Evaluate: -216 + (-6)

Answer:

see below

Step-by-step explanation:

I do not know what the 'given expression' is, bu the three UN-highlighted expressions in each question 1 and 2  are equivalent

  Only the highlighted one is not equiv to the other three

Answer:

6 = 413 is a not true statement

Step-by-step explanation:

I've attached my work below

Hope it helps, Let me know if you have any questions/concerns !

Have a nice rest of your day :)

Answer:

-21x² + 8x + 2

Step-by-step explanation:

Addition of two polynomials:

Like terms have same variable with same power. Combine like terms.

(-16x² & -5x² are like terms ;  10x and (-2x) are like terms ;  (1 and 1 are constants)

-16x² + 10x + 1 + (-5x² - 2x + 1) = -16x² + 10x + 1 -5x² - 2x + 1

                                                = -16x² - 5x² + 10x - 2x + 1 + 1

                                                 = -21x² + 8x + 2

[tex](6x^2+10x-1) +(-5x^2-2x+1)\\\\=6x^2+10x-1-5x^2-2x+1\\\\=x^2+8x[/tex]

Answer:

its the only way to get the monkey out of the cage

Step-by-step explanation:

u gave to free the monkes

Answer:

g(x)=2x+1

Step-by-step explanation:

(2x+1)^2+1=4x^2+4x+2

Answer:

55

Step-by-step explanation:

(after the first "1") You need to add the previous two numbers together to get the next number in the pattern.

Answer:

75 feet

Step-by-step explanation:

The perpendicular height from the base of the lighthouse to the top is 160 feet. The angle of depression is the angle that is adjacent to this side. The opposite of this angle is the horizontal distance from the boat to the base of the lighthouse, so we need to use the tangent. tan 25°=x/160, tan 25° is 0.466 so when we multiplty by 160 to find x, we get x=74.56, which rounded up is 75.

Answer:

Step-by-step explanation:

Marise has 26 pokemon cards. Marisa claims that he will have 146 or more cards after she receives her shipment of 8 packs of cards.

So, we have to make a unknown value on 8.

Now, we have to find out that unknown value:

There will be 15 cards in Marisa's 8 boxes.

Answer:

324

Step-by-step explanation:

** The attachment shows an arithmetic sequence **

Sum of Arithmetic Series formula

[tex]S_n=\dfrac12n(a+l)[/tex]

where:

[tex]a_n=2n-1[/tex]

[tex]\implies a_1=2(1)-1=1[/tex]

[tex]\implies a_{18}=2(18)-1=35[/tex]

[tex]\implies S_{18}=\dfrac12(18)(1+35)=324[/tex]

[tex]\\ \rm\Rrightarrow \sum^{18}_{n=1}2n-1[/tex]

[tex]\\ \rm\Rrightarrow 2(1)-1+2(2)-1\dots+2(18)-1[/tex]

So

[tex]\\ \rm\Rrightarrow S_n=\dfrac{n(a+l)}{2}[/tex]

[tex]\\ \rm\Rrightarrow S_n=\dfrac{18(1+35)}{2}=9(36)=324[/tex]

Answer:

A=4πr2=4·π·2.52≈78.53982 ==> A

Step-by-step explanation

the radius is 2.5 feet, the formula is given, then sub for pi and approx answers is 78.5

Answer: The Answer is 150.

I don't know if this is the right answer

Answer: 186. 375

Step-by-step explanation:

25/100 × 248.50 /1 = 62.125

He paid 248.50 - 62.125

Answer:

x = 3/2

Step-by-step explanation:

Step 4: 2x + 8 = 11

step 5: 2x +8 - 8 = 11 -8

step 6: 2x/2 = 3/2

step 7: x = 3/2

Answer:

see explanation

Step-by-step explanation:

take the square root of both sides

step 4 : x + 4 = ± [tex]\sqrt{11}[/tex] ( subtract 4 from both sides )

step 5 : x = - 4 ± [tex]\sqrt{11}[/tex]

step 6 : x = - 4 - [tex]\sqrt{11}[/tex] , x = - 4 + [tex]\sqrt{11}[/tex]

Answer:

See below ~

Step-by-step explanation:

13.

14.

15.

16.

Answer:

13. C. Angles 2 and 5, becuase adjacent means the angles are touching and right next to each other, and three is too far away and is not buffering up to angle 1.

14. That would be C. angle 5, because linear pair angles are angles that share a line and would add up to 180, in this case only angle 5 does that.

15. B. 60 degrees, to find out angle 2, you first need to know the information that a line=180 degrees, and all three angles share a single line being line TQ. so all you have to do, is add up the angles you know, so 70+50=120, and then subtract them by 180, giving you the remainder that is unkown, in this case being angle 2, so 180-120=60.

16. A. angles RVT and angle RVU, remember, ajacent angles are angles that share a side and buffer each other, in which angles RVT and RVU are the only ones that do that.

Answer:

A - Isosceles

B - 9

Step-by-step explanation:

(20x - 10)

factor out the 10 so now it is

10(2x - 1)

simplify 20x - 10

Answer:

24 ways!

Step-by-step

Pat, Jo, Al, Dan

Pat, Al, Dan, Jo

Pat, Dan, Jo, Al

Pat, Jo, Dan, Al

Pat, Al, Jo, Dan

Pat, Dan, Al, Jo List all permutations beginning with Pat.

Jo, Al, Dan, Pat

Jo, Dan, Pat, Al

Jo, Pat, Al, Dan

Jo, Al, Pat, Dan

Jo, Dan, Al, Pat

Jo, Pat, Dan, Al List all permutations beginning with Jo.

Al, Dan, Pat, Jo

Al, Pat, Jo, Dan

Al, Jo, Dan, Pat

Al, Pat, Dan, Jo

Al, Dan Jo, Pat

Al, Jo, Pat, Dan List all permutations beginning with Al.

Dan, Pat, Jo, Al

Dan, Jo, Al, Pat

Dan, Al, Pat, Jo

Dan, Jo, Pat, Al

Dan, Pat, Al, Jo

Dan, Al, Jo, Pat List all permutation beginning with Dan.

There are 24 ways for Pat, Jo, Al, and Dan to finish in first, second, third, and fourth place in the contest.

Using permutations, they are 24 different ways Pat, Jo, Al and Dan finish  in first, second, third, and fourth place in the contest.  

A permutations is "a mathematical calculations of the number of ways  a particular data can be arranged".

According to the question,

Pat, Jo, Al and Dan finish  in first, second, third, and fourth place in the contest.

Formula for Permutation [tex]nP[/tex]ₓ = [tex]\frac{n!}{(n-x)!}[/tex]  where 'n' number of items set and 'x' is the item taken for Permutation.

In order to find number of ways first, second, third, and fourth place are arrangement or Permutation in the contest.

First, second, third and fourth are four places can be obtained by Pat, Jo, Al and Dan by four position

Formula for permutation P(n , n) = n!. Using this formula P(4,4) = 4!

= 1×2×3×4  =24 ways.

Hence, using permutations, they are 24 different ways Pat, Jo, Al and Dan finish  in first, second, third, and fourth place in the contest.  

Learn more about Permutation here

https://brainly.com/question/14368656

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Quadratic functions are functions that have a leading degree of 2. The values when the icicle starts and stops dripping  is at x = 2 and 9

Quadratic functions are functions that have a leading degree of 2.

Given the equation that represents the rate at which an icicle drips below:

f(x) = −x^2 + 11x − 18

If the icicle is not dripping at the point where f(x) is a negative number, hence point where the icicle starts and stops dripping is the point where f(x) =0

Substitute

−x^2 + 11x − 18 = 0

x^2 - 11x + 18 = 0

x^2 - 9x - 2x + 18 =0
x(x - 9)-2(x-9) = 0
x = 2 and 9

Hence the values when the icicle starts and stops dripping  is at x = 2 and 9

Learn more on intercepts here: https://brainly.com/question/24990033

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Answer:

The distance between the two given points is equal to √85.

Step-by-step explanation:

Let's recall what the distance formula is:

[tex]\displaystyle \huge\math\boxed{d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2} }[/tex]

We are defined our two points as:

We can rewrite this into our different "variables":

Now given our distance formula and our variables, we can find the distance between the two points:

[tex]\displaystyle\huge\begin{aligned}d & = \sqrt{(1 - 7)^2 + (7 - 0)^2} \\& = \sqrt{(-6)^2 + (7)^2} \\& = \sqrt{36 + 49} \\& = \math\boxed{\sqrt{85}} \\\end{aligned}[/tex]

∴ since the radical is already in its simplest form, our distance between the two points is equal to √85.

Hope this helps!

Answer:

[tex]x = -\dfrac{8}3~~~~\text{or}~~~x = -\dfrac {22}3[/tex]

Step by step explanation:

[tex]~~~~~3|x+5|=7\\\\\implies |x+5| = \dfrac 73\\\\\implies x +5=\dfrac 73~~~\text{or}~~~x+5 = -\dfrac 73\\\\\implies x = \dfrac 73 -5~~~\text{or}~~~ x = -\dfrac 73 - 5\\\\\implies x = -\dfrac{8}3~~~~~~\text{or}~~~x = -\dfrac {22}3[/tex]

Answer:

20.28

Step-by-step explanation:

Triangles; 4

Area of 1 Triangle; 2

Rectangles; 8

Semi Circle; 6.28

Area in total; 20.28

Hope This Helps! :)

Step-by-step explanation:

Area of the rectangle: 4×2=8

Area of the semicircle: πr² ÷ 2= 22/7×2² ÷2 = 12.57 ÷2 = 6.29

Area of one triangle: 1/2×2×2= 2

Area of total figure: 8+6.29+2+2= 18.29

Hope this helps =)

Taking into account the discriminant of a cuadratic function, values of c ​​less than[tex]-\frac{9}{4}[/tex] cause the quadratic equation  -x²+3x+c=0 to have no real number solutions.

The function f(x) = ax²  + bx + c with a, b, c real numbers and a ≠ 0, is a function  quadratic expressed in its polynomial form (It is so called because the function is expressed by a polynomial).

The following expression is called discriminant:

Δ= b²- 4×a×c

The discriminant determines the amount of  roots of the function. The roots are those values ​​of x for which the expression is 0, so it graphically cuts the x-axis.

Then:

In this case, for the quadratic equation -x²+3x+c=0 you know:

If the function has no real roots, the discriminant is less than zero (Δ <0). This is: b²- 4×a×c < 0

Substituting the corresponding values, you  get:

3²- 4×(-1)×c < 0

Solving:

9 + 4×c < 0

4×c < -9

c< (-9)÷4

c< [tex]-\frac{9}{4}[/tex]

Finally, values of c ​​less than[tex]-\frac{9}{4}[/tex] cause the quadratic equation  -x²+3x+c=0 to have no real number solutions.

Learn more about the discriminant of a cuadratic function:

brainly.com/question/14477557

Based on the annual percentage increase and the actual amount, the wage rate per hour at Phoebe's job is $15 per hour.

The company gives an increase of 5% on the hourly wage per hour and this amount comes out to be $0.75.

The wage rate per hour is therefore:

= Actual increase amount / Percentage increase

Solving gives:

= 0.75 / 5%
= $15 per hour

Find out more on wages per hour at https://brainly.com/question/25863464.

Answer:

J. x = 1

Step-by-step explanation:

Write an equation based on the image of the scales.

3x + 6 = 9

Subtract 6.

3x = 3

Divide by 3.

x = 1

If you haven't learned to solve equations yet, the same thought process can be used with the scale image. The scales are balanced. To keep them balanced, remove 6 of the pieces marked "1" from BOTH sides of the scale. Then the scale will have three x's on one side and three "1"'s on the other side. So each x has to be one "1".

answer

Solved 3a. (10 pts) fa? x2 arctan (3.c) dx = 3b. (10 pts)

Step-by-step explanation:

brainlist me

Answer:

Of the ones listed, in the way they are written, the answers are x²y – 3x and 6y² – y.

Explanation:

A monomial is a constant, a variable, or the product of constants and variables.  A binomial is the sum or difference of two monomials.  

The first option, xy, is a monomial.  There is only one, so it is not a binomial.

The second one, x²y-3x, is the difference of two monomials; this means it is a binomial.

The third one, 6y²-y, is the difference of two monomials; this means it is a binomial.  

The last one, y²+4xy-x², is the sum and/or difference of at least three monomials (there is a plus at the end that makes me think there is more to it).  This means it is a trinomial, not a binomial.

Answer: B, C, and E.

Step-by-step explanation:

Since all three show the characteristics found in a binomial then these three are your answers. Plus I just did it on Edge.

:)

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(

8

,

−

2

)

Equation Form:

x

=

8

,

y

=

−

2

Answer:

y = 1/8x

Step-by-step explanation:

Given Equation:

⇒ -8y = -1x + 48

⇒ y = 1/8x + 6

As a result, the equation of the parallal line to the given equation x - 8y = 48 is:

⇒ y = 1/8x

Answer:

4x^2 + 11x - 20

Step-by-step explanation:

Answer:

(4x-5)(x+4)

Answer:

B. Acute

Step-by-step explanation:

Any angle less than 90 degrees is an acute angle. A 90-degree angle is a right angle, and is typically marked with a little box. Any angle more than 90 degrees and less than 180 degrees is an obtuse angle. A 180-degree angle is a straight angle and is basically just a line.

Since 29 degrees is less than 90 degrees, we know that the answer is B, an acute angle.

I hope this helps! Have a lovely day!! :)

(also, here is a picture of examples of the different angles)