1) Evaluate the integral 3 dx Si 5.52 25 – x2

Solution:

The cost of the Camera is $540

The sales tax is 7.2%

To find the tax charge, the formula is

Substitute into the formula above

Hence, the tax charged is $38.88.

The total cost of the Camera will be

Hence, the total cost of the Camera is $578.88

P = 90 is the solution for the given equation.

Given: Qd=95−4

PQs=5+P

To find Qd if P=5:

Put P = 5 in the equation

Qd=95−4P

Qd = 95 - 4 x 5

Qd = 75

So, Qd = 75.

To find P if Qs = 20:

Put Qs = 20 in the equation

Qs = 5 + PP

= Qs - 5P

= 20 - 5P

= 15

So, P = 15.

To solve Qd=Qs, substitute Qd and Qs with their respective values.

Qd = Qs

95 - 4P = 5 + P

Subtract P from both sides.

95 - 4P - P = 5

Add 4P to both sides.

95 - P = 5

Subtract 95 from both sides.

- P = - 90

Divide both sides by - 1.

P = 90

Thus, P = 90 is the solution for the given equation.

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Answer:

15

Step-by-step explanation:

let's begin by find our variables!

in this case June= x, July = y, and August = z

now that we found our variables let make an equation

x + y + z = 40

we know that x (June)= 12 y (July)= 13 so let's plug that, in place of the variables

12 + 13 + z = 40

Combine like terms

25 + z = 40

Subtract 25 out of 25 and out of 40

25 - 25 + z = 40 - 25

z= 15

now let's plug in all our variable values x = 12; y = 13; z = 15

12 + 13 + 15 = 40 ✓

Answer:

No. 2 is side-side-side

Answer: Choice 4

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

Explanation:

In figure 4, the tickmarks indicate which sides are the same length. The sides that overlap, or share a common side, are also congruent to one another. So we have three pairs of congruent sides for figure 4, and that allows us to use SSS to prove the triangles congruent.

--------

Side notes:

Choice 1 uses ASA

Choice 2 uses ASA

Choice 3 uses SAS

Answer:

  9 cm²

Step-by-step explanation:

Sometimes these inscribed polygon problems respond nicely to a little geometrical thinking. The figure is symmetrical about the vertical line through the center of the square(s).

__

That line of symmetry divides the figure into halves that are twice as tall as wide. That same ratio applies to both the outer square and the inner (blue shaded) square.

In other words, a line from the center of the top segment through either bottom corner of the figure will pass through the corners of both squares. That line will have a slope of ±2, making it easy to find the coordinates of one of the lower corners of the shaded square.

__

Analytically, we can write the equation of the right circle shown in the attachment as ...

  x² +y² = 5²

and the equation of the line as ...

  y = 2x +5

__

Then the x-value of the lower left corner will be found where these intersect.

  x² +(2x +5)² = 25 . . . . . . substitute for y

  x² +4x² +20x +25 25 . . . . eliminate parentheses

  5x² +20x = 0 . . . . . . . . . . . . subtract 25

  5x(x +4) = 0 . . . . . . factor

  x = -4 or 0 . . . . . the x-coordinates of the points of intersection

The y-coordinate of the lower left point is ...

  y = 2(-4) +5 = -3

__

Since the top edge of the blue square has a y-coordinate of 0, this means the square is 3 cm on a side. Its area is ...

  A = s² = (3 cm)² = 9 cm² . . . . area of the blue shaded square

Answer:

Area = l^2

Answer is 225

Answer:

A" (3,3)

B" (3,5)

C" (5,7)

D" (5,1)

Yes they are congruent as they are similar and have the same shape and size.

Step-by-step explanation:

-y,x is the formula for a 90° counter clockwise rotation, And since the shape nor size doesnt change it is congruent.

Answer:

See below.

Step-by-step explanation:

Central angles AOB and DOC are vertical angles, so they are congruent.

m<AOB = 50°

BD is a diameter, so the measure of central angle BOD is 180°.

The measure of an arc of a circle is equal to the measure of the central angle that subtends it.

m<AOB + m<AOE + m<EOD = 180°

50° + m<AOE + 60° = 180°

m<AOE + 110° = 180°

m<AOE = 70°

m(arc)AE = m<AOE = 70°

m(arc)AB = m<AOM = 50°

A full circle has 360 deg of central angle and of arc measure.

m(arc)ECB = 360° - m(arc)AE - m(arc)AB

m(arc)ECB = 360° - 70° - 50°

m(arc)ECB = 240°

Angle BOC is vertical with angle AOD.

m<BOC = m<AOD = m<AOE + m<EOD

m<BOC = 70° + 60°

m<BOC = 130°

The table that shows a relation that represents a function is: table D in the options given.

To determine if a relation is a function, we need to check if each value of x corresponds to a unique value of y.

A. In this relation, x = 3 is paired with two different values of y (-2 and -1) which means this relation is not a function.

B. In this relation, each value of x does not corresponds to only one value of y, so this relation is not a function.

C. In this relation, -3 and 1 are paired with two different values of y (-3 and 1), which means this relation is not a function.

D. In this relation, each value of x corresponds to only one value of y, so this relation is a function.

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By examining the diagonal of the matrix, we can compare the correlations between different constructs measured using the same method to the correlations between the same construct measured using different methods.

The MTMM matrix, or the Multi-Trait Multi-Method matrix, is a popular tool used in psychology and social sciences to assess the validity of measurements.

To understand how discriminate validity is estimated using the MTMM matrix, let's first explore what the matrix is. The MTMM matrix is a table that displays the correlations between multiple traits (constructs) and multiple methods of measuring these traits.

Now, to estimate discriminate validity, we need to examine the diagonal of the matrix. The diagonal represents the correlations between each construct and the same method of measurement. For example, the correlation between intelligence measured using self-report and intelligence measured using objective tests.

Discriminate validity can be assessed by comparing these correlations to the correlations between different constructs measured using the same method.

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Answer:

the rotated image correspond is angle DEF

The result of subtracting 2.14×10^4 from 4.659×10^4 is 2.519×10^4, rounded appropriately.

To compute 4.659×10^4 - 2.14×10^4, we can subtract the two numbers as follows:

4.659×10^4

2.14×10^4

To subtract these numbers, we need to ensure that the exponents are the same. In this case, both numbers have the same exponent of 10^4.

Next, we subtract the coefficients:

4.659 - 2.14 = 2.519

Finally, we keep the exponent of 10^4:

2.519×10^4

Rounding the answer appropriately means rounding the coefficient to the appropriate number of significant figures. Since both numbers provided have four significant figures, we round the result to four significant figures as well.

The fourth significant figure in 2.519 is 9. To determine the appropriate rounding, we look at the next digit after the fourth significant figure, which is 1. Since it is less than 5, we round down the fourth significant figure to 9.

Therefore, the final result, rounded appropriately, is:

2.519×10^4

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Answer:

Well you need a picture and we need to know Length Height and width!

To find the surface area of the figure, we need to consider the individual surfaces and add them together.

First, let's identify the surfaces of the figure:

The lateral surface area of the larger prism (excluding the base)

The two bases of the larger prism

The lateral surface area of the smaller prism (excluding the base)

The two bases of the smaller prism

The lateral surface area of a prism is given by the formula: perimeter of the base multiplied by the height.

The bases of the prisms are rectangles, so their areas can be calculated by multiplying the length by the width.

To find the missing prism's surface area, we need to consider that it is a smaller prism nested inside the larger prism. The lateral surface area and bases of the missing prism should also be included.

Once we have calculated the individual surface areas, we add them together to find the total surface area of the figure.

Without specific measurements or dimensions of the figure, it is not possible to provide a numerical answer. Please provide the necessary measurements or dimensions to calculate the surface area.

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Answer:

Step-by-step explanation:

The dimension of the basis is {[1 0 0 2], [-1 1 0 0]}.

To find a basis for the subspace S = span {[1 -1 0 2], [3 -5 4 8], [0 1 -2 -1]}, we can use the same method as in the example. First, we put the vectors in a matrix and row-reduce it:

[1 -1 0 2]
[3 -5 4 8]
[0 1 -2 -1]

R2 - 3R1 -> R2
R3 -> R3 + 2R1

[1 -1 0 2]
[0 -2 4 2]
[0 1 -2 -1]

-1/2R2 -> R2

[1 -1 0 2]
[0 1 -2 -1]
[0 1 -2 -1]

R3 - R2 -> R3

[1 -1 0 2]
[0 1 -2 -1]
[0 0 0 0]

We can see that the last row is all zeros, so we have only two pivots and one free variable. This means that the dimension of the subspace S is 2. To find a basis, we can write the pivots as linear combinations of the original vectors:

[1 -1 0 2] = [1 0 0 2] + [-1 1 0 0]
[0 1 -2 -1] = [0 1 -2 -1]

Therefore, a basis for S is {[1 0 0 2], [-1 1 0 0]}.

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The estimated change in yy using differentials is -0.00679. This means that if xx is increased by 0.005, then yy is estimated to decrease by 0.00679. The differential of yy is dy=-5sin(5x)dxdy=−5sin⁡(5x)dx. We are given that y=cos(5x)=π/30y=cos⁡(5x)=π/30 and x=0.055x=0.055.

We want to estimate ΔyΔy, which is the change in yy when xx is increased by 0.005. We can use the differential to estimate ΔyΔy as follows:

Δy≈dy≈dy=-5sin(5x)dx

Plugging in the values of y, x, and dxdx, we get:

Δy≈-5sin(5(0.055))(0.005)≈-0.00679

Therefore, the estimated change in yy using differentials is -0.00679.

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False. A p-value of 0.38 does not provide strong evidence against the null hypothesis.

In hypothesis testing, the p-value represents the probability of obtaining the observed data, or more extreme data, assuming that the null hypothesis is true. A higher p-value indicates that the observed data is more likely to occur under the null hypothesis, which suggests weaker evidence against the null hypothesis.

Typically, in hypothesis testing, a p-value less than a pre-determined significance level (e.g., 0.05) is considered statistically significant, indicating strong evidence against the null hypothesis.

In this case, a p-value of 0.38 would be larger than the significance level, indicating that the observed data is not statistically significant and does not provide strong evidence against the null hypothesis.

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Answer:

11 units

Step-by-step explanation:

To find the distance between the two points, you can use the distance formula, which is derived from the Pythagorean theorem. The formula is:

Distance = √((x2 - x1)^2 + (y2 - y1)^2)

Let's calculate the distance between the two points (3, 5) and (3, -6):

Distance = √((3 - 3)^2 + (-6 - 5)^2)

= √(0^2 + (-11)^2)

= √(0 + 121)

= √121

= 11

Therefore, the distance between the two points is 11 units.

Answer:

dependeria de que position estan las lineas

a. The probability of a correct decision on each trial is 0.1.

b. The expected number of correct decisions in seven trials is 0.7.

c. The probability of no correct decisions in seven trials is approximately 0.478.

d. The probability that the psychic guesses incorrectly in all seven trials is approximately 0.0078.

What is probability?

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty.

a. If the psychic is guessing (i.e., does not possess ESP), there are 10 boxes, and only one of them contains the crystal.

Therefore, the probability of a correct decision on each trial is -

p = 1/10 = 0.1

b. If the psychic is guessing, the expected number of correct decisions in seven trials can be found by multiplying the probability of a correct decision on each trial (0.1) by the number of trials (7) -

E(X) = np = 7 × 0.1 = 0.7

Therefore, the number of correct decisions is 0.7.

c. If the psychic is guessing, the probability of no correct decisions in seven trials can be found using the binomial distribution formula -

\(P(X=0) = (n\ choose\ x) \times p^x \times (1-p)^{(n-x)}\)

In this case, n = 7, x = 0, and p = 0.1.

Substituting these values into the formula, we get -

\(P(X=0) = (7\ choose\ 0) \times 0.1^0 \times 0.9^7 = 0.478\)

Therefore, the probability value is 0.478.

d. If the psychic has ESP and p = 0.5, the probability of guessing incorrectly on any trial is -

q = 1 - p

q = 1 - 0.5

q = 0.5

The probability of guessing incorrectly in all seven trials can be found using the binomial distribution formula -

\(P(X=7) = (n\ choose\ x) \times p^x \times q^{(n-x)}\)

In this case, n = 7, x = 7, p = 0.5, and q = 0.5.

Substituting these values into the equation, we get -

\(P(X=7) = (7\ choose\ 7) \times 0.5^7 \times 0.5^0 = 0.0078\)

Therefore, the probability value is 0.0078.

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The Tampa bay skeptics performed an experiment to see whether an acclaimed psychic has extrasensory perception (ESP). A crystal was placed, at random, inside 1 of 10 identical boxes lying side by side on a table. The experiment was repeated seven times, and x, the number of decisions, was recorded. (Assume that the seven trials are independent.)

a. If the psychic is guessing (i.e., if the psychic does not possess ESP), what is the value of p, the probability of a correct decision on each trial?

b. If the psychic is guessing, what is the expected number of correct decisions in seven trials?

c. If the psychic is guessing, what is the probability of no correct decisions in seven trials?

d. Now suppose the psychic has ESP and p=.5. What is the probability that the psychic guesses incorrectly in all seven trials.

Answer:

The three expressions are the first option, the third option, and the forth option

Step-by-step explanation:

I don't really know how to explain my math lol but I solved 5(1/3x+7)-3(1/2x-), and got x, and plugged in x to the equation. I got my answer, and plugged in x to the rest of the equations and the first one, third one, and fourth ones were the ones that had equal answers. You may want to check my math though because i am not the best but that is what I got.

Answer:

B

Step-by-step explanation:

The calculated measure of angle y is 60 degrees

from the question, we have the following parameters that can be used in our computation:

The figure

From the figure, we can see that

The shape can be divided into two triangles such that

Each triangle is an equilateral triangle

The measure of an angle in an equilateral triangle is 60 degrees

using the above as a guide, we have the following:

y = 60

Hence, the value of y is 60 degrees

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Answer:

1.−7=

4f+5=4f+5

2.−6−27r

Step-by-step explanation:

i don't know if this is right let me know

13/1 × 5/8 - 3/1 × 2/3

= 13×5 / 1×8 - 3×2 / 1×3

= 65/8 - 6/3

= 195/24 - 48/24

=147/24

=49/8

Answer

x = 6°

Explanation

The key to solving this is shown in the attached image below

So, we can see that the relation between all of this is that

5x + 17 = ½ [(37x + 5) - (23x - 5)]

5x + 17 = ½ (37x + 5 - 23x + 5)

5x + 17 = ½ (37x - 23x + 5 + 5)

5x + 17 = ½ (14x + 10)

5x + 17 = 7x + 5

5x - 7x = 5 - 17

-2x = -12

Divide both sides by -2

(-2x/-2) = (-12/-2)

x = 6°

Hope this Helps!!!