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By the remainder theorem, the remainder upon dividing [tex]x^3+5x^2+kx-8[/tex] by [tex]x-3[/tex] is given by the value of this expression when x = 3 :

[tex]3^3 + 5\cdot3^2 + 3k - 8 = 1[/tex]

Solve for k :

[tex]27 + 45 + 3k - 8 = 1 \\\\ 3k = -63 \\\\ \boxed{k = -21}[/tex]

Answer:

D) 70 degrees

Step-by-step explanation:

A triangle angle's has a total of 180 degrees

180 - 40 = 140

140/2 = 70    (the other 2 angles are equvilent angles)

Brainly plz :)

Answer:

answer below

Step-by-step explanation:

every triangle has angle that, added together, equal 180 degrees.

if the given angle is 40 and the red lines tell you the sides are equal in length (both lines have only one red line so they are the same.), calculate the angles. (hint they are both the same amount of degrees.)

My process:

180-40=140

?+?=140

70+70=140

solution= 140 degrees

Answer:

The equation of the line with a bold line:

slope = ( 0 - ( -1 ) ) / ( ( 2 - 0 ) )= 1/2

c = -1

Therefore, y <= ( 1 / 2 ) x - 1

The equation of the line with the dotted line:

slope = ( 1 - ( - 2 ) ) / ( 0 - 1) = - 3

c = 1

Therefore, y < - 3x + 1

Step-by-step explanation:

If there is any confusion please leave a comment below.

The Answer: y = 2x + 7

Step-by-step explanation:

formula to find volume of a cylinder => V= πr²h

(22/7×(3.5)²×12)cm³

462cm³.

now the total volume of plastic used is = 462×0.2 = 92.4cm³.

hope this helps you.

Answer:

AB = 154

Step-by-step explanation:

Triangle Rectangle ABC = 90

Sen 38°=0.616 = 154/250

Sen 52°=0.788 =197/250

AC =250

AB = 154

BC = 197

Answer:

144.92

Step-by-step explanation:

32.11 = 032.11

3.67 = 003.67

032.11

109.14 +

003.67 +

______

144.92

______

Answer:

Its basically asking how many pennies there are.

The answer is 37.5=2.5x because x represents the number of pennies while 2.5 represents the weight. Hope this helps!

x=15, by the way.

Step-by-step explanation:

Answer:

2520

Step-by-step explanation:

If a nine digit number contains exactly 4 one's, 3 two's and 2 three's

We can choose the positions of the 1's in P(9/4) ways.  

We can choose the positions of the 2's from the five remaining positions in P(5/3) ways

We can choose the positions of the 3's from the two remaining positions in P(2/2) ways

In this problem order doesnt matter..

= (9!/5!×4!) × (5!/3!×2!) × (2!/2!×0!)

= 2520

Step-by-step explanation:

the common binomial factor is (x-y).

hope this helps you.

the slope is -1/3 and since the slope is negative, the line goes the opposite way and you start at (3,0)

Answer:

x=64

Step-by-step explanation:

180=x+2+4x-142

180=5x-140

320=5x

64=x

Answer: y= 2x - 2

Step-by-step explanation:

Answer:

Non terminating recurring decimals

Step-by-step explanation:

Decimals can be categorised into two groups: Terminating and non-terminating. Terminating decimals are rational, and non terminating can be further divided into: Non terminating Recurring (which are rational) and Non terminating Non recurring (which are irrational).

Answer:

Option A is correct

Step-by-step explanation:

Bobby = 1/8

Danny = 1/5

Let's add up both fractions:

1/8 + 1/5 =

1*5/8*5 + 1*8/5*8 =                   (multiplying both the numerator and                              

5/40 + 8/40 = 13/40                 denominator by the opposite denominator)

Together, they both cut 13/40 of the entire lawn.

Let's check each option:

A) Together the boys didn't even cut half the yard.

True, half of the yard is 20/40, and 13/40 < 20/40

B) The boys were able to cut more than half the yard.

False, half of the yard is 20/40, and 13/40 is not greater than 20/40

C) The boys cut almost three-fourths of the yard.

False, three-fourths of the yard is 30/40, and 13/40 is not close.

D) Together the boys cut almost the entire yard.

False, the entire yard is 40/40 and 13/40 is not close.

-Chetan K

Answer:  the gcf of 72 and 108 is 36!

Answer:

diameter 12mm

Step-by-step explanation:

Answer: 780

Step-by-step explanation: if right please mark as brainlest

Answer:

C)

Step-by-step explanation:

Answer:

the answers is20-20=0

Step-by-step explanation:

20 -

20

__

0

Answer:

Answer=20

Step-by-step explanation:

20 - 20

20/2=10

10-10=0

C: LOL

Answer:

.98 L / b   * .4 b   = .392 L         amount contained in sample

.99 L / b  * .25 b  = .248 L        this was rounded from .2475

1.00 L / b * .3 b   = .30 L

1.01 L / b * .05 b =   .05 L

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

3.98 L / 4 b * 1.0 b     = .99 L

Actual measurements might be 40 bottles at .98 L/b, 25 bottles at .99 etc

Then the total liters would be divided by the total number of bottles

Answer:

x - intercepts: (4,0) and (-2,0)

vertex: (1/2 ,  - 17/2)

Step-by-step explanation:

Part A

To find the x-intercepts you have to set y=0

(x-4) (x+2) = 0

Separate the parenthesis. Solve for  x

x-4 = 0

x= 4

x+2 = 0

x= -2

x - intercepts: (4,0) and (-2,0)

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

Part B

vertex formula for the x: coordinate : -b/2a

Expand the function.

y = 2x^2-2x-8

a = 2

b = -2

c= -8

-b/2a = -(-2)/2(2) = 1/2

vertex x- coordinate: 1/2

Substitute 1/2 back into every "x" in the function to find the "Y" for the vertex.

y = 2(1/2)^2 -2(1/2) -8

y = -17/2

vertex: (1/2 ,  - 17/2)

Answer:

f(1) = 4

Step-by-step explanation:

f(x) = - 2x^2 + 2x + 4

f(1) = - 2(1)^2 + 2(1) + 4

f(1) = -2 + 2 + 4

f(1) = 4

[tex]\displaystyle \sf Find : \\\\ 2 \left( \frac{1}{16}+x^2 \right)+5y =? \ \ ; \ \ If : x=\frac{1}{4} \ ; \ y=\frac{1}{2} \\\\\\ 2\left( \frac{1}{16} +\bigg(\frac{1}{4} \bigg) ^2\right)+5\cdot \frac{1}{2} =2\cdot \frac{2}{16} +\frac{5}{2} =\frac{1}{4} +2+\frac{1}{2} =\boxed{2\frac{3}{4} }[/tex]

Answer:

640[tex]cm^{2}[/tex]

(I hope that I am right)

Step-by-step explanation:

Area of a triange : [tex]\frac{Base x Height}{2}[/tex]

30 x 48 = 1440[tex]cm^{2}[/tex]

1440 ÷ 2 = 720[tex]cm^{2}[/tex]

20 x 16 = 320[tex]cm^{2}[/tex]

320 ÷ 2 = 160[tex]cm^{2}[/tex]

Area of a rectangle = Base x Height

20 x 16 = 320[tex]cm^{2}[/tex]

20 - 30 = 10

10 x 16 = 160[tex]cm^{2}[/tex]

160 ÷ 2 = 80[tex]cm^{2}[/tex]