D. Graph D. A graph that shows a quadratic function with a discriminant value of 0 is graph D.
In Mathemeatics, the number of zeros for any quadratic function by using the discriminant formula as follows;
Discriminant, D = b² - 4ac
where:
a, b, and c are constants.
Note:
If D equals 0, the quadratic equation has only one real solution.
If D is greater than 0, the quadratic equation has two real solutions.
If D is less than 0, the quadratic equation has two complex solutions
In this context, we can logically deduce that only graph D shows a quadratic function with a discriminant value of 0 because it has only one real solution (x = 1).
If the scale factor of Figure A to Figure B is 3:8, find the value of x.
We have been given that two figures. The scale factor of Figure A to Figure B is 3:8. We are asked to find the value of x.
We will use proportions to solve our given problem.
[tex]\frac{\text{Figure A}}{\text{Figure B}}=\frac{3}{8}[/tex]
Upon substituting the ratio between figure A and figure B, we will get:
[tex]\frac{3}{8}=\frac{x}{24}[/tex]
[tex]\frac{3}{8}\cdot 24=\frac{x}{24}\cdot 24[/tex]
[tex]\frac{3}{1}\cdot 3=x[/tex]
[tex]9=x[/tex]
Therefore, the value of x is 9.
In the given problem we have scale factor of Figure A and Figure B. We have to use proportion rule to solve the problem.
The value of [tex]x[/tex] is 9.
Given:
The ratio of figure A and figure B is [tex]3:8=\dfrac{3}{8}[/tex].
Write the equation for proportion.
[tex]\dfrac{3}{8}=\dfrac{x}{24}[/tex]
Apply the cross multiplication rule.
[tex]3\times24=8\times x[/tex]
Further solve for the [tex]x[/tex].
[tex]x=\dfrac{3\times 24}{8}\\x=9[/tex]
Thus, the value of [tex]x[/tex] is 9.
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Gerardo spins a spinner with four equal sections, labeled A, B, C, and D, twice. If letter A is spun at least once, Gerardo wins. Otherwise, Odell wins. Use a list to find the sample space. Then find the probability that Odell wins.
Answer:
3/4
Step-by-step explanation:
Final answer:
The probability of Odell winning, which happens when 'A' is not spun at all, is 9 out of 16 possible outcomes when the spinner is spun twice. We calculate this by counting the number of outcomes without 'A' (9) and dividing by the total number of outcomes (16).
Explanation:
To find the probability that Odell wins, we first need to list all the possible outcomes when Gerardo spins the spinner twice. Since the spinner has four equal sections labeled A, B, C, and D, we can list the sample space (S), which includes every combination of two spins:
AA
AB
AC
AD
BA
BB
BC
BD
CA
CB
CC
CD
DA
DB
DC
DD
For Gerardo to win, A must appear at least once. We can identify the outcomes in which A does not appear at all, which would be the cases where Odell wins:
BB
BC
BD
CB
CC
CD
DB
DC
DD
There are 9 outcomes where A does not appear. Since each combination is equally likely, we can calculate the probability (P) that Odell wins by determining the ratio of these 9 outcomes to the total 16 outcomes in the sample space:
P(Odell wins) = Number of Odell winning outcomes / Total outcomes = 9 / 16
Therefore, the probability that Odell wins is 9/16.
Michael invested 5,000 in an account that has a 5.5% annual interest rate. What equation best describes investment after T years?
Answer:
V = 5000 + 275*T for simple annual interest
or: A = 5000 * (1.055)^T for an annual compound interest
Step-by-step explanation:
I assume this is a simple interest rate. If not I will give the one for compound interest.
V = 5000 + 5000* 0.055 * T (Value of account after T years)
V = 5000 + 275*T for simple annual interest
or: A = 5000 * (1.055)^T for an annual compound interest
The equation that best describes the investment after T years is I = P * r * T, where I is the investment value, P is the principal amount, r is the interest rate, and T is the number of years.
Explanation:The equation that best describes the investment after T years is:
I = P * r * T
Where:
I is the investment value after T years
P is the principal amount initially invested ($5,000 in this case)
r is the interest rate per year (5.5% as a decimal, which is 0.055)
T is the number of years
For example, if T = 3 years, the equation would be:
I = 5000 * 0.055 * 3 = 825
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If a reporter for your local newspaper conducts a survey on music preference and only asks people leaving a country music concert, explain why this is a biased sample.
It’s biased because he is asking people who left a country concert and usually people who go to concerts go because it’s the type of music that they like, so the chances of someone saying they like a different kind of music probably won’t happen.
Aaron compared the counts of two species of bacteria after being treated with an antibiotic. The results are shown in the table below. Time (hours) Bacteria 1 Count Bacteria 2 Count 0 6,000 8,000 1 5,000 6,000 2 4,500 4,500 3 4,000 3,375 4 3,200 2,531 Which statement best describes this situation? A. The counts of both species are changing exponentially. B. Only the count of bacteria 1 is changing exponentially. C. The count of neither of the species is changing exponentially. D. Only the count of bacteria 2 is changing exponentially.
Answer:
Second Option: Only the count of bacteria 2 is changing exponentially.
A roofer leaned a 16 foot ladder against a house if the base of the ladder is 5 feet from the house how high up the house does the ladder reach
Answer:
15.2 feet
Step-by-step explanation:
We use Pythagorean Theorem to find the height.
The hypotenuse of the formed triangle = length of ladder = 16 feet
base = 5 feet
let h = height of house
16 ^2 = 5^2 + h^2
256 = 25 + h^2
231 = h^2
h = root(231) = 15.1986 feet
A scientist is working with 9 meters of gold wire. How long is the wire in millimeters?
Be sure to include the correct unit in your answer.
Answer:
The length of the wire in millimeters is 9 × 10² mm.
Step-by-step explanation:
1 meter is equal to 1000 millimeters. This is the ratio that we use to convert a length in meters to one in millimeters.
0.9 m × (1000 mm/ 1 m) = 900 mm = 9 × 10² mm (we round off to 1 significant figure)
Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
Answer:
We divided the figure into 1 triangle and 2 rectangles.
Adding up the area of them, we get the total area:
A = area of triangle + area of 2 rectangles
= base x height/2 + length1 x width1 + length2 x width2
= 7 x (15 + 2 - 6 - 2)/2 + 8 x 15 + 5 x 2
= 161.5
Hope this helps!
:)
Li’s family is saving money for their summer vacation. Their vacation savings account currently has a balance of $2,764. The family would like to have at least $5,000. The inequality 2764 + x Greater-than-or-equal-to 5000 can be used to determine the amount of money the family still needs to save. What is the solution to the inequality? x Greater-than-or-equal-to 2236 x Greater-than-or-equal-to 7764 x Less-than-or-equal-to 2236 x Less-than-or-equal-to 7764
Answer:
A) x >(Greater-than-or-equal-to) 2236
Step-by-step explanation:
The solution of the inequality (2764 + x) ≥ 5000 is x ≥ 2236 (x Greater-than-or-equal-to 2236) which is option a.
What is Inequality?An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value.
a ≠ b says that a is not equal to b
a < b says that a is less than b
a > b says that a is greater than b
(those two are known as strict inequality)
a ≤ b means that a is less than or equal to b
a ≥ b means that a is greater than or equal to b
According to question
Their savings are $2764
and they need $5000
so inequality is (2764 + x) ≥ 5000
On solving
2764 + x ≥ 5000
x ≥ 5000 - 2764
x ≥ 2236
Hence, The solution of the inequality (2764 + x) ≥ 5000 is x ≥ 2236 (x Greater-than-or-equal-to 2236).
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guests at an amusement park must be at least 48 inches tall to be able to ride the bumper cars. which graph represents the set of heights in inches that satisfy this requirement
Answer: c
Step-by-step explanation:
Took i
the test
All values above 48 are in the solution set, so everything to the right of the circle is shaded, the correct option is C.
What is graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
Let x be the height required for the ride.
Guests must be at least 48 inches tall to be able to ride the roller coaster. It means required height is greater than or equal to 48.
x ≥ 48
Since, 48 is included in the solution set, therefore there is a closed circle at 48.
All values above 48 are in the solution set, so everything to the right of the circle is shaded.
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Carly placed 50 marbles in a bag. Fifteen of the marbles are pink, 8 marbles are black,
2 marbles are green, 18 marbles are clear, and 7 marbles are striped. Click and drag
the letters onto the probability scale to order the likelihood that the event will happen.
The student's question addresses the probability of selecting marbles of specific colors from a bag, which involves using combinatorics and probability theory, such as hypergeometric and multinomial distributions, for calculation.
Explanation:The student's question pertains to the calculation of the probability of selecting marbles of a certain color from a bag, given a total number of marbles and the number of marbles of each color. The problems require knowledge of combinatorics and probability theory to solve.
Example 1
If a bag contains 50 marbles and 15 of them are green, the probability of choosing exactly 3 green marbles out of 10 selected can be calculated using the hypergeometric distribution. This involves using combinations to find out how many ways 3 green marbles can be chosen from 15, and how many ways 7 other marbles can be chosen from the remaining 35. These results are then divided by the number of ways to choose any 10 marbles from 50.
Example 2
When considering a bag with different colored marbles and drawing without replacement, the probability changes after each draw because the composition of the bag changes. The probability of drawing two specific colors in sequence requires multiplying the probability of drawing the first color with the probability of drawing the second color after the first has been removed.
Example 3
In scenarios where marbles are replaced after drawing, like with James and the blue and white marbles, the probability remains the same for each draw because the composition of the bag does not change.
Example 4
The multinomial distribution is used when we want to find the probability of a combination of outcomes happening over a series of events, such as drawing different color marbles a certain number of times with replacement.
Using the data from the table, what is P(3)?
Answer:
0.2
Step-by-step explanation:
Answer:
Using the data from the table, what is P(3)?
Answer: 0.2
What is the mean of the probability distribution?
Answer: 2.0
Step-by-step explanation:
There are 28.35 g in an ounce and 2.21 lb in a kilogram. Juanita converts 3 kilograms to ounces. Is her conversion correct? Explain.
Answer:
3 kg = 105.82 ounces
Step-by-step explanation:
We have,
1 ounce = 28.35 g
and
1 kg = 2.21 lb
If we want to the value of 3 kg to ounces. The direct relation between kilogram to ounce is as follows :
1 kg = 35.274 ounces
It means,
3 kg = 105.82 ounces
So, the value of 3 kg is equal to 105.82 ounces.
Answer:
“Although she set up the conversion correctly, she is not correct. She must have made an error when multiplying and dividing”
Step-by-step explanation:
Edge <3
The Reliable Car dealership sells cars and trucks. The cars and trucks
come in red, white, and silver. Damon made this table to show the cars
and trucks that are on the lot today.
Red White Silver
Car
45
41
46
Truck
21
24
23
What is the experimental probability that the next vehicle that comes
on the lot will be a red car?
the probability is
The experimental probability that the next vehicle that comes on the lot will be a red car is 22.5%.
The question is asking for the experimental probability that the next vehicle that comes on the lot will be a red car. To find this, we need to divide the number of red cars by the total number of vehicles on the lot. From Damon's table, we see that there are 45 red cars on the lot. The total number of cars and trucks is calculated by adding all the numbers in the table: 45 (red cars) + 41 (white cars) + 46 (silver cars) + 21 (red trucks) + 24 (white trucks) + 23 (silver trucks) = 200 vehicles in total.
To find the experimental probability, we divide the number of red cars by the total number of vehicles:
Experimental Probability = Number of Red Cars / Total Number of Vehicles
Experimental Probability = 45 / 200
This simplifies to:
Experimental Probability = 0.225 or 22.5%
Therefore, the experimental probability that the next vehicle that comes on the lot will be a red car is 22.5%.
6x - 8y - 5x + 3y so please tell me the answer.
thanks
Answer:
x - 5y
Step-by-step explanation:
Let's solve your question together,
6x - 8y - 5x + 3y
first arrange them according to their variable.
6x - 5x - 8y + 3y
Now, solve
x - 5y
Hope this helps :)
It says it in the image please help me
Answer:
The answer you have selected should be correct.
what’s the difference between 100ft and 50ft?
Answer:
50ft
Step-by-step explanation:
Marcia performs an experiment in which she pulls a marble from a bag. In her
experiment, she finds that she is twice as likely to pull a red marble as a blue
marble. If Marcia pulls 10 red marbles, how many blue marbles does she pull?
Answer:
She pulls 5 blue marbles
Step-by-step explanation:
Let x be the number of blue marbles
We are given that In her experiment, she finds that she is twice as likely to pull a red marble as a blue marble.
So, Number of red marbles = 2x
We are given that Marcia pulls 10 red marbles
So, [tex]2x = 10[/tex]
[tex]x =\frac{10}{2}[/tex]
x=5
Hence She pulls 5 blue marbles
Coach Walker’s cheerleading team needs to raise money to pay for the entry fees to the state competition. There is a $99 team fee plus an individual fee for each cheerleader. Coach Walker found that the individual fees for her 18 cheerleaders will cost a total of $818.82. Which inequality can be used to find m, the least amount of money each cheerleader needs to raise in order to pay for both the team and individual entry fees?
Final answer:
The inequality to determine the minimum amount each cheerleader needs to raise to cover the team fee and individual entry fees is m >= $50.99. This is calculated by dividing the team fee of $99 and the total individual fees of $818.82 by 18 cheerleaders, and summing those amounts.
Explanation:
The question asks to find an inequality to determine the minimum amount of money, m, each cheerleader needs to raise to cover both the team fee and individual fees. Coach Walker's cheerleading team has a total team fee of $99 and individual fees amounting to $818.82 for 18 cheerleaders.
To find the equation that expresses the total cost, we start with the total individual fee for the cheerleaders, which is $818.82. This fee needs to be divided among the 18 cheerleaders, and when added to the team fee that is split equally, it gives the amount each cheerleader should raise.
The inequality should ensure that the total amount raised by each cheerleader, m, is enough to cover both their share of the team fee and their individual fee. The equation for the team fee per cheerleader is $99 divided by 18. We can add the individual fee of $818.82 divided by 18 to this amount to find the minimum amount each cheerleader should raise.
Setting up the Inequality
First, calculate the per person cost for the team fee: $99 / 18 = $5.50 per cheerleader.
Second, calculate the per person individual fee cost: $818.82 / 18 = $45.49 per cheerleader.
Now, we add both of these to find the total minimum amount each cheerleader should raise: $5.50 (team fee per cheerleader) + $45.49 (individual fee per cheerleader) = $50.99.
The inequality that represents the minimum amount each cheerleader needs to raise is:
m >= $50.99
This inequality ensures that each cheerleader raises at least enough to cover their portion of the fees.
PLEASE HELP ASAP BRAINLIST AND 15 points
The table below shows the values of f(x) and G(x) for different values of X one of the functions is a quadratic function and the other is an exponential function which function is most likely increasing quadratically
Answer:
it is B i hoped i helped`
As per the given table of values, we have identified that the function that is most likely increasing quadratically is f(x).
Let's examine the given values in the table:
x f(x) g(x)
1 3 3
2 6 9
3 9 27
4 12 81
5 15 243
For a quadratic function, the differences between consecutive values of f(x) should increase by a constant amount. Let's calculate the differences between consecutive f(x) values:
x f(x) Difference (∆f(x))
1 3
2 6 6 - 3 = 3
3 9 9 - 6 = 3
4 12 12 - 9 = 3
5 15 15 - 12 = 3
The differences (∆f(x)) between consecutive f(x) values are constant and equal to 3. This indicates that the function f(x) is increasing quadratically.
Now, let's examine the differences between consecutive g(x) values:
x g(x) Difference (∆g(x))
1 3
2 9 9 - 3 = 6
3 27 27 - 9 = 18
4 81 81 - 27 = 54
5 243 243 - 81 = 162
The differences (∆g(x)) between consecutive g(x) values are not constant; they are increasing exponentially. This suggests that the function g(x) is increasing exponentially.
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Which decimal is equivalent to 8.11 ? A. 0.72 B. 0.72 C. 0.88 D. 0.88
Answer:A
Step-by-step explanation:
1114.666666666 rounded to the nearest hundred
Answer:
1,114.67
Step-by-step explanation:
Answer:
1114.67
Step-by-step explanation:
Just yeah... It's right..
Joe drew 32 pictures in his sketch book. He drew four times as many pictures as Kevin. How many pictures did Kevin draw?
Answer:
8
Step-by-step explanation:
Brandy is putting an 8 foot diameter circular floeer garden in his yard he will put plastic edging along the flowerbed how many feet of edging will brady need to enclose his flower garden, how man square feet are in bradys garden
Answer:
Brady will need 25.12ft of edging
There are 50.24ft² in bradys garden
Step-by-step explanation:
radius = half of diameter
r = 8ft /2 = 4ft
To solve this problem we need to use the circumferenc formula of a circle:
c = circumference
r = radius = 4ft
π = 3.14
c = 2π * r
we replace with the known values
c = 2 * 3.14 * 4ft
c = 25.12ft
Brady will need 25.12ft of edging
To solve the second part of the problem we need to use the area formula of a circle:
a = area
r = radius = 4ft
π = 3.14
a = π * r²
we replace with the known values
a = 3.14 * (4ft)²
a = 3.14 * 16ft²
a = 50.24ft²
The area of the circle is 50.24ft²
Prices were recorded for all the loaves of bread in a supermarket, the mean price for a loaf of bread was $1.37 with a standard deviation of $0.67, Find the probability that if 13 loaves are selected the mean price is less than $1.00.
A 0.0032
B 0.5643
C 0.9105
D 0.0233
Answer:
[tex] z = \frac{1-1.37}{\frac{0.67}{\sqrt{13}}} = -1.991[/tex]
And we want this probability:
[tex] P(z<-1.991)[/tex]
And using the normal standard distribution or excel we got:
[tex] P(z<-1.991)= 0.0233[/tex]
And the best option would be:
D 0.0233
Step-by-step explanation:
For this case we have the following parameters:
[tex] \mu = 1.37, \sigma =0.67[/tex]
And we select a sample size of n=13. And we want to find this probability:
[tex] P(\bar X <1)[/tex]
We can assume that the distribution for this case is normal and then we can use the z score formula given by:
[tex] z= \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
And if we replace the data given we got:
[tex] z = \frac{1-1.37}{\frac{0.67}{\sqrt{13}}} = -1.991[/tex]
And we want this probability:
[tex] P(z<-1.991)[/tex]
And using the normal standard distribution or excel we got:
[tex] P(z<-1.991)= 0.0233[/tex]
And the best option would be:
D 0.0233
On October 1, Bandor Company sold land (that cost $30,000) on credit for $35,000. The buyer issued an 8%, 12-month note for this amount, with the interest to be paid on the maturity date.
Answer:
Check the explanation
Step-by-step explanation:
Journal entries are as follows:-
Date Account Titles Debit Credit
Oct-01. 8% Note Receivable $35,000.00
Land $30,000.00
Gain on sale $5,000.00
(Sale of Land)
Dec-31 Interest Receivable $700.00
Interest Revenue $700.00
(Interest revenue on Note for 3 mon. recognized)
($35,000 * 8% *3/12 = $700)
Objective: Students develop expressions involving addition and subtraction from real-world problems. Students evaluate these expressions for given values. Directions: Please answer the following prompt in the discussion. Feel free to respond to one peer after your initial response. How are addition and subtraction expressions related to one another? giving 5 stars, 5 points, and brainliest. due by thursday night. ty!
Answer: I will try my best to help, just let me know if this is wrong.
Step-by-step explanation: Subtraction and Addition are related to one another in the way that they both change the initial value of a particular number, by acting upon it with another number. Subtracting something and Adding something both end in the overall decrease or increase (change in value) of a number. Sorry if this didn't help, but if its due tomorrow I at least wanna try.
What’s 637/1000 simplified ????
HURRY!!!
Answer:
You can't simplify it. 637 over 1000 simplified is 637/1000, unless you can put a decimal?
Step-by-step explanation:
Garbage the amount of garbage that the average american adds to a landfill daily is 4.6 pounds. If at least 2.5 pounds of a person's daily garbage could be recycled, how much will still go into a landfill
Answer:
2.1 pounds
Hope this helps!
(Please mark brainliest)
The amount of garbage left of landfill is 2.1 pounds.
Given that, the average American adds to a landfill daily is 4.6 pounds.
What is the difference of two decimal numbers?Subtracting decimals:
1. Write down the two numbers, one under the other, with the decimal points lined up.
2. Add zeros so the numbers have the same length.
3. Then subtract normally, remembering to put the decimal point in the answer.
Amount of garbage left on landfill
= 4.6-2.5
= 2.1 pounds
Therefore, the amount of garbage left of landfill is 2.1 pounds.
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40 points and will mark brainliest
Answer:
OK, well, I believe that the answer is 3 5/8.
And for the equation, try 3 + 3/8 + 2/8
Hope this was helpful :)
STAY SAFE!! :D