If (x, 1/100) lies on the graph of y = 10^x, then x =

2
-1/2
-2

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]

Answer:

12

Step-by-step explanation:

add 2 and 5

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.

Answer:

You answer should be -12.

Step-by-step explanation:

b2−4ac

=(6)^2−4(4)(3)

=−12

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:

The vertex that maximize the problem is (2,000,4,000)

Step-by-step explanation:

we have

[tex]z=10x+6y[/tex]

The vertex of the shaded region are

A(0,0), B(4,000,0),C(2,000,4,000), D(0,6,000)

Substitute the value of x and the value of y of each vertex in the z equation to find the solution

case A) A(0,0)

[tex]z=10(0)+6(0)=0[/tex]

case B)  B(4,000,0)

[tex]z=10(4,000)+6(0)=40,000[/tex]

case C)  C(2,000,4,000)

[tex]z=10(2,000)+6(4,000)=44,000[/tex]

case D)  D(0,6,000)

[tex]z=10(0)+6(6,000)=36,000[/tex]

therefore

The vertex that maximize the problem is (2,000,4,000)

Answer:

C) (2000, 4000)

Step-by-step explanation:

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.

(I just did this quiz lol)

Answer:

42 yards

Step-by-step explanation

we know that

The volume of the triangular prism is equal to

where

B is the area of the triangular base

H is the height of the prism

Convert 9 Ft to yd

Remember that

1 ft=1/3 yd

9 ft=9*(1/3)=3 yd

Find the area of the base B

we have

substitute the values in the formula

v=BH

v=(6)(7)=42 yd

Answer:

42

Step-by-step explanation:

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:

-216 x^3

Step-by-step explanation:

(-6x)^3

This is really (-6x)* (-6x) * (-6x)

-216 x^3

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:

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:

(144) is the homogeneous mixture

Answer:

Ac = 144

Step-by-step explanation:

From the figure we can see two similar triangles,Ratio of sides of similar triangles are equal.

To find the value of x

From the figure we can write,

7/84 = x/(156 - x)

1/12 = x/(156 - x)

156 - x = 12x

13x = 156

x = 156/13 = 12

To find the value of AC

AC = 156 - x

 = 156 - 12

 = 144

Therefore AC = 144

Step-by-step explanation:

[tex]f(x)=3x-4\\\\\text{Put the values of x from table to the equation of}\ f(x):\\\\f(-3)=(3)(-3)-4=-9-4=-13\\f(-1)=(3)(-1)-4=-3-4=-7\\f(0)=(3)(0)-4=0-4=-4\\f(2)=(3)(2)-4=6-4=2\\f(5)=(3)(5)-4=15-4=11\\\\\begin{array}{c|c}x&f(x)\\-3&-13\\-1&-7\\0&-4\\\bold{2}&\bold{2}\\5&11\end{array}[/tex]

[tex]g(x)=x^2-2\\\\g(-3)=(-3)^2-2=9-2=7\\g(-1)=(-1)^2-2=1-2=-1\\g(0)=0^2-2=0-2=-2\\g(2)=2^2-2=4-2=2\\g(5)=5^2-2=25-2=23\\\\\begin{array}{c|c}x&g(x)\\-3&7\\-1&-1\\0&-2\\\bold{2}&\bold{2}\\5&23\end{array}[/tex]

f(x) = g(x) for x = 2 (look at the tables)

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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[tex]\bf \cfrac{3}{4x}+\cfrac{1}{20x}\impliedby \textit{so let's use an LCD of 20x} \\\\\\ \cfrac{(5)3~~+~~(1)1}{20x}\implies \cfrac{15+1}{20x}\implies \cfrac{16}{20x}\implies \cfrac{4}{5x}[/tex]

Answer:

354.

Step-by-step explanation:

Exponential growth:

380 = 200e^(k*9)     where k is a constant to be found.

e^9k = 380/200 = 19/10

ln e^9k = ln 1.9

9k = ln 1.9

k = ln 1.9 / 9

k = 0.071

After 8 hours:

Number of bacteria =

200*e^(8*0.071)

= 354.

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

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.

I believe you answer would be D

Answer:

None of them.

Step-by-step explanation:

you want to find the least value of x for which f(x)>g(x). Then replacing both expressions we have

[tex]4x>5x+2\rightarrow -2>5x-4x=x[/tex] . This means that for f to be greater than g, x should be less than -2. Since we are considering x>0, given that it represents years (which are always positive), the question does not have a correct answer.

Semd a pic of a graph bc I dont have paper

The point (-3,4) when reflected across the x-axis results in new coordinates (-3, -4), changing the sign of the y-coordinate.

The question asks for the new coordinates of a point after being reflected across the x-axis. Reflecting a point across the x-axis changes the sign of the y-coordinate but leaves the x-coordinate unchanged. Therefore, if we have a point (-3, 4) and we reflect it across the x-axis, the x-coordinate remains -3, and the y-coordinate, which is 4, will become -4, resulting in the new coordinates (-3, -4).

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:

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:

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

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:

2h+2f=10.50

4h+3f=19.50

The equation that could be used to determine the cost of the hamburgers and French fries is,

2h+2f=10.50

4h+3f=19.50

We have given that,

Aron goes to his favorite hamburger joint with a friend and orders two hamburgers and two French fries.

His total cost is $10.50.

The next week, he goes with two other friends.

They order four hamburgers and three French fries.

This time the total is $19.50.

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.

Therefore the equation that could be used to determine the cost of the hamburgers and French fries is,

2h+2f=10.50

4h+3f=19.50

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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

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:

You multiply the L, W, and H. that should you to your answer!

Hope this helps! :)

Step-by-step explanation:

Yup (l x w x h) = volume of prism.

(L x w) = area