work and solution. Identify the error and descr
problem correctly.
Incorrect Work/Solution
m = the number of messages Nigel sent
644 = 7m
-7 -7
637 =m
Nigel sent an average of 637 messages
each day last week.
Correct Work/Solution

Answer:

**DUE TOMORROW, NEED ANSWER ASAP**

NASA has asked you to evaluate a number of proposals for telescopes. These proposals include information about where the telescope would be built and what wavelengths it intends to observe at. Based only on these factors, evaluate whether NASA should consider funding each proposal. Justify your recommendations. (Some telescopes may have more than one "correct" answer depending on how you justify it).

a.) An ultraviolet telescope in space

b.) An optical telescope in a remote location in Michigan's upper peninsula

c.) A radio telescope in the Mojave desert in Arizona

d.) An x-ray telescope in the Andes mountains in Chile

e.) An optical telescope in space

Step-by-step explanation:

The solution is the area of the figure is 53.17.

The area of a trapezoid is found using the formula, A = ½ (a + b) h,

where 'a' and 'b' are the bases (parallel sides) and 'h' is the height .

here, we have,

from the given figure we get,

a = 10,

b = 6

h = 8

so, A = 64

again, the cut triangle is a equilateral triangle with side = 5

then, area of triangle = √3/4 * 5^2

                                   = 10.82

so, required area = 53.17

Hence, The solution is the area of the figure is 53.17.

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Answer:

this is not belongs to mathematics

Step-by-step explanation:

Answer:

Step-by-step explanation:

we have two rectangles side by side, the larger one measures 8m by 6m, the smaller one 5m by 4m, the 4 meters is the difference between the base  (10m) and the 6m side, so we find the areas and add them using the formula A = L x W, the result is not in the choices but it is right.

6 * 8 + 4 * 5 =                     remember PEMDAS

48 + 20 =

68 m²

The length of side AB within quadrilateral ABCD is 14.301 meters.

In this problem we find a geometric system formed by a quadrilateral and two diagonals, whose parameters are listed below:

CD = 20 m

m ∠ BCD = 20°

m ∠ ACB = 40°

m ∠ ADC = 45°

m ∠ ADB = 50°

The missing side can be found by combining law of sine and law of cosine:

Law of sine

20 / sin 65° = BD / sin 20°

BD = 7.548

20 / sin 75° = AD / sin 60°

AD = 17.932

Law of cosine

AB = √(AD² + BD² - 2 · AD · BD · cos ADB)

AB = √(17.932² + 7.548² - 2 · 17.932 · 7.548 · cos 50°)

AB = 14.301

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The required trigonometric ratios are as follows: sin t = 1/2 and cos t = √3/2.

Trigonometric functions are defined as the functions which show the relationship between the angle and sides of a right-angled triangle.

According to the given figure, we have a right triangle ΔABC which has:

AB = 1/2

BC = √3/2

CA = AB² + BC²

CA = √(1/2)² + (√3/2)²

CA = √1/4 + 3/4

CA = √4/4 = 1

As we know that the trigonometric ratios are as follows:

sin (180°- t) = AB/CA

sin t = (1/2)/1

sin t = 1/2

cos (180°- t) = BC/CA

cos t = (√3/2)/1

cos t = √3/2

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Company should provide insurance policies to employees because the employees are assets to them.

An insurance policy is a contract between the insurance company and the person getting the insurance.

Employees are assets of a company.

Companies should look after by insuring this asset like any other asset.

Although it is not the only factor for an employee to stick to a company, it is also one of the contributing factor for the employees to stick to a company longer.

It is a very good benefit for the employee since the premium is paid by the employer for the employee.

Hence companies should provide insurance policies to employees.

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The solution of the question sin(50)sin(80)cos(50)cos(80) is cos^2(80o), the correct option is D.

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot. Trigonometric ratio can be defined in terms of ratios of perpendicular, bases and hypotenuse. These are defined only in right angled triangles (triangles whose one angle is of 90 degree measure).

Given;

sin(50)sin(80)cos(50)cos(80)

Now,

=sin(20°)cos(80°) – cos(20°)sin(80°)

=sin(A-B) = sinA.cosB – cosA.sinB

=sin(20°-80°)

=sin(-60°)

=cos^2(80o)

Therefore, by trigonometry the answer will be cos^2(80o).

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Answer: x=10

Step-by-step explanation:

Answer:x intercept (2,0)

Yintercept (0,-10)

Step-by-step explanation:

y=mx+b b= y intercept

To find x you just solve

Y=5x-10

10=5x

2=x

Answer:

the square root(route?) of four

Step-by-step explanation:

2x2=4, that dot is near two....

The value of k is given as follows:

k = 2x.

The exponential function that models the growth of the first virus is given as follows:

y = P(3)^x.

The exponential function that models the growth of the second virus is given as follows:

y = P(9)^x = P(3)^k.

We have that 9 is the second power of 3, hence we have that:

y = P(3²)^x = P(3)^k.

Applying the power of power rule, we have that:

y = P(3)^(2x) = P(3)^k.

Hence the value of k is given as follows:

k = 2x.

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Answer:

To find the coefficient of variation (CV) of a sample, we divide the standard deviation by the mean and multiply by 100 to get the percentage.

1. For the systolic sample:

•Find the mean:

mean = (116 + 130 + 157 + 94 + 155 + 122 + 115 + 138 + 124 + 122) / 10 = 130

•Find the standard deviation:

sum = (116 - 130)^2 + (130 - 130)^2 + (157 - 130)^2 + (94 - 130)^2 + (155 - 130)^2 + (122 - 130)^2 + (115 - 130)^2 + (138 - 130)^2 + (124 - 130)^2 + (122 - 130)^2

sum = 165.4

std = sqrt(sum/9) = 7.3

•Calculate the coefficient of variation:

CV = (std / mean) × 100 = (7.3 / 130) × 100 = 5.62%

2. For the diastolic sample:

•Find the mean:

mean = (82 + 78 + 74 + 51 + 89 + 88 + 56 + 63 + 72 + 83) / 10 = 72.5

•Find the standard deviation:

sum = (82 - 72.5)^2 + (78 - 72.5)^2 + (74 - 72.5)^2 + (51 - 72.5)^2 + (89 - 72.5)^2 + (88 - 72.5)^2 + (56 - 72.5)^2 + (63 - 72.5)^2 + (72 - 72.5)^2 + (83 - 72.5)^2

sum = 624.75

std = sqrt(sum/9) = 12.24

•Calculate the coefficient of variation:

CV = (std / mean) × 100 = (12.24 / 72.5) × 100 = 16.82%

So the CV for systolic is 5.62% and the CV for diastolic is 16.82%. We can see that the diastolic measurement has higher variation than the systolic measurement.

Answer:

So the answer is 1535 with a remainder of 18.

Step-by-step explanation:

  63

96431

-----

96431 - 54249 = 42182

-----

42182

 4218

-----

  420

  ---

   18

   ---

Answer:

x = 81

Step-by-step explanation:

If a is directly proportional to y²:

[tex]\boxed{a \propto y^2 \implies a=ky^2}[/tex]

If b is inversely proportional to y:

[tex]\boxed{b \propto \dfrac{1}{y} \implies b=\dfrac{m}{y}}[/tex]

Given equation:

[tex]x=a+b+4[/tex]

Substitute the derived expressions for a and b into the given equation:

[tex]\implies x=ky^2+\dfrac{m}{y}+4[/tex]

Substitute the given values of x and y into the equation to create two equations in terms of k and m.

Given that x = -3 when y = 1:

[tex]\implies -3=k+m+4[/tex]

Given that x = 18 when y = 2:

[tex]\implies 18=4k+\dfrac{m}{2}+4[/tex]

Rewrite the first equation to isolate k:

[tex]\implies k=-m-7[/tex]

Substitute the expression for k into the second equation and solve for m:

[tex]\implies 18=4(-m-7)+\dfrac{m}{2}+4[/tex]

[tex]\implies 18=-4m-28+\dfrac{m}{2}+4[/tex]

[tex]\implies -4m+\dfrac{m}{2}=42[/tex]

[tex]\implies -8m+m=84[/tex]

[tex]\implies -7m=84[/tex]

[tex]\implies m=-12[/tex]

Substitute the found value of m into the expression for k and solve for k:

[tex]\implies k=-(-12)-7[/tex]

[tex]\implies k=5[/tex]

Substitute the found values of k and m into the equation to create an equation for x in terms of y:

[tex]\boxed{x=5y^2-\dfrac{12}{y}+4}[/tex]

Finally, to find the value of x when y = 4, substitute y = 4 into the equation and solve for x:

[tex]\implies x=5(4)^2-\dfrac{12}{4}+4[/tex]

[tex]\implies x=5(16)-3+4[/tex]

[tex]\implies x=80-3+4[/tex]

[tex]\implies x=81[/tex]

Answer:

please review the attachment

The average rate of change of the function over the interval (-1, 2) is 3.

Average rate of change of a function is defined as the rate at which the value of the function is changing with respect to the change in the input values.

Difference quotient of a function over an interval is also the same concept as the average rate of change of a function.

Average rate of change of a function f(x) over an interval (a, b) is [tex]\frac{f(b) - f(a)}{b-a}[/tex].

Given interval is (-1, 2).

From the graph, f(-1) = -4 and f(2) = 5

Average rate = [tex]\frac{f(2) - f(-1)}{2--1}[/tex] = (5 - -4) / (3) = 9/3 = 3

Hence the given function has an average rate of change over the interval (-1, 2) at 3.

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The area of the triangle with side lengths 28 and 21 and an angle of 118 degrees is 260 squared unit.

A triangle is simply a two-dimensional polygon with 3 sides and 3 interior angles.

The area of a triangle can be determine using the formula;

A = ( a × b × sin( C ) ) / 2

From the diagram;

Plug the given values into the above formula.

A = ( a × b × sin( C ) ) / 2

A = ( a × m × sin( R ) ) / 2

A = ( 28 × 21 × sin( 118° ) ) / 2

A = ( 588 × sin( 118° ) ) / 2

A = ( 588 × 0.8829 ) / 2

A = 519.17 / 2

A = 260 square unit.

Therefore, the area of the triangle is 260 square unit.

Option D) 260 is the correct answer.

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The area of the figure  to the nearest whole number is 260

The area of a triangle is the region contained by the triangle's sides. The length of the sides and internal angles affect a triangle's area differently from one triangle to the other.

From the given triangle:

The required area of a triangle is:

[tex]A = a*b * \dfrac{sin \gamma}{2}[/tex]

where;

[tex]A = 28*21 * \dfrac{sin \ 118}{2}[/tex]

A = 14 × 21 × sin 118

A = 14 × 21 × 0.8830

A = 259.602

A = 260

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The formula to calculate the nth term of the sequence is an = -3n+18.

The difference between any two consecutive integers in an arithmetic progression (AP) sequence of numbers is always the same amount. It also goes by the name Arithmetic Sequence.

Given that the arithmetic series is 15,12,9,6.....

The nth term of the arithmetic sequence will be calculated as:-

an = a₁ + (n-1)d

The first term is 15 and the common difference for the series is 12-15 = -3.

The nth term will be calculated as:-

an = a₁ + (n-1)d

an = 15 + (n-1)-3

an = 15 -3n +3

an = -3n + 18

Therefore, an = -3n+18 is the formula to find the nth term in the sequence.

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Answer:

Step-by-step explanation:

Here's a step by step explanation of how to calculate the number of cakes baked if the bakery baked 96 loaves of bread:

First, determine the number of sets of 12 loaves of bread that were baked:

96 loaves of bread ÷ 12 loaves per set = 8 sets of 12 loaves

Next, determine the number of cakes baked for each set of 12 loaves of bread:

For every set of 12 loaves, 5 cakes are baked.

Finally, multiply the number of sets by the number of cakes baked per set to find the total number of cakes baked:

8 sets × 5 cakes per set = 40 cakes

So, if the bakery baked 96 loaves of bread, they would have baked 40 cakes.

Answer:

40

Step-by-step explanation:

12 times 8 equals 96 and 5 times 8 equals 40, there for 40 cakes will be backed

The volume of the cylinder will be 666 cubic centimeters. Then the correct option is D.

Volume is a measurement of three-dimensional space that is utilized. It is frequently mathematically quantified using SI-derived units or different imperial or US traditional units. The concept of length is linked to the notion of capacity.

The radius and height of the cone and the cylinder are the same. Then the ratio of the volume of the cylinder to the volume of the cone is 3. Then we have

(Volume of the cylinder) / (Volume of the Cone) = 3

Volume of the cylinder  / 222 = 3

Volume of the cylinder = 666 cubic cm

The volume of the cylinder will be 666 cubic centimeters. Then the correct option is D.

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Answer: Width = 73 m

Step-by-step explanation:

Perimeter = Length(2) + Width(2)

330 - (92 x 2)

330 - 184 = 146

146 = Width of 2 sides

146/2 = 73 m

The value of the composite functions of h(g(x)) is h(g(x)) = -20x + 6.

In mathematics, a function is composed when two functions, f and g, are used to create a new function, h, such that h(x) = g(f(x)). The function of g is being applied to the function of x, in this case. Therefore, a function is essentially applied to the output of another function.

Given that, h(x) = 4x + 6 and g(x) = -5x.

The value of h(g(x)) is calculated by substituting x = -5x in the equation of h(x).

h(g(x)) = 4(-5x) + 6

h(g(x)) = -20x + 6

Hence, the value of the composite functions of h(g(x)) is h(g(x)) = -20x + 6.

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What is true about the population and sample of the survey is that;'

The population is the total number of people who go to the movie theater, and the sample is the first 100 people at the theater.

In statistics, the population is defined as the entire group that you want to draw conclusions about. However, the sample is defined as the specific group that you will collect data from. The size of the sample is always less than the total size of the population. In research, a population doesn't always refer to people.

Now, we are told that a survey is taken at a movie theater in Wayside. The first 100 people who entered the theater were asked about their favorite type of movie.

Thus, the sample will be 100 people surveyed as they are part of the entire people at the movie theater.

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Reason:

The standard deviation is the square root of the variance.

[tex]\text{Standard deviation} = \sqrt{\text{variance}}\\\\\text{Standard deviation} = \sqrt{1.56}\\\\\text{Standard deviation} \approx 1.24899959967968\\\\\text{Standard deviation} \approx 1.25\\\\[/tex]

Round the answer however you need to, or however your teacher instructs. I rounded to two decimal places since 1.56 is to two decimal places.

The standard deviation of the discrete random variable if the variance is 1.56 is 1.25

Given that, a discrete random variable has a variance of 1.56, we need to find its standard deviation

We know that,

The standard deviation is the square root of the variance.

Standard deviation = √ variance

Standard deviation = √1.56

Standard deviation = 1.24899959967968

Standard deviation = 1.25

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The length of side DF is 5 units.

If two figures possess the same shape but not necessarily the same size, they are considered to be similar. We may remark that all circles are similar as an example. Equilateral triangles and squares are similar to one another. Although similar figures need not be congruent, all congruent figures are similar.

Property 1:

Two triangles are similar if their respective sides have the same ratio and their corresponding angles are equal.

Property 2:

The corresponding angles of two similar triangles will have equal values . Equiangular triangles are what they are called.

Now by property 1,

The pairs of  corresponding sides of similar traingles are proportional .

Therefore, in the given triangles,

[tex]\frac{BA}{ED} =\frac{AC}{DF}[/tex]

[tex]\frac{6}{3} =\frac{10}{x} \\\\x=5[/tex]

Hence, the value of x = 5 units.

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Answer:32

Step-by-step explanation: 24 divided by .75=32

The only correct option for the given quadratic function, is the graph of the function is a parabola. (there is only one correct option)

A quadratic function is a polynomial function with one or more variables in which the highest exponent of the variable is two.

Given is a quadratic function f(x) = x² - 5x + 12, there are some options given, we need to select the option which are correct according to the given quadratic function,

So, firstly we will plot the graph of the given function,

From the graph, we get,

The function is a parabola which opens up, the points (20, -8) and (0, 0) do not lie in the graph,

Now, finding the value of f(-10), put x = -10

(-10)² - 5(-10) + 12 = 100+52+12 = 164

Hence, in the conclusion the only correct option for the given quadratic function, is the graph of the function is a parabola. (there is only one correct option)

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C is 22 and B is 20, then the length of CB is √(22² + 20²) = √(884) = 29.

Length is a measurement of size and it can be measured in a variety of waste including inches sentiment of metres feet miles and more. Playing these an important concept in mathematics, science and engineering and many others build it to used to calculate the dimensions of this area. And more it is also used to measure the time it takes to travel.

The length of CB can be determined by using the Pythagorean theorem, which states that the square of the length of the hypotenuse (the longest side of a right triangle) is equal to the sum of the squares of the other two sides. Since CB is the hypotenuse of a right triangle, the length of CB can be determined by solving the following equation:

C² + B² = CB²

Therefore, when given the lengths of sides C and B, the length of CB can be calculated by taking the square root of the sum of the squares of C and B.

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