the expression are equivalent compound condition for the nested conditionals is (x > 200) and (y < 200).
ii. The equivalent compound condition for the nested conditionals is not (x > 200 and y > 200).
iii. The equivalent compound condition for the nested conditionals is not ((x ≤ 200) or (y ≥ 200)).
The equivalent compound conditions for the given nested conditionals are as follows:
i. The compound condition (x > 200) and (y < 200) is equivalent to the nested conditionals if (x > 200): if (y < 200). This is because the compound condition requires both conditions to be true for the condition to be satisfied.
ii. The compound condition not (x > 200 and y > 200) is equivalent to the nested conditionals if (x > 200): if (y < 200). This is because the compound condition requires both conditions to be false for the condition to be satisfied.
iii. The compound condition not ((x ≤ 200) or (y ≥ 200)) is equivalent to the nested conditionals if (x > 200): if (y < 200). This is because the compound condition requires both conditions to be false for the condition to be satisfied.
Learn more about expression here
https://brainly.com/question/14083225
#SPJ4
(x − 1)2 = −4 How many distinct real solutions does the given equation have? A) Exactly one B) Exactly two C) Infinitely many D) Zero
Answer:
It's exactly one
Step-by-step explanation:
You can test:
Op1:
x = -1
==> -1-1 = -2 then -2x2 = -4 (This's right)
Op2:
x = 1
==> 1-1=0 (this's wrong)
So ==> Ans is A) Exactly one
#JS1T
The given quadratic equation has exactly two solutions. Therefore, option B is the correct answer.
What is the solution of a quadratic equation?The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.
The given quadratic equation is (x-1)²= -4.
Square root on both the sides we get
√(x-1)²=√(-4)
x-1=±2i
x=±2i+1
x=2i+1 and x=-2i+1
Therefore, option B is the correct answer.
To learn more about the solution of quadratic equation visit:
https://brainly.com/question/18305483.
#SPJ2
in order to gauge student opinion on his grading procedures, the professor divides the class into two groups: undergraduate students and graduate students. he then takes random samples from each group. this is an example of
This is an example of stratified sampling.
How are samples classified?Samples may be classified as:
A convenient sample is drawn from a conveniently available pool of options.A random sample is equivalent to placing all options into a hat and taking some of them.In a systematic sample, every kth element of the sample is taken.Cluster sampling divides population into groups, called clusters, and each element of the group is surveyed.Stratified sampling also divides the population into groups. However, an equal proportion of each group is surveyed.For this problem, we have that the population was divided into groups, hence either cluster or stratified sampling was used.
As an equal proportion of each group was sampled instead of the entire group, stratified sampling was used.
More can be learned about sampling at brainly.com/question/9910540
#SPJ1
Denise has $250 in her checking account. Each time she buys a bottle of water, she spends $2. If Denise buys
x bottles of water, how much money will remain in her account?(1 نقطة)
After buying x bottles of water, the money will remain in her checking account is equals to the $(250 - 2x). So, the correct answer is option (b).
We have Denise has a checking account.
The amount on her checking account = $250
The price of each water bottle = $2
Number of boltes bought by Denise = x
Let the total remaining money after the spend by Denise on water bottles be " $y". Total cost of x bottles = number of bottles × cost of one bottle
= x× $2 = $ 2x
We have to determine the value of y. The money remaining in her account = total amount in her checking account - spends money
=> y = $ 250 - $2x
which is a two variable linear equation, when we know that how many bottles she buy, i.e., value of x then we will determine the value of y. So, the required value is $ 250 - $2x .
To learn more about linear equation, refer :
https://brainly.com/question/2030026
#SPJ4
Complete question:
Denise has $250 in her checking account. Each time she buys a bottle of water, she spends $2. If Denise buys
x bottles of water, how much money will remain in her account?
a) $ 250 + $2x
b) $ 250 - $2x
c) $250
Which graph represents the solutions to this equation?
x2 + 8x = -20
A, B, C, or D?
(See pictures attached)
Answer:
Step-by-step explanation:
The answer is Graph B.
First the equation needs to be in standard form.
x² + 8x= -20
becomes y = x² + 8x + 20
The leading coefficient is positive - a positve one is in front of the x.
So the parabola opens upward.
solve for the x coordinate of the minimun by using the formula
x = -b/2a
x = -8/2(1) = - 8/2 = -4
substitute -4 into the original equation.
y = (-4)² + 8(-4) + 20
y = 16 + -32 + 20
y = -16 + 20
y = 4
so the minimun - or bottom of the parabola is (-4, 4)
Correct choice is graph B
Please help me with this math problem!! Will give brainliest!! :D 20 POINTS!!!
a) 100%
b) 19/50 or 38%
Fred's dog has been putting on weight and the veterinarian is concerned. At the dog's most recent veterinarian appointment in September the dog weighed 45 pounds. This was a 25% increase since the dog's last veterinarian appointment that was in March. How much did Fred's dog weigh at the veterinarian appointment in March?
The weight of Fred's dog at the veterinarian appointment in March is 36 pounds.
How much did Fred's dog weigh at the veterinarian appointment in March?Fred's dog weight in September= 45 pounds
Percentage increase= 25%
Fred's dog weight in March = x
45 = x + (25% of x)
45 = x + 0.25x
45 = 1.25x
divide both sides by 1.25
x = 45/1.25
x = 36 pounds
Hence, Fred's dog weighs 36 pounds in March.
Read more on percentage:
https://brainly.com/question/843074
#SPJ1
-A student is chosen randomly from the group. What is the probability that the student ONLY takes History Class?
-A student is chosen randomly from the group. What is the probability that the student takes BOTH History and Biology?
-A student is chosen randomly from the group. What is the probability that the student does NOT take History or Biology?
-A student is chosen randomly from the group. What is the probability that the student takes Biology class?
Help me, please
To find the probability that the student ONLY takes History Class, we need to divide the number of students taking only History (37) by the total number of students (150).
What is probability?Probability is the measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. Probability can be used to analyze and make predictions about a wide range of situations, including games of chance, weather patterns, financial markets, and more.
Here,
Using the given numbers, we can calculate the probabilities as follows:
To find the probability that the student ONLY takes History Class, we need to divide the number of students taking only History (37) by the total number of students (150):
P(ONLY History) = 37/150 = 0.2467 or approximately 24.67%
To find the probability that the student takes BOTH History and Biology, we need to divide the number of students taking both (25) by the total number of students (150):
P(History AND Biology) = 25/150 = 0.1667 or approximately 16.67%
To find the probability that the student does NOT take History or Biology, we need to add the number of students taking neither History nor Biology (21) to the number of students taking only Biology (17), and then divide by the total number of students:
P(Neither History nor Biology) = (21 + 17)/150 = 0.2533 or approximately 25.33%
The complement of this event (i.e., the probability of taking either History or Biology) is:
P(History or Biology) = 1 - P(Neither History nor Biology) = 1 - 0.2533 = 0.7467 or approximately 74.67%
To find the probability that the student takes Biology class, we need to add the number of students taking both History and Biology (25) to the number of students taking only Biology (17), and then divide by the total number of students:
P(Biology) = (25 + 17)/150 = 0.2133 or approximately 21.33%
To know more about probability,
https://brainly.com/question/30034780
#SPJ1
one fair die has faces 1, 1, 2, 2, 3, 3 and another has faces 4, 4, 5, 5, 6, 6. the dice are rolled and the numbers on the top faces are added. what is the probability that the sum will be odd?
The probability that the sum of the two dice will be odd is 2/3.
The probability of getting an odd number from the sum of two fair dice can be calculated as follows:
If both dice show an odd number (1 or 3), the sum will be even.
If both dice show an even number (2 or 4), the sum will be even.
If one die shows an odd number and the other an even number, the sum will be odd.
Since each die has a 1/3 chance of showing an odd number and a 2/3 chance of showing an even number, the probability of getting an odd number is 2/3 * 1/3 + 1/3 * 2/3 = 2/3.
Therefore, the probability that the sum of the two dice will be odd is 2/3.
Learn more about probability at:https://brainly.com/question/25839839
#SPJ4
Need help ASAP will give brainilest to the CORRECT ANSWER
Answer:
First Two Options
Step-by-step explanation:
find length of segment bd round to tenths place
Answer:
BD = 2.4
Step-by-step explanation:
the answer can be easily found by using pythagoreans theorem.
BD = height (h)
3 = SqrRt ( 1.8² + h² )
3² = 1.8² + h²
9 - 1.8² = h²
5.76 = h²
h = 2.4
3. Write an exponential function for each set of points.
a. (0, 3), (1, 12), (2, 48), (3, 192), and (4, 768)
The exponential function for each set of points is y = 3 * 2ˣ,
What is the exponential function?
An exponential function is a Mathematical function in form f (x) = ax, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0. The most commonly used exponential function base is the transcendental number e, which is approximately equal to 2.71828.
The exponential function can be described as y = 3 * 2ˣ,
where,
x is the input value
and y is the output value.
This function says that for every increase in x by 1 unit, the value of y will be multiplied by 2, starting from an initial value of 3.
For example, when x = 0, y = 3 * 2⁰ = 3, and when x = 1, y = 3 * 2¹ = 12.
Hence, the exponential function for each set of points is y = 3 * 2ˣ,
To learn more about the exponential function visit,
https://brainly.com/question/12940982
#SPJ1
There are 750 calories in ten ounces of a certain ice cream. How many calories are there in three pounds?
1 pound = 16 ounces
How many ounces will you need to find the number of calories for?
There are 2880 calories in three pounds of the ice cream.
There are 750 calories in ten ounces of a certain ice cream.
Total calories=750
Number of ounces given=10
Ten ounces=750 calories1 ounce=75 caloriesFirst, we need to convert three pounds to ounces:
Since there are exactly 16 ounces in one pound, just multiply the number of pounds by 16 to make the conversion. Then answer will be in ounces.⇒1 pound=16 ounces
⇒3 pounds = 3 * 16 ounces = 48 ounces
So, we need to find the number of calories in 48 ounces of the ice cream.
Since there are 750 calories in ten ounces, then there will be
⇒[tex]750*\frac{48}{100}[/tex]750 = 2880 calories in 48 ounces.
Therefore, there are 2880 calories in three pounds of the ice cream.
For more such questions on calories & ounces
https://brainly.com/question/14059175
#SPJ4
Classify each statement about the function f(x)=2x3+8 as true or false.
The domain of the function is all real numbers.
The range of the function is (0, [infinity]).
The y-intercept is (0, 0).
The center of symmetry is (0, 8).
TRUE .The domain of the function is all real numbers.
FALSE , The range of the function is (0, [infinity]).
FALSE, The y-intercept is (0, 0).
FALSE , The center of symmetry is (0, 8).
True. The function f(x) = 2x^3 + 8 can take any real number as input and produce a real number as output.
False. The range of the function is all real numbers greater than or equal to 8, i.e., [8, [infinity]).
False. The y-intercept of the function is (0, 8), meaning that when x = 0, the output of the function is 8.
False. The function f(x) = 2x^3 + 8 does not have a center of symmetry, as it is an odd degree polynomial.
Learn more about function f(x) here :
brainly.com/question/8859279
#SPJ4
Juan wants to buy a guitar. The regular price of the guitar is $329.99. The sales price of the guitar is 25% off of the regular price. Juan most Pat 7.25% sales tax in addition to the sales price of the guitar. What is the total amount Juan must pay for the guitar?
The supplied document states that Juan must pay $265.32 in total for the instrument.
By sales, what do you mean?Any transaction in which goods or services are exchanged for cash is referred to as a sale. In other words, a transaction is any activity that involves transferring ownership of a good or service to the buyer in exchange for cash.
The instrument costs $329.99 at standard pricing.
$329 * 25% = $82.50
The guitar's discount price is thus $329.99 less $82.50, or $247.49.
7.25% of the purchase price is used to compute sales tax.
Therefore, $247.49 * 7.25% = $17.83
As a result, we eventually tack on the taxation to the purchase price to determine Juan's final obligation to pay for the guitar.
$247.49 + $17.83 = $265.32
The total price that Juan shall pay for something like the guitar is thus $265.32.
To know more about Sales visit:
https://brainly.com/question/24951536
#SPJ1
Which model shows and angle that appears to represent 45/360 of a circle
A protractor is a tool used for measuring and drawing angles. It is typically a semi-circular piece of plastic or metal with a degree scale marked along its curved edge.
The scale typically ranges from 0 to 180 degrees, which covers half a circle. To measure or draw an angle of 45 degrees, you would line up the protractor's baseline with one arm of the angle and use the degree scale to find 45 degrees. If you are drawing the angle, you would then use a straightedge to extend the other arm of the angle from the point where it intersects the 45-degree mark on the protractor.
It's important to note that the 45-degree angle represents 45/360 of a full circle, which is equal to one-eighth of a full rotation. This means that if you were to rotate the angle around its vertex, it would make one-eighth of a full circle before aligning with its original position.
To know more about angle :-
brainly.com/question/28451077
#SPJ4
Chloe has already read 50 pages of a book and reads 40 additional pages per hour. Write the equation of the line that represents the number of pages read y in x hours. Plus sign Minus sign Multiplication sign Division sign Big fraction Superscript (Ctrl+Up) Square root Root Equals sign Not equal to Less-than sign Greater-than sign Less-than or equal to Greater-than or equal to Parentheses Pi
In the given situation, the required equation will be 40x + 50 = P where P is the total pages read and x is the number of hours read.
What is an equation?A mathematical equation, such as 6 x 4 = 12 x 2, states that two amounts or values are equivalent a meaningful noun.
An equation is used when two or more factors must be considered jointly in order to understand or explain the whole situation.
So, in the question we have:
50 pages of the book already read by Chole.
He reads 40 pages every hour.
He reads for more x hours.
Then, accordingly, the equation will be:
40x + 50 = P
Where x is the number of hours read and P stands for the total pages read.
Therefore, in the given situation, the required equation will be 40x + 50 = P where P is the total pages read and x is the number of hours read.
Know more about equations here:
https://brainly.com/question/2972832
#SPJ4
In circle Q with the measure of minor arc PR= 48°, find mZPSR.
S
A
R
р P.
The proportion of minor arc ZPSR is equivalent to 48 degrees.
Given a circle Q with focus Q and minor curve PR with a proportion of 48 degrees, the objective is to find the proportion of ZPSR, the focal point that compares to the minor circular segment PR.
Since the focal point and the circular segment length of a circle are corresponding, the proportion of ZPSR can be found by partitioning the proportion of the minor curve PR by 360 degrees and afterward duplicating by the all out number of degrees all around, which is 360.
The recipe for the focal point comparing to a minor circular segment is given by:
mZPSR = (mPR/360) × 360
Subbing the given worth of mPR = 48, we get:
mZPSR = (48/360) × 360
= (1/7.5) × 360
= 48
Learn more about the minor arc at
https://brainly.com/question/1831869
#SPJ4
find the area of a triangle with height 6 1/2cm and base 3 1/4cm
Answer:
10,5625
Step-by-step explanation:
S (triangle) = 1/2 * a * h
a= 3 1/4 = 3.25
h = 6 1/2= 6.5
=> S= 10,5625
What are x and y i don't know
Answer:
Step-by-step explanation:
Perimeter of the rectangle= 42 cm
Length= x
Breadth= y
2(x+y)= 42
x+y= 42/2= 21 (Let it be the first equation)
Perimeter of the triangle= 36 cm
x+y+2y-3= 36 cm (Let it be the second equation)
Substitute equation 1 in 2.
x+y+2y-3= 36
⇒ 21+2y-3= 36
2y= 36-21+3
2y= 18
y= 18/2
y= 9
x+y= 21
x+9= 21
x= 21-9
x= 12
∴ the values of x and y are 12 and 9 respectively.
Emma wrote the expression 2(3w-6) to represent the amount of money that Juan spent. Is she correct? Explain
Yes, Emma is correct. The expression 2(3w-6) represents two times the difference of three times w and six. w can represent any amount of money, so this expression represents twice the amount of money that Juan spent.
2(3w-6) = 6w - 12
2(3w-6)
2 • (3w - 6)
2 • 3w - 2 • 6
6w - 12
The expression 2(3w-6) can be expanded by first multiplying the two together. This is done by multiplying the coefficient of 2 with each of the terms inside the parentheses. This results in 2 • 3w - 2 • 6. Next, the terms inside the parentheses can be combined. Since they are both being multiplied by 2, we can simply add the two terms together, resulting in 6w - 12. Thus, the expression 2(3w-6) can be expanded to 6w - 12.The expression 2(3w-6) represents two times the difference of three times w and six. w can represent any amount of money, so this expression represents twice the amount of money that Juan spent.
Learn more about amount here
https://brainly.com/question/8082054
#SPJ4
Keenan paid $25 for his cell
phone bill in January. If each
month's bill increases by 5%.
what is the total he will
pay that year?
Answer:
1.25
Step-by-step explanation:
To get your answer first multiply the $25 by 5% then you will get 1.25 as your answer.
Answer:
Step-by-step explanation:
It can be modeled by the equation:
y = x + 0.05x
So, Keenan pays about $398.02
Find an equation for the line that passes through the points (-2, 1) and (4, 3)
Answer: y=x/3 + 5/3
Step-by-step explanation:
Answer:
Step-by-step explanation:
To find the equation of the line that passes through the points (-2, 1) and (4, 3), we can use the point-slope form of a line.
Point-slope form of a line: y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line.
Step 1: Find the slope:
We can use the two points to find the slope:
m = (y2 - y1) / (x2 - x1) = (3 - 1) / (4 - (-2)) = 2
Step 2: Use the point-slope form:
y - 1 = 2(x - (-2))
y - 1 = 2x + 4
y = 2x + 5
The equation of the line that passes through the points (-2, 1) and (4, 3) is y = 2x + 5. This is the standard form of the line.
I want to build a rectangular garden so that the length is 45 meters more than twice the width. I have 1350 meters of fencing available. What dimensions should I make the garden?
Answer:
Step-by-step explanation:
Let's start by defining the variables for the problem. Let's say that:
w = the width of the rectangular garden (in meters)
l = the length of the rectangular garden (in meters)
We know that the length is 45 meters more than twice the width, so we can write:
l = 2w + 45
We also know that we have 1350 meters of fencing available to enclose the rectangular garden. The perimeter of the rectangular garden is equal to the sum of the lengths of all four sides. Since there are two sides of length w and two sides of length l, we can write:
Perimeter = 2w + 2l
Substituting the expression for l that we derived earlier, we get:
Perimeter = 2w + 2(2w + 45)
Perimeter = 6w + 90
We know that the perimeter of the rectangular garden is equal to 1350 meters, so we can write:
1350 = 6w + 90
Solving for w, we get:
6w = 1260
w = 210
Now that we know the value of w, we can use the expression for l that we derived earlier to find the length:
l = 2w + 45
l = 2(210) + 45
l = 465
Therefore, the dimensions of the rectangular garden should be 210 meters by 465 meters.
Suppose you know that ∠S and ∠Y are complementary and that m∠S = 3(m∠Y) − 70°. Find m∠Y.
The value the angles Y is 40° if ∠S and ∠Y are complimentary, as stated in the previous sentence.
Do you mean complimentary or complimentary?Complement or "favorable" refers to "offering a compliment." In the context of goods or services offered as a favor, it can also signify "free." The term "complementary" means to emphasize or enhance the positive aspects of that other person or object.
Angles that add up to 90 degrees are said to have complementary angles.
As a consequence, the value of factor y will be determined using the information provided:
x + y = 90°
3y - 70° + y = 90°
Collect like terms
3y + y = 90° + 70°
4y = 160°
y = 160/4
y = 40°
Angle y has a value of 40°.
To know more about Complementary visit:
https://brainly.com/question/16281260
#SPJ1
Francesca wants to
convert 1 foot to centimeters. Use what you
know about customary units to explain how she
can do this.
One foot is equal to 12 inches in the customary system.
What is customary system ?The customary system is a system of measurement used primarily in the United States, and it includes units of measurement such as inches, feet, yards, miles, ounces, pounds, and gallons, among others. The system is also known as the English system or the U.S. customary system, and it is based on historical English units of measurement.One inch is equal to 2.54 centimeters in the metric system. Therefore, to convert 1 foot to centimeters, Francesca can multiply 12 (inches in a foot) by 2.54 (centimeters in an inch) to get 30.48 centimeters.
To know more about customary system , check out :
https://brainly.com/question/8479164
#SPJ1
A car's odometer shows 12138 kilometres at the start of a journey and 12714 kilometres at the end of the journey. How far was the journey?
Answer:
Step-by-step explanation:
To find the distance traveled, we need to subtract the starting odometer reading from the ending odometer reading.
In this case:
Journey distance = 12714 km - 12138 km = 576 km
So the journey was 576 kilometers.
9. In June, Maxwell's father
comes to live in their home and
can count as Maxwell's
dependent. What steps does
Maxwell need to take next? *
Income
ТІР: Те
is
(c) ift
(b) Us
rom all of these jo
married filing joint
(a) Us
There are no steps Maxwell needs to
take
DO O
are Information o
Submit a new W-4
also
Com
home for your
Add to Step 3 so that Maxwell claims
an additional $500 for a dependent
om with
- ON:
Verbally tell the HR department at Big
City Office Furniture
Maxwell's father comes to live with him in his house, and his number of dependents has now increased.
Maxwell can count his father as his dependent if his father is not able to earn his own livelihood. Maxwell should submit a new W4 form clearly mentioning his father as his dependent.
A W4 form is used to inform employers about withholding correct federal income tax on the employee pay.
This is based on the allowances deducted for the dependents and then the income left is subject to tax.
Maxwell can claim an allowance for his father. The correct option is to Submit a new W4 form.
To know more about income tax:
https://brainly.com/question/24400585
#SPJ4
please help mybe easy????????????????????????????HELPPPP
Answer:
138
Step-by-step explanation:
720 - all the angles added up gives you the missing angle
Answer:
x = 138°
Step-by-step explanation:
the sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
here n = 6 , then
sum = 180° × (6 - 2) = 180° × 4 = 720°
sum the interior angles and equate to 720°
x + 85° + 135° + 125° + 85° + 152° = 720°
x + 582° = 720° ( subtract 582° from both sides )
x = 138°
Erik rides his motorbike 2623
2
3
miles in23
2
3
hour. What is Erik’s average speed in miles per hour? Enter the number in the box.
Erik’s average speed in miles per hour is 114. 04 miles per hour
What is average speed?Average speed can simply be defined as the total distance that is traveled by the object in a particular time range.
It is also known as a scalar quantity, that is, it has magnitude but no direction.
From the information given, we have that;
Distance = 2623 milesTime taken = 23 hoursThe formula for average speed is expressed as;
Average speed = Distance/ time
Substitute the values, we get;
Average speed = 2623/23
Divide the values, we get;
Average speed = 114. 04 miles per hour
Hence, the value is 114. 04 miles per hour
Learn about average speed on:
https://brainly.com/question/4931057
#SPJ1
ryan rides his bike for 30 minutes and travels a distance of 4 miles. how fast was he traveling? 4 miles per hour 6 miles per hour 8 miles per hour none of these choices are correct.
Ryan rides his bike for 30 minutes and travels a distance of 4 miles. He was traveling 8 miles per hours.
Ryan rides his bike for 30 minutes and travels a distance of 4 miles.
We have to determine how fast he was traveling.
Time = 30 minutes
First we convert the minutes in hours.
As we know that;
1 hour = 60 minutes.
So 1 minute = 1/60 hours
30 minutes = 30/60 hours
30 minutes = 1/2 hours
Distance = 4 miles
The formula of speed is;
Speed = Distance/Time
Speed = 4/(1/2) miles per hours
Speed = 4 × 2 miles per hours
Speed = 8 miles per hours
To learn more about formula of speed link is here
brainly.com/question/3004254
#SPJ4