Solve the inequality.
-7x - 4 > 17
Answer:x<-3
Step-by-step explanation:
Answer:
x < -3
Step-by-step explanation:
\(-7x-4>17\\\\-7x-4+4>17+4\\\\-7x>21\\\\\frac{-7x}{-7}>\frac{21}{-7}\\\\x<-3\)
A new park is designed to contain a circular garden. The garden has a diameter of 50 m. Use 3.14 for π.
If the gardener wants to outline the garden with fencing, how many meters will the gardener need to outline the garden?
The circumference of the circle-shaped garden is 157 meters.
The gardener will need 157 meters of fencing to outline the garden.
We have,
The circumference of a circle is given by the formula C = πd, where d is the diameter.
Using this formula,
C = πd
C = 3.14 × 50
C = 157 meters
Therefore,
The circumference of the circle is 157 meters.
The gardener will need 157 meters of fencing to outline the garden.
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Can someone please help me? :(
Answer: The first one can be an independent variable and the second one can be an dependent variable......
Answer:
Distance, d, could be a(n) independent variable because it affects the amount of time that someone has traveled.
Distance, d, could also be a(n) dependent variable because it is affected by the speed traveled.
Step-by-step explanation:
Both can be dependent or independent variables depending on what result we are looking for. If one tries to know distance covered then distance is dependent variable and speed is independent variable.
So distance is an independent variable of the inverse of the function of motion as a function of time.
So we can conclude that the "Independent variable" is Time in hours or time traveled and the "Dependent variable" is Distance in miles or speed traveled.
Susan bought a calculator for $120 . She had to pay a sales tax of 10% on the price. How much change would she receive from $140 ?
Answer: $8
Step-by-step explanation: $120+10%=$132. $140-$132=$8.
hello!! how do you find y intercept
Answer:
you find the point where the line intersects
The polygon circumscribes the circle. Which of the following is the perimeter of the polygon?
A. 39 cm
B. 56 cm
C. 61 cm
D. 78 cm
The perimeter of the polygon that circumscribes the circle is 78 cm
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
The circle tangent theorem states that tangents which meet at the same point are equal in length. Hence:
The missing lengths are 8, 6, 9 and 16.
Perimeter of the polygon = 2(8) + 2(6) + 2(9) + 2(16) = 78 cm
The perimeter of the polygon that circumscribes the circle is 78 cm
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What is the equation for a line that passes through the points (-4,-3) and (8,12)?
Step-by-step explanation:
vv
HELPPPPPPPPP ASAPPPPPPPPPPPPPPPPPPPPPP!
Answer:
Step-by-step explanation:
1.<ABC sides=AC and BC
<DEF sides=DE and DF
2.<KLM sides=KLM
Answer:
1 side BC and DF
Side AB and EF
Side DE and AC
Angle B=F
Angle A=E
Angle C=D
2 side PN and KL
Side LM and NO
Side PO and KM
Angle P=K
Angle N=L
Angle O=M
Step-by-step explanation:
4. Calculating Density A piece of metal has a
volume of 38 cm3 and a mass of 277 g.
Calculate the density of the metal, and
identify it based on the information below.
Iron 7.9 g/cm? Tin 7,3 g/cm
Lead 11.3 g/cm3 Zinc 7.1 g/cm3
g
5
ake
Answer:
Tin
Step-by-step explanation:
Density
=mass÷volume
=277÷38
=7.3 g/cm3
Hope this helps!
which part in the steering column allows for changes in the angle between the upper and lower shafts?
The part in the steering column that allows for changes in the angle between the upper and lower shafts is the universal joint.
The universal joint, also known as a U-joint or Cardan joint, is a mechanical device that enables changes in the angle between two shafts that are not in a straight line. In the context of a steering column, the upper and lower shafts are connected by a universal joint.
As the steering wheel is turned, it exerts rotational force on the upper shaft of the steering column. The universal joint allows for the transmission of this rotational motion while accommodating changes in the angle between the upper and lower shafts. It provides flexibility and compensates for any misalignment between the two shafts, ensuring smooth and continuous rotation of the steering column.
The universal joint typically consists of two yokes connected by a cross-shaped component with needle bearings. These bearings allow for rotation in multiple axes, allowing the steering column to handle variations in the angle between the upper and lower shafts during steering movements.
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(1) Using the Black/Scholes Option Pricing Model, calculate the value of the call option given: S=74; X=70;T=6 months; σ2=.50 Rf=10% (2) What is the intrinsic value of the call? (3) What stock price is necessary to break-even? 4 If volatility were to decrease, the value of the call would (5 If the exercise price would increase, the value of the call would ? 6 If the time to maturity were 3-months, the value of the call would ? 77 If the stock price were $62, the value of the call would ? 8 What is the maximum value that a call can take? Why?
(1) Using the Black/Scholes Option Pricing Model, the value of the call option is $7.70.
(2) The intrinsic value of the call is the difference between the stock price and the strike price of the option. Therefore, it is $4.
(3) The stock price required to break-even is the sum of the strike price and the option premium. Therefore, it is $74.
(4) If volatility were to decrease, the value of the call would decrease.
(5) If the exercise price would increase, the value of the call would decrease.
(6) If the time to maturity were 3-months, the value of the call would decrease.
(7) If the stock price were $62, the value of the call would be zero.
(8) The maximum value that a call option can take is unlimited.
In the Black/Scholes option pricing model, the value of a call option can be calculated using the formula:
C = S*N(d1) - X*e^(-rT)*N(d2)
where S is the stock price, X is the exercise price, r is the risk-free rate, T is the time to maturity, and σ2 is the variance of the stock's return.
Using the given values, we can calculate d1 and d2:
d1 = [ln(S/X) + (r + σ2/2)T]/(σ2T^(1/2))
= [ln(74/70) + (0.10 + 0.50/2)*0.5]/(0.50*0.5^(1/2))
= 0.9827
d2 = d1 - σ2T^(1/2) = 0.7327
Using these values, we can calculate the value of the call option:
C = S*N(d1) - X*e^(-rT)*N(d2)
= 74*N(0.9827) - 70*e^(-0.10*0.5)*N(0.7327)
= $7.70
The intrinsic value of the call is the difference between the stock price and the strike price of the option. Therefore, it is $4.
The stock price required to break-even is the sum of the strike price and the option premium. Therefore, it is $74.If volatility were to decrease, the value of the call would decrease. This is because the option's value is directly proportional to the volatility of the stock.
If the exercise price would increase, the value of the call would decrease. This is because the option's value is inversely proportional to the exercise price of the option.
If the time to maturity were 3-months, the value of the call would decrease. This is because the option's value is inversely proportional to the time to maturity of the option.If the stock price were $62, the value of the call would be zero. This is because the intrinsic value of the call is zero when the stock price is less than the strike price.
The maximum value that a call option can take is unlimited. This is because the value of a call option is directly proportional to the stock price. As the stock price increases, the value of the call option also increases.
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hi can anyone tell me the answer
Answer:
Attached a pic!!
Hope it helps!!!!
what is 19ft in diameter
pls answer this question
5) A warehouse outside of a factory currently has an inventory of 1245 boxes. After an 8-
hour work day, the warehouse has 2000 boxes. Assume the warehouse was being filled at a
constant (linear) rate.
a) How many boxes per hour is the factory able to provide to the warehouse?
b) What would be the inventory at the end of a 40-hour work week?
c) How long will it take to fill the warehouse to its 50,000 box capacity?
6) In the year 2007, a FOREVER stamp cost cost $0.41. In 2023, the cost of a FOREVER
stamp was $0.63. Assume that the cost of stamps increased at a constant (linear) rate.
a) If price increases continue at the current rate, how much will a FOREVER stamp
cost in 2035?
b) In what year would you expect a FOREVER stamp to cost one dollar?
7) In January of 2021, there were 980,000 games available on the Apple App Store. By July
of 2021, there were 984,200 games available. If we assume that the number of available
games is steadily increasing at a constant (linear) rate,
a) How many games does this pattern predict will be available in January 2022?
b) At this rate, when will there be 1,000,000 games available for purchase in the Apple
App Store?
Thee factory is able to provide 94.38 boxes per hour to the warehouse.
How to calculate the valueRate = (2000 - 1245) / 8 = 94.38 boxes per hour
Therefore, the factory is able to provide 94.38 boxes per hour to the warehouse.
Boxes added in 40 hours = rate * time = 94.38 * 40 = 3,775.2
Therefore, the inventory at the end of a 40-hour work week would be:
1245 + 3775.2 = 5020.2 boxes
rate = (50000 - 1245) / time
Simplifying this equation, we get:
time = (50000 - 1245) / rate = 511.64 hours (rounded to two decimal places).
Therefore, it will take approximately 511.64 hours to fill the warehouse to its 50,000 box capacity,
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8. You have $15 in five-dollar bills and one-dollar bills. Let x represent the number of five-dollar bills you
have and y represent the number of one-dollar bills you have.
a. Write an equation that represents all the possible combinations of five-dollar lbills and one-dollar
bills you could have with $15.
b. Graph this equation to show all the different dollar bill combinations.
c. What do the ordered pairs on the graph represent?
d. How many one-dollar bills would you have if you have 2 five-dollar bills?
e. How many five-dollar bills would you have if you have 10 one-dollar bills?
f. Find and describe the x'and y-intercepts for this context.
Answer:
Below
Step-by-step explanation:
a.
5x + y = 15
b.
I can't put a graph here, but it is a straight line through (3, 0) and (0,15).
c.
The ordered pairs on the graph represent the possible combinations of 5 dollar bills (x-coordinate) and 1 dollar bills (y-coordinate) you can have summing to $15.
The valid pairs are: (3, 0), (2, 5), (1, 10), (0, 15)
d.
If you have 2 $5 bills, you will have 5 $1 bills (from the pair (2, 5)).
e.
If you have 10 $1 bills, you will have 1 $5 bill (from the pair (1, 10)).
f.
The x-intercept is (3, 0); this ordered pair is when we have 3 $5 bills and no $1 bills.
The y-intercept is (0,15); this ordered pair is when we have 15 $1 bills and no $5 bills.
Select all expressions that are squares of linear expressions.ap2 – 6p + 99x2 – 36x2 + 6x + 36Ex+4)2(2d + 8)(2d - 8)x2 + 36
Part a
p2 – 6p + 9
we know that
p2 – 6p + 9=(p-3)^2
so
the given expression is a square of linear equation
Part b
9x2 – 36=(3x-6)(3x+6)
the given expression is not a square of linear equation
Part c
x2 + 6x + 36
the given expression is not a square of linear equation
Part d
(1/2x+4)^2
he given expression is a square of linear equation
180−(68+a) simply the expression
Answer: -a +112
Step-by-step explanation:
I need help with part B
\(h = \frac{3v}{\pi {r}^{2} } = \frac{3 \times 32\pi}{\pi {(4)}^{2} } = \frac{96}{16} = 6 \: cm\)
I hope I helped you^_^
which of the following are correctly configured two-tailed tests?
In hypothesis testing, the two-tailed test is a statistical test used to determine if there is a significant difference between the mean of the sample data and the population mean.
The null hypothesis and the alternative hypothesis are included in two-tailed testing. The null hypothesis asserts that the sample population is equal to the population mean. The alternative hypothesis, on the other hand, states that the sample mean is not equal to the population mean. In this case, the rejection region is divided into two equal sections of 0.025 in each tail.
The correct answer that includes "150" is not provided in the question. Therefore, it is impossible to state which of the following are correctly configured two-tailed tests. Please, provide the complete question and additional information so I can better understand and provide an accurate answer.
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How old was Henry VIII, who was born in 1491 when he began his reign as king in 1509
Answer:
Henry VII died on 21 April 1509, and the 17-year-old Henry succeeded him as king.
find the yy -component of vector a⃗ a→ = (5.0 m/s2m/s2 , −y−y -direction).
The yy-component of vector a a is -y-direction, which is equal to 0 m/s2.the product of the second term of the vector with unit vector j^j^, which is in the direction of the y-axis.
Given a vector, a⃗ a→ = (5.0 m/s2, −y−direction)Find the yy -component of the given vector a⃗ a→.Solution: The yy-component of the given vector a⃗ a→ = -y-directionTo find the yy-component of the given vector a⃗ a→, we have to take the product of the second term of the vector with unit vector j^j^, which is in the direction of the y-axis.Therefore, the yy-component of vector a⃗ a→ is :a_yy = -y-direction = (-1)(0) = 0 m/s² Answer: 0 m/s².
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The yy-component of vector a⃗ a→ is -y-direction.
Explanation:The yy-component of a vector represents the magnitude of the vector in the y-direction.
In this case, the vector a⃗ a→ is given as (5.0 m/s2, −y-direction).
Since the yy-component is the magnitude in the y-direction, the yy-component of the vector a⃗ a→ is -y-direction.
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Please help me I am having a hard time with this activity
Answer:
Step-by-step explanation:
b.
\(\frac{a^2+6a+9}{a^2-9} *\frac{3a-9}{a+3} \\=\frac{a^2+2*a*3+3^2}{a^2-3^2} *\frac{3(a-3)}{a+3} \\=\frac{(a+3)^2}{(a+3)(a-3)} *\frac{3(a-3)}{a+3} \\=\frac{3(a+3)^2}{(a+3)^2} \\=3\)
d.
\(\frac{3x^2-6x}{3x+1} *\frac{x+3x^2}{x^2-4x+4} \\=\frac{3x(x-2)}{3x+1} *\frac{x(1+3x)}{x^2-2x-2x+4} \\=\frac{3x(x-2)}{3x+1} *\frac{x(1+3x)}{x(x-2)-2(x-2)} \\=\frac{3x(x-2)}{3x+1} *\frac{x(1+3x)}{(x-2)(x-2) } \\=\frac{3x^2}{x-2)}\)
e.
\(\frac{2x^2-10x+12}{x^2-4} *\frac{2+x}{3-x} \\=\frac{2[x^2-5x+6]}{x^2-2^2} *\frac{2+x}{-(-3+x)} \\=\frac{2[x^2-2x-3x+6]}{(x+2)(x-2)} *\frac{x+2}{-(x-3)} \\=\frac{2[x(x-2)-3(x-2)]}{(x+2)(x-2)} *\frac{x+2}{-(x-3)} \\=\frac{2(x-2)(x-3)}{(x+2)(x-2)} *\frac{x+2}{-(x-3)} \\=\frac{2}{-1} \\=-2\)
k.
\(\frac{6x^2-11x-10}{6x^2-5x-6} *\frac{6-4x}{25-20x+4x^2} \\=\frac{6x^2-15x+4x-10}{6x^2-9x+4x-6} *\frac{-4x+6}{4x^2-10x-10x+25} \\=\frac{3x(2x-5)+2(2x-5)}{3x(2x-3)+2(2x-3) } *\frac{-2(2x-3)}{2x(2x-5)-5(2x-5)} \\=\frac{(2x-5)(3x+2)}{(2x-3)(3x+2)} *\frac{-2(2x-3)}{(2x-5)(2x-5)} \\=\frac{-2}{2x-5}\)
what is 2/3 ÷ 4/5
2/3
5/6
1 1/5
3 1/3
Answer:
5/6
Step-by-step explanation:
mental math
Multiply (-5)^3 (raised to the third power)
Answer:
- 125
Step-by-step explanation:
\((-5)^{3}\)
= - 5 × - 5 × - 5
= 25 × - 5
= - 125
Answer:
-125
Step-by-step explanation:
-5^3= -5x-5x-5
-5^2=-5x-5= 25
25x-5=-125
I WILL GIVE BRIANLEST!!!! 80 PIONTS FOR THE FIRST TO ANSWER!!! 40 FOR THE NEXT TO ANSWER PIONTS PLEZ HELP NOW DUE!!!!! NO FAKE ANSWERS!!! I WILL REPORT
the relationship between altitude and the boiling point of a liquid is linear. At an altitude of 8000 ft, the liquid boils at 204.4 DegreesF. At an altitude of 4500 ft, the liquid boils at 208.6 degrees F. Write an equation giving the boiling point b of the liquid, in degrees Fahrenheit, in terms of altitude a, in feet. What is the boiling point of the liquid at 2500 ft?
Answer:
It's linear. So find the slope, with altitude as the x values and boiling point as the y values.
slope = (y2 - y1)/(x2 - x1) = (201.1 - 206.4)/(8500 - 4500) = -5.3/4000 = -0.001325 (degrees F per ft.)
Now set up the Point/Slope form of the equation and convert it to the Slope/Intercept form.
Y - 201.1 = -0.001325 * (X - 8500) Y = -0.001325 X + ( -11.2625 + 201.1 ) = -0.001325 X + 189.8375.
Set X = 2600 and solve for Y.
Oops; a mistake It should be Y = -0.001325 X + ( +11.2625 + 201.1 ) = -0.001325 X + 212.3625.
Upvote
Step-by-step explanation: I think I solved it but I'm confused.
Answer:
The answer to you question is,
We'll assume that the altitude is represented by the x-axis and that the boiling point is represented by the y-axis.
Step-by-step explanation:
Trust me, and I already done this before
ishikawa et al. (journal of bioscience and bioengineering, 2012) studied the adhesion of various biofilms to solid surfaces for possible use in environmental technologies. adhesion assay is conducted by measuring absorbance at a590. suppose that for the bacterial strain acinetobacter, five measurements gave readings of 2.69, 5.76, 2.67, 1.62 and 4.12 dyne-cm2. assume that the population is normal, and population standard deviation is known to be 0.66 dyne-cm2. (a) find a 95% confidence interval for the mean adhesion. (b) if the scientists want the confidence interval to be no wider than 0.55 dyne-cm2, how many observations should they take?
The calculated set of observations in this scenario given where adhesion assay is conducted by measuring absorbance at a590 is 7.
To calculate this question we need to possess the concept of statistics and probability and use the principles to construct a formula that will help us find the number of observations.
To find a 95% confidence interval for the mean adhesion we have to implement the formula
x ± zα/2*σ/\(\sqrt{n}\)
here,
x = mean
σ = standard deviation for the population
n = sample size
zα = z-score ( 95% confidence)
staging the values we get,
= (2.69 + 5.76 + 1.62 + 4.12)/5± 1.96*0.66/\(\sqrt{5}\)
= 3.37±0.58
then,
for 95% confidence adhesion mean = (2.79 , 3.95) dyne-cm2
now if the scientists advise the confidence interval 0.55 dyne-cm2
then,
n = (zα/2)*σ/E)²
here,
E = max width
staging the values
n = (1.96*0.66/0.55)²
≈ 7
The calculated set of observations in this scenario given where adhesion assay is conducted by measuring absorbance at a590 is 7.
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Troy started at the fire station. He walked to the library and then rode his bike to the post office. If Troy only traveled along the grid lines and took the shortest route, how far did he travel? please helllllllppppppppppppppp my last one
Answer:
14 blocks
Step-by-step explanation:
next time plz add a grid :(
Evaluate the expression for X=6 y= -1 4x + 5y
We know the value of x and y,
x = 6 and y = -1 [Given]
Substitute the value,
4x + 5y4(6) + 5(-1)24 + (-5)24 - 519 Ans.Giovanna owns a farm. She is going to randomly select one animal to present at the state fair. She has 6 pigs, 4 chickens, and 10 cows. What is the probability that the animal selected is not a chicken ?
the probability that the animal selected is not a chicken is 4/5 or 0.8, which is the answer.
There are a total of 6 + 4 + 10 = 20 animals on Giovanna's farm.
The probability of selecting a chicken randomly is 4/20 = 1/5, since there are 4 chickens out of 20 animals.
Therefore, the probability of not selecting a chicken is the complement of this probability, which is:
1 - 1/5 = 4/5
what is probability?
Probability is a measure of the likelihood that an event will occur. It is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
For example, if you flip a fair coin, there are two possible outcomes: heads or tails. The probability of getting heads is 1/2, because there is one favorable outcome (heads) out of two possible outcomes (heads or tails).
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