Answer:
\(\huge\boxed{\text{the slope}=\dfrac{2}{3}}\)
Step-by-step explanation:
The formula of a slope
\(m=\dfrac{y_2-y_1}{x_2-x_1}\)
Put the coorcinates of the points:
(2, 3); (5, 5)
\(m=\dfrac{5-3}{5-2}=\dfrac{2}{3}\)
(2, 3); (8, 7)
\(m=\dfrac{7-3}{8-2}=\dfrac{4}{6}=\dfrac{4:2}{6:2}=\dfrac{2}{3}\)
The point (2, 3), (5, 5) and (8, 7) are collinear because have the same slope.
0.9t
t² + 64
Find the time
The concentration of a drug t hours after being injected is given by C(t) =
when the concentration is at a maximum. Give your answer accurate to at least 2 decimal places.
hours.
Calculator
Submit Question
Compare.
5 /3
8 /5
A. >
B.<
C. =
Answer:
a
Step-by-step explanation:
5/3 is 1.6666667
8/5 is 1.6
therefore 5/3 > 8/5
EXPLORE
The distance that the light from a lighthouse can be seen from a boat on the water is
a function of the height of both the lighthouse and the viewer above the water level.
If a sailor is viewing the lighthouse from the deck of a ship 15 feet above the water,
the maximum distance that he can see a light from a lighthouse on the horizon is
calculated using the function d(h) = √7(+15), where d(h) is the maximum distance in
miles and h is the height of the lighthouse, in feet, above the water level.
4
1.
In the 1850s, planning began for a lighthouse at Bolivar Point, Texas. Local
mariners determined that the light from the lighthouse should be visible from
a boat 14 miles offshore. Write an equation that could be used to determine
required height of the lighthouse.
15=√ 7+15
The maximum distance that the sailοr can see frοm the deck οf the ship is 0 miles.
What is a functiοn?A special kind οf relatiοn knοwn as a functiοn is οne in which each input has precisely οne οutput. In οther wοrds, the functiοn generates exactly οne value fοr each input value. Because οne is mapped tο twο different values, the abοve graph depicts a relatiοnship rather than a functiοn. Hοwever, if οne were instead mapped tο a single value, the relatiοnship mentiοned abοve wοuld becοme a functiοn.
Additiοnally, οutput values can be equal tο input values. We knοw that the square rοοt functiοn is an increasing functiοn, which means that the value οf the functiοn increases as the input value increases.
Therefοre, tο find the maximum value οf the functiοn, we need tο find the maximum value οf h.
Assuming that the lighthοuse is οn the hοrizοn, which is apprοximately 3 miles away, we can use the Pythagοrean theοrem tο find the height οf the lighthοuse:
\(h^2 = (3)^2 - (15)^2h^2 = 9 - 225h^2 = -216\)
Since we cannοt take the square rοοt οf a negative number, there is nο real height fοr the lighthοuse that wοuld make it visible frοm a ship 15 feet abοve the water level.
Therefοre, the maximum distance that the sailοr can see frοm the deck οf the ship is 0 miles.
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3/8 + 1/4 = Tap on the pic to see wiestion
Answer:
3/8 + 1/4 is 5/8 and 1/10+4/5 is 1
Step-by-step explanation:
convert 1/4 to 2/8 and add to 3/8 to get 5/8
convert 4/5 to 9/10 and add to 1/10 equals 10/10 which is also 1
Answer:
9/10 (and 5/8 for question in title)
Step-by-step explanation:
To add fractions, you need to make a common denominator, which you can have a common denominator of 10.
To do this, multiply the numerator (4) and the denominator (5) by 2. You will get 8/10.
Now you can add them together: 8/10 + 1/10 = 9/10
I don't know if you wanted the question in the title answered too so here:
Same thing; common denominator. Use 8. Multiply 1 by 2 and 4 by 2. You get 2/8.
Add: 3/8 + 2/8 = 5/8
Jason is buying wings and hot dogs for a party. One package of wings costs $7. Hot dogs cost $5 per package. He must spend no more than $40. Write and inequality to represent the cost of Jason’s food for the party. Jason knows that he will be buying at least 5 packages of hot dogs. Write an inequality to represent this situation. Graph both inequalities. Give two options for Jason when buying wings and hot dogs.
An inequality to represent the cost of Jason’s food for the party is
An inequality to represent this situation "Jason knows that he will be buying at least 5 packages of hot dogs" is
The two options for buying wings and hot dogs include the following:
One (1) package of wings and five (5) packages of hot dogs.Two (2) packages of wings and five (5) packages of hot dogs.How to write the required system of linear inequalities?In order to write a system of linear inequalities to describe this situation, we would assign variables to the number of packages of hot dogs and number of packages of wings respectively, and then translate the word problem into algebraic equation as follows:
Let the variable x represent the number of packages of wings.Let the variable y represent the number of packages of hot dogs.Since one package of wings costs $7 and Hot dogs cost $5 per package, and he must spend no more than $40, a linear inequality which represents this situation is given by;
7x + 5y ≤ 40
Additionally, since Jason knew he would buy at least 5 packages of hot dogs, a linear inequality which represents this situation is given by;
y ≥ 5
Next, we would use an online graphing calculator to plot the above system of linear inequalities as shown in the graph attached below.
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PLS HELP FAST!
A Food Pantry is making packages, Each package weighs 64 pounds.
Scenario 1: Each Package contains 4 identical bags of rice and a 7-pound bag of beans.
a. write an equation to represent the situation using x.
Scenario 2: Each package contains 4 boxes. Each box contains a 7-pound bag of beans and a bag of rice. The bags of rice are all identical.
b. write an equation to represent the situation using x.
I will give brainliest if I figure out how to. I don't know how to. If I figure it out, I will give you one.
Scenario a: 4x+7=64
Scenario b: 4(7+x)=64
x represents how much the bags of rice weigh in each scenario.
Whats the answer to this?
Answer: \(x=200\)
Step-by-step explanation:
\(\frac{1}{5}x-\frac{2}{3}y=30\)
\(\frac{1}{5}x-\frac{2}{3}(15)=30\)
\(\frac{1}{5}x-10=30\)
\(\frac{1}{5}x=40\)
\(x=\frac{40}{\frac{1}{5}}\)
\(x=40*\frac{5}{1}\)
\(x=200\)
Lines m and n are parallel. What is
Answer:
Line m and m is a straight line
Kai and Finley were studying together for their exams the
following day. They had planned to spend the entire two days
after the exams hiking to a log cabin on the Winslow trail. The trail
was closed on Mondays, Wednesdays, and weekends.
On which day of the week was their exam scheduled?
Their exam must have been scheduled on Wednesday, allowing them to start hiking on Thursday after the exams.
How to determine which day of the week was their exam scheduledTo determine the day of the week on which Kai and Finley's exam was scheduled, we need to consider the information provided about the trail being closed on Mondays, Wednesdays, and weekends.
If they had planned to hike to the log cabin for two days after the exams, and the trail is closed on weekends, it means they cannot start hiking on Saturday or Sunday.
Since they cannot start hiking on Saturday or Sunday, the two possible options for the exam day would be Monday or Wednesday, as they have not specified whether the hike starts immediately after the exams or the day after.
However, we can conclude that their exam was not scheduled on Monday, as the trail is closed on Mondays, and they had planned to hike immediately after the exams.
Therefore, their exam must have been scheduled on Wednesday, allowing them to start hiking on Thursday after the exams.
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What is the circumference of the circle if the radius is 10 cm?
The circumference of the circle is 62.8cm.
The Circumference of the circle is given by the formula,
Circumference = 2*\(\pi\)*r cm.........equation 1
Given, r = 10cm
On substituting the radius value in equation 1
Circumference = 2*\(\pi\)*10
Circumference = 62.8 cm
Therefore, the circumference of the circle is 62.8cm.
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its not telling me how to do this, please help
Step-by-step explanation:
Actually, it tells you exactly what to do.
First, translate, i.e., move over, the coordinates up by 3:
\((1, 4)\rightarrow (1+3, 4+3) = (4, 7)\)
Then reflect this point about the x-axis and to do this,
\((x, y) \rightarrow (x, -y)\)
\((4, 7) \rightarrow (4, -7)\)
HELLPPPPPPPP PLEASSSEEE :)
Answers for Row 1: 2, -6, -1
Answers for Row 2: 0, 5, 0
========================================
Explanation:
When we add matrices, we must first make sure they are the same dimensions. In this case, both are 2x3 matrices, so we can add them.
To add matrices, you add the corresponding components.
For example, in the first row, first column, we have B+A = -2+4 = 2. So the value 2 will go in the first row, first column, of the answer matrix.
The other elements are handled in a similar fashion.
A french class has a total of 25 student.The number of males is 7 more than the number of females how many males and how many females are in the class?
Answer:
16 males and 9 females.
Step-by-step explanation:
If you subtract 7 from 25 you get 18. If you split 18 in half you get 9. Which means if you add 7 to 9 you get the number of males, which leaves you with 9 students left so the rest are females.
Answer:
16 males and 9 females
Step-by-step explanation:
To solve this we can use a system of equations.
Let's start by naming the number of females x.
The number of males would then be y.
Using these variables, we can set up 2 equations using info provided:
A french class has a total of 25 students, -> x+y=25
The number of males is 7 more than the number of females -> x+7=y
Use substitution to solve.
From the second equation:
x+7=y
Subtract 7 from both sides.
x=y-7
Substitute that into the first equation.
x+y=25
y-7+y=25
Combine like terms.
2y-7=25
Add 7 to both sides.
2y=32
Divide both sides by 2.
y=16
Substitute y=16 into equation 2.
x+7=y
x+7=16
Subtract 7 from both sides.
x=9
Therefore, there are 16 males and 9 females in the french class.
The ESS Ravens bought pizza for $900 to sell at the football game. They kept 10 pizzas to feed the players after the game and sold the rest for $1040. There were 8 slices in each pizza. Their profit was 50 cents a slice.
a) How many pizzas were in the original order?
Answer: 45
Step-by-step explanation:
The total profit in all was \(1040-900=\$ 140\).
The total profit per pizza was \((0.50)(8)=\$4\).
This means they sold \(\frac{140}{4}=35\) pizzas.
Adding this to the 10 pizzas held back, there were \(35+10=45\) pizzas in the original order.
please fast if could
Answer:9/41
SOH = opposite over hypotenuse
Step-by-step explanation:
7.4 need urgent help please!!!
Answer:
Here both line are perpendicular because as product of slope of both lines is -1
Answer:
lines are perpendicular
Step-by-step explanation:
If 2 lines are perpendicular then the product of their slopes = - 1
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
(1)
y = \(\frac{3}{4}\) x - 1 ← is in slope- intercept form
with slope m = \(\frac{3}{4}\)
(2)
3y = - 4x + 6 ( divide each term by 3 )
y = - \(\frac{4}{3}\) x + 2 ← in slope- intercept form
with slope m = - \(\frac{4}{3}\)
Then
\(\frac{3}{4}\) × - \(\frac{4}{3}\) = - 1
Thus the 2 lines are perpendicular to each other
PLEASE HELP
I think the answer is either 18 pounds or 26
The scatter plot shows the weight of a baby panda in the months after it is born. How much would you expect a 5 month old baby panda to weigh?
Answer:
Im pretty sure its 21 pounds.
Add. Write the sum in simplest form.
1 1/12 + 3 2/12 =
Answer:
4 1/4
Step-by-step explanation:
BRAINLIEST?!
Evaluate -3 to the 2 power + (2-6)(10)
pls hurry i need help on it
Answer:
-31
Step-by-step explanation:
-3 to the power of 2 means -3*-3 and since negative multiplied by negative is positive, that will give 9
9 + (2-6)(10)
9+-4(10)
9+ -40
9-40
-31
Directions: Solve for x.
Answer:
500
Step-by-step explanation:
including the new season of the year and a half years of the year and a half years
2 = x
3 26
How do i solve this equation
Answer:
do the butterfly method if you don't know how to do that comment and I'll show you a screenshot
Among the thirty largest U.S. cities, the mean one-way commute time to work is 25.8 minutes. The longest one-way travel time is in New York City, where the mean time is 38.5 minutes. Assume the distribution of travel times in New York City follows the normal probability distribution and the standard deviation is 7.2 minutes.
1. What percent of the New York City commutes are for less than 26 minutes?
2. What percent are between 26 and 32 minutes? 3. What percent are between 26 and 40 minutes?
Answer:
(1) 4.09% of the New York City commutes are for less than 26 minutes.
(2) 14.32% are between 26 and 32 minutes.
(3) 54.23% are between 26 and 40 minutes.
Step-by-step explanation:
We are given that the longest one-way travel time is in New York City, where the mean time is 38.5 minutes.
Assume the distribution of travel times in New York City follows the normal probability distribution and the standard deviation is 7.2 minutes.
Let X = travel times in New York City.
So, X ~ Normal(\(\mu=38.5,\sigma^{2} =7.2^{2}\))
The z-score probability distribution for the normal distribution is given by;
Z = \(\frac{X-\mu}{\sigma}\) ~ N(0,1)
where, \(\mu\) = population mean travel time = 38.5 minutes
\(\sigma\) = standard deviation = 7.2 minutes
(1) The percent of the New York City commutes that are less than 26 minutes is given by = P(X < 26 minutes)
P(X < 26 minutes) = P( \(\frac{X-\mu}{\sigma}\) < \(\frac{26-38.5}{7.2}\) ) = P(Z < -1.74) = 1 - P(Z \(\leq\) 1.74)
= 1 - 0.9591 = 0.0409 = 4.09%
The above probability is calculated by looking at the value of x = 1.74 in the z table which has an area of 0.9591.
(2) The percent of the New York City commutes that are between 26 and 32 minutes is given by = P(26 min < X < 32 min) = P(X < 32 min) - P(X \(\leq\) 26 min)
P(X < 32 min) = P( \(\frac{X-\mu}{\sigma}\) < \(\frac{32-38.5}{7.2}\) ) = P(Z < -0.90) = 1 - P(Z \(\leq\) 0.90)
= 1 - 0.8159 = 0.1841
P(X \(\leq\) 26 min) = P( \(\frac{X-\mu}{\sigma}\) \(\leq\) \(\frac{26-38.5}{7.2}\) ) = P(Z \(\leq\) -1.74) = 1 - P(Z < 1.74)
= 1 - 0.9591 = 0.0409
The above probability is calculated by looking at the value of x = 0.90 and x = 1.74 in the z table which has an area of 0.8159 and 0.881 respectively.
Therefore, P(26 min < X < 32 min) = 0.1841 - 0.0409 = 0.1432 or 14.32%.
(3) The percent of the New York City commutes that are between 26 and 40 minutes is given by = P(26 min < X < 40 min) = P(X < 40 min) - P(X \(\leq\) 26 min)
P(X < 40 min) = P( \(\frac{X-\mu}{\sigma}\) < \(\frac{40-38.5}{7.2}\) ) = P(Z < 0.21) = 0.5832
P(X \(\leq\) 26 min) = P( \(\frac{X-\mu}{\sigma}\) \(\leq\) \(\frac{26-38.5}{7.2}\) ) = P(Z \(\leq\) -1.74) = 1 - P(Z < 1.74)
= 1 - 0.9591 = 0.0409
The above probability is calculated by looking at the value of x = 0.21 and x = 1.74 in the z table which has an area of 0.5832 and 0.881 respectively.
Therefore, P(26 min < X < 40 min) = 0.5832 - 0.0409 = 0.5423 or 54.23%
after changing the amount of time he works Seth has begun earning a salary of $214,206 that is 5% less than before how much does Seth’s salary used to be
Answer:
seth's new old salary was $224,916
Step-by-step explanation:
You take 214,206 and multiply it by .05 which is 5%
you take the number u got from multiplying that and add it onto the existing "salary" which is $214,206 and 5% of 214,206 is 10,710. you then add that onto 214206 and u get ur answer. Hope this helped.
The zero product property indicates that if “ab = 0,” then ___?___ = 0 or ___?___ = 0. Substitute the correct variable for the question mark.
Select one:
a
b
a ; b
none of the above
Answer: a; b
Step-by-step explanation: Both answers are possibilities because 0a = 0 and 0b = 0. Hope this helps!
Please help if I don't finish this today my parents gonna take my phone away
Find the slope to solve the problem.
Sue drives 200 miles by 1:00 pm. She drives 350 miles by 4:00 pm if she continues at the same rate, how far will she drive by 5:00 pm?
To find the slope in this problem, we can use the formula for calculating slope, which is change in distance divided by change in time. In this case, the change in distance is 350 miles - 200 miles = 150 miles, and the change in time is 4:00 pm - 1:00 pm = 3 hours.
So, the slope (rate of driving) is 150 miles / 3 hours = 50 miles per hour.
Now, to find how far Sue will drive by 5:00 pm, we can use the slope and the additional time of 1 hour (from 4:00 pm to 5:00 pm).Distance driven by 5:00 pm = Slope * Time = 50 miles per hour * 1 hour = 50 miles.Therefore, Sue will drive an additional 50 miles by 5:00 pm, making her total distance driven by 5:00 pm 200 miles + 150 miles + 50 miles = 400 miles. So, Sue will drive 400 miles by 5:00 pm if she continues at the same rate. Note that in this problem, we are assuming that Sue maintains a constant speed throughout her drive. If her speed changes, the solution may be different.
How to tell if a graph is a function in algebra
Answer:
Inspect the graph to see if any vertical line drawn would intersect the curve more than once.
Step-by-step explanation:
If there is any such line, the graph does not represent a function. If no vertical line can intersect the curve more than once, the graph does represent a function.
The figure shown is composed of two cubes.
Which equation shows the surface area
ne figure?
SA = 6(5-5)+6(3-3)-2(3-3)
What is the surface area of
the figure shown?
cm²
3cm
5c
186 cm³ will be the surface area of the given figure.
To calculate the surface area of the given figure, we need to add the surface area of two cubes and reduce the area of the hidden part.
Thus,
Total surface area = Surface area of bigger cube + surface area of the smaller cube - 2* surface area of the hidden part.
So,
Total surface area = 6*(5*5)+6*(3*3)-2*(3*3)
Total surface area = 150+54-18
Total surface area = 186
Therefore, the surface area of the given figure will be 186 cm³.
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A CBS News/New York Times poll of 1,000 adults in the United States asked the question, "Do you think global warming will have an impact on you during your lifetime?" (CBS News website). Consider the responses by age groups shown below.
Given the information, the probability that a response is between the ages of 18 and 29 and 30 or older is, respectively, 0.536 and 0.654. There is a 0.265 percent chance that they will say yes—that global warming will affect them over their lifetime. Concern over global warming also seems to vary across people aged 18 to 29 and those over 30.
Define probability?Probability is the ratio of favourable events to all other potential outcomes in a circumstance. The symbol x can be used to denote how many successful outcomes there were in an experiment with 'n' outcomes. The formula below can be used to determine a given event's probability.
Positive Results/Total Results = x/n = Probability (Event)
The likelihood that a respondent between the ages of 18 and 29 believes that there will be no significant threat from global warming in his or her lifetime is:
P (18-29 and no) = 293/(134 + 293 + 117) = 0.536
The likelihood that a respondent who is 30 years of age or older believes that there will be no significant threat from global warming in his or her lifetime is:
P (30+ and no) = 432/(131 + 432 + 178) = 0.654
The likelihood that a randomly chosen respondent will select "yes"—that is, that they will experience the effects of global warming throughout their lifetimes—is:
P(Yes) = (134 + 131)/(134 + 131 + 293 + 432 + 117 + 178) = 0.265
Yeah, it does seem that younger people (18–29) are less concerned about global warming than older people (30+). In comparison to respondents aged 18 to 29, the likelihood that a respondent aged 30 or older believes that global warming will not constitute a severe hazard during their lifetime is higher (0.654). (0.536). According to this, respondents who are older are less concerned about global warming than respondents who are younger. To confirm this difference, a formal statistical test would be required.
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The complete question is:
Do you think global warming will have an impact on you during your lifetime? A CBS News/New York Times poll of 1000 adults in the United States asked this ques- tion (CBS News website, December, 2014). Consider the responses by age groups shown below Response Age 18-29 30+Yes 134 131No 293 432Unsure a. What is the probability that a respondent 18-29 years of age thinks that global warming will not pose a serious threat during his/her lifetime?b. What is the probability that a respondent 30+ years of age thinks that global warming will not pose a serious threat during his/her lifetime? c. For a randomly selected respondent, what is the probability that a respondent answers yes? d. Based on the survey results, does there appear to be a difference between ages 18-29 and 30+ regarding concern over global warming?
A local sorority sold hot dogs and bratwursts at the spring fling picnics. The first day they sold 8 dozen hotdogs and 13 dozen bratwursts for $330.00. The second day they sold 10 dozen hot dogs and 15 dozen bratwursts for a total of $390.00 how much did each cost?
Answer:
Hotdogs are $12.00 for the dozen or $1.00 each
Bratwursts are $18.00 for the dozen or $1.50 each
Step-by-step explanation:
What is the image point of (3,3)(3,3) after the transformation D_{5}\circ T_{0,-1}D
5
∘T
0,−1
?
The coordinates of image point is (15, 20)
How to determine the image pointA dilation is a transformation that changes the size of a figure but not its shape.
In a dilation with respect to the origin, a point (x, y) is transformed to a point (kx, ky) where k is a scale factor.
The transformation is given as
T<0, 1>D5
Mathematically, this
(x, y) = 5(x, y + 1)
So the image point is
(x, y) = 5(3, 3 + 1)
(x, y) = (15, 20)
So the image point of is (15, 20)
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