Answer:
23.75y+25
Step-by-step explanation:
multiply everything turn the fraction into a decimal add them together add the 5y at the end
help me solve this please
Answer:
Center : (-2, 7)
Radius : 6
Step-by-step explanation:
If you use desmos (graphing website), you're able to plug in the the equation to find the radius and center.
a rectangle is inscribed in a right isosceles triangle with a hypotenuse of length . what is the largest area the rectangle can have?
The largest area of the rectangle is 2 square units.
We have a right angled isosceles triangle with hypotenuse 4 units.
so its base will be equal to the perpendicular , let it be B
So we know ,
B² + P² = H²
2B² = H²
B² = 16/2
B = 2√2
So base is equal to perpendicular = 2√2 units
Now let consider a rectangle inside the triangle with length 2x and the width y , and the area will become
A = 2xy ....(1)
we see from the figure the length of the perpendicular AD drawn on the hypotenuse is
BD² + AD² = AB²
AD² = AB² - BD²
= 8 - 4
AD² = 4
AD = 2 units
Now we see triangle ABD and AEG are similar to each other , So
AD/BD = AG/GE
2/2 = 2-y/x
therefore
x = 2-y
put this value in eqn (1)
A = 2(2-y)y
A = 4y - 2y²
Now to maximize the area we take the derivative of the equation and then put it equal to zero
∴ 4 - 4y = 0
y = 1
∴ x = 2-y = 2-1 = 1 units
So area will be maximum when length and width are 1 units each.
therefore , largest area (A) of the rectangle is = 2xy = 2 square units.
Learn more about Area maximization here :
https://brainly.com/question/28821169
#SPJ4
helppppp nowww asappp pretty please? no guessing,
Answer: n<11
Step-by-step explanation:
Since the circle is not filled in and the direction of the arrow is left, the inequality is n<11
How many million bacteria were in the dish at 11 am
Answer:
im believing 57
Step-by-step explanation:
please mark this answer as brainliest
Answer:
1/2
Step-by-step explanation:
A square prism has a height of 16 centimeters and a volume of 784 cubic centimeters. What is the length in centimeters of each side of the square base
Answer:
7cm
Step-by-step explanation:
Volume of a prism = base area x height
base area = area of a square = length²
784 = length² x 16
divide both sides of the equation by 16
length² = 784/16
length² = 49
find the square root of both sides
length = 7
Please help!!!! I’ll give brainliest!
Brent will build a fence around a rectangular 30-foot-by-25 foot play area. Given the fencing costs $4.05 per foot, how much will the fencing cost for brent to completely surround the play area?
Answer:
$445.5 = total cost
Step-by-step explanation:
Perimeter = 2l + 2w
Perrimeter = 2(30ft) + 2(25ft)
Perimeter = 60ft + 50ft
Perimeter = 110ft
$4.05 • 110ft = total cost
$445.5 = total cost
Someone help please!!
a researcher asks a representative sample of baby boomers how much alcohol they consumed during their college years and includes on the survey form a space for them to write in the actual number of drinks they consumed. one month later, the researcher administers the same questionnaire to the same respondents, and morethan half the respondents report consuming much less alcohol during their college years than they reported just a month earlier. what is the problem with this measure?
The problem with this measure is that it suffers from recall bias.
The measure used in the survey is problematic because of recall bias. This is when people's memories of past events are influenced by their current knowledge, opinions, or beliefs. In this case, the respondents may have reported consuming different amounts of alcohol in college in the two surveys due to changes in their attitudes or social pressures, which can affect their recollection. Therefore, the results of this survey may not be accurate and should be approached with caution when interpreting.
You can learn more about recall bias at
https://brainly.com/question/29362937
#SPJ4
If f(x) = 0, what is x?
Answer:
0
Step-by-step explanation:
Your welcome
4,914÷7=
4
,
914
÷
7
=
i need help asap! T_T
Answer:
32
Step-by-step explanation:
its 32
PLEASE ANSWER I NEED THIS FOR A UNIT TEST AND I DON'T WANT TO FAIL
we will have to follow given below steps if we want to plot this inequality x is less than or equal to 2.6.
What is linear inequality and examples?A linear inequality is formed by any two real numbers or any two algebraic expressions marked by the symbols "," ">," "," or "." Ones of numerical inequality include 911 and 18>17, while algebraic examples include x+7>y, y10-x, and x y > 11
How do you identify a linear inequality?One of the inequality symbols is present in a linear inequality:. It displays non-equal data in graph style. With the inequality sign in place of the equality sign, a linear inequality appears exactly like a linear equation.
The values of x that satisfy the inequality must be determined before we may graph the inequality x = 2.6 on a number line. This can be done by changing x to a variety of values and observing which ones cause the inequality to hold true. When x is less than or equal to 2.6, we know that the inequality x = 2.6 is true. This means that the inequality will be satisfied for any value of x that is lower than or equal to 2.6. This has a range of inclusive values from -infinity to 2.6. We can use a dotted line spanning from negative infinity to 2.6 to graph the inequality on a number line. We would insert a dot for each number between negative infinity and 2.6, including 2.6 itself, since the dots on the line denote the numbers in the range. The dots on the line represent the integers in the range, which spans from negative infinity to 2.6. (i.e., all numbers less than or equal to 2.6). The open circle at 3 shows that the number is outside of the range, while the solid point at 2.6 indicates that the number is within the range.
To learn more about linear inequalities visit:
https://brainly.com/question/19526736
#SPJ1
Car Rollovers In a recent year in the United States, 83,600 passenger cars rolled over when they crashed, and 5,127,400 passenger cars did not roll over when they crashed. Find the probability that a randomly selected passenger car crash results in a rollover. Is it unlikely for a car to roll over in a crash?
The probability of a car rolling over in a crash is approximately 0.016, or 1.6%, indicating that it is unlikely for a car to roll over in a crash.
We have,
To find the probability that a randomly selected passenger car crash results in a rollover, we divide the number of rollovers by the total number of crashes:
Probability of a rollover = Number of rollovers / Total number of crashes
Probability of a rollover = 83,600 / (83,600 + 5,127,400) ≈ 0.016
The probability of a rollover is approximately 0.016, or 1.6%.
Since the probability is relatively low, it can be considered unlikely for a car to roll over in a crash.
Thus,
The probability of a car rolling over in a crash is approximately 0.016, or 1.6%, indicating that it is unlikely for a car to roll over in a crash.
Learn more about probability here:
https://brainly.com/question/14099682
#SPJ4
A store 7% sales tax.which expression can be used to find the total cost of an item with a price of p?
1.07
Step-by-step explanation:
Below. Lets say 1 is 100 dollars sale tax. If 1 is 100 7 would be 7.00
Find the equation of a line that passes through the point (3,4) and has a gradient of 1/3. Leave your answer in the form y=mx+c
A b = 8x - 7 BC = 6X + 7 what is AC
Answer:
a
Step-by-step explanation: codigo binario
Find the commission. Earning Commission $680 3% ?
Step-by-step explanation:
if I understand this correctly, then we need to find how much 3% of $680 are.
100% = $680
1% = 100%/100 = 680/100 = $6.80
3% = 1%×3 = $6.80×3 = $20.40
A baker needs 15 lb of cream cheese that contains 20% fat to fill a big order. But his supplier delivers one cream cheese that contains 10% fat, and another that contains 35% fat. How many pounds of each should the baker combine to fill the order?
Answer:
6 2/3 lbs of each
Step-by-step explanation:
.10x + .35x = 15(.20)
.45x = 3
x = 3/4.5
x = 6.67
Answer:
Step-by-step explanation:
[.1x+.35(15-x)]/15=.2
.1x+5.25-.35x=3
-.25x+5.25=3
-.25x=-2.25
x=9
So he will use 9lbs of 10% and 6lbs of 35%.
I need help on this question
Answer:
x=32
Step-by-step explanation:
Answer:
x= 32
Step-by-step explanation:
Remember all triangles sum up to 180 degrees.
Equation= 98+50+x=180
Step 1- Add to simplify
148+x= 180
Step 2- Subtract 148 to both sides.
148+x= 180
-148 148
x= 32
What are personal assets?
Personal assets are the list of things which are owned by any person for the present or the future use such as house , saving accounts, Cash etc.
Personal assets the list of things all of which are owned by any personal or a family for the present or the future use.When an individual want to take loan of any purpose then bank give the loan by considering the present value of the personal assets.It represent the total property and cash owned by any individual for the present or the future use.Example of personal assets are : house, any other property , cash, certificate representing some value, jewelry, any vehicle etc.Therefore, the personal assets represent the valuable items owned by any individual for present or the future use.
Learn more about personal assets here
brainly.com/question/28790497
#SPJ4
find the critical numbers, the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema. do not graph. [3:35 pm] f(x) = x^2/ x-8
Given: f(x) = x^2/ x-8We need to find the critical numbers, the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema. .Critical numbers: `x = 0, x = 16`Intervals of increasing: `(-∞, 0)`, `(8, ∞)`Intervals of decreasing: `(0, 8)`Local minima: `(0, 0)`Local maxima: `(16, 32)`
To find the critical numbers, the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema, we need to follow the steps below.Step 1: Find the derivative of f(x) using the quotient rule of differentiation.`f(x) = x^2/(x - 8)`Differentiating both the numerator and denominator we get: `f'(x) = [2x(x - 8) - x^2]/(x - 8)^2 = [-x^2 + 16x]/(x - 8)^2`Step 2: Find the critical numbers by setting `f'(x) = 0` and solving for x.`[-x^2 + 16x]/(x - 8)^2 = 0`We can see that the numerator will be zero when `x = 0 or x = 16`.But, since `(x - 8)^2 ≠ 0` for any real number x, we can ignore the denominator and we get two critical numbers: `x = 0` and `x = 16`.Step 3: Determine the intervals of increasing and decreasing of `f(x)` using the first derivative test.If `f'(x) > 0`, then `f(x)` is increasing.If `f'(x) < 0`, then `f(x)` is decreasing.If `f'(x) = 0`, then there is a local extrema at that point.The critical numbers divide the number line into three intervals: `(-∞, 0)`, `(0, 8)` and `(8, ∞)`.For `x < 0`, we can choose a test value of `-1` to get `f'(-1) > 0`, so `f(x)` is increasing on `(-∞, 0)`.For `0 < x < 8`, we can choose a test value of `1` to get `f'(1) < 0`, so `f(x)` is decreasing on `(0, 8)`.For `x > 8`, we can choose a test value of `9` to get `f'(9) > 0`, so `f(x)` is increasing on `(8, ∞)`.Step 4: Find the local extrema by finding the y-coordinate of each critical number.We need to substitute each critical number into the original function to find the y-coordinate.`f(0) = 0^2/(0 - 8) = 0``f(16) = 16^2/(16 - 8) = 256/8 = 32`Therefore, `f(x)` has a local minimum at `x = 0` and a local maximum at `x = 16`.
We have found the critical numbers, the intervals on which `f(x)` is increasing, the intervals on which `f(x)` is decreasing, and the local extrema of the function `f(x) = x^2/(x - 8)`.
To know more about local extrema :
brainly.com/question/28782471
#SPJ11
alice ate 5 cookies and 2 carrots for a total of 590 calories; bob ate 3 cookies and 4 carrots for a total of 410 calories. how many calories are in one cookie?
Since, Alice ate 5 cookies and 2 carrots for a total of 590 calories; bob ate 3 cookies and 4 carrots for a total of 410 calories. Therefore, In a cookie there are 110 calories.
A calorie is a unit of energy that food and drink provide. we can usually find out how many calories are listed in foods, and wearables like the best fitness trackers let you monitor how many calories you're burning in different activities. Certain foods, such as processed foods, tend to be high in calories. Other foods, such as fresh fruits and vegetables, tend to be low in calories. there is not. Calories are needed to give you enough energy to move, keep warm, grow, work, think, and play. Our circulation and digestion also need to work well with the energy we get from calories.
Let x = calories in cookies.
y = calories in carrots.
Now, according to the question:
5x + 2y = 590 --------------------------------------- (1)
3x + 4y = 410 -------------------------------------- (2)
Multiplying equation(1) by 3 and equation(2) by 5:
15x + 6y = 1770 ---------------------------(3)
15x + 20y = 2050 ---------------------------(4)
Solving we get:
y = 280/14
or, y = 20 units.
Putting the value of y = 20 in equation (2)
3x + 4y = 410
⇒ 3x + 4 × 20 = 410
⇒ 3x = 410 - 80
⇒ x = 330/3
⇒ x = 110 Units
Therefore, the calories of cookies is 110 units .
Learn more about Calories:
https://brainly.com/question/17078881
#SPJ4
What is 275 = 5 (1 - 6k)
Answer:k=-9
Step-by-step explanation:
275=5(1-6k)
55=1-6k
54=-6k
-9=k
An account earns simple annual interest. $925 at 2.3% for 2.4 years. Find the balance of the account.
The balance of the account after 2.4 years is 975.22.
To find the balance of the account, we need to calculate the interest earned over 2.4 years and add it to the initial principal of 925.
The formula for simple interest is:
I = P × r × t
where:
I = interest earned
P = principal (initial amount of money)
r = annual interest rate (as a decimal)
t = time (in years)
Plugging in the values given in the problem, we get:
I = 925 × 0.023 × 2.4
I = 50.22
Therefore, the interest earned over 2.4 years is 50.22.
To find the balance of the account, we need to add the interest earned to the initial principal:
Balance = Principal + Interest
Balance = 925 + 50.22
Balance = 975.22
for such more question on simple interest
https://brainly.com/question/1173061
#SPJ11
A teacher Buys tickets for each of my students to visit a museum each student and $6.50 and she spent a total of $182 how many students tickets did you buy
Answer:
The ticket is bought for 28 students.
Step-by-step explanation:
It is given that the teacher is going to buy museum ticket for each students.
Total money spent = $182
Price of each ticket = $6.50
Let total number of tickets bought = \(x\)
We know that to find the total amount of money spent on ticket, we can add price of each ticket (i.e. $6.50) \(x\) number of times.
OR
In other words, simply multiply the number of tickets with price of each ticket to find the total money spent.
Total money spent = \(x \times 6.50\)
We know that total money spent is $182.
\(\Rightarrow x \times 6.50 = 182\\\Rightarrow x = \dfrac{182}{6.50}\\\Rightarrow x = 28\)
The ticket is bought for 28 students
in a game of poker, what is the probability that a five-card hand will contain (b) four of a kind, and (c) a full house (three cards of one value and two cards of another value)?
(b) We have 13 possibilities that a five-card hand will contain four of a kind.
(c) We have 12 possibilities that a five-card hand will contain a full house.
What do you mean by probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.
The probability of an occurrence is a number between 0 and 1, with 1 representing certainty and 0 representing impossibility.
Since there are no other conceivable outcomes and the coin is fair, the odds of both the possibilities, "heads" and "tails," are equally likely to occur. As a result, the probability of either occurrence is half (which could also be written as 0.5)
To learn more about Probability, Visit:
https://brainly.com/question/13604758
#SPJ4
David purchased 1.5 pounds of apples that cost 3.60 per pound. If he gave the cashier a twenty dollar bill, how much change would he receive?
i need help please help me im struggling please show WORK and tell me how to do it NO links please.
-7y + 3 = -25
check your solution
Answer:
- 7y +3 =-25
-7y=-25—3
-7y=-28
-7y÷-7= -28÷-7
y=4
Step-by-step explanation:
Take +3 to the side so that your variable and a constant is on their own sides. When a number goes over the equals sign the sign changes at becomes the inverse that's why l said - 3. You now calculate - 25—3 equals 28 then divide by 7 to find y and your y is 4.
people taking part in an experiment are called variables.
Answer:
Yes, people that taking part in an experiment are called variables.
There is normally one person called the dependent variable, and the other who is the independent variable.
The statement provided "people taking part in an experiment are called variables" is incorrect.
In an experiment, the individuals or subjects who participate and are observed or manipulated are not referred to as variables. Instead, they are called participants, subjects, or sometimes, respondents, depending on the context of the study.
Variables, on the other hand, are characteristics or properties that can vary or change among the individuals or subjects in the study. Variables can be classified as independent variables, dependent variables, or control variables.
Independent variables are manipulated or controlled by the researcher, while dependent variables are the outcomes or responses that are measured or observed.
Control variables are other factors that are held constant. Therefore, it is important to differentiate between the individuals participating in the experiment and the variables being studied.
To know more about variables refer here:
https://brainly.com/question/15078630
#SPJ11
A block of cheese has a volume of 178 cm3 and a mass of 120 g.
What is the density of the cheese in g/cm3 rounded to 2 decimal places?
Answer:
375
Step-by-step explanation: