Answer:
72
Step-by-step explanation:
$48 + $20 = $68
$68 - $32 = $36
$36 × 2 = $72
Consider the following conditional statement and scenario. Is the conditional statement true or false?
Conditional Statement: If I had set my alarm clock, I would have woken up on time.
Scenario: The power went out and reset all the clocks in the house.
We can actually deduce here that considering the conditional statement and scenario, the conditional statement is false.
What is conditional statement?Conditional statement is actually known to be an if-then statement. It is usually used to show and emphasizes the relationship that exists between two ideas. This means that one idea comes as a result of the other.
Conditional statements actually helps one to make proper deductions in a clear and rigorous way.
We see here that considering the scenario that "the power went out and reset all the clocks in the house", even if alarm was set, it wouldn't ring out because all the clocks in the house were reset when the power out.
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(
2) a) If the function f(x) = |x| is changed to g(x) = 3|x-1| +3,
how is the graph transformed? (left, right, up, down? By how much?)
b) On the blank graph, graph the function g(x) = 3|x-1| +6
The required transformation of graphs are represented and attached below.
Given:
(a) function f(x) = |x| transformed to g(x) = 3 |x ₋ 1 | ₊ 3
To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.
Parent Function : f(x) = |x|
Horizontal Shift: Right 1 Units
Vertical Shift: Up 3 Units
Reflection about the x-axis: None
Vertical Stretch: Stretched
(b) If there is a horizontal or vertical shift, reflection around the x-axis or y-axis, or vertical stretch, the function has undergone transformation. To identify the transformation, compare the function to the parent function.
Parent Function : f(x) = |x|
Horizontal Shift: Right 1 Units
Vertical Shift: Up 6 Units
Reflection about the x-axis: None
Vertical Stretch: Stretched
Hence the required graphs are plotted.
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The heights of women aged 20–29 in the United States are approximately Normal with mean 64.1 inches and standard deviation 3.7 inches. Men the same age have mean height 69.4 inches, with standard deviation 3.1 inches.
Using the normal distribution, it is found that the z-score of the height of a women 5.5 feet tall is 0.51.
What is the missing information?The problem asks for the z-score of the height of a women 5.5 feet tall.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.Considering that each feet has 12 inches, the parameters are given as follows:
[tex]X = 5.5 \times 12 = 66, \mu = 64.1, \sigma = 3.7[/tex]
Hence the z-score is:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (66 - 64.1)/3.7
Z = 0.51.
The z-score of the height of a women 5.5 feet tall is 0.51.
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How do you know that 30 is 1/10 of 300.
Answer: Division
Step-by-step explanation: It's simple. 1/10 = divided by 10. So, all you have to do is divide 10 by 300 and get your answer
Hey there!
1/10 of 300 = 30
1/10 * 300 = 30
1/10 * 300/1 = 30
1(300)/10(1) = 30
300/10 = 30
300 ÷ 10 / 10 ÷ 10 = 30
30 / 1 = 30
30 ÷ 1 = 30
30 = 30
Therefore, your could say you: Simplified your given equation (1/10 * 300) like how I did above and you received the answer (30) & the statement is very much true
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
A line with a slope of 14/3 passes through the point (0,8). What is the equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
The equation of slope-intercept form of the line is y = 14/3x + 8.
What is in slope-intercept form?
Given the slope of the line and the intercept it forms with the y-axis, one of the mathematical forms used to derive the equation of a straight line is called the slope intercept form. Y = mx + b, where m is the slope of the straight line and b is the y-intercept, is the slope intercept form.Given,
m = 14/3
the point = ( 0,8 )
A line with a slope of 14/3 passes through the point (0,8).
y - y₁ = m ( x- x₁)
y - 8 = 14/3 ( x - 0 )
3(y - 8 ) = 14x
3y - 24 = 14x
3y = 14x + 24
y = 14/3x + 8
Finally, the equation of the line is
y = 14/3x + 8
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B.5 Additive property of length 7RA
If KL = 5x, LM = = 6, and KM = x + 10, what is KL?
K
5x
Submit
L
x + 10
6
M
Simplify your answer and write it as a proper fraction, mixed number, or integer.
The length of the KL by additive property is 5 units.
The additive property of equality in an equation asserts that the sides stay equal whether we add or subtract the same amount from both sides of the equation. For entire numbers as well, this property is valid.
An example of the additive property is :
If A=B then A+n=B+n where n∈R.
Now the given line segment is KM is x+10
And KL=5x and LM=6
Now using additive property we can say that
KL+LM=KM
Substituting the values in the equations we get:
5x+6=x+10
or, 4x=4
or, x=1
Now using this value of x we can find the length of KL.
Therefore KL=5x=5×1=5
Hence the length of the KL by additive property is 5 units.
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2. Choose one of the factors of 6x3 + 6
Answer:
24 is the answer to the Equation
The area of a rectangular parking lot is 7031m? If the with of the parking lot is 79m, what is its length?
Answer:
The length of the parking lot is 89metres
Step-by-step explanation:
Area of a rectangle = Lenght × Breadth
[tex]7031 {m}^{2} = x \times 79m \\ divide \: both \: sides \: by \: 79 \\ x = \frac{7031}{79} \\ x = 89m[/tex]
Write 0.56 as a fraction
Answer:
14/25
Step-by-step explanation:
A parking lot is 126.1 m long and 38.06 m wide, what is the perimeter of the lot? Express your answer using four significant figures.
Is collecting pennies dependent or an independent events?
Collecting pennies can either be a dependent or an independent events based on the scenario.
How to illustrate the information?Events classified as independent do not depend on other events for their occurrence. For instance, if we toss a coin in the air and it lands on head, we can toss it again and this time it will land on tail.
A coin toss is an illustration of an autonomous occurrence. With each toss of the coin, there is an equal probability (0.5) of either heads or tails occurring, presuming that the coin is fair and can only land on heads or tails. It doesn't matter if the coin came up heads on the prior toss.
In conclusion, collecting pennies can either be a dependent or an independent events based on the scenario.
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In a choir of 32 singers, what is the ratio of men to women if there are
18 women in the choir?
Answer: Ratio of men to women is 7: 9
Step-by-step explanation:
Total: 32
Women: 18
Men: 32 - 18 = 14
Ratio of Men to Women would be 14 : 18. That simplified is 7 : 9
Answer:1.7
Step-by-step explanation:
divide 32/18=1.7
PLEASE HELP, I WILL GIVE AN EXTRA 20 POINTS TO WHOEVER ANSWERS RIGHT
Answer:
The first choice { (1,2) (2,3) (3,6) (4,5)}
Step-by-step explanation:
A function has each x going to only one y
The first choice has each x going to only one y
Choice two has x=21 going to different y's
Choice 3 has x= 1 going to different y's
Choice 4 has x=2 going to different y's
what are least common multiple and greatest common factor of the numbers 9 and 6
Answer:
LCM=18 and GCF = 3
Step-by-step explanation:
Multiples of 9: 9, 18, 27
Multiples of 6: 6, 12, 18
LCM = 18
Factors of 9: 1, 3, 9
Factors of 6: 1, 2, 3, 6
GCF = 3
The number of trees in a forest follows the logistic growth function f(t):
When will the number of trees reach 30,000?
about 81 years
about 69 years
about 65 years
about 60 years
32,000
1+12.8 -0.005
where t is the time in years.
Answer: 60 years
Step-by-step explanation:
ur answer is 60 because it's the same as 3+3 its 6 but it's
kind of the opposite way
I need to answer this is something like a test but it is not just help me please
Perpendicular lines from angles that measure (90) degrees
Covert 3/7 into percent
The percentage of fraction 3/7 is 42.8571%.
what is percentage?Percentage, a relative value indicating hundredth parts of any quantity. One percent is a hundredth part; thus, 100 percent represents the entirety and 200 percent specifies twice the given quantity.
All of something is 100 percent, half of it is fifty percent, none of something is zero percent. To determine a percentage, you divide the portion of the whole by the whole itself and multiply by 100.
Given fraction:
3/7
To convert the fraction into percentage we have multiply 100
3/7*100
=300/7
= 42.8571%
Hence, the percentage of fraction 3/7 is 42.8571%.
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Elon’s she’s is 10 feet long 6 feet wide and 8 feet tall what is the volume of the shed?
Answer:
project adam?
Step-by-step explanation:
Answer: 480 cubic ft
Step-by-step explanation:
Elon' s shed is 10ft long 6 ft wide 8 ft tall. The volume of the shed is 10 × 6 × 8 = 480 cubic feet
What conjecture can you make about backpack sales in June?
The conjecture about the backpack sales in June is that less than 8,000 backpacks were sold
How to make a conjecture about the backpack sales in June?From the graph, the number of backpack sales in June is not represented on the graph
The last month represented on the graph is May
On the vertical axis of the graph, the number of backpack sales that corresponds to the month of May is between 8,000 and 8,5000
By looking at the trend,
This means that the number of backpack sales in the month of June is less than the number of backpack sales in the month of May
Hence, the conjecture about the backpack sales in June is that less than 8,000 backpacks were sold
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The conjecture about backpack sales is that June sales will be less than 8,000 units.
What is a conjecture?
A conjecture is a mathematical statement without proof. Instead, conjectures survive on some existing patterns.
The existing patterns show that backpack sales peaked in November but deteriorated or decreased steadily every month.
For instance, in November, the backpack sales were 11,000 units but 10,250 in January. It reduced to 8,750 in March.
However, following the end of the Easter holidays, backpack sales may increase from May. But this prediction does not agree with the trend.
Thus, the conjecture about backpack sales is that June sales will be less than 8,000 units.
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A survey of 65 customers was taken at a bookstore regarding the types of books purchased. The survey found that 41 customers purchased mysteries, 33 purchased science fiction, 25 purchased romance novels, 19 purchased mysteries and science fiction, 15 purchased mysteries and romance novels, 10 purchased science fiction and romance novels, and 5 purchased all three types of books.
a) How many of the customers surveyed purchased only mysteries?
b) How many purchased mysteries and science fiction, but not romance novels?
c) How many purchased mysteries or science fiction?
d) How many purchased mysteries or science fiction, but not romance novels?
e) How many purchased exactly two types of books?
Answer:
a) 41 customers purchased only mysteries.
b) 19 customers purchased mysteries and science fiction, but not romance novels.
c) 19 customers purchased mysteries and science fiction.
d) 19 customers purchased mysteries and science fiction, but not romance novels.
e) 15 and 10 customer purchased mysteries
C
E
O
(5x - 21)°
(4x)⁰
B
What is the value of
x if mZDBC is 105°?
Please show work
Answer:
x = 14
Step-by-step explanation:
m<DBC = m<DBE + m<EBC
105 = 4x + 5x - 21
105 = 9x - 21
126 = 9x
9x = 126
x = 126/9
x = 14
Which of the following would you not expect to find in the study design section of the research protocol
A description of primary and secondary endpoints
A schematic diagram of the study design
The methods of recording and analyzing the effectiveness criteria
The expected duration of participant participation
Answer:
im not to sure but i think its this
Step-by-step explanation:
The expected duration of participant participation
what is the sum?
2x+4/x+1 + -x+5/x+1
Answer:
x + 9
------------
x + 1
Step-by-step explanation:
2x + 4 -x + 5 x + 9
------------ + ------------ = -----------
x + 1 x + 1 x + 1
I hope this helps!
a family paid $25,200 as a down payment for a home. if this represents 14% of the price of the home, find the price of the home
Answer:
$178571.43
Step-by-step explanation:
14% of a number is 25000
multiply 25000 by 100 and divide the product by 14
you will get 178571.428571
round up the 100ths place and it's 178571.43
Solve for x. Figures are not necessarily drawn to scale.
N
32
40
59⁰
45
P
X
59⁰
M
The value of x is 81 since similar triangles have equal ratios of corresponding sides.
Given:
PQ ǁ MN
OQP= N
QPO= M
ΔOQP=ΔONM
OP/OM=OQ/ON
45/X=40/72
X= (72×45)/40
X=81
If two figures have the same shape, they are said to be comparable. In more formal terms, two figures are said to be comparable if their respective angles are congruent and their corresponding side length ratios are identical. The scale factor is the name of this usual ratio.
Therefore, the value of X is calculated as 81.
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In certain deep parts of oceans, the pressure of sea water, P, in pounds per square foot, at a depth of d feet
below the surface, is given by the following equation:
P = 13+
5d
13
< >
If a scientific team uses special equipment to measures the pressure under water and finds it to be 308 pounds
per square foot, at what depth is the team making their measurements?
Answer: Depth d = 767 feet.
Step-by-step explanation:
In certain deep parts of oceans, the pressure of sea water, P, in pounds per square foot, at a depth of D feet below the surface, is given by the following equation:
P= 13+ 5d/13
If a scientific team uses special equipment to measures the pressure under water and finds it to be 308 pounds per square foot, at what depth is the team making their measurements?
Given data,
The relationship between the pressure, p of sea water in certain deep parts of oceans is and the distance, d below the surface is given by the following equation,
P= 13+ 5d/13
Where,
p is in pounds per square foot.
d is in feet
The pressure of seawater is 308 pounds per square foot at a depth
308 = 13+ 5d/13 (eq-1)
308 - 13 = 5d/13
Cross multiplying, it becomes
295 = 5d/13
295 * 13 = 5d
3,835 = 5d
3,835/5 = d
d = 767 feet
At a depth of 308 feet below the surface of the water, the pressure of seawater is,
Substitute d value in equation 1,
So, we can write,
P= 13+ 5d/13
P = 13+ 5 (767) /13
P = 13 + 3835/13
P = 13 + 295
P = 308 pounds per square foot.
Therefore,
Depth d = 767 feet.
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PLS HELP THIS IS CONFUSING
Answer:you need to show the options at the bottom
Step-by-step explanation:
3x³ = -16x² - 21x
Solve for x
Answer:
x=0, x=-7/3, x=-3
Step-by-step explanation:
please help DUE TODAY. I WILL GIVE 35 POINTS!!!!!!
Shureka Washburn has scores of 79, 69, 61, and 91 on her algebra tests. a. Use an inequality to find the scores she must make on the final exam to pass the course with an average of 75 or higher, given that the final exam counts as two tests. b. Explain the meaning of the answer to part (a).
She must have a score greater than the average of 75 on her final exam.
What is arithmetic mean?Arithmetic mean is defined as the ratio of the sum of observations to the total number of observations. It can be referred to as the average of a specific set of data or the arithmetic mean.
Let the required score be x
Mean = 79 + 69 + 61 + 91 + x/5
⇒ 79 + 69 + 61 + 91 + x/5 > 75
⇒ 300 + x/5 > 75
⇒ 300 + x > 375
⇒ x > 375 - 300
⇒ x > 75
This implies that she needed a score on her final exams that were higher than the average of 75.
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What is the slope of the line x=2
to get the slope of any straight line, we simply need two points off of it, let's use those two points on the picture below.
[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{-3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-3}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{2}}} \implies \cfrac{-3 -4}{2 -2}\implies \cfrac{-7}{0}\implies und efined[/tex]
