(10 times 2) + 5 times 8 =

Answer:

110°

Step-by-step explanation:

if we're looking for the bearing of C from A, the angle should be formed at A

then, starting from the north poles, move in a clockwise direction till you meet the line coming from C . then, sum up the angles involved.

which is = 45°+ 65° = 110°

therefore, the bearing of C from A is 110°

Answer:

65 miles

Step-by-step explanation:

Given:

Equation:

5 × 7 + k = 100

Solving:

⇒ 5 × 7 + k = 100

⇒ 35 + k = 100

⇒ k = 100 - 35

⇒ k = 65

now, we're assuming she made the deposit at the child's birth, namely when year was 0, at the child's twenty-first birthday that'll be 21 years later.

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$6000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &21 \end{cases} \\\\\\ A=6000\left(1+\frac{0.09}{12}\right)^{12\cdot 21}\implies A=6000(1.0075)^{252}\implies A\approx 39437.11[/tex]

Answer:

4

Step-by-step explanation:

It is 4 because the point rises 4 units up from the graph and runs 1 unit to the right which is 4/1 = 4.

Answer:

y = -1/5x + 2.6

Step-by-step explanation:

Put the equation into slope intercept form:

5x - y = 12

-y = -5x + 12

y = 5x - 12

The slope of a perpendicular line will be the opposite reciprocal.

So, the slope of the new line will be -1/5

Then, plug this slope and the given point into the equation y = mx + b to find b

y = mx + b

3 = -1/5(-2) + b

3 = 0.4 + b

2.6 = b

So, the equation will be y = -1/5x + 2.6

Answer:

32

P = 100 × 32%(0.32) = 32

Answer:

32

Step-by-step explanation: You multiply 100 by 0.32 which is 32% as a decimal

When the ball hits the ground,

h=0

vt�16t^2=0

64t-16t^2=0..

t(64-16t)=0

t=0 (reject, not reasonable)

or

64-16t=0

16t=64

t=64/16=4

How long will it take for the ball to hit the ground? 4 seconds

Answer:

n= -80

Step-by-step explanation:

Hope this helps! ;-)

Answer:

[tex]\huge\boxed{\sf n = -20}[/tex]

Step-by-step explanation:

Given Equation:

[tex]n=5(2k^2+2k-6)[/tex]

Put k = -2

[tex]n=5[2(-2)^2+3(-2)-6]\\\\n =5[2(4)-6-6]\\\\n=5(8-12)\\\\n= 5(-4)\\\\\boxed{n = -20}\\\\\rule[225]{225}{2}[/tex]

Answer:

x1 =-3+3[tex]\sqrt{2}[/tex] and x2=-3-3[tex]\sqrt{2\\}[/tex]

Step-by-step explanation:

x² + 6x-9 = 0

-6±[tex]\sqrt{6^{2}-4(1)(-9) }[/tex] / 2

-6±[tex]\sqrt{72}[/tex] /2

so

x1 = -6+[tex]\sqrt{72[/tex] /2

x1 =-3+3[tex]\sqrt{2}[/tex]

and

x2 = -6-[tex]\sqrt{72[/tex] /2

x2=-3-3    [tex]\sqrt{2\\}[/tex]

The solution -1 is an extraneous solution

Neither -1 nor -6 is a true solution to the equation.

Option D is the correct answer.

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We also find the solution in a system of equations using the substitution or elimination method.

Example:

2x + 4 = 8

The solution is x = 2.

We have,

To solve the equation x + 4 = √(x + 10), we need to isolate the radical term on one side of the equation and then square both sides to eliminate the radical.

Here are the steps:

x + 4 = √(x + 10)

Subtract 4 from both sides:

x = √(x + 10) - 4

Square both sides:

x² = (√(x + 10) - 4)²

Expand the right side using the formula (a - b)^2 = a^2 - 2ab + b^2:

x² = x + 6 - 8√(x + 10)

Move all terms to the left side:

x² - x - 6 + 8√(x + 10) = 0

To solve this equation, we can use a substitution u = √(x + 10):

u = √(x + 10)

Square both sides:

u² = x + 10

Substitute into the original equation:

(u² - 10) + 4 = u

Simplify:

u² - u - 6 = 0

Factor:

(u - 3)(u + 2) = 0

So u = 3 or u = -2.

But u = -2 leads to a negative value under the square root in the substitution u = √(x + 10), which is not allowed.

Therefore, we only consider u = 3, which gives:

√(x + 10) = 3

Square both sides:

x + 10 = 9

Subtract 10 from both sides:

x = -1

So the solution to the original equation is x = -1.

To check if it is extraneous, we need to substitute it back into the original equation:

x + 4 = √(x + 10)

-1 + 4 = √(-1 + 10)

3 = √9

3 = 3

The equation is true, so x = -1 is a valid solution and not extraneous.

Therefore,

Neither -1 nor -6 is a true solution to the equation.

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Answer:

-33.2

Step-by-step explanation:

Answer: The function h because the graphs of f and h are symmetrical about the line y=x.

Answer:

1/4

Step-by-step explanation:

y = a^x

1/16 = a^2

so the answer is 1/4

2 units down means y is decreased by 2

3 units left mean x is decreased by 3

So

for

The translation is

The mean and standard deviation for the GPA of the students will be 3 and 0.8165.

The mean simply means the average of a given set of numbers. The mean will be:

= 12/4

= 3

The standard deviation will be:

= ✓2/3

= 0.8165

The 95% confidence interval for the populations mean GPA will be 1.70 < U < 4.30. The interval lower limit is:

= 3.00 - 1.299.l

= 1.70

The interval upper limit will be;

= 3.00 + 1.299

= 4.30

Also, the regression line is Y = -1.2857 + 0.3571x.

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Answer:

V≈25.13in³

Step-by-step explanation:

Answer:

(2,8)

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer: 2 inches

At 8 days there will be 8/4 = 2

Difference = 2 - 0 = 2 inches

Step-by-step explanation:

= 3x - 2x + 24x

= 3 × 4 - 2 × 4 + 24 × 4

= 12 - 8 + 96

= 12 + 96 - 8

= 108 - 8

= 100

Answer:

The correct answer is 1/4 gallon.

Step-by-step explanation:

If we add all the fractions from the line plot, we will get 10/8 gallon.

10/8 divided by 5 is .25.

.25 converted to a fraction would be 1/4.

Hope this helps:) Goodluck!

Answer:

y = 6

1/3 indicates that we may have to multiply the number by 3 to get the whole number. Multiply 3 by the part given, 2.

3 × 2 = 6

Answer:

I think it is D, if I am wrong I am sooooo sorry

Answer:

A≈9248.85

Step-by-step explanation:

A=2πrh+2πr2=2·π·32·14+2·π·322≈9248.84877

The area of the triangle ABC with the coordinates A(6,0) B(1,5) C(2,0) is 10 square units

The coordinates are given as:

A(6,0) B(1,5) C(2,0) D(4,2)

The area of the triangle is calculated using:

Area = 0.5 * |Ax(By - Cy) + Bx(Ay - Cy) + Cx(Ay - By)|

Using the above formula, we have:

Area = 0.5 * |6 * (5 - 0) + 1 * (0 - 0) + 2 * (0 - 5)|

Evaluate the sum of products

Area = 0.5 * |20|

Remove the absolute bracket

Area = 0.5 * 20

Evaluate the product

Area = 10

Hence, the area of the triangle ABC is 10 square units

Read more about areas at:

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Answer:

53.90

Step-by-step explanation:

30.80/8=3.85 (price per pack)

3.85 x 14 = 53.90

Answer:

Step-by-step explanation:

Equation

-6(1-4v) = 3v-8(-6-6v)                  Use the distributive property to get rid of the brackets.

Solution

-6 + 24v = 3v +48 +48v              Combine

-6 + 24v = 51v + 48                     Subtract 24v from both sides

-6 +24v-24v =51v-24v +48         Combine.

-6 = 27v + 48                              Subtract 48 from both sides.

-6-48 = 27v+48-48                     Combine

-54 = 27v                                    Divide by 27

-54/27=27v/27

-2 = v

Answer

v=-2

Answer:

7(7x²-9x +1)

Step-by-step explanation:

49x²-63x+7

7(7x²-9x +1)

Answer:

B

Step-by-step explanation:

the biggest portion of the pie graph is labeled comedy, so that would be your answer.