[tex]solve for x if 4 x+1-9(2 ^{2} +2=0[/tex]
​

Answer:

Rectangular Cuboid

Step-by-step explanation:

A rectangular cuboid has 4 faces that are rectangles and 2 faces that are squares.  Since a square is a rectangle, this shape is technically built of 6 rectangles and is creates a 3-dimensional shape.  Hence, we have the prism, rectangular cuboid.

Answer:

It will take 44.3 years to reach 10,000 plants.

Step-by-step explanation:

the function describing the growth is

f(t) = 500*(1.07^t)  = 10000

Take log on both sides

t*log(1.07) = log(10000/500)

t = log(20)/log(1.07) = 44.277 years

The number years it take for the plant to become invasive are 44.3 years.

Exponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).

Given that,

Use Amount= Initial value(1+r/100)ⁿ, where n is number of years

Now, 10000=500(1+7/100)ⁿ

20=(1+0.07)ⁿ

20=(1.07)ⁿ

Take the logarithm of both sides of the equation to remove the variable from the exponent.

Exact Form:

n=ln(20)/ln(1.07)

Decimal Form:

n=44.3 years

Therefore, the number years it take for the plant to become invasive are 44.3 years.

Learn more about the exponential function here:

brainly.com/question/11487261.

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Both of these are ways to express linear equations.

[tex]y - y_1 = m(x - x_1)[/tex] is the equation for a line with slope m which contains the point [tex](x_1,y_1)[/tex]. This is called point-slope form.

[tex]y = mx + b[/tex] is the equation for a line with slope m and y-intercept b. That is, it contains the point (0, b). This is called slope-intercept form.

Both of these are perfectly valid ways of writing lines, though sometimes one will be easier to use than the other.

Answer:

Hey there!

Both of these can be used to write the equation of the line. However, for the Y-Y1=M(X-X1) equation, we must know one point on the line (X1, Y1) and the slope of the line, while in the Y=MX+B equation, we need to know the slope and the x or y intercept.

For example, we can convert from Y-Y1=M(X-X1) to Y=MX+B

For example, say the point is (2, 3) and the slope is 1

Then, we have Y-3=1(x-2)

This simplifies to Y-3=1x-2

And to Y=X+1

So it is very possible to change from one form to another.

Let me know if you need more help.

Answer:

x=16

x=8

x=36

Step-by-step explanation:

16÷4=4

8÷4=2

36÷4=9

Answer:

please see the attached picture.

Hope it helps..

Best regards!!

Answer:

36

Step-by-step explanation:

There are 3 * 2 = 6 ways to go from A to C and then 2 * 3 = 6 ways to go from C to A so the answer is 6 * 6 = 36.

Answer:

Step-by-step explanation:

If there are illustrations to given problems, please share those illustrations.  Thank you.  

The only value of x for which  [x-5]=1 is true is 6:   [6-5]=1

Steps to solve:

x - 5 = 1

~Add 5 to both sides

x - 5 + 5 = 1 + 5

~Simplify

x = 6

Best of Luck!

Answer:

45 red marbles

Step-by-step explanation:

Okay, so the ratio is 9:15:6. We add that up and we get 30. We do 150/30 and get 5. Each number in the ratio is equal to 5. We do 9*5=45.

Answer:

45 red marbles

Step-by-step explanation:

Out of the 30 marbles picked, 9 were red so that's 3/10 of the smaller sample. If you take 3/10 of 150 to get the value of the larger sample, you will get 45 marbles.

Answer:

30 students (30 total voters)

Step-by-step explanation:

Let s represent the number of students in the class.  Evan earned 80% of these votes, which came to 24 votes.  Symbolically, we have:

                                                                                                  24 votes

0.80s = 24 votes.  Therefore, s = total number of voters = ---------------- = 30 voters                                                                                              0.8

The total number of students (voters) in his class was 30.

Answer:

It is 30.

Step-by-step explanation:

Answer:

17 seconds

Step-by-step explanation:

Solution:-

The trajectory of a rocket launched is modeled by a parabolic path via a quadratic equation as follows:

                               [tex]y = -16x^2 + 266x +102[/tex]

Where,

                   y: The height of the rocket from ground

                   x: The time taken since rocket launch

We are to determine the time ( x ) it takes for the rocket to hit the ground. This can be determined by setting the quantity ( y ) to zero as follows

                             [tex]y = -16x^2 + 266x +102 = 0\\\\ -16x^2 + 266x +102 = 0[/tex]

solve the quadratic equation using quadratic formula as follows:

                             [tex]x = \frac{-b +/- \sqrt{b^2 - 4ac} }{2a} \\\\x = \frac{-266 +/- \sqrt{266^2 - 4*(-16)*(102)} }{2*(-16)} \\\\x = \frac{-266 +/- 278 }{-32} \\\\x = 8.3125 +/- 8.6875\\\\x = 17 , -0.375[/tex]

Answer: Ignore the negative value for time " -0.375 ". Hence, the rocket hits the ground at time t = 17 seconds

Answer:

a = 9

Step-by-step explanation:

In the product (y−3)(y2+3y+9), we can get the first degree term of y in two ways,

y*(9),  or -3*(3y)...............value in parentheses are from the second factor

therefore a = 9

Answer:

a = 9

Step-by-step explanation:

Let's work on the product to answer the question:

[tex](y-3)\,(y^2+3y+9)= y^3+3y^2+9y-3y^2-9y-27[/tex]

therefore the value of the requested "a" is 9

Answer:

Length = 5 units, Area = 51 unit squared

Step-by-step explanation:

For the length of the midsection (I think this is what you're talking about):

Method 1.

Draw the graph and count the units across for the length.

Method 2.

The lowest y coordinates are the 0 from point A and the 0 from point B: this means that the line between point A and B is the bottom line of the trapezoid.

The highest y coordinates are the 6 from point C and the 6 from point D: this means that the line between point C and D is the top line of the trapezoid (parallel to line AB).

Since the length of the midsection is essentially the shorter line of the two parallel lines, it is the length between point C and point D.

(10, 6) - (5, 6) = 5, so the length of the midsection is 5 units.

For the area:

Step 1. Add the lengths of the pair of parallel lines.

5 units + 12 units = 17 units

Step 2. Divide the answer to step 1 by 2.

17 units ÷ 2 = 8.5 units

Step 3. Multiply the answer to step 2 by the height between the two parallel lines.

6.5 units x 6 units = 51 units squared

Hopefully this was what you were looking for!

Bluey :)

Answer:

The reason Max will give is:

The variable x in the first equation has a coefficient of one so there will be fewer steps to the solution.

Step-by-step explanation:

x - 3y=1

7x+2y=7

Jerry's way of solving the equation

2y=7-7x

Divide both sides by 2

2y/2=7-7x/2

y=7-7x/2

Substitute y=7-7x/2 into (2)

7x+2y=7

7x+2(7-7x/2)=7

This is a complex way of solving the equation

Max's proposed efficient way

x - 3y=1 (1)

7x+2y=7 (2)

From (1)

x=1+3y

The reason Max will give is:

The variable x in the first equation has a coefficient of one so there will be fewer steps to the solution.

Substitute x=1+3y into (2)

7x+2y=7

7(1+3y)=7

7+21y=7

Divide through by 7

1+y=7

y=7-1

y=6

Is the efficient way that Max proposed

Answer:

A

Step-by-step explanation:

Brainliest?

So basically what they're asking is that each of the angles of the triangle you're creating must be 30, 60, and 90 degrees. The term "leg" is generally the base so AB on your screen is probably a length. This'd help you with how big you should make the angles of the triangle.

Hope this helps!! <3

Answer:

-y, x

Step-by-step explanation:

x values go from negative to positive and the y  values remain negative

Answer:

1,910

Step-by-step explanation:

8 x 6 = 48 x 4 = 192 x 10 = 1,920 now 1,920 minus 10 = 1,910

i guess..but good luck

Answer:

144mi^2

Step-by-step explanation:

The first step would be to find the top and bottom of the shape which are two triangles.

The way you find the area of a triangle is

[tex]A= \frac{L*W}{2}[/tex]

The length is 6 and the width is 8 so you can plug in the numbers

[tex]A=\frac{6*8}{2}[/tex]

Then multiply 6 by 8

[tex]A=\frac{48}{2}[/tex]

And divide by two

[tex]A=24[/tex]

because there are two identical triangles, multiply 24 by 2 to get 48.

The two triangles make 48mi

Now you must find the area of all the rectangles on the sides separately.

The way to find the area of a rectangle is

[tex]A=L*W[/tex]

You must do one at a time, first, I will so the side with a length of 4 and width of 10

[tex]A=4*10[/tex]

Multiply 4 by 10 to get

[tex]A=40[/tex]

One of the rectangles has the area of 40mi

Now you must find the area of the other rectangles with the same formula. I will be doing the one with a length of 4 and a width of 8 next

[tex]A=4*8[/tex]

Multiply 4 by 8 to get

[tex]A=32[/tex]

The area of the second rectangle is 32mi

Finally, you want to find the area of the last rectangle that has a length of 4 and a width of 6. We will be using the same formula again

[tex]A=4*6[/tex]

Multiply 4 by 6 to get

[tex]A=24[/tex]

The area of the last rectangle is 24mi

The last step is to add all the areas together to get the surface area of the figure.

First the two triangles, then the first rectangle, the second, and finally the third.

[tex]SA = 48+40+32+24[/tex] (SA is surface area)

Once you add them all, you get

[tex]SA=144[/tex]

So the Surface area of the whole figure is 144mi^2

Hope this helps!

Feel free to ask any other questions if you have any.

Have a good day! :)

Answer:

121

Step-by-step explanation:

This is an arithmetic sequence.

First term  a = -15

Common difference [d] = second term - first term

                                  = -11 - [-15] = -11 + 15 = 4

nth term = a + (n-1) * d

35th term = -15 + (35 - 1) * 4

                = -15 + 34 * 4

                = - 15 + 136

                = 121

Answer:

121 and 257

Step-by-step explanation:

So we would have our equation for arithmetic sequences which is [tex]a_{n} =a_{1} +(n-1)d[/tex] a1 is the first term, n is the term we want to know, and d is the common difference. We would plug in the numbers into the equation so we would get [tex]a_{n} =-15+(35-1)4[/tex]. And if you simplify you would get [tex]a_{n} =121[/tex].

Than for the other one we would do the same thing so you would get [tex]a_{n} = 121+(35-1)4[/tex] and if you simplify you would get [tex]a_{n} =257[/tex].

Answer:

24 degrees

Step-by-step explanation:

94+41 = 135 degrees

180 - 135 = 45 degrees

111 + 45 = 156 degrees

180 - 156 = x = 24 degrees

Hope I could help :)

Answer:

24

Step-by-step explanation:

Answer:

[tex]\boxed{10>-15}[/tex]

Step-by-step explanation:

[tex]-2<3[/tex]

Multiply each side by -5.

[tex]-2 \times -5 <3 \times -5[/tex]

Switch signs when multiplying or dividing by a negative integer.

[tex]10>-15[/tex]

Answer:

10 > -15

Step-by-step explanation:

-2 < 3

We want to multiply each side by -5 and we want to see what happens:

-2 * -5 < 3 * -5

= 10 < -15

This is a wrong inequality as 10 is ahead of -15 on the number line.

Answer:

General solution

 θ =[tex]\frac{2n\pi }{3} +\frac{\pi }{2}[/tex]

Put n=1

                θ = 210°

put n =2

               θ = 330°

put n=3  

            θ = 270°

Step-by-step explanation:

Explanation:-

Given  equation

             sin 2θ cosθ + cos 2θ sinθ = -1

we know that

Sin (A+B) = sin A cos B +Cos A sin B

      sin( 2θ+θ) = sin (180+90)

                       = [tex]Sin(\pi +\frac{\pi }{2})[/tex]

        sin 3θ = sin (3π/2)

General solution of  sinθ  = sinα

                  θ = 2 n π ±α

                  3θ = 2 n π ±3π/2

                   θ =[tex]\frac{2n\pi }{3} +\frac{3\pi }{6}[/tex]

                  θ =[tex]\frac{2n\pi }{3} +\frac{\pi }{2}[/tex]

Put n=1

                  θ=[tex]\frac{2\pi }{3} +\frac{\pi }{2}=\frac{4\pi +3\pi }{6} =\frac{7\pi }{6}[/tex] = 210°

put n =2

                  θ=[tex]\frac{4\pi }{3} +\frac{\pi }{2}=\frac{8\pi +3\pi }{6} =\frac{11\pi }{6}[/tex] = 330°

Put n=3

                  θ=[tex]\frac{2 (3)\pi }{3} +\frac{\pi }{2}=2\pi +\frac{\pi }{2} = \frac{3\pi }{2}[/tex]  = 270°

Answer:

D

Step-by-step explanation:

2/5 is 40%, so we need to find 40% of 25. .40 x 25 = 10. We see that 31 - 40 has 8 values and 41 to 50 has to, and 8 + 2 = 10, so our answer is D.

Answer:

y=|x+1|

Step-by-step explanation:

The y value appears to be 1 more than the x value, so we need to add one to the x to make them even. (x+1)

But the y value doesn’t go below zero, so we need to add the absolute value brackets |x+1|

So y=|x+1|

The graph represents the equation : g(x) = |x + 1|

We have a graph given to us.

We have to write the algebraic expression depicting this graph.

The modulus of the function y = f(x) = x is given by -  

y = |x| = [tex]\left \{ {{x\;\;for\;x > 0} \atop {-x\;\;for\;x < 0}} \right.[/tex]

Using the above property, we can find out the number of solutions of any modulus equation.

The algebraic equation for the graph can be written as -

g(x) = [tex]\left \{ {{x+1;\;for\;x \geq 0} \atop {-x-1\;for\;x < 0}} \right.[/tex]

In the form of modulus function, we can write the above equation as -

g(x) = |x + 1|

Hence, the graph represents the equation : g(x) = |x + 1|

To solve more questions on modulus function, visit the following link -

https://brainly.com/question/13103168

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Answer:

(C)1 out of 5,005

Step-by-step explanation:

There are a total of 15 student friends.

Monica wants to invite 6 of her friends.

The number of ways this can be done is:

[tex]^{15}C_6=\dfrac{15!}{(15-6)!6!} \\=\dfrac{15!}{9!6!}\\\\=5005[/tex]

Therefore, the probability that friends Tessa, Guido, Brendan, Faith, Charlotte and Rhianna are chosen

[tex]=\dfrac{1}{5005}[/tex]

Answer:

8, 18, 11, 15, 5, 4, 14, 9, 19, 1, 7, 17, 6, 16, 10, 13, 3, 12, 2

Step-by-step explanation:

The answer is actually very simple: the numbers are placed in alphabetical order.

E ight

E ighteen

E leven

F ifteen

F our

F ourteen

N ineteen

O ne

S even

S eventeen

S ix

S ixteen

T en

T hirteen

T hree

T welve

T wo

Answer:

[see below]

Step-by-step explanation:

[tex]\frac{1}{90}*-\frac{1}{3}\\\\\frac{1*-1}{90*3}\\\\\frac{-1}{270}\\\\\boxed{-\frac{1}{270}}[/tex]

If a number gets multiplied by it's reciprocal, the product would be one.

[tex]\frac{x}{y}*\frac{y}{x}=1\\\\-\frac{1}{270}*-\frac{270}{1}= 1[/tex]

The reciprocal of the product of the equation is [tex]-\frac{270}{1}[/tex].

Hope this helps.

Answer:

Option A

Step-by-step explanation:

According to the graph it never crosses the x axis meaning that it has 0 roots beecasue roots is another word for x-values.

Answer: 72 inches

Step-by-step explanation:

You are given that equilateral triangle BFC is cut out of square ABCD, since it is an equilateral triangle, that is all sides are equal to each other, we can therefore find the side of a triangle.

Given that the perimeter of square ABCD was 48 inches.

Perimeter of a square = 4L

Substitute 48 into the formula

48 = 4L

L = 48/4 = 12 inches

That means each length = 12 inch

Perimeter P of the shaded figure ABFCDE will be

P = AB + BF + FC + CD + DE + EA

P = 12 + 12 + 12 + 12 + 12 + 12

P = 72 inches

Therefore, the perimeter of ABFCDE is 72 inches.

Answer:

72

Step-by-step explanation:

We know that each side of a square is equal so if the perimeter is 48 then 48/4 = 12 and knowing the bottom of that triangle cut out is 12 we can solve each side 12 since its a equilateral triangle.

12*6= 72 = answer

Step-by-step explanation:

4+6+5=15

15-1=14

2/14

1/7

Answer:

[tex]\boxed{\frac{2}{7}}[/tex]

Step-by-step explanation:

Part 1: Finding out total number of marbles

To start, we need to find out how many marbles are in the bag.

[tex]4 + 6 + 5 = 15[/tex] marbles

Part 2: Removing blue marble and finding probability

After removing the blue marble and not replacing it, we can then infer that we have 14 marbles remaining.

If we have 4 red marbles in the bag, simply find the ratio of red marbles to the total marbles.

[tex]\frac{4}{14} = \boxed{\frac{2}{7}}[/tex] or a 28.57% chance of occurrence.

Answer:

9

Step-by-step explanation:

because it is 6 divided by 2 then (1+2) 3x3

Answer:

yes your are right

Step-by-step explanation:

got it right