Last year, Leila opened an investment account with $8800. At the end of the year, the amount in the account had decreased by 6%.

Answer:

3(x + 5y) - 2(x + y)

3x + 15y - 2x - 2y

x + 13y

(3x + 15y) + (-2x + -2y)

x + 13y

Method:

First place the replace of p and r using brackets.

= 3(6) + 11.7(7)

3 times 6 is 18 and 11.7 times 7 is 81.9

= 18 + 81.9

add one and one together you get

= 99.9

hope it helps

If the radius of the circle is 5 m and angle subtended by arc LKM is 70° then the length of the arc LNM is 25.29 m.

Given that the radius of the circle is 5 m and angle subtended by arc LKM is 70°.

From the figure given we can estimate that the length of arc LNM can be circumference of circle subtracted by length of arc LKM.

Circulference of the circle is basically the length of whole arc of the circle. It is also know as perimeter of the circle. The formula of calculating circumference of a circle is 2πr in which r is the radius.

So,

length of arc LNM=Circumference of circle-length of arc LKM.

We know that length of an arc =Θr

in which Θ is the angle in radian.

length of arc=70*π\(/180*5\)

=70π\(/36\)

Circumference of circle=2π*5

=10π

Length of arc LNM=10π-70π\(/36\)

=(360π-70π)\(/36\)

=290π\(/36\)

Put π=3.14

=290*3.14\(/36\)

=910.6\(/36\)

=25.29m

Hence the length of arc LNM is 25.29 m.

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Based on the distance that Jill is above sea level, and the distance of the whale, the difference in elevation is 1.35 km.

Jill's elevation relative to sea level is:

= +5/4 km

The whale's elevation relative to sea level is:

= - 0.1 km

The difference is therefore:

= 5/4 - (-0.1)

= 1.25 + 0.1

= 1.35 km

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Answer:

21

Step-by-step explanation:

The equation of the line perpendicular to y=1/2x-1 and passing through the point (5,6) is y = -2x + 16.

To find the equation of the line perpendicular to y=1/2x-1, we need to determine its slope. We can recall that the slope of a line in slope-intercept form, y = mx + b, is given by m, the coefficient of x. So in the given equation y=1/2x-1, the slope is 1/2.

The slope of a line perpendicular to this line will be the negative reciprocal of the slope, which means it will be -2. To see why this is true, remember that the product of the slopes of two perpendicular lines is always -1. So if the slope of the original line is m, the slope of the perpendicular line will be -1/m.

Now that we know the slope of the perpendicular line is -2, we can use the point-slope form of the equation of a line to find its equation. The point-slope form is:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is a point on the line.

We are given a point on the perpendicular line, (5, 6), so we can substitute that into the equation and also substitute in the slope, -2:

y - 6 = -2(x - 5)

y - 6 = -2x + 10

y = -2x + 16

Hence, the equation of the line perpendicular to y=1/2x-1 and passing through the point (5,6) is y = -2x + 16.

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The probability that a 42 person shift will put together between 193.2 and 201.6 computers per hour is given as follows:

0.0006 = 0.06%.

The z-score of a measure X of a normally distributed variable that has mean represented by \(\mu\) and standard deviation represented by \(\sigma\) is obtained by the equation presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The parameters for this problem are given as follows:

\(\mu = 4.2, \sigma = 0.8, n = 42, s = \frac{0.8}{\sqrt{42}} = 0.1234\)

The probability that a 42 person shift will put together between 193.2 and 201.6 computers per hour is equivalent to the probability of a sample mean between 193.2/42 = 4.6 and 201.6/42 = 4.8.

The probability is the p-value of Z when X = 4.8 subtracted by the p-value of Z when X = 4.6, hence:

Z = (4.8 - 4.2)/0.1234

Z = 4.86

Z = 4.86 has a p-value of 1.

Z = (4.6 - 4.2)/0.1234

Z = 3.24

Z = 3.24 has a p-value of 0.9994.

Hence:

1 - 0.9994 = 0.0006 = 0.06%.

The missing section is given by the image presented at the end of the answer.

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Answer:

Step-by-step explanation:

\(1,000,000\times 1,00,000\)

\(=10000000000\)

Have a good day!

SOLUTION

The Linear Pair Theorem states that two angles that form a linear pair are supplementary; that is, their measures add up to 180 degrees.

For instance

Consider the image given

The measure of the angles are

The sum of the angles is

From the image,

we can see that the angles are not linear pair and hence did not follow the linear pair thorem

Answer:

15.5027 ft

Step-by-step explanation:

Step 1: Find conversion

1 m = 3.281 ft

Step 2: Use Dimensional Analysis

\(4.725 \hspace{3} m(\frac{3.281 \hspace{3} ft}{1 \hspace{3} m} )\) = 15.5027 ft

Answer:

Step-by-step explanation:

The conclusion is invalid

Answer:

Step-by-step explanation:

The perimeter of the triangle shown is 17x units. The dimensions of the triangle are given in units. Which equation can be used to find the value of x?

7x + 15 + 15 = 17x

30 = 10x

x = 3

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

check

7×3+15+15=17×3

21 + 30 = 51

51=51

the answer is good

Answer:

17x=30+7x

Step-by-step explanation:

For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

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Answer:

7.5%

Step-by-step explanation:

Explanation:

There are n = 5 items in set T

This means there are 2^n = 2^5 = 32 subsets

Answer:

A

Step-by-step explanation:

If you get that right, follow Sammy Revv on Spotify please

Answer

8.

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

We will make use of the Trigonometry ratio to solve this question.

From the figure provided;

Hypotenuse side = 6

Opposite side = y

Adjacent side = x

Given angle = 60 degrees

To find side x, the suitable Trigonometry ratio to be used is the Cosine.

Thus, we have;

To find side y, the suitable Trigonometry ratio to be used is the Sine.

Thus, we have;

Hence, the values of x and y are:

Answer 58 1/2:

Step-by-step explanation:

The number of miles (m) travelled as represented in the equation 2[(4m * 3.5) / 400] = 171.5 is 2450 miles

Equations are mathematical statements containing two algebraic expressions on both sides of an equal to sign. An equation can be expressed as the relationship of equality between the expression written on the left side with the expression written on the right side. Equations can be solved to find the value of an unknown variable representing an unknown quantity. If equality does not exist between the expression, it means it is not an equation. It will be considered as an expression.

In the equation given;

2[(4m * 3.5) / 400] = 171.5

We can find the value of m by applying changing the subject of formula

2[(4m * 3.5) / 400] = 171.5

28m / 400 = 171.5

28m = 400 * 171.5

28m = 68600

m = 68600 / 28

m = 2450

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The values of the variables in number 3, in simplest radical form, are:

f = 6;  o = 3.

The simplest radical form, also known as simplified radical form or simplified surd, refers to expressing a square root (√) or other roots in the simplest possible way without any perfect square factors in the root. In other words, it involves reducing the radical expression to its simplest form.

Solving problem 3, we would apply the necessary Trigonometric ratios to find the variables:

sin 60 = opp/hyp

sin 60 = 9√3 / f

f = 9√3 / sin 60

f = 9√3 / √3/2 [sin 60 = √3/2]

f = 9√3 * 2/√3

f = 18/3

f = 6

tan 60 = opp/adj

tan 60 = 9√3 / o

o = 9√3 / tan 60

o = 9√3 / √3 [sin 60 = √3]

o = 9√3 * 1 / √3

o = 9/3

o = 3

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Answer:

o = 9

f = 18

Step-by-step explanation:

Triangle #3 is a right triangle with two of its interior angles measuring 60° and 90°. As the interior angles of a triangle sum to 180°, this means that the remaining interior angle must be 30°, since 30° + 60° + 90° = 180°. Therefore, this triangle is a special 30-60-90 triangle.

The side lengths in a 30-60-90 triangle have a special relationship, which can be represented by the ratio formula a : a√3 : 2a, where "a" represents a scaling factor that can be any positive real number.

In triangle #3, the longest leg is 9√3 units.

As "a√3" is the shortest leg, the scale factor "a" is 9.

The side labelled "o" is the shortest leg opposite the 30° angle. Therefore:

\(o = a=9\)

The side labelled "f" is the hypotenuse of the triangle. Therefore:

\(f= 2a = 2 \cdot 9=18\)

Therefore:

Answer:

Biography

Step-by-step explanation:

It is not fake

Answer:

C. A short story

Step-by-step explanation:

A speech is given by someone in real life

A biography is something written on someone else's life

A short story is not on any real life situation

An autobiography is something written by a person on their life

The inversion point of (4, 5) with respect to the circle x² + y² - 4x - 6y - 3 = 0 is (6, 7).

To find the inversion point of the given point (4, 5) with respect to the circle x² + y² - 4x - 6y - 3 = 0, we need to follow these steps:

Step 1: Write the equation of the given circle in standard form by completing the square for x and y: (x - 2)² + (y - 3)² = 16.

Step 2: Find the radius of the circle by taking the square root of the constant term: r = √16 = 4.

Step 3: Find the distance between the given point (4, 5) and the center of the circle (2, 3) using the distance formula: d = √[(4 - 2)² + (5 - 3)²] = √8.

Step 4: Use the formula for inversion point to find the coordinates of the inversion point (x', y'): (x', y') = (h + r²/d² * (x - h), k + r²/d² * (y - k)), where (h, k) is the center of the circle and r is the radius.

Plugging in the values, we get: (x', y') = (2 + 4²/8 * (4 - 2), 3 + 4²/8 * (5 - 3)) = (6, 7).

Therefore, the inversion point of the given point (4, 5) with respect to the circle x² + y² - 4x - 6y - 3 = 0 is (6, 7).

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Based on the information given, the null hypothesis states that the newscast reaches 41% of the viewing audience, while the alternate hypothesis states that it does not reach 41% of the audience. So, the correct answer is d. Fail to reject the null hypothesis.

To determine the decision, we need to perform a hypothesis test using the given significance level α = 0.01. This significance level represents the maximum acceptable probability of making a Type I error, which is rejecting the null hypothesis when it is actually true.

In the survey of 100 viewers, 36% indicated that they watch the late evening news on the local CBS station. To test the hypothesis, we can use a one-sample proportion test. We compare this sample proportion to the claimed 41% to see if there is a significant difference.

Using a statistical calculator or software, we calculate the p-value associated with the observed sample proportion. If this p-value is less than α (0.01), we reject the null hypothesis. If the p-value is greater than or equal to α, we fail to reject the null hypothesis.

Based on the decision criteria, if the p-value is less than 0.01, we would reject the null hypothesis and conclude that the newscast does not reach 41% of the audience. However, if the p-value is greater than or equal to 0.01, we would fail to reject the null hypothesis. To summarize, the correct decision, given α = 0.01, would be d. Fail to reject the null hypothesis.

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2 is the correct answer of this question

Answer:

the answer is 1000 metres

Answer:

\( \huge \red{ c_3 = - 1}\)

Step-by-step explanation:

\(c_1 = 1 \\ \\

c_n= - 2c_{n-1}+5 \\ \\ c_2 = - 2c_{2-1}+5 \\ \\ c_2 = - 2c_{1}+5 \\ \\ c_2 = - 2(1)+5 \\ \\ c_2 = - 2+5 \\ \\ \huge \purple{c_2 =3} \\ \\ c_3 = - 2c_{3-1}+5 \\ \\ c_3 = - 2c_{2}+5 \\ \\ c_3 = - 2(3)+5 \\ \\ c_3= - 6+5 \\ \\ \huge \red{ c_3 = - 1}\)

Answer:

As a whole, the piece first measured 38 inches. No matter how many times you cut it, all of the pieces will still add up to 38 inches. You know that 19 inches is the length of one of the two pieces, so all you need to find is the other unknown piece. Add the two together, with m being the unknown length.

19+m=38

If you want to solve the equation, just subtract 19 from both sides.

19+m=38

m=19

Answer:

pre-tax = 1,062.50

after taxes = 1,131.56

The proof that shows that ΔLMN ≅ ΔQPN by either SSS or SAS is explained below.

If we can show that two triangles have two pairs of congruent sides and a pair of corresponding congruent included angles, then we can state they are congruent triangles based on the SAS theorem.

On the other hand, if all three corresponding side lengths are congruent to each other, then the triangles are congruent by the SSS theorem.

The proof that can be used to show that the two triangles are congruent by SAS is shown below:

Statement                                 Reasons                                  

1. ∠L ≅ ∠Q, LM ≅ QP,              1. Given

MN ≅PN, NL ≅ NQ

2. ΔLMN ≅ ΔQPN                    2. SSS

Based on the given information we are given, another way of writing this proof can be:

Statement                                 Reasons                                  

1. ∠L ≅ ∠Q, LM ≅ QP,              1. Given

MN ≅PN, NL ≅ NQ

2. ΔLMN ≅ ΔQPN                    2. SAS

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