Given the expression;
(3+8x)+7x
First thing we need to do is open up the parenthesis as shown;
\(\begin{gathered} =(3+8x)+7x \\ =\text{ 3+8x+7x} \end{gathered}\)Simplify by adding up the like terms as shown;
\(\begin{gathered} =\text{ 3 + 8x + 7x} \\ =\text{ 3 + 15x} \end{gathered}\)Hence option A is correct
what is the surface of this rectanglur prisim
Answer: 85 ft
Step-by-step explanation:
Which scatterplot shows the strongest negative linear association?
Answer:
The scatterplot that shows the strongest negative linear association would have the points on the plot in a downward slope from left to right. The closer the points are to forming a straight line going from the upper left to the lower right, the stronger the negative linear association is. The points on the scatterplot with the strongest negative linear association will be closely clustered along a line, indicating a clear and strong relationship between the two variables being plotted.
Tom has a water tank that holds 5 gallons of water. tell me this is water for my footing to fill six bottles they each holds 16 ounces and a picture that holds one over 2 gallon how many ounces of water left in a water tank?
288 ounces of water are left in the water tank.
What is arithmetic?
Arithmetic is an elementary part of mathematics that consists of the study of the properties of the traditional operations on numbers—addition, subtraction, multiplication, division, exponentiation, and extraction of roots
Here, we have
Given: Tom has a water tank that holds 5 gallons of water. tell me this is water for my footing to fill six bottles they each hold 16 ounces and a picture that holds one over 2 gallons.
1 gallon = 128 ounces, 2 gallon = 256 ounces
6 bottles × 16 ounces = 96 ounces
2 gallon + 96 ounces = 256 + 96 ounces = 352 ounces
5 gallon = 5 × 128 = 640 ounces
= 640 - 352 = 288 ounces
Hence, 288 ounces of water are left in the water tank.
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Please don’t skip! Urgent! Please just give me the answers to the solution part.
You don’t have to explain
Answer:
you have selected the correct option for the first part
in the second part, the answer is "there is no solution"
in the third part, the answer is "one solution" which is (0 , 1)
brainly it if you found this helpful
PLEASE HELP!!
find the value of r
The two sides and two top angles are identical so the two bottom halves are the same
18 -2r = 4R
Add 2r to both sides
18 = 6r
Divide both sides by 6
R = 3
The answer is A. 3
What’s the answer? I’m not great at math
Answer:
i thiink it's D!
Step-by-step explanation:
hope this helps!!
HELPPPPPPPP PLZZZZZZX
Answer:
ur answer should be BStep-by-step explanation:
Find the surface area of this rectangular prism 4ft, 8ft, 2ft
Answer:
112ft^2
Step-by-step explanation:
A = 2(wl+hl+hw)
A = 2[(4)(8)+(2)(4)+(2)(8)]
A = 2(32+8+16)
A = 2(56)
A = 112
of 30 students, 1/3 play sports. of those who play sports,2/5 play soccer. How many students play soccer?
Answer: 4
Step-by-step explanation:
1 third of 30 is 10 and 2/5s of 10 is 4
The sum of two consecutive even integers is at most 400. The pair of integers with the greatest sum is 196 and 198. True or Flase
Answer:
False
Step-by-step explanation:
The greatest sum of two consecutive even integers would be 200 + 198, or 398
Answer:
its true
Step-by-step explanation:
15% of the students in the class
did not complete their homework. If there
are 20 students in the class, how many didn't do their homework?
Answer:
3
Step-by-step explanation:
15% of 20 Is 3.
A manufacturer has 576 square inches of material available to construct the 6 faces of a carton, which will be in the shape of a rectangular prism. To maximize the volume, the carton will have dimensions such that the length and width are each twice the height.
To maximize the volume, of the rectangular prism, the carton should have dimensions of approximately 10.74 inches (length), 10.74 inches (width), and 5.37 inches (height).
What is the dimension required to maximize the volume of the box?Assuming the height of the rectangular prism is h inches.
According to the given information, the length and width of the prism will be twice the height, which means the length is 2h inches and the width is also 2h inches.
The total surface area of the rectangular prism is given by the formula:
Surface Area = 2lw + 2lh + 2wh
Substituting the values, we have:
576 = 2(2h)(2h) + 2(2h)(h) + 2(2h)(h)
576 = 8h² + 4h² + 4h²
576 = 16h² + 4h²
576 = 20²
h² = 576/20
h² = 28.8
h = √28.8
h = 5.37
The height of the prism is approximately 5.37 inches.
The length and width will be twice the height, so the length is approximately 2 * 5.37 = 10.74 inches, and the width is also approximately 2 * 5.37 = 10.74 inches.
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Will mark brainliest! At the city Museum, child admission is $6.00 and adult admission is $9.90. on Thursday twice as many adult tickets as child tickets were sold for a total sales of $593.40 . How many child tickets were sold that day
Answer:
It sounds like a word problem! Let's solve it together. First, let's use some variables. Let's call the number of child tickets sold "c" and the number of adult tickets sold "a". We know that the total sales were $593.40, so we can write an equation for that:
6c + 9.9a = 593.4
We also know that twice as many adult tickets as child tickets were sold, so we can write another equation:
a = 2c
Now we can substitute the second equation into the first equation:
6c + 9.9(2c) = 593.4
Simplifying this equation, we get:
6c + 19.8c = 593.4
25.8c = 593.4
c = 23
So 23 child tickets were sold that day.
an airplane takes 3 hours to travel a distance of 1440 miles with the wind. The return trip takes 4 hours against the wind. Find the speed of the plane in the still air and the speed of the wind.
Answer:
The speed of the plane in the still air is 420 miles/hour
The speed of the wind 60 miles/hour
Step-by-step explanation:
Let the speed of the plane with the wind be v
Let the speed of the plane against the wind be u
Now, speed = distance/time
With the wind,
v = (1440 miles)/(3 hours) = 480 miles/hour
v = 480 miles/hour
Against the wind,
u = (1440 miles)/(4 hours) = 360 miles/hour
u = 360 miles/hour
Now, let the speed of plane be p, and speed of wind be w,
Now, with the wind, the speed is 480 mph,
so,
speed of plane + speed of wind = 480 mph
p + w = 480 (i)
and against the wind, the speed is 360 mph,
so,
speed of plane - speed of wind = 360mph
p-w = 360 (ii)
adding equations (i) and (ii), we get,
p+w + p-w = 480 + 360
2p = 840
p = 840/2
p = 420 miles/hour
Then, the speed of the wind will be,
p + w = 480,
420 + w = 480
w = 480 - 420
w = 60 miles/hour
The speed of the plane in still air is calculated to be 420 mph, and the speed of the wind is calculated to be 60 mph by solving the two simultaneous equations obtained from the time, rate, and distance relationship.
Explanation:This problem is about the rate, time, and distance relationships. The rate at which the airplane travels in still air is r (unaffected by wind), and the speed of the wind is w. When the plane flies with the wind, it is 'assisted' and therefore travels faster - at a speed of (r + w); against the wind, it travels slower - at a speed of (r - w).
From the problem, we know that:
The trip with the wind covers 1440 miles in 3 hours, so (r + w) * 3 = 1440The return trip against the wind covers the same 1440 miles in 4 hours, so (r - w) * 4 = 1440By solving these two equations, we get the following:
r + w = 480r - w = 360Adding these two gives 2r = 840 => r = 420 mph (the speed of the plane in still air), and subtracting gives 2w = 120 => w = 60 mph (the speed of the wind).
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Find the value of x if (-3)^3x+1 × (-3)^4 = (-3)^8
33) Name four congruent angles that are acute angles.
Answer:
Angles 2, 3 and 6,7 are acute angles
Answer:
∠2≅∠3
∠6≅∠7
∠3≅∠6
∠2≅∠7
Step-by-step explanation:
Hello There!
Acute angles have to have an angle that measures less then 90 degrees. This can simply be determine by looking at the angle and seeing if it makes a smaller angle or a larger angle
∠2 and∠3 are vertical angles which have congruent measures
∠6 and∠7 are also vertical angles
∠3 and∠6 are alternate interior angle which are can be known for being congruent
∠2 and ∠7 are alternate exterior angles which are also congruent
so angles 2, 3, 6 and 7 are all congruent
Let P and Q be the points in R^3 (Real Numbers on a 3-dimensional plane) with position vectors:
p = (3, -1, 1)
q = (7, 1, 3)
respectively.
Let the origin be (0, 0 ,0)
a) Find the vector form of the equation of the line l through P and Q.
b) Determine the position vector, a, of the point A on l such that OA is perpendicular to PQ.
Here is my answer for a:
(3 + 4k, -1 + 2k, 1 + 2k).
I'm struggling with b. I'm aware of the conditions that need to be met for 2 vectors to be perpendicular, but the language of the question is tripping me up.
a) If t is a real variable, then the line through the endpoints of p and q is
(p - q) t + p
That is, p - q is the vector pointing from the tip of q to the tip of p (recall the "triangle law" for vector addition). Then (p - q) t is a line through the origin parallel to p - q. Adding p to this line translates it so that it will pass through p.
So one formulation of the line's equation is
r(t) = ((3, -1, 1) - (7, 1, 3)) t + (3, -1, 1)
… = (-4, -2, -2) t + (3, -1, 1)
… = (-4t + 3, -2t - 1, -2t + 1)
which is identical to the equation you found, with t = -k.
b) OA is the line segment connecting the origin O and the point A on the line we found in part (a).
a is then the vector pointing from the origin to A. If OA is perpendicular to the line, then the dot product of a with the direction vector p - q must be zero.
a • (p - q) = 0
(a₁, a₂, a₃) • (-4, -2, -2) = 0
-4a₁ - 2a₂ - 2a₃ =0
2a₁ + a₂ + a₃ = 0
Let s(t) denote the line containing a. Then
s(t) = (a₁, a₂, a₃) t
r(t) and s(t) intersect exactly once for some value of t such that
(a₁, a₂, a₃) t = (-4, -2, -2) t + (3, -1, 1)
(a₁ + 4, a₂ + 2, a₃ + 2) t = (3, -1, 1)
Now we solve for the components of a such that the conditions we found are all met:
\(\begin{cases}2a_1 + a_2 + a_3 = 0 \\ (a_1 + 4)t = 3 \\ (a_2 + 2)t = -1 \\ (a_3 + 2)t = 1\end{cases}\)
and you would find the two lines intersect when t = 1/2, and so
a = (2, -4, 0)
I dunno this answer... pwease help... if you're smart
Answer:
H: (2, 14)
O: (4,15)
U: (6,14)
S: (2,10)
E: (6,10)
Step-by-step explanation:
the image on the grid is after doin x- 1 and y-7
to get the preimage do the inverse , x + 1 , y + 7
note- a coordinate is written as (x,y)
so, add 1 to all the x's and 7 to all the y's on the coordinates on the grid!
and sorry for asking but, if this is right could i please get a thanks & brainliest recently a moderator deleted ALL my answers (over 400 answers) causing me to lose over 3k points so id appreciate it alot thanks xoxo
Which of the following sets of ordered pairs represents a function?
{(−3, −3), (−2, −2), (−1, −1), (0, 0), (1, 1)}
{(−3, −3), (−3, −2), (−3, −1), (−3, 0), (−4, −1)}
{(−3, −3), (−3, −1), (−1, −2), (−1, −1), (−1, 0)}
{(−3 −3), (−3, 0), (−1, −3), (0, −3), (−1, −1)}
The 1st one/Top one.
X value is different each time. Function can have the same y-value (3, 1), (2, 1) but can't have the same x-value (3, 1) (3, 3)
Wendell wanted shoes that cost $50.
He found a discount code for 27% off. How much did Wendell save by using the discount code?
I
Answer:
$13.5
Step-by-step explanation:
50 x 0.27
= 13.5
Is. She analyzes
st.
Martha graphs the data for the number of bracelets made, a, and the number of beads used,
y, and draws a line through the points.
Number of Beads Used
600
500
400
300
200
100
0
Bracelets Made
versus Beads Used
(31, 651)
(23, 483).
(10, 210)
5 10 15 20 25 30 35
Number of Bracelets Made
Write an equation that represents the relationship between the number of bracelets made
and the number of beads used. Show or explain how you found the slope and y-intercept.
Enter your equation and your work or explanation in the space provided.
You may use the drawing box to add a drawing to help explain your answer.
A
7
44
▶
Exhibits
P
The equation for the relationship between the number of bracelets made and the number of beads is y = 21x.
First, the rate of change
= (483 - 210) / (23 - 10)
= 273 / 13
= 21
So, the equation for the relationship between the number of bracelets made and the number of beads used.
(y - 210) = 21 (x- 10)
y - 210 = 21x - 210
y = 21x
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Can I please get some help I’ve been stuck on this question for a while!
Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes
How many minutes of the ride are spent higher than 28 meters above the ground?The radius of the Ferris wheel is 30 / 2 = 15 meters.
The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.
The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.
The angle between these two positions is 180 degrees.
The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.
Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.
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Professor Ivy has given the following weights to her grades: Weight of Area Homework 5% Projects 25% Quiz 25% Exams 45% Your friend has the following averages: Homework: 95 Projects: 89 Quizzes: 80 Exams: 86
Answer:
The said friend's grade in Professor Ivy's class is 85.7.
Step-by-step explanation:
Assuming the question asks for your friend's grade in Professor Ivy's class.
0.05(95) + 0.25(89) + 0.25(80) + 0.45(86) = 85.7
33% of adults say cashews are their favorite kind of nut. You randomly select 12 adults and ask each to name his or her favorite nut. Find the probability that the number who say cashews are their favorite nut is (a) exactly three, (b) at least four, and (c) at most two. If convenient, use technology to find the probabilities. Due Saturday night
The cumulative probability is
P(at most 2 ) = 0.187560896 [answer]
How to solvea)
Note that the probability of x successes out of n trials is
P(n, x) = nCx p^x (1 - p)^(n - x)
where
n = number of trials = 12
p = the probability of a success = 0.33
x = the number of successes = 3
Thus, the probability is
P ( 3 ) = 0.21509867 [answer]
***********
b)
Note that P(at least x) = 1 - P(at most x - 1).
Using a cumulative binomial distribution table or technology, matching
n = number of trials = 12
p = the probability of a success = 0.33
x = our critical value of successes = 4
Then the cumulative probability of P(at most x - 1) from a table/technology is
P(at most 3 ) = 0.402659566
Thus, the probability of at least 4 successes is
P(at least 4 ) = 0.597340434 [answer]
***************
c)
Using a cumulative binomial distribution table or technology, matching
n = number of trials = 12
p = the probability of a success = 0.33
x = the maximum number of successes = 2
Then the cumulative probability is
P(at most 2 ) = 0.187560896 [answer]
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Malcolm has $50 gift card to a local car wash and order is the ultimate car wash each visit is $8.95
The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.
The correct answer choice is option B.
How much cheaper is the car washes Malcolm orders than the car washes Martha's order?Malcolm's gift card = $50.
Cost Malcolm's car wash per visit = $7
Martha's gift card = $180
Cost Martha's car wash per visit = Difference between gift card balance of first and second visit
= $180 - $160
= $20
How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7
= $13
Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13
The complete question is attached in the diagram.
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i really need help on my question!
Answer:
your answer is C
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
It is asking how many people have MORE than two fish. Not two fish.
15 + 3 + 2 = 20
A ball is thrown from an initial height of
1 meter with an initial upward velocity of
1 m/s. The ball's height h
(in meters) after t
seconds is given by the following. h=1+30t-5t^2
Find all values of t
for which the ball's height is 11
meters.
Round your answer(s) to the nearest hundredth.
Answer:
Step-by-step explanation:
If we are looking for the times that the ball was 11 meters off the ground, we sub in 11 for the height on the left and solve for t:
\(11=-5t^2+30t+1\) and
\(0=-5t^2+30t-10\) and factor this however it is you are factoring in class to solve for t to get
t = .35 seconds and t = 5.6 seconds
Because the ball reaches this point in its way up and then passes it again on its way down, the ball will have 2 times at this height.
Which expression is equivalent to (f g) (5)?
f (5) times g (5)
f (5) + g (5)
5 f (5)
5 g (5)
The expression that is equivalent to the composite function (f ° g) (5) is; Option A: f (5) times g (5)
How to solve composite functions?A composite function is defined as an operation where two functions say f and g, generate a new function say h in such a way that h(x) = g(f(x)). It means here that function g is said to be applied to the function of x. So, this basically,l tells us that a function is applied to the result of another function.
We want to find (f ° g) (5)
This simply means f(5) × g(5)
The composite function definition demands that must be the expression of the the question and as such option A is the only correct option.
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Answer:
f(5) x g(5)
Step-by-step explanation:
(fg)(5) = (f x g)(5) = f(5) x g(5)
You have $15 to invest in your business. How many lemons (the lemons cost 0.37 cents) can you buy? You may use any method you want to find this but please describe what you are doing and show your work.
You can afford to purchase 4054 lemons with $15 at the rate of 0.37 cents per lemon
How to determine the amount of lemons to purchase?From the question, we have the following parameters that can be used in our solution:
Amount invested = $15
Unit rate of lemon = 0.37 cent
Convert cent to dollars ($)
So, we have
Unit rate of lemon = $0.0037
From the above parameter, we can calculate the number of lemon using the following formula of unit rate
The unit rate is calculated as
Unit rate = Amount invested/Number of lemons
This gives
Number of lemons = Amount invested/Unit rate
Substitute the known values in the above equation
So, we have the following equation
Number of lemons = 15/0.0037
Evaluate the quotient
Number of lemons = 4054
Hence, the number of lemons you can buy is 4054
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The dimensions of a cylinder are shown in the diagram
Round to the nearest whole number , what is the total surface area of the cylinder in cubic centimeters
Answer:
S = 2π(3^2) + 2π(3)(8.2) = 67.2π = 211 cm^3