Find the lateral area of the prism.11cm4cm4cmLateral Area = [?]cm?

Therefore, the solutions to the equation 0 = |3x + 3| + 3 are x = -2 and x = 0.

To solve the equation 0 = |3x + 3| + 3, we need to eliminate the absolute value. Remember that the absolute value of a number is always non-negative.

First, let's isolate the absolute value term on one side of the equation:

|3x + 3| = -3

Since the absolute value cannot be negative, there are no solutions to the equation as it stands. However, if we modify the equation to make the right side positive, we can find a solution.

To eliminate the absolute value, we can rewrite the equation as two separate equations, considering both the positive and negative cases:

   3x + 3 = -3

   -(3x + 3) = -3

Solving equation 1:

3x + 3 = -3

3x = -6

x = -2

Solving equation 2:

-(3x + 3) = -3

-3x - 3 = -3

-3x = 0

x = 0

For such more question on equation

https://brainly.com/question/29174899

#SPJ8

wa can rewrite it as 12/1 which is A

Answer:

the answer is found at option D

The proof of ΔRUV ≅ ΔSUT is shown below.

Given that:

RSTV is a rectangle and U is the midpoint of VT.

Here, We have to Prove:

⇒ ΔRUV ≅ ΔSUT

Now, We can prove as;

Statement                               Reason

1) RSTV is a rectangle               Given

2) Angle V and T are                Because every angle in a rectangle is 90

right triangle.

3) ∠V ≅ ∠T                               Because both are right angle.

4) U is the midpoint of VT.        Given

5) VU = UT                                By midpoint theorem.

6) VR ≅ TS                                Opposite sides of rectangle.

7) ΔRUV ≅ ΔSUT                       By SAS congruency theorem.

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ1

Answer:

  112 in³

Step-by-step explanation:

We assume the side areas are of just one of the two sides with equal area.

Consider the areas to be a, b, c in terms of box dimensions x, y, z:

  a = xy; b = yz; c = xz

Then the product of the areas is ...

  abc = (xy)(yz)(xz) = x²y²z²

and the volume of the box is ...

  V = xyz = √(x²y²z²) = √(abc)

  V = √((14 in²)(16 in²)(56 in²)) = √(12544 in⁶)

  V = 112 in³

The volume of the box is 112 cubic inches.

_____

The dimensions of the box could be 2 in by 7 in by 8 in.

The function rule for g(x) is h(x) = (x - 0)² - 7.

In Mathematics, the vertex form of a quadratic function is represented by the following mathematical equation:

f(x) = a(x - h)² + k

Where:

Based on the information provided about the vertex (0, -7) and other points (-3, 2), we can determine the value of a as follows:

f(x) = a(x - h)² + k

2 = a(-3 - 0)² - 7

2 + 7 = 9a

9 = 9a

a = 1

Therefore, the required quadratic function in vertex form is given by:

h(x) = a(x - h)² + k

h(x) = (x - 0)² - 7

h(x) = x² - 7

Read more on vertex here: brainly.com/question/14946018

#SPJ1

Answer:

36 < (x - 2)² + (y + 3)² and 16 > (x - 4)² + y²

Step-by-step explanation:

This is because the shaded area is inside the first circle (centered at (4, 0) with a radius of 4) but outside the second circle (centered at (2, -3) with a radius of 6). The inequalities reflect these conditions by setting the inequality signs accordingly. The inequality with "<" for the first circle ensures that the shaded area is within the circle, and the inequality with ">" for the second circle ensures that the shaded area is outside the circle.

The correct option is A) Vertex = (–3,4), y-intercept = (0,–5), x-intercepts = (1,0) and (5,0), axis of symmetry is x = –3.

A quadratic function is a type of polynomial function with a degree of two, represented by a parabolic curve when graphed, and can have a maximum or minimum point known as the vertex.

To determine the correct option, we need to compare each feature given in the options with the graph. Here are the steps:

Step 1: Identify the vertex of the graph.

From the graph, we can see that the vertex is located at (–3,4).

Step 2: Identify the y-intercept.

From the graph, we can see that the y-intercept is located at (0,–5).

Step 3: Identify the x-intercepts.

From the graph, we can see that there are two x-intercepts located at (1,0) and (5,0).

Step 4: Identify the axis of symmetry.

The axis of symmetry is the vertical line that passes through the vertex and divides the parabola into two symmetric halves. From the graph, we can see that the axis of symmetry is the vertical line x = –3.

Comparing the features given in the options with the graph, we can see that option A matches all the features correctly.

To know more about polynomial function visit:

https://brainly.com/question/12228702

#SPJ1

Answer:

24

Step-by-step explanation:

8x3=24

Answer:

It is D: an =  (– 1/6) ⋅ an–1

Step-by-step explanation:

The probability that calls last between 4.0 and 4.6 minutes will be around 0.4332.

we have to standardize the values and utilize the standard typical dispersion table or calculator.

To discover the z-scores for 4.0 and 6.0  minutes:

z1 = (4.0 - 6.0  ) / 0.70 = 2.8

z2 = (4.5 - 6.0  ) / 0.70= 2.1

Since Employing a standard ordinary conveyance table, we are able to discover the likelihood of the calls enduring between 4.0 and 4.6 minutes:

P(0 ≤ Z ≤ 2.1) = 0.4332

However the likelihood that calls final between 4.0 and 4.6 minutes is 0.4332, or around 0.4332.

To know more about probability refer to this :

brainly.com/question/24756209

#SPJ1

The expected rate of inflation is 0.068627 or 6.86%.

Real Rate of return:

The real rate of return defines the actual amount of return earned by an investment. Inflation reduces the real rate of return, so investor tries to invest in securities that could fetch more return than inflation.

The general formula of the inflation rate is:

\(IR=\frac{1+R_1}{1+R_2} -1\)

Given information is that

Nominal rate of return(R1)=9%

Real rate of return(R2)=2%

Now substitute these values in the above formula:

\(IR=\frac{1+R_1}{1+R_2} -1\\\\IR=\frac{1+0.09}{1+0.02} -1\)

IR=1.068627-1

IR=0.068627 or 6.86%

To know more about the Real Rate of return:

https://brainly.com/question/20597500

#SPJ4

The value of x in the secant intersection is 4.

If two secant segments are drawn to a circle from an exterior point, then the product of the measures of one secant segment and its external secant segment is equal to the product of the measures of the other secant segment and its external secant segment.

Therefore, let's find the value of x using the secant intersection theorem as follows;

4(4+x + 2) = 5(5 + x - 1)

4(6 + x) = 5(4 + x)

24 + 4x = 20 + 5x

24 - 20 = 5x - 4x

x = 4

Therefore,

x = 4

learn more on secant here: https://brainly.com/question/15601706

#SPJ1

Answer:

A. 48,000

Step-by-step explanation:

60 x 20= 1200

1,200 x 40= 48,000

Plz mark brainliest .^.

Answer:

To find the volume you have to multiply all the number together in any order. The order doesn't matter.

Step-by-step explanation:

To find volume=

40*20= 800

then, 800*60= 48,000

since it's in cm and there are 3 numbers then it would be 48,000 cm cubed

Answer:

Today: Monday, 12 October 2020

Hour: 23.39 WIB (in Indonesia)

_________________________

-5x - - 4x - 10

-5x + 4x - 10

-x - 10

Answer:

Reggie travels a speed of 55 miles an hour

Step-by-step explanation:

Here is the equation:

\(6(x-8)=72\)

In the equation, 6 is being multiplied by x - 8. There are two ways to solve this equation.

FIRST METHOD

You need to remove the parentheses by multiplying everything in the parentheses by 6.

\(6(x-8) = (6\times x) + (6 \times -8)\)

Multiply:

\(6 \times x = 6x\\6 \times -8 = -48\)

Remember:

NEGATIVES

POSITIVES

Now combine the two values and rewrite the equation:

\(6x+-48 \rightarrow 6x-48=72\)

Since you're looking for x alone, you will need to remove the -48. This can be done by adding 48 to both sides, -48+48=0, which cancels it out).

\(6x-48+48=72+48\\6x=120\)

Lastly, divide both sides by 6 to leave x alone.

\(\frac{6x}{6} = \frac{120}{6}\)

\(x=20\)

SECOND METHOD

While the first step is somewhat complicated, there is a much easier way.

\(6(x-8)=72\)

Start by dividing both sides by 6 to remove the number next to the parentheses.

\(\frac{6(x-8)}{6} =\frac{72}{6}\)

\(x-8=12\)

(The 6 is cancelled out since 6 divided by 6 equals 1, and 1 × any number is that number).

Now you need to leave the variable alone, which can be done by adding 8 to both sides(-8+8=0 and -8 is cancelled out).

\(x-8+8=12+8\\\)

\(x=20\)

Either method can be used, but the second one is definitely shorter!

The answer is x = 20.

Answer:

x=20

Step-by-step explanation:

In edge you will get it right.

I took the test.

Hope this helps ;)

The total number of workers that were studied can be found to be 139,340,000.

The percent of workers unemployed would be 5. 4 %.

Percentage of unemployed men is 5. 6 % and unemployed women is 5. 1%.

Number of employed workers :

= 74,624,000 + 64, 716, 000

= 139,340,000

Percentage unemployed :

= ( 4, 209,000 + 3,314,000 ) / 139,340,000

= 5. 4 %

Percentage of unemployed men :

= 4,209,000 / 74,624,000

= 5.6 %

Percentage of unemployed women:

= 3,314,000 / 64, 716, 000

= 5. 1 %

Find out more on unemployment at https://brainly.com/question/13280244

#SPJ1

The full question is:

a. How many workers were studied?

b. What percent of the workers were unemployed?

c. Compare the percent unemployed for the men and the women.

We have the following:

now, in Quadrant III (180° to 270°):

now, for cosine:

The answer is 539/1000

The zeros of the polynomial function are x = -1 and x = 5

From the question, we have the following parameters that can be used in our computation:

y = x⁴ - 4x³ - 4x² - 4x - 5

To calculate the zeros of the polynomial function, we create a graph of the polynomial

The point where the graph intersect with the x-axis are the zeros of the polynomial function

using the above as a guide, we have the following:

Zeros: x = -1 and x = 5

Read more about polynomial at

https://brainly.com/question/7693326

#SPJ1

Hence ,10 Hispanic students in Ms. Vitals Wednesday night aerobics class.

Aerobics is a form of physical exercise that combines rhythmic aerobic exercise with strength and stretching training routines with the goal of improving all elements of fitness ( cardio-vascular fitness, flexibility and muscular strength ).

The percentage  can be  found by  dividing the  value by the total value and then multiplying the  result by 100. The formula  used to  calculate  the  percentage is: \(\frac{value}{total value}\)×100%.

To find out  how many of the  students in Ms.  Vitals aerobics class are Hispanic,

first of all to determine  the percentage of students  are not African American or Caucasian.

The percentage  of students are African American is 30%, and the percentage are Caucasian is 45%. Therefore, the percentage of students are not African American or Caucasian is;

100% - 30% - 45% = 25%

So, 25% of  the students in the aerobics class are Hispanic.

To find the number of students are Hispanic,  we need to calculate 25% of the total number of  students;

25% of 40 students = \(\frac{25}{100}\) x 40 = 0.25×40=10 students

Therefore, there are 10 Hispanic students in Ms. Vitals Wednesday night aerobics class.

Learn more about percentage here:

https://brainly.com/question/24877689

#SPJ1.

Answer:

the shaded area is a fraction and the unshaded is the decimal

The required it will take 2 hours for the friends to put 7 km between them.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Let's call the number of hours it takes the friends to be "x". During that time, Rae will have traveled 2x km. And Dana will have traveled 3(x-1) km (since she left an hour later).

We can now set up an equation:

2x + 3(x-1) = 7

Expanding the second term:

2x + 3x - 3 = 7

Combining like terms:

5x - 3 = 7

Adding 3 to both sides:

5x = 10

Finally, dividing both sides by 5:

x = 2

So it will take 2 hours for the friends to put 7 km between them.

Learn more about models here:
https://brainly.com/question/22591166
#SPJ1

Answer:

y=52

x=46

questions 3

x=84

y=84

Step-by-step explanation:

Answer:

#2:   x = 64      y = 32\(\sqrt{3}\)

#3:   x = 6\(\sqrt{2}\)      y = 6\(\sqrt{2}\)

Or, if you are supposed to write your answers in decimal form instead:

#2:   x = 64      y = 55.43

#3:   x = 8.49      y = 8.49

Step-by-step explanation:

Special right triangles have specific angle measurements that tell you the lengths of each side. I attached an image that explains the rules of different special right triangles in case you need it :)

#2 is a 30-60-90 triangle. This means that x (the side opposite the 90° angle) is two times the length of the shortest side (32×2), and y is equal to 32\(\sqrt{3}\).

#3 is a 45-45-90 triangle. This means that x (the side opposite the 45° angle) is equal to y (the side opposite the other 45° angle). The hypotenuse, 12, is x\(\sqrt{2}\) (or y\(\sqrt{2}\), since x = y). This means 12 = x\(\sqrt{2}\)

Answer:

ccc

Step-by-step explanation:

Answer:

432

Step-by-step explanation:

The hour have 12 5 min (12*5=60)

So 36*12=432

Answer:

Step-by-step explanation:

simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Exact Form:

6√35

Decimal Form:

35.49647869

Answer:

\( \frac{2}{3} \bigg[ x\sqrt{ {x}} + (x - 1)\sqrt{ {(x - 1)}} \bigg] + c\)

Step-by-step explanation:

\( \int \frac{1}{ \sqrt{x} - \sqrt{x - 1} } dx \\ \\ = \int \frac{ \sqrt{x} + \sqrt{x - 1}}{ (\sqrt{x} - \sqrt{x - 1} )( \sqrt{x} + \sqrt{x - 1} )} dx \\ \\ = \int \frac{ \sqrt{x} + \sqrt{x - 1}}{ (\sqrt{x})^{2} - (\sqrt{x - 1} )^{2}} dx \\ \\ = \int \frac{ \sqrt{x} + \sqrt{x - 1}}{ x - (x - 1 )} dx \\ \\ = \int \frac{ \sqrt{x} + \sqrt{x - 1}}{ x - x + 1} dx \\ \\ = \int \frac{ \sqrt{x} + \sqrt{x - 1}}{ 1} dx \\ \\ = \int (\sqrt{x} + \sqrt{x - 1}) dx \\ \\ = \int \sqrt{x} \: dx+ \int\sqrt{x - 1} \: dx \\ \\ = \int {x}^{ \frac{1}{2} } \: dx+ \int {(x - 1)}^{ \frac{1}{2} } \: dx \\ \\ = \frac{ {x}^{ \frac{3}{2} } }{ \frac{3}{2} } + \frac{ {(x - 1)}^{ \frac{3}{2} } }{ \frac{3}{2} } + c \\ \\ = \frac{2}{3} {x}^{ \frac{3}{2} } + \frac{2}{3} {(x - 1)}^{ \frac{3}{2} } + c \\ \\ = \frac{2}{3} \bigg[ \sqrt{ {x}^{3} } + \sqrt{ {(x - 1)}^{3} } \bigg] + c \\ \\ = \bold{\purple {\frac{2}{3} \bigg[ x\sqrt{ {x}} + (x - 1)\sqrt{ {(x - 1)}} \bigg] + c}} \)

Answer:

  see attached for a sketch

  area = 5 1/3 square units

Step-by-step explanation:

You want the area under the square root curve, above y=0, from x=0 to x=4.

The area is found by integrating a differential of area over appropriate limits. A vertical slice will have hight √x and width dx, so we have ...

  dA = (√x)dx

  A = ∫(√x)dx

The power rule can be used for the integration:

  \(\displaystyle A=\int_0^4{x^{\frac{1}{2}}}\,dx=\left[\dfrac{x^{\frac{3}{2}}}{\frac{3}{2}}\right]^4_0=\dfrac{2}{3}(4^\frac{3}{2})=\dfrac{16}{3}=\boxed{5\dfrac{1}{3}}\)

The area of the region is 5 1/3 square units.

__

Additional comment

You will notice that the area is bounded by a rectangle 4 units wide and 2 units high, for an area of 4·2 = 8. The area under the parabolic curve is 2/3 of that: 2/3·8 = 16/3 = 5 1/3 square units.

This fraction will be true for any area bounded by a parabola where the vertex is one of the corners of the rectangle.

#95141404393