The summit of Mount Mauna Kea is approximately 13,796 ft above sea level. What is the distance from the summit to the horizon, rounded to the nearest mile
Answer:
About 145 miles.
Explanation:
Assume that the distance from the center of the earth to any point on the earth's surface is 4,000 miles.
Step-by-step explanation:
r
=
4000
v
=
13796
5280
(divide by 5280 to convert to miles)
Using Pythagorean's Theorem:
a
2
+
b
2
=
c
2
a
2
+
4000
2
=
(
4000
+
13796
5280
)
2
a
2
=
(
4000
+
13796
5280
)
2
−
4000
2
a
=
√
(
4000
+
13796
5280
)
2
−
4000
2
≈
144.6
Answer:
About 145 miles.
Explanation:
Assume that the distance from the center of the earth to any point on the earth's surface is 4,000 miles.
Step-by-step explanation:
r = 4000
v = 13796/5280
(divide by 5280 to convert to miles)
Using Pythagorean's Theorem:
a^2 + b^2 = c^2
a^2 + 4000^2 = (4000 + 13796 /5280)^2
a^2 = (4000 + 13796 /5280)^2 − 4000^2
a = √(4000 + 13796 /5280)^2 − 4000^2 ≈ 144.6
This is just a shrunk down version so it is easier to read. All credit goes to the other answer.
How many solutions does this system of equations have?
None
Exactly two
Exactly one
Infinitely many
Graph of a system of linear equations. Equation 1 is negative x plus 2y equals 6. Equation 2 is negative x plus 2y equals 0. The graphs of the lines are parallel.
Answer:
None
Step-by-step explanation:
If i'm being honest i don't remember why it was none when I took the quiz but I had a reason for choosing none and its correct. I promise
Answer:
none
Step-by-step explanation:
sorry I know everyone already knows but I could use the 20 points
La temperatura sube 15 grados Fahrenheit y luego baja 8 grados.Si la temperatura comenzará, -11 grados Fahrenheit.¿ que cambio de temperatura se requeriría para llevar la temperatura a 0 grados
Answer:
ok
Step-by-step explanation:
yes
From the sum of 2x-y+z and 2y -10, subtract 4x-2y-11
Answer:
-2x + 3y + z + 1
Step-by-step explanation:
evaluate the expression 9!/6!
A: 54,000
B: 2!
C: 3/2
D: 504
Answer: D) 504
Step-by-step explanation:
9! = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
6! = 6 x 5 x 4 x 3 x 2 x 1
Using this, we can rewrite the initial expression as:
9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 / 6 x 5 x 4 x 3 x 2 x 1
We can see that 6 x 5 x 4 x 3 x 2 x 1 is in both the numerator and the denominator, so we can cancel it out, leaving us with 9 x 8 x 7 which equals 504.
A puppy's weight increases by 15% each week for the first 6 months. The puppy currently weighs 3.7 pounds. Which expression will not calculate how much the puppy will weigh in 1 week?
Answer:
y=3.7+0.15(1)
Step-by-step explanation:
Note we are not given the options to choose from in this question, let us solve for the answer directly
Step one:
given data
The puppy's weight increases by 15% each week for the first 6 months
=0.15
The puppy currently weighs 3.7 pounds
Step two:
let the number of weeks be x
and the weight after x weeks be y
so
y= 3.7+0.15x
after 1 week the expression to calculate the weight is
y=3.7+0.15(1)
2 (29+1.5) = 18-9
Can you answer this step by step please.
Answer:61=9
Step-by-step explanation:
2(29+1.5)=18-92(29+1.5)29+1.5=30.52*30.5=6118-9=961=9Sorry for annoying you guys just need answers
Eric rented a truck for one day the base fee was 16.95 for additional charge of .76 cents for each mile driven eric had to pay 152.23 when he returned the truck how many miles did he drive
Answer:
178 miles
Step-by-step explanation:
Let Eric has driven d miles.
As the rate of charge of driving the truck = 76 cents /mile
So, the charge of driving the truck for d miles = 76d cents= $0.76d
The base fee of the truck was $16.95.
Total money paid at the time of returning the truck = $152.23
So, 16.95+0.76d=152.23
0.76d= 152.23-16.95=135.28
d=135.28/0.76
d=178
Hence, he drives 178 miles.
Tom has already baked 4 cakes, and he can bake 1 cake with each additional stick of butter he buys. How many additional sticks of butter does Tom need in order to bake a total of 42 cakes?
Answer in the number of additional sticks of butter.
Answer:
since it takes 1 additional stick to bake a cake,then it takes 84 additional sticks to bake 42 cakes
Which of these expressions is equivalent to -2(x−5)?
-2x−5
-2x+5
-2x+10
-2x−10
Answer:
c. -2x+10
Step-by-step explanation:
distributive property
(-2)x-(-2)5= -2x-(-10)
keep change change
-2x+10
where the answer is -2x+10
Answer:
-2x-10
Step-by-step explanation: so WE CAN SLOVE THIS EQUATION BY distrubutive property, -2 times x = -2x, we got 1 part of the equation. Now we distrubute -2 and -5.
-2 x -5 = -10.
So we get = -2x-10
There were 120 students at the creative shop writing workshop last year. This year there are 138 students. What is the percent of increase in the number pf students at the workshop?
Answer:
258
Step-by-step explanation:
Given the line q and r are parallel lines and m <3=123 find other angle measure
.............................. us to be a good day at work and I don't know what to do it again and again and again and again and again and again and again and again
Answer please thanks
Answer:
(2A /h) - b1 = b2
Step-by-step explanation:
A = 1/2 h ( b1 + b2)
Multiply each side by 2
2A = 2*1/2 h ( b1 + b2)
2A = h ( b1 + b2)
Divide each side by h
2A/h= h/h ( b1 + b2)
2A/h= b1 + b2
Subtract b1 from each side
2A /h - b1 = b2
Select the correct locations on the graph.
Select the lines that represent functions.
All the lines given represent functions except the vertical line given which is attached below.
What is a Function?In a function, every x-values has only one possible y-value. Two x-values can have the same y-value but one x-value cannot have two different y-values. That is why a vertical line graph cannot in anyway represent a function.
An horizontal line graph is a constant function graph. Thus, all the lines represent functions except the vertical line that is attached below.
Learn more about functions on:
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Answer:
the diagonal line is a function and the line going from left to right is a function :)
Step-by-step explanation:
Solve: 3,125 = 5–10 + 3x
Answer:
x = 3130/3
Step-by-step explanation:
3125 -5 +10 = 3X
3130 = 3x
x = 3130/3 or 1043 1/3
Given: Quadrilaterals ABCD ~ EFGH , with measure of angle A = 47 degrees, measure of angle B = 39 degrees, and measure of angle C = 112 degrees. Find: Measure of angle F and measure of angle H.
Answer:
The answer is below
Step-by-step explanation:
Two polygons are said to be congruent if they have the same size and shape that is their corresponding angles and sides are equal.
Hence since Quadrilaterals ABCD is congruent to EFGH, then their corresponding angles and sides are equal.
In quadrilateral ABCD:
∠A + ∠B + ∠C + ∠D = 360° (sum of angles in a quadrilateral)
Substituting:
47 + 39 + 112 + ∠D = 360
∠D + 198 = 360
∠D = 360 - 198
∠D = 162°
The image of Quadrilaterals ABCD and EFGH is not given but let us assume that they have the same orientation, hence:
∠A = ∠E = 47°
∠B = ∠F = 39°
∠C = ∠G = 112°
∠D = ∠H = 162°
Donell compared the hours students spent each day on social networks to the hours they spent on homework. His data is shown below. Which statements are true? Check all that apply.
2 dots plots. A dot plot titled Number of hours spent on social networks goes from 0 to 4.5. 0 has 3 dots, 0.5 has 5 dots, 1 has 2 dots, 2.5 has 4 dots, 3 has 3 dots, 3.5 has 1 dot. A dot plot titled Number of hours spent on homework goes from 0 to 4.5. 0 has 1 dot, 0.5 has 1 dot, 1 has 4 dots, 1.5 has 8 dots, 2 has 3 dots, and 4.5 has 1 dot.
The mean number of hours spent on each activity are equal.
There is a greater variability in the hours spent on social networks.
The average student spends more time on homework than on social networks.
The range for the number of hours spent on homework is greater.
Students are more consistent in the time spent on homework than the time spent on social networks
Answer:
The answers are at A, D, and E
Step-by-step explanation:
It's right on Edge
Answer:
hes right ↑
Step-by-step explanation:
At an expected rate of return of 7% compounded semi-annually, what is the expected percentage growth of a portfolio after 4 years?
Answer:
The expected growth is 17.2%
Step-by-step explanation:
Let us have a present initial value of 500
we then proceed to get the value after 4 years
We use the compound interest formula to get the amount
That will be;
A = P( 1 + r/n)^nt
P = 500
r = 4% = 4/100 = 0.04
n is 2: semi annually means twice per year
t is 4
So
using the formula, we have that;
P = 500(1 + 0.04/2)^(2 * 4)
= 500(1.02)^8
= 586 approximately
So the percentage growth rate is as follows
(586-500)/500 * 100
= 86/500 * 100 = 17.2%
Coding Problem
Research department eight employees budget of $11,500 department
Answer:
d. 80:8:3
Step-by-step explanation:
The question
For each $ 200 spent by the research department, sales department spends $ 20.For every $ 400 spent by the sales department the advertising department spends $ 150. The triple ratio of the money spent by the research department to the money spent by the sales department to the money spent by the advertising department fan be expressed as 2:1:5 b. 20:4:1 c. 40:8:3 d. 80:8:3
Research department : Sales Deptt: Advert Deptt
$ 200 : $ 20
$4000 : $ 400 : $150
( multiplying 400 with 10 to get the research department proportion)
400 : 40 :15 (dividng by 10)
80 : 8 : 3 ( dividing by 5)
Here we see that the ratio between the research department and the sales department is 10 :1 ( 200: 20)
Keeping the same ratio for the proportion given 400: 150 the $ 400 is multiplied with 10 to get the proportion of the research department.
Then we obtain 4000: 400: 150 which is reduced first by dividing with 10 and then 5 .
Find the sum of (x + 5),(-4x - 2) and (2x - 1)
Answer:
-x + 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
(x + 5) + (-4x - 2) + (2x - 1)
Step 2: Simplify
Combine like terms (x): -x + 5 - 2 - 1Combine like terms (Z): -x + 2Help me please 40 points for this math question
Answer: The answer is C
Step-by-step explanation:
A recipe calls for 2 cups of water for every 3 cups of flour. How much water is needed if you use 12 cups of flour?
Answer:
8
Step-by-step explanation:
Answer:
8 cups of water
Step-by-step explanation:
2 cups of water = 3 cups of flour
x cups of water = 12 cups of flour
12/3=4
2x4= 8
The original price of the shirt is $50 but you paid $30 for it on sale what was the percentage change in price
40% was the percentage change in price.
What is percentage?A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
Given, The original price of the shirt is $50 but you paid $30 for it on sale
From the general formula of percentage change:
Percentage change = change in value / original value * 100
In our case,
Original value = 50
Change in values = 50 - 30
Change in values = 20
Percentage change = 20/50 * 100
Percentage change = 40
Therefore, the percentage change in price was 40%.
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Here is a picture of a circle. Each square represents 1 square unit.
Explain why the area of the circle is less than 4 square units.
Answer:
No picture?
Step-by-step explanation:
i need a picture to anwser
need help :)........
Algebra 2. solve each equation. remember to check for extraneous solutions
(p-2)/(p-4)=(p^2-6P)/(P-4) - (P+5)
Answer:
p=11/4
Step-by-step explanation:
Solve the rational equation by combining expressions and isolating the variable p .
73.9 meters is equal to
kilometers
Answer:
0.0739 kilometers is the answer
Answer: meter = 73.9 ⇌ kilometer = 0.0739
Step-by-step explanation:
73.9 meters = 0.0739 kilometer
Formula: divide the value in meters by 1000 because 1 kilometer equals 1000 meters.
So, 73.9 meters = 73.9/1000 = 0.0739 kilometer.
Hope that help you out :)
Complete the proof that AFGH isn't similar to AJIH.
(3 · x ) · 7
what is the simplified answer to this question?
Answer:
21x
Step-by-step explanation:
In the parentheses, 3 * x is the same thing as 3x. Distribute 7 into 3x to get 21x as your final answer.
Answer:
21x would be the answer