N
The accurate scale drawing shows
the positions of port P and a lighthouse L.
►
c)
N
Lindsey sails her boat from port P
on a bearing of 050°
She sails for 12 hours at an average
speed of 5 km/h to a port Q.
Ito-
L
p*
Scale: 1 cm represents 3 km.
a) Indicate the position of port Q on the drawing (use the x tool).
(2)
b) Find the distance, in km, of port Q from lighthouse L.
(1)
c) Find the bearing of port Q from lighthouse L.
)
(2)
Total marks: 5
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Answer:

21000

Step-by-step explanation:

2745 -> 3000

6.9 -> 7

3000 x 7 =

21000

Answer:

A

Step-by-step explanation:

since decimals are 10ths and 100ths places, you can translate such into fractions

hope this helps:)

Answer:

800 dollars

Step-by-step explanation:

The amount spent on equipment is 89% of the total

712÷89 = 8 x 100 = $800

The volume of the rectangular prism given its base area and its height is 264 units³.

A rectangular prism is a three-dimensional object that has six faces, 12 sides and 6 vertices.

Volume = length x width x height

base area x height

44 x 6 = 264 units³

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Answer:

Step-by-step explanation:

A geometrical shape that has 6 vertices and 9 edges is a triangular prism. A triangular prism is a three-dimensional object with two congruent...

Answer:

Triangular Prism

Step-by-step explanation:

Edge2022 :)

Answer: 20

Step-by-step explanation:

    Box plots give us the median just by looking at them. See attached.

Answer:

1 number= 4.5

2 number= 3.5

Step-by-step explanation:

Answer:

t=In(37/20)/0.046

Step-by-step explanation:

p=2000

r=0.046

A=3700

t=?

3700=2000e^0.046t

switch sides

2000e^0.046t=3700

Divide both sides by 2000

$2000e^0.046t/2000=$3700/2000

Simplify

e^0.046=37/20

Apply exponent rules

0.046=37/20

Solve 0.046t = ln(37/20)

t=In(37/20)/0.046

Answer:

See below for all information

Step-by-step explanation:

Given Information

Null and Alternate Hypotheses

Determine z-statistic

[tex]\displaystyle Z=\frac{p-p_0}{\sqrt{\frac{p_0(1-p_0)}{n}}}=\frac{\frac{33}{362}-0.10 }{\sqrt{\frac{0.10(1-0.10)}{362}}}\approx-0.5606[/tex]

Determine p-value from z-statistic

[tex]2\cdot P(Z < -0.5606)=2\cdot\text{normalcdf}(-1E99,-0.5606)\approx2\cdot0.28753\approx0.5751[/tex]

Draw conclusion of p-value based on given significance level

Since [tex]p > 0.05[/tex], we fail to reject the null hypothesis. This means that we do have sufficient evidence to say that the observed rate of inaccurate orders is equal to 10%, making it extremely likely that the null hypothesis is true.

Answer:

$ 1.932

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

5 goes in the top left under the 4 & 1 is 40 bring the 1 down drop the 6 next to the 1 write 16 under the 16 and you get 2 and at the very bottom write 0

Answer:

50-50

Step-by-step explanation:

If yoiu have 4 and divide it b

Answer:

1 ft = 12 in

1 in = (1/12) ft

30 in = (30/12) ft

30 in = 5/6 ft

The area of the surface that Jared needs to paint is:

2(12*9 + 15*9) - 2(5*6 + (5/6)*6) = 416 ft^2

Step-by-step explanation:

Answer:

3 gallons of paint

Step-by-step explanation:

Steps you have to take,

Formula:

[tex](A = lw)(2) + (A = lw)(2) - (A = lw)(2) - (A = lw)(2)[/tex]

[tex](wall 1)(2) + (wall 3)(2) - (window)(2) - (door)(2)[/tex] ↑

door = 30in by 6ft

30in to feet =  2.5 feet

[tex](A = 12(9))2 + (A = 15(9))2 - (A = 6(5))2 - (A =2.5(6))2[/tex]

[tex](A = 108)2 + (A = 135)2 - (A = 30)2 - (A = 15)2[/tex]

[tex](A = 216) + (A = 270) - (A = 60) - (A = 30)[/tex]

[tex]combine\\(A = 486) - (A= 90)\\(A = 396)[/tex]

396(2) =

792sq ft

We know that one gallon covers 350sq ft

792/350 =

2.26 gallons

(can't have .26 of a gallon so we round up)

Answer:

Step-by-step explanation:

Solution

The question is a bit obscure. The best choice I think, would be A. F(x) could equal something like y = x - 3. When y = 0, x = 3 or put the other way, when x = 3 y= 0.

Answer:

a5 = 122

Explanation:

Given:

Solve:

a1 = 2

a2 = -3a1+2 = -3(2)+2 = -4

a3 = -3a2 + 2 = -3(-4)+2 = 14

a4 = -3a3 + 2 = -3(14) + 2 = -40

a5 = -3a4 + 2 = -3(-40) + 2 = 122

Answer:

a₅ = 122

Step-by-step explanation:

What is a₅ for the sequence defined by:

[tex]\left\{\begin{array}{ccc}a_1=2\\a_n=-3a_{n-1}+2\\\end{array}\right\\\\\\\hrule[/tex]

Letting n=2:

[tex]a_n=-3a_{n-1}+2\\\\\\\\\Longrightarrow a_2=-3a_{2-1}+2\\\\\\\\\Longrightarrow a_2=-3a_{1}+2\\\\\\\\\Longrightarrow a_2=-3(2)+2\\\\\\\\\therefore a_2=-4[/tex]

Letting n=3:

[tex]a_n=-3a_{n-1}+2\\\\\\\\\Longrightarrow a_3=-3a_{3-1}+2\\\\\\\\\Longrightarrow a_3=-3a_{2}+2\\\\\\\\\Longrightarrow a_3=-3(-4)+2\\\\\\\\\therefore a_3=14[/tex]

Letting n=4:

[tex]a_n=-3a_{n-1}+2\\\\\\\\\Longrightarrow a_4=-3a_{4-1}+2\\\\\\\\\Longrightarrow a_4=-3a_{3}+2\\\\\\\\\Longrightarrow a_4=-3(14)+2\\\\\\\\\therefore a_4=-40[/tex]

Letting n=5:

[tex]a_n=-3a_{n-1}+2\\\\\\\\\Longrightarrow a_5=-3a_{5-1}+2\\\\\\\\\Longrightarrow a_5=-3a_{4}+2\\\\\\\\\Longrightarrow a_5=-3(-40)+2\\\\\\\\\therefore \boxed{\boxed{a_5=122}}[/tex]

answer is here about stem and leaf

Based on the calculation below, the Mean Absolute Deviation (MAD) of the test scores is 0.

The mean of the 6 test scores is first calculated as follows:

Mean = Sum of the test scores / Number of test scores = (48 + 61 + 73 + 76 + 76 + 74) / 6 = 68

We can now calculate the MAD of the test scores as follows:

MAD = Sum of deviations of all the test scores from the Mean / Number of test scores = ((48 - 68) + (61 – 68) + (73 – 68) + (76 – 68) + (76 – 68) + (74 – 68)) / 6 = 0 / 6 = 0

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Answer:

[tex]3x - y = -4[/tex]

Step-by-step explanation:

To make things easier, let's first find the equation in slope-intercept form ([tex]y = mx + b[/tex]  where m is the slope and b is the y-intercept.

1. Find the slope:

[tex]\frac{7 - 1}{1 - (-1)} = \frac{6}{2} = 3[/tex]

2. Find the y-intercept by plugging in (-1,1) into the equation [tex]y = 3x + b[/tex]

[tex]1 = 3(-1) + b[/tex]

so [tex]b[/tex] = 4

3. Therefore the equation of the line in slope-intercept form is [tex]y = 3x + 4[/tex]

4. To convert slope-intercept form into standard form, let's move the 3x over to the other side and divide by -1 to get rid of the negative.

Our result is [tex]3x - y = -4[/tex].

Hope this helps :)

Answer:

5 pounds and 12 ounces.

Step-by-step explanation:

Divide it all by 16, and you should get 5 with a remainder of 12 (which is the remaining ounces). Hope it helps ! ^_^

Answer:

5 pounds 12 ounces

Step-by-step explanation:

I copied the other answer

Answer: There is no zeros for this equation.

Step-by-step explanation: First, we use the quadratic formula and plug in values. -2 plus or minus the square root of 2^2 - 4*5*8.

The square root will be -39 (negative 39.) This is impossible without using complex numbers (you cannot use complex numbers to get a zero.) Negative square roots are not real. Thus, this equation has no real solution.

Answer:

15, C

Step-by-step explanation:

Any number is equally likely to appear. Therefore, we have 3/20 * 100 = 15. This is C.

Hope this helped!

~clouddragon

We know 4² = 16 , 4¹= 4

In this case we have :-

[tex] {4}^{x} = 14[/tex]

and we have to find the value of x

14 is less than 16 so x will be less than 2

14 is greater than 4 so x will be greater than 1

we can find the value of

[tex] {4}^{1.5} = {4}^{ \frac{3}{2} } \\ { (\sqrt{4}) }^{3} = {2}^{3} = 8[/tex]

so we can say 14 is much larger than 8 which means x will be much larger than 1.5

so according to above ideas we can say our answer is 2nd option which is 1.9037 is our answer

[tex]x \approx1.9037[/tex]

[tex]~~~~~~~4^x = 14 \\\\\implies \ln 4^x = \ln 14\\\\\implies x \ln 4 = \ln 14\\ \\\implies x = \dfrac{\ln 14}{ \ln 4}\\\\\implies x \approx 1.9037[/tex]

The ratio of girls to boys is 4:5.

For every four girls that are in the camp, there are five boys.

The ratio of girls to boys is 4/5.

The ratio of boys to girls is 5:4.

The ratio of boys to girls is 5/4.

The ratio of boys to girls is 1 1/4.

What are the ratios?

Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s). The sign used to denote ratios is :.

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The area of the figure presented in the image, which is formed by one right triangle and three rectangles is equal to an amount of 157 square kilometers.

In this question we understand that the area of the compound shape is the sum of the area of small rectangles and triangles:

[tex]A = \sum \limits^{n}_{i = 1} A_{i}[/tex]     (1)

Now we proceed to calculate the area of the compound shape:

A = 0.5 · (4 km) · (3 km) + (10 km) · (2 km) + (17 km) · (7 km) + (2 km) · (6 km)

A = 157 km²

The area of the figure presented in the image, which is formed by one right triangle and three rectangles is equal to an amount of 157 square kilometers.

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Answer:

x>-9

Step-by-step explanation:

1. bring x over to the other side to make it a positive (4+x>-5)

2. bring 4 to the other side (x>-5-4)

3. simplify (x>-9)

Answer:

11.18 is the missing length