Solve for x
-13 > 2x – 5 or 2x – 5 > 17
\(~~~~~-13 > 2x-5~~~~~ \text{or}~~~~~~~2x -5 > 17\\\\\implies -13+5 > 2x~~~~~\text{or}~~~~~~~ 2x > 17+5\\\\\implies -8 > 2x~~~~~~~~~~~~\text{or}~~~~~~~2x > 22\\\\\implies -\dfrac 82 > x~~~~~~~~~~~~~\text{or}~~~~~~~x > \dfrac{22}2\\\\\implies -4 > x~~~~~~~~~~~~~~\text{or}~~~~~~~x > 11\\\\\implies x < -4~~~~~~~~~~~~~~\text{or}~~~~~~~x > 11\\\\\text{Hence,}~ x < -4 ~\dispaystyle \vee ~ x > 11\)
An incident ray of light strikes water at an angle of 30°. The index of refraction of air is 1. 0003, and the index of refraction of water is 1. 33. What is the angle of refraction rounded to the nearest whole number? 22° 24° 30° 42°.
The measure of the angle of refraction is 22 degress, the correct option is A.
What is the angle of refraction?
The angle made by a refracted ray with a perpendicular to the refracting surface.
Given
An incident ray of light strikes water at an angle of 30°.
The index of refraction of air is 1. 0003, and the index of refraction of water is 1. 33.
In order to determine the angle of the refracted ray, we may apply Snell's law, which states that the ratio of the sines of the angles of incidence and refraction is constant for a given wave when it passes through two different media.
The angle of the refraction is given by;
\(\rm 1.0003 \times sin(30) = 1.33 \times sin(\phi)\\\\ \rm 1.0003 \times 0.5 = 1.33 \times sin(\phi)\\\\Sin\phi=\rm \dfrac{1.0003 \times 0.5 }{1.33}\\\\Sin\phi=0.37\\\\\phi = 22\)
Hence, the measure of the angle of refraction is 22 degress.
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Answer:
The angle of refraction is 15°.
Step-by-step explanation:
Solve the equation below to one decimal place.
5^(X-2)=7
x= __________________
Answer:
x = 3.2
Step-by-step explanation:
Take the log of both sides to remove the variable from the exponent.
x = 2 + ln(7)/ln(5)
Finding Slope and Graphing Lines. Please Help!
L is the slope 1 and K is the slope 2.
Given,
From the graph:
To find the graphing lines and slopes
Now, According to the question:
Analysis the graph :
1) we can see that the line L : when level changed by one the vertical changed by one. The change in both directions is the same.
So, The slope is 1 .
The line K has aslope 2: when level changed by one, the vertical changed by two.
2) Slope is 1/3 : It means that when level changed by three, the vertical changed by one .
and, To see the graph.
Hence, L is the slope 1 and K is the slope 2.
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Luis eats 4 pieces of a pizza divided into 6 equal-sized parts. Omar eats 2 of the pieces. 46+26 models the total amount of pizza Luis and Omar ate. Which expression is equivalent to 46+26?
Answer:
Step-by-step explanation:
If m H= 68°, what is HI to the nearest tenth? Show your work.
Answer: HI = 5.3 cm
Let HI = x
GH = 2cm
m< H = 68 degrees
to find HI, we will need to apply the SOH CAH TOA RULE
HI = hypotenus
GH = adjacent
Cos 68 = adjacent / hypotenus
Cos 68 = 2 / x
Cross multiply
2 = x * cos 68
cos 68 = 0.3746
2 = x * 0.3746
Isolate x
x = 2/0.3746
x = 5.3cm
Therefore, HI is 5.3cm
if the concessionaire had fixed costs of $2,500 per night and the variable cost is $0.70 per hamburger, find the price of a hamburger that will maximize the nightly hamburger profit.
The optimal price considering the fixed costs of $2,500 per night and the variable cost of $0.70 per hamburger.
To find the price of a hamburger that will maximize the nightly hamburger profit, we need to consider the fixed costs, variable costs, and price per hamburger.
Step 1: Identify the fixed and variable costs.
Fixed costs: $2,500 per night
Variable cost: $0.70 per hamburger
Step 2: Define the profit function.
Profit = (Price per hamburger * Number of hamburgers sold) - (Fixed costs + Variable costs * Number of hamburgers sold)
Step 3: Find the price elasticity of demand (PED).
To maximize profit, we need to find the price where PED = -1, meaning that a 1% change in price results in a 1% change in quantity demanded. Unfortunately, without further information on the demand function, it is not possible to determine the exact price that will result in PED = -1.
In summary, to find the price of a hamburger that will maximize the nightly hamburger profit, we need more information on the demand function to determine the price elasticity of demand. With that information, we can find the optimal price considering the fixed costs of $2,500 per night and the variable cost of $0.70 per hamburger.
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you're planning on making 5 meatloafs for a party. you go to the store to buy breadcrumbs, and see they are sold by the canister. how many canisters do you need to buy?
Without decimal, 4 canisters need to buy for making 5 meatloafs for party or if answer in decimal values needed then it is 3.333 canisters.
From the provided data, we have
number of meatloafs = 5
Here we have need the cup measurements the number of meatloafs made per recipe and the net weight of canister.
net weight of the contents of 1 canister = 15 ounces
1 cup = 8 ounces
1.25 cups = 10 ounces
10 ounces of breadcrumbs makes 1 meatoafs.
but we made 5 meatloafs so, for 5 meatloaf needed breadcrumbs = 5×10
= 50
If we consider 4 canisters then
15ounces × 4 canisters = 60 ounces which are 10 more than the needed ( > 50 ounces.
and if we are consider 3 canisters then
15 ounces × 3 canisters = 45 ounces which is not enough.
So, we need 4 canisters of breadcrumbs and we will have 2/3 of a canister left over.
approximately 3.333 is a value of needed canisters in decimals values. If decimal values are not need ,i.e, whole are canisters are not partial then 4 canisters is right .
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Complete question:
you're planning on making 5 meatloafs for a party. you go to the store to buy breadcrumbs, and see they are sold by the canister. how many canisters do you need to buy?
First, determine what information you need to answer this question, then click here to display that info (along with other info).
How much breadcrumbs does the recipe call for? It calls for 1 1/4 cups of breadcrumbs. How many meatloafs does the recipe make? It makes 1 meatloaf.
How many servings does that recipe make? It says it serves 10.
How big is the canister? It is cylindrical, 3.5 inches across and 7 inches tall.
What is the net weight of the contents of 1 canister? 15 ounces.
How much does a canister cost? $2.39
How much does a cup of breadcrumbs weigh? I'm not sure, but maybe something from the nutritional label will help.
Find the value of the question mark
PLEASE GIVE EXPLANATION
NO LINKS IN ANSWER
Answer:
The question mark is 4/7.
Step-by-step explanation:
Lets call the symbols Girl, Diamond, and Chest.
The second line has Diamond/Chest = 0
You can NEVER have zero on the bottom of a fraction. NEVER divide by 0. So this statement shows us that Diamond = 0
Now, look at the first statement.
Girl - Diamond = 5/7
Girl - 0 = 5/7
Girl = 5/7
We could use the third statement to find what the Chest equals. But let's skip it and save it to check our answer.
Look at the fourth statement.
Chest = 9/7 + Diamond
Chest = 9/7 + 0
Chest = 9/7
So far we found
Girl is 5/7 and
Chest is 9/7.
Do a check with the third statement.
2=Girl+Chest
2=5/7 + 9/7
2= 14/7
2= 2 That checks.
Lastly,
Chest - Girl = ?
9/7 - 5/7 = ?
4/7 = ?
What is the slope of the line on the graph?
Answer:
Step-by-step explanation:
The following synthesis is doomed to fail (the yield percent will be very low). Explain.
Insufficient reaction monitoring, impure reactants, unfavorable reaction conditions, or side reactions can contribute to a low-yield synthesis.
To provide an accurate assessment, I would need specific information about the synthesis you are referring to. However, I can give you some general reasons why a synthesis might fail or yield a low percentage:
Reaction conditions: Inadequate or incorrect reaction conditions, such as temperature, pressure, or pH, can hinder the synthesis process. If the conditions are not optimized for the desired reaction, the yield can be significantly reduced.Reactant purity: The purity of the starting materials is crucial for a successful synthesis. Impurities in the reactants can interfere with the reaction or lead to the formation of unwanted side products, reducing the overall yield.Reactivity or selectivity issues: Some reactions may have inherent limitations due to the reactivity or selectivity of the reactants involved. For example, if a reactant is highly unstable or prone to side reactions, it can decrease the yield. Additionally, selectivity issues can arise if the reaction forms multiple products, making it difficult to obtain the desired compound in high yield.Side reactions: Unwanted side reactions can occur during a synthesis, reducing the overall yield. Side reactions can be caused by impurities, incorrect reaction conditions, or reactive functional groups present in the reactants or solvents.Inefficient or incomplete reaction: If the reaction is inefficient or incomplete, the desired product may not form in significant quantities. This can occur if the reactants do not have sufficient contact or if the reaction kinetics are unfavorable.Poor reaction monitoring: Inadequate monitoring of the reaction progress can lead to errors in determining the optimal reaction time. If the reaction is allowed to proceed for too short or too long, it can result in low yields.Purification challenges: Even if the synthesis produces the desired product, purification steps can pose challenges. If the purification method is not suitable or effective, impurities may persist, reducing the overall yield.Inherent limitations: Some syntheses may have inherent limitations that make it difficult to achieve high yields. This could be due to the complexity of the desired compound, the presence of sensitive functional groups, or the need for multiple reaction steps.Remember, these are general factors, and the specific details of the synthesis will determine the likelihood of success or failure.
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izzy is calculating the amount of time it takes a rocket to get to the moon. the moon is around 239,000 miles from earth. how many hours would it take a rocket that can travel at 500 miles per minute to travel to the moon? round to the nearest hour.
Rounding to the nearest hour, it would take the rocket approximately 8 hours to travel to the moon at a speed of 500 miles per minute.
The amount of time it takes a rocket to travel to the moon, we need to divide,
the distance between the earth and the moon (239,000 miles) by the speed of the rocket (500 miles per minute).
So, the calculation would be:
239,000 miles ÷ 500 miles per minute = 478 minutes
To convert this into hours, we need to divide by 60:
478 minutes ÷ 60 = 7.97 hours
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Graph the proportional relationship, y = 5x.
Answer:
Hope the graph below helps.
Step-by-step explanation:
pls help if you can asap!!!!
Answer: A
Step-by-step explanation: I would say A because the angle is greater than 90 degrees
Answer:
We have supplementary angles.
76 + 3x + 2 = 180
3x + 78 = 180
3x = 102
x = 34
Identify: Expressions that are equivalent by using _______ of operations?
Help Me!!!!! Please.
Answer:
commutative
Step-by-step explanation:
im pretty sure this is correct but sorry if im wrong
A road rises 3 yards for every 16 yards measured on the surface of the road. How far does a car travel horizontally when it travels 3.5 miles along the road? Give your answer as a decimal number with units.
The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
The given road rises 3 yards for every 16 yards measured on the surface of the road. We have to determine how far does a car travel horizontally when it travels 3.5 miles along the road. 1 mile = 1760 yards Therefore, 3.5 miles
= 3.5 × 1760 yards
= 6160 yards
A road rises 3 yards for every 16 yards measured on the surface of the road.We need to find the distance a car travels horizontally
=\((distance\,travelled\,horizontally)^2 + (distance\,travelled\,vertically)^2
= (distance\,travelled)^2\)Let the distance a car travels horizontally
= x
We know, the road rises 3 yards for every 16 yards measured on the surface of the road. Therefore, the distance a car travels vertically
= \(\frac{3}{16}\) × distance a car travels horizontally
= \(\frac{3x}{16}\)
Using the Pythagorean Theorem,
=\(x^2 + \left(\frac{3x}{16}\right)^2
= (6160)^2\)\(x^2 + \frac{9x^2}{256}
= (6160)^2\)\(\frac{265x^2}{256}
= (6160)^2\)x²
= \(\frac{256 × 6160^2}{265}\)x
= \(\sqrt{\frac{256 × 6160^2}{265}}\)x
= 8926.03 yards
Therefore, the car travels 8926.03 yards horizontally when it travels 3.5 miles along the road. 1 yard = 0.000568182 miles
Therefore, the distance a car travels horizontally = 8926.03 × 0.000568182= 5.0761 miles (rounded to four decimal places) Hence, the car travels 5.0761 miles horizontally when it travels 3.5 miles along the road.
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giving brainliest for correct answer
Answer:
x ≤ -6
Step-by-step explanation:
This is a close circle, meaning it will have an equal sign.
The line goes to the left of -6, meaning x < -6
So, our inequality is x ≤ -6
a particle with velocity at any time t given by v(t)=et moves in a straight line. how far does the particle move from t=0 to t=2?
The distance traveled by the particle from t=0 to t=2 is e^2 - 1 units.
The particle moves in a straight line with velocity v(t) = e^t. To find the distance traveled by the particle from t=0 to t=2, we need to find the displacement of the particle in that time interval.
The displacement of the particle is given by the integral of the velocity function from t=0 to t=2:
∫v(t)dt = ∫e^tdt
Using the fundamental theorem of calculus, we can find the antiderivative of the velocity function and evaluate it at t=2 and t=0:
∫e^tdt = e^t |^2_0 = e^2 - e^0
The displacement of the particle from t=0 to t=2 is e^2 - e^0 = e^2 - 1.
Therefore, the distance traveled by the particle from t=0 to t=2 is e^2 - 1 units.
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There is a proportional relationship between the number of cookies and the number of packages 25 20 Number of Cookies 15 10 5 Number of Packages What is the constant of proportionality
I feel the answer would be B
Step-bystep explanation:
Jessica is hiring a plumber to remodel her bathroom. She knows that this job will take many hours to
complete, so she wants to find a plumber that costs less than $50 per hour (not including the fee for coming
out to her house). A number of plumbers submitted the cost of their most recent job. Which of the following
plumbers cost less than $50 per hour? Select two that apply.
Pattie's Plumbing charged $400 for a 7 hour job. There is no fee to come to the house,
Bill's Plumbing charged $180 for a 2 hour job. This includes a $100 fee to come to the house,
Tyrese's Plumbing charged $280 for a 3.5 hour job. This includes a $120 fee to come to the house.
Shannon's Plumbing charged $370 for a 5.5 hour job. This includes an $80 fee to come to the house.
Axel's Plumbing charged $220 for a 4 hour job. This includes a $10 fee to come to the house,
Answer:Tyreses plumbing and Bills plumbing
Step-by-step explanation:Tyrese:280-120=160/3.5=45.74
Bill:180-100=80/2=40
Miles is throwing three darts at the board shown below. His score is the sum of all three darts. How many different possible total scores could Miles get with three darts?
A. 450
B. 46
C. 12
D. 10
can someone help me?
Answer:
Z,X,Y,Z
Step-by-step explanation:
use hooke's law to determine the work done by the variable force in the spring problem. a force of 250 newtons stretches a spring 30 centimeters. how much work is done in stretching the spring from 10 centimeters to 40 centimeters? n-cm
Here is an example of an answer using Hooke's law to determine the work done by a variable force in a spring problem: A force of 250 newtons stretches a spring 30 centimeters. How much work is done in stretching the spring from 10 centimeters to 40 centimeters?
The formula for Hooke's law is
F = kx
where, F is the force applied, x is the extension or compression of the spring from its equilibrium position, and k is the spring constant.
To determine the spring constant, we can rearrange the formula as follows:
k = F/x
We know that a force of 250 newtons stretches a spring 30 centimeters, so the spring constant is:
k = 250/30
= 8.33 N/cm
To calculate the work done in stretching the spring from 10 centimeters to 40 centimeters, we can use the formula for work done by a variable force, which is given by the following formula:
W = 1/2k(x2^2 - x1^2)
where, W is the work done, k is the spring constant, x1 is the initial extension or compression of the spring, and x2 is the final extension or compression of the spring. In this case, x1 = 10 cm and x2 = 40 cm.
Therefore, the work done in stretching the spring from 10 centimeters to 40 centimeters is:
W = 1/2(8.33)(40^2 - 10^2)W
= 1/2(8.33)(1500)W
= 6247.5 N-cm
Therefore, the work done in stretching the spring from 10 centimeters to 40 centimeters is 6247.5 N-cm.
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how to find the proportion of adjustable/ fixed ratios
To find the proportion of adjustable/ fixed ratios, you will need to divide the number of adjustable items by the total number of items. For example, if you have 8 adjustable items and 10 total items, the proportion of adjustable items is 8/10, or 0.8.
To find the proportion of adjustable/fixed ratios, you need to follow these steps:
1. Identify the adjustable and fixed ratios in the question.
2. Convert the adjustable and fixed ratios into fractions.
3. Find the common denominator of the two fractions.
4. Multiply both the numerator and denominator of each fraction by the common denominator.
5. Subtract the numerator of the fixed ratio fraction from the numerator of the adjustable ratio fraction.
6. Simplify the resulting fraction if necessary.
For example, if you have an adjustable ratio of 2:3 and a fixed ratio of 1:4, you would first convert these ratios into fractions, 2/3 and 1/4. Next, you would find the common denominator, which is 12. You would then multiply both the numerator and denominator of each fraction by 12, resulting in 8/12 and 3/12. Finally, you would subtract 3 from 8 to get 5, and simplify the resulting fraction to 5/12. Therefore, the proportion of the adjustable/fixed ratios is 5/12.
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(picture included) brainliest
Answer:
A. y = -1/4x + 1 1/2
B. The rate of change is losing/decreasing -1/4 (y axis unit) per (x axis unit)
Step-by-step explanation:
A. Your equation is 2x + 8y = 12
so solve this for y like any other other question. Start by subtracting 2x from both sides: 8y = -2x + 12
then divide both sides by 8 to isolate y: y = -2/8x + 12/8
simplify your equation: y = -1/4x + 3/2
turn 3/2 into a mixed fraction: y = -1/4x + 1 1/2
B. The rate of change is the same thing as the slope but you say it with units. I cant see a scenario but you can say something like:
The rate of change is losing/decreasing -1/4 (y axis unit) per (x axis unit)
PLEASE ANSWER HONESTLY (PLEASE BE HELPFULL I HAVE BEEN STUCK ON THIS PROBLEM) WILL MARK BRANIEST IF CORRECT. (no links my computer is slow and no ctrl c ctrol v if possible
Given a right triangle with leg lengths f and g, and hypotenuse h, if f = 7 cm and h = 11.2 cm, what is g?
Show your work.
Step-by-step explanation:
o2+a2=h2
100} h^{2}=(10ft)^{2} +(17ft)^{2}
h2=100ft2+289ft2
h=389ft2−−−−−√
→19.7ft
this is an example on how to do it
The value of g in the given right triangle is 13.20 units.
What is the Pythagoras theorem?Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named Perpendicular, Base and Hypotenuse.
Given that, a right triangle with leg lengths f and g, and hypotenuse h, if f = 7 cm and h = 11.2 cm,
We need to find the value of g the hypotenuse,
So, here using the Pythagoras theorem,
f²+h² = g²
Therefore,
11.2²+7² = g²
g² = 174.44
g = 13.20
Hence, the value of g in the given right triangle is 13.20 units.
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G. 9−7+{−2+3−[4−2+(3+2)−7]+8} h. – {- [ (14 - 7) - (32 - 41)]} i. – [(-8 + 3) + (- 21 – 12)] j. 500 – {( 6 – 18 + 4 + 3 + 16 - 10 – 2) – 5 } k. (9 + 7 – 2 + 4) – ( 9 -12 )
Answer:
g. 9−7+{−2+3−[4−2+(3+2)−7]+8} = 11
h. – {- [ (14 - 7) - (32 - 41)]} = + 16
i. – [(-8 + 3) + (- 21 – 12)] = + 38
j. 500 – {( 6 – 18 + 4 + 3 + 16 - 10 – 2) – 5 } = 506
k. (9 + 7 – 2 + 4) – ( 9 -12 ) =21
Step-by-step explanation:
These questions are solved by solving the small brackets, then square brackets and then the curly brackets.
g. 9−7+{−2+3−[4−2+(3+2)−7]+8}
= 9−7+{−2+3−[4−2+(5)−7]+8} Solving inner small brackets
= 9−7+{−2+3−[9−2−7]+8} Solving outer square brackets
= 9−7+{−2+3−0 +8} Solving curly brackets
=9−7+{9} Adding like terms ( adding positive terms)
= 18-7
= 11
h. – {- [ (14 - 7) - (32 - 41)]}
= – {- [ (14 - 7) - (-9)]} Solving inner small brackets
= – {- [ (7) +9]} Solving inner small brackets
= – {- [ 16 ]} Solving outer square brackets
= – {- 16 } Solving curly brackets
= + 16 (-*-= +)
i. – [(-8 + 3) + (- 21 – 12)]
= – [(-8 + 3) + (- 33)] Solving inner small brackets
= – [(-5 - 33)] Solving inner small brackets
=– [( - 38 )] Solving outer square brackets
= + 38 (-*-= +)
j. 500 – {( 6 – 18 + 4 + 3 + 16 - 10 – 2) – 5 }
= 500 – {( 6 + 4 + 3 + 16 – 18 -10 – 2) – 5 } Solving inner small brackets
= 500 – {( 29 – 30) – 5 } Solving inner small brackets
= 500 – {( – 1) – 5 } Solving inner small brackets
= 500 – { – 6} Solving curly brackets
= 500 + 6 (-*-= +)
= 506
k. (9 + 7 – 2 + 4) – ( 9 -12 )
= (9 + 7 + 4– 2 ) – ( -3 ) Solving inner small brackets
= (20 – 2 ) – ( -3 ) Solving inner small brackets
= (18 ) – ( -3 ) (-*-= +)
= 18 +3
=21
Which angles are corresponding angles?
O <3 and 27
O 1 and 7
O 4 and 6
O 1 and 8
Answer:
right angle so 12
Step-by-step explanation:
c
Can anyone solve this ASAP WORTH 100 points.
Answer:
yea i can help
Step-by-step explanation:
Answer:
MN = 20
QR = 80
PR = 100
AB = 76
[Computational] Solve the equation ϕ(n)=42. (You are not required to justify that no additional solutions exist.)
The solution to the equation ϕ(n) = 42 is n = 42.
To solve the equation ϕ(n) = 42, where ϕ(n) represents Euler's totient function, we need to find the value of n. The totient function ϕ(n) gives the count of positive integers less than or equal to n that are coprime with n.
To find the value of n, we can start by understanding the properties of the totient function. The totient function ϕ(n) is multiplicative, which means that for two coprime positive integers a and b, ϕ(a * b) = ϕ(a) * ϕ(b). Additionally, for any prime number p, ϕ(p) = p - 1.
Since we need to find the value of n such that ϕ(n) = 42, we can try to express 42 as a product of distinct prime factors. 42 can be written as 2 * 3 * 7.
Now, let's consider the prime factors and their corresponding values of ϕ(p) - 1:
ϕ(2) = 2 - 1 = 1
ϕ(3) = 3 - 1 = 2
ϕ(7) = 7 - 1 = 6
To get ϕ(n) = 42, we need to combine the prime factors in such a way that the values of ϕ(p) - 1 multiply to give 42. One possible solution is n = 2 * 3 * 7 = 42.
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