Answer:
The domain of the function is ( -2, -1, 0, 1, 5)
Step-by-step explanation:
The domain is referring to the x-values.
what is the distance between (-6, 2) and (-6, 9)
Answer:
Distance = 7 units
Step-by-step explanation:
We can find the distance between a set of points using the distance formula, which is
\(d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\), where
d is the distance,(x1, y1) are one point, and (x2, y2) is another point.Allowing (-6, 2) to be our (x1, y1) point and (-6, 9) to be our (x2, y2) point, we can plug these in and find the distance:
\(d=\sqrt{(-6-(-6))^2+(9-2)^2}\\ d=\sqrt{(-6+6)^2+(7)^2}\\ d=\sqrt{0^2+49}\\ d=\sqrt{49}\\ d=7\)
Although taking the square root of a number gives you both a negative and positive answer since squaring both a positive and negative answer yields a positive number (e.g., 2 * 2 = 4, but -2 * -2 also = 4), we cannot have a negative distance. Thus, the distance, d, between (-6, 2) and (-6, 9) is 7 units.
What is the volume? Of the storage chest?Find surface area of the chest
Surface area = 400 ft²
Volume = 448 ft³
Explanation:length = 4 ft
width = 8 ft
height = 14 ft
The storage chest is a rectangular prism in shape
We use volume of rectangular prism formula:
\(\text{Volume of rectangular prism = length }\times width\text{ }\times\text{ height}\)\(\begin{gathered} \text{Volume = 4ft }\times\text{ 8ft }\times\text{ 14 ft} \\ \text{Volume = }448ft^3 \end{gathered}\)Hence, the volume of the storage chest is 448ft³
Surface area of rectangular prism = 2(lw + hw + hl)
Surface area = 2(4 × 8 + 14 × 8 + 14 × 4)
Surface area = 2(32 + 112 + 56)
Surface area = 2(200)
Surface area = 400 ft²
Surface area of the chest = 400 ft²
*PLEASE ANSWER QUICK!!*
If 1/5 of a cup of sugar makes ½ of a dozen cookies, how much sugar would you need to make 48 cookies and why?
Answer:
It looks like you would need 8 1/5 cups of sugar to make all 48 cookies.
Step-by-step explanation:
Well, half a dozen is 6 so I did 48 divied by 6 which is 8.
Can someone help me work out the second and last one
Answer:
Step-by-step explanation:
first we arrange with alike Diameter and Mass
planet Diameter Mass
Mercury 4.88*10^3 3.3*10^{23}
Jupiter 143.00 *10^3 18980.0*10^{23}
Earth 12.08*10^3 59.7*10^{23}
Mars 6.78*10^3 6.42*10^{23}
Saturn 121.00*10^3 5680.0*10^{23}
a.
Greatest Mass:-Jupiter
b.
Diameter of Mercury=4.88*10^3=4880 Km.
radius of Mercury:-4880/2=2440 km
c.
Mass of Jupiter-Mass of Saturn
=18980*10^{23}-5680*10^{23}
=(18980-5680)*10^{23}
=13300*10^{23}
=1.33*10^{27} kg
That’s not answer I wanted
Answer:
umm i'm sorry i guess
Step-by-step explanation:
thnx for the points btw
Let f(x) = 5x + 4, g(x) = 4x + 3. Suppose that fog(x) = ax + b. Find a +b.
The value of a + b is 39. In this case, a = 20 and b = 19. To find a + b, we'll add the two values together:
a + b = 20 + 19 = 39. We need to find the composite function of g(x) and f(x), which is fog(x). fog(x) = f(g(x)) = 5(4x+3) + 4 = 20x + 19
Now, we can see that a = 20 and b = 19, so
a + b = 20 + 19 = 39
Therefore, the answer is 39. In summary, we found the composite function of g(x) and f(x) by plugging in g(x) into f(x) and simplifying. We then identified the values of a and b from the resulting expression and added them together to find the final answer of 39. To find the value of a + b for the composite function fog(x) where f(x) = 5x + 4 and g(x) = 4x + 3, we first need to find fog(x).
fog(x) is defined as f(g(x)). So, we will substitute g(x) into f(x):
fog(x) = f(4x + 3) = 5(4x + 3) + 4
Now, we'll distribute the 5 and simplify the expression:
fog(x) = 20x + 15 + 4
Combine the constant terms:
fog(x) = 20x + 19
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To paint a house, a painting company charges a flat rate of 500 for supplies plus $50 for each hour of labor. What is the slope of the line? Use the sketch tool if it helps you with your thinking.What is the meaning of the slope in this context?
Answer:
slope = $50
Step-by-step explanation:
Given the linear equation, y = mx + b:
The slope (m) is the rate of change for every x number of labor hours. What this implies is that whenever the input (x-value) or the number of labor hours increases or decreases, the value of y (total cost) will increase by the given slope value.
Slope: The painting company charges $50 for every 1 hour of labor.
The y-intercept (b) represents the flat rate or initial value. In the given problem, it states that the company charges $500 for supplies. This means that regardless of whether the company finishes working on the painting job, they will charge their customers the flat rate.
Combined, the linear equation will be:
y = 50x + 500
Please mark my answers as the Brainliest if you find my explanations helpful :)
which value is equivalent to 3^2+5x2-8
m BXA = 30° 20', m CXB = 40° 35'
m CXA
°
'
Answer:
Please make me brain list
Step-by-step explanation:
A group of people were asked “What time do you prefer to see a movie? The two way table below represents the results by their age.
Given
The data,
To find the probability that a person will be over 30 given they prefer afternoon movies.
Explanation:
Let A be the event that a person will be over 30 given they prefer afternoon movies.
Then,
\(\begin{gathered} n(S)=70 \\ n(A)=32 \end{gathered}\)Therefore,
\(\begin{gathered} P(A)=\frac{n(A)}{n(S)} \\ =\frac{70}{32} \\ =0.4571 \end{gathered}\)That implies, the percentage is,
\(\begin{gathered} Percentage=0.4571\times100 \\ =45.7\% \\ =46\% \end{gathered}\)Hence, the approximate probability is 46%.
The solution to an any quality is giving in the same building notation as The solution to an inequality is giving in the set builder notation as {x|x>2/3}. What is another way to represent the solution set?
Options
\((A)\left(-\infty , \dfrac23\right]\\\\(B)\left(-\infty , \dfrac23\right) \\\\(C)(\frac23\right, \infty ) \\\\(D) [\frac23\right, \infty )\)
Answer:
\((C)(\frac23\right, \infty )\)
Step-by-step explanation:
Given the solution to an inequality
{x|x>2/3}
The solution set does not include \(\dfrac23\) , therefore, it must be open at the left. Recall that we use a curvy bracket ( to denote openness at the left.
Since x is greater than \(\dfrac23\) , the solution set contains all values of larger than \(\dfrac23\) up till infinity. Since infinity is an arbitrarily large value, we also use an open bracket at the right.
Therefore, another way to represent the solution {x|x>2/3} is:
\((\frac23\right, \infty )\)
The correct option is C.
what is the value of x and y *don't simplify into decimal*
Answer:
x = 20
y = 20√2
Step-by-step explanation:
This is a 45 - 45 - 90° special right triangle
In a 45 - 45 - 90° triangle the legs are congruent and the hypotenuse = leg * √2
If one leg = 20 then the other leg also = 20
Thus, x = 20
If leg = 20
Then hypotenuse = 20 * √2 or 20√2
Thus, y = 20√2
The table shows the height of water in las pool as it is
being filled
Height of Water in a Pool
Time
(min)
2
4
6
8
10
Height
(in.)
8
12
16
20
24
The slope of the line through the points is 2. Which
statement describes how the slope relates to the height
of the water in the pool?
O The height of the water increases 2 inches per
minute
O The height of the water decreases 2 inches per
minute.
O The height of the water was 2 inches before any
water was added
The height of the water will be 2 inches when the
pool is filled
Please hurry will give brainliest
Write the inequality in slope intercept form.
2x-3y>9
Step-by-step explanation:
2x - 3y > 9
the target as slope intercept form is
y = ax + b (or any fitting inequality sign)
so, let's transform the original inequality
2x > 3y + 9
2x - 9 > 3y
2x/3 - 3 > y
or
y < 2x/3 - 3
the slope is 2/3 (always the factor of x). the y-intercept = -3.
PLS ANSWER IL GIVE U A LOT OF POINTS
A bakery sells 6 bagels for $2.99. What is the cost, in dollars, for 48 bagels?
A. $10.76
B. $13.16
C. $23.92
D. $37.08
Answer: $23.92
Step-by-step explanation:
First, we know that 6 bagels is $2.99.
48/6=8
This means that 6 is a multiple of 48, which makes it easier to solve.
$2.99 x 8 = 23.92
= $23.92
what is the mass to the nearest tenth of a gram of 3.50 moles of sodium metal?
Answer:
The mass of 3.5 moles of Ca (Sodium) is 140 g to two significant figures.
heLPPpp mEeEeEeEeeEeEeeEeEeEeEeee
Answer:
D. The slope is -2. The y-intercept is (0, 1).
Step-by-step explanation:
It is in slope- intercept form: y=mx+b
M is the slope
B is the y-intercept
Answer:
Use the slope-intercept form to find the slope and y-intercept.
Slope: −2
y-intercept: (0,1)
The z score associated with the highest 10% is closest to
a. .0398
b. .5398
c. 1.28
d. -1.28
The z score associated with the highest 10% is closest to: option (c) 1.28
-To find the z score associated with the highest 10%, first determine the percentage that corresponds to the lower 90%, since the z score table typically represents the area to the left of the z score.
- Look up the 0.90 (90%) in a standard normal distribution (z score) table, which will give you the corresponding z score.
-The z score closest to 0.90 in the table is 1.28, which corresponds to the highest 10% of values.
Therefore, the z score associated with the highest 10% is closest to 1.28.
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Does someone mind helping me with this? Thank you!
Susan purchased a prepaid phone card for $15. Long distance calls cost 14 cents a minute using this card. Susan used her card only once to make a long distance call. If the remaining credit on her card is $9.26, how many minutes did her call last?
Answer:
41 minutes
Step-by-step explanation:
Step one:
given data
Susan purchased a prepaid phone card for $15
let the number of minutes be x
and let the total be y
per minute call cost = 14 cents = $0.14 per minute
Hence the expression for the situation is given as
y= 15-0.14x
Step two:
given that the balance after a call is 9.26
9.26=15-0.14x
solve for x
9.26-15= -0.14x
5.74=0.14x
divide both sides by 0.14
x=5.74/0.14
x=41 minutes
Ryan has a big project to complete in science. He needs at
least 5 days to complete his project. Write an inequality to
describe the amount of days Ryan needs to complete his
project
Answer:
On which topic is he making?
Answer:
d ≥ 5Step-by-step explanation:
Let the number of days is d.
Required inequality is:
d ≥ 5The product of which expression contains four decimal places?
O 5.3478x6.4214
O 6.4x9.1
O 521x3.82
O 14.2x0.784
???
Answer:
45.2x0.784
Step-by-step explanation:
This problem equals 35.4368, which has four decimal points
the radius of a circle is increasing at a certain instant the rate of increase in the area of the circle is numericallt equa to twice the rate of increase in its circumference. what is the raduis of teh circle at that instant
So the radius of the circle at that instant is 1.
Let's call the radius of the circle at that instant "r."
The formula for the area of a circle is A = pi * r^2 and the formula for the circumference of a circle is C = 2 * pi * r.
If the rate of increase in the area of the circle is numerically equal to twice the rate of increase in its circumference, we can set up the following equation:
2 * (2 * pi * r) = (pi * r^2)
Solving this equation for r, we find that the radius of the circle at that instant is r = 1.
So the radius of the circle at that instant is 1.
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Two cars travel at the same speed to different destinations. Car A reaches its destination in 12 minutes. Car B reaches its destination in 18 minutes. Car B travels 4 miles farther than Car A. How fast do the cars travel? Write your answer as a fraction in simplest form.
Answer:
chatGPT
Step-by-step explanation:
Let's denote the speed of each car as v, and the distance that Car A travels as d. Then we can set up two equations based on the information given:
d = v * (12/60) (since Car A reaches its destination in 12 minutes)
d + 4 = v * (18/60) (since Car B travels 4 miles farther than Car A and reaches its destination in 18 minutes)
Simplifying the equations by multiplying both sides by 60 (to convert the minutes to hours) and canceling out v, we get:
12v = 60d
18v = 60d + 240
Subtracting the first equation from the second, we get:
6v = 240
Therefore:
v = 240/6 = 40
So the cars travel at a speed of 40 miles per hour.
. You have a job as a salesman. You make $15.00 an hour (h) plus a
commission of 5.5% on all of your sales (s). Create an equation that
will show your pay (p) based upon your hours (h) worked and sales
(s).
Answer:
wait what
Step-by-step explanation:
WRITE AN EQUATION Jim paid a gym membership fee of $50, plus $20 per month. Jim has paid a total of $290 to the gym. How many months has Jim been a member of the gym?
The equation representing Jim's total payment to the gym is $290 = $50 + ($20 * m), and solving for 'm', we find that Jim has been a member of the gym for 12 months.
To solve the problem, we need to set up an equation based on the information given.
Let's denote the number of months Jim has been a member of the gym as 'm'.
Jim paid a gym membership fee of $50, which is a one-time payment. Additionally, he pays $20 per month. The total amount Jim has paid to the gym is $290.
Based on this information, we can set up the equation:
Total amount paid = Membership fee + (Monthly fee * Number of months)
$290 = $50 + ($20 * m)
To solve for 'm', we need to isolate the variable 'm' on one side of the equation.
Subtracting $50 from both sides of the equation:
$290 - $50 = $20m
$240 = $20m
Finally, to find the value of 'm', we divide both sides of the equation by $20:
$240/$20 = m
12 = m
Therefore, Jim has been a member of the gym for 12 months.
In summary, by setting up an equation and solving for 'm', we find that Jim has been a member of the gym for 12 months.
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Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflection, and asymptotes. (If an answer does not exist, enter DNE.)
SHOW YOUR WORK-
f(x) = x5 − 5x
A. intercepts - (x,y)( smallest x-value)-?
(x,y)-?
(x,y)(largest x-value)-?
B. relative minimum -(x,y)-?
relative maximum- (x,y)-?
C. point of inflection -(x,y)-?
D. Find the equation of the asymptote- ?
E. Use a graphing utility to verify your results-?
The intercepts are (0, 0), (-√5, 0), and (√5, 0). The relative maximum is at (-1, 4), and the relative minimum is at (1, -4). The point of inflection is at (0, 0). There are no asymptotes.
To analyze the function f(x) = \(x^5\) - 5x, we can find intercepts, relative extrema, points of inflection, and asymptotes.
A. Intercepts:
To find the x-intercepts, we set f(x) = 0 and solve for x:
\(x^5\) - 5x = 0
x(\(x^4\) - 5) = 0
x = 0 (x-intercept at the origin)
\(x^4\) - 5 = 0
\(x^4\) = 5
x = ±√5 (two more x-intercepts)
The y-intercept occurs when x = 0:
f(0) = 0^5 - 5(0) = 0
So the y-intercept is (0, 0).
B. Relative Extrema:
To find the critical points, we take the derivative of f(x) and set it equal to zero:
f'(x) = 5\(x^4\) - 5 = 0
5\(x^4\) = 5
\(x^4\) = 1
x = ±1
To determine whether these are relative minima or maxima, we check the second derivative:
f''(x) = 20x³
When x = -1, f''(-1) = 20(-1)³ = -20 < 0, so there is a relative maximum at (x, y) = (-1, 4).
When x = 1, f''(1) = 20(1)³ = 20 > 0, so there is a relative minimum at (x, y) = (1, -4).
C. Point of Inflection:
To find the point(s) of inflection, we set the second derivative equal to zero:
20x³ = 0
x = 0
D. Asymptotes:
The function f(x) = \(x^5\) - 5x does not have any asymptotes.
E. Graphing Utility:
Using a graphing utility, we can plot the function f(x) = \(x^5\) - 5x and verify the results obtained above.
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-8c-18=-3(c-4)
solve for c
Answer:
c= -6
Step-by-step explanation:
1) expand the equation to -8c-18=-3c+12
2) add 18 to both sides which then makes it -8c=-3c+30
3) add 3c to both sides which makes it -5c=30
4) then divide by -5 which makes it c=-6
What type of statistic would the professor use to determine if the difference in exam averages between the samples provides convincing evidence of a difference between the time of day, or if the difference is just chance?
The professor would use a hypothesis test, specifically a test for the difference in means, to determine if the difference in exam averages between the samples provides convincing evidence of a difference between the time of day or if the difference is just due to chance.
Hypothesis testing is a statistical technique used to make inferences about a population based on sample data. In this scenario, the professor wants to determine if there is a significant difference in exam averages between different times of the day.
To conduct the hypothesis test, the professor would start by stating two competing hypotheses: the null hypothesis (H₀) and the alternative hypothesis (H₁). The null hypothesis typically assumes that there is no difference between the groups or conditions being compared, while the alternative hypothesis suggests that there is a difference.
In this case, the null hypothesis could be that there is no difference in exam averages between different times of the day. The alternative hypothesis would then state that there is a significant difference in exam averages based on the time of day.
Next, the professor would collect sample data from different times of the day and calculate the exam averages for each sample. Then, a suitable statistical test, such as a t-test or ANOVA (Analysis of Variance), would be applied to compare the means of the different samples.
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