Answer:
The point of intersection is [tex]( \frac{-1\pm\sqrt{5}}{2}, 0)[/tex]
Step-by-step explanation:
f(x) = 2x^2 + 3x - 3 and g(x) = - x^2
By equating them
2x^2 + 3x - 3 = -x^2
3x^2 + 3 x - 3 = 0
x^2 + x - 1 = 0
[tex]x^2 +x - 1 = 0 \\\\x = \frac{-1\pm\sqrt{5}}{2}[/tex]
The length of a rectangle is 3 ft longer than its width.
If the perimeter of the rectangle is 42 ft, find its area.
Answer:
A = 108 feet²
Step-by-step explanation:
Let the width is b.
Length = 3+b
Perimeter of the rectangle, P = 42 ft
Perimeter = 2(l+b)
42 = 2 (3+b+b)
21 = (3+2b)
21-3 = 2b
18 = 2b
b = 9 feet
Length, l = 3+9 = 12 feet
Area of the rectangle,
A = lb
So,
A = 12 × 9
A = 108 feet²
So, the area of the rectangle is 108 feet².
The scatterplot shows the attendance at a pool for different daily high temperatures.
A graph titled pool attendance has temperature (degrees Fahrenheit) on the x-axis, and people (hundreds) on the y-axis. Points are at (72, 0.8), (75, 0.8), (77, 1.1), (82, 1.4), (87, 1.5), (90, 2.5), (92, 2.6), (95, 2.6), (96, 2.7). An orange point is at (86, 0.4).
Complete the statements based on the information provided.
The scatterplot including only the blue data points shows
✔ a strong positive
association. Including the orange data point at (86, 0.4) would
✔ weaken
the correlation and
✔ decrease
the value of r.
Answer:
✔ a strong positive
✔ weaken
✔ decrease
ED2021
Answer:
The scatterplot including only the blue data points shows
✔ a strong positive
association. Including the orange data point at (86, 0.4) would
✔ weaken
the correlation and
✔ decrease
the value of r.
Step-by-step explanation:
Which expression is equivalent to -80?
O -4.5
O-4.5
O 4/5
O 4.5
Answer:
-4/5
Step-by-step explanation:
When you divide -4 from 5 you get -0.80
Mathematics question help
Distance Formula: [tex]\sqrt{(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}[/tex]
Point 1: (9,0)
Point 2: (5,-8)
D = sqrt[ (5 - 9)^2 + (-8 - 0)^2 ]
D = sqrt[ (-4)^2 + (-8)^2 ]
D = sqrt[ 16 + 64]
D = sqrt(80)
Hope this helps!
Write an inequality to describe the region.
The solid cylinder that lies on or below the plane z = 1 and on or above the disk in the xy-plane with center the origin and radius 3
Answer:
I don't really know
Step-by-step explanation:
Why don't u ask ur teacher for help that will help u more so in a test u can't use brainly
WILL MARK BRAINLYST!!! Enter the correct answer in the box. Write your answer in the form y=mx+ b, using the appropriate inequality symbol in place of the equal sign.
What inequality is shown in the graph?
Answer:
The inequality shown in the graphic is [tex]y > 4x + 1[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line is given by:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept(value of y when x = 0).
Inequality:
Values greater than the dashed line, dashed so the line is not part of the inequality, thus, the inequality is:
[tex]y > mx + b[/tex]
Dashed line:
The dashed line goes through (0,1) and (1,5).
Point (0,1) means that when [tex]x = 0, y = 1[/tex], so [tex]b = 1[/tex], and:
[tex]y > mx + 1[/tex]
Finding the slope:
When we have two points, the slope is given by the change in y divided by the change in x. In this question, we have point (0,1) and (1,5), so:
Change in y: 5 - 1 = 4
Change in x: 1 - 0 = 1
Slope: [tex]m = \frac{4}{1} = 4[/tex]
What inequality is shown in the graph?
[tex]y > 4x + 1[/tex]
A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 7 large boxes and 9 small boxes has a total weight of 192
kilograms. A delivery of 5 large boxes and 3 small boxes has a total weight of 114 kilograms. How much does each type of box weigh?
After how many years, to the nearest whole year, will an investment of $100,000 compounded quarterly at 4% be worth
$213,022?
Provide your answer below:
9514 1404 393
Answer:
19 years
Step-by-step explanation:
The compound interest formula tells you the future value of principal P invested at annual rate r compounded n times per year for t years is ...
A = P(1 +r/n)^(nt)
Solving for t, we get ...
t = log(A/P)/(n·log(1 +r/n))
Using the given values, we find t to be ...
t = log(2.13022)/(4·log(1 +0.04/4)) ≈ 19.000
The investment will be worth $213,022 after 19 years.
HELPP plz don't send a file whats the answer and explanation plz if you can
Answer:
5/0 is not a rational number
Step-by-step explanation:
you cant divide by 0
Zoe walked 9 miles in 6 hours. What was her walking rate in miles per hour? Express your answer in simplest form.
Answer: 1 1/2miles/h or 1.5miles/h
Step-by-step explanation:
Total miles walked by zoe in 6 hours = 9miles
Her walking rate = Distance/Time
= 9/6
= 3/2
= 1 1/2
Therefore her walk rate is 1 1/2miles/h or 1.5miles/h
Must click thanks and mark brainliest
write your answer in simplest radical form
Answer:
s = 17
Step-by-step explanation:
Using the tangent ratio in the right triangle and the exact value
tan60° = [tex]\sqrt{3}[/tex] , then
tan60° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{17\sqrt{3} }{s}[/tex] = [tex]\sqrt{3}[/tex] ( multiply both sides by s )
s × [tex]\sqrt{3}[/tex] = 17[tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )
s = 17
Give example to verify if the given statement is true or false
1) if two numbers are co-primes , at least one of them should be prime number.
Answer:
no
Step-by-step explanation:
if two numbers are co-prime that is not necessary that one of them must be a prime number
A popular beach erodes 4 inches per year on average.
An eroding beach.
A. How many years will it take for the coastline to erode one foot?
Answer:
3 years
Step-by-step explanation:
4 inches per year on average
1 foot = 12 inches
12 divided by 4 equals 3
therefore it is 3 years
Consider the line y = 4x + 9. If a second line is perpendicular to this one, what is its slope?
Answer:
Step-by-step explanation:
slope of line perpendicular to y=mx+c is -1/m
so here reqd. slope=-1/4
welp I am getting graded for this
Answer:
it is summer how do y'all still have school,like don't they give y'all a break
Find the x-intercepts of the l equation y=3x-6
Answer:
(2,0)
Step-by-step explanation:
the x intercept is when 'y' is equal to 0 :
0 = 3x - 6
6 = 3x
x = 2
Answer:
(2,0)
Step-by-step explanation:
y = 3x-6
The x intercept is found by setting y = 0 and solving for x
0 = 3x-6
Add 6 to each side
6 = 3x-6+6
6 =3x
Divide each side by 3
6/3 = 3x/3
2 =x
The x intercept is
(2,0)
Last week, you spoke with 800 customers in 40 hours."
Employee: "That is an average of __________ customers every 30 minutes."
Answer:
10 customers
Step-by-step explanation:
Hi!
Each hour has 60 minutes, so two half hour (30 minute) blocks. Thus, 1 hour = 2 half hours, so 40 hours = 80 half hours.
800 customers in 80 half hours, divide that:
800 customers / 80 half hours = 10 customers / half hour
So, your answer is 10 customers every half hour, or 10 customers every 30 minutes.
Average is [tex]10[/tex] customers per hour
Average is a single number taken as representative of a list of numbers, usually the sum of the numbers divided by how many numbers are in the list.
Total number of customers [tex]=800[/tex]
Total number of hours [tex]=40[/tex]
[tex]=40\times 60[/tex]
[tex]=2400[/tex] minutes
Average (in every [tex]30[/tex] minutes) [tex]=[/tex] Total number of customers [tex]\div[/tex] Total number of hours
[tex]=\frac{800}{2400 \div 30}[/tex]
[tex]=10[/tex] customers per hour
For more information:
https://brainly.com/question/19622178?referrer=searchResults
The 25th percentile for waiting time in a doctor's office is 25 minutes. The 75th percentile is 40 minutes. The interquartile range (IQR) is
Group of answer choices
15 minutes.
14 minutes.
impossible to determine without knowing n.
13 minutes.
Answer:
15 minutes
Step-by-step explanation:
The IQR is the range between Q1 and Q3. The quartile that represents 25% is Q1 and 75% is Q3. So, to solve find the range between 75% and 25%. The range is the difference. Therefore, subtract 25 from 40 to get the final answer, 15 minutes.
A catering company uses different functions to estimate the itemized costs for a party. The table below represents the included tip for wait staff as a function of the number of guests served.
A table showing Catering Cost for Wait Staff Gratuity with two columns and 6 rows. The first column has, Number of Guests, and has the entries, 10, 20, 30, 40, 50. The second column, Wait Staff Tip, has the entries, $18, $36, $54, $72, $90.
If the tip varies directly with the number of guests, which equation represents the relationship between the tip, t, and the number of guests, g?
t = 1.8g
t = t equals StartFraction g Over 18 EndFraction.
g = 1.8t
g = g equals StartFraction t Over 18 EndFraction.
Answer: t = 1.8g
Step-by-step explanation:
Since we are given the information that the tip varies directly with the number of guests, then the formula to use will be:
t = kg
where,
t = wait staff tip
g = number of guests
Therefore, when the number of guests is 10 and the tip is $18, the constant of proportionality will be:
t = kg
18 = 10k
k = 18/10
k = 1.8
Therefore, t = 1.8g
Answer:
A.
Step-by-step explanation:
each week a train travels the same route 47 times about how many times does the train travel the route 43 weeks?
Answers
1,500 times
200 times
150 times
2,000 times
Answer:
Roughly 2,000 times
Step-by-step explanation:
47 x 43 = 2,021
Thank You
Examining and Interpreting a Statistical Report
To help make his case to potential investors in his invention, Martin found a poll conducted by Gallup, a well-known research organization. Take some time to read the report, and then answer the questions to analyze the merits and limitations of this survey.
Part A
The poll report includes a table titled, “Americans Using Cash Now Versus Five Years Ago, by Age.” The age intervals are not equal. Why do you think the Gallup organization chose the age intervals of 23–34, 35–54, and 55+ to display these results?
The Gallup organization chose the age intervals of 23–34, 35–54, and 55+ to display these results due to they wanted to identify the habits about the use of cash in the different stages of a person's life, differentiated by ranges of unequal age.
Application of statistics in the collection of information.
Although the most common case when preparing a frequency table is to develop equal ranges that allow the behavior of the respondents to be identified every certain number of possible values.
Example:
0.1 - 10 10.1 - 20 20.1 - 30
On some occasions, irregular or uneven ranges are used that refer to a specific market stage or niche.
In part A of the exercise, you can clearly identify the three stages of adult life that could change your money-use habits:
23 - 34: Group that could be called "young adults", possibly made up of university students, and people who recently started their work stage. 35 - 54: Group of "middle-aged people", made up of people who have been working and managing their finances for a long time, even those who are even close to retirement. 55 or more: People of the "third age" or close to said category, made up of pre-pensioners and pensioners or people who are no longer active in employment.
As you can see, each of these groups present great differences that, from the point of view of a person interested in investing in their invention, a poll report like this is more attractive to select the niche of potential investors based on the work stage of said person.
By this reason, The Gallup organization chose the age intervals due to their money-habits, depending on the stage of his/her life.
If you want to see another example about poll reports, you can use the next link: https://brainly.com/question/15223266?referrer=searchResults
Algebra word problem plz help me
Step-by-step explanation:
here's the answer to your question
Write each word phrase as an algebrale
expression for exercises 66-69
66) ten less than a number
67) the product of x andy
The algebraic expression for ten less than n
66) ten less than a number
Let the number be n
= n - 10
67) the product of x and y
= x × y or xy
68) The algebraic expression for ten less than n
= n - 10
Must click thanks and mark brainliest
Select the correct answers in the table.
Rachel enjoys exercising outdoors. Today she walked 5 2/3 miles in 2 2/3 hours. What is Rachel’s unit walking rate in miles per hour and in hours per mile?
Help me with this, can’t decide if it’s b or d
Answer:
I guess the the correct answer is D
The polygons in each pair are similar. Find the missing side length.
Let missing side be x
If both polygons are similar
[tex]\\ \sf\longmapsto \dfrac{3}{4}=\dfrac{18}{x}[/tex]
[tex]\\ \sf\longmapsto 3x=4(18)[/tex]
[tex]\\ \sf\longmapsto 3x=72[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{72}{3}[/tex]
[tex]\\ \sf\longmapsto x=24[/tex]
A sample of 1700 computer chips revealed that 35% of the chips do not fail in the first 1000 hours of their use. The company's promotional literature claimed that over 32% do not fail in the first 1000 hours of their use. Is there sufficient evidence at the 0.02 level to support the company's claim
Answer:
The p-value of the test is 0.004 < 0.02, which means that there is sufficient evidence at the 0.02 level to support the company's claim.
Step-by-step explanation:
The company's promotional literature claimed that over 32% do not fail in the first 1000 hours of their use.
At the null hypothesis, we test if the proportion is of at most 32%, that is:
[tex]H_0: p \leq 0.32[/tex]
At the alternative hypothesis, we test if the proportion is more than 32%, that is:
[tex]H_1: p > 0.32[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.32 is tested at the null hypothesis:
This means that [tex]\mu = 0.32 \sigma = \sqrt{0.32*0.68}[/tex]
A sample of 1700 computer chips revealed that 35% of the chips do not fail in the first 1000 hours of their use.
This means that [tex]n = 1700, X = 0.35[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.35 - 0.32}{\frac{\sqrt{0.32*0.68}}{\sqrt{1700}}}[/tex]
[tex]z = 2.65[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample proportion above 0.35, which is 1 subtracted by the p-value of z = 2.65.
Looking at the z-table, z = 2.65 has a p-value of 0.9960.
1 - 0.9960 = 0.004.
The p-value of the test is 0.004 < 0.02, which means that there is sufficient evidence at the 0.02 level to support the company's claim.
Individual claim sizes may be modeled by a uniform distribution function on the interval [$1000, $5000]. Eighty claims are examined. Assume claims are independent.
What is the approximate probability that total claims will be between $250,000 and $300,000?
a) 17%
b) 34%
c) 50%
d) 84%
e) 97%
express the following in standard form
1) 5,94,00,00,00,000
2) 6892.25
Plz tell
Answer:
first one is going to be
5.94x10¹¹
second one is going to be
6.89225x10³
Carter buys a one-gallon bottle of juice for $23.04. What is the unit rate of the cost of the juice per fluid ounce?
1 gallon
=
1 gallon=
4 quarts
4 quarts
1 quart
=
1 quart=
2 pints
2 pints
1 pint
=
1 pint=
2 cups
2 cups
1 cup
=
1 cup=
8 fluid ounces
8 fluid ounces
Before you try that problem, answer the question below.
How many fluid ounces of juice did Carter buy?
1 gallon = 4 quarts
4 quarts = 8 pints
8 pints = 16 cups
16 cups = 128 fluid ounces
He bought 128 ounces
