Use the properties of exponents to solve for the each variable.

Answer:

The correct answer is first option

X = 10.53

Step-by-step explanation:

Points to remember

Trigonometric ratios

Sin θ = Opposite side/Hypotenuse

Cos θ = Adjacent side/Hypotenuse

Tan θ = opposite side/Adjacent side

From the figure we can see a right angled triangle, with one angle is  29 degree, one side is 19 and hypotenuse is x

To find the value of x

Tan θ = Opposite side/Adjacent side

Tan 29 = 19/x

x = 19 * Tan 29

 = 19 * 0.5543

 = 10.53

Therefore the correct answer is first option

Answer:

Final answer is approx [tex]x=34.28[/tex].

Step-by-step explanation:

Using given information in the picture, we need to find the missing value of x.

Apply formula of tangent function which is :

[tex]\tan\left(\theta\right)=\frac{opposite}{adjacent}[/tex]

[tex]\tan\left(29^o\right)=\frac{19}{x}[/tex]

[tex]0.554309=\frac{19}{x}[/tex]

[tex]x=\frac{19}{0.554309}[/tex]

[tex]x=34.2769105319[/tex]

Hence final answer is approx [tex]x=34.28[/tex].

Answer:

Option B [tex]\frac{24}{25}[/tex]

Step-by-step explanation:

we know that

[tex]sin(2\theta) = 2 sin(\theta) cos(\theta)[/tex]

In this problem we have

[tex]cos(\theta)=\frac{4}{5}[/tex]

Find the value of [tex]sin(\theta)[/tex]

Remember that

[tex]sin^{2} (\theta)+cos^{2} (\theta)=1[/tex]

substitute the value

[tex]sin^{2} (\theta)+(\frac{4}{5})^{2}=1[/tex]

[tex]sin^{2} (\theta)=1-\frac{16}{25}[/tex]

[tex]sin^{2} (\theta)=\frac{9}{25}[/tex]

[tex]sin(\theta)=\frac{3}{5}[/tex]

Find the value of [tex]sin(2\theta)[/tex]

[tex]sin(2\theta) = 2 (\frac{3}{5})(\frac{4}{5})[/tex]

[tex]sin(2\theta) = \frac{24}{25}[/tex]

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

Explanation:

The portion that has 2pi*r^2 represents the two base areas (think of the top and bottom of a can). The 2*r*pi*h is the lateral surface area, which can be thought of as the area in which the label covers. So put together the total surface area of the entire cylinder is 2pi*r^2 + 2*r*pi*h

note: 2*r*pi*h is the same as 2pi*r*h

Answer:

[tex]3 \sqrt[3]{162} = 3 \sqrt[3]{27} \sqrt[3]{6} = 3(3 \sqrt[3]{6} ) = 9 \sqrt[3]{6} [/tex]

Final answer:

The simplest form of 3 cube root of 162 is 9 cube root 2, with a=9 and b=2 after factoring out the perfect cube within 162.

Explanation:

The student has asked about simplifying the expression 3 cube root of 162 into the form a3 cube root b. The cube root of 162 can be simplified by factoring out cubes. The number 162 is equal to 2 * 81, where 81 is a perfect cube (3³). Thus, we can rewrite 162 as 2 * 3³. When taking the cube root, the cube root of 3³ is 3, and it comes out of the cube root symbol leaving us with 2 inside the cube root. Multiplying this by 3 outside the cube root, we get:

3 * 3 cube root 2 = 9 cube root 2

Therefore, the expression in its simplest form is 9 cube root 2, which follows the format a3 cube root b with a=9 and b=2.

Answer:

5.08 centimeters equals 2 inches

10 inches equals 25.4 centimeters

Step-by-step explanation:

we have to complete the following table.

According to the information contained in table 2.54 centimeters it is equal to 1 inch

The first information we have to complete is how many inches equals 5.08 centimeters

To solve it we apply a simple rule of three

[tex]2.54 centimeters \longrightarrow 1 inch \\5.08 centimeters \longrightarrow x[/tex]

[tex]x=\frac{(5.08)(1)}{2.54} \\x=2[/tex]

5.08 centimeters equals 2 inches

The second information that we have to complete is how many centimeters equals 10 inches

[tex]1 inch \longrightarrow 2.54 centimeters\\10 inches\longrightarrow x \\x=\frac{(10)(2.54)}{1} \\x= 25.4[/tex]

10 inches equals 25.4 centimeters

Answer:may 5cm

Step-by-step explanation:

The answer is:

The fourth option,

[tex](f-g)(x)=11x[/tex]

To solve the problem, we must remember the following property of the functions:

Subtraction of functions:

We have that,

[tex](f-g)(x)=f(x)-g(x)[/tex]

We are given the functions:

[tex]f(x)=4x+3[/tex]

and

[tex]g(x)=3-7x[/tex]

So, calculating we have:

[tex](f-g)(x)=f(x)-g(x)[/tex]

[tex](f-g)(x)=(4x+3)-(3-7x)[/tex]

[tex](f-g)(x)=4x+3-3+7x[/tex]

[tex](f-g)(x)=4x+7x+3-3=11x[/tex]

Hence, the answer is the fourth option,

[tex](f-g)(x)=11x[/tex]

Have a nice day!

Answer:

(D) (f-g)(x) = 11x

Step-by-step explanation:

You have:

f(x) = 4x + 3

g(x) = 3 - 7x

You want to do f(x) - g(x)... you simply do the operation on their definition...

f(x) - g(x) = 4x + 3 - (3 - 7x) = 4x + 3 - 3 + 7x = 11 x + 0

So, (f-g)(x) = 11x

You can verify it by placing a value for x in both equations.  Let's take x = 3

f(x) = 4x + 3 = 4(3) + 3 = 15

g(x) = 3 - 7x = 3 - 7(3) = -18

f(x) - g(x) = 15 - -18 = 33

(f - g)(x) = 11x = 11 (3) = 33

Yes, (f(x) - g(x)) = (f - g)(x) = 33

hey friend it is Observational study because it says that her records hourly temperature over the course of several years in order to make a decision(variations) or to analyse his experiments. ;)

Answer:  B) Observational Study

Step-by-step explanation:

A) Experiment is when the researcher influences the results in some manner

B) Observational Study is when the researcher observes or measures the data but does not influence the results.

C) Survey is when the researches collects data from a sample group to evaluate data about a larger group.

Answer:

James is 1 meter and 63 centimeters tall

Step-by-step explanation:

James is 1 meter and 63 centimeters tall. The first step will be to subtract 1 from his height;

1.63 - 1 = 0.63 meters

The 1 subtracted is equivalent to 1 meter. The next step is to convert the remaining height in meters to centimeters by multiplying by 100;

0.63 * 100 = 63 centimeters

We can thus say, James is 1 meter and 63 centimeters tall or equivalently 163 centimeters tall

Answer:

You answer should be -12.

Step-by-step explanation:

b2−4ac

=(6)^2−4(4)(3)

=−12

Answer: Eden correctly solved the problem.

Step-by-step explanation:

Without specific problem details, it is impossible to provide an accurate answer on who completed the problem correctly and what mistakes the others made.

Without the details of the problem that Emma, Erin, and Eden completed, it is impossible to correctly determine who solved the problem right and what errors the other two students made in their calculations. However, usually, such questions involve displaying similar problems worked out by different students and based on the solution, we would determine who was correct and identify the errors on the part of the other students.

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Answer:

Null (not defined)

Step-by-step explanation:

We cannot divide by 0; division by zero (0) is undefined.  If you take calculus later on, you'll "take limits" and will occasionally end up at 0/0.  Sometimes it's possible to find a numerical value; more often, it's not.

No podemos dividir por 0; La división por cero (0) no está definida. Si toma el cálculo más adelante, "tomará límites" y en ocasiones terminará en 0/0. A veces es posible encontrar un valor numérico; más a menudo, no lo es.

I believe the answer is A.

Multiply the top and the bottom by the conjugate of the bottom.

So, multiply the given problem by (6+sqrt 13). This eliminates the radical from the bottom.

Answer:

-20

Step-by-step explanation:

Unfortunately, there is no shortcut to solve these... you have to do the work, iteration by iteration.

A recursive function is a function that calls itself and takes as input the output of the previous call.

a = -2 a + 4

a1: 1

a2: -2 (1) + 4 = -2 + 4 = 2

a3: -2 (2) + 4 = -4 + 4 = 0

a4: -2 (0) + 4 = -0 + 4 = 4

a5: -2 (4) + 4 = -8 + 4 = -4

a6: -2 (-4) + 4 = 8 + 4 = 12

a7: -2 (12) + 4 = -24 + 4 = -20

so a7 = -20

Answer:

yea it can

Step-by-step explanation:

Final answer:

A table can simultaneously display yes/no (Boolean) and numeric data. Yes/No fields in databases are often checkboxes representing binary choices, while other columns can store numeric data. The data types assigned to these fields determine how they are sorted and displayed in the table.

Explanation:

Yes, it is entirely possible for a table to display both yes/no and numeric data at the same time. The yes/no data is often referred to as binary, Boolean, or Yes/No datatype, and in databases, it commonly appears as a checkbox. These Yes/No fields contain only two possible values, such as Yes/No, True/False, or On/Off. On the other hand, the numeric data represents quantitative information that can be measured and written down with numbers.

Tables are quite versatile and can conveniently organize complex numerical information, alongside qualitative categories, in a structured format using rows and columns. For example, a table can be used to compare different models of a product using criteria represented by both text and numbers, such as product features ('Yes' for having a feature and 'No' for not having it) and specifications like price or weight (numeric data).

It's important to keep in mind that when designing a database, every field is assigned a datatype based on what type of data it holds. For fields containing text, a 'text' datatype is used; whereas for fields containing numeric values, a 'number' datatype is chosen. The datatype affects how the data is sorted and processed within the table.

Answer:

12

Step-by-step explanation:

add 2 and 5

Answer:

she can make 3 fruit cakes  i don't  know the rest

Step-by-step explanation:

The answer is 47 bc that’s what it is

Answer: 7 years

Step-by-step explanation:

year 1    5.75 (million) x 1.16 (16 percent ) = 6.67   motorcycles

year 2    6.67  x 1.16 = 7.7372

year 3     7.74 x  1.16 = 8.9784

year 4      8.98 x 1.16 = 10.4168

year 5     10.42 x  1.16 = 12.0834

year 6     12.09 x 1.16 = 14.0244

year 7    14.02 x 1.16 = 16.2632

year 1    3.5 (million) x 1.25 (25 percent) = 4.375

year 2    4.375 x 1.25 = 5.46875

year 3    5.47   x  1.25 = 6.8359

year 4     6.84   x 1.25 = 8.5449

year 5      8.55 x 1.25 = 10.6875

year 6    10.69 x 1.25 = 13.359375

year 7    13.36 x 1.25 = 16.7

Answer:

 x= 623/7      x =89              89 pages every night

Step-by-step explanation:

A week has 7 days

She reads 623 pages in one week(623 in 7 days)

8378909u4738938576743898567854ijthguiek

Standard wise. Put innnv graphs[tex]\lim_{n \to \infty} a_n[/tex][tex]\pi[/tex]⇒°О Aproximate form. 623= 624=625 and so on ( yeah you get the point ) so it will623x ex is 699

Answer:

9 notebooks=36 or 12 pens=24+ 4 notebooks=12 in total 36

Step-by-step explanation:

first way: 9×4=36

second way: 12×2=24

3×4=12

24+12=36

it is a rational number

Answer:

yes

Step-by-step explanation:

A rational number can be expressed in the form

[tex]\frac{a}{b}[/tex], where a and b are integers

6.333 can be expressed as

6 [tex]\frac{333}{1000}[/tex] = [tex]\frac{6333}{1000}[/tex] ← a rational number

Answer:

41.5 ft

Step-by-step explanation:

From the information given, and definition of midpoint, we know that:

AB = BC = ½ AC

AC = CE = ½ AE

CD = DE = ½ CE

GF = FE = ½ GE

HG = GE = ½ HE

AI = IH = ½ AH

AJ = JI = ½ AI

We also know:

AH = 20

HE = 14

GD = 4

Therefore:

AI = IH = 10

HG = GE = 7

AJ = JI = 5

GF = FE = 7/2

Next, since JB and IC are parallel with HE, we know that AJB and AIC are similar to AEH.  So:

JB / 5 = 14 / 20

JB = 7/2

IC / 10 = 14 / 20

IC = 7

And since DF and CG are parallel to AH, then DFE and DGE are similar to AHE.  So:

DF / (7/2) = 20 / 14

DF = 5

CG / 7 = 20 / 14

CG = 10

Next we know that AIB and AHC are similar, and DEG and CEH are similar.

IB / 10 = CH / 20

CH / 14 = 4 / 7

CH = 8, IB = 4.

We've found all the lengths inside triangle AEH.  Adding them up:

JB + IB + IC + CH + CG + DG + DF

7/2 + 4 + 7 + 8 + 10 + 4 + 5

41.5

The total length of the inside bars is 41.5 ft.

For this case we must solve the following questions:

Question 1:

We must solve the following quadratic equation:

[tex]x ^ 2 + 1 = 0[/tex]

We subtract 1 from both sides of the equation:

[tex]x ^ 2 + 1-1 = -1\\x ^ 2 = -1[/tex]

We apply square root to eliminate the exponent:

[tex]x = \pm \sqrt {-1}[/tex]

The solution is not real.

[tex]x_ {1} = + i\\x_ {2} = - i[/tex]

Answer:

[tex]x_ {1} = + i\\x_ {2} = - i[/tex]

Option D

Question 2:

We must solve the following quadratic equation:

[tex]x ^ 2-10x + 24 = 0[/tex]

We factor the equation, that is, we must look for two numbers that when multiplied give as result 24 and when summed with -10. These numbers are -6 and -4:

[tex]-6-4 = -10\\-6 * -4 = 24\\(x-6) (x-4) = 0[/tex]

The roots are:

[tex]x_ {1} = 6\\x_ {2} = 4[/tex]

ANswer:

[tex]x_ {1} = 6\\x_ {2} = 4[/tex]

Option D

Question 3:

We must complete squares of the following expression:

[tex]x ^ 2-18x = 7[/tex]

We add [tex](\frac {b} {2}) ^ 2 = (\frac {-18} {2}) ^ 2 = (- 9) ^ 2[/tex]

Then:

[tex]x ^ 2-18x + (- 9) ^ 2 = 7 + (- 9) ^ 2\\x ^ 2-18x + (- 9) ^ 2 = 7 + 81\\x ^ 2-18x + (- 9) ^ 2 = 88\\(x-9) ^ 2 = 88[/tex]

Then, to complete the square, add it to both sides [tex](-9) ^ 2 = 81[/tex]

Answer:

Option C

Brackish water is shown as being 0.05 - 3%

2% falls in this range, so it would be Brackish water.

Option 2 in the given figure will have a maximum volume of 5120π cubic meters.

Volume is defined as the space occupied by any object in the three-Dimensions. To find out the volume of the cylinder we need the length and diameter of the cylinder.

The volume of the first figure:-

V = ( π / 4 ) ( d² ) L

V  = ( π / 4 ) ( 10² ) 64  = 1600π cubic meters

The volume of the second figure:-

V = ( π / 4 ) ( d² ) L

V  = ( π / 4 ) ( 32² ) 20  = 5120π cubic meters

The volume of the third figure:-

V = ( π / 4 ) ( d² ) L

V  = ( π / 4 ) ( 10² ) 128  = 3200π cubic meters

We can see that the volume of the third figure is maximum.

Therefore Option 2 in the given figure will have a maximum volume of 5120π cubic meters.

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Answer:

Hourly fee = $15 per hour

Step-by-step explanation:

Royce is taking violin lessons. The instructor charges an initial fee and an hourly fee. The amount Royce pays based on the length of his lesson is shown in the graph below.

To find out hourly fee , we use any two points from the given graph

Hourly fee is the slope of the line

LEts pick (2,52)  and (3,67)

Slope = [tex]\frac{y_2-y_1}{x_2-x_1} = \frac{67-52}{3-2} = 15[/tex]

Hourly fee = $15 per hour

Answer:

$15

Step-by-step explanation:

I play the violin and my lessons i get from school ive been playing for 4 and a half years now i no everything and i can surely  tell you its $15

Answer: Second Option

[tex]\frac{x}{3x-4} = \frac{20}{80}[/tex]

Step-by-step explanation:

The baseball team is composed of bats and balls.

Call x the number of bats and call z the number of balls.

Then we know that:

The number of baseballs is four less than three times the number of bats.

This is:

[tex]z = 3x-4[/tex]      (I)

Then we know that the team is 80% baseballs

This is:

[tex]\frac{x}{z} = \frac{0.2}{0.8}[/tex]    (II)

We substitute the first equation in the second and we have:

[tex]\frac{x}{3x-4} = \frac{0.2}{0.8}\\\\\frac{x}{3x-4} = \frac{20}{80}[/tex]

Answer:

x/(3x-4) = 20/80

Answer:

i cant read it

Step-by-step explanation:

Answer:

The cone is a 1/3 of a cilinder.

hope this helped!

Answer:

The total gain at the end of the second year for both accounts combined is $509.09.

Step-by-step explanation:

Amount saved = $8500

40% of 8500 is saved in saving account; [tex]0.4\times8500=3400[/tex]

Remainder amount in stock plan; [tex]8500-3400=5100[/tex]

Working for savings plan:

[tex]A=p(1+\frac{r}{n})^{nt}[/tex]

Here, p = 3400 ; n = 1 , t = 2 , r = 0.042

Putting values in formula:

[tex]A=3400(1+\frac{0.042}{1})^{2}[/tex]

[tex]A=3400(1+0.042)^{2}[/tex]

A = $3691.60

We get a gain of [tex]3691.60-3400=291.60[/tex] dollars

Working for stock plan:  

The stock plan decreases 3% in the first year and increases 7.5% in the second year.

[tex]5100\times 0.97=4947[/tex]

When increases;

[tex]4947\times1.075=5318.03[/tex]  dollars

So, we get a gain of [tex]5318.03-5100=218.03[/tex] dollars  

Therefore, we have a total gain of [tex]291.06+218.03=509.09[/tex] dollars.

Answer:

5km=5000m

Because the rate to this is: 1:1000

Answer:

Step-by-step explanation:

[tex]\text{5 km}*\dfrac{1000 m}{1 km} = 5000m[/tex]

Notice that the units cancel out. You always want that to happen. Depending on your grade level and your teacher, you can avoid the proportion by doing the question this way. Always make sure you arrange it so that 1 set of units will cancel.