Answer:
3^12
Step-by-step explanation:
There are at least 1,350 students at school today. Which inequality represents this situation?
A x>1,350
B x≤1,350
(C) x ≥ 1,350
D x<1,350
The inequality that represents the situation given is option c x ≥ 1,350
Given,
There are at least 1,350 students at school today.
We have to find the inequality which represents the situation;
Inequality;-
The occurrence of an unfair and/or unequal distribution of opportunities and resources among the people that make up a society is referred to as inequality. To different people and in various settings, the word "inequality" may indicate different things.
Here,
At least means minimum of. That is, greater than or equal to.
So,
x be the number of students.
Then,
x ≥ 1350 represents the number of students.
That is,
x ≥ 1350 (option C) is the inequality which represents the situation given here.
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2 3/4 of 500grams in step by step calculator
Answer:
To calculate 2 3/4 of 500 grams, follow these steps:
1. Convert the mixed number to an improper fraction:
2 3/4 = (2 x 4 + 3)/4 = 11/4
2. Multiply the improper fraction by 500:
11/4 x 500 = (11 x 500)/4 = 2,750/4
3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:
2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2
Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.
Step-by-step explanation:
Need help quick please
Answer:-1/6
Step-by-step explanation:
Draw a line out in the 2nd quadrant.
Your y=\(\sqrt{35}\) hypotenuse=6 use pythagorean theorem to solve for x
6² = 35 + x²
x=1
so
cosΘ = -1/6
Ahab spent the day at the mall. First, he bought three tires for $50 each. Later, he returned one tire. After that, he found a five dollar bill. Also,he bought two jackets for $40 each. Write the total change to Ahab's funds as an integer.
Ahab's total change to funds is -$175, which means he spent more than he gained.
What are the funds?Ahab spent 3 tires at $50 each, which is a total of 3 x $50 = $150.
Later, he returned one tire, so he gets $50 back.
He also found a $5 bill, so he has an extra $5.
He then bought 2 jackets at $40 each, which is a total of 2 x $40 = $80.
The total amount Ahab spent is $150 + $80 = $230.
However, he also received $50 back and found $5, so his total change to funds is $50 + $5 - $230 = -$175.
Therefore, Ahab's total change to funds is -$175, which means he spent more than he gained.
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if m<xyz = 58 and m<wxz = 51 find m<wzx
Answer:
m<wzx = 71
Step-by-step explanation:
Assuming these are interior angles of a triangle.
The sum of all three interior angles of a triangle is always 180 degrees, therefore:
m<xyz + m<wxz + m<wzx = 180
Substitute our values:
58 + 51 + m<wzx = 180
m<wzx = 180 - 58 - 51
m<wzx = 71
Bigco Corporation is one of the nation’s leading distributors of food and related products to restaurants, universities, hotels, and other customers. A simplified version of its recent income statement contained the following items (in millions).
Cost of sales $ 11,571
Income taxes 249
Interest expense 23
Net earnings 1,442
Sales 16,400
Earnings before income taxes 1,691
Selling, general, and administration expense 3,543
Other revenues 428
Total expenses (excluding income taxes) 15,137
Total revenues 16,828
Prepare an income statement for the year ended June 30, current year. (Hint: First order the items as they would appear on the income statement and then confirm the values of the subtotals and totals.)
Step-by-step explanation:
I hope this answer is helpful ):
Find the measure of the missing angles. One of them is wrong I’m not sure which one. (Picture included)
bruhh im having the same fking problems like jesus christ!!!!
Which sequence of transformations will result in an image that is similar to its pre image?
The sequence of transformation that produce similar image is (d) a dilation followed by a rotation
How to determine the sequence of transformationsTransformation involves changing the position and/or size of a figure.
There are four types of transformation, and they are:
DilationRotationReflectionTranslationThe representation of the types of transformation are:
Dilation: k(x, y)Rotation: rotation by anglesReflection: reflection across linesTranslation: (x + h, y + k)A dilation transformation would produce a similar image, while other transformation types would produce a congruent image
Hence, the sequence of transformation is (d)
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Solve the system of linear equations by elimination. x+4y=6 −x−2y=−4
Answer:
(x , y) = (2 , 1)
Step-by-step explanation:
// Solve equation [1] for the variable x
[1] x = -4y + 6
// Plug this in for variable x in equation [2]
[2] -(-4y+6) - 2y = -4
[2] 2y = 2
// Solve equation [2] for the variable y
[2] 2y = 2
[2] y = 1
// By now we know this much :
x = -4y+6
y = 1
// Use the y value to solve for x
x = -4(1)+6 = 2
please help with question b c d
(4x + 3) - (5x – 3)
A. 6-x
B.3 - x
C.5 - x
D. 3 – 3x
Answer:
A. 6 - x
Step-by-step explanation:
(4x + 3) - (5x - 3)
Step 1: Find the opposite of 5x - 3.
4x + 3 - 5x + 3
Step 2: Add 4x and -5x to get -x.
-x + 3 + 3
Step 3: Add 3 and 3 to get 6.
-x + 6
Step 4: Reorder the equation, so the constant is first.
(4x + 3) - (5x - 3) = A. 6 - x.
Answer:
-3ax-0.3bx-0.5cx -0.3dx +1.8a+x+3
Step-by-step explanation:
Robyn sells 100 tickets to the fourth grade play. The table shows the part of the tickets she sold of each type. What fraction of the tickets were adult and student tickets ?
Answer:
78/100 i dk hope it helps soo sory if its wrong if its wrong use slader itlll give answers to your textbook cuz it looks like your using one
Step-by-step explanation:
In 2021 a 30-second commercial during the Super Bowl cost $5.6 million and the CPI was approximately 271.4. Assuming that price changes are simply due to inflation, what would the same 30 second commercial have cost during the first Super Bowl in 1967, when the CPI was 33.4? Round your answer to the nearest hundred dollars.
In 2021 a 30-second commercial during the Super Bowl cost $5.6 million and the CPI was approximately 271.4. Assuming that price changes are simply due to inflation, when the CPI was 33.4 the estimated cost of a 30-second commercial during the first Super Bowl in 1967 would be approximately $68,900.
To calculate the cost of the 30-second commercial during the first Super Bowl in 1967, we can use the concept of inflation and the Consumer Price Index (CPI).
The CPI measures the average price change of a basket of goods and services over time. By comparing the CPI values of two different years, we can estimate the relative increase in prices due to inflation.
Given data:
Cost of a 30-second commercial in 2021 = $5.6 million
CPI in 2021 = 271.4
CPI in 1967 = 33.4
To calculate the cost in 1967, we need to adjust the 2021 cost for inflation using the CPI ratio:
Cost in 1967 = (Cost in 2021) * (CPI in 1967 / CPI in 2021)
Cost in 1967 = ($5.6 million) * (33.4 / 271.4)
Cost in 1967 ≈ $0.689 million
To round the cost to the nearest hundred dollars, we can multiply the cost by 100 and round it to the nearest whole number:
Cost in 1967 ≈ $68,900
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A triangle has a base length of 3ac2 and a height 2 centimeters more than the base length. Find the area of the triangle if a = 2 and c = 3.
The area of the triangle, when a = 2 and c = 3, is 1512 square centimeters.
We must apply the formula for the area of a triangle, which is provided by: to determine the triangle's area.
(1/2) * Base * Height = Area
We can enter the values of a = 2 and c = 3 into the formula given that the base length is 3ac2 and the height is 2 centimetres greater than the base length.
Base length =\(3ac^2 = 3 * 2 * (3^2) = 3 * 2 * 9 = 54\) centimeters
Height is calculated as Base Length + 2 (54 + 2 = 56 centimetres).
Using these values as a substitute in the formula, we obtain:
Area =\((1/2) * 54 * 56 = 1512\) square centimeters
centimetres square
It's crucial to understand that the calculation assumes the triangle is a right triangle with the specified base and height and that the given values of a and c are accurately used in the formula.
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If k = -5 find the value of -7k? Please explain step by step or show work on piece of paper to get marked.
Answer:
35
Step-by-step explanation:
Given k=-5
Substitute into the equation given
-7(-5) = 35
You move up 2 units and down 8 units. You end at (-2, -3). Where did you start?
Answer:
(-2, 3)
Step-by-step explanation:
Let's work backwards.
You start at (-2, -3).
Instead of "moving up 2 units", we "move down 2 units".
Moving up or down means changing the Y axis FYI.
(-2, -5)
Instead of "moving down 8 units", we "move up 8 units".
(-2, 3)
Answer:
(0,5)
Step-by-step explanation:
2 + -2 =0
-3 +8 =5
so its( 0,5)
HOPE THIS HELPS!!!!!!!!!!!!!!!!!!
Which percent is equivalent to 2 5/6?
Answer: 283.3333333% (283.3%)
Step-by-step explanation:
First, lets turn 2 5/6 into and improper fraction. It becomes 17/6.
Now, we divide 17/6
17/6 = 2.833333333
Now, to turn it into a percent, we multiply it by 100, or move the decimal point 2 places to the right. That gives us 283.3333333% (283.3%)
Hope this helps!
Express the sequence {a_n}_n = 1^infinity as an equivalent sequence of the form {b_n}_n = 3^infinity {n^2 + 7n - 5}_n = 1^infinity An equivalent sequence is { }_n = 3^infinity (Simplify your answer. DO not factor.)
We're given the sequence,
\(\{b_n\}_{n=3}^\infty=\{25,39,55,73,\ldots\}\)
Since \(b_n\) is quadratic, \(a_n\) should also be quadratic. Replace \(n\) with \(n-2\) (if \(n=3\), then \(n-2=1\)) in the definition of \(b_n\), and let \(a,b,c\) denote the new coefficients:
\(n^2+7n-5=a(n-2)^2+b(n-2)+c\)
Expand the right side:
\(n^2+7n-5=an^2+(-4a+b)n+(4a-2b+c)\)
Coefficients of terms with the same degree should be the same:
\(\begin{cases}a=1\\-4a+b=7\\4a-2b+c=-5\end{cases}\implies a=1,b=11,c=13\)
So the new sequence is the same, with
\(\{a_n\}_{n=1}^\infty=\{25,39,55,73,\ldots\}\)
What part of an hour passes from 3:12 p.m. to 5:30 p.m.?
Answer:
2.3 hours
Step-by-step explanation:
From 3:12 pm to 4:12 pm, one hour passes.
From 4:12 pm to 5:12 pm, another hour passes.
From 5:12 pm to 5:30 pm, there are 18 minutes that pass.
Therefore, the total time elapsed is 2 hours and 18 minutes out of 60 minutes in an hour.
To convert this to a fraction, we can write:
2 hours + 18 minutes = 2 + 18/60 hours = 2.3 hours
So, 2.3/1 hour passes from 3:12 pm to 5:30 pm.
The reciprocal of -1 is
A bag contains 3 green marbles and 5 white marbles. Paul picks a marble at random from the
bag and does not put it back in the bag. He then picks another marble from the bag.
a. Construct a probability tree of the problem.
A probability tree is a visual representation of the possible outcomes of an event or series of events. In this case, the event takes a marble out of the bag.
How to create the tree?The first step in building a probability tree is to create a starting point that represents the first state of the problem. In this case, the starting point is a bag containing 3 green marbles and 5 white marbles.
The next step is to branch from the starting point and show the possible results of the first event. This includes taking out the marble out of the bag. The probability of getting a green marble is 3/8 and the probability of getting a white marble is 5/8.
After the first event, the issue status changes. In this case, the bag contains 2 green marbles and 4 white marbles.
The next step is to branch out from the state after the first event and show the possible outcomes of his second event involving pulling another marble out of his pocket. The probability of getting a green marble is 2/6 and the probability of getting a white marble is 4/6. The final step is to label the endpoints of the tree with the possible outcomes of the problem and the probabilities of each outcome.
The probability tree starts with an sack of 3 green marbles and 5 white marbles, as shown in the design showing the possible outcomes of selecting a marble, the new state of the sack after each selection, and the probability of each outcome
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Chelsey put for $450 into an account with a simple interest rate of 2.5% when she withdrew the money she had earned a total of $67.50 in interest how long did she leave the money in the account
Answer:
5.66 years
Step-by-step explanation:
450 x 1.025^(n) = 450 + 67.50
450 x 1.025^(n) = 517.50
1.025^(n) =(517.50 / 450)
1.025^(n) = 1.15
n = ln(1.15) / ln(1.025)
n = 5.66
Answer:meep
Step-by-step explanation:
meep
The polynomial - 16 + v.t+s, represents the height (in feet) of an object, where v, is the initial vertical
velocity (in feet per second), s, is the initial height of the object (in feet), and is the time in seconds). Write a polynomial that represents the
height of the object. Then find the height of the object after 1 second.
Complete question is;
The polynomial -16t² + v_o(t) + s_o represents the height (in feet) of an object, where v_o is the initial vertical
velocity (in feet per second), s_o is the initial height of the object (in feet), and t is the time in seconds. Write a polynomial that represents the height of the object that has an initial velocity of 25 ft/s and initial height of 4ft. Then find the height of the object after 1 second.
Answer:
A) Polynomial is h(t) = -16t² + 25t+ 4
B) h(1) = 13 ft
Step-by-step explanation:
A) We are given;
h = -16t² + v_o(t) + s_o
Where;
v_o = the initial vertical velocity
s_o = the initial height of the object
t = the time
We are given;
v_o = 25 ft/s
s_o = 4 ft
Thus, polynomial that represents the height is;
h(t) = -16t² + 25t+ 4
B) after a time of 1 second, height is;
h(1) = -16(1²) + 25(1) + 4
h(1) = -16 + 25 + 4
h(1) = 13 ft
The heights of 18-year-old men are approximately normally distributed, with a
mean of 68 inches and a standard deviation of 3 inches.
What is the probability that an 18-year-old man selected at random is between 67 and 69 inches tall?
The probability that an 18-year-old man selected at random is between 67 and 69 inches tall is 0.2586.
How to solve the probability?The requirement to solve the probability between z-values is to know that the probability between the z-values is the difference between the probability of the greatest z-value and the lowest z-value.
Here, the heights of 18-year-old men are approximately normally distributed, computing the z-score in this case will be:
P( 67 < x < 69) =
p( (67-68)/3 < z < (69-68)/3)
=p(-0.333 < z < 0.333
Checking the distribution table
= 2(0.1293)
= 0.2586
The value is 0.2586.
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what is 1777771 plus 8999907
Answer: 10777678
ywyw
I am lost please help thank you all
Answer:
Step-by-step explanation:
At least 9 means more than 9 and includes 9
x ≥ 9 and [9, +∞)
At most 9 means numbers less than 9
x≤9 and (-∞, 9]
more than 9 means bigger than 9 but not including 9
x > 9 and (9, +∞)
fewer than 9 means less than 9 but not including 9
x<9 and (-∞, 9)
strictly between 7 and 9 means between 7 and 9 but not including
7<x<9 and (7,9) (This is the only one I'm unsure of. Strictly, not sure if it includes or doesn't include, usually it just says include or doesn't include)
between 7 and 7 inclusive. means it's just =7 There's no boundaries
x=7
no more than 7 means less than 7 and includes 7
x ≤ 7 and (-∞, 7]
Help!!!!!!!!!!!!!!.
Plzzzzzzzzzzzzzzzzzzzzzzz
PLEASE EXPLAIN!!
The ratio of my sister's age to my age is 10: 9.
The ratio of my brother's age to my age is 29 : 27.
I am over 40 years old but under 70 years old.
What is my age?
Sis : you : bro
10 : 9 : ?
? ? : 27 : 29
We can get the 9 at the top to 27, by multiplying the whole row by 3 to get:
30 : 27 :?
? : 27 : 29
Your age matches (in the ratios or relation to your sis & bro) now 27 yrs in both ratio. Creating a single ratio, whereby multiplying the top row by 3 to get you to 27 & bottom row by 1 to get you to 27. Knowing when you're 27 in both cases, you know how old your sis & bro is
So, replace the ? with the number above or below it, creating a single ratio, where you are in common with both, by being 27 in both cases.
The ratio of sis : you : bro is now -
The ratio of sis : you : bro is now - 30: 27 : 29
To find what your age is we need to increase the ratio in the same amount to find your maximum age under 70.
So, if we were to double your age to 54, by multiplying your previous age of 27 by 2. We've got to do the same for your sis & bro too, they're aging with you.
We get :
We get :60 : 54 : 58
(30 x 2) : (27 x2) : (29 x2)
Keep increasing the ratio, to the point you're not above 70 years. Now, I'll multiply all ages by 3.
30: 27 : 29
(30 x 3) : ( 27 x 3) : (29 x 3)
We get:
We get:90 : 81 : 87
Right now, you're above the age of 70.
Thus, your maximum age must be 54, where you're under 70 years, but over 40 years.
Answer : 54 years
Hope this helps!
A) Find an equation for the line perpendicular to the tangent line to the curve y=x^3-4x+6 at the point (2,6)
-The equation is y=
b) What is the smallest slope on the curve? At what point on the curve does the curve have this slope?
-The smallest slope on the curve is
-The curve has the smallest slope at the point
c) Find equations for the tangent lines to the curve at the points where the slope of the curve is 8.
Answer:
f(x) = x³ - 4x + 6
f'(x) = 3x² - 4
a) f'(2) = 3(2²) - 4 = 12 - 4 = 8
6 = 8(2) + b
6 = 16 + b
b = -10
y = 8x - 10
b) 3x² - 4 = 0
3x² = 4, so x = ±2/√3 = ±(2/3)√3
= ±1.1547
f(-(2/3)√3) = 9.0792
f((2/3)√3) = 2.9208
c) 3x² - 4 = 8
3x² = 12
x² = 4, so x = ±2
f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6
6 = -2(8) + b
6 = -16 + b
b = 22
y = 8x + 22
f(2) = 6
y = 8x - 10
The equation perpendicular to the tangent is y = -1/8x + 25/4
-The smallest slope on the curve is 2.92
The curve has the smallest slope at the point (1.15, 2.92)
The equations at tangent points are y = 8x + 16 and y = 8x - 16
Finding the equation perpendicular to the tangentFrom the question, we have the following parameters that can be used in our computation:
y = x³ - 4x + 6
Differentiate
So, we have
f'(x) = 3x² - 4
The point is (2, 6)
So, we have
f'(2) = 3(2)² - 4
f'(2) = 8
The slope of the perpendicular line is
Slope = -1/8
So, we have
y = -1/8(x - 2) + 6
y = -1/8x + 25/4
The smallest slope on the curveWe have
f'(x) = 3x² - 4
Set to 0
3x² - 4 = 0
Solve for x
x = √[4/3]
x = 1.15
So, we have
Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6
Smallest slope = 2.92
So, the smallest slope is 2.92 at (1.15, 2.92)
The equation of the tangent lineHere, we set f'(x) to 8
3x² - 4 = 8
Solve for x
x = ±2
Calculate y at x = ±2
y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)
y = (2)³ - 4(2) + 6 = 6: (2, 0)
The equations at these points are
y = 8x + 16
y = 8x - 16
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which if the following items showed the greatest percentage in bulk