factor 8x^3y + 38x^2y - 10xy

An equation that can be used to determine the value of x is x² + 5x - 36 = 0.

To answer the question, we need to know what equations are

An equation is an expression which shows the relationship between two variables.

Given that the x represents the length of side of the square picture and the rectangular sheet poster leaving a border around the picture of 2 inches on the bottom and 1 inch on each remaining sides.

Then,

So, the area of the rectangular sheet poster is A = LW

= (x + 2)(x + 3)

Since the rectangular sheet poster has an area of 42 square inches, A = 42 in².

So, (x + 2)(x + 3) = 42

x² + 3x + 2x + 6 = 42

x² + 5x + 6 - 42 = 0

x² + 5x - 36 = 0

So, an equation that can be used to determine the value of x is x² + 5x - 36 = 0.

Learn more about equations here:

https://brainly.com/question/1884491

#SPJ1

The attribute being measured is the height of plant seedlings. The unit of measurement is centimeters. There are a total of 6 observations.

The table displays weeks and the plant's height. From the table, it can be seen that the height of the plant increases with the passage of time. Thus, the attribute being measured is the height of plant seedlings.

The number of data points on the table is 6. This is the total number of observations.

To learn more about tables, please check: https://brainly.com/question/273444444

#SPJ1

Answer:

So the first one the false the second one it true

Step-by-step explanation:

4(2)+(-3)=1 FALSE

4(-1)+5 = 1 TRUE

Answer:

A. 6/10

Step-by-step explanation:

Answer:

the answer is a 6

                          _

                         10

Step-by-step explanation:

Answer:

[tex]\displaystyle P(\text{Prime})=\frac{3}{4}=0.75[/tex]

Step-by-step explanation:

[tex]\displaystyle P(\text{Prime})=\frac{\text{Number of Primes}}{\text{Total}}=\frac{3}{4}=0.75[/tex]

Answer:

x = 2

Angle A = 95°

Angle B = 85°

Step-by-step explanation:

Concepts

Supplementary angles are angles that sum up to 180° to form a straight angle.

Application

We are asked to find the value of x, Angle A, and Angle B. We are given angles A and B as 15x + 65 and 50x - 15. To do this, we can set up the equation 15x + 65 + 50x - 15 = 180 because we know these angles are supplementary, or adding to 180°. Then, once we get the value of x, we plug in that value for each angle.

Solution

Step 1: Simplify both sides.

Step 2: Subtract 50 from both sides.

Step 3: Divide both sides by 65.

Step 4: Plug x into angle A.

Step 5: Plug x into angle B.

The pressure is 6 atmospheres when the container is sent underground, with resulting compression into 6 L

An equation is an expression that shows the relationship between two or more numbers and variables.

Boyle's law is given by:

P₁V₁ = P₂V₂

Where P is pressure and V is volume. Hence:

12(3) = 6 * P₂

P₂ = 6 atm

The pressure is 6 atmospheres when the container is sent underground, with resulting compression into 6 L

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Apply Boyles law

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

[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

What is the solution to 2x-8<12

[tex]\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]

First, add 8 on both sides:-

2x<12+8

2x<20

Divide by 2 on both sides:-

x<10 (Option C)

So the numbers less than 10 will make this inequality true.

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

Step-by-step explanation:

[tex] = (7z + 1) + ( - 4z - 5)[/tex]

[tex] = 7z + 1 - 4z - 5[/tex]

[tex] = 7z - 4z + 1 - 5[/tex]

= 3z - 4

hence 3z - 4 is the answer...

hope it helped !!!

keeping in mind that an absolute value expression is really a duet in disguise, namely there's positive and negative version of it, Check the picture below.

[tex]\pm (3x+12)~~ = ~~105 \\\\[-0.35em] ~\dotfill\\\\ +(3x+12)~~ = ~~105\implies 3x=93\implies x=\cfrac{93}{3}\implies \boxed{x=31} \\\\[-0.35em] ~\dotfill\\\\ -(3x+12)~~ = ~~105\implies 3x+12=-105\implies 3x=-117 \\\\\\ x=\cfrac{-117}{3}\implies \boxed{x=-39}[/tex]

Answer:

Step-by-step explanation:

By the Mean Value Theorem, there is at least one number, c, in the interval (1,6) such that

f'(c) = [f(6) - f(1)]/ (6 - 1)

So, f(6) - f(1) = 5f'(c).

Since 2 ≤ f'(c) ≤ 4, 10 ≤ 5f'(c) ≤ 20

So, f(6) - f(1) is between 10 and 20.  

Answer:

25% of the bear getting picked

Step-by-step explanation:

since there are 4 options and we base of 100% we divide by 4 beacsue there are 4 options

100/4 = 25%

The area of the region which is inside the curve r = -4 sinθ but outside r = 2 will be 4.21 square units

When the two curves intersect then they bound the region is known as the area bounded by the curve.

The region outside the circle r = 2 and inside the circle r = - 4 sinθ.

Then the intersection point will be given as

[tex]\rm 2 = -4 \sin \theta\\\\\theta = 3.66519 ,5.7595[/tex]

Then by the integration, we have

[tex]\rightarrow \dfrac{1}{2} \int _{3.6652}^{5.7595} [(-4\sin \theta)^2 - (2)^2] dx\\\\\\\rightarrow \dfrac{1}{2} \int _{3.6652}^{5.7595} [16 \sin ^2 \theta - 4]dx\\\\\\\rightarrow \dfrac{1}{2} \int _{3.6652}^{5.7595} [ 8(1- \cos 2\theta -) - 4]dx\\\\\\\rightarrow \dfrac{1}{2} \int _{3.6652}^{5.7595} [4 - \cos 2\theta] dx\\\\\\[/tex]

[tex]\rightarrow \dfrac{1}{2} \left [ 4\theta + \dfrac{1}{2} \sin 2\theta \right ]_{3.6652}^{5.7595} \\\\\\\rightarrow \dfrac{1}{2} \left [ 4(5.7595 - 3.6652) + 0.5 (0.19969-0.12759) \right ][/tex]

[tex]\rightarrow \dfrac{1}{2} \left [ 4(2.0943) + 0.5 (0.0721) \right ]\\\\\rightarrow \dfrac{1}{2} \left [ 8.41325 \right ]\\\\\rightarrow 4.2066 \approx 4.21[/tex]

Thus, the area of the region is 3.75 square units.

More about the area bounded by the curve link is given below.

brainly.com/question/24563834

#SPJ4

Hi!1200 centimetres are equal to 12 meters.

Answer:

1200cm

Step-by-step explanation:

1m = 100cm

12m = 1200cm

Answer:

the mid point of

a line segment is M(-3,2)one end point of the segment isP(1,-3)find the coordinates of the end point

Finding the mode of each data-set, the bimodal city's data is given by:

C. City C.

It is the value that appears the most times in the data-set. If two values appear the same number of sets, the data-set is called bimodal.

Hence, looking at the table:

Hence option C is correct.

More can be learned about the mode of a data-set at https://brainly.com/question/24732674

#SPJ1

the answer is ten it's simple to multiply

Answer:

To do this I am pretty sure your going to have to do some hard calculations.

Lets go deeper

so because it is a rectangle every angle is a right angle according to the property of a rectangle.

A right angle is 90 degress

So 8x+18=90
90-18=72

8x=72

72/8=9

x=9

Feel free to do brainlest if correct

Answer:

$90

Step-by-step explanation:

Since Juan pays back the $10 and $30 he borrowed from his cousin and uncle they do not affect the total outcome ($10+$30-$10-$30=0)

Subtract the price of the ticket from the total amount he won.

$100-$10=$90

Answer:

-4

Step-by-step explanation:

Average rate of change (Table 1) :

Average rate of change (Table 2) :

Difference : -2 - 2 = -4

[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]

[tex] \large\underline{ \boxed{ \sf{✰\:Given }}}[/tex]

[tex] \large\underline{ \boxed{ \sf{✰\: Let's\:solve }}}[/tex]

[tex] \rm{➾ \: total \: outfits \: you \: can \: have = \: 8 \: shirts \times 5pairs \: of \: pants} \\ \rm{➾ \: total \: outfits \: you \: can \: have =\: 40}[/tex]

[tex] \rule{70mm}{2.9pt}[/tex]

Hope it helps !

Answer:

A=7

B=10

C=2

D=2

Surface area= 208

Pretty sure this is correct.

Answer: Heyaa!!

its 3/5 :)

Step-by-step explanation:

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

Hopefully this helps you

- Matthew <333

Answer:

The square root of 36/100 is c. -6/10 and 6/10

Step-by-step explanation:

as of right now im not sure how to confirm this other then a calculator, but it is mathmatically correct

also with mathews answer, 3/5 = 6/10 so be sure to look at his explanation as well

((if you happen to know, please let me know in the comment below!!))

If θ is the angle between u and v, then

u • v = ||u|| ||v|| cos(θ)

Since u = -3v, we have

u • v = (-3v) • v = -3 ||v||²

and

||u|| = ||-3v|| = 3 ||v||

If v₁ and v₂ are both not zero, then ||v| ≠ 0.

Then

cos(θ) = (-3 ||v||²) / (3 ||v|| ||v||) = 1

which means θ = π rad = 180°.

Answer:

9th ones answer is 4.

10th ones answer is 150 units.

7 the ones answer is 30sq cm.

6th one the statements A and B are right.

8 the ones answer is 240 cm².

Answer:

55

Step-by-step explanation:

since, it is a parallelogram we can find the area easily just by multiplying the base and height

A=bh

A=55m2

Answer:

Step-by-step explanation:

-150x ≥ − 2,400 

[tex]\Longrightarrow -\frac{1}{150} \times \left( -150\right) x \leq -\frac{1}{150} \times \left( -2400\right)[/tex]

[tex]\Longrightarrow x\ \leq \frac{-2400}{-150}[/tex]

[tex]\Longrightarrow x\ \leq 16[/tex]

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

-336 ≥ − 21y

[tex]\Longrightarrow -\frac{1}{21} \times \left( -336\right) \leq -\frac{1}{21} \times \left( -21\right)y[/tex]

[tex]\Longrightarrow 16\geq y[/tex]

[tex]\Longrightarrow y\geq 16[/tex]

Area and perimeter of figure be: 562.08 m² and 123.68 m

Perimeter is the distance around the outside of a shape. Area measures the space inside a shape.

The figure comprises of a parallelogram and semicircle.

1. For Area

Area of parallelogram = base x height

                                     = 24 x 14

                                     = 336 m²

Area of semicircle = (π x r²)/2

                               = (3.14 * 12 * 12)/2

                              = 226.08 m²

Total Area of the figure = 336+ 226.08 =562.08 m²

2. Perimeter

Perimeter of parallelogram=  2 (a+b)

                                             = 2 (19 +24)

                                            = 86 m

Perimeter of semicircle= π * r

                                      = 3.14 * 12

                                     = 37.68 m

Total Perimeter of the figure= 86 + 37.68 = 123.68 m

Learn more about perimeter and area is:

https://brainly.com/question/11957651

#SPJ1