(2)(6) = 6 units²

A(Square) = 2(2) = 4 units²

A(Shape) = 2 + 6 + 4 = 12 units²

Answer:

[tex]\displaystyle \int\limits^0_\infty {cos(x)} \, dx = sin(\infty)[/tex]

General Formulas and Concepts:

Pre-Calculus

Calculus

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \int\limits^0_\infty {cos(x)} \, dx[/tex]

Step 2: Integrate

Since we are dealing with infinity of functions, we can do a numerous amount of things:

∴  [tex]\displaystyle \int\limits^0_\infty {cos(x)} \, dx = sin(\infty) \ or \ \text{unde}\text{fined}[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Improper Integrals

Book: College Calculus 10e

Answer:

Step-by-step explanation:

A.-5+(n-1)*2 and n belong to 1 to ponitive infinity

Answer:

X = -6 - 3y

Y = -1

Step-by-step explanation: Solve for X first using basic algebra. Plug in X vaalue to original equation and solve. -6 - 3y + 3y = -6. Solve by adding 6 to both sides of the equation and dividing -3y by 3y.

Answer:48.013

Step-by-step explanation: just found it

Answer:

54degrees

Step-by-step explanation:

From the given diagram;

2<P + 136 + 74 + 42  = 360 (sum of angle at a point is 360degrees)

2<P +252 = 360

2<P = 360 - 252

2<P = 108

<P = 108/2

<P = 54

Hence the measure of <P is 54degrees

Answer:

34 gallons

Step-by-step explanation:

Water in tank = starting amount - rate * time

water in tank   = 50 - 2 * time

Let the time = 8 minutes

water in tank   = 50 - 2 * 8

                        = 50 - 16

                        = 34

Answer:

34 gallons still remain after 8 minutes.

Step-by-step explanation:

Variable x = gallons of water after 8 mins

2 gallons = 1 min

x gallons = 8 mins

Set up an equation:

2/1 = x/8

Cross multiply:

2 × 8 = 1 × x

16 = x

16 gallons of water are drained after 8 minutes.

Find the difference:

50 - 16 = 34

34 gallons still remain after 8 minutes.

Answer:

The 95% confidence of interval to estimate the difference in the proportion of the residents in these regions who support the construction is (-0.0849, 0.0013).

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.

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]

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

North:

274 out of 1000. So

[tex]p_N = \frac{274}{1000} = 0.274, s_N = \sqrt{\frac{0.274*0.726}{1000}} = 0.0141[/tex]

South

240 out of 760. So

[tex]p_S = \frac{240}{760} = 0.3158, s_S = \sqrt{\frac{0.3158*0.6842}{760}} = 0.0169[/tex]

Distribution of the difference:

[tex]p = p_N - p_S = 0.274 - 0.3158 = -0.0418[/tex]

[tex]s = \sqrt{s_N^2+s_S^2} = \sqrt{0.0141^2+0.0169^2} = 0.022[/tex]

Confidence interval:

The confidence interval is:

[tex]p \pm zs[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

Lower bound:

[tex]p - zs = -0.0418 - 1.96*0.022 = -0.0849[/tex]

Upper bound:

[tex]p + zs = -0.0418 + 1.96*0.022 = 0.0013[/tex]

The 95% confidence of interval to estimate the difference in the proportion of the residents in these regions who support the construction is (-0.0849, 0.0013).

Given the proportion and number of residents in the North and South of

0.274, 1000, and approximately 0.316, 760, we have;

The given parameter presented in a tabular form are;

[tex]\begin{array}{|c|c|c|}Support \ Constructtion&North&South\\Yes&274&240\\No&726&520\\Total & 1000& 760\end{array}\right][/tex]

Which gives;

Proportion of the North resident that support, [tex]\mathbf{\hat p_N}[/tex] = 274 ÷ 1000 = 0.274

The number of people sampled in the north, n₁ = 1,000

Proportion of the South resident that support, [tex]\mathbf{\hat p_S}[/tex] = 240 ÷ 760 ≈ 0.316

The number of people sampled in the south, n₂ = 760

The confidence interval for the difference of two proportions are given

as follows;

[tex]\hat{p}_N-\hat{p}_S\pm \mathbf{ z^{*}\sqrt{\dfrac{\hat{p}_N \cdot \left (1-\hat{p}_N \right )}{n_{1}}+\dfrac{\hat{p}_S \cdot \left (1-\hat{p}_S \right )}{n_{2}}}}[/tex]

Where;

The z-score at 95% confidence level is 1.96

Which gives;

[tex]C.I. = \left(0.274-0.316 \right)\pm 1.96 \times \sqrt{\dfrac{0.274 \times \left (1-0.274 \right )}{1000}+\dfrac{0.316 \times \left (1-0.316 \right )}{760}}[/tex]

C.I. ≈ (-0.085, 0.00109)

The 95% confidence interval, C. I. of the difference in the proportion of

the residents in the regions who support the construction, [tex]\hat p_N[/tex] -  [tex]\hat p_S[/tex] is

therefore;

Learn more calculating the confidence interval here:

https://brainly.com/question/15308274

9514 1404 393

Answer:

  A)  B. 18-6

  B)  20÷4

  C)  20

Step-by-step explanation:

Part A

The order of operations tells you that the first step is to evaluate any expressions in parentheses. Here, that means you first evaluate (18 -6).

__

Part B

After parentheses have been removed, the next step is to perform multiplication and division. Here, there is only one term involving division, so you divide 20 by 4 as your second step.

__

Part C

After you have done parts A and B, your expression is ...

  3 + 12 + 5

The value of this sum is 20.

The value of x will be 2.067.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ eˣ = 7.9

Now,

Since, The expression is,

⇒ eˣ = 7.9

Take natural log both side, we get;

⇒ ln eˣ = ln 7.9

⇒ x = ln 79 - ln 10

⇒ x = 4.369 - 2.302

⇒ x = 2.067

Thus, The value of x = 2.067

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

Geometry

P=2l+2s

Plugin both numbers.

P=24+38

P=62

Answer:

b=-18

Step-by-step explanation:

If a line that passes through the point [tex]P(x_o,y_o)[/tex]and it has slope [tex]m[/tex], the equation of the line is:

[tex]y-y_o=m(x-x_o)~=>y=mx+y_o-mx_o~=>b=y_o-mx_o\\\\b=-6-4(3)=-18[/tex]

Answer:

-18

Step-by-step explanation:

Step-by-step explanation:

everything can be found in the picture

Answer:

h = [tex]\frac{K^2}{17}[/tex]

Step-by-step explanation:

Given

K = [tex]\sqrt{17h}[/tex] ( square both sides )

K² = 17h ( divide both sides by 17 )

[tex]\frac{K^2}{17}[/tex] = h