Answer:
his age would be 72.
300-84=216
216÷3 is 72
Determine the last possible degree of the polynomial function shown
We are asked to determine the degree of the polynomial given its graph. To do that we can count the number of bumps in the graph. We notice that it has 4 bumps:
This type of behavior is usual of polynomials of degree 5.
Find the direction angle of the vector u=-8i+5j. That is, find the angle between 0 degrees and 360 degrees that u makes with the positive x-axis
we have the vector
u=-8i+5j
see the attached figure to better understand the problem
tan(x)=5/8
x=tan^-1(5/8)
x=32 degrees
Find out the angle theta
148 degrees
the answer is 148 degrees
when jerry burger replicated milgram's experiment in 2009, he found that 70% of participants were still obeying, a from milgram's result. multiple choice question. large increase large reduction slight increase slight reduction
Jerry burger replicated milgram's experiment in 2009, he found that 70% of participants were still obeying, a from milgram's result is slight reduction .slight reduction means small in quantity or extent. 2 of small importance; trifling. slim and delicate. lacking in strength or substance.
How many participants in Milgram's study obeyed all the way to the end?In his book Understanding Milgram's Work Today, Robert Burger pointed out that in the original experiment, 79 percent of subjects who persisted after the learner's initial screams at 150 volts persisted all the way to the end of the scale, at 450 volts.The experiment had only one variation in which 26 out of 40 subjects obeyed, and this variation is where the figure of 65% of people following orders applied. In certain iterations of the study, not a single participant heeded the experimenters' commands, while in other modifications, many fewer participants were willing to do so.To learn more about Milgram's study refer to:
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Thelma is a real estate agent negotiating the sale of a property with a listed price of $180,000. The buyer and seller of the property have agreed to a sale price that is 15% lower than the listed price.
If Thelma earns a 6% commission based on the negotiated sale price, how much will she earn for this sale?
When Thelma earns a 6% commission based on the negotiated sale price, the amount earned is $9180.
How to calculate the value?From the information, Thelma is a real estate agent negotiating the sale of a property with a listed price of $180,000. The buyer and seller of the property have agreed to a sale price that is 15% lower than the listed price.
The sales price will be:
= $180000 - (15% × $180000)
= $180000 - $27000
= $153000
Sine she earns 6% commission, this will be:
= Percentage × Sale price
= 6% × $153000
= 0.06 × $153000
= $9180
The commission is $9180.
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Fill in the missing. How many solutions does the equation have? what does the simplified equation mean?
5.5x - 2.1 = 3 + 5.5x
5.5x - 2.1 - _____ x = 3 + 5.5x - _____ x
_____ = _____
The equation 5.5x - 2.1 = 3 + 5.5x has no solution. Then the number of the solution is zero.
What is the solution to the equation?The allocation of weights to the relevant variables that produce the calculation's equilibrium is referred to as a direct consequence.
Simplicity is the quality of making anything less complicated and more manageable in terms of both execution and comprehension.
The equation is given below.
5.5x - 2.1 = 3 + 5.5x
Subtract 5.5x on both sides, then simplify the equation.
5.5x - 5.5x - 2.1 = 3 + 5.5x - 5.5x
0x - 2.1 = 3
The equation 5.5x - 2.1 = 3 + 5.5x has no solution. Then the number of the solution is zero.
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Caleb predicted that his favorite player would score 27 points in the firrst round of the NCAA tournament game. The player actually scored 23 points. What is the percent ERROR of Caleb's prediction? Round your answer to the nearest tenth of a percent.
Given that
Caleb predicted player would score 27 points.
But he scored 23 points.
so percentage error,
[tex]\begin{gathered} \text{percetage error=}\frac{27-23}{27}\times100 \\ =\frac{4}{27}\times100 \\ =14.81\text{ \%} \end{gathered}[/tex]The Pythagorean Theorem
What is the distance between the points (1.7,-1) and (3.2,-1.8)?
Answer:
i hope it was good for you
Part A: Given the function g(x) = |x + 3|, describe the graph of the function, including the vertex, domain, and range.
explanation is ideal but not essential :)
Considering the absolute value function, it is found that:
The vertex is at (-3,0).The domain is all real values.The range is [0, ∞).Absolute value functionThe absolute value function of vertex at point (h,k) is defined according to the following rule:
f(x) = |x - h| + k.
In the context of this problem, the function is given as follows:
g(x) = |x + 3|.
Hence the coefficients are:
h = -3, k = 0.
Meaning that the coordinates of the vertex are given by:
(-3,0).
The domain is the input values of the function, and since the absolute value function has no restriction, it is composed by all real values.
The range of the function is the set containing the output values of the function, and since the function has no vertical shift, it is the non-negative numbers.
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Charlie graphs the equation y = -1/2x + 2.
Select all statements about Charlie's graph that are true.
-The line does not pass through the origin.
-The graph is a straight line.
-The slope of the line is 1/2
-The line passes through the point (0, -2).
-The y-intercept of the line is 2.
The True statements are: the graph is a straight line and the line does not pass through the origin. The y-intercept of the line is 2.
What is a linear equation?A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.
The equation is given as y = -1/2 x + 2
Then Formula of the linear equation ( in slope-intercept form ):
y = m x + b
m = -1/2, b = 2
0 = - 1/2 ( 0 )+ 2
0 ≠ 2 ( it does not pass through the origin )
- 2 ≠ 2
Therefore, the True statements are:
The graph is a straight line.
The line does not pass through the origin.
The y-intercept of the line is 2.
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3f(5) x f(2)
Anyone understand this question?
Answer:
I do!
Decimal Form: f=−0.¯6,5
Step-by-step explanation:
If any individual factor on the left side of the equation is equal to 0 the entire expression will be equal to
0.3f+2=0f−5=0
Set
3f+2 equal to 0 and solve for f.
more steps...
f=−23
Set
f−5 equal to 0 and solve for f.
more steps...
f=5
The final solution is all the values that make
(3f+2)(f−5)=0
true.
f=−23,5
The result can be shown in multiple forms.
Exact Form :f=−23,5
HOPE IT HELPS :)
Find an
an equation for the perpendicular bisector of the line segment whose
endpoints are (–4,3) and (−8,—3).
Answer:
y = (-2/3)x + 4
Step-by-step explanation:
Use point-slope form to write the equation of a line that passes through the point (19,-12) with slope -3
Answer:
Step-by-step explanation:
The formula is :
(y - y1) = m(x - x1)
the given values are x1 = 19, y1 = -12 and m = slope = -3
putting values
(y + 12)= -3(x-19)
y + 12 = -3x +57
y+ 3x - 35 = 0
This is the required equation.
5.45 into a fraction
Answer:
[tex]\frac{109}{20}[/tex]
Step-by-step explanation:
.45 mean [tex]\frac{45}{100}[/tex] so 5.45 means 5 [tex]\frac{45}{100}[/tex] = [tex]\frac{9}{20}[/tex] If I divide the top and bottom of [tex]\frac{45}{100}[/tex] by 9
5 [tex]\frac{9}{20}[/tex] is a mixed number. I can make this an improper fraction by changing 5 to 1+1+1+1+1 Another name for 1 is any number over itself as a fraction.
I am going to write 1 as [tex]\frac{20}{20}[/tex]
5 can be written
[tex]\frac{20}{20}[/tex] + [tex]\frac{20}{20}[/tex] + [tex]\frac{20}{20}[/tex] + [tex]\frac{20}{20}[/tex] + [tex]\frac{20}{20}[/tex] = [tex]\frac{100}{20}[/tex]
5 [tex]\frac{9}{20}[/tex] Can be written
[tex]\frac{100}{20}[/tex] + [tex]\frac{9}{20}[/tex] = [tex]\frac{109}{20}[/tex]
Answer:
(109/20) Is the answer.
PLEASE HELP! due soon
Answer:
Your answer is 103.2413793103448
Step-by-step explanation:
[tex]29.94[/tex] ÷ [tex]29[/tex] [tex]= 1.032413793103448[/tex]
[tex]1.032413793103448[/tex] × [tex]100 = 103.2413793103448[/tex]
Trey's mom agreed to buy him a playstation card for $20, but it would come out of his chore money. He already has $7 in his wallet and will earn 15 for his chores. How much will he have left after paying his debt?
Answer:
2$
Step-by-step explanation:
Answer:
$2
Step-by-step explanation:
trey's mom bought him a card for $20, if he already has $7 & will get $15 for his chores, add them together & thats $22. Once he pays off the $20 he will have $2 left.
Please help this is due soon
Hello!
Let's solve:
The sum of all the angles of a triangle is ==> 180 degrees[tex]\hookrightarrow \text{In other words: } x + 59+ 84 + x + 51=180[/tex]
Solve the equation to find the value of 'x'[tex]x + 59 + 84 + x + 51= 180\\2x + 194=180\\2x = -14\\x = -7[/tex]
Since m∠A = x + 51, we just need to plug in x's valuem∠A = x + 51 = -7 + 51 = 44
Answer: 44
Hope that helps!
What percentage of this shape is shaded?
Answer:
You need to show the image
Step-by-step explanation:
Answer: 3.45
Step-by-step explanation:
what is the required flight visibility and distance from clouds if you are operating in class e airspace at 9,500 feet msl with a vfr-on-top clearance during daylight hours? a. 3 sm, 1,000 feet above, 500 feet below, and 2,000 feet horizontal. b. 5 sm, 500 feet above, 1,000 feet below, and 2,000 feet horizontal. c. 3 sm, 500 feet above, 1,000 feet below, and 2,000 feet horizontal.
It should be noted that if you are operating in class e airspace at 9,500 feet MSL with a VFR-on-top clearance during the day, the required flight visibility and distance from clouds are listed as "3 statute miles 1,000 above 500 below and 2,000 horizontal."
What is meant by flight visibility?The average forward horizontal distance of a flying aircraft from the cockpit at which prominent unlit objects can be seen and identified during the day and substantial lighted objects can be seen and identified during the night is known as flight visibility.
Visibility requirements exist the minimal visibility for flying.
According to Aviation Rules,
(a) According to aviation regulations, no person may operate an aircraft under visual flight rules (VFR) in restricted airspace when the ceiling is less than 1,000 feet unless flying vision is at least 2 miles.
b) No person shall work a helicopter under VFR at or below 1,200 feet above the ground or within the lateral boundaries of a specified Class B, C, D, or E airspace surface area of an aerodrome unless there exists clear visibility. exists at least -
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Sr-85 used on bone scans it has a half life of 64.9 days fine the remaining amount after 100 days
The remaining amount of the substance with the half life of 64.9 days after 100 days is 2.749.
How can the remaining amount of the substance be calculted?To calculate the amount that remains after 100 days, this formular can be used
amount remaining = [tex]a (0.50)^{\frac{t}{h} }[/tex]
where t is the time that was required for the process to take place, where t is 100 days.
h is the halftime, which is been given as 64.9 days
where a is given as the initial amount that is present which is 8.
Then the values can be substituted to have
[tex]=a (0.50)^{\frac{100}{64.9} }[/tex]
= 2.749
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Yasmin is making some pancakes. Her recipe makes 6 pancakes.
Flour
Eggs
Milk
100g
2
250ml
Yasmin wants to make 15 pancakes.
Complete the table to show how much she will need of each ingredient.
a cup of all-purpose flour as an ingredient
White sugar, 2 tablespoons
Baking powder, two teaspoons
1 salt shaker, or as desired
a cup of milk
Vegetable oil, two tablespoons
1 beaten egg
How to make a pancakes?Directions
In a sizable basin, mix the flour, sugar, baking soda, and salt. Pour the milk, oil, and egg into the center well that has been created. Blend until uniform.
Over medium-high heat, preheat a griddle or frying pan with a little oil. For each pancake, pour or scoop about 1/4 cup of batter onto the griddle; cook for 1 to 2 minutes, or until bubbles form and the edges are dry. The opposite side should be browned after flipping. Use the leftover batter to repeat.
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Given m || n, find the value of x.
m
(8x+14) (9x-4)°
n
Answer:
X=11
Step-by-step explanation:
Answer:
x=18
Step-by-step explanation:
Because, [tex](8*18+14)=(9*18-4)[/tex] is true
The area of a rectangle is 60 cm². The length is 11 cm more than the width. Find the width
Answer:
5
Step-by-step explanation:
let width be x
and because length is 11 times more than the width, therefore length equals to 11x
hence the equation equals to
area = length x width
60 = 11x + x
60 = 12x
x = 60/12
therefore, the width of the rectangle is 5
Do the ratios 12/8 and 2/1 form a proportion
Answer:
No, the cross products to not equal
Step-by-step explanation:
[tex]\frac{12}{8}[/tex] = [tex]\frac{2}{1}[/tex]
12(1) = 8(2)
12 [tex]\neq[/tex] 16
Or make them both into decimals
12/8 = 1.5
[tex]\frac{2}{1}[/tex] = 2 They do not equal each other.
Consiter this prism Enter the volume of the rectangular prism, in cubic centimeters.
To find the volume of the given prism, first, we have to transform each mixed number into a fraction
[tex]\begin{gathered} 3\frac{3}{4}=\frac{3\cdot4+3}{4}=\frac{12+3}{4}=\frac{15}{4} \\ 3\frac{1}{3}=\frac{3\cdot3+1}{3}=\frac{9+1}{3}=\frac{10}{3} \\ 2\frac{1}{2}=\frac{2\cdot2+1}{2}=\frac{4+1}{2}=\frac{5}{2} \end{gathered}[/tex]Then, we multiply the dimensions to find the volume
[tex]V=\frac{15}{4}\times\frac{10}{3}\times\frac{5}{2}=\frac{750}{24}=\frac{375}{12}ft^3=\frac{125}{4}ft^3=31\frac{1}{4}ft^3[/tex]But, we know that 1 foot is equivalent to 30.48 centimeters, so let's transform it
[tex]31.25ft^3\cdot\frac{30.48\cdot30.48\cdot30.48(cm)^3}{1ft^3}\approx884,901\frac{23}{50}(cm)^3[/tex]There are 125 people in a sport centre.
59 people use the gym.
70 people use the swimming pool.
55 people use the track.
25 people use the gym and the pool.
30 people use the pool and the track.
17 people use the gym and the track.
6 people use all three facilities.
A person is selected at random.
What is the probability that this person doesn't use any facility?
Answer:
Step-by-step explanation:
70+59+55+25+30+17=276
The probability that the person selected at random doesn't use any facility is 0.25
What is probability?The probability of an event can be mathematically said to be the number of required outcome divided by the number of possible outcomes.
From the question:
Total people in the sport centre=125Number of people that used all three facility=6Number of people that used only gym and pool=25-6=19Number of people that used only pool and track=39-6=24Number of people that used only gym and track=17-6=11Number of people that used only gym=59-(6+11+19)=26Number of people that used only pool=79-(6+19+24)=21Number of people that used only track=55-(6+11+24)=14Total number of people who used at least any of the three facilities=26+21+14+11+19+24+6=121
The number of persons that doesn't use any of the facility=125-121=4
Hence, the number of possible outcomes=4 and the probability that the person selected at random doesn't use any facility is 1/4 or 0.25
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60 points help will give brainliest
Answer:
(g o f)(8)
Step-by-step explanation:
First we find f(8).
f(8) = 8 - 1 or 7.
We now find g(f(8)), which means g(7).
g(7) = 7^3 or 343
How much must be deposited today into the following account in order to have a $125,000 college fund in 16 years? Assume no additional deposits are made. An account with monthly compounding and an APR of 7.3%
The amount that must be deposited to get a final amount of
$ 125,000 is $ 26.34 .
What is compound interest and how is it calculated?
The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It differs from simple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest.
Mathematically, A = P (1 + (R/n))^t
Given, the amount that will be developed after interest is laid
= A = $125,00
Also, number of years for which amount is loaned = n = 16 years
Annual Percentage Rate of the loan availed = R = 7.3
Frequency with which interest is paid out per year = 1
Following the formula established in the literature, we have:
125000 = P(1 + 7.3)⁴ ⇒ P = 125000/(1 + 7.3)⁴ ⇒ P = 125000/8.3⁴ = 26.34
Therefore, the amount that must be deposited to get a final amount of
$ 125,000 is $ 26.34 .
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25.6 = 8x solve for x
Answer:
x = [tex]\frac{16}{5} = 3\frac{1}{5} = 3.2[/tex]
Step-by-step explanation:
25.6 = 8x
Divide both sides by 8.
[tex]\frac{25.6}{8} = x\\[/tex]
Expand [tex]\frac{25.6}{8}[/tex] by multiplying both numerator and the denominator by 10.
[tex]\frac{256}{80} = x[/tex]
Reduce the fraction [tex]\frac{256}{80\\}[/tex] to lowest terms by extracting and canceling out 16.
[tex]\frac{16}{5} = x[/tex]
Swap sides so that all variable terms are on the left-hand side.
[tex]x = \frac{16}{5}[/tex]
If you answer is meant to be a fraction, then your correct answer is [tex]3\frac{1}{5}[/tex] and if you answer is meant to be a decimal then you correct answer is 3.2.
Hope I helped and have a good day. ~sunshine~ =D
A. On graph paper, draw a net that, when folded, will create this solid. B. Is there more than one possible net? Why or why not? C. Find the surface area and volume of this solid.
First of all, let's draw the net:
In which l= 3 units, h=2 units and w= 4 units.
The surface area will be:
SA= 2*h*w +2*l*w + 2*h*l
SA = 2*2*4 + 2*3*4 + 2*2*3
SA =16+24+12
SA= 52units²
The volume will be:
V=L*h*w
V= 3*2*4
V= 24 units³
30 POINTS!!!!! NEEDS HELP ASAP!!!!
The associative property of addition says you can change the______. of addends without affecting the sum.
A. grouping
B. operation
C. order
Answer:
C. order
Step-by-step explanation:
The associative property of addition allows you to change the of numbers without affecting the sum.
Answer: Grouping
Step-by-step explanation:
Changing the grouping of addends does not change the sum. For example, ( 2 + 3 ) + 4 = 2 + ( 3 + 4 ) (2 + 3) + 4 = 2 + (3 + 4) (2+3)+4=2+(3+4)left parenthesis, 2, plus, 3, right parenthesis, plus, 4, equals, 2, plus, left parenthesis, 3, plus, 4, right parenthesis.