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Answer:

3x^2+4x+1

Step-by-step explanation:

Given the polynomial function 4x + 3x^2 - 1

Rearranging in descending order means that we are to arrange the degree power from the highest to the lowest.

The term with the highest degree is 3x^2

Followed by 4x

Then the constant 1

Adding according to the descending powers

The polynomial in descending order will be 3x^2+4x+1

Answer:

It’s A!

Step-by-step explanation:

took the test :)

Vertical angles are a pair of non-adjacent angles formed when two lines intersect. you only told me to name a pair but i dont  know what u mean you didn't give a diagram.

1.65 meters...........

Unit conversion is a way of converting some common units into another without changing their real value. Ms. Aluma is using the correct option.

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

Given that Ms Aluma is 165 cm tall and She wants to find her height in meters. Therefore, if we divide her height in centimeters by 100 to find her height in meters.

Since 1 meter is equal to 100 cm, therefore, the method used by Ms. Aluma is correct. Therefore, the height of Unit conversion is,

Height of Ms. Aluma = 165 cm

                                  = 165/100 meters

                                  = 1.65 meters

Hence, Ms. Aluma is using the correct option.

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Answer:

= 10

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Answer:

B and D

Step-by-step explanation:

Given:

Total amount invested = $3000

Rate of annul interest on investments are 5% and 8%.

Total interest earned for the year = $210

To find:

The amount invested at each rate.

Solution:

Let the amount invested at 5% be [tex]\$x[/tex] and the amount invested at 8% be [tex]\$(3000-x)[/tex].

Total interest earned for the year = $210

It means. 5% of [tex]x[/tex] + 8% of [tex](3000-x)[/tex] = 210

[tex]x\times \dfrac{5}{100}+(3000-x)\times \dfrac{8}{100}=210[/tex]

Multiply both sides by 100.

[tex]5x+(3000-x)8=21000[/tex]

[tex]5x+24000-8x=21000[/tex]

[tex]-3x=21000-24000[/tex]

[tex]-3x=-3000[/tex]

Divide both sides by -3.

[tex]x=1000[/tex]

Now,

[tex]3000-x=3000-1000[/tex]

[tex]3000-x=2000[/tex]

Therefore, the amount invested at the rate of 5% is $1000 and the amount invested at the rate of 8% is $2000.

Answer: 7693cm

Step-by-step explanation:

The volume of a cone is given as:

= 1/3πr²h

where π = 3.14

radius = 3.5cm

height = 12

Volume = 1/3πr²h

= 1/3 × 3.14 × 3.5² × 12

= 153.86cm³

Therefore, the amount of water that is needed to fill 50 cups will be:

= 153.86 × 50

= 7693cm

they took my first answer off, so i came back. but honestly thank you for the points. have an amazing day!

Since the triangle is a right angled, to find one side we should use the pythagoras theorem.

The longed side of the triangle is called the hypotenuse.

In equation form:  x² + y² = z²

Therefore: 12² + x² = 13²

114+x²= 169

x²= 169-114

x²= 55

x = 7.41

Therefore the length of AC = 7.41

Answer:

52.8 feets

Step-by-step explanation:

From the diagram :

The height of tree woulb be :

Height above the ground (at breakpoint) + hypotenus

Hypotenus, h cab be obtained using Pythagoras rule :

h² = opp² + adj²

h² = 39² + 12²

h² = 1665

h = sqrt(1665)

h = 40.804 feets

Height of tree to the nearest tenth ;

40.804 feets + 12 feets

= 52.804 feets

= 52.8 feets

Answer:

a) 0.091

b) 21.6%

Step-by-step explanation:

a) divide by 100

b) multiply by 100

Given:

A line passes through the points (2,-1) and (1,-5).

To find:

The equation of the line.

Solution:

If a line passes through the two points, then the equation of the line is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

The line passes through the points (2,-1) and (1,-5). So, the equation of the line is

[tex]y-(-1)=\dfrac{-5-(-1)}{1-2}(x-2)[/tex]

[tex]y+1=\dfrac{-5+1}{-1}(x-2)[/tex]

[tex]y+1=\dfrac{-4}{-1}(x-2)[/tex]

[tex]y+1=4(x-2)[/tex]

Using distributive property, we get

[tex]y+1=4(x)+4(-2)[/tex]

[tex]y+1=4x-8[/tex]

Subtract 1 from both sides.

[tex]y+1-1=4x-8-1[/tex]

[tex]y=4x-9[/tex]

Therefore, the correct option is B.

Answer:

Step-by-step explanation:                    ..............

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

bottom left is 13a + 2b

bottom right is 15y - 6

Answer:

1) 13a + 2b

2) 15y² - 6

Step-by-step explanation:

3a + 2(b + 5a)

3a + 2b + 10a

13a + 2b

3y² + 3(4y² - 2)

3y² + 12y² - 6

15y² - 6

Answer:

idont have a clue

Step-by-step explanation:sorry

Answer:

38

Step-by-step explanation:

**The sum of all the angles in a triangle is 180 degrees**

So 99 + 43 + x = 180

99 + 43 = 142 degrees

x = 180 - 142 = 38

Answer:

(1,6) , (2,7) , (3,8) , (4,9) , (5,10)

Step-by-step explanation:

Given equation: y = x + 5

when x = 1, y = 1 + 5 = 6

(1,6)

when x = 2, y = 7

(2,7)

when x = 3 , y = 8

(3,8)

when x = 4 , y = 9

(4,9)

when x = 5 , y = 10

(5,10)

Answer:

d = 6.1m

n = 7km

Step-by-step explanation:

To find the variables, use tan

⇒ tan = [tex]\frac{opposite}{adjacent}[/tex]

finding d:

⇒tan 63 = [tex]\frac{d}{3.1}[/tex]

tan of 63 is 1.963

⇒ 1.963 = [tex]\frac{d}{3.1}[/tex]

multiply 3.1 on both sides

⇒ 1.963 x 3.1 = [tex]\frac{d}{3.1}[/tex] x 3.1

⇒ 6.0853 = d

round to the nearest tenth:

⇒ 6.0853 = 6.1

finding n:

⇒ tan 45 = [tex]\frac{7}{n}[/tex]

tan of 45 is 1

⇒ 1 = [tex]\frac{7}{n}[/tex]

multiply 7 on both sides:

⇒ 1 x 7 = [tex]\frac{7}{n}[/tex] x 7

7 = n

Answer:

D = 1.4, N =

Step-by-step explanation:

To get D you need to find the cosine of 63 degrees

Cosine(63) = D / 3.1

Multiply by 3.1 to isolate D :

3.1Cosine(63) = D

Put it into a calculator and you'll get 1.4.

Also, it's a 45-45-90 triangle so the 2 legs will be equal to each other.

Proof: To get N put you have to do the tangent of 45 degrees

Tan(45) = 7 / N

Now you can't to do this you have to multiply the both sides by N

N(tan(45)) = 7

Then divide both sides by (tan(45))

N = 7 / (tan(45)

Put it into the calculator and you'll get

Answer:

z = [tex]\frac{979}{5}[/tex] or z = 195.8

y=-30

a = 5

b = -7

x = 64

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

54

Answer: The answer is B

Hope this helped love<3

Answer:

x = 8

Step-by-step explanation:

3 - 4x - 3 = -29 - 3

-4x = -32

then divide both sides by -4

Step-by-step explanation:

principle (p) = $4700

rate (r) = 1.65%

time (t) = 4.5 years

interest = (p × r × t)÷100

= ($4700 × 1.65 × 4.5)÷100

= $348.975

The balance in his account at the end of 4.5 years is $5048.975.

Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time period.

Simple Interest = (Principal × Rate × Time) / 100

Given;

Enrique deposited $4,700 into an account.

Enrique earned 1.65% annual simple interest on the money in the account.

Time= 4.5

Now,

SI= 4700*1.65*4.5/100

SI=348.975

Total= 4700+348.875

=5048.975

Therefore, the amount after simple interest of 1.65% will be $5048.975.

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Answer:

0.3 miles

Step-by-step explanation:

Using trigonometry : d

Tanθ = opposite / Adjacent

Tan 11 = d1 / 2

2tan11 = d1

0.3887606 miles  = d1

Tanθ = opposite / Adjacent

Tan 11 = d2 / 2

2tan18 = d2

0.6498393 miles  = d2

d2 - d1 = Distance flown within the minute

0.6498393 - 0.3887606 miles

= 0.2610787 miles

= 0.3 miles

Answer:

B

Step-by-step explanation:

Law of Sines:

Sin(a)/opposite side=Sin(b)/opposite

Sin(55)/x=sin(90)/59

Sin(55)/(Sin(90)/59)

sin(90)=1

Sin(55)/(1/59)

59Sin(55)=48.33

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Answer:

Step-by-step explanation:

Answer:

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