34 Points! Multiple choice algebra question. Photo attached. Solve e^x>2.7. Thank you!
Answers
Answer:
B
Step-by-step explanation:
not good at explaining this concept but keep the signal its X|X and its near the square root so tadaaa
Related Questions
HELP FAST! EASY ALGEBRA 2!
Answers
A graph of the functions with the asymptotes is shown in the image below.
The pre-image of the function y = log₂(x + 1) was horizontally shifted to the left by 1 unit.
The pre-image of the function y = log₂(x) + 4 was vertically shifted up by 4 units.
What is a translation?In Mathematics, the translation a geometric figure or graph to the left means subtracting a numerical value to the point on the x-coordinate of the pre-image;
g(x) = f(x + N)
In Mathematics and Geometry, the translation a geometric figure upward means adding a numerical value to the point on the positive y-coordinate (y-axis) of the pre-image;
g(x) = f(x) + N
Since the parent function f(x) was horizontally translated 1 unit left, we have the following transformed function;
y = log₂(x + 1)
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Brennan knew his parents had set up their will some years ago. Neither he nor his sister, Maureen, had ever discussed the will with their parents. When both parents passed away, they met with the family lawyer about the will. What they found was that the money their parents had been giving them over the last few years was a gift and part of their estate planning. The gifts reduced the size of the estate to ensure the value of the estate upon their passing would be under the tax-free limit.
Their parents had not really talked with Brennan or Maureen about how the “gift” money they had been receiving would affect their final inheritance. As they listened to
the estate lawyer give them details of their inheritance, they were shocked to learn there was less than what they had thought.
1. Discuss your thoughts on how Brennan’s and Maureen’s parents handled the informationin the will prior to their passing. Should the parents have explained more clearly about the “gift” money and how it affected their inheritance?
2. What responsibility did Brennan and Maureen have to discuss the will with their parents?
3. What experience do you have with a family member’s will? How would you approach
the topic of writing a will with a family member?
Answers
Open and clear communication is crucial when discussing estate planning and wills with family members to prevent misunderstandings and hurt feelings.
1. It is understandable that Brennan and Maureen feel shocked and disappointed with the reduced inheritance.
While it is not required for parents to disclose every detail of their estate planning to their children, it would have been helpful if they had discussed the impact of the gifts on their estate and their final inheritance.
Clear communication can prevent misunderstandings and hurt feelings in the future.
2. Brennan and Maureen have a responsibility to discuss the will with their parents. It is essential to have an open and honest conversation about their parents' wishes and intentions to avoid any confusion or disputes in the future.
While it can be uncomfortable to talk about death and inheritance, it is a crucial conversation to have.
3. It can be a difficult and emotional topic to discuss, but it is important to have open communication to ensure that everyone's wishes are respected and honored. It may be helpful to consult with a lawyer or financial advisor to ensure that the will is properly drafted and that everyone's needs are addressed.
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She has a budget of $500. Which two items together cost 34% of her budget.
Answers
The two items that together cost 34% of her budget have a summed cost of $170
Which two items together cost 34% of her budget.From the question, we have the following parameters that can be used in our computation:
She has a budget of $500.
To calculate which two items together cost 34% of her budget, we use
Amount = 34% * Budget
substitute the known values in the above equation, so, we have the following representation
Amount = 34% * 500
Evaluate
Amount = 170
Hence, the two items would have a summed cost of $170
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Madam Antiowwah at oseikakookrom charged her phone to full (100%). She browse two hours. The battery life fell to 60% How many hours later would the phone or She continues to browse?
Answers
Answer:
Phone dies in 6 hours
Step-by-step explanation:
A medical researcher claims that the proportion of people taking a certain medication that develop serious side effects is 12%. To test this claim, a random sample of 900 people taking the medication is taken and it is determined that 93 people have experienced serious side effects. The following is the setup for this hypothesis test: H0:p=0.12 Ha:p≠0.12 Find the p-value for this hypothesis test for a proportion and round your answer to 3 decimal places. The following table can be utilized which provides areas under the Standard Normal Curve:
Answers
The p-value from the hypothesis is 0.0583 which is not significant at p<0.05
What is the p-valueTo determine the p-value of the hypothesis, we need to use the formula;
z = (x - a) / √(a(1 - a)/n)
a = hypothesized proportionx = sample proportionn = sample sizex = 93 / 900 = 31/300 = 0.103
a = 12% = 12/100 = 0.12
n = 900
Substituting the values into the formula;
z = (0.103 - 0.12)/√(0.12(1 - 0.12)/900)
z = -0.017 / √0.0001173
z = -1.569
Using a standard normal distribution table;
p-value = 0.058324
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Eliza plans on constructing a confidence interval for the slope of a regression line. She creates the residual plot shown to check the conditions for creating the interval. Which of the following conditions appear to be met based on the residual plot?
I.The true relationship between x
and y
is linear.
II.The standard deviation of y
is constant for different levels of x
.
III.The value of 0 is contained in the confidence interval.
Answers
Answer:
Based on the residual plot, we can check for the following conditions:
I. The true relationship between x and y is linear:
We can check this condition by looking at the pattern of the residuals in the plot. If the residuals are randomly scattered around zero, without any discernible pattern, then it suggests that the true relationship between x and y is linear. If there is a pattern in the residuals, then it suggests that the true relationship is not linear. Since we are not given a residual plot to examine, we cannot determine whether this condition is met.
II. The standard deviation of y is constant for different levels of x:
We can check this condition by looking at the spread of the residuals in the plot. If the spread of the residuals is roughly the same for all values of x, then it suggests that the standard deviation of y is constant for different levels of x. If the spread of the residuals increases or decreases as x increases, then it suggests that the standard deviation of y is not constant for different levels of x. From the residual plot, we cannot determine whether this condition is met.
III. The value of 0 is contained in the confidence interval:
This condition refers to the confidence interval for the slope of the regression line. If the confidence interval includes 0, then it suggests that the slope is not significantly different from 0 and there is no significant linear relationship between x and y. From the residual plot, we cannot determine whether this condition is met.
Therefore, based on the given information, we cannot determine which conditions appear to be met based on the residual plot.
8 The events committee wants to survey students about a school dance. The committee is
meeting in the gym, where the girls' basketball team is practicing. They survey the
players on the girls' basketball team.
Answers
The events committee is surveying only 1.5% of the student population by asking the girls' basketball team about the school dance.
How to solveTo calculate the percentage of the student population being surveyed, you can use the formula:
Percentage = (Number of students surveyed / Total number of students) * 100
In this case, the number of students surveyed is 15 (girls' basketball team), and the total number of students is 1,000.
Percentage = (15 / 1,000) * 100 = 1.5%
So, the events committee is surveying only 1.5% of the student population by asking the girls' basketball team about the school dance.
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The events committee wants to survey students about a school dance. The committee is
meeting in the gym, where the girls' basketball team is practicing. They survey the
players on the girls' basketball team.
If there are 1,000 students in the school, and the girls' basketball team has 15 players, what percentage of the student population is being surveyed by the events committee about the school dance?
A pair of standard dice are rolled. Find the
probability of rolling a sum of 7 with these dice.
Answers
Answer:
6 out of 36 or 1 out of 6
Step-by-step explanation:
There are 36 possible ways two dice can roll, so the probability of the sum of seven is 6 out of 36, or 1/6.
[tex]\boxed{\sf 16.67\%}.[/tex]
Step-by-step explanation:1. Determine the total amount of different outcomes.So since we have a pair of dice, assuming they are standard 6 faced dices, the total amount of outcomes is given by just multiplying the number of faces or different numbers that the dices can present:
6 x 6 = 36 possible outcomes.
2. Determine the amout of outcomes that meet the requirement of adding up to 7.Now, here we need to count all the possible cases where the outcome of both dices will equal 7. And there are said cases:
1 + 6 = 7
Explanation. Here the first dice presented number 1 and the second presented number 6, adding up to 7.
Other cases that meet the requirement:
2 + 5 = 7
3 + 4 = 7
4 + 3 = 7
5 + 2 = 7
6 + 1 = 7
So the total amount of events that will meet the requirement is 6.
3. Find the probability.So if we have an event with 36 possible outcomes, and only 6 of those 36 outcomes will mean a success on the experiment. Then, to find the probability of those 6 events from happening all we need to do is divide the amount of events considered "success" which is the numbers adding up to 7 by the total amout of outcomes (36).
So, the probability of rolling a sum of 7 with 2 dices is:
[tex]\sf P(\dfrac{6}{36} )=\dfrac{1}{6} =\boxed{\sf 16.67\%}.[/tex]
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PQRSTU is plotted on a coordinate plane with vertices p(-1,0) Q(-1,3) R(1,4) S(2,5) T(4,4) and U(4,0) what is the hexagons area
Answers
First, we can find the length and width of the rectangle by finding the distance between points R and T, and between points Q and U, respectively.
Length of the rectangle RT = sqrt((4-1)^2 + (4-5)^2) = sqrt(10)
Width of the rectangle QU = sqrt((4-(-1))^2 + (0-3)^2) = sqrt(50)
The area of the rectangle is then:
Area of rectangle = Length x Width = sqrt(10) x sqrt(50) = 10sqrt(2)
To find the area of the two triangles, we can use the formula for the area of a triangle:
Area of triangle = 1/2 x Base x Height
Triangle 1 has base PQ, which has length 3, and height 1, which is the distance between PQ and RS. The area of triangle 1 is:
Area of triangle 1 = 1/2 x 3 x 1 = 3/2
Triangle 2 has base RS, which has length sqrt((4-1)^2 + (5-4)^2) = sqrt(10), and height 1, which is the distance between PQ and RS. The area of triangle 2 is:
Area of triangle 2 = 1/2 x sqrt(10) x 1 = sqrt(10)/2
Therefore, the total area of the hexagon is:
Area of hexagon = Area of rectangle + Area of triangle 1 + Area of triangle 2
= 10sqrt(2) + 3/2 + sqrt(10)/2
= 10sqrt(2) + (3+sqrt(10))/2
So the area of the hexagon is approximately 19.55 square units.
Is c = 3 a solution to the inequality below?
122 c
yes
no
Answers
The value c = 3 is not a solution to the inequality
Checking if c = 3 is a solution to the inequalityFrom the question, we have the following parameters that can be used in our computation:
122 c
Express properly
So, we have
1 ≥ c
When this inequality is rewriiten. we have
c ≤ 1
This means that the values of c do not exceed 1
The number 3 exceeds 1
So, it means that c = 3 is not a solution to the inequality
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All but 36 of the 120 state capitals have an interstate highway serving them. What percent of the capitals do not have interstates?
Answers
Therefore, 70% of state capitals do not have interstate highways serving them.
What is percent?Percent is a way of expressing a number as a fraction of 100. The term "percent" means "per hundred". Percentages are usually denoted by the symbol %, which is placed after the numerical value. Percentages are used in many fields, including finance, science, and everyday life, to represent proportions, rates, and changes in quantities.
Here,
If all but 36 of the 120 state capitals have an interstate highway serving them, then the number of capitals that do not have interstates is 120 - 36 = 84.
To find the percentage of capitals that do not have interstates, we need to divide the number of capitals without interstates by the total number of capitals and then multiply by 100:
84 / 120 x 100% = 70%
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A store has 300 televisions on order, and 90% are high definition. How many televisions on order are high
definition? You may find the bar model useful in completing this problem.
20% 30% 40%
70%
0%
0
10%
30
The store has
50% 60%
high-definition televisions on order.
80%
90%
100%
300
Answers
Answer:
90% of 300 = .90 × 300 = 270 high- definition televisions on order.
Trigonometry homework help
Answers
A. The distance she must walk to return to the starting point is approximately 1912.325 ft, or 1912 ft 3 in.
B. She is walking towards the north, the heading is N 1° 20' W.
C. Acreage = 7.55 acres (rounded to 3 decimal places).
How did we get these values?A. Convert the angles to decimal degrees:
N. 27° 40′ E. = 27.667°
N. 56° 31′ E. = 56.517°
S. 4° 26′ W. = -4.433°
Now, calculate the distances between the points:
AB = √(696.2917² + 3.5² - 2*696.2917*3.5*cos(27.667°)) = 696.2227 ft
BC = √(487.9792² + 11.75² - 2*487.9792*11.75*cos(56.517°)) = 487.9385 ft
CD = √(1691.125² + 1.5² - 2*1691.125*1.5*cos(-4.433°)) = 1691.1415 ft
B. Finding the distance from D back to A, calculate the distance and angle between AD:
AD = √(AB² + BD² - 2*AB*BD*cos(θ)) where θ = 180° - 4°26' - 27°40' = 147.9°
Substituting AB and BD:
AD = √(696.2227² + 1691.1415² - 2*696.2227*1691.1415*cos(147.9°)) = 1912.3246 ft
Therefore, the distance she must walk to return to the starting point is approximately 1912.325 ft, or 1912 ft 3 in.
C. Finding the heading she walks from D back to A, calculate the angle between AD and the north-south axis:
θ' = atan((AB*sin(27.667°) - BD*sin(θ))/AD) = atan((696.2227*sin(27.667°) - 1691.1415*sin(147.9°))/1912.3246)
θ' = -1.344°
Since she is walking towards the north, the heading is N 1° 20' W.
Lastly, to calculate the acreage of this plot of land, we use Heron's formula to determine the area of triangle ABC:
s = (AB + BC + AC)/2 = (696.2227 + 487.9385 + 1392.625)/2 = 788.8931 ft
A = √(s(s-AB)(s-BC)(s-AC)) = 328756.0207 ft²
Convert to acres:
Acreage = 328756.0207/43560 = 7.55 acres (rounded to 3 decimal places).
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The cost of 8 T-shirts and 3 jackets is $135. The cost of 7 T-shirts and 5 jackets is $149.
Enter the cost of one T-shirt and one jacket in the response boxes below.
T-shirt: S
jacket: $
Answers
The cost of one T-shirt and one jacket is $12 and $13 respectively.
What is the cost of one T-shirt and one jacket?Let
cost of one t-shirt = x
cost of one jacket = y
8x + 3y = 135
7x + 5y = 149
Multiply (1) by 5 and (2) by 3
40x + 15y = 675
21x + 15y = 447
Subtract the equations to eliminate y
40x - 21x = 675 - 447
19x = 228
divide both sides by 19
x = 228/19
x = 12
Substitute x = 12 into (1)
8x + 3y = 135
8(12) + 3y = 135
96 + 3y = 135
3y = 135 - 96
3y = 39
y = 39/3
y = 13
Hence, a T-shirt and a Jacket cost $12 and $13 respectively.
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The rectangles in the figure below are folded along the dotted lines at 90 * angles to make a completely closed rectangle box with no overlap. What is the volume of the resulting box?
Answers
The Volume of the resulting rectangular box is calculated as: 72 cubic units.
What is the Volume of a Rectangular Box?A rectangular box's volume can be calculated using the formula expressed below:
Volume = length * width * height.
Using the image of the net of the rectangular box, when folded, the dimensions of the box would be:
Length = 6 units
Width = 10 - 6 = 4 units
Height = 11 - 4 - 4 = 3 units
Plug in the values:
Volume of rectangular box = 6 * 4 * 3 = 72 cubic units.
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Help please!!!!
Whoever answers right gets brainliest!
Answers
Answer:
25
Step-by-step explanation:
To solve this problem you have to use this formula [tex](\frac{b}{2})^{2}[/tex] it. So in this case b is the term next to the x term. This number is 10. So all we have to do is insert it into the formula. This would give us:
[tex]=(\frac{10}{2})^{2}\\\\=(5)^{2}\\\\= 25[/tex]
The constant term is 25.
Could I get Brainilest, please? I'm trying to get to the expert level
Today's clients are ages 15, 72, 8, 89, 14, 16, 24, and 38. What is the range of the clients' ages?
Answers
Answer:
81
Step-by-step explanation:
The difference between the maximum and minimum values in a collection of data is known as the range. We must first determine the lowest and maximum values before we can determine the age range of the clients.
the minimum age is 8, and the maximum age is 89.
Therefore, the range of the clients' ages is:
Max age - Min age = 89 - 8 = 81
So the range of the clients' ages is 81.
3+3=???
A: 3113
B: 33
C. 6 ( I did the math and never got this answer)
D. 9
please help !!!!!
Answers
Answer:
D
Step-by-step explanation:
gimme the points
cuz
scientific
Which ordered pair is a solution of y = x + 12?
A.( 24, 12)
B. (–12, –24)
C.( 9, 21)
D. (0, –12)
Answers
(9,21) is a solution of y=x+12
Step-by-step explanation:When is an ordered pair a solution?
To find if an ordered pair (x,y) is a solution to an equation, substitute the x-value and y-value from the ordered pair into the equation, evaluate both sides of the equation individually, and see if the equation is true.
If the two sides are equal, the ordered pair is a solution.If the two sides are not equal, the ordered pair is not a solution.Warning: A common mistake is to use the first coordinate (the x-coordinate, on the left of the ordered pair) as the value on the left side of the equation, and the second coordinate (the y-coordinate, on the right of the ordered pair), as the value for the right side of the equation. Make sure to substitute the x-value for the "x" in the equation, and the y-value for the "y" in the equation.
Going through the choices:
Point A (24,12)
y = x+12
(12) ?? (24) + 12
12 ≠ 36
not equal -- not a solution
Point B (-12,-24)
y = x+12
(-24) ?? (-12) + 12
-24 ≠ 0
not equal -- not a solution
Point C (9,21)
y = x+12
(21) ?? (9) + 12
21 = 21
equal -- (9,21) is a solution
Point D (0,-12)
y = x+12
(-12) ?? (0) + 12
-12 ≠ 12
not equal -- not a solution
What is the solution to
√7x-4 = 2√x
O A.4/3
O B. -4/4
O C. 4/5
O D. -4/3
Answers
Answer:
B
Step-by-step explanation:
take square on both sides
7x-4 = 4x
x = 4/3
use the standard normal distribution table to determine the percent of data less than
z= 1.67
The percent of the data less than Z = 1.67 is ?
Answers
Step-by-step explanation:
Look at the table for z = 1.67
You have the wrong table.......the table you posted is for negative z-scores
for z -score = + 1.67 , the value is .9535 = 95.35 %
If I save 300 a week how much will I have at the end of the year?
Answers
15,653 much will I have at the end of the year in linear equation.
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) component, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables. Equations with power 1 variables are known as linear equations. axe+b = 0 is a one-variable example in which a and b are real numbers and x is the variable.
Earning $300 a week equals $15,587 a year. This result is obtained by multiplying the base salary by the number of hours, weeks, and months worked in a year, assuming a 40-hour work week.
15,653 much will I have at the end of the year in.
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HELP THIS IS ALL!!!HELPPP
Answers
Answer:
247
Step-by-step explanation:
100 POINTS!!!
Question:
Answers
for KW 1 calculation output are 15,17,19,21,23for KW 2 calculation output are 61,63,65 for KW 3 calculation are 16,23,30,37,114,121,128, just by substituting to equation we can get answer
what is equation ?
An equation is a mathematical statement that asserts that two expressions are equal. It is typically written using an equal sign (=) between the two expressions. An equation can contain variables, which are symbols that represent unknown values.
In the given question,
for table 1 calculation is as below
output x=0 is 15+2x=15+2*0=15
output x=1 is 15+2x=15+2*1=17
output x=2 is 15+2x=15+2*2=19
output x=3 is 15+2x=15+2*3=21
output x=4 is 15+2x=15+2*4=23
for table 2 calculation is as below
output x=1 is 60+2x=60+2*1=61
output x=2 is 60+2x=60+2*2=63
output x=3 is 60+2x=60+2*3=65
for table 3 calculation is as below
output x=0 is 16+7x=16+7*0=16
output x=1 is 16+7x=16+7*1=23
output x=2 is 16+7x=16+7*2=30
output x=3 is 16+7x=16+7*3=37
output x=14 is 16+7x=16+7*14=114
output x=15 is 16+7x=16+7*15=121
output x=16 is 16+7x=16+7*0=128
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for KW 1 calculation output are 15,17,19,21,23for KW 2 calculation output are 61,63,65 for KW 3 calculation are 16,23,30,37,114,121,128, just by substituting to equation we can get answer
what is equation ?
An equation is a mathematical statement that asserts that two expressions are equal. It is typically written using an equal sign (=) between the two expressions. An equation can contain variables, which are symbols that represent unknown values.
In the given question,
for table 1 calculation is as below
output x=0 is 15+2x=15+2*0=15
output x=1 is 15+2x=15+2*1=17
output x=2 is 15+2x=15+2*2=19
output x=3 is 15+2x=15+2*3=21
output x=4 is 15+2x=15+2*4=23
for table 2 calculation is as below
output x=1 is 60+2x=60+2*1=61
output x=2 is 60+2x=60+2*2=63
output x=3 is 60+2x=60+2*3=65
for table 3 calculation is as below
output x=0 is 16+7x=16+7*0=16
output x=1 is 16+7x=16+7*1=23
output x=2 is 16+7x=16+7*2=30
output x=3 is 16+7x=16+7*3=37
output x=14 is 16+7x=16+7*14=114
output x=15 is 16+7x=16+7*15=121
output x=16 is 16+7x=16+7*0=128
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tan(3) + 1 = sec(3)
Find all solutions of the equation and find the solutions in the interval [0, 2).
Answers
The solutions of the equation tan(3) + 1 = sec(3) in the interval [0, 2) are approximately:
3 ≈ 0.523599 radians or 30 degrees (in the first quadrant)
3 + π ≈ 3.66444 radians or 210 degrees (in the third quadrant)
How did we get these values?The equation tan(3) + 1 = sec(3) can be rewritten as:
tan(3) + 1 = 1/cos(3)
Multiplying both sides by cos(3), we get:
sin(3) cos(3) + cos(3) = 1
Using the identity sin(2x) = 2sin(x)cos(x), we can rewrite the left-hand side as:
sin(2*3) + cos(3) = 1
Simplifying this expression, we get:
2sin(3)cos(3) + cos(3) = 1
Factorizing out cos(3), we get:
cos(3)(2sin(3) + 1) = 1
Dividing both sides by 2sin(3) + 1, we get:
cos(3) = 1/(2sin(3) + 1)
We know that sin^2(3) + cos^2(3) = 1, so we can substitute cos^2(3) = 1 - sin^2(3) into the above equation and simplify:
1/(2sin(3) + 1) = cos(3) = sqrt(1 - sin^2(3))
Squaring both sides and simplifying, we get:
(2sin(3) + 1)^2 = 1 - sin^2(3)
Expanding the left-hand side and simplifying, we get:
4sin^3(3) - 3sin^2(3) - 3sin(3) + 1 = 0
This is a cubic equation in sin(3), which can be solved using various methods, such as Cardano's formula or numerical methods. However, the solutions are quite complicated and involve complex numbers.
In the interval [0, 2), we can use a numerical method, such as Newton's method, to find an approximate solution. Starting with an initial guess of sin(3) = 0.5, we can iteratively apply the formula:
sin(3)_n+1 = sin(3)_n - f(sin(3)_n)/f'(sin(3)_n)
where f(sin(3)) = 4sin^3(3) - 3sin^2(3) - 3sin(3) + 1 and f'(sin(3)) = 12sin^2(3) - 6sin(3) - 3.
After several iterations, we find that sin(3) ≈ 0.464758. Substituting this into the equation cos(3) = 1/(2sin(3) + 1), we get cos(3) ≈ 0.885005.
Therefore, the solutions of the equation tan(3) + 1 = sec(3) in the interval [0, 2) are approximately:
3 ≈ 0.523599 radians or 30 degrees (in the first quadrant)
3 + π ≈ 3.66444 radians or 210 degrees (in the third quadrant)
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At a discount store,all DVDs have the same price. Chan bought 6 DVDs and paid a total of $62.87,which includes $2.99 in sales tax.What is the first step in finding the cost of one DVD? Complete the drip diagram to solve the first step. Please help!!!
Answers
Step-by-step explanation:
Answer
The price of 6 DVDs, including sales tax = $62.87
Sales tax = $2.99
Required:
The cost of one DVD.
Explanation:
Step 1: Price of 6 DVDs excluding sales tax.
The price of 6 DVDs excluding sales tax = $62.87 - $2.99 = $59.88
Step 2: Use the Unitary Method:
According to the question,
6 DVDs price = $59.88
1 DVD price excluding sales tax = $ 59.88/6
Solve the equation 4/3 (x + 6) = 2x – 3 + x.
Answers
The solution to the equation is x = 33/5.
We can start by simplifying both sides of the equation using the distributive property and combining like terms:
4/3 (x + 6) = 2x - 3 + x
4/3 x + 8 = 3x - 3
Next, we can isolate the variable x on one side of the equation by subtracting 4/3 x and adding 3 to both sides:
4/3 x - 3x = -8 - 3
-5/3 x = -11
Finally, we can solve for x by dividing both sides by -5/3:
x = -11 / (-5/3)
x = 33/5
Therefore, the solution to the equation is x = 33/5.
Use a net to find the surface area of the prism.
A. 469 in.2
B. 315 in.2
C. 539 in.2
D. 784 in.2
Answers
Answer:
2(1/2)(11)(7) + 11(14) + 14(8) + 14(9) = 469 in.^2
The correct answer is A.
1/2x^2+3x-5 min or max
Answers
The function f(x) = (1/2)x^2 + 3x - 5 has a minimum value
Classifying the function as min or maxTo determine whether the function f(x) = (1/2)x^2 + 3x - 5 has a minimum or maximum value, we can use the fact that the vertex of a quadratic function represents the minimum or maximum point of the function.
To find the x-coordinate of the vertex, we can use the formula x = -b/2a, where a and b are the coefficients of the quadratic term and the linear term, respectively.
In this case, a = 1/2 and b = 3, so we have:
x = -b/2a = -(3)/(2(1/2)) = -3
To find the corresponding y-coordinate, we can substitute x = -3 into the function:
f(-3) = (1/2)(-3)^2 + 3(-3) - 5 = -9.5
Since the coefficient of the quadratic term is positive, we know that the parabola opens upward and the vertex represents a minimum value.
Therefore, the minimum value of the function is -9.5, which occurs at x = -3.
Read more about quadratic function at
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A car and a bus left Sunrise Village for Sunset Village of the same time, travelling along the
same route. After travelling for 4 h, the car reached Sunset Village, but the bus had only
completed 5/8 of the journey. The bus travelled at a speed which was 30 Km/h slower than the car
a) Find the distance between the two villages.
b) Find the average speed of the bus.
Answers
Answer:
a) 192Km
b) 50
Step-by-step explanation: