What is the surface area of this triangle prism

Answer:

60

Step-by-step explanation:

if i see it properly, one side is 15, so 15 x 4 = 60

The mean of a dataset is the average or the expected value of the dataset

The mean of the dataset is 4/5

The dataset is given as: {1 1/3, 1/4, 2/3, 1/2, 1 1/4}

The mean of a dataset is calculated as:

[tex]\bar x = \frac{\sum x}{n}[/tex]

So, we have:

[tex]\bar x = \frac{1 \frac 13+ \frac 14+ \frac 23+ \frac 12+ 1 \frac 14}{5}[/tex]

This gives

[tex]\bar x = \frac{4}{5}[/tex]

Hence, the mean of the dataset is 4/5

Read more about mean at:

https://brainly.com/question/14532771

Answer:

I think its 4/5

Answer:
Multiplication -> Division
Squaring -> Square rooting

Cubing -> Taking the cube root

Addition -> Subtraction

Alternative:

* -> /

^2 -> √

+ -> -

^3 -> 3√

Basically, an inverse is a mathematical manipulation where one operation undoes the action of the other.

Step-by-step explanation:

123 +

 12

______

   5              (3+2)

 3                (2+1)

1                    (1)

so

123 + 12 = 135

1 + 1 + 1 = 3

3 + 135 = ??

comment answer

please mark brainest

Answer: m A = 150°

well if what you are talking about is arcs, which is what it seems like, the ans for m A = 150°

Step-by-step explanation:

all of the arcs in a circle add up to 360.
so
360 - 101 - 109 = 150

150 would be your degree

Answer:

A

5(b+2)

Step-by-step explanation:

Solution:

Note that:

Let's reread the sentence carefully.

Five times the sum of b and two.

       ↥                            ↥          ↥

       5                           (b   +    2)

Putting them together gives us 5(b + 2).

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

Explanation:

Let's say the room has walls and ceiling of 350 sq ft in total area.

Sally can paint this area in 5 hours when working alone, so her unit rate is 350/5 = 70 sq ft per hour.

Steve needs 7 hours to do the same job when working alone, so his unit rate is 350/7 = 50 sq ft per hour.

Assuming the two people can work together without hindering each other (i.e. without getting in each other's way), then the two unit rates combine to 70+50 = 120 sq ft per hour.

Divide the total area over this combined unit rate

350/120 = 2.91667 approximately

This rounds to 2.9

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

Alternatively, you can solve the equation

[tex]\frac{1}{5} + \frac{1}{7} = \frac{1}{x}[/tex]

And you should get roughly x = 2.9

Solution:

Option A

Option B

Option C

Option D

Option C is correct.

Answer:

5

Step-by-step explanation:

Part A: 4 x 6 = 24 - 5 = 19 = 19, and v= is equal to or less than. Because 19 is the same as 19, saying it is larger than is false.

Part B (of two):

The answer is incorrect: 4 x 4 = 16 + 3 = 19 = 23.

20 + 3 = 23 = 23 = 4 x 5 = 20 x 5 = 20 x 5 = 20 x 5 = 20 x True, but we should also consider the other possibilities.

Incorrect: 4 x 6 = 24 + 3 = 27 = 23

Incorrect: 4 x 7 = 28 + 3 = 31 = 23

Incorrect: 4 x 8 = 32 + 3 = 35 = 23

As a result, 5 is the correct response!

Answer:

x=7

Step-by-step explanation:

to get 2 they did 12/2=6

you then do 42/6= 7

x=7

Answer:

D) -4

Step-by-step explanation:

Step 1: Divide 24 by 6.

Step 2: Put in the negative sign.

Thus, the answer is D) -4.

Answer:

10³

Step-by-step explanation:

10 x 100 = 10¹ x 10² = 10³

Answer: 10³

Step-by-step explanation: 10³

Answer:

One thousand three hundred forty eight

Step-by-step explanation:

Usando la distribución binomial, hay una probabilidad de 0.8926 = 89.26% de que el guardia de seguridad encuentre al menos uno en la base militar restringida.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Los parámetros son:

En este problema, hay que:

La probabilidad de que el guardia de seguridad encuentre al menos uno en la base militar restringida es dada por:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

En que:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{10,0}.(0.2)^{0}.(0.8)^{10} = 0.1074[/tex]

Por eso:

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.1074 = 0.8926[/tex]

Hay una probabilidad de 0.8926 = 89.26% de que el guardia de seguridad encuentre al menos uno en la base militar restringida.

Puede-se aprender más a cerca de la distribución binomial en https://brainly.com/question/25132113

Answer:

3

Step-by-step explanation:

I used a calculator

Hi! I hope you're enjoying your day!

First of all, 5 times 3 (multiplied by 3) is equal to 15.

Then, 15 over 5 (15 divided by 5) is equal to 3.

Here's an easier way to think about it:

[tex]\bold{\displaystyle\frac{5*3}{5}}[/tex]

The 5's cancel, so we're left with 3.

Hence, the answer's

[tex]\boxed{\boxed{\bold{3}}}[/tex]

Hope everything is clear.

If you have any questions, please ask.

#LearningIsFun

[tex]\rule{250}{3}[/tex]

Answer:

1. 32x3=96

2. 384

3. 262 (I think)

4. now let's do cross multiplication here one day =16 7days =n, n=16*7=112

5. 14 cups

6. 7 pints

7. 3.5 quarts

8. 6 days. There are 4 quarts in 1 gallon so there are 16 quarts in all. Since they drinks 3 quarts everyday, we divide 16 by 3. The answer is 5.3 but I rounded it up because the question asks how many days will it take for the family to finish all the 4 gallons.

Step-by-step explanation:

Answer:

college

Step-by-step explanation:

An equation can be used to define any non-vertical line in the Cartesian Coordinate system. The correct option is C.

A nonvertical line is a line that has a slope and is defined by its steepness.

It can be represented by a straight line equation y = mx+c, here m is the slope and c is the y-intercept.

The slope can be determined by using two points on the line (x₁,y₁) and (x₂,y₂)

m = (y₂-y₁)/(x₂-x₁)

From the options given, An equation can be used to define any non-vertical line in the Cartesian Coordinate system.

The correct option is C.

The complete question is attached with the answer.

To know more about Nonvertical Line

https://brainly.com/question/14517469

#SPJ2

Answer:

here’s what I got

Step-by-step explanation:

Answer:

50 + 40x

Step-by-step explanation:

Answer:

y - 2= -8(x - 1)

(I believe so)

Step-by-step explanation:

Since the formula of a point-slope form is y-y1=m(x-x1), you should just substitue the values into the formula.

(If needed simplified version : y-2=-8x+8)

Answer:

7.6 cm

Step-by-step explanation:

The formula to find the area of the parallelogram is :

Area = Base × Height

They have already given,

Area = 91.2 cm²

Base = 12 cm

Height =?

To find the height, let the height be h.

Let us solve it now.

Area = Base × Height

91.2 cm² = 12 cm × h

Divide both sides by 12.

7.6 cm = h

Therefore, the height is 7.6 cm.

Answer:

1st option

Step-by-step explanation:

Complementary angles sum to 90°

∠ BFC and ∠ AFB form a right angle and sum to 90°

These angles are therefore complementary

Answer:

Step-by-step explanation:

1960 = 88,000,000

2010 = 242,000,000

formula: (new-old)/old* 100

(242,000,000 - 88,000,000)/88,000,000 * 100

154,000,000/88,000,000*100

1.75*100

=1.75%

I'M SORRY NOT SURE OF THE SECOND PART

Answer:

33.3333333%

Step-by-step explanation:

Let's set up the equation:

x             27

---     =    ---

100          81

100 x 27 = 2700

2700 ÷ 81 = 33.3333333

So x equals 33.3333333 of a hundred, or in other words, 33.3333333%

Therefore 27 is 33.3333333% of 81.

-kiniwih426

Answer:

y = 6x - 1

Step-by-step explanation:

Hope it helps.

Answer:

Given Integral is:

[tex] \\ { \displaystyle{ \int{ \large{ \rm{ \frac{1}{x( {x}^{3} + 1) }dx }}}}} \\ [/tex]

Can be written as:

[tex] \\ { \large{ \longrightarrow{ \displaystyle{ \int { \rm{\frac{3 {x}^{2} }{3 {x}^{2} \times x( {x}^{3} + 1) } dx}}}}}}[/tex]

[tex] \\ { \large{ \longrightarrow \frac{1}{3} \: { \displaystyle{ \int{ \rm { \frac{ {3x}^{2} }{ {x}^{3} ( {x}^{3} + 1)} dx}}}}}}[/tex]

Now to evaluate this integral , we use the method of Substitution.

So, Substitute:

[tex] \: \: \: \: \: \: \: \: \: \: \: \: { \rightarrow \: {\large{\rm{ {x}^{3} = y}}}}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \rightarrow \: { \large{ \rm{3 {x}^{2} dx = dy}}}[/tex]

So, on Substituting the values in above integral, we get:

[tex] \\ { \large{ \longrightarrow{ \frac{1}{3} \: \displaystyle{ \int{\rm{ \frac{1}{y(y + 1)} }}}}}}[/tex]

[tex] \\ { \large{ \longrightarrow{ \frac{1}{3} \: { \displaystyle{ \int{ \rm{ \frac{1 + y - y}{y(y + 1)}dy }}}}}}}[/tex]

[tex] \\ { \large{ \longrightarrow{ \frac{1}{3} \: { \displaystyle{ \int{ {\rm{ \frac{y + 1 - y}{y(y + 1)}dy }}}}}}}}[/tex]

[tex] \\ { \large{ \longrightarrow{ \frac{1}{3} \: { \displaystyle{ \int{ \rm{ \left[ \frac{1}{y} - \frac{1}{y + 1} \right ] }dy}}}}}}[/tex]

[tex]{ \large{ \longrightarrow{ \rm{ \frac{1}{3} \left( log |y| - log |y + 1| \right) + c}}}}[/tex]

[tex]{ \large{ \longrightarrow{ \rm{ \frac{1}{3} log | \frac{y}{y + 1} | + c }}}}[/tex]

[tex]{ \large{ \longrightarrow{ \rm{ \frac{1}{3} log | \frac{ {x}^{3} }{ {x}^{3} + 1 } | + c }}}}[/tex]

Hence,

[tex] \\{ \boxed{ \pink { \large{ \displaystyle{ \int{ \rm{ \frac{dx}{x ({x}^{3 } + 1 )} = \frac{1}{3 } log{ \huge{ |}} \frac{ {x}^{3} }{ {x}^{3} + 1} { \huge{ | }} + c}}}}}}}[/tex]

After applying algebraic substitution, partial fraction decomposition and integration rules the integral of the non-trascendental expression [tex]\frac{1}{x\cdot (x^{3}+1)}[/tex] is equal to the trascendental expression [tex]I = \frac{1}{3}\cdot \ln \left|\frac{x^{3}}{x^{3}+1} \right| + C[/tex].

According to the statement we have an integrable rational expression formed by non-trascendental expressions, that is, expressions whose behavior is described solely by algebraic components. This expression can be solved by algebraic substitution after making the following modifications:

[tex]\int {\frac{dx}{x\cdot (x^{3}+1)} } = \int {\frac{3\cdot x^{2}}{3\cdot x^{3}\cdot (x^{3}+1)} } \, dx = \frac{1}{3}\int {\frac{3\cdot x^{2}}{x^{3}\cdot (x^{3}+1)} } \, dx[/tex]

And the following substitutions are used: u = x³, du = 3 · x² dx

[tex]\frac{1}{3} \int {\frac{du}{u \cdot (u+1)} }[/tex]

This is expression is equivalent to the following by partial fraction decomposition:

[tex]-\frac{1}{3}\int {\frac{du}{u+1} } \, du +\frac{1}{3}\int {\frac{du}{u} }[/tex]

And the integral is now solved:

[tex]I = -\frac{1}{3}\cdot \ln |u+1| + \frac{1}{3}\cdot \ln |u| + C[/tex]

[tex]I = \frac{1}{3}\cdot \ln \left|\frac{u}{u+1} \right| + C[/tex]

[tex]I = \frac{1}{3}\cdot \ln \left|\frac{x^{3}}{x^{3}+1} \right| + C[/tex]

Where C is the integration constant.

After applying algebraic substitution, partial fraction decomposition and integration rules the integral of the non-trascendental expression [tex]\frac{1}{x\cdot (x^{3}+1)}[/tex] is equal to the trascendental expression [tex]I = \frac{1}{3}\cdot \ln \left|\frac{x^{3}}{x^{3}+1} \right| + C[/tex].

To learn more on integrals, we kindly invite to check this: https://brainly.com/question/22008756 #SPJ5

Answer:

there is no graph and y=y makes no sense

Step-by-step explanation:

Answer:

(1, -3)

Step-by-step explanation:

To find the solution of the system of linear equations, first you need to set them equal to each other and solve.

y = x-4

y = -2x-1

x-4 = -2x-1

x + 2x = -1 + 4

3x = 3

x = 1

To find the corresponding y-value, plug the calculated x into one of the equations (it doesn't matter which one you choose because they will give the same result).

y = x-4

y = 1 - 4

y = -3

If the graph hadn't been provided, you could check this problem by plotting both equations and determining their intersection. Since the graph was provided you can just compare your results to the shown intersection.

Answer: (1,-3)

Step-by-step explanation: The solution of a system of linear equation is where the two lines intersect, in this case, (1,-3). (that's why the dot is there)

Answer:

See explanation below

Step-by-step explanation:

Let's use Q10 as an example and you will work on Q11-12 as they are the same.

I believe the middle column (5x-4) wants you to substitute the given x, so:

Q10.1: 5(-2)-4

Q10.2: 5(4)-4

Q10.3: 5(0)-4

Q10.4: 5(1)-4

The right most column (f(x)) should be asking you the answers from your middle column, so:

Q10.1: -14

Q10.2: 16

Q10.3: -4

Q10.4: 1

As for the domain and range, let's define these two names in case you haven't learnt them:

Domain: What reasonable x values can be inputted into the function.

Range: What reasonable results will be shown after calculating.

In these case, you can input any real numbers into x as you like into the function, the results will always be other real numbers.

Hence, for Q10-12, D and R should be "All real numbers"

Just some extra info, Let the function f(x) be [tex]\frac{1}{x+1}[/tex]. Since the denominator cannot be 0 in a fraction, we say that the domain of x is "All real numbers except -1" as [tex]-1+1 = 0[/tex] and [tex]\frac{1}{0}[/tex] is undefined.