What is the surface area of the prism?

Length: 15mm

Width: 3mm

Height: 4mm

Answers

Answer 1

Answer:

234mm

Step-by-step explanation:


Related Questions

????????????????????????????

Answers

X= 70 degrees
Y= 70 degrees

Understand that every triangle has three angles and they add up to 180 degrees.

If I split this triangle in half the total degrees of each individual piece will be 90 degrees. A split in the isosceles triangle will also cause the 40 degrees to halved (thus, how I got 20 degrees in our 90 triangle).

Since we are dealing with an isosceles triangles two of the sides will be equal (hence, the dashes on the triangles sides). Therefore, x and y will also be equal.

Now if our 40 degreed angle is now 20 degrees, we have an unknown angle and the triangle in total now adds up to 90 degrees we can set up an equation.

20 + y = 90

Y = 70

Since X and Y are equal, X will also be 70.

If we return to to the isosceles triangle before it was split (use your photo for reference) and we add 40 +70 + 70 we will get 180 degrees. Which is the standard total of degrees for any triangle that is not a 90 degreed triangle.

I hope this helps. Feel free to ask questions.

Below I uploaded my work.

When placed near each other, blocks of metal A and B are magnetically attracted to each other, while blocks B and Care repelled by

each other.

Therefore, blocks A and C will be

A)

repelled by each other.

B)

attracted to each other.

C)

unaffected by each other.

D)

Not enough information given

Answers

Answer:

A) repelled by each other, I did this on usa testprep

Step-by-step explanation:

Answer:

b atracted to each other

Step-by-step explanation:

got it right on usatestprep

Sue says the expressions for 4y and y⁴ are Equivalent when y = 5. Is She Correct? Please Justify Your Answer.​

Answers

Answer:

Sue is incorrect

Step-by-step explanation:

Just substitute in the values[tex]4\times 5=20\\5^{4}=625[/tex]Since 20 does NOT equal 625, Sue is incorrect

The ages of the people in attendance at the showing of an award-winning foreign film are shown below. a graph shows age of attendees (in years) labeled 0 to 20 thru 61 to 80 on the horizontal axis and frequency on the vertical axis. 0 to 20 years at frequency 15. 20 to 40 years at frequency 40. 41 to 60 years at frequency 40. 61 to 80 years at frequency 15. which statement must be true according to the histogram? the data is symmetrical, showing that the majority of the attendees were between the ages of 30 and 50. the data is symmetrical, showing that the majority of the attendees were between the ages of 21 and 60. the data is skewed, showing that the majority of the attendees were between the ages of 30 and 50. the data is skewed, showing that the majority of the attendees were between the ages of 21 and 60.

Answers

Answer:

B

Step-by-step explanation:

i got it right on edge

Answer:

It is B

Step-by-step explanation:

The strength of an electrical current x flowing through the electric circuit shown is expressed as a function of time t and satisfies the following differential equation:
[tex]\displaystyle \large{L \frac{dx}{dt} + Rx = V}[/tex]
Find the strength of the electrical current x after switch S is closed at time t = 0. Assume that L, R and V are positive constants, and also that x = 0 when t = 0. Then, find [tex]\displaystyle \large{ \lim_{t \to \infty} x}[/tex]
Topic: Application of Differential Equation Reviews

Answers

Answer:

The current of the circuit at t = 0 is equal to 0.

If we take the limit as t approaches infinity, the current is equal to ε/R or V/R.

General Formulas and Concepts:

Calculus

Differentiation

DerivativesDerivative Notation

Derivative Property [Multiplied Constant]:

[tex]\displaystyle (cu)' = cu'[/tex]

Derivative Property [Addition/Subtraction]:

[tex]\displaystyle (u + v)' = u' + v'[/tex]

Derivative Rule [Basic Power Rule]:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹

Slope Fields

Separation of Variables

Integration

Integrals

Integration Rule [Reverse Power Rule]:

[tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Rule [Fundamental Theorem of Calculus 1]:

[tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]

Integration Property [Multiplied Constant]:

[tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Integration Method: U-Substitution

Electricity

Ohm's Law: V = IR

V is voltage (in Volts)I is current (in Amps)R is resistance (in Ohms)

Circuits

Circuit SymbolsKirchhoff's Laws (Loop and Junction Rule)Inductors

Step-by-step explanation:

*Note:

In the given equation, our variable of differentiation is x. I will rewrite this as current I for physics notation purposes.

Step 1: Define

Identify given.

[tex]\displaystyle L \frac{dI}{dt} + RI = V[/tex]

[Assuming switch S is closed] Recall that an inductor is used in a circuit to resist change. After a long period of time, when it hits steady-state equilibrium, we expect to see the inductor act like a wire.

Step 2: Find Current Expression Pt. 1

[Kirchhoff's Law] Rewrite expression:
[tex]\displaystyle L \frac{dI}{dt} = V - IR[/tex]Rewrite expression by dividing R on both sides:
[tex]\displaystyle \frac{L}{R} \frac{dI}{dt} = \frac{\mathcal E}{R} - I[/tex]

Step 3: Find Current Expression Pt. 2

Identify variables for u-substitution.

Set u:
[tex]\displaystyle u = \frac{\mathcal E}{R} - I[/tex][u] Differentiation [Derivative Rules and Properties]:
[tex]\displaystyle du = - \, dI[/tex]

Step 4: Find Current Expression Pt. 3

[Kirchhoff's Law] Apply U-Substitution:
[tex]\displaystyle - \frac{L}{R} \frac{du}{dt} = u[/tex][Kirchhoff's Law] Apply Separation of Variables:
[tex]\displaystyle \frac{1}{u} \, du = -\frac{L}{R} \, dt[/tex]

Recall that our initial condition is when t = 0, denoted as u₀, and we go to whatever position u we are trying to find. Also recall that time t always ranges from t = 0 (time can't be negative) and to whatever t we are trying to find.

[Kirchhoff's Law] Integrate both sides:
[tex]\displaystyle \int\limits^u_{u_0} {\frac{1}{u}} \, du = \int\limits^t_0 {- \frac{R}{L}} \, dt[/tex][Kirchhoff's Law] Rewrite [Integration Property]:
[tex]\displaystyle \int\limits^u_{u_0} {\frac{1}{u}} \, du = - \frac{R}{L} \int\limits^t_0 {} \, dt[/tex][1st Integral] Apply Logarithmic Integration:
[tex]\displaystyle \ln | u | \bigg| \limits^u_{u_0} = - \frac{R}{L} \int\limits^t_0 {} \, dt[/tex][2nd Integral] Apply Integration Rule [Reverse Power Rule]:
[tex]\displaystyle \ln | u | \bigg| \limits^u_{u_0} = - \frac{R}{L} t \bigg| \limits^t_0[/tex]Apply Integration Rule [Fundamental Theorem of Calculus 1]:
[tex]\displaystyle \ln | \frac{u}{u_0} | = - \frac{R}{L} t[/tex]Apply e to both sides:
[tex]\displaystyle e^{\ln | \frac{u}{u_0} |} = e^{- \frac{R}{L} t}[/tex]Simplify:
[tex]\displaystyle \frac{u}{u_0} = e^{- \frac{R}{L} t}[/tex]Rewrite:
[tex]\displaystyle u = u_0 e^{- \frac{R}{L} t}[/tex]

Recall that our initial condition u₀ (derived from Ohm's Law) contains only the voltage across resistor R, where voltage is supplied by the given battery. This is because the current is stopped once it reaches the inductor in the circuit since it resists change.

Back-Substitute in u and u₀:
[tex]\displaystyle \frac{\mathcal E}{R} - I = \frac{\mathcal E}{R} e^{- \frac{R}{L} t}[/tex]Solve for I:
[tex]\displaystyle I = \frac{\mathcal E}{R} - \frac{\mathcal E}{R} e^{- \frac{R}{L}t}[/tex]

Step 5: Solve

If we are trying to find the strength of the electrical current I at t = 0, we simply substitute t = 0 into our current function:

[tex]\displaystyle\begin{aligned}I(t) & = \frac{\mathcal E}{R} - \frac{\mathcal E}{R} e^{- \frac{R}{L}t} \\I(0) & = \frac{\mathcal E}{R} - \frac{\mathcal E}{R} e^{- \frac{R}{L}(0)} \\& = \boxed{\bold{0}}\end{aligned}[/tex]

If we are taking the limit as t approaches infinity of the current function I(t), we are simply just trying to find the current after a long period of time, which then would just be steady-state equilibrium:

[tex]\displaystyle\begin{aligned}I(t) & = \frac{\mathcal E}{R} - \frac{\mathcal E}{R} e^{- \frac{R}{L}t} \\\lim_{t \to \infty} I(t) & = \frac{\mathcal E}{R} - \frac{\mathcal E}{R} e^{- \frac{R}{L}(\infty)} \\& = \boxed{\bold{\frac{\mathcal E}{R}}}\end{aligned}[/tex]

∴ we have found the current I at t = 0 and the current I after a long period of time and proved that an inductor resists current running through it in the beginning and acts like a wire when in electrical equilibrium.

---

Topic: AP Physics C - EMAG

Unit: Induction

A researcher is interested in whether blind Braille readers could be taught to read faster using the same techniques as sighted readers. He has blind adults complete a reading speed test before and after a six-week speed-reading course. In the beginning of the study, a randomly selected group of 121 blind Braille readers scored an average of 261 words per minute on the reading speed test. Since the sample size is larger than 30, the researcher can assume that the sampling distribution of MD is normal. He plans to use a repeated-measures t test. The researcher identifies the null and alternative hypotheses as:

Answers

The md issue where did we go in today and I was just talking about it and then you told me that I wasn’t doing that I don’t want it lol I’m sorry I was so bad for this dude but I’m so sorry to hear that I’m sorry to bother with it I got the same text saying it ain’t nothing wrong but it’s just a little slow and it’s just like that it’s like I can’t do

If x = 18, evaluate the following expression:
12 + 3

Answers

Answer
30

Explanation
12+18=30

[tex]3^x - ^2 = 3^7[/tex](05.01 MC) Solve 3x − 2 = 37.

Answers

Answer:

x=㏒3(2189)

Step-by-step explanation:

What’s The Answer Of This? Please HELP FAST

Answers

Answer:

those are corrisponding angles which means they equal each other making <H and <G both 57 degrees

Ethan donated $15.00 of the $50.00 he received as a gift.
Which decimal represents the fraction of $50.00 Ethan
donated?
A. 0.15
B. 0.3
C. 0.35
D. 0.5
(WILL MARK BRAINLIEST*

Answers

Answer:

0.3

Step-by-step explanation:

15/50=0.3

OR

(15*2)/(50*2)

30/100=0.3

There are 100 students in a band. Forty percent are 12 years old, 1/2 are 13 years old, and the rest are 14 years old. Write the portion of the band for each age

Answers

Answer:

40x 12 year olds
50x 13 year olds
10x  14 year olds

Step-by-step explanation:

40% of 100 is 40
50% of 100 is 50
100%-90%=10%, 10% of 100 = 10

Students of 12 years are 40%, students of 13 years are 50% and students of 14 years are 10%.

What is percent?

A percentage is a figure or ratio that can be stated as a fraction of 100. If we need to calculate the percentage of a number, we must divide it by its full value and then multiply it by 100. As a result, the percentage is one part in one hundred. "Per 100" is short for "per percent." It is represented by the symbol "%".

Given, total students in band  = 100

40% are of  12 years

40% of 100 = 0.4 x 100  = 40

12 years student = 40 = 40%

1/2 of 13 years

1/2 of 100 = 1/2 x 100 = 50 =50%

13 years of student = 50

and rest are 14 years

100 - 50 - 40 = 10

14 years student = 10 = 10%

Hence 40% students are 12 years, 50% are of 13 years and 10% of students are of 14 years.

Learn more about percent;

https://brainly.com/question/28840349

#SPJ2

Solve 196x2 + 25 = 0 by using square roots.

Answers

Sq of 196 is 14 then x2 = 28 then 25= 5

Math Practices and Problem Sol
17. Number Sense Using three different
numerators, write an equation in which
three fractions, when added, have a
sum of 1.

Answers

Answer:

First choose a common denominator, here i picked 11 then we think of 3 diffrent numbers so that their sum is 11 such as 2+4+5=11 so a possible equasion would be

Step-by-step explanation:

Use the regression equation to predict the sales of skin diving and scuba equipment in the year 2008

Answers

Answer:c

Step-by-step explanation:

f(3) if f(x) = 2x + 5 =​

Answers

Answer:

11

Step-by-step explanation: Uh- if X=3 then it would be 2(3) +5. 2x3 is 6, and 6+5 is 11.

Answer:

11

Step-by-step explanation:

2(3) + 5

simplify

6 + 5 = 11

hope this helps

In a group, more than 1/2 are boys, but they are less than 2/3 of the group. Can there be:(In each case, if your answer is “yes”, find out how many boys there were. Explore all possible cases). Could there be 5 kids

Answers

Using proportions, it is found that Yes, there could be 5 kids, with 3 boys and 2 girls.

What is a proportion?

A proportion is a fraction of a total amount.

In this problem, supposing a total of 5 kids:

More than 1/2 = 50% are boys, hence there are more than 2.5 boys, as 0.5 x 5 = 2.5.Less than 2/3 = 66.67% are boys, hence there are less than 3.33 boys, as 0.6667 x 5 = 3.33.

Hence, Yes, there could be 5 kids, with 3 boys and 2 girls.

More can be learned about proportions at https://brainly.com/question/24372153

If a baseball card appreciates exponentially in value by 50% over 10 years, what is its annual appreciation (growth) rate? Please use a calculator, and answer to the nearest whole percent. ​

Answers

we can use hmmm any value per se for the card, hmmm say let's use $2, if the baseball card was initially 2 bucks, and after 10 years it went up in value by 50%, well 50% of 2 is 1, so the new value is 3 bucks, then

[tex]\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\dotfill &3\\ P=\textit{initial amount}\dotfill &2\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &10\\ \end{cases} \\\\\\ 3=2(1 + \frac{r}{100})^{10}\implies \cfrac{3}{2}=(1 + \frac{r}{100})^{10}\implies \cfrac{3}{2}=(\frac{100+r}{100})^{10} \\\\\\ \sqrt[10]{\cfrac{3}{2}}=\cfrac{100+r}{100}\implies 100\sqrt[10]{\cfrac{3}{2}}=100+r \\\\\\ 100\sqrt[10]{\cfrac{3}{2}}-100=r\implies 4\approx r[/tex]

What was one of the main causes of the Great Depression?

a. The overuse of credit
b. The under-utilization of money
c. WWII
d. Excessive government borrowing

Answers

Answer:

B

Step-by-step explanation:

A radioactive element decays at a rate of 5.25% annually. There are 35 grams of the substance
present. How much of the substance remains after 12 years (Round to the nearest hundredth)?
TEKS A2.5(B)(D)

Answers

Answer:

18.32 gm

Step-by-step explanation:

= 35 ( 1-.0525)^12 = 18.32 gm remain

use an equation to find the value of k so that the line that passes through (1,3) and (5,k) has a slope of m=2.

Answers

[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{k}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{k}-\stackrel{y1}{3}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{1}}}~~ = ~~\stackrel{\stackrel{m}{\downarrow }}{2} \\\\\\ \cfrac{k-3}{4}=2\implies k-3=8\implies k=11[/tex]

please help me, thank you if you do

Answers

Answer:

Step-by-step explanation:

1. The sequence is not arithmetic.

2. d=-30

The price of a game console that regularly sells for $800 is reduced to $616. By what percentage is the price reduced?

Answers

Answer:23%

Step-by-step explanation: 800-616= 184

Discount is 184

percentage is 184/800 ×100/1 =23%

Which accounting principle states that a business and its owner are to be treated as separate legal entities

Answers

the economic entity concept

Answer:

economic entity principle

Step-by-step explanation:

What is the equation of a line that passes through the hypotenuse of the right triangle in the graph?

A. 1/5x
B. y=5x
C. y=-5x
D. y=2/5x

Answers

Answer:

y = 5x

Step-by-step explanation:

Hey there!

To start with the hypotenuse of a triangle is the longest side of it

and to get an equation of a line you would use

y = mx + b

where m is the slope

and b is the y-intercept

to get the slope you would do rise over run

rise/run

take 2 points and see how much it rises and runs to the next point

you would then get 5

then we figure out the y-intercept where the line intercepts the y-axis

in this case 0

In conclusion the answer is y = 5x + 0

we can also remove the 0 because it is unnecessary

y = 5x

What are the solutions of 12 - x2 =0?
O x=2/3 and x = -2/3
O x= 3, and x = -373
O x= 4,3 and x = -4/3
O x=6 and x = -6

Answers

I hope that i helped ;D

A baseball field in the shape of a square is shown. the corners are labeled home plate, first base, second base, and third base. the distance between home plate and first base is 90 feet. a baseball field is in the shape of a square. the distance between each pair of bases along the edge of the square is 90 feet. what is the distance between home plate and second base? startroot 2 endroot feet

Answers

Answer:

  90√2 feet

Step-by-step explanation:

The geometry of the problem can be modeled by a right triangle with sides 90 feet. The length of the hypotenuse is the distance from home plate to 2nd base. The Pythagorean theorem tells you that distance (c) is ...

  c² = a² +b²

  c² = (90 ft)² +(90 ft)² = 8100 ft² +8100 ft²

  c² = 16200 ft²

  c = √16200 ft = 90√2 ft

The distance between home plate and second base is 90√2 feet.

Answer:

A baseball field is in the shape of a square. The distance between each pair of bases along the edge of the square is 90 feet. What is the distance between home plate and second base?

(90) StartRoot 2 EndRoot feet

Step-by-step explanation:

4/9÷1/2 as a fraction (simplest form)

Answers

Answer:

8/9

Step-by-step explanation:

4/9 ÷ 1/2 =  dividing by 1/2 is the same as multiplying by its reciprocal 2/1

4/9 × 2/1 = (4×2)/(9×1) multiply numerators (top numbers) and multiply denominators (bottom numbers)

Factor each polynomial. 20 points

5a^2b^2 + 10ab +25a
8m^2n^2 - 24mn^3 +16mn
9xz^3 + 18yz^2 + 24z^2
16x^6y + 16x^2y^4 + 32x^3y^2

Answers

So, here we are to factor the polynomials :

[tex]\\ 1. \sf \qquad5a^2b^2 + 10ab +25a\\ \\[/tex]

[tex] \longrightarrow\sf \qquad5a(ab^2 + 2b +5)\\ \\[/tex]

[tex]\\ 2. \sf \qquad 8m^2n^2 - 24mn^3 +16mn\\ \\[/tex]

[tex] \longrightarrow\sf \qquad 8mn(mn - 3n^2 +2)\\ \\[/tex]

[tex]\\ 3. \sf \qquad 9xz^3 + 18yz^2 + 24z^2\\ \\[/tex]

[tex]\longrightarrow \sf \qquad 3z(3xz^2 + 6yz+ 8z)\\ \\[/tex]

[tex]\\ 4. \sf \qquad 16x^6y + 16x^2y^4 + 32x^3y^2\\ \\[/tex]

[tex] \longrightarrow \sf \qquad 16 {x}^{2} y(x^4 + y^3 + 2xy)\\ \\[/tex]

Some points to know :

Factorisation is the reverse process of multiplucation.

The Factorisation is the process of finding two or more expressions such that their product is the given expression.

Emily and Jennifer are playing a game with dice. Each one has a die. If each one rolls one and the sum of the numbers are 7 or 11 they win. If the sum is 2, 3 or 12 they lose. If it is any other number there is no winner or loser.

Find the sample space by either creating a tree or a chart/table. (remember, each die has the numbers 1-6 on it).


Then find:
P (they win - if the sum is 7 or 11)
P (they lose - if the sum is 2, 3 or 12)
The total sample space. HINT: How many total possible combinations?

Answers

This experiment has 36 possible combinations, and we will see that:

P(they win) = 0.22P(they loose) = 0.11

How to get the probabilities?

First, we need to find the total number of outcomes.

We have two dice with 6 outcomes each, so the total number of outcomes of the experiment of tossing the two dice is:

C = 6*6 = 36

Such that the sample space is all the numbers between 2 and 12 (because our variable is the sum of the two values).

Now, to get the probability of winning we need to count the number of outcomes that add to 7 or 11, these are:

(Add to 7)

dice 1    dice 2            

   1            6                  

  2            5                  

   6           1

   5            2

    4           3

    3            4

(Add to 11)

dice 1    dice 2          

  5            6

  6             5

So there are 8 outcomes, then the probability of winning is:

P = 8/36  =0.22

The probability of losing is when the sum adds to 2, 3, or 12.

The outcomes that add to that:

(Add to 2)

dice 1    dice 2    

1               1

(Add to 3)

dice 1    dice 2    

 1              2

 2              1

(Add to 12)

dice 1    dice 2    

  6            6

There are 4 outcomes that add to these values, so the probability of losing is:

P = 4/36 = 0.11

If you want to learn more about probability, you can read:

https://brainly.com/question/251701

Help!! Khan academy geomtry practice

Answers

Answer:

33.51 units³

Step-by-step explanation:

Volume of a sphere is given by the formula :

V = [tex]\frac{4}{3} \pi r^{3}[/tex]

Because we have the radius we can plug it into the equation to give us :

V  = (4/3)×π×(2)³

V = 4/3×8π

V ≈ 33.51

Units will be units³ since no measurement is given but it to the power of 3 since it is volume.

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