Answer:
277
Step-by-step explanation:
14^2+5(14)+11=
196+70+11=
277
Start by substituting 14 in for x everywhere that x appears in the problem.
So we have (14)² + 5(14) + 11.
Remember that PEMDAS tells you to deal
with your exponents before multiplying.
So you must square the 14 to get 196.
So we have 196 + 5(14) + 11.
Now multiply 5(14) to get 70.
So we have 196 + 70 + 11.
Now we can simply add to get 277.
Javier is 66 inches tall today. His little brother is 58 inches tall. If his
brother grows at an average rate of 2 inches per year, how long will
it take him to grow as tall as Javier is today?
Answer:
It will take him 4 years to catch up to Javier
Step-by-step explanation:
58 + 2x = 66
2x = 8
x = 4
4 years
type the correct answer in the box. use numerals instead of words. if necessary use / for the fraction bar. a team of deep sea explorers is combing ocean waters in a submarine. the submarine is at an elevation of -355 2/7 feet. the explorers spot a humpback whale and dive downward an additional 92 4/7 feet. the new elevation of the submarine is feet
Answer:
447 6/7
Step-by-step explanation:
The total elevation if The submarine is at an elevation of -355 2/7 feet, the explorers spot a humpback whale and dive downward an additional 92 4/7 feet, is 447 6 / 7 feet
What is the mixed fraction?A mixed fraction is a fraction that is created by fusing a fraction with a whole number. For instance, 8 1 / 2 is a mixed fraction if 8 is a whole number and 1/2 is a fraction.
Given:
The submarine is at an elevation of -355 2/7 feet, the explorers spot a humpback whale and dive downward an additional 92 4/7 feet,
Calculate the total elevation as shown below,
Total elevation = -355 2 / 7 + (-92 4 / 7)
Total elevation = -2485 + 2 / 7 - 644 + 4 / 7
Total elevation = -2487 - 648 / 7
Total elevation = 3135 / 7
Thus, the total elevation is -447 6 / 7 feet.
To know more about mixed fractions:
https://brainly.com/question/29264210
#SPJ2
The area of the triangle below is 1/20
20
1
square centimeters. What is the length of the base? Express your answer as a fraction in simplest form.
1/6 cm
The length of the base of the right triangle is 3 / 5 centimetres .
How to find the length of a triangle?A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.
The area of the triangle below is 1/20 square centimetres. The length of the base of the triangle can be calculated as follows:
Therefore,
area of a triangle = 1 / 2 bh
where
b = base lengthh = height of the triangleTherefore,
b = 1 / 6 centimetres
area of the triangle = 1 / 20 centimetres square
Hence,
1 / 20 = 1 / 2 × 1 / 6 × b
1 / 20 = 1 / 12 × b
1 / 20 = b / 12
cross multiply
12 = 20b
divide both sides by 20
b = 12 / 20
b = 3 / 5
Therefore,
base length = 3 / 5 centimetres.
learn more on triangle here; https://brainly.com/question/23478653
#SPJ1
Solve the following equation for z
Answer: for one what equation and two what is your profile pic god dam you go a big nose
Step-by-step explanation:
Steve made $50 raking leaves and $75 mowing lawns. He gave 60% of his earnings to his mother. How much did Steve give to his mother?
Answer:
Step-by-step explanation:
75+50= 125
125*60%= 75 to his mother.
Answer:
Steve gave $75 to his mother.
Thus, Steve gave $75 to his mother.
A sweet seller has 48 Kaju burfies and 72 badam becafio. He
wants to stack them in such a way
that each stack has the
same
number and they take
the least area of the train, What
is the numbers of burfies in each stack.
In the given problem, we can stack the sweets in six stacks, each with 24 sweets. So, there will be 24 Kaju burfies in each stack.
How to Solve the Problem?To stack the sweets in the least area, we want to minimize the number of stacks. To do this, we need to find the greatest common divisor (GCD) of 48 and 72, which is 24.
Therefore, we need to stack the sweets in groups of 24.
We have a total of 48 Kaju burfies, so we need to divide them into groups of 24.
48 / 24 = 2
So, we can stack the Kaju burfies in two stacks of 24 each.
We also have 72 badam becafio, which we need to stack in groups of 24.
72 / 24 = 3
So, we can stack the badam becafio in three stacks of 24 each.
Thus, we can stack the sweets in six stacks, each with 24 sweets.
So, there will be 24 Kaju burfies in each stack.
Learn more about greatest common divisor here: https://brainly.com/question/29399179
#SPJ1
In the given problem, we can stack the sweets in six stacks, each with 24 sweets. So, there will be 24 Kaju burfies in each stack.
How to Solve the Problem?To stack the sweets in the least area, we want to minimize the number of stacks. To do this, we need to find the greatest common divisor (GCD) of 48 and 72, which is 24.
Therefore, we need to stack the sweets in groups of 24.
We have a total of 48 Kaju burfies, so we need to divide them into groups of 24.
48 / 24 = 2
So, we can stack the Kaju burfies in two stacks of 24 each.
We also have 72 badam becafio, which we need to stack in groups of 24.
72 / 24 = 3
So, we can stack the badam becafio in three stacks of 24 each.
Thus, we can stack the sweets in six stacks, each with 24 sweets.
So, there will be 24 Kaju burfies in each stack.
Learn more about greatest common divisor here: https://brainly.com/question/29399179
#SPJ1
Breadth of a rectangle i 5cm le than length. If breadth of the rectangle i 13cm ,find the area
Answer: The area = 234 \(cm^{2}\)
Step-by-step explanation:
Breadth = 13cm
Length = Breadth + 5cm = 13cm + 5cm = 18cm
Area = Length x Breadth
Area = 13 x 18 = 234\(cm^{2}\)
Answer:
The area of the rectangle is 234 cm²Step-by-step explanation:
Here, the breadth is 5 cm less than the length of the rectangle.
Let, the length = x cm
So, the breadth = (x-5) cm
given,
x - 5 = 13
or, x = 18 cm
so the length = 18 cm
Area = length × breadth
= 18 × 13
= 234 cm²
Therefore, The area of the rectangle = 234 cm²
Two carts selling coconut milk (from the coconut) are located at 0 and 1, 1 mile apart on the beach in Rio de Janeiro. (They are the only two coconut EXERCISES 153 milk carts on the beach.) The carts—Cart 0 and Cart I-charge prices p, and Pu, respectively, for each coconut. Their customers are the beach goers uni- formly distributed along the beach between 0 and 1. Each beach goer will purchase one coconut milk in the course of her day at the beach and, in ad- dition to the price, each will incur a transport cost of 0.5 times d, where dis the distance (in miles) from her beach blanket to the coconut cart. In this system, Cart 0 sells to all of the beach goers located between 0 and x, and Cart 1 sells to all of the beach goers located between x and 1, where x is the location of the beach goer who pays the same total price if she goes to 0 or 1. Location x is then defined by the expression P+0.5x* = P +0.5(1 - x). The two carts will set their prices to maximize their bottom-line profit fig- ures, B; profits are determined by revenue (the cart's price times its number of customers) and cost (the carts each incur a cost of $0.25 per coconut times the number of coconuts sold). (a) Determine the expression for the number of customers served at each cart. (Recall that Cart 0 gets the customers between 0 and X, or just x, while Cart 1 gets the customers between x and 1, or 1-x.) (b) Write out profit functions for the two carts and find the two best- response rules for their prices. (c) Graph the best response rules, and then calculate (and show on your graph) the Nash equilibrium price level for coconuts on the beach
(a) Number of customers served by Cart 0 = x
Number of customers served by Cart 1 = 1 - x
(b) Cart 0 = 0
Cart 1 = 0
(c) To graph the best-response rules, we can plot the prices on the x-axis and the corresponding profits on the y-axis for each cart.
(a) The number of customers served at each cart can be determined by considering the range of beachgoers each cart caters to based on their location.
Cart 0 serves customers located between 0 and x.
Cart 1 serves customers located between x and 1.
Since beachgoers are uniformly distributed along the beach, the number of customers served at each cart can be calculated as a proportion of the total number of beachgoers.
Number of customers served by Cart 0 = x
Number of customers served by Cart 1 = 1 - x
(b) The profit function for each cart can be expressed as follows:
Profit for Cart 0 = (Price for Cart 0 * Number of customers served by Cart 0) - (Cost per coconut * Number of coconuts sold by Cart 0)
Profit for Cart 1 = (Price for Cart 1 * Number of customers served by Cart 1) - (Cost per coconut * Number of coconuts sold by Cart 1)
The best-response rules for their prices can be derived by maximizing the profit functions. To find the optimal prices, we differentiate the profit functions with respect to the prices and set the derivatives equal to zero.
For Cart 0:
d(Profit for Cart 0) / d(Price for Cart 0) = Number of customers served by Cart 0 - Cost per coconut * Number of coconuts sold by Cart 0 = 0
For Cart 1:
d(Profit for Cart 1) / d(Price for Cart 1) = Number of customers served by Cart 1 - Cost per coconut * Number of coconuts sold by Cart 1 = 0
Solving these equations will give the best-response rules for the prices of the carts.
(c) To graph the best-response rules, we can plot the prices on the x-axis and the corresponding profits on the y-axis for each cart. The Nash equilibrium price level for coconuts on the beach will be the point where the best-response functions intersect.
learn more about profits on
https://brainly.com/question/32381738
#SPJ11
straight line graphs: find the equation of the lines shown
Answer:
1. y = -2n + 9
2. y = (1/2)x + 1/2
Step-by-step explanation:
1.
The equation of a line is denoted by y = mx + b, where m is the slope and b is the y-intercept.
Slope is calculated by taking two coordinates and dividing the difference of the y-coordinates by the difference of the x-coordinates. The y-intercept is where the line intersects the y-axis.
Let's choose any two points on the line: (4, 1) and (3, 3). Then:
slope = m = (3 - 1) / (3 - 4) = 2 / (-1) = -2
Now, we can also see that at the point (0, 9), the line intersects the y-axis, so that means b = 9.
The equation is thus y = -2n + 9.
2.
Let's again choose any two points to find the slope: (1, 1) and (3, 2). Then:
slope = m = (2 - 1) / (3 - 1) = 1/2
We can see that the line crosses the y-axis at the point (0, 1/2), so that means b = 1/2.
The equation is thus y = (1/2)x + 1/2.
~ an aesthetics lover
Answer:
1. y = -2x + 9
2. y = (1/2)x + 1/2
Step-by-step explanation:
There was a mistake on the last one so I would like to correct it it is
y= -2x+9
The other one said -2n its -2x
what is the slope of the line y = - 5/4x - 5 ?
Answer:
-5/4
Step-by-step explanation:
Slope is rise over run which means that the -5 will apply to your y values and the 4 will apply to your x values. This slope would have a point move down 5 units and to the right 4 units to get the location of the next point when going left to right. Because the slope contains a negative, the slope will be angled downward left to right. The negative only applies to the 5.
Hello, I hope you are having a splendid day. :)
The slope of this line is -5/4.
This equation is written in slope-intercept form, which looks like this:
y=mx+b
Where
m is the slope and b is the y-intercept.
So the slope is the number before x (in y=mx+b form).
The number before x is -5/4.
Therefore, -5/4 is the slope. Hope it helps. Ask me if you have any queries.
~An emotional teen who helps others with joy
Good luck.
1. How many Grade 10C students should join so that they can fill the quota? (Show your computation).
HELP ⚠⚠⚠ MARKING BRAINLIEST, IF UR CONFUSED, I NEED HELP WITH QUESTION 9 BUT QUESTION 8 IS RELATED TO IT ⚠⚠⚠
Answer:
John has a sheet of paper that is 8 feet long. He cuts the length of paper into eighths, and then cuts the length of each of these \(\frac{1}{8}\) pieces into fourths. How many pieces does he have? How many inches long is each piece?
Step-by-step explanation:
what the answer for order of operations 50+50-25x0+2+2 ?
Erik rides his motorbike 26/23 miles in 23 hour. What is Erik’s average speed in miles per hour?
Answer:
Average speed = 40 mph.
Step-by-step explanation:
what two numbers have a sum of “138” and a difference of “54”
To find two numbers that have a sum of 138 and a difference of 54, we can use a system of equations.
Let x be the larger number and y be the smaller number. Then we have:
x + y = 138 (equation 1)
x - y = 54 (equation 2)
We can solve this system of equations by adding equation 1 and equation 2:
2x = 192
Dividing both sides by 2, we get:
x = 96
Substituting x = 96 into equation 1, we get:
96 + y = 138
Subtracting 96 from both sides, we get:
y = 42
Therefore, the two numbers that have a sum of 138 and a difference of 54 are 96 and 42.
Question 6 of 10
The function a(b) relates the area of a trapezoid with a given height of 12 and
one base length of 9 with the length of its other base.
It takes as input the other base value, and returns as output the area of the
trapezoid.
a(b)=12.b+9
2
Which equation below represents the inverse function b(a), which takes the
trapezoid's area as input and returns as output the length of the other base?
OA. b(a)=2-9
6
OB. b(a)=+9
6
O C. b(a)=8-6
O
D. b(a)= +6
Answer:96
Step-by-step explanation:
uwu yay
The required equation represents the inverse function b(a), which takes the trapezoid's area is B(a) = a/6 - 9.
What is a trapezoid?A trapezoid is a quadrilateral having two parallel bases and one set of other sides called as legs.
We have been given that the trapezoid's base is nine and its height is twelve.
As an outcome, 'b' is the base's parallel side.
The function that represents the trapezoid's area is given by:
A(b) = [12(b + 9)]/2
Let's consider A(b) = a
Then, a = [12(b + 9)]/2
Now solving for b, we get
2a = 12(b + 9)
a = 6(b + 9)/2
a = 6b + 54
6b = a - 54
b = (a - 54)/6
b = a/6 - 9
Assuming that the length of the side parallel to the base 'b' = B(a), the equation will be:
B(a) = a/6 - 9
Thus, the correct answer would be option A. B(a) = a/6 - 9.
Learn more about the trapezoid here :
brainly.com/question/8643562
#SPJ9
The area of a rectangular outdoor stage has been extended on one side. The entire new area in square meters can be written as 216+12x. Factor the expression to find the dimensions of the extended stage.
The expression for the extended stage is (LW - 216) / (12 - W)
What is a rectangle?A rectangle is a 2-D shape with length and width.
The length and width are different.
If the length and width are not different then it is a square.
The area of a rectangle is given as:
Area = Length x width
We have,
Rectangular stage.
Length = L
Width = W
New area = 216 + 12x
Now,
Assume,
The length has been extended.
So,
The new dimensions.
Length = (L + x)
Width = W
Area = (L + x) W
Area = LW + xW ______(2)
Now,
From (1) and (2),
216 + 12x = LW + xW
Solve for x.
216 + 12x = LW + xW
12x - xW = LW - 216
x ( 12 - W ) = LW - 216
x = (LW - 216) / (12 - W)
Thus,
The expression for the extended stage is x = (LW - 216) / (12 - W)
Where L and W are the length and width.
Learn more about rectangles here:
https://brainly.com/question/15019502
#SPJ1
what expression can represent 4 more than the product of 6 and 2 1/2
Answer:
6 x 2 1/2 + 4 ??? I hope this is correct :)
Step-by-step explanation:
If its not.. I'm so sorry:(
Have a nice day! <3
You want to rent a television Company A charges $50 per week plus a one-time fee of $15. Company B charges 130 per week plus a one time fee of $55. After
how many wears are the total costs the same at the companies?
Rectangle ABCD is going to be reflected over the x-axis. Which of the following will not be one of the new coordinates? Group of answer choices (6, -6) (-6, 2) (-3, 2) (-3, 6)
Using translation concepts, it is found that the following rule is applied to each point:
(x,y) -> (x,-y).
The point that is does not result from this transformation will not be one of the new coordinates.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
When a function is reflected over the x-axis, it's output is multiplied by -1, hence the rule is given by:
(x,y) -> (x,-y).
Thus, this rule is applied to all points, which are A, B, C and D, and the point that is does not result from this transformation will not be one of the new coordinates.
More can be learned about translation concepts at https://brainly.com/question/4521517
#SPJ1
put numbers in order smallest to largest: 0.5, 0.03, 0.42, 0.3, 0.243
Answer: 0.03, 0.243, 0.3, 0.42, 0.5
Step-by-step explanation:
Hope this helps you!
Answer:
Step-by-step explanation:
0.243, 0.03, 0.3, 0.42, 0.5
Can someone help please
Answer: X= 50
Step-by-step explanation:
To be able to solve this, you must identify vertical angles, as well as a linear pair.
The angle next to the angle of 103 is in a linear pair. This means they both add up to 180.
180- 103 = 77. The angle that is next to the angle of 103 is 77.
You have two angles in a triangle. You can use the triangle sum theorem, which states that all angles of a triangle add up to 180.
180- (53+ 77)= the third angle
180- 130 = 50 (the third angle)
The third angle of the triangle is a vertical angle in relation to x. All vertical angles are equal. This means that x= 50°.
not sure how to do this. help please
Answer:
I think it's s
Step-by-step explanation:
I think it's set equation.
Find x ÷ y, if x = 3 5/6 and y = 3 3/4 .Express your answer in simplest form.
Answer:
23/30
Step-by-step explanation:
x/y
(3 5/6)/(3 3/4)
((3*6)+5/6)/((3*4)+ 3/4)
(18+5/6)/(12+3/4)
(23/6)/(15/4)
(23/6)*(4/15)
(23*3)/(6*15)
(69/90)
23/30
Answer:
1 1/45
Step-by-step explanation:
building a new home in building new homes, a contractor finds that the probability of a home buyer selecting a two-car garage is and of selecting a one-car garage is . find the probability that the buyer will select no garage. the builder does not build houses with three-car or more garages.
If the builder does not build houses with three-car or more garages, then the probability that the buyer will select no garage home is 0.1.
Probability is a measure of likelihood that a certain event occurs. The probability of an event A is defined as:
P(A) = n(A)/n(S)
Where:
n(A) = number of ways the event A can occur
n(S) = number of all possible outcomes.
Suppose there are 3 possible outcomes, A, B, C, then:
P(S) = P(A) + P(B) + P(C) = 1
In the problem, let's define the events:
A = buyer will select a one-car garage
B = buyer will select a two-car garage
C = buyer will select no car garage
We have:
P(A) = 0.2
P(B) = 0.7
Hence,
P(A) + P(B) + P(C) = 1
0.2 + 0.7 + P(C) = 1
P(C) = 1 - 0.9 = 0.1
Therefore, the probability that the customer will choose no garage option is 0.1
Your question is incomplete, most likely it was:
In building new homes, a contractor finds that the probability of a home buyer selecting a two-car garage is 0.7 and of selecting a one-car garage is 0.2. Find the probability that the buyer will select no garage. the builder does not build houses with three-car or more garages
Learn more about probability here:
https://brainly.com/question/25870256
#SPJ4
what is the morse fall scale
The Morse Fall Scale (MFS) is a standardized tool used to assess a patient's risk of falling. It is used by healthcare professionals in a variety of clinical settings, including hospitals, long-term care facilities, and home care.
The MFS was first developed in 1987 by Dr. Morse and her colleagues as a way to identify patients at high risk for falls and to implement fall prevention measures. The MFS is a quick and simple tool that assesses six different risk factors for falls. These risk factors include history of falling, secondary diagnosis, ambulatory aids, intravenous therapy, gait, and mental status. The MFS assigns points to each risk factor based on the severity of the risk, with a maximum score of 125. Patients who score higher on the MFS are considered to be at higher risk for falls and require more intensive fall prevention interventions. The MFS is useful for healthcare professionals in identifying patients at risk for falls and in developing an individualized fall prevention plan. The MFS is also useful in measuring the effectiveness of fall prevention interventions by allowing healthcare professionals to track a patient's progress over time. However, it is important to note that the MFS is only one tool in a comprehensive fall prevention program and should not be used in isolation.
In summary, the Morse Fall Scale is a standardized tool used to assess a patient's risk of falling. It is a simple and quick tool that assesses six different risk factors and assigns points based on the severity of the risk. The MFS is useful in identifying patients at risk for falls and in developing an individualized fall prevention plan.
To know more about Morse Fall Scale click here:
brainly.com/question/30437838
#SPJ4
the height of seaweed of all plants in a body of water are normally distributed with a mean of 10 cm and a standard deviation of 2 cm. which length separates the lowest 30% of the means of the plant heights in a sampling distribution of sample size 15 from the highest 70%? round your answer to the nearest hundredth. use the z-table below:
The value of seaweed height that divides the bottom 30% from the top 70% is 8.96 cm.
What is a Normal distribution in statistics?
Data in a normal distribution are symmetrically distributed and have no skew. The majority of values cluster around a central region, with values decreasing as one moves away from the center. In a normal distribution, the measures of central tendency (mean, mode, and median) are all the same.
Given data:
X: height of seaweed.
X~N (μ;σ²)
μ= 10 cm
σ= 2 cm
We have to find the value of the variable X that separates the bottom 0.30 of the distribution from the top 0.70
P(X ≤ x) = 0.30
P(X ≥ x) = 0.70
Now by using the standard normal distribution,
we have to find the value of Z that separates the bottom 0.30 from the top 0.70 and then use the formula
Z = (X - μ)/σ
translates the Z value to the corresponding X value.
P(Z ≤ z) = 0.30
In the body of the table look for the probability of 0.30 and reach the margins to form the Z value. The mean of the distribution is "0" so below 50% of the distribution you'll find negative values.
z= -0.52
Now you have to clear the value of X:
Z= (X - μ)/σ
X= (Z * σ) + μ
X = (-0.52 * 2) + 10
= 8.96
hence, the value of seaweed height that divides the bottom 30% from the top 70% is 8.96 cm.
To learn more about normal distribution, visit:
brainly.com/question/23418254
#SPJ4
true or false: the general fertility rate refers to the number of live births reported in an area during a given time interval divided by the number of women age 15 to 44 years in the area. group of answer choices true false
The general fertility rate refers to the number of live births reported in an area during a given time interval divided by the number of women age 15 to 44 years in the area is false
The general fertility rate refers to the number of live births reported in an area during a given time interval per 1,000 women of reproductive age (usually defined as 15 to 44 years old) in the same area.
Therefore, it is a rate or a ratio that expresses the number of births in relation to the number of women of reproductive age in a population.
Hence, the statement is False that the general fertility rate refers to the number of live births reported in an area during a given time interval divided by the number of women age 15 to 44 years in the area is false
To learn more on Division click:
https://brainly.com/question/21416852
#SPJ1
i need help this is the question.
A manufacturer determines that the cost of making a computer component is $.3.191919 Write the repeating decimal cost as a fraction and as a mixed number.
Let x = 3.191919…. Then 100x = 319.191919…, and we have
100x - x = 319.191919… - 3.191919…
99x = 316
x = 316/99
Next, we have
316 = 297 + 19 = 3 × 99 + 19
so
316/99 = (3 × 99 + 19)/99 = 3 + 19/99
What is the slide e of the line shown below?
Answer:
13/6
Step-by-step explanation:
slope = (y2-y1)/(x2-x1) where the variables indicate the coordinates of the two points
slope = (-7-6)/(-5-1) = -13/-6 = 13/6