Hey there! :)
Answer:
f(15) = 29 ft.
Step-by-step explanation:
We can write an arithmatic equation for this pattern:
Where:
[tex]n_{1}[/tex] = 1, [tex]n_{2}[/tex] = 3
Find the rate of change. This is constant because this is an arithmatic sequence.
3 - 1 = 2.
We can begin to write an explicit function for this situation:
f(n) = [tex]n_{1}[/tex] + d(n-1) where d is the rate of change:
f(n) = 1 + 2(n-1)
Substitute 15 for n to solve for the distance traveled after 15 seconds:
f(15) = 1 + 2(15-1)
f(15) = 1 + 2(14)
f(15) = 1 + 28
f(15) = 29 ft.
Therefore, the distance traveled after 15 seconds is 29 ft.
Write -1/19,7/4,-4/7 in order from least to greatest
Answer:
-1/19,-4/7,7/4
Step-by-step explanation:
first, you divide -1 by 19, which should give you -.0526
then, you divide -4 by 7, which should give you -.5714
after that, you divide 7 by 4, which should give you 1.75
the lesser numbers would be negative, since they are to the left of 0 and positives are to the right.
these steps should give you your answer, which is located above.
Sandy evaluated the expression below. (negative 2) cubed (6 minus 3) minus 5 (2 + 3) = (negative 2) cubed (3) minus 5 (5) = 8 (3) minus 25 = 24 minus 25 = negative 1 What was Sandy’s error?
Answer:
should be - 8
Step-by-step explanation:
-2*-2=4 4*-2=-8
Answer:
Sandy should have evaluated (negative 2) cubed as –8.
Step-by-step explanation:
Got it right on the test
How is copying line segment similar to copying an angle?
Answer:
In terms of construction, copying a line segment and an angle requires a fixed compass width as a basic tool
Step-by-step explanation:
The basic similarity is in both constructions, or copies is that we are going to use the same compass width in each case as the basic tool to copy a line segment or an angle.
hope this helpes
be sure to give brainliest
Answer:
An angle is form by two rays and the two line segment share a common points and we utilize a straightedge for drawing the comparative figure on paper.
At that point, utilize the straightedge and the compass used to copy this type of figure precisely. To duplicate the given figure, we should copy line as well as angle.
The line of segment are basically formed by adjusting the compass and makes it equal to the line segment length and then copy each point in the figure.
WILL MARK BRAINIEST IF CORRECT!!!! Select the correct answer. This table represents a function. Is this statement true or false?
Answer:
true
Step-by-step explanation:
doesn't over lap each other
A committee is to consist of two members. If there are five men and six women
available to serve on the committee, how many different committees can be
formed?
Answer: The number of different committees can be formed = 55.
Step-by-step explanation:
Given: Number of members in a committee = 2
There are five men and six women available to serve on the committee.
That means, Total persons available to serve on the committee = 5+6=11
Number of combinations of choosing r things from n things is given by:-
[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]
So, the number of ways to choose 2 members out of 11 = [tex]^{11}C_2=\dfrac{11!}{2!9!}[/tex]
[tex]=\dfrac{11\times10}{2}=55[/tex]
Hence, the number of different committees can be formed = 55
Use a graphing calculator to approximate the vertex of the graph of the parabola defined by the following equation. y = x squared + x + 6 a. (0.5, -5.75) c. (-0.5, 6) b. (-0.5, 5.75) d. (0.5, 5.75) Please select the best answer from the choices provided A B C D
Answer:
B. (-0.5, 5.75)
Step-by-step explanation:
Use a graphing calc and analyze the graph for the minimum value (vertex).
Find the expression for h (x)
Answer:
We have this original function given:
[tex] g(x) =-x^2 +5[/tex]
And we want to transtale vertically downward 4 units this function and we will get the new fnction h(x) and on this case we have to do this transformation:
[tex] h(x)= g(x) -4[/tex]
And replacing we got:
[tex] h(x) = -x^2 +5 -4 =-x^2 +1[/tex]
Step-by-step explanation:
We have this original function given:
[tex] g(x) =-x^2 +5[/tex]
And we want to transtale vertically downward 4 units this function and we will get the new fnction h(x) and on this case we have to do this transformation:
[tex] h(x)= g(x) -4[/tex]
And replacing we got:
[tex] h(x) = -x^2 +5 -4 =-x^2 +1[/tex]
The critical value t* gets larger as the confidence level increases. True or false?
Answer:
We can find the critical value [tex]t_{\alpha/2}[/tex]
And for this case if the confidence increase the critical value increase so then this statement is True
Step-by-step explanation:
For a confidence level given c, we can find the significance level like this:
[tex] \alpha=1 -c[/tex]
And with the degrees of freedom given by:
[tex] df=n-1[/tex]
We can find the critical value [tex]t_{\alpha/2}[/tex]
And for this case if the confidence increase the critical value increase so then this statement is True
What is the discrimination of this function !! Please help
Answer:
Option C is correct.
The discriminant of the function is negative since the function doesn't have real roots as evident from the graph.
Step-by-step explanation:
The discriminant of a quadratic equation is the part of the quadratic formula underneath the square root symbol, that is, (b² - 4ac).
The discriminant tells us whether there are two solutions, one solution, or no solutions.
- When the discriminant is positive or greater than zero, that is, (b² - 4ac) > 0, the quadratic function has 2 real distinct roots.
- When the discriminant is equal to zero, that is, (b² - 4ac) = 0, the quadratic function has 1 repeated root.
- When the discriminant is negative or lesser than zero, that is, (b² - 4ac) < 0, the quadratic function has no real roots.
For this question, the graph of the quadratic function shows that it doesn't have real roots (this is evident because the graph doesn't cross the x-axis), hence, the duscriminant of this quadratic function has to bee negative.
Hope this Helps!!!
PLSS I NEED HELP I NEED HELP SOMEONE SAVE ME
Answer:
sorry but are you dyin why do u need help why do you need someone to save you just say i need answers to this equation pls
Will give brainliest, someone please help
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▹ Answer
Area = 9
▹ Step-by-Step Explanation
A = b * h ÷ 2
A = 9 * 2 ÷ 2
A = 9
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
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linear equation: y = 5x + 6
quadratic equation: y = x^2 +7x - 18
Show all work to solving your system of equations algebraically.
Answer:
(4, 26)
(-6, -24)
Step-by-step explanation:
Step 1: Substitution
5x + 6 = x² + 7x - 18
Step 2: Move everything to one side
0 = x² + 2x - 24
Step 3: Factor
(x - 4)(x + 6) = 0
Step 4: Find roots
x = 4, -6
Step 5: Plug in x to find y
y = 5(4) + 6
y = 20 + 6
y = 26
y = 5(-6) + 6
y = -30 + 6
y = -24
can someone help me with this please??! it would mean a lot
Answer:
Its 2.4, glad to help ya out!
Step-by-step explanation:
Remember v/pi times r squared
Tublu buys a cylindrical water tank of height 1.4m and diameter 1.1m to catch rainwater off his roof. He has a full 2 liter tin of paint in his store and decides to paint the tank (not the base). If he uses 250ml to cover 1m^2, will he have enough paint to cover the tank with one layer of paint? ( Take π = 3.142)
Answer:
There is enough paint to cover the tank with one layer of paint.
Step-by-step explanation:
Given the cilindrical configuration of the tank and supposing that only external face must be painted, the surface area of the section (lateral wall + lid) can be calculated by the following expression:
[tex]A_{s} = 2\pi\cdot r\cdot h + \pi\cdot r^{2}[/tex]
Where [tex]r[/tex] and [tex]h[/tex] represent the radius and the height of the cube, respectively.
If [tex]r = 0.55\,m[/tex] (a diameter is two times the length of radius) and [tex]h = 1.4\,m[/tex], the intended surface area is:
[tex]A_{s} = 2\pi\cdot (0.55\,m)\cdot (1.1\,m)+\pi\cdot (0.55\,m)^{2}[/tex]
[tex]A_{s} \approx 4.751\,m^{2}[/tex]
It is known that 250 mL of paint are needed to cover a square meter of the surface area, the needed amount of paint to cover the required area is estimated by simple rule of three:
[tex]Q = \frac{4.751\,m^{2}}{1\,m^{2}}\times (250\,mL)[/tex]
[tex]Q = 1187.75\,mL\,(1.188\,L)[/tex]
In consequence, there is enough paint to cover the tank with one layer of paint.
What is the value of the 7 in the number 0.873?
Write your answer as a fraction.
Answer: 7/100
Step-by-step explanation:
In this question, ignore the 8 and the 3 and focus on the 7. Isolate it and you will get 0.07. 0.07 in fraction from is 7/100.
The place value of 7 in the decimal number 0.873 is in the hundredth place thus it will be 7/100 or 0.07.
What is a number system?The number system is a way to represent or express numbers.
A decimal number is a very common number that we use frequently.
Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.
Given the decimal,
0.873
8 → Tenth place (Fraction value 8/10)
7 → Hundredth place(Fraction value 7/100)
3 → Thousandth place (Fraction value 3/1000)
Since 7 is at hundredth place thus it will be 7/100.
Hence "The place value of 7 in the decimal number 0.873 is in the hundredth place thus it will be 7/100 or 0.07".
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Compute the determinants using a cofactor expansion across the first row. Also compute the determinant by a cofactor expansion down the second column.
[ 0 4 1
5 −3 0
2 3 1 ]
Answer:
The determinant is 1Step-by-step explanation:
Given the 3* 3 matrices [tex]\left[\begin{array}{ccc}0&4&1\\5&-3&0\\2&3&1\end{array}\right][/tex], to compute the determinant using the first row means using the row values [0 4 1 ] to compute the determinant. Note that the signs on the values on the first row are +0, -4 and +1
Calculating the determinant;
[tex]= +0\left[\begin{array}{cc}-3&0\\3&1\\\end{array}\right] -4\left[\begin{array}{cc}5&0\\2&1\\\end{array}\right] +1\left[\begin{array}{cc}5&-3\\2&3\\\end{array}\right] \\\\= 0 - 4[5(1)-2(0)] +1[5(3)-2(-3)]\\= 0 -4[5-0]+1[15+6]\\= 0-20+21\\= 1[/tex]
The determinant is 1 using the first row as co-factor
Similarly, using the second column [tex]\left[\begin{array}{c}4\\-3\\3\end{array}\right][/tex] as the cofactor, the determinant will be expressed as shown;
Note that the signs on the values are -4, +(-3) and -3.
Calculating the determinant;
[tex]= -4\left[\begin{array}{cc}5&0\\2&1\\\end{array}\right] -3\left[\begin{array}{cc}0&1\\2&1\\\end{array}\right] -3\left[\begin{array}{cc}0&1\\5&0\\\end{array}\right] \\\\= -4[5(1)-2(0)] - 3[0(1)-2(1)] -3[(0)-5(1)]\\= -4[5-0] -3[0-2]-3[0-5]\\= -20+6+15\\= -20+21\\= 1[/tex]
The determinant is also 1 using the second column as co factor.
It can be concluded that the same value of the determinant will be arrived at no matter the cofactor we choose to use.
Yesterday in Juneau, Alaska it was -20 degrees and in San Diego, California it was 75 degrees. What was the difference in temperature between these two cities?
Select one:
a. -20 degrees
b. 55 degrees
c. 75 degrees
d. 95 degrees
Answer: d) 95 degrees
Step-by-step explanation:
To find this solution, simply subtract -20 from 75, to get 95. In reality, you would take the absolute value of one temperature - another, but all you need to remember is to always subtract the smaller temperature from the larger.
Answer:
95 degrees(answer d)
Step-by-step explanation:
when you have a negative temp. and a positive temp., you add the two numbers to find the difference.
that means, 20+75=95 degrees(take away the negative sign when adding only.)
That means the difference between the two temperatures is 95 degrees.
Mount Whitney is 3072 m tall convert the height to kilometers
Answer:
3.072km
Step-by-step explanation:
[tex]3072m*(\frac{1km}{1000m} )=3.072km[/tex]
246,000 in scientific notation
Answer:
246000 in scientific notation is 2.46e5, or 2.46 x 10^5
Step-by-step explanation:
246000, move the decimal place 5 places to the left.
2.4x10^5
Answer:
2.46 × 10⁵
Step-by-step explanation:
The decimal point is after the first non-zero digit.
⇒ 2.46
Multiply the number with base 10 and an exponent which will equal to 246,000.
⇒ 10⁵
Find the slope of the line on the graph. Write your answer as a fraction or a whole number, not a mixed number or decimal.
Answer:
-4/8
Step-by-step explanation:
Using rise over run would give you -4/8. Since the rise is going downward four times the number would be negative. Since the run is going to the right 8 times it would be positive.
Answer: the slope is -1/2
Step-by-step explanation: The rise is -4. Easy to see from the y-intercept, 4 below the origin. The run is 8, again easy to see from the distance between the x-intercept at -8, 8 unite away from the origin.
So slope = rise/run -4/8 simplify (by LCM, 4) So you get slope = -1/2
When graphing the inequality y ≤ 2x − 4, the boundary line needs to be graphed first. Which graph correctly shows the boundary line? A.) Picture 1 B.) Picture 2 C.) Picture 3 D.) Picture 4
Option A.) Picture 1 is correct
in the problem inequality y ≤ 2x − 4 is given
Right graph for boundary line has been asked.
Inequality can be defined as the relation of the equation contains the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
For the boundary line
y ≤ 2x − 4 this equation transform into
y= 2x-4
above equation is the boundary condition for the given inequality
so in picture one the the dotted line shows the information of equation
y= 2x-4.
Thus, the boundary condition for inequality y ≤ 2x − 4 is in picture 1
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Solve these equations using elimination not substitution? 8x + 3y = 13 3x + 2y = 11 15 Points!
Answer:
x = -1, y = 7
Step-by-step explanation:
8x + 3y = 13
3x + 2y = 11
Multiply the first equation by -2 and the second equation by 3. Then add them.
-16x - 6y = -26
(+) 9x + 6y = 33
--------------------------
-7x = 7
x = -1
Now substitute x = -1 in the first original equation and solve for y.
8x + 3y = 13
8(-1) + 3y = 13
-8 + 3y = 13
3y = 21
y = 7
Answer: x = -1, y = 7
The average weight of men between the ages of 40-49 is 202.3 pounds with a standard deviation of 50.7 pounds. Find the probability that a man in this age group is under 180 pounds if it is known that the distribution is approximately normal. Group of answer choices
Answer:
33% probability that a man in this age group is under 180 pounds
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question:
[tex]\mu = 202.3, \sigma = 50.7[/tex]
Find the probability that a man in this age group is under 180 pounds if it is known that the distribution is approximately normal.
This is the pvalue of Z when X = 180.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{180 - 202.3}{50.7}[/tex]
[tex]Z = -0.44[/tex]
[tex]Z = -0.44[/tex] has a pvalue of 0.33
33% probability that a man in this age group is under 180 pounds
In which function is x = 2 mapped to 32?
f (x) = Negative 3 x squared minus 4
g (x) = 4 (x + 3) squared minus 68
h (x) = 3 x
j (x) = 2x minus 62
Answer:
B
Step-by-step explanation:
Took the test edge2021
The function g(x) = 4(x + 3)² - 68 is the function which is mapped to 32 at x = 2 option (B) g(x) = 4(x + 3)² - 68 is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
A function which is at x = 2 mapped to 32
The above statement means that at x = 2
The value of the function will be 32
The given functions:
f(x) = -3x² - 4
Plug x = 2
f(2) = -3(2)² - 4
f(2) = -16
g(x) = 4(x + 3)² - 68
Plug x =2
g(2) = 4(2 + 3)² - 68
g(2) = 100 - 68
g(2) = 32
Thus, the function g(x) = 4(x + 3)² - 68 is the function which is mapped to 32 at x = 2 option (B) g(x) = 4(x + 3)² - 68 is correct.
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Maurice shot 2 under par, or -2, on each of the first 4 holes of golf. What is his score with respect to par after the fourth hole?
Answer: -8
Step-by-step explanation: If he scored -2 four times then his score would be -8 (-2×4).
I Honestly dont understand all of these that have to do with right angles, tangent lines, and secant lines. can i please get some help.
Answer:
110°
Step-by-step explanation:
m arc DB=140°
m arc BCD=360-140=220°
∠ A=1/2×220=110° (∵angle at the circumference=1/2 angle at the center.)
You were hired as a geotechnical engineer in the XYZ Construction company. Your boss has asked you to estimate the settlement of a new building project that your firm just won the bid. Based on your extensive knowledge on geotechnical engineering and statistical analysis, you estimate that the settlement of the building will not exceed 2 inches with 95% probability. From a record of performance of many similar structures built on similar soil conditions, you also find that the coefficient of variation of the settlement is 20%. After showing the calculation to your boss, she still has few concerns about the settlement.
Requried:
Assuming a normal distribution is used to model the settlement of this project, your boss asks you to give her the probability that this building will settle more than 2.5 inches
Answer:
Probability = 0.10565
Step-by-step explanation:
Given:
Mean, u = 2
x = 2.5
CV = 20% = 0.2
To find standard deviation [tex] \sigma[/tex] use the formula:
[tex] CV = \frac{\sigma}{u} [/tex]
[tex] 0.2 = \frac{\sigma}{2} [/tex]
[tex] \sigma = 0.2 * 2 [/tex]
[tex] \sigma = 0.4 [/tex]
Find Z, using the formula:
[tex] Z = \frac{x - u}{\sigma} [/tex]
[tex] Z = \frac{2.5 - 2}{0.4} [/tex]
[tex] Z = \frac{0.5}{0.4} [/tex]
[tex] Z = 1.25 [/tex]
Using the p value table,
P(x > 1.25) = 0.10565
Therefore, The probability that this building will settle more than 2.5 inches is 0.10565
How do you find the surface area of a triangle? A square?
Answer:
The area formula of a triangle is (base * height) / 2 and the area of a square is s² where s is the length of one side.
Question 21 of 39
Which of the following situations may be modeled by the equation y = 2x+20
?
A. Carlos has written 18 pages of his article. He plans to write an
additional 2 pages per day
B. Don has already sold 22 vehicles. He plans to sell 2 vehicles per
week
C. Martin has saved $2. He plans to save $20 per month
D. Eleanor has collected 20 action figures. She plans to collect 2
additional figures per month
SI
The correct answer is D. Eleanor has collected 20 action figures. She plans to collect 2 additional figures per month
Explanation:
The purpose of using an equation is to express mathematically a situation or relation. This involves understanding accurately how factors or numbers relate. According to this, the equation y = 2x + 20 fits with the situation described in D because this equation can be used to calculate the number of books Eleanor has as y is the total; 2 is the number of new books per month; x the number of months; and 20 books Eleanor already has.
Also, the number of months is multiplied by 2, and this is added to 20 which equals the total number of books. For example, after three months the total of books would be 26 considering y (total of books) = 2 x 3 (months) + 20 ⇒ 26 books.
At a particular chess club, it is quite common for a chess game to take over two hours to complete. Suppose that the lengths of these games are normally distributed with a mean of 153 minutes and a standard deviation of 45 minutes. Games which last in the longest 1% of all contests are given special recognition on an "Endurance Board" for all club members to see. How long would a game need to last to qualify for the "Endurance Board?"
Answer:
A game would need to be at least 257.67 minutes long to qualify for the Endurance Board.
257.67 minutes = 257 minutes, 40 seconds = 4 hours, 17 minutes, 40 seconds.
Step-by-step explanation:
Games that are given special recognition on the Endurance Board are the games that last in the longest 1% of all games.
If X is the random variable that represents the time a chess game takes before it is completed.
X is said to be normally distributed with
Mean = μ = 153 minutes
Standard deviation = σ = 45 minutes
Let games that last the longest 1% of the time last for a minimum of x' minutes.
P(X > x') = 1% = 0.01
P(X ≤ x') = 1 - P(X > x') = 1 - 0.01
P(X ≤ x') = 0.99
Indicating that such games are longer than 99% of all chess games.
This is a normal distribution problem
Let the z-score for these type of longest games with a minimum duration of x' minutes be z'.
P(X ≤ x') = P(z ≤ z') = 0.99
From the normal distribution table, z' = 2.326
z-score of any value is given as the value minus the mean divided by the standard deviation.
z = (x - μ)/σ
So,
z' = (x' - μ)/σ
2.326 = (x' - 153)/45
x' = (2.326×45) + 153
x' = 104.67 + 153 = 257.67 minutes = 257 minutes, 40 seconds.
Hope this Helps!!!