y = 8 ∙ 3^x for x = 4 20 POINTS

Answer:

32 and 58.

Step-by-step explanation:

complementary angles add up to 90.

26+x=y

x+y=90

plug y=26+x into the above equation

x+26+x=90

2x=64

x=32

The angles are 32 and 58.

Answer:

Please read below:

Step-by-step explanation:

To calculate the area, you'll need πr². In this case, 3.14 * r²

If the radius is 50 feet, you'll calculate 50 * 3.14² which equals 492.98, or, B

Hope this helps :)

Answer:

oh I see. that's an interesting question but the problem is I hate maths

Answer:

11.50

Step-by-step explanation:

6x27=162

231+-162=69

69 divided by 6 is 11.5

11.5=11.50

11.50 is your answer

Answer:

$11.50.

Step-by-step explanation:

If there are 6 friends, and every ticket costs $27, then we need to multiply.

6 x 27 = 162.

Then, we subtract the cost of the tickets so we can find the total cost of the souvenir t-shirts.

231 - 162 = 69.

Since each of the 6 friends bought a souvenir t-shirt, we divide the total cost by the number of people.

[tex]\frac{69}{6}[/tex] = 11.5.

So, each t-shirt costs $11.50.

Answer: 7.44

Step-by-step explanation: DeltaMath

Answer:

3.24

Step-by-step explanation:

Answer:

$11.52

Step-by-step explanation:

18% of 64 is 11.52

Answer:

When the input is 5, the output is 11.

Step-by-step explanation:

Replace x with 5:  3(5) - 4 = 15 - 4 = 11

When the input is 5, the output is 11.

Answer:

The GCF is 2

Step-by-step explanation:

Here, we want to find the greatest common factors of the two terms

We have the terms written in terms of the products of their multiples as follows;

4c^3 = 2 * 2 * c * c* c

6m^2 = 2 * 3 * m * m

As we can see, the greatest common factor of the two is simple the value 2

Answer:

Step-by-step explanation:

Unless we set x^2 + 8x + 15 equal to zero, we don't have an equation to be solved.  I will assume that the problem is actually x^2 + 8x + 15 = 0.

The coefficients of this quadratic are {1, 8, 15}, and so the "discriminant" b^2 - 4ac is (8)^2 - 4(1)(15), or 4.  Because the discriminant is positive, we know that there are two real, unequal roots.

Continuing with the quadratic formula and knowing that the discriminant is 4, we get:

      -8 ± √4           -8 ± 2

x = ---------------- = --------------- , or x = -2 ± 1:  x = -3 and x = -5

          2                       2

Answer:

see explanation

Step-by-step explanation:

Substitute n = 7 into f(n)

f(7) = 5 + 8(7 - 1) = 5 + 8(6) = 5 + 48 = 53

f(n) = 5 + 8(n - 1) represents the nth term of an arithmetic sequence

f(n) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

By comparison, then

a₁ = 5 and common difference d = 8

Answer:

first option

Step-by-step explanation:

divide each side by 'wh' to get:

l = V/wh

Answer:

1 5/6.

Step-by-step explanation:

3 1/2 - 1 4/6

= 3 1/2 - 1 4/6

= 7/2 - 10/6        The LCM of 2 and 6 is 6 so:

= 21/6 - 10/6

= 11/6

= 1  5/6.

Answer:

RTS.

Step-by-step explanation:

This is an obtuse angle.

Answer:

The shortest combined distance along the path from the flagpole to Clue 1 to Clue 2 and to Clue 3 is approximately 1,031.025 feet

Step-by-step explanation:

The given coordinates of the clues for the treasure hunt are

The location of the first clue = 5 units north of the flag pole

The coordinates is (0, 5)

The location of the second clue = 6 units east of the flag pole

The coordinates is (6, 0)

The location of the final clue = 5 units south of the flag pole

The coordinates is (0, -5)

The flagpole is at the origin

The coordinates of the flagpole is (0, 0)

Each unit on the graph = 50 feet

From the drawing of the treasure hunt created with Microsoft Excel, the shortest distances between the clues are as follows;

The shortest distance between 2 points is a straight line

Therefore

The shortest length from the flagpole to Clue 1 = 5 - 0 = 5 units

The actual distance from the flagpole to Clue 1 = 5 units × 50 feet/unit = 250 feet

The length from Clue 1 to Clue 2= √(6² + 5²) = √(61) units

The actual distance from Clue 1 to Clue 2 = √(61) units × 50 feet/unit = 50·√61 feet

By similarity, the actual distance from Clue 2 to Clue 3 = 50·√61

The combined shortest distance along the path from the flagpole to Clue 1 to Clue 2 and to Clue 3 = (250 + 50·√61 + 50·√61) feet ≈ 1,031.025 feet

Answer:

2. 119

Step-by-step explanation:

Answer:

the answer to this is

14 + 6√5

Answer:

The 16ᵗʰ term of this sequence is 82

Step-by-step explanation:

Here,

First Term = a₁ = 9

Common Difference = (d) = 2

Now, For 16ᵗʰ term, n = 16

aₙ = a + (n - 1)d

a₁₆ = 7 + (16 - 1) × 2

a₁₆ = 7 + 15 × 5

a₁₆ = 7 + 75

a₁₆ = 82

Thus, The 16ᵗʰ term of this sequence is 82

-TheUnknownScientist

Answer:

True

Step-by-step explanation:

[tex] \sqrt{144} [/tex]

is a rational number.

It is also a perfect square which means it is an integer.

:)

Answer:

Step-by-step explanation:

True.  √144 = 12 (an integer) or 12/1, which is rational.

Answer: x=9

Step-by-step explanation:

24/36=6/x

24/36=2/3

2*3=6

3*3=9

Answer:

x= 12

Step-by-step explanation:

Answer:

Banana made=3.22

Pumpkin made=7.86

Rocky road ice cream made=1.89

Step-by-step explanation:

From the question we are told that

1st year sales(banana, pumpkin, and rocky road ice cream) [tex]S_1= 13\%[/tex]

2nd year sales:[tex]S_2=18.1\%[/tex]

Rocky road sales doubled

Banana sales increased by 50%

Pumpkin sales increased by 20%

Rocky road ice cream had one less percent then banana

Let

Banana =x

Pumpkin=y

Rocky road ice cream=z

Generally the first year equation is given mathematically as

[tex]x+y+z=13......(1)[/tex]

Generally the second year equation is given mathematically as

100% increase in Rocky road ice cream sales()z i.e double

[tex]2*z=2z[/tex]

50% increase in banana ice cream sales()x

[tex]=>1*0.50=0.5\\=>0.5+1x=1.5x[/tex]

20% increase in pumpkin(y)

[tex]=>1*0.20=0.2\\=>0.2+1x=1.2y[/tex]

Therefore second year equation is given as

[tex]1.5x+1.27y+2z=18.1.....(2)[/tex]

Generally where rocky road ice cream had one less percent of sales than the banana ice cream the equation is given as

[tex]1.5x-2z=1........(3)[/tex]

Therefore combining the three equations

x+y+z=13

1.5x+1.27y+2z=18.1

1.5x-2z=1

matrix form

[tex]\begin {bmatrix}1 & 1& 1 & 13\\1.5 & 1.2 & 2 & 18.1\\1.5 & 0 & -2 & 1\end{bmatrix}[/tex]

Generally the determinant of the first three columns

[tex]\triangle=1.8[/tex]

Solving with Crammers Rule by solving Determinant when;

Column 4 replace column 1

[tex]\triangle_1=5.8[/tex]

Column 4 replace column 2

[tex]\triangle_2=14.15[/tex]

Column 4 replace column 3

[tex]\triangle_3=3.4[/tex]

Therefore x is given my

[tex]x=\frac{\triangle_1}{\triangle}[/tex]

[tex]x=\frac{5.8}{1.8}[/tex]

[tex]x=3.22[/tex]

Therefore y is given my

[tex]y=\frac{\triangle_2}{\triangle}[/tex]

[tex]y=\frac{14.15}{1.8}[/tex]

[tex]y=7.86[/tex]

Therefore z is given my

[tex]z=\frac{\triangle_3}{\triangle}[/tex]

[tex]z=\frac{3.4}{1.8}[/tex]

[tex]z=1.89[/tex]

Therefore

Banana made=3.22

Pumpkin made=7.86

Rocky road ice cream made=1.89

Answer:

Step-by-step explanation:

Please see diagram attached.

Moon A and C are 100,000km + 10,000 = 110,000km from center of planet.

So they are 110,000 + 110,000 = 220,000km apart.

Answer:

Step-by-step explanation:

AC is 220000km according to the drawing:

Answer:

$4040.57

Step-by-step explanation:

A=P(1+(r/n))^nt

P = Principal = 3000

r = rate = 0.03

n = no. times payed each year = 2

t = years = 10

A = 3000(1 + (0.03/2))^(2x10)

A = 3000(1.015)^20

A = 4040.57 (2.d.p)

Hope this helped!

Answer:

4

Step-by-step explanation:

Answer:3

Step-by-step explanation:

Answer:

=1.283 , 0.779 seconds

Step-by-step explanation:

h=2+33t-16t²

when h=18 ft

then18=2+33t-16t²

→ 16t²−33t+16=0  

t= [−(−33)±√{(−33) ²−4×16×16)}]/(2×16)

= [33±√{1089−1024}]/(32)

= [33±√{65}]/(32)

=1.283 , 0.779 seconds