Answer:
x = -4
Step-by-step explanation:
f(x) = x² - 16
This is the difference of squares
which factors as
f(x) = (x - 4)(x + 4)
Therefor the negative zero is
x = -4
If you place a 37-foot ladder against the top of a 15-foot building, how many feet will the bottom of the ladder be from the bottom of the building? Round to the nearest tenth of a foot.
Answer:
33.8
Step-by-step explanation:
a²+b²=c²
15²+b²=37²
225+b²=1369
-225 -225
b²=1144
√1144
b=33.8
The distance from the bottom of the ladder to the bottom of the building would be 33.8 foot.
What is Pythagoras' Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
|AC|^2 = |AB|^2 + |BC|^2
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
If you place a 37-foot ladder against the top of a 15-foot building.
Let BC be the distance from the bottom of the ladder to the bottom of the building.
[tex]|AC|^2 = |AB|^2 + |BC|^2 \\15^2+BC^2=37^2\\225 + BC^2=1369\\BC^2 = 1369 - 225\\\\BC^2 = 1144\\\\BC = 33.8[/tex]
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Need help asp being timed
Answer:
a(x) = √x+3
Step-by-step explanation:
i graphed it on desmos
The range of a set of numbers is 6 1/4
The smallest number is -2 3/8
Work out the largest number.
Answer:
HURRY
Dr. Khan works for the marketing department of a company that manufactures mechanical toy dogs. Dr. Khan has been asked to assess the effectiveness of a new advertising campaign that is designed to be most persuasive to people with a certain personality profile. She brought four groups of participants to the lab to watch the video advertisements and to measure the likelihood that they would purchase the toy, both before and after watching the ad. The results of Dr. Khan’s study are presented below.
Part A
Explain how each of the following concepts applies to Dr. Khan’s research.
Survey
Dependent variable
Big Five theory of personality
Part B
Explain the limitations of Dr. Khan’s study based on the research method used.
Explain what Dr. Khan’s research hypothesis most likely was.
Part C
Use the graph to answer the following questions.
How did the trait of agreeableness affect how people responded to the new ad campaign?
How did the trait of conscientiousness affect how people responded to the new ad campaign?
Answer:
3 [tex]\frac{7}{8}[/tex]
Step-by-step explanation:
To find the largest number add the value of the range to the smallest number.
- 2 [tex]\frac{3}{8}[/tex] + 6 [tex]\frac{1}{4}[/tex] ( change to improper fractions )
= - [tex]\frac{19}{8}[/tex] + [tex]\frac{25}{4}[/tex]
= - [tex]\frac{19}{8}[/tex] + [tex]\frac{50}{8}[/tex]
= [tex]\frac{31}{8}[/tex]
= 3 [tex]\frac{7}{8}[/tex]
in 2012, the population of a city was 63,000. by 2017, the population was reduced to approximately 54,100. identify any equations that are appropriate models for the population of the city, and explain why the others are not
Answer:
[tex]f(x) = 63000(0.97)^x[/tex]
Step-by-step explanation:
Given
[tex]f(0) = 63000[/tex] ---x = 0, in 2012
[tex]f(5) = 54100[/tex] -- x = 5, in 2017
Required
Select all possible equations
Because there is a reduction in the population, as time increases; the rate must be less than 1.
An exponential function is represented as:
[tex]f(x) = ab^x[/tex]
Where
[tex]b = rate[/tex]
rate > 1 in options (a) and (b) i.e. 1.03
This implies that (a) and (b) cannot be true
For option (c), we have:
[tex]f(x) = 63000(0.97)^x[/tex]
Set x = 0
[tex]f(0) = 63000(0.97)^0 = 63000*1=63000\\[/tex]
Set x = 5
[tex]f(5) = 63000(0.97)^5 = 63000*0.8587=54098.1 \approx 54100[/tex]
This is true because the calculated values of f(0) and f(5) correspond to the given values
For option (d), we have:
[tex]f(x) = 52477(0.97)^x[/tex]
Set x = 0
[tex]f(0) = 52477(0.97)^0 - 52477* 1 = 52477[/tex]
This is false because the calculated value of f(0) does not correspond to the given value
For option (e), we have:
[tex]f(x) = 63000(0.97)^\frac{1}{5x}[/tex]
Set x = 0
[tex]f(0) = 63000(0.97)^\frac{1}{5*0} = 63000(0.97)^\frac{1}{0} =[/tex]undefined
This is false because the f(x) is not undefined at x = 0
For option (f), we have:
[tex]f(x) = 52477(0.97)^{5x[/tex]
Set x = 0
[tex]f(0) = 52477(0.97)^{5*0} = 52477(0.97)^0 =52477*1= 52477[/tex]
This is false because the calculated value of f(0) does not correspond to the given value
From the computations above, only (c) [tex]f(x) = 63000(0.97)^x[/tex] is true
The point P (x,y) lies on the terminal side of an angle 0= 195 in standard position. What are the signs of the value of x and y
Answer:
When we have a point (x, y), the angle that defines this point in polar coordinates is given by:
Tan(θ) = y/x
In this case, we know that θ = 195°
Then replacing that, we get:
Tan(195°) = y/x
0.268 = y/x
Now, there is a problem, we have a single equation and two variables.
So we will get:
y = (0.268)*x
This equation defines all the possible values that x and y could take such the angle in standard position is 195°.
So we only can conclude that:
x and y have the same sign.
For a given value of x, the correspondent y-value is:
y = (0.268)*x
How many miles do you drive to school a statistical or a non-statistical question
Answer:
Non statistical
Step-by-step explanation:
Answer:
Statistical
Step-by-step explanation:
It depends on ones location because any one lives down the street from the local high school.
A non-statistical question only has one answer such as what is the freezing degree mark in Fahrenheit
Pls mark me brainiest
ace please help help
Answer: A
HOPE THIS HELPS
Help help yes plsssssssss
Choose all of the equations that are true,
DA +8=2
D
***
10
Answer:
B. 1/4 ÷ 8= 1/32
D. 1/8÷4= 1/32
E. 1/4÷4=1/16
Step-by-step explanation:
Answer:
should be B D E___________
find the volume! please :) ( links = blocked )
100
75
50
25
what is the slope of this image
Answer:
50
Step-by-step explanation:
Alright, so two of the points are: (0,25) (1,75)
Now we line them up:
(0,25)
(1, 75)
And, 0 to 1 has "1" as a difference.
That'll go on the bottom.
25 to 75 has a "50" difference.
That goes on top.
And then we get the slope of 50.
Hope this helped! :)
Answer:
Slope = 50
Step-by-step explanation:
[tex]\frac{y2-y1}{x2-x1}[/tex]
(1,75) (2,125)
125 - 75/2-1
125-75 = 50
2-1 = 1
50/1 = 50
Whats the 32nd term of the following sequence:
5, 8, 11, ...
Find the arc length of the partial circle. Use 3.14 for pi and enter your answer as a decimal.
Answer:
However, if you're trying to find the arc length of a partial circle, it's not the same as the circumference of the same circle wholly. You need to find out the circumference of the whole circle first before you can find the arc length (or the circumference of the partial circle).
Step-by-step explanation:
Answer:
9.42 units
Step-by-step explanation:
A stem-and-leaf plot is most useful for which reasons below? Select all that apply.
When the measures of central tendency need to be identified.
When the data needs to be displayed in intervals.
When you want to see individual data.
When the range is wide.
Answer:
A,C,D
Step-by-step explanation:
Answer:
ITS ALL OF THEM
JUST DID IT
I need some help find the area of the shaded region and round to the nearest hundredth
Answer:
The area of the shaded region is 21.45cm².
Item 22
At the beginning of the week, a puppy weighed 514 pounds. During the week, the puppy gains 8 ounces.
How much does the puppy weigh, in pounds, at the end of the week?
Enter your answer as a mixed number in simplest form by filling in the boxes.
Answer:
five and three fourths
Step-by-step explanation:
eight ounces is 0.5 of a pound with is half of a pound
PLSSSSS HELP ME I WILL GIVE BRAINLIEST
Answer:
y-intercept is (0,5)
Step-by-step explanation:
When a graph passes through (0,a), that's y-intercept. y-intercept is a point on y-plane that a graph passes through.
For Ex. If a graph passes through (0,4) then the y-intercept would be (0,4).
But remember that it must be (0,a) for it to be y-intercept (Because it has to intersect the y-plane)
A company’s mean salary is $65,000 with a standard deviation of $6,000. What is the probability that an employee makes between $70,000 and $80,000?
An employee has a probability of 0.19706 to make between $70,000 and $80,000
What is Probability?Probability is the potential for an event to occur or occur, and it indicates the likelihood that a statement is true. It is a field of mathematics where the probabilities of experiments happening are computed. We can determine everything from the likelihood of getting heads or tails when tossing a coin to the likelihood of making a research error, for instance, using a probability. It's formula is = number of favorable outcomes/total number of outcomes
Let X be the annual salary of employees in a large company.
Given the mean salary is $65,000 and the standard deviation is $6,000, the probability of making between $70000 and 80000 can be calculated as:
[tex]P(70000 < X < 80000)[/tex] = [tex]P(\frac{70000 - 65000}{6000} < z < \frac{80000 - 65000}{6000} )[/tex]
[tex]P(0.833 < z < 2.5)[/tex]
= 0.99379 - 0.79673 (from normal distribution table)
= 0.19706
Hence, the probability that an employee makes between $70,000 and $80,000 is 0.19706
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If both spinners are spun simultaneously, what is the probability that both spinners will land on orange?
Answer:
The probability that neither land on orange is (1/2)* (7/8) = 7/16. Hence, the probability that at least one lands on orange is 1 - 7/16 = 9/16.
Step-by-step explanation:
me big brain
Antoine buys 8 caramel apples for 20.00. Each caramel apple costs the same amount. What is the cost, in dollars, per caramel apple?
Answer:
2.5 per Caramel apple , just divide it , I hope that's correct and I'm sorry if it's not.
Answer:
2 dollars
Step-by-step explanation:
You and a friend are playing a game of chance. Every time you roll (using a fair die) a 1, 2, 3, or 4, you are successful, and your friend will pay you $1. Every time you roll a 5 or 6, you must pay your friend $2. If 65% of your rolls are successful and 35% of your rolls are unsuccessful, how much money do you expect to have won/owe by the end of the game?
You owe 41 cents
You have won 5 cents
You owe 5 cents
You have won 41 cents
Answer:
you owe $5
Step-by-step explanation:
65% wins means $65
35% losses means -$70
Answer:
You owe 5 cents.
Step-by-step explanation:
(the amount of money won)(the number of successful rolls)+(the amount of money lost)(the number of unsuccessful rolls)=expected value
65% of rolls are successful which means that 13/20 of the rolls are successful (simply convert to a fraction).
35% of the rolls are unsuccessful which means that 7/20 of the rolls are unsuccessful.
Using the equation above we can use,
(1)(13/20)+(-2)(7/20)
to find the expected value.
(1)(13/20)+(-2)(7/20)=0.05
What is the median of the stem and lear plot
Answer:The median is the middle number of a set of data. The mode is the number that occurs the most in a set of data. You can use a stem-and-leaf plot to find the mean, median and mode of a set of data. ... Sometimes there will only be one number in the middle, and sometimes there will be two numbers
Step-by-step explanation:
What is the area of the shaded region?
18 mi
19 mi
7 mi
8 mi
Answer
19 mi
Step-by-step explanation:
Given that the student chosen was a female, find the probability that the student chose invisibility as their superpower. P\left( \text{invisibility }| \text{ female} \right)=P(invisibility ∣ female
Answer:
[tex]P(Invisibility | Female) = \frac{2}{3}[/tex]
Step-by-step explanation:
Given
See attachment for two-way table
Required
Determine [tex]P(Invisibility | Female)[/tex]
This is calculated using the following formula for conditional probability:
[tex]P(Invisibility | Female) = \frac{n(Invisibility \& Female)}{n(Female)}[/tex]
From the attached table
[tex]n(Invisibility \& Female) = 32[/tex]
[tex]n(Female) = 48[/tex]
So, the equation becomes:
[tex]P(Invisibility | Female) = \frac{32}{48}[/tex]
Simplify
[tex]P(Invisibility | Female) = \frac{32/16}{48/16}[/tex]
[tex]P(Invisibility | Female) = \frac{2}{3}[/tex]
Find the value of x.
Answer:
x=67º
Step-by-step explanation:
First since the supplementary angle next to 157º is in the triangle, we can find that. 180-157 = 23. Then we can use triangle angle sum theorem to find x. 180-(23+90) = 67º
Find the surface area of the ball shown. Use 3.14 for π.
Radius is 11 cm.
Answer:
379.94
Step-by-step explanation:
Hope this helps :)
Simi bought a study table for $ 9000. She sold it at a profit of 20%. How much profit did she make? What is the selling price?
Answer:
cost price of a table=$9000
profit%=20%
Let profit be x
to find profit use formula,
profit%=profit/cost price*100
20%=x/$9000*100
20*$9000=100x
$180000/100=x
$1800=x
Now to find selling prie os a table use formula,
cost price +profit
$9000+$1800
$91800
therefore selling price of a table is $91800
Step-by-step explanation:
Hope this helps u!!
How do you turn 5(2x+y) into like terms?
5(2x+y) → [ ? ] - 2y-6x
Answer:
10 x + 5 y
Step-by-step explanation:
PLEASSE, PLZZ HELP MEEEE.
Divide the difference of 50 and 10 by the sum of 3 and 2. what expression represents the statement?
Answer:
(50-10) ÷ (3+2)
Step-by-step explanation:
Answer:
E
Step-by-step explanation:
E