2t + 4 < -8
2t < -12
t < -6
For the inequality to be true, t must be a number that is less than -6.
Hope this helps!
Willey’s Grill & Restaurant Corporation wholesales ovens and ranges to restaurants throughout the Southwest. Willey’s Grill & Restaurant, which had 335,000 shares of common stock outstanding, declared a 2-for-1 stock split. This information has been collected in the Microsoft Excel Online file. Open the spreadsheet, perform the required analysis, and input your answers in the questions below.
a. The number of shares outstanding after the stock split by Willey’s Grill & Restaurant Corporation is 670,000 (335,000 x 2).
b. If the common stock had a market price of $510 per share before the stock split, the approximate market price per share after the split is $255 ($510/2).
What is a stock split?A stock split is a way that a corporation increases the number of its shares by increasing or decreasing the number of shares outstanding.
When a stock split increases the number of outstanding shares, the market price reduces proportionately.
Question Completion:a. What will be the number of shares outstanding after the split? Round your answer to the nearest whole number.
b. If the common stock had a market price of $510 per share before the stock split, what would be an approximate market price per share after the split? Round your answer to the nearest dollar.
Thus, the stock split increased the outstanding shares to 670,000 while reducing the market price to $255.
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What is the measure of n?
28
n = [?]
n
7
3
Answer: 14
Step-by-step explanation:
By the geometric mean theorem,
[tex]\frac{n}{28}=\frac{7}{n}\\\\n^{2}=196\\\\n=\boxed{14}[/tex]
Help!! A semi circle sits on top of a rectangle to form the figure below. Find this area in parameter use 3.14 for
The area of the figure in the task content is; 14.28in².
What is the area of the figure in the task content?The area of the figure in the task content can be evaluated as the area of the semicircle and the rectangle.
Hence, the area of the semicircle is; (3.14/2) × (4/2)² = 6.28in².
The area of the rectangle can be evaluated as; 2 × 4 = 8in².
Hence, the area of the entire figure is; 8+ 6.28 = 14.28in².
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A banana grows from a tiny flower that is called "a finger". Each row of
bananas is called a "hand" and can contain 14 to 20 "fingers". Each banana
bunch can grow 9 to 12 hands.
1) What is the least amount of bananas that can grow from each bunch?
The smallest number of bananas that can grow in a bunch is 126.
How to calculate the least amount of bananas that can grow in a bunch?To calculate the least amount of bananas that can grow in a bunch, we must identify which are the smallest possibilities, in this case they are 14 fingers per hand and 9 hands per bunch.
According to the above, the least amount of bananas per bunch would be:
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Each exterior angle of a regular decagon has a measure of (3x + 6)°. What is the value of x?
Ox=8
Ox= 10
Ox=13
Ox=18
Whats the correct answer answer asap for brainlist
Justin's box of crayons was full. He gave half the crayons in the box
to Daniel. How much remained in Justin's box?
Use the Histogram below to answer
Considering the given histogram, we have that:
1. Chebyshev's Theorem.
2. At least 89%.
3. At least 75%.
What does Chebyshev’s Theorem state?When we have no information about the population distribution, Chebyshev's Theorem is used. It states that:
At least 75% of the measures are within 2 standard deviations of the mean.At least 89% of the measures are within 3 standard deviations of the mean.An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].
We can see from the histogram that the distribution is not normal, hence Chebyshev's Theorem can be used.
-15 and 105 are within 3 standard deviations of the mean, hence the percentage is of at least 89%.
As stated in the bullet points, at least 75% of the measures are within 2 standard deviations of the mean.
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8. Jess walked for 45 minutes at 3 km/h and then ran for half an hour at x km/h. At the end
of that time she was 6 km from the starting point. Find the value of x.
Answer:
x = 7.5 km/h
Step-by-step explanation:
• First calculate the distance covered by walking at 3 km/h for 45 minutes ( 0.75 h):
distance = speed × time
= 3 × 0.75
= 2.25 km
• Therefore, she covered 2.25 km of the total journey by walking. Since she was 6 km from the starting point at the end of the entire journey, we can calculate the distance remaining, which she had to run:
distance she had to run = 6 - 2.25
= 3.75 km
• Now we can calculate the speed of the 30 minute (0.5 h) run:
speed = distance ÷ time
= 3.75 ÷ 0.5
= 7.5 km/h
This means that she ran at 7.5 km/h for half an hour.
∴ x = 7.5
Select three ratios that are equivalent to 11:111:111, colon, 1.
Choose 3 answers:
The three ratios that are equivalent to the given ratio are options B, C and E.
How to determine the equivalent ratios?In order to determine the ratios that are equivalent to the given ratio, we would evaluate by dividing each of them by their respective denominator value:
(11:111:111)/1 = 11:111:111.
For choice A, we have:
1:111:111/11 = 1/11:111:111 (not equivalent).
For choice B, we have:
22:222:222/2 = 11:111:111. (equivalent).
For choice C, we have:
55:555:555/5 = 11:111:111. (equivalent).
For choice D, we have:
9:999:999/99 = 1/11:111:111 (not equivalent).
For choice E, we have:
110:1110:1110/10 = 11:111:111. (equivalent).
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Complete Question:
Select three ratios that are equivalent to 11:111:111, colon, 1. Choose 3 answers: Choose 3 answers: (Choice A) A 1:111:111, colon, 11 (Choice B) B 22:222:222, colon, 2 (Choice C) C 55:555:555, colon, 5 (Choice D) D 9:999:999, colon, 99 (Choice E) E 110:1110:1110, colon, 10.
CHECK
n =
Solve the equation.
−4(n − 6)= 12
[tex] - 4(n - 6) = 12 \\ (n - 6) = \frac{12}{ - 4} \\ n - 6 = - 3 \\ n = - 3 + 6 \\ n = 3[/tex]
In this activity, you will use multiple representations of relationships to identify key features and solve problems.
Ryan conducted a 6-day study observing the effects of an organic plant food on the growth of his sprouting bean plant. He tracked these two pieces of information:
the amount of plant food remaining in the container after each day’s feeding
the height of the plant over time
Part A
Ryan found that the amount of plant food remaining decreased an equal amount each day, and he used the entire 72 milliliters by the end of his study.
Part B
Ryan also found that he could model the height of his plant with the equation h = 0.5d + 4, where d is the number of days and h is the height in centimeters.
Part C (This is the question that I need help on....PLEASE?)
Explain the similarities and differences between the two relationships in this situation.
The domain will be 0<x<6 and the range will be 0<y<72.
How to illustrate the information?The information given implies that this would be a continuous relationship.
The process of elimination can be used to rule out the sets of numbers that are used in discrete relationships.
X is the amount of days that he was studying the plants.
The inequality is written like this for x: 0<x<6.
For the range, y is the plant food that was used which is 72 milliliters.
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The sum of product of two and nine and product of two and thirty-six is divided by nine and then the quotient is multiplied by the sum of the first three prime numbers.
The sum of the product of two and nine and the product of two and thirty-six is divided by nine and then the quotient is multiplied by the sum of the first three prime numbers is 100.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The expression can be written as,
[tex]\dfrac{(2 \times 9)+(2 \times 36)}{9} \times (2+3+5)[/tex]
The result of the above expression will be,
[tex]\dfrac{(2 \times 9)+(2 \times 36)}{9} \times (2+3+5)\\\\=\dfrac{18+72}{9} \times (10)\\\\[/tex]
= (90/9) × 10
= 10 × 10
= 100
Hence, the sum of the product of two and nine and the product of two and thirty-six is divided by nine and then the quotient is multiplied by the sum of the first three prime numbers is 100.
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Q.17> In how many ways 4 arts students and 4 science Students be arranged alternative at a round table?
Using the arrangements formula, it is found that there are 1152 ways for the students to be arranged alternatively at the table.
What is the arrangements formula?The number of possible arrangements of n elements is given by the factorial of n, that is:
[tex]A_n = n![/tex]
In this problem, we have that:
With the art students at the odd numbered places and the science students at the even numbered places, there are 4! x 4! ways.Same number of ways if they exchange, art even and science odd.Hence the number of ways is:
2 x 4! x 4! = 1152
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Solve the proportion 2:x x 4:34
[tex]\Large\maltese\underline{\textsf{Our problem:}}[/tex]
Solve the proportion. [tex]\bf{\dfrac{2}{x}=\dfrac{4}{34}[/tex].
[tex]\Large\maltese\underline{\textsf{This problem has been solved!}}[/tex]
We multiply 2 by 34, and x by 4 (this is known as cross multiplication)
[tex]\bf{2*34=4*x}[/tex] | simplify
[tex]\bf{68=4x}[/tex] | solve in terms of x
[tex]\bf{17=x}[/tex]
[tex]\rule{300}{1.7}[/tex]
[tex]\bf{Result:}[/tex]
[tex]\bf{17=x}[/tex]
You are flying a kite and have let out 30 feet of string but it got caught in an 8ft tree. What is the angle of elevation to the location of the kite? Show your work finding the angle of elevation and state the measure of the angle. You are flying a kite and have let out 30 feet of string but it got caught in an 8ft tree . What is the angle of elevation to the location of the kite ? Show your work finding the angle of elevation and state the measure of the angle .
Answer:
15.47 degrees
Step-by-step explanation:
What is the range of the exponential function shown below?
Answer:
D. y>0.
Step-by-step explanation:
1) the domain of the given function is any real numbers, then
2) if x→+∞, then y→0; if x→-∞, then y→+∞;
3) finally, the required range is y>0; answer D.
please help
f (5) = x2
Answer:
25
Step-by-step explanation:
f(5)=x2
=25
Solve x2 – 8x + 15 < 0. Select the critical points for the inequality shown. –15 –5 –3 3 5
The critical points are within rthe range 3<x<5
Quadratic equationsThese are equations that has a leading degree of 2. Given the expression below.
x²-8x+15<0
Factorize
x²-3x-5x+15<0
Factor out the GCF
x(x-3)-5(x-3) <0
Group
(x-3)(x-5)<0
Find the solution
x < 3 and x <5
Hence the critical points are within rhe range 3<x<5
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1. What is the Importance of Finance in a Business?
2. What is the impact of Business in our economy?
Answer:
1) Finance is very important in a business as to meet the expenses from manufacturing a product to solding it capital is required. without finance one cannot run a business . even a small scale business requires some finance.
2) Business has a great impact in our economy. it increases the overall economy and contributes somewhere between 70 to 72% to the GDP.
Can someone help me?
Answer:
m∠R = 112°
m∠S = 112°
m∠T = 68°
Step-by-step explanation:
Quadrilateral QRST is a cyclic quadrilateral.
A cyclic quadrilateral is a quadrilateral drawn inside a circle where every vertex touches the circumference of the circle.
The opposite angles in a cyclic quadrilateral sum to 180°.
⇒ m∠Q + m∠S = 180°
⇒ m∠R + m∠T = 180°
Given:
m∠Q = 68°m∠R = (3x + 40)°m∠T = (5x - 52)°Measure of angle Q
⇒ m∠Q + m∠S = 180°
⇒ 68° + m∠S = 180°
⇒ m∠S = 180° - 68°
⇒ m∠S = 112°
Measure of angles R and T
⇒ m∠R + m∠T = 180°
⇒ (3x + 40)° + (5x - 52)° = 180°
⇒ )8x -12)° = 180°
⇒ 8x° = 192°
⇒ x = 24
Substituting the found value of x into the expressions for angles R and T:
⇒ m∠R = (3(24) + 40)°
⇒ m∠R = 112°
⇒ m∠T = (5x - 52)°
⇒ m∠T = 68°
Sadie made a playlist for her road trip to Arizona. She added the same number of songs from each of her 6 favorite bands. In all, Sadie added 72 songs to the playlist.
Answer: 12 each
Step-by-step explanation: 72 divided by 6 = 12
Which relation is also a function?
O {(1,0), (2,2), (1,3)}
O {(1, 2), (1, 4), (2, 6) }
○ {(2, 1), (2, 2), (2, 3) }
○ { (0, 0), (4, 0), (6, 0) }
Answer: Option 4
Step-by-step explanation:
Each value of x maps onto one value of y, meaning the relation is a function.
please help me with this
Evaluate: 2^-4 =
Answer: [tex]\frac{1}{16}[/tex]
Step-by-step explanation:
Whenever an exponent is negative, you flip the solution.
For this, [tex]2^4 = 2*2*2*2 = 4*4 = 16[/tex], however the exponent is negative, so flip 16 to get your final answer of [tex]\frac{1}{16}[/tex]
The elementary school lunch menu repeats every 20 days; the middle school lunch menu repeats
every 15 days. Both schools are serving pizza today. In how may days will both schools serve pizza
again?
Answer:
60 Days.
Step-by-step explanation:
Alright. We're told that the elementary menu repeats every 20 days. All right. And the middle school repeats every 15 days. And today they're both serving pizza. It asks how long until they're both saving it serving pizza again. Alright. So we can kind of just write them out and say well, if it's every 20 days, it repeats. Well then in 20 days from now we're going to get pizza again. And then after that another 20 days, so 40 days and then after that another 60 days. Okay. And we're just adding 20 each time. Uh you know, to see when would we get pizza again at the elementary school? Well, we can do the same thing here with middle school. And when are they going to get pizza again? Well, in 15 days from now they would get pizza again and then another 15 days from that. So that's 30 And then 45 and then 60 and then 75 and so on. And the first time that they're going to repeat is well, this is the common factor that are the common multiple that they have, which is 60. This is really just a complicated way of asking what is the least common multiple of 20 and 15. Alright. And your answer is going to be 60. So it'll be 60 days until they serve the same pizza again.
You work as an assistant for a local musical theatre group, the Main Street Theatre Company. The company is putting on a production of Les Misérables this year, and they need your help planning it.
All the roles have now been cast, and the lead actors playing the following parts are gathered around a large circular table for their first read: Jean Valjean, Inspector Javert, Thénardier, Enjolras, Marius, Fantine, adult Cosette, adult Éponine, and Madame Thénardier. It is your job to seat these 9 actors, the 3 producers, and the director around the table.
Remember that there are 5 lead male roles and 4 lead female roles. If you must seat the male leads together, the female leads together, the 3 producers together, and the director by himself, how many different ways can you seat the 13 people around the circular table?
103,680
479,001,600
6,227,020,800
17,280
Answer:
6227020800
is mi answer
12
intent attribution
QUESTION 5 1 POINT
.
Tickets for a basketball game cost $3 for students and $5 for adults. The number of students was 11 less than 8 times
number of adults. The total amount of money from ticket sales was $895. How many of each ticket were sold?
Provide your answer below:
adult tickets,
FEEDI
student tickets
Answer:
32 adult245 studentStep-by-step explanation:
The given relations between numbers and prices can be used to write a system of equations for the number of each kind of ticket. One equation will describe ticket numbers; the other will describe ticket revenue.
SetupLet x represent the number of adult tickets, and y the number of student tickets. The given relations can be written as the general-form equations ...
8x -y -11 = 0 . . . . . . . . . ticket numbers
5x +3y -895 = 0 . . . . . ticket revenue
SolutionThe setup using general form equations lends itself to solution using the "cross multiplication method." Using this method, we define three numbers used in the solution:
Δ = 8(3) -5(-1) = 24 +5 = 29
Δx = -1(-895) -3(-11) = 895 +33 = 928
Δy = -11(5) -(-895)(8) = -55 +7160 = 7105
And the solutions are ...
x = Δx/Δ = 928/29 = 32
y = Δy/Δ = 7105/29 = 245
32 adult tickets and 245 student tickets were sold.
__
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Question 10 of 10
Use long division to find the quotient below.
(4x³+ 11x2 +9) + (x+3)
A. 4x²+x+3
OB. 4x²-2x+3
OC. 4x²-x+ 3
OD. 4x²+2x+3
The quotient of the division using the long division rule is 4x^2 - x + 3
Synthetic division of functionsPolynomial functions are functions that has a leading degree of 3 and above. Given the following parameters.
Dividend = 4x³+ 11x2 +9
Divisor = x + 3
Using the synthetic division to determine the quotient
4x^2 - x + 3
x+3 | 4x³+ 11x2 +9
4x³ + 12x²
__________________
-x² + 0x
-x² - 3x
___________________
3x+9
3x+9
___________________
-------
Hence the quotient of the division using the long division rule is 4x^2 - x + 3
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Which is the solution set of the compound inequality 3,5x-10 >-3 and 8x-9<397
-2
-2
2
2
Answer:
2
Step-by-step explanation:
There’s a garden in the neighborhood, and the number of bushes in the garden can be determined by the equation B = 2s, where B is the number of bushes and s is the number of seeds planted. How many seeds were planted if there are 10 bushes?