Answer:
114.6 meters tall
Step-by-step explanation:
If you draw out the poles and shadows, you can connect the end of the shadow to the top of the pole. This creates two traingles that are proportional. This allows you to set up the proportion:
3.2 m / 1.18 m = x / 42.25 m
You can then cross multiple and get:
1.18x = (3.2)(42.25)
1.18x = 135.2
You can then divide and solve for x.
x = 114.6 m
X is a variable for the height of the taller pole, so you can simply add units and thats the height.
Which expression is equivalent to rootindex 3 startroot startfraction 10 x superscript 5 baseline over 54 x superscript 8 baseline endfraction endroot? assume x not-equals 0.
The equivalent expression of the given expression (10^5 / 54x^8)^1/3 would be equal to 5^(1/3) / 3x.
What is a fraction?A fraction represents a part of a number or any number of equal parts.
The expression is given as
[tex](10x^5 / 54x^8)^{1/3}\\\\(5 / 27x^3)^{1/3}\\\\5^{1/3}/ (27x^3)^{1/3}\\\\5^{1/3} / 3x[/tex]
This is the simplest form of expression.
Thus, the equivalent expression is 5^(1/3) / 3x.
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Answer:
D
i did the test
Using an absolute-value inequality, describe the set of numbers whose distance from 4 is greater than 5 units. Draw a graph of this set on a number line. Finally, describe this set of numbers using inequalities without absolute value signs.
The solution to the absolute-value inequality is x > 9; and x < -1
What is an inequality?An inequality is an expression that shows the nonequal comparison of two or more numbers and variables.
Let x represent the unknown number, hence:
|x - 4| > 5
(x - 4) > 5; and -(x - 4) > 5
x > 9; and x < -1
The solution to the absolute-value inequality is x > 9; and x < -1
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Lillian just got hired for a new job and will make $34,000 in her first year. Lillian
was told that she can expect to get raises of $3,500 every year going forward. How
much money in salary would Lillian make in her 20th year working at this job?
Answer: $104,000
Step-by-step explanation:
34,000+20x(3500)
34,000+70,000
pls help i thought i understood it but it was incorrect the first time
Subtraction property of equality
====================================================
Reason:
We subtract 18 from both sides to go from 4x+18 = 78 to 4x = 60
So we use the aptly named subtraction property of equality.
In general that rule is if a = b, then a-c = b-c
Can someone help me quick please ?
Let's look at the answer choices to see what the questions wants us to do with the data
⇒ essentially they compare Carol's mean or median to herself or to
Anna's mean or media
⇒ therefore we should calculate Carol's mean, median and Anna's
mean, median
Before we start calculating, let's define what is the mean and median
Mean: it is basically the average which is the sum of all numbers in the set divided by the number of numbers in that setMedian: it is the middle number of the set when the set is ordered from lowest to highestLet's calculate:
Carol's mean,median⇒ Carol's data ordered: 20, 30, 45, 60, 70
[tex]Mean = \frac{20+30+45+60+70}{5} = \frac{225}{5}=45\\ \\Median: 45[/tex]
Anna's mean, median⇒ Anna's data ordered: 30, 35, 45, 60, 65
[tex]Mean = \frac{30+ 35+ 45+ 60+ 65}{5} =\frac{235}{5} =47\\\\Median: 45\\[/tex]
Now using the data, let's compare:
first choice: Carol's mean is equal to her median--> correct
second choice: Carol's mean is not greater than Anna's mean--> incorrect
third choice: Anna's median isnot greater than her mean --> incorrect
fourth choice: Anna's mean is not equal to Carol's mean --> incorrect
Hope that helps!
Explain, using an example, that there can be two logarithmic expressions, logₓ₁M and logₓ₂N such that x1≠ x2 and M ≠ N, but logₓ₁M = logₓ₂N.
For all [tex]\log_{x_{1}} M[/tex] there is a [tex]\log_{x_{2}}N[/tex] such that [tex]N = M^{\frac{1}{\log_{x_{2}} x_{1}} }[/tex]. The logarithmic expression log ₂ 8 is equivalent to the logarithmic expression log ₃ 27.
How to find equivalent logarithms
Logarithms are trascedental function, that is, a function that cannot be described algebraically.
Let suppose we know that [tex]\log _{x_{1}} M = \log_{x_{2}} N[/tex] such that x₁ ≠ x₂. We proceed to prove that for all [tex]\log_{x_{1}} M[/tex] there is a [tex]\log_{x_{2}} N[/tex] by logarithm properties below:
[tex]\log_{x_{1}} M[/tex] Given[tex]\frac{\log_{x_{2}}M}{\log_{x_{2}}x_{1}}[/tex] Base change[tex]\frac{1}{\log_{x_{2}}x_{1}} \cdot \log_{x_{2}} M[/tex] Associative property[tex]\log_{x_{2}} M^{\frac{1}{\log_{x_{2}} x_{1}} }[/tex] [tex]n\cdot \log a = \log a^{n}[/tex][tex]N = M^{\frac{1}{\log_{x_{2}} x_{1}} }[/tex] ResultFor example, let suppose that x₁ = 2, M = 8 and x₂ = 3, then the value of N is:
[tex]N = 8^{\frac{1}{\log_{3} 2} }[/tex]
N = 27
Thus, for all [tex]\log_{x_{1}} M[/tex] there is a [tex]\log_{x_{2}}N[/tex] such that [tex]N = M^{\frac{1}{\log_{x_{2}} x_{1}} }[/tex]. The logarithmic expression log ₂ 8 is equivalent to the logarithmic expression log ₃ 27.
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If a person runs 1/3 mile in 1/9 of an hour what is the unit rate per hour
Answer:
3 miles per hour
Step-by-step explanation:
he runs 1/3 mile in 1/9 of an hour
then
he runs (we multiply both sides by 9)
9×(1/3) mile in 9×(1/9) of an hour
then
he runs
(9/3) mile in (9/9) of an hour
then
he runs
3 mile in 1 hour
The numbers of days 12 friends went camping during the summer are 6, 2, 0, 10, 3, 6, 6, 4, 12, 0, 6, and 2. Use the number line to identify the correct least value, first quartile, median, third quartile, and greatest value of the data.
Question 2
The range of the data is
.
Can someone hepl me solve this it is importaint thank you so much ?
4/7x5/3x3/4=?
Answer:
5/7 is the answers for the question
pls help im so confused
Step-by-step explanation:
I'm so sry! I'm working on the same thing.
May i please get some help
Answer:
Step-by-step explanation:
Finding the range is simple, just do 29-5 and you will get 24.
For the july one same applies 24-5=19
24-19 is 5 so It is 5 more than the range for July.
For the median, it is the middle data set meaning you will do 17-10 which is 7 meaning New years is 7 more than July.
Interquartile is For new years 12-17
The Interquartile range for July is 7-10 which means that is 5-3 which is 2 more of a range.
HELP ME I DONT DO MATH
Answer:
alright where's the question
image below i will give branliest
Answer:
3,7 is correct like the other person said
Compare the difference between an independent event and a dependent event.
Dependent event is when two events are dependent events, one event influences the probability of another event whereas independent event has no effect on the probability of another event occurring.
↪DEPENDENT EVENT
When two events are dependent events, one event influences the probability of another event. A dependent event is an event that relies on another event to happen first. Dependent events in probability are no different from dependent events in real life. If you want to attend a concert, it might depend on whether you get overtime at work. if you want to visit family out of the country next month, it depends on whether or not you can get a passport in time. More formally, we say that when two events are dependent, the occurrence of one event influences the probability of another event.
Simple examples of dependent events
Robbing a bank and going to jail.Not paying your power bill on time and having your power cut off.Boarding a plane first and finding a good seat.Parking illegally and getting a parking ticket.↪INDEPENDENT EVENT
An independent event is an event that has no connection to another event’s chances of happening (or not happening). In other words, the event has no effect on the probability of another event occurring. Independent events in probability are no different from independent events in real life. Where you work has no effect on what color car you drive. Buying a lottery ticket has no effect on having a child with blue eyes.
When two events are independent, one event does not influence the probability of another event.
Simple examples of independent events
Owning a dog and growing your own herb garden.Paying off your mortgage early and owning a Chevy Cavalier.Winning the lottery and running out of milk.Buying a lottery ticket and finding a penny on the floor.☆...hope this helps...☆
1=7/10x
solve the equation
Answer:
I hope it's 1=7/10x because if so it's gonna be
Step-by-step explanation:
X = 10/7
Answer:
1=7/10x
1=0.7x
divide 0.7 on both sides
x=1.4285 = x=1.43
will give brainliest if right!!! pls helppp
Answer:
i think B is the answer
Sophia wants to foster creativity in her organization. She finds an online training program that claims to teach people how to approach workplace challenges in a more creative way. Sophia is skeptical but decides to give it a try. She randomly selects 40 employees and randomly assigns half of them to complete the online training program (n
The type of test that will be required in the organization is a two samples test assuming unequal variance.
What is a hypothesis?It should be noted that a hypothesis simply means a statement of expectation that will be tested by research.
From the complete question, the type of test that will be required in the organization is a two samples test assuming unequal variance. This is performed on the data of two random samples.
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Use the series definition of sin to express sin (x4) as a power series centered at the origin. Explain why the power series converges for all real numbers.
Recall that
[tex]\sin(x) = \displaystyle \sum_{n=0}^\infty (-1)^n \frac{x^{2n+1}}{(2n+1)!}[/tex]
which converges for all real x. (One can show this with the ratio test, for instance.)
Then
[tex]\sin\left(x^4\right) = \displaystyle \sum_{n=0}^\infty (-1)^n \frac{\left(x^4\right)^{2n+1}}{(2n+1)!} = \boxed{\sum_{n=0}^\infty (-1)^n \frac{x^{8n+4}}{(2n+1)!}}[/tex]
By the ratio test,
[tex]\displaystyle \lim_{n\to\infty} \left|\frac{(-1)^{n+1} x^{8(n+1)+4}}{(2(n+1)+1)!} \times \frac{(2n+1)!}{(-1)^n x^{8n+4}}\right| \\\\ = x^8 \lim_{n\to\infty} \frac{(2n+1)!}{(2n+3)!} \\\\ = x^8 \lim_{n\to\infty} \frac1{(2n+3)(2n+2)} = 0[/tex]
12
Enter the correct answer in the box.
The graph of function g is created by applying these transformations to the parent tangent function:
• reflection over the x-axis
• horizontal stretch by a factor of 5
• vertical shift down 3 units
The transformed tangent function is:
g(x) = -5*tan(x) - 3
How to get the transformed function?We start with tangent function:
f(x) = tan(x).
First, we reflect our function over the x-axis, so we just have a change of sign as:
g(x) = -f(x).
Then, a horizontal stretch of scale factor of 5.
g(x) = -5*f(x)
Finally, a shift down of 3 units, this is:
g(x) = -5*f(x) - 3 = -5*tan(x) - 3
This is the transformed function.
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Sari is factoring the polynomial 2x2 5x 3. if one factor is (x 1), what is the other factor? 2x−3 2x 3 3x−2 3x 2
The other factor of the polynomial which Sari is factoring and found that the one factor of this equation is (x+1) is (2x+3).
What is a factor of polynomial?The factor of a polynomial is the terms in linear form, which are, when multiplied together, give the original polynomial equation as a result.
The polynomial which Sari is factoring is,
[tex]2x^2 +5x+ 3[/tex]
One factor of this equation is
[tex](x +1)[/tex]
Factor the given polynomial using the split the middle term method,
[tex]2x^2 +5x+ 3\\2x^2 +2x+3x+ 3\\2x(x+1)+3(x+1)\\(x+1)(2x+3)[/tex]
Thus, the other factor of the polynomial which Sari is factoring and found that the one factor of this equation is (x+1) is (2x+3).
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Students took an exam. Here are their grades. What is the class' mean grade? What
is the median grade?
(Round the average to the nearest whole number.)
65, 70, 70, 80, 80, 85, 85, 85, 90, 90, 100
Answer:
mean=81.81
median=85
Step-by-step explanation:
MEAN.
[tex] \frac{65 + 70 + 70 + 80 + 80 + 85 + 85 + 85 + 90 + 90 + 100}{11} [/tex]
[tex] = 81.81[/tex]
MEDIAN
Since it's already arranged in ascending order, the middle number is taken as the median
which is 85.
i hope this helps
Answer:
See below ↓↓
Step-by-step explanation:
Mean
Sum of grades / No. of grades65 + 70 + 70 + 80 + 80 + 85 + 85 + 85 + 90 + 90 + 100 / 10150 + 140 + 170 + 170 + 190 + 80 / 10500 + 320 + 80/ 11900/1181.81Median
The middle number is the median as the set has an odd number of data⇒ 85Edmundo bought 4 trading cards yesterday. he bought some more trading cards today. now he has 12 trading cards. if n represents the number of trading cards Edmundo bought today, which equation is correct?
Answer:
4 + n = 12
Step-by-step explanation:
Given
Edmundo had 4 cards yesterdayHe has 12 cards todayn is the number of cards he boughtSolving
Cards (yesterday) + n = Cards (today)4 + n = 12Lilly is placing an order for r bags of rice for her sushi restaurant. The market charges $15.70 per bag of rice. Which equation represents the total cost, t , of Lilly's order?
please help me thanks so much
Answer:
Vertically opposite angles
Answer:
B) Vertical angles (congruent)
Step-by-step explanation:
Hope this helps!
What is the volume of a right cylinder with a radius of 4m and a height of 4m?
Question 8 options:
256π m3
8π m3
16π m3
64π m3
volume of cylinder: π * radius² * height
=============
⇒ π * 4² * 4
⇒ π * 16 * 4
⇒ 64π
Thus the volume of cylinder is 64π cm³
Question :-
What is the volume of a right cylinder with a radius of 4 m and a height of 4 m?Answer :-
The volume of a right cylinder is 64π m³.[tex] \rule{180pt}{4pt}[/tex]
Diagram :-
[tex]\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{4 \: m}}\put(9,17.5){\sf{4 \: m}}\end{picture}[/tex]
Solution :-
As per provided information in the given question, we have been given that the Radius of a cylinder is 4 m. The height of a cylinder is 4 m. We have been asked to find the volume of a right cylinder.
To calculate the volume of a right cylinder, we will apply the formula below :-
[tex] \bigstar \: \: \: \boxed{ \sf{ \: \: Volume_{(Cylinder)} = \pi r^2 h \: \: }}[/tex]
Substitute the given values into the above formula and solve for Volume :-
[tex]\sf:\implies Volume_{(Cylinder)} = \pi r^2 h[/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = \pi \times (4 \: m)^2 \times 4 \: m [/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = \pi \times 16 \:m^2 \times 4 \: m [/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = \pi 64 \: m^3[/tex]
[tex]\sf:\implies\bold{Volume_{(Cylinder)} = 64\pi \: m^3}[/tex]
Therefore :-
The volume of a right cylinder is 64π m³.[tex]\\[/tex]
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Have a great day! <33
Sam was voted secretary of the Village Creek Student Council. One of his responsibilities is to track how many students attend each meeting.
Answer:
all are correct of not then the first two are the answers
guys can anyone please help me on this , i don’t understand!!
Answer:
The correct answer would be Option A; all real numbers
Hope this helps!
If there are 20 lollipops and 40 candy bars for a gift bag, fill out all of the possible ratios of lollipops to candy bars that could be made
Answer:
20:40
Step-by-step explanation:
The required ratio of lollipops to candy bars is 1:2.
Given that,
There are 20 lollipops and 40 candy bars for a gift bag, fill out all of the possible ratios of lollipops to candy bars that could be made is to be determined.
The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
Here,
Total number of lollipops = 20, in a bag
Total number of candy bars = 40, in a bag
The ratio of lollipops to a candy bar in a bag,
Ratio = number of lollipops/number of candy bars
Ratio = 20 / 40
Ratio = 1 / 2
Ratio = 1:2
Thus, the required ratio of lollipops to candy bars is 1:2.
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Please draw it on a piece of paper
Step-by-step explanation:
Here is the example you can take idea from it.
35%of?=242
options are:
a)729
b) 652
c) 693
d) 759
e) none of these
with explaination
Answer:
e) none of these
Step-by-step explanation:
35% of 242 would be 84.7%
We know this because we simply have to solve it!
We solve it by doing:
(35/100)*242
(35*242)/100
= 8470/100 = 84.7
We need to determine 35% of 242 now and the procedure explaining it as such
Step 1: In the given case Output Value is 242.
Step 2: Let us consider the unknown value as x.
Step 3: Consider the output value of 242 = 100%.
Step 4: In the Same way, x = 35%.
Step 5: On dividing the pair of simple equations we got the equation as under
242 = 100% (1).
x = 35% (2).
(242%)/(x%) = 100/35
Step 6: Reciprocal of both the sides results in the following equation
x%/242% = 35/100
Step 7: Simplifying the above obtained equation further will tell what is 35% of 242
x = 84.7%
Therefore, 35% of 242 is 84.77