Please answer & explain how the answer was found
Answer: GEF = 30 DEF = 40
Step-by-step explanation: By angle summation we know the entire angle
GED = 70, so the smaller angles that make up GED (GEF and DEF) will have to sum up to equal GED. Using this we get:
2x + 10 + 5x - 10 = 70
From here we can combine like terms:
7x = 70
and solve for x
x = 10
Then we can plug the value of x back into the equations given to solve for GEF and DEF
GEF:
2x+10 == 2(10)+10 = 30
DEF:
5x-10 == 5(10)-10 = 40
A direct, consistent relationship between the independent variable and the dependent variable?
A direct, consistent relationship between the independent variable and the dependent variable is called "dose-response relationship."
What is a dose-response relationship?The effect on an organism and, more specifically, the risk of a defined outcome caused by a set quantity of an agent or level of exposure.
Some key features regarding the dose-response relationship are-
A dose-response relationship is considered the strongest proof for a causal relationship between exposure and outcome. Even in the absence of a dose-response relationship, the possibility of a causal relationship can not be discounted. Time can have a significant impact on dose-response relationships. For example, when examining the relationship between exposure and outcome, the time to response can be impacted by a latent period between outcome and exposure. If the effects have been measured too shortly after the exposed, no effect is seen, even if the exposure is the cause of the outcome.To know more about dose-response relationship, here
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need help pls it's due
Answer:
4. $216 gain
5. 30g
I hope this helps
1- When 5 times the number x is added to 10, the result is 35. What is the result when 3 times x is added to
6?
A. 10
B. 15
C. 21
D. 25
Answer:
C. 21
Step-by-step explanation:
5 times of x is 5x.
5x + 10 = 35
Remove 10 from both sides to get one side x, and the other side a number.
5x + 10 - 10 = 35 - 10
5x = 25
Both sides of the equation can be divided by 5.
x = 5
3 times of x is 3x.
3x + 6
Substitute in x = 5 from the earlier working.
3(5) + 6
= 15 + 6
= 21
Therefore, the result of 3 times x added to 6 is 21.
Hope this helped! ^^
Which statements are true? Select the five correct answers.
Answer: I guess?
Step-by-step explanation:
Solve for x. (2x+3) (x-6)
Answer: 2x^2 − 9x − 18
Step-by-step explanation:
(2x + 3)(x − 6)
= (2x + 3)(x + −6)
= (2x)(x) + (2x)(−6) + (3)(x) + (3)(−6)
= 2x^2 −12x + 3x − 18
= 2x^2 − 9x − 18
I need help fast please and thank you
Answer:
Option a 340 cm²
Area= bxh
20x17=340 cm²
Solve for x when g=x-c/x
Answer:
x= -3/g -1
Step-by-step explanation:
2: Strategically decompose 1.57 to round to the nearest whole and nearest tenth.
4/3h - 7/10 = -1/9h - 5/4 what us the fraction in the simplest form?
Answer:
Step-by-step explanation:
12/9h - 7/10 = =1/9h - 5/4
13/9h - 7/10 = -5/4
13/9h = 14/20 - 25/20
13/9h = -11/20
h= -99/260
An angle is defined as the space between two rays that emanate from a common point. True or false
True, there are some undefined terms like line, point angle, distance between two points .
Which definition of angle is the best?
The figure in which two rays intersect at the vertex, or common point, is referred to as an angle. The symbol "∠" is used to represent the angle.How does Euclid define angle?
A plane angle is the inclination toward one another of two intersecting, non-straight lines in the plane.
True, there are some undefined terms like line, point angle, distance between two points .
we intuitively know about the angle but can not give mathematical definition .
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*PLS HELP*
Drag and drop each verbal phrase next to the algebraic expression that models it.
the base salary of an employee and a 6%
salary increase
x+0.06x=1.06x
x-0.60x=0.40x
x+0.60x= 1.60x
the number of students attending school
last year and a 60% increase from last year
ix-0.06x=0.94x
the cost of groceries and a 6% discount
with coupons
the price of a winter coat and a 60%
discount
Answer:
1st Question: The answer is the bottom left
2nd Question: The answer is the bottom right
3rd Question: The answer is the top left
4th Question: The answer is the top right.
Step-by-step explanation:
can someone answer this please, thank you
Answer:
9x
Step-by-step explanation:
EF = 3x
FG is three times longer ....then FG = three * EF = 3 * 3x = 9x
if LM=MP, then M must be the midpoint of LP.
True or False?
Answer:
True
Step-by-step explanation:
dividing both sides by M you are left with L=P
∠ABC and ∠DEF are complementary. If m∠ABC = (2x+4)∘ and m∠DEF = (3x−5)∘, find the measure of each angle.
m∠ABC =
m∠DEF =
The measure of each angle are m∠ABC = 40.4 and m∠DEF = 49.6
How to determine the measure of each angle?The given parameters are
m∠ABC = (2x+4)∘ and m∠DEF = (3x−5)∘,
Complementary angles add up to 90 degrees
So, we have
2x + 4 + 3x - 5 = 90
Evaluate the like terms
5x = 91
Divide by 5
x = 18.2
Substitute x = 18.2 in m∠ABC = (2x+4)∘ and m∠DEF = (3x−5)∘,
m∠ABC = (2 x 18.2 + 4) = 40.4
m∠DEF = (3 x 18.2 − 5)∘ = 49.6
Hence, the measure of each angle are m∠ABC = 40.4 and m∠DEF = 49.6
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. Which graph has f(x) = 1xI as its parent function?
Answer: Im not sure
Step-by-step explanation:
you didnt list/provide the graphs for me to answer. :I
Jenna works in an ice cream shop. When she starts her shift, the tub of chocolate ice cream is 23 full. When she finishes her shift 612 hours later, there is only 16 of the tub left. What was the average hourly change in tub fullness?
The average hourly change in tub fullness is ₋1/13.
Jenna she starts her shift, the tub of chocolate ice cream is 2/3 full.
After she finishes her shift 6 1/2 hours , there is only 1/6 of tub left.
the average hourly change in tub fullness = ?
subtract the initial quantity from the quantity left after 6 1/2 hours.
⇒ 2/3 ₋ 1/6
= 1/2
Divide the quantity by 6 1/2 hours.
time is represented in improper fraction, convert it into proper fraction.
6 1/2 = 12 ₊ 1/2
= 13/2
⇒ 1/2 ÷ 13/2
= 1/13
the statement says the quantity decreases,
so ₋1/13
therefore the average hourly change in tub fullness is ₋1/13
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Find the area of the region inside the circle r=4cos(theta) and outside the circle r=2.
Area of the region inside the circle r=4cos(theta) and outside the circle r=2 is 4π/3 + 2√3
What is the polar curve?A form created using the polar coordinate system is called a polar curve. Points on polar curves have varying distances from the origin (the pole), depending on the angle taken off the positive x-axis to calculate distance. Both well-known Cartesian shapes like ellipses and some less well-known shapes like cardioids and lemniscates can be described by polar curves.
r = 1 − cosθsin3θ
Polar curves are more useful for describing paths that are an absolute distance from a certain point than Cartesian curves, which are good for describing paths in terms of horizontal and vertical lengths. Polar curves can be used to explain directional microphone pickup patterns, which is a useful application. Depending on where the sound is coming from outside the microphone, a directional microphone will take up sounds with varied tonal characteristics. A cardioid microphone, for instance, has a pickup pattern like a cardioid.
The area between two polar curves can be found by subtracting the area inside the inner curve away from the area inside the outer curve.
The figure attached shows the bounded region of the two graphs. The red curve is r=4cos(θ) and the blue curve is r=2.
The points of intersection of the two curves are
θ = π/3 and 5π/3
The area is calculated as follows:
Since the bounded region is symmetric about the horizontal axis, we will find the area of the top region, and then multiply by 2, so as to get the total area.
A = 2 [tex]\(\int_{0}^{\pi /3}[/tex] ½ (4 cos (θ)² − ½ (2)² dθ
= [tex]\(\int_{0}^{\pi /3}[/tex] 16 cos2 (θ) − 4dθ
= [tex]\(\int_{0}^{\pi /3}[/tex] 8 (1+cos(2θ)) − 4dθ
=[tex]\(\int_{0}^{\pi /3}[/tex] 4 + 8 cos (2θ) dθ
= [4θ + 4sin (2θ)] [tex]\(\int_{0}^{\pi /3}[/tex]
= 4π/3 + 2√3
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matt bought 2 packages of gum for 64 cents each he also bought a candy bar for 76 cents write an expression to show the best estimate for how much money matt spent
The expression to show the best estimate is 64 * 2 +76 * 1
How to write an expression to show the best estimate?The given parameters are:
Gum package = 64 cents eachNumber of gum package = 2Candy bar = 76 cents eachNumber of Candy bar = 1The expression to show the best estimate is
Expression = Gum package * Number of package + Candy bar * Number of bars
So, we have
Expression = 64 * 2 +76 * 1
Hence, the expression to show the best estimate is 64 * 2 +76 * 1
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In 2008, the centers for disease control and prevention reported the average human life span in the united states as 76.8 years for men and 81.6 years for women. calculate how much longer, on average, u.s. women live than men in seconds.
On average, U.S women live more than men in 151,400,000 seconds.
Average:
Average is the ratio of the total value divided by the number of observation used.
Given,
In 2008, the centers for disease control and prevention reported the average human life span in the united states as 76.8 years for men and 81.6 years for women.
Here we need to calculate how much longer, on average, u.s. women live than men in seconds.
Here we know that,
Average life span for men = 76.8 years
Average life span for women = 81.6 years.
So, the women lived
=> 81.6 - 76.8
=> 4.8 years.
So, the average women lived 4.8 years more than the man.
Now we have to convert it into seconds,
We know that,
1 year = 31,536,000 seconds
So,
=> 4.8 x 31,536,000 seconds
=> 151,400,000 seconds.
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One number is six less than a second number. Twice the first is 11 more than 3 times the second. Find the numbers.
The value of the
Answer:
First number is -29.
Second number is -23.
Step-by-step explanation:
Num=second-6
2Num=3second+11
Substitution
2(second-6)=3second+11
2second-12=3second+11
Subtract 2second from 3 second and subtract 11 from -12
-23=second
Num=(-23)-6
Num=-29
I need help with these
Irrational because the number keeps going on forever and it does not repeat a certain pattern like 0.24242424...
The length of a rectangle is 6 more than its width. The perimeter of the rectangle is 60 feet. If w is the width of the rectangle, which expression represents the length? w+5 w-5 5w 1/5w
The length expression is 6 + w
How to determine the length expression?The given parameters are:
Length =6 more than the width
Width = w
Perimeter = 60
Subsitute Width = w in Length =6 more than the width
This gives
Length =6 more than the w
More than mean +
So, we have
Length = 6 + w
Hence, the length expression is 6 + w
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Find the volume of a cube with a side that measures 0.01 cm. (Hint: V = s ³).
Answer: V=[tex]\frac{1}{1000000}[/tex] cm^3
Step-by-step explanation:
V = s³
V = (0.01)³
V=(1/100)³
V=[tex]\frac{1}{1000000}[/tex] cm^3
the volume of cube with a side that measures 0.01 cm is answer v = a3
How would you write .8% as a decimal? Remember DP!
Answer:
0.08
Step-by-step explanation:
0.8% as a decimal is 0.08.
Hope this helps!
Please mark as brainliest if correct!
Answer:
.8% = 0.08
Imagine the hundredths place(2 DP) as the ones place, and the tenths place as the tens place like in 57%, that would be 0.57 because it's double digit.
Hope this helps.
5. Using the data from question 2, you can compute the mean food and lodging
cost of a 10-day vacation by multiplying the per-day mean by 10. The
standard deviation for the 10-day vacation can be found by multiplying by
10 also.
a. What is the mean for food and lodging for a 10-day vacation?
Multiplying the underlying mean of $247 for a single day by 10 to account for the 10 days, the mean for food and lodging for a 10-day vacation is of $2470.
What is the mean per day cost?This problem is incomplete, but researching it on a search engine, it is found that the mean for a single day was of $247.
What is the mean for the entire trip?The entire trip was of 10 days, hence the mean is given as follows, multiplying the mean by the constant:
247 x 10 = $2,470.
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Which value of x makes the equation 3.5(x+20)=6+.75(x+1) true?
Answer:
x = -23
Step-by-step explanation:
3.5(x+20) = 6 + .75(x + 1) Multiply the terms inside the parentheses on the left by 3.5 and the parentheses on the left by .75
(3.5)x +(3.5)(20) = 6 + (.75)x +(.75)(1)
3.5x + 70 = 6 + .75x + .75 Combine the 6 and .75 on the right side
3.5x + 70 = 6.75 + .75x Subtract .75x from both sides of the equation
2.75x + 70 = 6.75 Subtract 70 from both sides of the equation
2.75x = -63.25 Divide both sides by 2.75
x = -23
Check
3.5(-23+20) = 6 + .75(-23 + 1)
3.5(-3) = 6 +.75(-22)
-10.5 = 6 +(-16.5)
-10.5 = -10.5
Answer:
x = -23
Step-by-step explanation:
3.5(x+20)=6+.75(x+1)
3.5x + 70 = 6 + .75x + .75
3.5x+70=.75x+6.75
2.75x+70=6.75
2.75=−63.25
divide^
x = -23
If m<4=119, what is m<10
Answer: So after applying concept of parallelism m<10 = 119
Step-by-step explanation:
As we have given m<119
In terms of parallelism
m< 4 = m<8
and m<8 = m<10
Therefore
m< 10 = m<4 = 119
So after applying concept we get m<10 = 119.
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a sequence of natural numbers is constructed by listing the first 4, then skipping the next 5, skipping 2 listing 6, skipping 3, and, on the nth iteration, listing n 3 and skipping n. the sequence begins 1,2,3,4,6,7,8,9,10,13. what is the 500,00th number in the sequence?
The 500,00th number in the sequence = 98828
What is sequence?A sequence is a numbered collection of objects where repeats are permitted and order is important. It has members, just like a set. The length of something like the sequence is defined as the number of items.
According to the given data:here n^th iteration n+3 element are listed and n element are skipped.
now before nth iteration total skipped natural number : 1+2+3+.........n-1
= n(n-1)/2
now after completion of nth iteration total listed natural number = 4+5+6+.....n+3
= ((n+3)(n+4)/2)-6
to find 50000th number total listed element must be greater than or equal to 50000.
((n+3)(n+4)/2)-6 ≥ 50000
(n+3)(n+4) ≥ 100012
n = 313
total skipped before 313th iteration
=( 313 * 312)/2
= 48828
total listed before 313th is 48828.
listed after 312th iteration
= ((315)(316))/2)-6
= 49764
total number remaining for 50000
= 50000 - 49764
= 236
total number passed.
skipped+ listed
= 48828 + 49764
= 98592
50000th element = 98592 + 236
= 98828
The 500,00th number in the sequence = 98828
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Evaluate the function.
f(x) = -4x² + 7x
Find f(5)
Answer:
-65
Step-by-step explanation:
Given ~
[tex] \tt \: f(x) = - 4 {x}^{2} + 7x[/tex]
[tex] \: [/tex]
put x=5 in given function ~
[tex] \: [/tex]
[tex] \tt \: f(5) = - 4(5) ^{2} + 7(5)[/tex]
[tex] \: [/tex]
[tex] \tt \: f(5) = - 4(25) + 7(5)[/tex]
[tex] \: [/tex]
[tex] \tt \: f(5) = -100 + 35 [/tex]
[tex] \: [/tex]
[tex] \underline{\boxed{\red{ \tt f(5) = - 65}}}{\green✓}[/tex]
[tex] \: [/tex]
hope helps ~