Answer:
See below:
Step-by-step explanation:
Hello! My name is Galaxy and I will be helping you today, I hope you are having a nice day!
We can solve this in two steps, Comprehension and Solving. I'll go ahead and start with Comprehension.
If you have any questions feel free to ask away!!
Comprehension
We know according to the laws of geometry that all angles in a triangle add up to 180 degrees.
We also know that in an isosceles angle, the base angles are equation to each other.
Now that we know what we need to know, we can setup an equation.
[tex]2x-6+(2x)=180[/tex]
We can do this because first of all, we know that 2x-6 is one of the angles and as per the base angles of an isosceles triangle we know that both base angles are x, therefore we can add 2x to get 180 degrees.
I'll start solving now.
Solving
We can solve this by using the equation we made above and solving it with algebra.
[tex]2x-6+2x=180\\4x-6=180\\4x=186\\x=46.5[/tex]
We know that x is equal to 46.5 degrees. We can check that by inputting it into the equation.
[tex]2(46.5)-6+2(46.5)=180?\\4(46.5)=186?\\46.5=46.5[/tex]
We've proven that our answer is correct by double checking,
Therefore the answer is 46.5!
Cheers!
Katie invested a total of $6000 part at 3% simple interest and part at 4% simple interest at the end of one year the investment had earned $216 interest how much was invested at each rate?
Answer:
$3600 at 4%$2400 at 3%Step-by-step explanation:
Let x represent the amount invested at 4% (the higher rate). Then the amount invested at 3% is (6000-x), and the total interest earned is ...
0.04x + 0.03(6000 -x) = 216
0.01x +180 = 216 . . . . simpilfy
0.01x = 36 . . . . . . . . subtract 180
x = 3600 . . . . . . . . multiply by 100
6000-x = 2400
Katie invested $3600 at 4% and $2400 at 3%.
Drag the tiles to the correct boxes. Not all tiles will be used. What are the domain and the range of function f? range arrowRight domain arrowRight
here are the correct answers :)
Which equation would you use to solve the following situation?
There are 6 cookies in the cookie jar. Sean bakes some more and now there are 15 cookies in the jar. How many cookies did Sean bake?
6 + x = 15.
x - 6 = 15.
15 + 6 = x.
6 - x = 15.
Answer:
6+x=15 (x=9)
Step-by-step explanation:
6 cookies + the newly baked ones = 15 cookies
we know there was 6 cookies and we knew that the result is 15, which means that we "don't know" how many cookies are baked. So the answer is 6+x=15
The brand manager for a brand of toothpaste must plan a campaign designed to increase brand recognition. He wants to first determine the percentage of adults who have heard of the brand. How many adults must he survey in order to be % confident that his estimate is within percentage points of the true population percentage
Using the margin of error, it is found that he must survey 601 adults in order to be 95% confidence that his estimate is within 4 percentage points of the true population percentage.
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
95% confident, hence:
[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].
We have no estimate, hence, [tex]\pi = 0.5[/tex] is used.
Within 4%, hence, it is needed to find n for which M = 0.04.
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.04 = 1.96\sqrt{\frac{0.5(0.5)}{n}}[/tex]
[tex]0.04\sqrt{n} = 1.96(0.5)[/tex]
[tex]\sqrt{n} = \frac{1.96(0.5)}{0.04}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{1.96(0.5)}{0.04}\right)^2[/tex]
[tex]n = 600.25[/tex]
Rounding up, 601 adults must be sampled.
A similar problem is given at https://brainly.com/question/15133177
indicate which property is illustrated below. 10 x + 11 x=(-10 + 11) x
Answer:
distributive property
Step-by-step explanation:
I ASSUME that you meant to lead the equation with a negative sign.
- 10x + 11x = (-10 + 11)x
Alexander is a car salesman. He earns 7% in commission each week. Last week, he sold $164,000 worth of cars. How much did he make last week in commission?
Answer:
$11,480
Step-by-step explanation:
Se mezcla café del tipo A de 6 €/kg con café del tipo B de 4,5 €/kg para obtener una mezcla de 60 kg a 5 €/kg. ¿Cuántos kilogramos de café debemos tomar de cada tipo?
For any right triangle, the sum of the sqaures of the legs is equal to the square of the hypotenuse
Answer:
Pythagorean Theorem. The Pythagorean theorem states that in any right triangle, the square of the length of the hypotenuse equals the sum of the squares of the lengths of the legs of the right triangle. This same relationship is often used in the construction industry and is referred to as the 3-4-5 Rule.
Pls he’ll I’ll brainlest and add extra points
4
the other really do not make sense
Answer:
2
Step-by-step explanation:
Can someone please help me
Step-by-step explanation:
it will be around $90.86
Answer:
No. of adults who answered 'yes'
= 20% × 1073
= 214.6
Total amount of money paid
= (18%×$77)+$77
= $13.86+$77
= $90.86
The function f(x) = In(x) has a domain of all real numbers greater than zero and a range of all real numbers. The
inverse of this function is f^-1(x) = e^x
Which conclusion can be drawn by comparing the two functions?
The domain of f^-1(x) is all real numbers and the range is all real numbers.
The domain of f^-1(x) is all real numbers greater than 0 and the range is all real numbers.
The domain of f^-1(x) is all real numbers and the range is all real numbers greater than 0.
The domain of f^-1(x) is all real numbers greater than 0 and the range is all real numbers greater than 0.
Answer:
The domain of f–1(x) is all real numbers and the range is all real numbers greater than 0.
Step-by-step explanation:
In order to join the next yoga class at the YMCA, you must pay a $50 annual fee, then $4 for each class you attend. How many classes can you attend if you budget to spend $98.00 that year on Yoga?
Answer:
12 Yoga classes
Step-by-step explanation:
50 + 4x = 98
Subtract 50 on each side
4x = 48
Divide by 4 on each side
x= 12
You can attend 12 yoga classes in a year with a $98 budget.
What is the leading coefficient of the polynomial f (x) defined below? f (x) = 9x^3 - 7x
well, first off let's check which term has the highest degree, hmmm in this case it has to be the x³, so that's the leading term and its coefficient is 9.
This class is algebra
Answer:
y = -1/2
Step-by-step explanation:
(3x + 4y = 4)
+
(2x - 4y = 6)
______________
5x = 10
x = 2
plug in x for any of the two equations ....
2(2) - 4y = 6
4 - 4y = 6
-4y = 2
y = -1/2
x/-5+6 is greater than or equal to 2
Answer:
[tex]x\geq 2[/tex]
Step-by-step explanation:
Write out the problem
[tex]\frac{x}{-5+6} \geq 2[/tex]
Simplifiy -5 + 6 = 1
[tex]\frac{x}{1} \geq 2[/tex]
Remember that any fraction with a denominator of 1 is equilvalent to the numerator, so
[tex]\frac{x}{1} =x[/tex]
[tex]x\geq 2[/tex]
Helppppppppppppp plz
Answer:
3/1
Step-by-step explanation:
rise/run
9514 1404 393
Answer:
3
Step-by-step explanation:
The line goes through the origin (0, 0) and point (1, 3), which is 3 units up and 1 to the right of the origin.
slope = rise/run = 3/1 = 3
The slope of the line is 3.
In a class of 33 pupils, there were 3 girls who were in the school quiz team and 14 boys who were not in the school quiz team. (a) How many boys were there in the school quiz team if there were 17 girls in the class?
33 pupils - 17 girls = 16 total boys in the class
16 boys - 14 boys not on the team = 2 boys on the team.
Answer: 2
2/3 cup of juice for every 1/3 cup of oj. How many cups of juice is used for 1 cup of OJ
[tex]\begin{array}{ccll} Juice&OJ\\ \cline{1-2} \frac{2}{3}&\frac{1}{3}\\[1em] x&1 \end{array}\implies \cfrac{~~ \frac{2}{3}~~}{x}=\cfrac{~~\frac{1}{3} ~~}{1}\implies \cfrac{~~ \frac{2}{3}~~}{x}=\cfrac{1}{3}\implies \cfrac{~~ \frac{2}{3}~~}{\frac{x}{1}}=\cfrac{1}{3} \\\\\\ \cfrac{2}{3x}=\cfrac{1}{3}\implies 6=3x\implies \cfrac{6}{3}=x\implies 2=x[/tex]
There is a 0.9968 probability that a randomly selected 50 year old female lives through the year (based on data from the US department of Health and Human Services). A Fidelity life insurance company charges $226 for insuring that the female will live through the year. If she does not survive the year, the policy pays out $50,000 as a death benefit.
There is a 0.9968 probability that a randomly selected 50-year-old female lives through the year (based on data from the U.S. Department of Health and Human Services).
-------------------
A Fidelity life insurance company charges $226 for insuring that the female will live through the year. If she does not survive the year, the policy pays out $50,000 as a death benefit.
From the perspective of the 50-year-old female, what are the values corresponding to the two events of surviving the year and not surviving?
----
Ans: -226 ; 50,000-226 = 49774
-------------------------
If a 50-year-old female purchases the policy, what is her expected value?
WORK TRIED:
In the event she lives, the value is -$226. In the event she dies, the value is $49,774.
----
E(x) = 0.9968*(-226) + 0.0032(49774) = -$66
==================================================
Cheers,
ROR
Please hurry I have to do it in 2 minutes
Answer:
[tex]w-0.15 = 0.25[/tex]
Step-by-step explanation:
b) Are there any overall patterns in the data set? Striking deviations? Use
mathematical reasoning to justify your answer. (2 points)
Answer:
There is an outlier at 0, and a gap at 1,2, and 3. The peak is at 5, and the plot is more or less skewed left.
Step-by-step explanation:
A box of donuts containing 6 maple bars, 3 chocolate donuts, and 3 custard filled donuts is sitting on a counter in a work office. Warren comes along and decides to eat two in a row. What is the probability that Warren will eat a chocolate donut and then a custard filled donut
Probabilities are used to determine the chances of selecting a kind of donut from the box.
The probability that Warren eats a chocolate donut, and then a custard filled donut is 0.068
The given parameters are:
[tex]\mathbf{Bars = 6}[/tex]
[tex]\mathbf{Chocolate = 3}[/tex]
[tex]\mathbf{Custard= 3}[/tex]
The total number of donuts in the box is:
[tex]\mathbf{Total= 6 + 3 + 3}[/tex]
[tex]\mathbf{Total= 12}[/tex]
The probability of eating a chocolate donut, and then a custard filled donut is calculated using:
[tex]\mathbf{Pr = \frac{Chocolate}{Total}\times \frac{Custard}{Total-1}}[/tex]
So, we have:
[tex]\mathbf{Pr = \frac{3}{12}\times \frac{3}{12-1}}[/tex]
Simplify
[tex]\mathbf{Pr = \frac{3}{12}\times \frac{3}{11}}[/tex]
Multiply
[tex]\mathbf{Pr = \frac{9}{132}}[/tex]
Divide
[tex]\mathbf{Pr = 0.068}[/tex]
Hence, the probability that Warren eats a chocolate donut, and then a custard filled donut is approximately 0.068
Read more about probabilities at:
https://brainly.com/question/9000575
What is 15 with exponent 1/3 in radical form?
Answer:
[tex]\sqrt[3]{15}[/tex]
Step-by-step explanation:
15^(1/3) in radical form is [tex]\sqrt[3]{15}[/tex]
To express 15^(1/3) in radical form, we have to first understand what radical form is. It is the expression in a form whereby there exists no fraction and or square roots again. And thus, we have to eliminate the power in this question.
15^(1/3) = 15 which when simplified further, we get [tex]\sqrt[3]{15}[/tex]
Have the best day ever! :D
Question
Find the area of the parallelogram.
Area =
units²
Answer:
9 units²
Step-by-step explanation:
Parallelogram area = base × height
Base = 3 units
Height = 3 units
Area = 3 × 3
Area = 9
The area of the parallelogram is 9 units².
Here, we have,
We know that,
Parallelogram area = base × height
here, from the given figure we get,
Base = 3 units
Height = 3 units
so, we get,
Parallelogram area = base × height
Area = 3 × 3
Area = 9
Hence, The area of the parallelogram is 9 units².
To learn more on area of parallelogram click:
brainly.com/question/19187448
#SPJ6
simplify 1/3 : 2.5 : 3 3/4
Answer:
i dont know
Step-by-step explanation:
Answer:
4 : 30 : 45
Step-by-step explanation:
The least common denominator of the fractions 1/3, 1/2, and 1/4 is 12. Multiplying the ratio by 12 gives ...
(1/3) : (2.5) : (3 3/4) = (12)(1/3) : (12)(2.5) : (12)(3 3/4)
= 4 : 30 : 45
geomtry plz help 15 points
Answer:
m∠O = 41°
Step-by-step explanation:
∠NOM=∠NMO=(4y-15)° (base angles of isos triangle)
7y+2(4y-15)=180 (angle sum of triangle)
7y+8y-30=180
15y-30=180
15y=180+30
=210
y=210÷15
=14
Hence, m∠O = (4y-15)°
= [4(14)-15]°
= (56-15)°
= 41°
(3.71 + (-5.25))(4+(-9)
Answer:
You need a calculator to solve, but here: 7.7
Step-by-step explanation:
u missed a few paranthesis. I solved this instead: (3.71 + (-5.25))(4+(-9))
first subtract 3.71 by 5.25 to get -1.54 then subtract 4 by 9 to get -5. Then you multiply them to get 7.7.
1 1/16 divided by 1/1/16
Answer:
i dont know
Step-by-step explanation:
i really dont know
SectionA
find A and B?
B=
6 9-5
A:
- 10 -4 -8
4 16 6
7
8 4
1 2 -9
19 5 6
9 6
Answer:
B=24
A= I don't know what that means
Step-by-step explanation:
At the movies, tickets cost $16.50 for adults and $5.50 for kids under 12. How many total tickets would someone get if they purchased 11 adult tickets and 16 kids tickets? How many total tickets would someone get if they purchased aa adult tickets and kk kids tickets?
Answer: 27 tickets a+k
Step-by-step explanation:
11+16