Find the sum of all the even
numbers between 23 and 29.

Answer:

Step-by-step explanation:

Answer:

height = 8m

radius = 6m

Surface area of the cylinder = 2 Pie r h

= 2* 3.14 * 6 * 8

= 6.28 * 48

= 301.4 sq meters

Based on the hints of distinguishing between radical and non-radical numbers, we have the following lists:

In this question we must order sets of numbers in ascending order. A hint consists in comparing non-radical numbers with the closest radical numbers whose results are integers.

In consequence, we obtain the following orders:

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Given:

Formula:

AB × AD = AC × AE

Here if applied:

EA × EB = EC × ED

2 × 12 = 3 × (3 + y)

24 = 9 + 3y

3y = 15

y = 5

Answer:

y = 5

Step-by-step explanation:

Secant: a straight line that intersects a circle at two points.

Segment: part of a line that connects two points.

The given diagram shows two secant segments EB and ED drawn to the circle from one exterior point E.  Therefore, using the Intersecting Secants Theorem,  the product of the measures of one secant segment and its external part is equal to the product of the measures of the other secant segment and its external part.

⇒ EB · EA = ED · EC

⇒ (2 + 10) · 2 = (3 + y) · 3

⇒ (12)2 = 3(3 + y)

⇒ 24 = 9 + 3y

⇒ 15 = 3y

⇒ y = 5        

Answer:

78

Step-by-step explanation:

plug in -3 as x

6(2(-3)^2-5)

6(2(9)-5)

6(18-5)

6(13)

78

Answer:

(0, 7/12)

Step-by-step explanation:

to find the y intercept we equate x to 0.

hence,

f(0) = 7/12

the coordinate is (0, 7/12)

Answer:

[tex](0,\frac{7}{12})[/tex]

Step-by-step explanation:

In order to find the y-intercept of an equation, simply plug in 0 for x, as that's where the y-axis is.

[tex]\frac{(2(0)+1)(0+7)}{((0)+3)((0)+4)}[/tex]

Simplify:

[tex]\frac{7}{(3)(4)}=\frac{7}{14}[/tex]

Therefore, the y-intercept for the equation is:

[tex]\frac{7}{14}[/tex]

Answer:

1277

Step-by-step explanation:

350 * (1.04)^33 =

1276.93338385

algebracom

theo(12211)

Answer:

franchise fast-food restaurant located in the Northeast specializing in halfpound hamburgers, fish sandwiches, and chicken sandwiches. Soft drinks and French fries are

also available. The planning department of Bun-and-Run Inc. reports that the distribution of

daily sales for restaurants follows the normal distribution and that the population standard

deviation is $3,000. A sample of 40 showed the mean daily sales to be $20,000. Find the 95%

confidence interval for the population mean.

Answer:

[tex] \cfrac{61}{24} [/tex]

Step-by-step explanation:

Given expression:

[tex] \cfrac{2}{3} + \bigg(\cfrac{5}{2} \bigg) {} ^{ 2} \times \cfrac{3}{10} [/tex]

Solution:

Simplify using PEMDAS.

[tex] = \sf \cfrac{2}{3} + \cfrac{25}{4} \times \cfrac{3}{10} \\ \\ = \cfrac{2}{3} + \cfrac{15}{8} \\ \\ = \cfrac{16 +45 }{24} \\ \\ = \boxed{\cfrac{61}{24} }[/tex]

Done!

Answer:

[tex]\frac{61}{24}[/tex]

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] + ( [tex]\frac{5}{2}[/tex] )² × [tex]\frac{3}{10}[/tex] ← evaluate exponent

= [tex]\frac{2}{3}[/tex] + [tex]\frac{25}{4}[/tex] × [tex]\frac{3}{10}[/tex] ← evaluate multiplication ( cancel 25 and 10 by 5 )

= [tex]\frac{2}{3}[/tex] + [tex]\frac{5}{4}[/tex] × [tex]\frac{3}{2}[/tex]

= [tex]\frac{2}{3}[/tex] + [tex]\frac{15}{8}[/tex] ← evaluate addition

= [tex]\frac{2(8)}{3(8)}[/tex] + [tex]\frac{15(3)}{8(3)}[/tex]

= [tex]\frac{16}{24}[/tex] + [tex]\frac{45}{24}[/tex]

= [tex]\frac{61}{24}[/tex]

Answer:

6

Step-by-step explanation:

I presume you meant

[tex]g(x) = \sqrt{x + 32} \\ g(32) = \sqrt{32 + 4} \\ g(32) = \sqrt{36} \\ g(32) = 6[/tex]

Considering the given data-set, it's mean and the formula, the variance is of 870 lbs².

The variance of a data-set is given by the sum of the differences squared between each observation and the mean, divided by the number of values.

The mean is the sum of all observations divided by the number of observations, hence:

M = (145 + 175 + 180 + 205 + 120)/5 = 165.

And the variance, in lbs squared, is given by:

V = [(145-165)² + (175-165)² + (180-165)² + (205-165)² + (120-165)²]/5 = 870.

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The standard deviation is a measure of a collection of values' variance or dispersion. The correct option is B.

The standard deviation is a measure of a collection of values' variance or dispersion. A low standard deviation implies that the values are close to the set's mean, whereas a high standard deviation shows that the values are spread out over a larger range.

For the last summer,

Mean = (140 + 220 + 190 + 180 + 190) / 5 = 920/5 = 184

[tex]\sigma={\sqrt {\dfrac{(140-184)^2+ (220-184)^2+(190-184)^2+(180-184)^2+(190-184)^2}{5}}}\\\\\sigma = 25.7682[/tex]

For this summer,

Mean = (150 + 170 + 150 + 190 + 180) / 5 = 840/5 = 168

[tex]\sigma={\sqrt {\dfrac{(150-168)^2+ (170-168)^2+(150-168)^2+(190-168)^2+(180-168)^2}{5}}}\\\\\sigma = 16[/tex]

Hence, The number of pages in each book varied more last summer than this summer. Thus, the correct option is B.

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Answer: K

Step-by-step explanation:

The subtraction with the negatives can cancel out, resulting in a possible positive answer.

Answer:

k

Step-by-step explanation:

K      you CAN get a positive number....

        example  :

     -3   - (-5)   = -3 + 5 = + 2

Answer:

[tex] \frac{45}{55} = \frac{3}{11} [/tex]

Step-by-step explanation:

I think that is the right answer

If we know that h(x) = (f ° g) (x) = √x + 5, then f(x) = x + 5 and g(x) = √x by applying the binary operation of composition between two functions.

Let be f and g two functions, h is a composition of f with respect to g when the input variable of f is equal to g.  The composed function is h(x) = √x + 5 and there may be more than a solution. One of these solutions are f(x) = x + 5 and g(x) = √x.

If we know that h(x) = (f ° g) (x) = √x + 5, then f(x) = x + 5 and g(x) = √x by applying the binary operation of composition between two functions.

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Answer:

0.98994949366117

√0.98 = 0.98994949366117

Step 1:

Divide the number (0.98) by 2 to get the first guess for the square root.

First guess = 0.98/2 = 0.49.

Step 2:

Divide 0.98 by the previous result. d = 0.98/0.49 = 2.

Average this value (d) with that of step 1: (2 + 0.49)/2 = 1.245 (new guess).

Error = new guess - previous value = 0.49 - 1.245 = 0.755.

0.755 > 0.01. As error > accuracy, we repeat this step again.

Step 3:

Divide 0.98 by the previous result. d = 0.98/1.245 = 0.7871485944.

Average this value (d) with that of step 2: (0.7871485944 + 1.245)/2 = 1.0160742972 (new guess).

Error = new guess - previous value = 1.245 - 1.0160742972 = 0.2289257028.

0.2289257028 > 0.01. As error > accuracy, we repeat this step again.

Step 4:

Divide 0.98 by the previous result. d = 0.98/1.0160742972 = 0.9644963982.

Average this value (d) with that of step 3: (0.9644963982 + 1.0160742972)/2 = 0.9902853477 (new guess).

Error = new guess - previous value = 1.0160742972 - 0.9902853477 = 0.0257889495.

0.0257889495 > 0.01. As error > accuracy, we repeat this step again.

Step 5:

Divide 0.98 by the previous result. d = 0.98/0.9902853477 = 0.9896137535.

Average this value (d) with that of step 4: (0.9896137535 + 0.9902853477)/2 = 0.9899495506 (new guess).

Error = new guess - previous value = 0.9902853477 - 0.9899495506 = 0.0003357971.

0.0003357971 <= 0.01. As error <= accuracy, we stop the iterations and use 0.9899495506 as the square root.

So, we can say that the square root of 0.98 is 0.989 with an error smaller than 0.01 (in fact the error is 0.0003357971). this means that the first 3 decimal places are correct. Just to compare, the returned value by using the javascript function 'Math.sqrt(0.98)' is 0.9899494936611666.

Note: There are other ways to calculate square roots. This is only one of them.

To round it to the tenths, it's 1

To round to the hundredths, it's.99

Thousandth is.990

Answer:

First option.

Step-by-step explanation:

Answer:

17cm Squared

Step-by-step explanation:

Get the area of the whole triangle, then the area of the white part. Then subtract the white from the whole area

Answer:

Step-by-step explanation:

Answer:

No, the total is 43.5 which is below 50.

Step-by-step explanation:

English: 25% × 48 = 12

Mathematics: 50% × 35 = 17.5

Typing: 5% × 80 = 4

Accounting 20% × 50 = 10

12 + 17.5 + 4 + 10 = 43.5

Total: 43.5

Passing: 50

Answer: No. The total is too low.

Step-by-step explanation:

I'm going to assume you meant to write [tex]\sqrt{r+1}[/tex] in the equation as +1 - 1 wouldn't make much sense since they would just cancel out.

a. [tex]f(-1) = \sqrt{-1 + 1} - 1\\ f(-1) = \sqrt{0} - 1\\f(-1) = 0-1\\f(-1) = -1[/tex]

b. [tex]f(24) = \sqrt{24 + 1} - 1\\ f(24) = \sqrt{25} - 1\\f(24) = 5 - 1\\f(24) = 4[/tex]

c. [tex]f(x-1) = \sqrt{(x-1)+1} -1\\f(x-1) = \sqrt{x} - 1[/tex]

Answer:

The cosine function is f(t) = -30sin(π÷3)t + 20

Step-by-step explanation:

Given : The temperature of a chemical reaction ranges between −10 degrees Celsius and 50 degrees Celsius. The temperature is at its lowest point when t = 0, and the reaction completes 1 cycle during a 6-hour period.

To find : What is a cosine function that models this reaction?

General form of cosine function is f(x) = A cos(Bx)+C

Where A is the amplitude

B=2π÷Period

C is the midline    

Now, We have given

The temperature of a chemical reaction ranges between −10 degrees Celsius and 50 degrees Celsius.

A is the average of temperature,

i.e,

A=(-10-50)÷2 = -30

Period of 1 cycle is 6 hour

So,

B = 2π÷6 = π÷3

The temperature is at its lowest point when t = 0 and we know lowest point is -10

So,

f(t) = A cos t + C

-10 = -30 cos 0 + C

Therefore, C = 20

Substituting the values, we get

The cosine function is f(t) = -30sin(π÷3)t + 20

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Answer:

z = -2

Step-by-step explanation:

Answer:

[tex]\boxed{\bf z = - 2}[/tex]

Step-by-step explanation:

[tex]\bf 6z + 10 = - 2[/tex]

Subtract 10 from both sides.

Simplify.

Divide both sides by 6.

Simplify.

_________________________

Answer: 59

Step-by-step explanation:

The measure of an arc is equal to the measure of the central angle intercepted by it.

Answer:

CI = (71.41%, 78.99%)

Step-by-step explanation:

[tex] \frac{376}{500} - 1.96 \sqrt{ \frac{ (\frac{376}{500} )( \frac{124}{500} )}{500} } = 71.415\%[/tex]

[tex] \frac{376}{500} + 1.96 \sqrt{ \frac{ (\frac{376}{500} )( \frac{124}{500}) }{500} } = 78.985\%[/tex]

If 500 high school students, 376 said they would prefer to have computers in every classroom then the confidence interval at 95% is (71.41%,78.99%)  Since option (a) is correct.

Given x= 376, n = 500

The (71.41%,78.99%)  

[tex]\hat{p}=\frac{x}{n}\\ =\frac{376}{500} \\=0.752[/tex]

Critical values

Using the z-table the z-critical value at the given significance level at α=0.05 is,[tex]z_{a/2} =1.96[/tex]

Construct a 95% confidence interval

That is,

[tex]\hat{p}= z_{a/2}\sqrt{\frac{\hat{p}(1-\hat{p})}{n} }[/tex]

  [tex]=0.752\pm 1.96\sqrt{\frac{0.752(1-0.752)}{500} }[/tex]

  [tex]=0.752\pm 0.0379[/tex]

  = (71.41%,78.99%)  

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Answer:

[tex]x^{2}-\frac{3}{2} x-\frac{7}{16} =0[/tex]

Step-by-step explanation:

[tex]\begin{cases}\alpha -\beta =2\\ \alpha^{2} -\beta^{2} =3\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}\alpha -\beta =2&\\ \left( \alpha +\beta \right) \left( \alpha -\beta \right) =3&\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}\alpha -\beta =2&\\ \alpha +\beta =\frac{3}{2} &\end{cases}[/tex]

Then

2α = 2 + 3/2 = 7/2

2β = (3/2) - 2 = -1/2

Then

Then

α = 7/4

β = -1/4

Then

a quadratic equation with root α and β can be :

[tex]\left( x+\frac{1}{4} \right) \left( x-\frac{7}{4} \right) =0[/tex]

[tex]\Longrightarrow x^{2}-\frac{3}{2} x-\frac{7}{16} =0[/tex]

Applying the distance formula, the length of AB is: D. About 9.4 units.

Distance formula is given as: [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex].

Given the following:

A(4, 2) = (x1, y1)

B(9, 10) = (x2, y2)

Apply the distance formula

AB = √[(9−4)² + (10−2)²]

AB = √[(5)² + (8)²]

AB = √89

AB ≈ 9.4 units

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Answer: [tex](-\infty, -8) \cup (-8, \infty)[/tex]

Step-by-step explanation:

I'm assuming you meant [tex]f(x)=\frac{x-9}{x+8}[/tex]

For this function, we need to make sure the denominator is not equal to 0, because if it was, then the fraction would be undefined.

Thus, [tex]x+8 \neq 0 \longrightarrow x \neq -8[/tex]

In interval notation, this is [tex](-\infty, -8) \cup (-8, \infty)[/tex]

The Function models Jay's total monthly salary s(x) in dollars would be s(x) = 0.03s - 1060.

A function is a type of relation, or rule, that maps one input to a specific single output.

Given

Base salary = $2500 per month

Commision = 3% on Sales over 48000

Determine the function s(x) for sales over $48000

Let's Represent the total sales in a month with s.

So, the function s(x) is:

s(x)  = Base Amount + Commission x Sales over $48000

s(x) = 2500  + 3% (s - 48000)

s(x) = 2500  + 0.03(s - 48000)

s(x) = 2500  + 0.03s - 1440

s(x) = 0.03s - 1060

Hence, the Function models Jay's total monthly salary s(x) in dollars would be s(x) = 0.03s - 1060.

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