which value of x is in the solution set of the following inequality -3×+5>17

Let c = angle TPS

This angle adds to angle 'a' to get a+c = 90. We know these angles are complementary because triangle PQR is a right triangle. The acute angles of a right triangle add to 90.

We also know that b+c = 90 for similar reasons. Triangle PST is a right triangle.

So we have these two equations

a+c = 90

b+c = 90

If we were to subtract straight down then we would end up with

a-b = 0

which solves to

a = b

after adding b to both sides

Answer:

-14 or 13

Step-by-step explanation:

x + x^2 = 182  

x^2 + x - 182 = 0  

rearrange and solve by completing the square  

x^2 + x = 182  

x^2 + x + 1/4 = 182.25  

(x + 1/2)(x + 1/2) = 182.25  

(x + 1/2)^2 = 182.25  

x + 1/2 = root 182.25  

x = + or - root 182.25 - 0.5  

x = + or - 13.5 - 0.5  

x = 13 or x = - 14

Answer:

- 14 or 13

Step-by-step explanation:

let the number be n then it's square is n² and

n² + n = 182 ( subtract 182 from both sides )

n² + n - 182 = 0 ← in standard form

(n + 14)(n - 13) = 0 ← in factored form

Equate each factor to zero and solve for n

n + 14 = 0 ⇒ n = - 14

n - 13 = 0 ⇒ n = 13

As a check

(-14)² - 14 = 196 - 14 = 182

13² + 13 = 169 + 13 = 182

Answer:

a. Cottonseed oil freezes at a lower temperature than palm oil because          –48.1 °C < 24.1 °C

Step-by-step explanation:

–48.1 °C is lower than 24.1 °C since it lies on the negative side of the number line. Thus, Cottonseed oil freezes at a lower temperature than palm oil

Answer:

a. Cottonseed oil freezes at a lower temperature than palm oil because          –48.1 °C < 24.1 °C

Step-by-step explanation:

–48.1 °C is lower than 24.1 °C since it lies on the negative side of the number line. Thus, Cottonseed oil freezes at a lower temperature than palm oil

Answer:

The value of b = 1/36

As exponent decreases, each previous value is divided by 6

If the table was extended, the value of 6^-3 would be 1/216

Step-by-step explanation:

Given in the question a table containing power of 6

We will use negative rule of exponent to write the equivalent of negative power of 6

b^{-n}= 1 / b^{n}

we know that

[tex]6^{1} = 6[/tex]

so

[tex]6^{-1} = \frac{1}{6^{1} }[/tex]

= 1/6

and

[tex]6^{2} = 36\\[/tex]

So,

[tex]6^{-2} = \frac{1}{6^{2} }[/tex]

= [tex]\frac{1}{36}[/tex]

Answer:

  a[n] = 2^(4-n)

Step-by-step explanation:

There are many ways the formula for the given sequence can be written. The first term (a[1]) is 8 and the common ratio (r) is 1/2, so the generic form is ...

  a[n] = a[1]·r^(n-1)

  a[n] = 8·(1/2)^(n-1)

___

If we recognize that 8 = 2^3 and 1/2 = 2^-1, then we can write this as ...

  a[n] = 2^3·(2^-1)^(n-1) = 2^(3 -n +1)

  a[n] = 2^(4 -n)

Answer:x2

Step-by-step explanation:

Answer:

I don't understand the question, but...

When you multiply a number by itself, you are squaring it.

For Example:

3 x 3= 9

is the same as...

3^2= 9

Answer:

[tex]cos(30\°) = cos(45\°-15\°)[/tex]

Step-by-step explanation:

To solve this problem you must know the formula of subtraction of angles for the function cosx.

The formula is:

[tex]cos(h-d) = cos(h)cos(d) + sin(h)sin(d)[/tex]

We can write 30° as: 45° - 15°

Then:

[tex]cos(30\°) = cos(45\°-15\°)[/tex]

Using the formula for subtraction of angles we have:

[tex]cos(45\°-15\°) = cos(45\°)cos(15\°) + sin(45\°)sin(15\°)[/tex]

Notice that we have achieved the expression shown in the statement

Finally:

[tex]cos(30\°) = cos(45\°-15\°)[/tex]

Answer:

square root 3/2

Step-by-step explanation:

on usatestprep and the unit circle

Answer:

D. 720 cm

Step-by-step explanation:

20/10 = x / 360

2 = x / 360

x = 360 * 2

x = 720

Answer

D. 720 cm

The circumference of a circle is greater than the length of any of its arcs. Without knowing what fraction of the circle's circumference the arc makes up, it's impossible to calculate the exact circumference from the arc length.

The arc length 's' is the distance traveled along a circular path, and the radius of curvature 'r', is the radius of the circular path. The circumference of a circle can be found using the formula 2πr, and the length AB, if it corresponds to the minor arc, can be the fraction of the entire circle. This fraction is determined by the relation between the length of the arc and the full circumference. Thus, if the length of AB is 20cm, then we can infer that 2πr (the full circumference) is greater than 20cm.

To find the exact value you'd need to know what fraction of the circle the minor arc AB represents. Without this information, we can only conclude that the length of the minor arc is smaller than the circumference (2πr) of the whole circle.

https://brainly.com/question/33875792

#SPJ11

Answer:

A^2+B^2=C^2

B^2=C^2-A^2

B=SQRT(C^2-A^2

Step-by-step explanation:

Answer:

[tex]b=\sqrt{c^2-a^2}[/tex].

Step-by-step explanation:

The given expression is [tex]c^2=a^2+b^2[/tex].

We want to solve this equation for [tex]b[/tex] , we subtract [tex]a^2[/tex] from both sides of the equation.

[tex]c^2-a^2=b^2[/tex].

We take the square root of both sides to get;

[tex]\pm \sqrt{c^2-a^2}=b[/tex].

Note however that; if b represents one of the legs of a right triangle or any non negative quantity, then

[tex]b=\sqrt{c^2-a^2}[/tex].

Answer:

16x^2

Step-by-step explanation:

To find the area of a square, we use the formula

A = s^2  where s is the side length

A = (4x)^2

A = 16x^2

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷ First, you need to find how to find the area.

length*width

Since all sides of a square are the same:

4x*4x

16x^2 is the area of the square.

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ TROLLER (don't worry, I didn't troll you)

Answer:

(3,12) and (6,18)

Step-by-step explanation:

An order pair is not included if it make the equation false. Substitute each pair to determine this.

(1,9) ----> 9 = 3(1) + 6 -----> 9 = 9 TRUE

(3,12) ---> 12 = 3(3) + 6 ----> 12 = 15 FALSE

(10,36) ---> 36 = 3(10) + 6 -----> 36 = 36 TRUE

(6,18) ----> 18 = 3(6) + 6 ----> 18 = 24 FALSE

The correct answer is option (B)(D) because the ordered pair (3,12) and (6,18) is not included in graph of [tex]\( p = 3m + 6 \)[/tex].

To determine which ordered pair is not included in the graph of [tex]\( p = 3m + 6 \)[/tex], we need to verify each pair against the equation [tex]\( p = 3m + 6 \)[/tex].

The equation [tex]\( p = 3m + 6 \)[/tex] represents a linear relationship where [tex]\( m \)[/tex] is the independent variable (input) and [tex]\( p \)[/tex] is the dependent variable (output).

Let's check each ordered pair:

A) [tex]\( (1, 9) \)[/tex]:

[tex]\[ p = 3 \times 1 + 6 = 3 + 6 = 9 \][/tex]

This pair satisfies the equation [tex]\( p = 3m + 6 \)[/tex].

B) [tex]\( (3, 12) \)[/tex]:

[tex]\[ p = 3 \times 3 + 6 = 9 + 6 = 15\neq 12 \][/tex]

This pair does not satisfy the equation [tex]\( p = 3m + 6 \)[/tex].

C) [tex]\( (10, 36) \)[/tex]:

[tex]\[ p = 3 \times 10 + 6 = 30 + 6 = 36 \][/tex]

This pair satisfies the equation [tex]\( p = 3m + 6 \)[/tex].

D) [tex]\( (6, 18) \)[/tex]:

[tex]\[ p = 3 \times 6 + 6 = 18 + 6 = 24 \][/tex]

This pair does not satisfy the equation [tex]\( p = 3m + 6 \)[/tex].

Answer:

Step-by-step explanation: once you add up all the numbers you get 74. To find the mean add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count. Once you divide, you will get 18.5 as the answer for the mean

Answer:

The answer is 18.5.

Step-by-step explanation:

First, we have to add them all.

7 + 12 + 21 + 34 = 74

Next, we divide the sum by how many numbers we added (we added four numbers).

74 / 4 = 18.5.

I hope this helped! :-D

The y-intercept is the Y coordinate when X = 0

replace x with 0 and solve for Y:

y = 3/2(0)-5 = -5

The first point using the Y-intercept would be (0,-5)

Now to find another point replace X with another number other than 0 and solve for Y.

Lets use 2:

y = 3/2(2) - 5

y = 3-5 = -2

The second point would be (2,-2)

Now plot those two points and connect with a line.

See attached picture of how it should look:

Answer:

explanation below

Step-by-step explanation:

3/4+3/4+3/4=9/4 or 2   1/4 pounds of cheese

1/2+1/2+1/2+1/2= 4/2 or 2 pounds of meat

so in total he buys 2 and 1/4 a pound of cheese and 2 pounds of meat or 4 1/4 pounds of total product

Answer:

The total food that yasuko did buy at the deli was: 4 1/4 pounds.

Answer:

The area of that face is 28

Step-by-step explanation:

because 10 x 2 = 20 and 2x2=4 and 2x2=4 so add all those up together and you get 28

Answer:

[tex]28in^{2}[/tex]

Step-by-step explanation:

We can divide the yellow area in one rectangle and two squares. The dimensions of the rectangle is 10in by 2in, because the base of such rectangle is found by subtracting 4 inches and 2 inches, that would give us the measure of the base of the rectangle.

So, the area of the rectangle is

[tex]A_{r}= 10in \times 2in = 20in^{2}[/tex]

Now, the dimensions of the square is 2 inches by 2 inches, according to the graph. So, the area of each square is

[tex]A_{s}=2in \times 2in = 4in^{2}[/tex]

The total area would be

[tex]A_{total}= A_{r}+ 2A_{s}= 20in^{2}+2 (4in^{2} )=20in^{2} +8in^{2} = 28 in^{2}[/tex]

Therefore, the right answer is [tex]28in^{2}[/tex]

Answer:

3.5 Quarts

Step-by-step explanation:

we know that;

4 cups = 1 Quart

Therefore;

1 cup = 1/4 Quart

Therefore;

14 cups will be equivalent to ;

  = 14 × 1/4

  = 14/4 Quarts

  = 3.5 Quarts

[tex]3(x+4)=3x+12[/tex

Answer:

3x + 12

Step-by-step explanation:

3(x+4) => (3 · x) + (3 · 4) => 3x + 12

Answer:

The volume of cube =  x³ -6x²y + 12xy² - 8y³

Step-by-step explanation:

It is given that,

Side length of cube s = (x - 2y)

Volume of cube = s³

Points to remember

(a - b)³ = a³ - 3a²b + 3ab² - b³

To find the volume of cube

s = (x - 2y)

Volume V = s³ = (x - 2y)³

(x - 2y)³ = x³ - (3 * x² * 2y) + (3 * x * (2y)²) - (2y)³

  = x³ -6x²y + 12xy² - 8y³

Therefore the volume of cube =  x³ -6x²y + 12xy² - 8y³

Answer:

[tex]x^3 -6x^2y + 12xy^2 - 8y^3[/tex]

Step-by-step explanation:

We are given that the side length (s) of a cube is [tex]x-2y[/tex]. Given that [tex]V=s^3[/tex], we are to find the volume of the cube.

[tex]Volume =  (x-2y)^3[/tex]

We know that, [tex](a - b)^3 = a^3 - 3a^2b + 3ab^2 - b^3[/tex]

So expanding the given expression accordingly:

[tex](x-2y)^3 = x^3 - (3 \times x^2 \times 2y) + (3 \times x \times (2y)^2) - (2y)^3[/tex]

Volume of cube = [tex]x^3 -6x^2y + 12xy^2 - 8y^3[/tex]

Answer:

x=43 and y=22

Step-by-step explanation:

x + y = 65

let y = smaller the y = x -21

Then x + (x - 21) = 65

2x = 86

x = 43

then plug that into y = 43 - 21 = 22

X will be 43 as my will be 22.

Hope this helps.

Answer:

6/7

In decimal form it would be 0.85714285714

Answer:

6/7

Step-by-step explanation:

Add 2/7 and 8/14:

Recognize that the LCD is 14.  Rewrite 2/7 as 4/14.

Then 4/14 + 8/14 = 12/14.  This reduces to 6/7.

Ken ate 6/7 of the chocolate bar in two days.

Answer:

[tex]\large\boxed{(2x^4+x^3-4x^2+3)+(4x^4-2x^3-x^2+10x+2)=6x^4-x^3-5x^2+10x+5}[/tex]

Step-by-step explanation:

[tex](2x^4+x^3-4x^2+3)+(4x^4-2x^3-x^2+10x+2)\\\\=2x^4+x^3-4x^2+3+4x^4-2x^3-x^2+10x+2\qquad\text{combine like terms}\\\\=(2x^4+4x^4)+(x^3-2x^3)+(-4x^2-x^2)+10x+(3+2)\\\\=6x^4-x^3-5x^2+10x+5[/tex]

Minimum is 4 maximum is 10 lower quartile is 5 upper quartile is 9 median is 6 and IQR is 6 as well I think

Answer:

Minimum: 4

Maximum: 10

Median: 6

Lower Quartile: 5

Upper Quartile: 9

IQR: 4

Step-by-step explanation:

Minimum: 4

Maximum: 10

Median: 6

Lower Quartile: 5

Upper Quartile: 9

IQR: 4

IQR = Upper quartile - lower quartile

Answer:

The lines are perpendicular because the y=-7 is horizontal and the line x=4 is vertical. They intersect at a 90 degree angle

:D brainliest?

Step-by-step explanation:

This is not a linear equation!! You have to have 2 variables, y and x in the same equation in order for this to be made into a line.

You can use the equations y=kx for proportional lines or y=mx+b, which is slope-intercept form.

For example, y=2x-4.

Sorry I can't do more.

Answer:

8.398

Step-by-step explanation:

If you are uncertain, you can do this with your calculator. However both numbers doing the dividing are powers of 10 so you can just move the decimal

8398 / 10 = 839.8 Move the decimal 1 place.

839.8/100 = 8.398 Move the decimal 2 places.

In both instances, move the decimal left.

To get total miles traveled, multiply 30 miles per hour by number of hours.

The equation would be m = 30h

Answer:

The answer is m=30h

Your welcome :)

if we look on one side, we already have one measurement. 4 cm. ok, that's the measurement on that side. look to the left now. that other side is also the same length, so we take that number and multiply it be 2 to get

[tex]4 \times 2[/tex]

Wait! we're not done yet. look at the top. do you see the 3? well that's the width for the top of the rectangle. the bottom must be the same to right? so we get

[tex]3 \times 2[/tex]

add both equations and you get

[tex](4 \times 2) + (3 \times 2)[/tex]

The answer is 14cm! Don't forget to label. ;)

[tex]\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\bf 12x^4\cdot -\cfrac{5}{6x^3y^2}\implies -\cfrac{12\cdot 5\cdot x^4}{6x^3y^2}\implies -\cfrac{12}{6}\cdot \cfrac{5}{1}\cdot \cfrac{x^4}{x^3y^2}\implies -2\cdot 5\cdot \cfrac{x^4x^{-3}}{y^2} \\\\\\ -10\cdot \cfrac{x^{4-3}}{y^2}\implies -10\cdot \cfrac{x}{y^2}\implies -\cfrac{10x}{y^2}[/tex]

Answer:

1/4

Step-by-step explanation:

There are two sides of each coin and there are two coins together there is 4 total sides. That means there are a total of 4 possibilities and the probability that they will both land on heads​ is one probabilty which means 1/4

Answer:

0.25, or 1/4

Step-by-step explanation:

The two coins fall independently of one another.

The chances that either will land with heads up is 0.5.

The chance that both coins land with heads up is thus (0.5)(0.5) = 0.25 or 1/4

[tex] \sqrt{121} [/tex]

[tex] \sqrt{11 \times 11} [/tex]

A. 11

Answer:

A.11

Step-by-step explanation:

sqrt(121)

What number times itself is 121

11*11 = 121

-11*-11 =121

We have two options 11 or -11

Given our choices

A.11

Answer:

20 units

Step-by-step explanation:

The area of a parallelogram is A =b*h. Find the base and height by looking at the points. The distance between (2,1) and (7,1) is 5. The height between (9,5) and (7,1) must be found as a perpendicular height. It is 4 and is the distance between y coordinates or 5 - 1 = 4. See attached picture.

So the area is A = b*h = 5*4 = 20