AE || BC
===》 DCB angle = DAE angle
AC /
__________________________________
Thus :
DCB angle = x
And also we know that the submission of interior angles of any triangle must equals to 180 degrees so :
In BCD triangle :
B + C + D = 180
x + x + D = 180
D = 180 - 2x
__________________________________
In the other hand we know that :
BDC angle + BDA angle = 180
because they make a straight line together so ;
180 - 2x + 50 = 180
- 2x = 180 - 230
- 2x = - 50
x = 25
And we're done...
Have a great time ♡
Complete the missing exponent 64=4_
Answer:
64=4^3
Step-by-step explanation:
4x4x4=64. 4x4x4=4^3 as there are three 4s. Hope it helps!
The area labeled B is 9 times the area labeled A. Express b in terms of a.
b=_____?
Hi there!
For the graph on the left, we know that the area A is equal to:
[tex]A = \int\limits^a_0 {e^x} \, dx[/tex]
Area 'B' is 9 times this area, so:
[tex]B = 9 \cdot \int\limits^a_0 {e^x} \, dx[/tex]
We can evaluate the integral:
[tex]B = 9 \cdot \int\limits^a_0 {e^x} \, dx \\\\B = 9 \cdot e^x \left \| a}} \atop {0}} \right. \\\\B = 9 (e^a - 1)[/tex]
We also know that:
[tex]B = \int\limits^b_0 {e^x} \, dx[/tex]
Evaluate:
[tex]B = e^x \left \| b}} \atop {0}} \right. = e^b - 1[/tex]
Set the two equations for 'B' equal:
[tex]e^b - 1 = 9(e^a - 1)\\\\e^b - 1 = 9e^a - 9 \\\\e^b = 9e^a - 8[/tex]
Take the natural log of both sides:
[tex]ln(e^b) = ln(9e^a - 8)\\\\\boxed{b = ln(9e^a - 8)}[/tex]
The family soent 125$ in may for electric bills, in june the bill increased by 12% bc they used the ac more often. Write a equation to calculate their total electricity bill in june. Let y equal the total cost
Answer:
125x 12 and divide the answer
Step-by-step explanation:
Answer:
125x 12 and divide the answer
Step-by-step explanation:
There are several ways to reduce how much does it cost to run an air conditioner. The two main ones are:Buying an air conditioner with a high energy efficiency rating (EER, SEER, CEERratings are valid specifications).Reducing the number of hours per day that you use a given air conditioner.Note: It’s recommended to estimate how much electricity does an air conditioner use before buying a specific unit.On average, running an air conditioner costs between $0.06 and $0.88 per hour. Let’s calculate how much does air conditioning cost per month (running 8h per day):
What is the coefficient of x in 4+[tex]3y^{2}[/tex]+x?
ASAP PLS ANSWER
Hello!
Please remember that
The coefficient is the number before a variable.Example:
4T+5H
In this example, the coefficient of T is 4, and the coefficient of H is 5.
So let's identify the coefficient of x.
It seems like x doesn't have a coefficient, but it does.
It's equal to 1.
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
:-)
The mean on a statewide biology test was 76 with a standard deviation of 11. Harris county sampled the scores of some of its students and reported a mean of 80 with a margin of error of ± 2.3.
What is the range of reasonable means for Harris County's sample?
Range: ____ to ____
The margin of error would tell how many percentage differs from Harris County's sample
The range of reasonable means for Harris County's sample is 77.7 to 82.3
How to determine the range?The given parameters are:
Population mean, [tex]\mu = 76[/tex]Population standard deviation, [tex]\sigma = 11[/tex]Sample mean, [tex]\bar x = 80[/tex]Margin of error , [tex]E = 2.3[/tex]The range (R) is calculated as:
[tex]R = \bar x \pm E[/tex]
Substitute known values
[tex]R = 80 \pm 2.3[/tex]
Expand
[tex]R = (80 - 2.3,80 + 2.3)[/tex]
Evaluate the difference and sum
[tex]R = (77.7,82.3)[/tex]
Hence, the range of reasonable means for Harris County's sample is 77.7 to 82.3
Read more about margin of error at:
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Trey will attend a -year college, and he is planning his budget.
Answer the following.
(a) Below is an estimate of all his expenses and sources of funding for his -year college education.
For each, select whether it is an expense or a source of funding.
Expense Funding
Scholarships:
Grants:
Housing and food:
Work-study (part-time job):
Personal expenses:
Transportation:
Tuition and fees:
Books and supplies:
(b) What is the total of his estimated expenses?
(c) What is the total of his estimated funding?
(d) Can Trey expect to have enough money for his education? How much is the difference?
The examples of funding include scholarship, grants, part time job, etc.
What is funding?Your information is incomplete as the values aren't given. Therefore, an overview will be given.
The funding are needed to cater for school fees and other necessary fees. They include scholarship, grants, and part time job.
The expenses are books, transportation, housing, books, and food.
Learn more about funding on:
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A cell phone measures 10 cm long, 6 cm long, and 2 cm high. What is the volume of the cell phone?
Answer: 120cm
Step-by-step explanation:
Multiply length x width x height
10 x 6 x 2 is equal to 120, so the volume is 120cm or centimetres.
Answer:
10cmx6cmx2cm
6x2=12
12×10=120cm
The following list gives the number of pets for each of 14 students.
2
,
0
,
2
,
4
,
4
,
4
,
3
,
2
,
3
,
4
,
1
,
3
,
3
,
2
Find the modes of this data set.
If there is more than one mode, write them separated by commas.
If there is no mode, click on "No mode."
Answer:
2,3,4
Step-by-step explanation:
Given data:
2,0,2,4,4,4,3,2,3,4,1,3,3,2
Solution:
Mode = Most often number
There are
4 = two's
1 = zero's
4 = four's
4 = Three's
1 = ones's
Hence the mode is:
2,3,4
~lenvy~
A trapezoid has sides of length 16.7 centimeters, 12.9 centimeters, 16.7 centimeters, and 18.9 centimeters. What is the perimeter? centimeters
Answer:
65.2 cm
Step-by-step explanation:
P = a + b + c + d
P = 16.7 cm + 12.9 cm + 16.7 cm + 18.9 cm
P = 65.2 cm
The perimeter of the trapezoid is 65.2 cm.
Answer:
To find the perimeter of this trapezoid, simply add all four sides (since there are only four sides to a trapezoid):-
16.7 + 12.9 + 16.7 + 18.9
= 65.2 centimetres is the perimeter.
You can picture it like this;
14. You deposit $500 in a savings account that
carns 7% interest compouncted anually.
A.) write a function that represents the balance
after t years
B.) What is the balance after 2 years?
Answer:
A) A(t) = 500e^(0.07)(t)
B) 575.137
Step-by-step explanation:
Ben is going on a 380-mile trip. If he drives for 2 hours at an average speed of 50 miles per hour, how many miles will he still have left to go on on his trip?
Answer:
19000
Step-by-step explanation:
1 hour = 50 miles
2 hour = 100 miles
50×380 = 19000
What is the characteristics of a scatterplot
Answer:
Graphs pairs of numerical data, with one variable on each axis, to look for a relationship between them
Step-by-step explanation:
The scatter diagram graphs pairs of numerical data, with one variable on each axis, to look for a relationship between them. If the variables are correlated, the points will fall along a line or curve. The better the correlation, the tighter the points will hug the line.
The graph shows the amount of caffeine left in the body after drinking a 20-ounce soft drink with 90 milligrams of caffeine. Which of the following exponential equations best fits the data?
y=90(2)^
y=2(90)^x
y=0.5(90)^x
y=90(0.5)^x
Answer:
y=90(0.5)^x
The y-intercept is (0,90), so when x=0, y should be 90.
By replacing x=0 in all equations you get;
1)
y=90(2)^0 =90 accepted
2)
y=2(90)^0 =2 rejected
3)
y=0.5(90)^0 =0.5 rejected
4)
y=90(0.5)^0 =90 accepted
Since this is an exponential decrease,
y=90(2)^x is rejected.
Solve For X.
6x + 9 - 4x = -3
Answer:
x = -6
Step-by-step explanation:
6x + 9 - 4x = -3
2x +9 = -3
2x = -12
x = -6
A prize is divided in the ratio 5:1 if the larger share is £65 what is the total prize?
Answer:
£78
Step-by-step explanation:
65 divided by 5= £13
13+65=£78
Answer:
£78
Step-by-step explanation:
Let the total value be T.
£65/T = 5/(5 + 1)£65/T = 5/6T = 65 x 6 / 5T = 13 x 6T = £78Stephanie has brought 12 bottles of juice to a party but there are more than 12 children. If she gives each child
3/4 of a bottle, how many children will she be able to serve?
Answer:
16 children
Step-by-step explanation:
divide 12 by .75 you get 16
hope that helps
write a function that transforms f(x)=2^3+4 in the following way: stretch vertically by a factor of 6 and shift 5 units left.
Answer:
f(x) = 2x3 + 4
Stretch vertically be a factor of 2:
f(x) = 2*2x3 + 4 = 4x3 + 4
Shift 5 units to the left:
f(x) = 4(x+5)3 + 4
Can you please help
Answer:
used formula to find Area of parallelogram
area of parallelogram =b× h
Step-by-step explanation:
solution :
given ,
h = 7cm
b = 9 cm
we know ,
Area of parallelogram = b× h
=63cm²
Nine times the sum of a number and 2 is equal to 4.
Answer:
9(n+2) = 4
Step-by-step explanation:
9(n+2) = 4
to solve for 'n' first distribute the 9 to get:
9n + 18 = 4
subtract 18 from each side to get:
9n = -14
n = -14/9
How much of a radioactive kind of promethium will be left after 20 days if you start with
9,056 grams and the half-life is 5 days?
in 20 days 4 half life will be completed
so n = 4
formula :-
[tex] \frac{ A\degree}{ {2}^{n} } = \frac{9056}{ {2}^{4} } = \frac{9056}{16} = 566grams[/tex]
The radioactive kind of promethium will have 566 grams left after 20 days.
What is half-life?Half-life is the time required for a quantity to reduce to half of its initial value.
Given, A radioactive kind of promethium with 9,056 grams and a half-life is 5 days.
∴ In the next 5 days, it'll have (9056/2) = 4528 grams.
Next 5 days it'll have (4528/2) = 2269 grams.
As it has a half-life in 5 days and 20 is multiple (4×5).
After 20 days the radioactive material will have (9056/2⁴) grams.
= 566 grams left.
learn more about half-life here :
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#SPJ2
find measure of the missing angles and justify your answer with postulates and theorems.
Answer:
Step-by-step explanation:
candy that costs 31 cents per pound is mixed with candy that costs 46 cents per pound to obtain 50 pounds of candy that costs 40 cents per pound. How many pounds of each of the two types of candy are in the mix?
Answer:
20 lb of 31 cent candy, 30 lb of 46 cent candy
Step-by-step explanation:
sorry don't have one
here is a smiley face for you
:D
The amount of each type of candy (in pounds) that are mixed for the considered condition is: 20 pounds of first type of candy and 30 pounds of second type of candy.
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
For this case, we can assume the separate weights of each type of candies to be represented by variables.
Let we have:
x = weight (in pounds) of first type of candy whose cost is 31 cents per pound.y = weight (in pounds) of second type of candy whose cost is 46 cents per pound.x pounds of first type of candy is mixed with y pounds of second candy.
The weight of the mixture = x + y = 50 pounds
The cost of the mixture = 40 cents per pound = [tex]40 \times 50 = 2000[/tex] cents
Cost of the mixture = cost of x pounds of first candy+ cost of y pounds of second candy = [tex]31x + 46y[/tex]
Thus, we get [tex]31x + 46y =2000[/tex]
Therefore, we got a system of two linear equations as:
[tex]x +y = 50\\31x + 46y =2000[/tex]
From first equation, we get:
[tex]x = 50 -y[/tex]
Substituting this value in second equation, we get:
[tex]31(50-y) + 46y =2000\\1550 + 15y = 2000\\15y = 450\\\\y = 450/15 = 30[/tex]
Putting this value of y in equation for x, we get:
[tex]x = 50-y = 50-30 = 20[/tex]
Thus, the amount of each type of candy (in pounds) that are mixed for the considered condition is: 20 pounds of first type of candy and 30 pounds of second type of candy.
Learn more about solving system of linear equations here:
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what is the area of the regular hexagon
Answer:
720
Step-by-step explanation:
n*180
n
the answer is 720
A string of decorative lights has 32 bulbs for every 2 feet of wire.
What is the unit rate of bulbs per yard?
HELP !!!!!
Answer:
First convert two feet into yards, knowing that:
1 foot = 0.333... yards
So,
2 feet in yards would mean double of 0.333... because one single foot is 0.333... yards.
2(0.333...)
= 0.666..., which we can round to 0.67.
So our new ratio will be 32 bulbs per 0.67 yards.
Now we convert this ratio into a unit rate,
Order your units;
Bulbs 32 47.76
______ ______ = ______, which rounds to about 48.
Yards 0.67 1
So the unit rate is 48 bulbs per yard.
lesson 8 practice probelms position,speed, and directions
In a certain triangle, two of the sides have measures of 13 and 16. If the triangle is isosceles, then which of the following could be the measure of the third side?
A. 3
B. 29
C. 13
D. 32
PLEASEEE help! I think it's A or B
Answer:
Choice C.
An isosceles triangle always has two sides of the same length.
the formula P=F/A,where P=pressure,F=force,andA=area,is used to caculate pressure.solve this formula for F
[tex]P= \dfrac FA \implies F = PA[/tex]
Given that V=1,3,4,2 and W= 6,4,7,2 then VW is
Select one:
of
O 4
0 1,3,6,7
O 2
0 2,4
Answer:
2,4 possibly
Step-by-step explanation:
if its V (intersection) W
then its 2,4
if it has something to do with patterns then i dont know
Find f(x+2) if f(x)=(5x^2)-2x+3
Answer:
Use the given functions to set up and simplify f(x+2).
5x2+18x+19 This is the Answer if using The Function Operation.
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10x−2 This is the Answer if you want to find the Derivative
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I don't know if my answer is right if it's wrong I am sorry.
Anyways have an amazing day!
A=
B=
C=
? ? ? ? ? ? ? ? ? ? ? ? ? ?
Answer:
a=5 b=7 c=9
hope I helped :)