Answer:
47.728, so 50
Step-by-step explanation:
Find the height of the tree if the tree's shawdow is 24 feet, the stick person's height is 5 feet, and the stick person's shadow is 8 feet.
The height of the tree and its shadow, and the height of the person and its shadow, at the same time of the day, form two similar right triangles:
Since both triangles are similar, then the corresponding sides are at the same ratio so that:
\(\begin{gathered} \frac{\text{height tree}}{\text{height person}}=\frac{shadow\text{ tree}}{shadow\text{ person}} \\ \frac{x}{5}=\frac{24}{8} \end{gathered}\)From this expression, you can determine the height of the tree, just multiply both sides of the equal sign by 5:
\(\begin{gathered} 5\cdot\frac{x}{5}=5\cdot\frac{24}{8} \\ x=5\cdot3 \\ x=15ft \end{gathered}\)The height of the tree is 15 feet.
The ad for White House applesauce cups describes how the product provides 100 percent of your daily Vitamin C in every cup. What kind of an advertising appeal is this ad using
The advertising appeal used in this ad is a health appeal. The ad promotes the nutritional value of White House applesauce cups by highlighting that they provide 100% of daily Vitamin C in every cup.
This appeal focuses on the health benefits of the product, suggesting that consuming it will be good for one's well-being.
By emphasizing the nutritional value of the product, this appeal targets consumers who are concerned about their health and wellness. It suggests that by choosing White House applesauce cups, consumers can ensure they are getting an important nutrient without having to consume additional supplements or make other changes to their diet.
Overall, health appeals are a powerful marketing technique, as many people prioritize their health and are willing to pay more for products that they perceive as being beneficial for their well-being. By using this appeal, the ad for White House applesauce cups seeks to influence consumers to purchase the product based on its perceived health benefits.
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Although, Lara Croft was successful at stopping the enemy in
Tomb Raider, it was discovered that one artifact is still missing.
Luckily, the whereabouts are known: A cruise ship leaving
Seattle. By the time Ms. Croft arrives in Seattle, she has missed
the boat by 5 hours. What should she do?
FACTS:
- The cruise ship can go 528 mi in one day.
- A speedboat travels 100 miles in 2.5 hours.
- A helicopter goes 90 mph, but takes 3.5 hours to get to the harbor.
what should Ms. Croft do? Prepare a poster answering this question
with multiple representations of your thinking.
Answer:
The time it takes Ms. Croft to reach the cruise ship by speedboat = 6.11 hours
The time it takes Ms. Croft to reach the cruise ship by helicopter = 6.25 hours
since it takes less time for Ms. Croft to reach the cruise ship by taking the speedboat, her best choice to retrieve the artifact is to take the speedboat.
Step-by-step explanation:
The given parameters are;
The elapsed time by which Ms. Croft missed the boat = 5 hours
The speed of the cruise ship = 528 mi/day
The speed of the speedboat = 100 miles in 2.5 hours
The speed of the helicopter = 90 mph
The time it would take Ms. Croft to arrive at the harbor = 3.5 hours
Therefore, we have;
The cruise ship's speed = 528 miles per 24 hours = 528/24 mph = 22 mph
The location of the cruise after the first 5 hours = 5 × 22 = 110 miles
The speed of the speedboat = 100 miles per 2.5 hours = 100/2.5 = 40 mph
By traveling with a speed boat
The time at which Ms. Croft will intercept the cruise ship is given by the following relation;
40 mph × t = 22 mph × t + 110 miles
Which gives;
40 mph × t - 22 mph × t = 110 miles
18 mph = 110 miles
t = 110 miles/(18 mph) = 55/9 hours ≈ 6.11 hours
By taking the helicopter, we have;
Upon arrival at the harbor, after 3.5 hours, we find
90 mph × t = 22 mph × t + 22 mph × 3.5 hours + 110 miles
90 mph × t - 22 mph × t = 22 mph × 3.5 hours + 110 miles
68 mph × t = 77 miles + 110 miles = 187 miles
t = 187 miles/(68 mph) = 11/4 hours = 2.75 hours
The total time it takes Ms. Croft to reach the cruise ship by taking the helicopter = 3.5 + 2.75 = 6.25 hours
Therefore, since it takes less time for Ms. Croft to reach the cruise ship by taking the speedboat, her best choice to retrieve the artifact is to take the speedboat.
choose the description that best represents the transformation of f(x)- x^2 to g(x)=-(x-3)^2+1
Answer:
Step-by-step explanation:
Given equation: g(x)=-(x-3)^2+1
Original transformation is f(x)=x^2
Here, -f(x) reflects the graph of f(x) over the x-axis.
-f(x-3) is a horizontal shift of the graph of f(x) right by 3 units.
-f(x-3)+1 is a vertical shift the graph of f(x) upward by c units.
So, the graph of g(x)=-(x-3)^2+1 is obtained by above transformation of the graph of f(x).
The transformation of f(x) = x^2 to g(x) = -(x-3)^2 + 1 is a vertical stretch by a factor of -1, a horizontal shift 3 units to the left, and a vertical shift 1 unit up.
How to determine the transformationFrom the question, we have the following parameters that can be used in our computation:
f(x) = x^2 to g(x)=-(x-3)^2+1
The above equation implies that
g(x) = -f(x - 3) + 1
The interpretation of the above equation is as follows"
A reflected across the x-axis.A horizontal shift 3 units to the left A vertical shift 1 unit upRead more about transformation at
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Kannanaski Rapids drops 62 ft vertically over a horizontal distance of 920 ft. What is the slope of the rapids? a. -0.067 b. -0.001 c. -62 0 d. -14.8
The slope of the rapids is -0.067
Kannanaski Rapids drops 62 ft vertically
The horizontal distance of 920 ft.
tan θ is a commonly used trigonometric function along with other 5 functions. tan θ is also called as law of tangent. The tangent formula for a right-angled triangle can be defined as the ratio of the opposite side of a triangle to the adjacent side. It can also be represented as a ratio of the sine of the angle to the cosine of the angle.
Slope of Rapids= tanθ= \(\frac{y}{x}=\frac{-62}{920} \\\)
=-0.067
Therefore, the slope of rapids is -0.067.
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A circle has radius 6 units. for each arc length, find the area of a sector of this circle which defines that arc length.
1. 4π units
2. 5π units
3. 10 units
4. l units
Office Supplies: The Office Supplies account started the year with a $4,000 debit balance. During the year, the company purchased supplies for $13,400, which added to the Office Supplies Account. The inventory of supplies available at the end of the year totaled $2,554.1. The beginning balance of Office Supplies: 2. The amount to be adjusted (show your calculation): 3. The ending balance of the account after the adjustment (show your calculation):4. Adjusting Journal Entry (please include description): Date Account Debit Credit
1.The beginning balance should be $4,000
2.The amount to be adjusted is $2554
3.The ending balance of the account after the adjustment $2554
4. Office Supplies Account is $14846
Adjusting entry:An adjusting entry is an additional journal entry that is made at the end of the month or year. When any financial transaction is incurred for which the amount is not accrued yet or no financial transaction incurred for the accrued amount and in such case the adjusting entry is made to know the actual amount accrued in the month or year.
The adjustment entries are the additional entries to the recorded journal entries.
"Information available from the question"
The Office Supplies account started the year with a $4,000 debit balance
The company purchased supplies for $13,400,
The inventory of supplies available at the end of the year totaled $2,554.
Now, According to the question:
1. The beginning balance should be $4,000
2.The adjusted amount is
Opening balance = 4000
Add: New purchases = 13400
Balance after Purchase = 17400
Less: Year end balance = 2554
3. The ending balance is $2,554
4. The adjusting journal entry is
Dr. Supplies Expense Account is 14846
Adjustment in the year = Cr. 14846 (subtracted from the balance)
Office Supplies Account is 14846
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4.6x-9.3=27.5 NEED HELP asap
Answer:
x=8
Step-by-step explanation:
4.6x-9.3=27.5
+9.3 +9.3
-------------------------
4.6x=35.8
4.6x/4.6 35.8/4.6
x=8
Answer:
Itchipilities chomplong kalachuchi
a circle has a circumference of 615.44615.44615, point, 44 units. what is the radius of the circle? use 3.14 for \piπpi and enter your answer as a decimal. units
Answer:
98 units.
Step-by-step explanation:
Circumference = 2 * pi * radius
615.44 = 2 * 3.14 * r
r = 615.44 / (2 * 3.14)
=2 * 3.14
= 98 units.
help plz,.
cos5A - cosA / sin5A+sinA-2sin3A=cotA
prove it.
Answer:
here is your answer of the question
Answer:
hope it helps you have a great day keep smiling be happy stay safe
1.
Is the following statement a good definition? Why?
An integer is divisible by 100 if and only if its last two digits are zeros.
Answer:
It is, because it is clear and true. It also gets straight to the point.
Step-by-step explanation:
Help pls i need this righnow
State ture or false for the following statements.
A. Multiples of a number can be lesser in numerical value than the number itself. (True or False)
B. When I Multiply 2 numbers the result is a multiple of both numbers multiplied.
(Ture or False)
C. Factors of a number can be lesser in numerical value than the number itself.
(True or False)
Answer:
c true
Step-by-step explanation:
1st u read the problem and thensolve the problem
Answer:
A) false
B) true
C) true
Use mental math to find the quotient.
2,386.7 ÷ 100
Answer:
23.86700
Step-by-step explanation:
water is leaking out of an inverted conical tank at a rate of at the same time that water is being pumped into the tank at a constant rate. the tank has height and the the diameter at the top is . if the water level is rising at a rate of when the height of the water is , find the rate at which water is being pumped into the tank in cubic centimeters per minute.
The rate of water being pumped into the tank is approximately 4.68 cubic centimeters per minute.
Let r= the radius of the top of the tank,h= the height of the tank, and x=the current height of the water.
We can use similar triangles to relate the rates of change of the height and the radius of the water in the tank:
dx/dt = (r/t) dr/dt
where "t" is the slope of the cone, which is given by:
t = r/h
We can solve for dr/dt:
dr/dt = (dx/dt) * (h/r)
Now we can use the given information to solve for dx/dt:
dx/dt = 2 cm/min
x = 4 cm
h = 8 cm
r = (2/8)*h = 0.5h = 4 cm (using the fact that the ratio of the diameter to the height is 1:
2)
Substitute the values into the equation for dr/dt, and we get:
dr/dt = (2 cm/min) * (8 cm / 4 cm) = 4 cm/min
using the formula of volume of a cone to find the rate at which water is being pumped into the tank:
\(V = (1/3) * π * r^2 * h\)
Taking the derivative with respect to time, we get:
\(dV/dt = (1/3) * π * [2rh * dr/dt + r^2 * dh/dt]\)
Since the height of the tank is constant, dh/dt = 0. We know that dV/dt = 50 cm^3/min (since water is being pumped into the tank at a constant rate),
and we just calculated dr/dt. Substituting these values and the values for r and h that we previously calculated, we get:
\(50 cm^3/min = (1/3) * π * [(2*4 cm * 4 cm/min) + (16 cm^2 * 0)]\)
\(50 cm^3/min = (1/3) * π * 32 cm^2/min\)
\(150 cm^3/min = π * 32 cm^2/min * v\)
Solving for "v", we get:
v = 4.68 cm/min
hence, the rate of water being pumped into the tank is 4.68 cubic centimeters per minute.
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the mayor of a town has proposed a plan for the annexation of a new community. a political study took a sample of 800 voters in the town and found that 63% of the residents favored annexation. using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is more than 60%. testing at the 0.02 level, is there enough evidence to support the strategist's claim? step 4 of 7 : determine the p-value of the test statistic. round your answer to four decimal places.
As per the concept of hypothesis testing, the p-value of the test static is 0.0837
Hypothesis testing:
In statistics, when the alternative hypothesis is of the "greater than or greater than or equal to" type, the p-value can be calculated by calculating the probability of the z statistic being greater than the test statistic value.
Given,
Here we have the mayor of a town has proposed a plan for the annexation of a new community. and the political study took a sample of 800 voters in the town and found that 63% of the residents favored annexation. using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is more than 60%. testing at the 0.02 level.
Here we need to find the p-value of the test statistic.
While we looking into the given question we have identified the following hypothesis,
=> H0 : p <=0.6
=> H1: p > 0.6
And the value of alpha=0.02 p{reject H0 | H0 true} test statistic is a z from a 1 way 1 proportion test
So, the z value is z> 7.1286
Then the z value is calculated as,
=> 0.03/sqrt(0.6*0.63/800)
=> z = 1.3801
Therefore, the reject H0, the true proportion is greater than 60% and the p-value is 0.0837
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John can do a piece of work in 20 minutes and Abel in 30 minutes. How long will it take both Abel and John working together
The length of time it would take Abel and John to do the piece of work when working together is 12 minutes
How to find the time taken?John is able to do the piece of work in 20 minutes so in a single minute, John would have done:
= 1 / 20 minutes
= 1 / 20 of the job
In a minutes, Abel, who takes 30 minutes, would have done:
= 1 / 30 of the job
The time that it would take both of them together to do the job is the inverted value of the sum of the time it takes them to do a minute:
= (1 / 20 + 1 / 30 )
= 1/ 12
The inverted value is:
= 12 / 1
= 12 minutes
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if f(x)=3(x+5) +4/x, what is f(a+2)
Answer:
f(a+2)=3(a+7)+4/(a+2)
Step-by-step explanation:
To determinef(a+2) you need to substitute a+2 for each occurrence of x in the given function. See below for full explanation.
Explanation:
If
f(x)=3(x+5)+4/x
Then
f(a+2)=3(a+2+5)+4/a+2
Simplifying gives:
f(a+2)=3(a+7)+4/(a+2)
find the value of x please
Answer:
A. 40°Step-by-step explanation:
AO = CO = radius
AO = CO ⇒ AB = BC and m∠AOB = m∠BOC = ¹/₂m∠AOC
From BDOE:
m∠EOB + m∠OBC + m∠CDE + m∠DEO = 360°
(65° + 75°) + 90° + x + 90° = 360°
140° + 180° + x = 360°
x = 40°
Jeffrey is excited to graduate from high
school. His parents suggest celebrating
with a graduation dinner, so Jeffrey finds
a restaurant that will rent a private room
for $25. The restaurant will also charge
$7.50 to feed each quest.
Write an equation showing how the cost
of Jeffrey's graduation dinner, y, depends
on the number of guests, X.
Do not include dollar signs in the
equation.
Answer:
y=7.5x+25
Step-by-step explanation:
7.5x is the cost per person (average rate of change/slope)
25 is the y-intercept (the amout you start out with
and y is the total cost.
Please answer correctly !!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!
Answer:
47°
Step-by-step explanation:
they are parallel to each other
Answer:
47
Step-by-step explanation:
47 and x are alternate interior angles
How many solutions does 6x= 1 = 2x + 5 + 4x + 6 have?
A. No Solutions
B. Two solutions
C. Infinitely many solutions
D. One Solutions
Answer:
C. Infinitely many solutions
Step-by-step explanation:
Answer:
INFINITE SOLUTIONS
Step-by-step :(examples)
any value of x makes the equation true
true for all= infinite solutions
one solution= x=30
no solution= 7=0
EASY MATH QUESTION HELP! Which pair of angles are vertical angles in the picture below?
What are the interior angles in the picture below?
Answer:
B, 3 and 5
Step-by-step explanation:
Answer:
3 and 5 for number 1, 1,4,5 and 8 for number 2
Step-by-step explanation:
A blueprint of an apartment complex has a scale where 0.5 inches is equal to 3 feet. If the length of the laundry room is 2.5 inches on the blueprint, what is the length of the actual laundry room?
Answer:
15 feet
Step-by-step explanation:
A charity is conducting a raffle, and it sells one ticket each to 35 women and 21 men. If 5 winners are randomly selected, what is the probability that they are all men? Round to five decimal places.
Answer:
The probability that they are all men is 0.00533
Step-by-step explanation:
Here, we want to find the probability that all winners selected are men
Total number of ticket sold is 35 + 21 = 56
What this mean is that out of the 56, we are selecting 5 and out of the 21, we are selecting 5 also
So we use a combination formula;
21 C 5/ 56 C 5
= 20,349/3,819,816
The probability is; 0.00532721995
The probability that they are all men is 0.00533
y is 9 times as many as 4.
Answer:
36
Step-by-step explanation:
Basically it is = 9 x 4
Multiply the numbers
= 9 ⋅ 4
= 36
Solution = 36
aka
y = 36
It is recommended to drink 8 glasses of water per day. A glass of water contains approximately 237 mL. If Carmelo drank 7 glasses, approximately how many liters of water did he drink?
H. 3,059 L
B. 16. 59L
C. 1,359 L
D. 1,659 L
Answer:
d Because I just took the test and got it right
Evaluate 5/7÷1/7
I need help on bye
Answer:
5/7 ÷ 1/7 = 5
Step-by-step explanation
please hurry and help me on this!!!
Answer: Try the answer A
What are the solutions of x^2=-7x-8
The solutions to the quadratic equation x² = -7x - 8 are x equals \(\frac{-7 - \sqrt{17}}{2}, \frac{-7 + \sqrt{17}}{2}\).
What are the solutions to the quadratic equation?Given the quadratic equation in the question:
x² = -7x - 8
To find the solutions of the quadratic equation x² = -7x - 8, we can rearrange it into standard quadratic form, which is ax² + bx + c = 0, and apply the quadratic formula.
x² = -7x - 8
x² + 7x + 8 = 0
a = 1, b = 7 and c = 8
Plug these into the quadratic formula: ±
\(x = \frac{-b \± \sqrt{b^2 -4(ac)}}{2a} \\\\x = \frac{-7 \± \sqrt{7^2 -4(1*8)}}{2*1} \\\\x = \frac{-7 \± \sqrt{49 -4(8)}}{2} \\\\x = \frac{-7 \± \sqrt{49 - 32}}{2} \\\\x = \frac{-7 \± \sqrt{17}}{2} \\\\x = \frac{-7 - \sqrt{17}}{2}, \frac{-7 + \sqrt{17}}{2}\)
Therefore, the values of x are \(\frac{-7 - \sqrt{17}}{2}, \frac{-7 + \sqrt{17}}{2}\).
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At a clothing store , t-shirts cost $10 and sweatpants cost $15. If Autumn spends $220 after buying 16 items, how many did she buy of each?
Answer:
4 shirts and 12 pants
Step-by-step explanation:
10x + 15y = 220
x + y = 16
4 * 10 = 40
12 * 15 = 180
40 + 180 = 220