Answer:
y ≤ 3x
y > - 2x - 1
(1st choice)
Step-by-step explanation:
Through: (-1,-2), slope=-5/2
now, assuming it's asking for its equation.
\((\stackrel{x_1}{-1}~,~\stackrel{y_1}{-2})\hspace{10em} \stackrel{slope}{m} ~=~ - \cfrac{5}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-2)}=\stackrel{m}{- \cfrac{5}{2}}(x-\stackrel{x_1}{(-1)}) \implies y +2 = - \cfrac{5}{2} ( x +1) \\\\\\ y+2=- \cfrac{5}{2}x-\cfrac{5}{2}\implies y=- \cfrac{5}{2}x- \cfrac{5}{2}-2\implies {\Large \begin{array}{llll} y=- \cfrac{5}{2}x- \cfrac{9}{2} \end{array}}\)
Find the volume for the regular pyramidA) 6 cu. units B)12 cu. units C)4 cu. units
Volume of a regular pyramid = (1/3) Base x Height
Base = ?
Height = ?
If three standard, six-faced dice are rolled, what is the probability that the sum of the three numbers rolled is 9
When three standard six-faced dice are rolled, the probability that the sum of the three numbers rolled is 9 is equal to 10/216 or 5/108.
Total number of ways three dice can be rolled = 6 × 6 × 6 = 216.
Each dice can have any number from 1 to 6. The probability of rolling a particular number on a dice = 1/6.
The probability of rolling a particular number on three dice = (1/6) × (1/6) × (1/6) = 1/216.
In order to get a sum of 9, there are four combinations that can be rolled:
3 + 3 + 3 = 9
3 + 4 + 2 = 9
3 + 5 + 1 = 9
4 + 3 + 2 = 9
The probability of rolling any of these combinations = probability of rolling 3-3-3 + probability of rolling 3-4-2 + probability of rolling 3-5-1 + probability of rolling 4-3-2
= (1/216) + (3/216) + (3/216) + (3/216)
= 10/216 or 5/108.
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Given f(x)=x*-x³-6x², for what values of x will f(x) > 0?
The values of x will f(x) > 0 for x < 0, and f(x) < 0 for -6 < x < 0 and x > -6.
To determine the values of x for which f(x) > 0, we need to find the intervals where the function is positive. Let's analyze the function f(x) = x*-x³-6x².
First, let's factor out an x from the expression to simplify it: f(x) = x(-x² - 6x).
Now, we can observe that if x = 0, the entire expression becomes 0, so f(x) = 0.
Next, we analyze the signs of the factors:
1. For x < 0, both x and (-x² - 6x) are negative, resulting in a positive product. Hence, f(x) > 0 in this range.
2. For -6 < x < 0, x is negative, but (-x² - 6x) is positive, resulting in a negative product. Therefore, f(x) < 0 in this range.
3. For x > -6, both x and (-x² - 6x) are positive, resulting in a negative product. Thus, f(x) < 0 in this range.
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The prism shown in the diagram has a volume of 39 units^3. What is the volume of the pyramid? Explain your reasoning. I WILL GIVE BRAINLIEST ASAP FOR A QUICK ANSWER
The volume of the pyramid is 13 units³.
What is the volume of the pyramid?
A pyramid is a 3-dimensional shape that is made up of a rectangular base and 4 triangular faces. The volume of a pyramid is one-third that of a prism.
Volume of a pyramid = 1/3 x prism
1/3 x 39 = 13
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how to calculate hyperboloid of one sheet?
The equation of hyperboloid of one sheet: \(\frac{x^{2} }{A^{2} } +\frac{y^{2} }{B^{2} } -\frac{z^{2} }{C^{2} } =1\) which is used to calculate hyperboloid.
The most challenging quadric surface is probably the hyperboloid of a single sheet. For starters, it is puzzling since its equation is quite similar to that of a hyperboloid with two sheets. For information on how to tell them apart, see to the section on the two-sheeted hyperboloid. Its cross portions are also highly intricate equation.
Having said all of that, everyone who has watched The Simpsons, even for the first time, will recognize this form. One-sheet hyperboloids have a striking resemblance to Springfield Nuclear Power Plant cooling towers.
The cross sections of a straightforward one-sheeted hyperboloid with A = B = C = 1.
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There was a population of 80 fish in a National Park. After a year, the population increased by 5%. How many fish are there in the park now?
Answer Its 84
Step-by-step explanation:
80 plus 5% equals 84%
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Find the sum of the arithmetic sequence.
-10, -7, -4, -1, 2, 5, 8
Answer:
s7= -7
Step-by-step explanation:
ch02 04 given wins = a0 a1 x population e1 . what is the regression term that describes a0 in the equation?
a0 is the regression term that describes the constant or intercept in the linear regression equation.
In a simple linear regression model, the equation takes the form of y = a0 + a1x + e1, where y is the dependent variable (or response variable), x is the independent variable (or predictor variable), a0 is the intercept or constant term, a1 is the coefficient of the independent variable, and e1 is the error term.
The intercept term, a0, represents the value of the dependent variable when the independent variable is zero. For example, in a linear regression model that predicts salary based on years of experience, the intercept would represent the starting salary for someone with zero years of experience. The intercept is an important component of the regression equation because it allows us to make predictions for values of x that are outside the range of our observed data.
The coefficient, a1, represents the change in the dependent variable for each one-unit increase in the independent variable. In the salary example, the coefficient would represent the average increase in salary for each additional year of experience.
Both the intercept and coefficient are estimated from the data using methods such as least squares regression. Once these values are estimated, we can use them to make predictions for new values of x.
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49.012 4 is the underlined digit
The place value of 4 in 49.012.
How to calculate the information?It should be noted that place value is simply used to know the value of a number based on how the number is arranged.
In this case, the place value of 4 in 49.012 is 4 tens.
It should be noted that 4 tens is also the same thing as 40.
Therefore, the correct option is 40.
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6.7 x 10 to the power of 1
Answer:
61 hope this helps
Step-by-step explanation:
Does the triangle inequality theorem apply to all equilateral triangles?
Yes, triangle inequality theorem apply to all equilateral triangles.
Describe Triangle inequality theorem:The triangle inequality theorem explains the relation between a triangle's three sides. This theorem states that for any triangle, the sum of the lengths of the first two sides is always greater than the length of the third side. In other terms, this theorem states that a straight line is always the shortest distance between any two places.
So Triangle inequality theorem is not only valid for all equilateral traingles but it is valid for all traingles.
A Triangle is only formed is if follows Triangle inequality theorem so every equilateral triangle needs to follow this theorem.
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11.5 is what percent of 8? Round to the nearest tenth.
Answer:
143.8% is the answer
6x^2+12x+y+13=0 vertex form
The Vertex form of the equation 6x²+12x+y+13=0 is y = -6(x+1)²-7
The vertex form of the equation y=ax²+bx+c can be written as
y = a(x-h)²+k
where h= -b/2a ,
and k = ah²+bh+c
In the question ,
the equation is given as
6x²+12x+y+13=0
Rewriting the equation , we get
y = -6x²-12x-13
So , the value of a = -6 , b = -12 and c = -13
Substituting the values , to find h ,
we get
h = -(-12)/2(-6)
h = 12/(-12)
h = -1
Substituting the value of h, a, b, c in the formula of k ,
we get ,
k = -6(-1)² -12(-1) -13
= -6*1 +12 -13
= -6 -1
= -7
Substituting the value of h and k to find the vertex form of the equation we get ,
y = -6(x+1)² -7
Therefore , the vertex form of the equation 6x²+12x+y+13=0 is
y = -6(x+1)²-7
The given question is incomplete , the complete question is
Find the vertex form of 6x²+12x+y+13=0 .
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How many groups of 12 day are in 1 week?
Answer:
none
Step-by-step explanation:
because its an impossible.
The table shows elevations at various locations.
A 3-column table with 4 rows. Column 1 is labeled Location with entries Death Valley, Lake Eyre, Western Sahara, Salton Sea. Column 2 is labeled Country with entries United States, Australia, Egypt, United States. Column 3 is labeled Elevation (meters) with entries negative 86, negative 15, negative 55, negative 69.
If you plotted the elevations on a vertical number line, which elevation would be farthest from 0?
Death Valley
Lake Eyre
Western Sahara
Salton Sea
Answer:
The answer is A.
Answer: Death Valley
Step-by-step explanation: :D
50 points! Describe the possible values of x in the figure shown. I will mark brainliest
Answer:
x > 14Step-by-step explanation:
Use the triangle inequality which states that for any triangle, the sum of the lengths of any two sides must be greater than to the length of the remaining side.
FH < FG + GH ⇒ 2x + 31 < 2x + 1 + x + 16 ⇒ x > 14FG < FH + GH ⇒ 2x + 1 < 2x + 31 + x + 16 ⇒ x > - 46GH < FH + FG ⇒ x + 16 < 2x + 31 + 2x + 1 ⇒ x > - 16/3Combine the above three inequalities:
x > 14Answer:
\(x > 14\)
Step-by-step explanation:
By triangle inequality;
\(2x + 1 + x + 16 > 2x + 31 \\ 2x + x - 2x > 31 -17 \\ x > 14\)
The possible values of x is any number above 14, that is, x=[ 15, 16, 17, 18, .....}, if x is integer.
The ordered pairs shown below represent a relation. (3, 2) (5, 1) (6, 0) (4, 4) (5,2) Which number is not in the domain of the relation?
a2
b3
c4
d5
Answer:
d) 5
Step-by-step explanation:
we can observe that the x-value 5 appears twice in the relation. However, in a function or a relation, each x-value should only have one corresponding y-value. Therefore, the repetition of (5, 1) and (5, 2) indicates an inconsistency or ambiguity in the relation. As a result, 5 is not a valid x-value in the domain.
What is the multiplicative inverse of 7/6
Answer:
\(\frac{6}{7}\)
Step-by-step explanation:
Given a number n then the multiplicative inverse is \(\frac{1}{n}\)
Thus
the multiplicative inverse of \(\frac{7}{6}\) is \(\frac{1}{\frac{7}{6} }\) = \(\frac{6}{7}\)
Kayleen is using ribbon to wrap gifts. She cut her ribbon into four 16-inch pieces. After she cut the ribbon, there was a piece left over that was 5 inches long. How long was the ribbon before Kayleen cut it?
Answer:
69 inches
Step-by-step explanation:
The first four parts were each 16 inches, and the remaining fifth part was 5 inches long, so the total length of the ribbon before Kayleen cut it was (16*4)+5 = 64+5 = 69 inches (nice)
If frank have 395 marbles he putting in putting 22 in each bag how many marbles will he have in the bags that is not full
Answer:
21 bags are not full.
Step-by-step explanation:
Given that,
Total no. of marbles = 395
He is putting 22 marbles in each bags.
We need to find the number of marbles will he have in the bags that is not full. It can be calculated by dividing total no. of marbles and the no. of marbles in each bags.
\(x=\dfrac{395}{22}\\\\=17.95\\\\\text{or}\\\\=17\dfrac{21}{22}\)
So, it means 17 bags are full but 21 bags are not full.
The following labor standards have been established for a particular product: Standard labor-hours per unit of output 8.4 hours Standard labor rate $12.20 per hour The following data pertain to operations concerning the product for the last month: Actual hours worked 6,200 hours Actual total labor cost $73,160 Actual output 950 units What is the labor efficiency variance for the month
The labor efficiency variance for the month can be calculated by comparing the standard labor hours allowed for the actual output to the actual labor hours worked. The labor efficiency variance for the month is 1,780 hours.
The labor efficiency variance is a measure of the efficiency of labor utilization in the production process. It reflects the difference between the standard labor hours allowed for the actual output and the actual labor hours worked. To calculate the labor efficiency variance, we need to determine the standard labor hours allowed for the actual output and subtract the actual labor hours worked.
In this case, the standard labor hours per unit of output is given as 8.4 hours, and the actual output for the month is 950 units. Therefore, the standard labor hours allowed for the actual output would be 8.4 hours/unit * 950 units = 7,980 hours.
The actual labor hours worked are given as 6,200 hours. To calculate the labor efficiency variance, we subtract the actual labor hours worked from the standard labor hours allowed for the actual output:
Labor Efficiency Variance = Standard labor hours allowed - Actual labor hours worked
= 7,980 hours - 6,200 hours
= 1,780 hours
The labor efficiency variance for the month is 1,780 hours. This indicates that the actual labor hours used were less than the standard labor hours allowed for the actual output, suggesting an efficiency gain in labor utilization.
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Why would you want to transform a set of raw scores Into a set of z-scores? Check all that apply. - To make a distribution with a mean of 0 and a standard deviation of 1 - To make sure the z-scores are normally distributed - To make it possible to compare scores from two different distributions - To be able to describe the location of a raw score in the distribution of raw scores
A z-score is a standardized value used to represent how far from the mean a raw score is in a distribution of scores. By transforming a set of raw scores into a set of z-scores, several advantages are obtained.
These advantages include the following:
To make a distribution with a mean of 0 and a standard deviation of
1.To make it possible to compare scores from two different distributions.
To describe the location of a raw score in the distribution of raw scores.
To convert the raw score to a unitless value.
To make a distribution with a mean of 0 and a standard deviation of
1.To make it possible to compare scores from two different distributions.
To describe the location of a raw score in the distribution of raw scores.
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For school lunch students have 3 meat choices (beef, chicken, or fish), 2 potato choices (mashed or fried), and 3 drink choices (milk, juice, or water).
How many different combinations could students create using one meat, one potato, and one drink?
- 8
- 9
- 11
- 15
- 18
Answer:
18
Step-by-step explanation:
\(3 \times 2 \times 3\)
That will give you 18 which is the answer
Which algebraic expression matches this scenario?
David can type 1/3 as many words as Jasmine.
Let j represent the number of words Jasmine can type.
a. 3/j
b. j/3
c. 3j
What is the volume of the rectangular prism?
To solve the system of linear equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 by using the linear combination method, Henry decided that he should first multiply the first equation by –3 and then add the two equations together to eliminate the x-terms. When he did so, he also eliminated the y-terms and got the equation 0 = 0, so he thought that the system of equations must have an infinite number of solutions. To check his answer, he graphed the equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 with his graphing calculator, but he could only see one line. Why is this?
Henry could only see one line since both lines had the same slope, which means that the graphs of both equations will be identical and hence overlap.
Identify the linear equation?Linear equations in a system 3x + 2y = 4, and 9x + 6y = 12
We must demonstrate why Henry could only make out one line when he plotted the equations 3x-2y=4 and 9x-6y=12 on a graph.
Take the provided linear equation system into consideration.
3x - 2y = 4 ................(1)
9x - 6y = 12 ..................(2)
Due to the fact that equation (2) is a multiple of equation (1), 3 (3x - 2y = 4) = 9x - 6y = 12
The slopes of the provided equations are also same.
Difference with regard to x for equation (1) yields,
additional to equation (2),
With regard to x, we can differentiate to get,
The graphs of both equations will overlap since both lines have the same slope and hence have the same appearance on the graph.
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One popular smoothie recipe uses 2/3 oz of acai juice to make one smoothie. Acai juice typically comes in a 5-oz container, and you want to know how many smoothies can be made from one container. (Write both a multiplication equation and division equation that represents this scenario) (Determine the number of smoothies can be made from one oz of acai)
You can make one and a half smoothies from one oz of acai juice
How to write multiplication equation and division equation?
Given that:
smoothie recipe uses 2/3 oz of acai juice to make one smoothie and
Acai juice comes in a 5-oz container
In order to know how many smoothies can be made from one container, you divide the volume of the Acai juice container by the volume needed to make one smoothie. Thus the equation is:
No. of smoothies = volume of container/volume needed for one smoothie
The number of smoothies that can be made from one oz of acai is:
No. of smoothie = 1/(2/3) = 1 1/2 smoothies
Therefore, the number that can be made from one oz is one and half smoothies
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In AABC, m_A = 45°, m_B= 89º and AC = 15. To the nearest tenth what is the measure of BA? ANSWER RN PLz!!
O A. 10
O B. 11.34
O C. 10.8
O D. 11

============================================================
Work Shown:
The triangle has the given angles A = 45 and B = 89
Let's find angle C
A+B+C = 180
C = 180-A-B
C = 180-45-89
C = 46
----------------
Segment BA, or side c, is opposite angle C
Segment AC, or side b, is opposite angle B
So we have this known info:
angle B = 89side b = 15angle C = 46Apply the law of sines to find c. Make sure your calculator is in degree mode.
sin(B)/b = sin(C)/c
sin(89)/15 = sin(46)/c
c*sin(89) = 15*sin(46)
c = 15*sin(46)/sin(89)
c = 10.7917406394501
c = 10.8
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the table shows how much jose earns at his part-time job. at the rate he is paid,how much would jose make if he worked 9 hours
I think the answer is Class B
Answer:
Its B
Step-by-step explanation:
see if you divided all the classes money by their students you take the biggest amount from each class and that is your answer