Complete the following.
(a) Consider the following statement.
The water temperature is 70.
Check all the statements below that are negations of this statement.
The water temperature is less than 80.
It is not the case that the water temperature is 70.
The water temperature is not 70.
(b) Consider the following conditional statement.
If the dress is red, then Keisha likes the dress.
What is the conclusion of this statement?
It is not true that Keisha owns a dress.
Keisha likes the dress.
The dress is red.
Keisha loves the dress.
The dress likes Keisha.
a) The option that is a negation of the given statement is; The water temperature is not 70.
b) The conclusion of the given conditional statement is; Keisha likes the dress.
How to Interpret Conditional Statements?In mathematics, a conditional statement is defined as a statement that can be written in the form “If P then Q,” where P and Q are sentences.
a) We are given the statement as;
The water temperature is 70.
Now, negation is a false/opposite form of the given statement and as such among the options, the only one that is a negation is that
"The water temperature is not 70."
b) We are given the conditional statement as;
If the dress is red, then Keisha likes the dress.
Thus, the conclusion of this is that likes the dress.
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Is 4 over 5 equals 48 over 60 a true proportion?
Answer:
0.8 you yes both of them has the same answer , so it is a true portion
Step-by-step explanation:
Answer:
Yes.
Step-by-step explanation:
\(\frac{4}{5} =\frac{48}{60}\)
This is a true proportion because when you cross multiply you get the same product.
\(48*5=240\)
\(4*60=240\)
Select whether the pair of lines is parallel, perpendicular, or neither. y−4=3(x+5), y+3=−13(x+1)
Answer:
neither
Step-by-step explanation:
parallel lines will have the same number next to the x
perpendicular lines will have the negative reciprocal number next to the x
(for example 2 and -1/2 are negative reciprocals)
y−4=3(x+5)
parenthesis first
y−4=3x+15
y=3x+19
y+3= −13(x+1)
y+3= −13x−13
y= −13x−16
3x and −13x are neither the same nor negative reciprocals of each other so
the answer is neither
Find the common difference of the sequence 4, 12, 20, ....
8
In this pattern, we have 4 12 then 20.
We can see that the difference 4 and 12 is 8.
Since the difference between 12 and 20 is also 8, the common difference of the sequence is 8.
50 Points! Multiple choice algebra question. Photo attached. Thank you!
Answer:
A. \(\frac{24}{25}\)
Need help on this question pls help!!!!!!!
. Joaquin played basketball with his friends from 1:10 to 3:35. He arrived home 20 minutes later. How many minutes passed from the time Joaquin started playing basketball until the time he arrived at home?
Answer:
165 minutes
Step-by-step explanation:
To solve for the number of minutes that Joaquin played for, we can use this expression:
(let 'a' represent how much time passed from the time Joaquin started playing basketball until the time he arrived at home)
1:10 + a = 3:35Subtracting 1:10 from each side:
1:10 - 1:10 + a = 3:35 - 1:101:10 - 1:10 cancels out to 0, while 3:35 - 1:10 is equal to 2:25.
So, the expression is now:
a = 2:25So, 2 hours and 25 minutes passed.
If we know that 1 hour is equivalent to 60 minutes, we can use this expression to solve for however many minutes are in 2 hours:
2 × 60 = 120Now we need to add on the number of minutes and the time it took him to get home:
120 + 25 + 20 = 165Therefore, 165 minutes passed from the time Joaquin started playing basketball until the time he arrived at home.
Can you help me answer this question?
The constant of proportionality of the line is slope m = 2/3
Given data ,
Let the line be represented as A
Now , the value of A is
Let the point on the straight line be P ( 2 , 3 )
Now , from the proportionality , we get
y = kx
Divide by x on both sides , we get
k = y/x
So , the slope of the line is k
k = 2/3
Hence , the proportion is y = ( 2/3 )x
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Seven of the angles of a decagon have measures whose sum is 1220. Of the remaining 3 angles, exactly two are complementary and exactly two are supplementary. Find the measures of these three angles.
The measures of the remaining three angles of the decagon are 40, 50 and 130 degrees.
How to find angles of a decagon?A decagon is a polygon with 10 sides. In a regular decagon, the interior angles add up to 1440 degrees, and the exterior angles add up to 360 degrees.
Therefore, seven of the angles of a decagon have measures whose sum is 1220. Of the remaining 3 angles, exactly two are complementary and exactly two are supplementary.
Complementary angles sum up to 90 degrees while supplementary angles sum up to 180 degrees.
Therefore,
1440 - 1220 = 220
Let the angles be a, b and c.
Therefore,
a + b + c =220
a + b = 90
b + c = 180
Hence,
a = 220 - 180
a = 40°
b = 90 - 40
b = 50°
c = 180 - 50
c = 130°
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Explain the sum of geometric progression
Tien reads for 45 minutes each night before going to bed. Which expression will
calculate her total reading time (in minutes) in 3 nights?
Answer:
135 !!!!!!!!!!!!
Step-by-step explanation:
Your welcome!!!
The circle graph represents the different kinds of plants the Martin family planted in their garden. Use the graph for Parts A-C.
Part A
If there are 200 plants in the garden, how many of them are green beans?
Part B
If there are 200 plants in the garden, which of the following represents the number of plants that are either pumpkin or tomato?
Part C
If there are 200 plants in the garden, which of the following represents how many more corn plants than cucumber plants there are?
Part A: There are 28 green beans in the garden. Part B: There are 80 plants that are either pumpkin or tomato. Part C: There are 52 more corn plants than cucumber plants.
What is a circle graph?A circle graph, often called a pie chart, is a circular graph with sectors on it, each representing a particular category or set of data. Each sector's area or angle is proportionate to the amount it stands for. In data visualisation, circle graphs are frequently used to show the relative sizes or proportions of several categories or groups within a dataset. They can instantly convey the distribution of data without the need for laborious numerical calculations, which makes them effective for presenting data that is divided into discrete groups. However, if the data is not presented in a clear and simple manner or if the sectors are not precisely drawn to scale, circle graphs may be deceiving.
Part A: The percentage of green beans in the circle graph is 14%.
14% of 200 = 0.14 x 200 = 28
Part B: The circle graph shows:
pumpkin plants and tomato plants is 20% + 20% = 40%.
40% of 200 = 0.40 x 200 = 80
Part C: The corn plants is 36% and the percentage of cucumber plants is 10%.
36% of 200 - 10% of 200 = (0.36 x 200) - (0.10 x 200) = 72 - 20 = 52
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a bill is $42 the family leaves a trip and spends $49.77 how much was the tip in dollars?
Answer:
7 dollars and 77 cents
Step-by-step explanation:
Can i get brainliest??
Answer:
$ 7 . 77
Step-by-step explanation:
49.77 - 42 = 7.77
Hope this helps dude
which is equal to (sinx+cosx)^2+(sinx-cosx)^2 using identities?
The expression (sinx + cosx)^2 + (sinx - cosx)^2 simplifies to
4 + 2sinxcosx.How to simplify the identityTo simplify the expression (sinx + cosx)^2 + (sinx - cosx)^2 using trigonometric identities, we can expand and simplify the expression.
Expanding the squared terms
(sin^2x + 2sinxcosx + cos^2x) + (sin^2x - 2sinxcosx + cos^2x)
Using the trigonometric identity sin^2x + cos^2x = 1, we can simplify further:
(1 + 2sinxcosx + 1) + (1 - 2sinxcosx + 1)
Simplifying the expression, we have:
2 + 2sinxcosx + 2
Combining like terms, we get:
4 + 2sinxcosx
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The graph compares the weights in pounds of 100 dogs and cats that are brought in
to a veterinarian's office. Using the medians, how much more does a typical dog weigh than a typical cat?
Answer:20
Step-by-step explanation:this is wrong
Answer:
40
Step-by-step explanation:
subtract median of dogs and median of cats
how would i anwser this? help pls!
Answer:
Step-by-step explanation:
To get the y values all you need to do is substitute the x value in the equation y=-2/3x+7.
For example:
y=-2/3(-6)=7
-2/3x6=-4
-4+7=3
(-6,3)
You can double check your work by filling the x and y coordinates in the equation and when solved if it it true you know you were correct.
To get the x value, you need to fill in the y in the equation y=-2/3x+7
for example:
5=-2/3x+7
-2=-2/3x
3=x
(3,5)
y=-2/3x+7
y=-2/3(15)+7
y=-10+7
y=-3
(15,-3)
y=-2/3x+7
15=-2/3x+7
8=-2/3x
-12=x
(-12,15)
Can you please help me out with a question
Solution
Step 1
Write the expression for the surface area of a hemisphere
\(\text{Surface area of a hemisphere (A}_1)=\text{ 2}\times\pi\times r^2\)Where
π = 3.14
r= 4.5 inches
Step 2
Write the expression for the surface area of a cone
\(\begin{gathered} \text{Surface area of a cone (A}_2)\text{ = }\pi\times r\times l \\ l\text{ = slant height } \\ To\text{ find l we use Pythagoras theorem} \\ \end{gathered}\)Step 3
Draw the triangle and find l using Pythagoras theorem
From the diagram
l²= 4.5²+10²
l =√(100 + 20.25)
l= √120.25
l = 10.97 inches
Step 4
Find the area of the hemisphere and cone by substitution and calculation
\(\begin{gathered} A_{1\text{ }}=2\times3.14\times4.5^2 \\ A_1=127.17in^2 \\ A_2=\text{ 3.14 }\times\text{ 4.5 }\times\text{ 10.97} \\ A_2=155.0061in^2 \end{gathered}\)Step 5
Find the total surface area of the shape
\(\text{The total surface area of the shape = A}_1+A_2=127.17+155.0061=282.18in^2\text{ approxi}mately\)Hence the total area of the shape = 282.2 in²
Option F is the right answer
Find the value of the expression where x=-1, y = 3, and z=-4.
4x-z
——-
2y
Select the correct answer.
Which inequality is represented by this number line?
Answer:
A
Step-by-step explanation:
A shipment 12 of microwave ovens contains 2 defective units. A restaurant buys 3 of these units. What is the probability of the restaurant buying at least 2 nondefective units? round three decimal places
Answer:
91%
Step-by-step explanation:
Total probabilities = 12! / (4!8!) = 479,001,600 / 967,680 = 495
Probability of no defective unit = ₁₀C₄ = 10!/4!6! = 3,628,800 / 17,280 = 210
Probability of one defective unit = ₁₀C₃ · ₂C₁ = 10!/3!7! · 2!/1! = 120 · 2 = 240
Probability of no more than one defective unit = (210 + 240) / 495 = 450 / 495 = 91%
A nurse supervisor found that staff nurses complete a certain task in 10 minutes, on average. If the times required to complete the task are approximately normally distributed with a standard deviation of 3 minutes, find:
a) The percentage of nurses completing the task in less than 5 minutes.
% (e.g. 15.55%)
b) The percentage of nurses requiring more than 10 minutes to complete the task.
% (e.g. 15.55%)
c) The probability that a nurse who has just been assigned the task will take between 8 and 12 minutes to complete it.
(e.g. 0.7512)
d) The slowest 20% are given additional training. What task times qualify staff nurses for such training?
min (e.g. 45.5 min]
A) The percentage of nurses completing the task in less than 5 minutes is approximately 4.75%. b) The percentage of nurses requiring more than 10 minutes to complete the task is approximately 50%
To solve this problem, we will use the properties of the normal distribution and z-scores. Given that the average completion time for the task is 10 minutes and the standard deviation is 3 minutes, we can proceed with the following calculations:
a) To find the percentage of nurses completing the task in less than 5 minutes, we need to calculate the z-score corresponding to a time of 5 minutes and then determine the area under the normal distribution curve to the left of that z-score.
The z-score formula is given by: z = (x - μ) / σ
where x is the time in question (5 minutes), μ is the mean (10 minutes), and σ is the standard deviation (3 minutes).
z = (5 - 10) / 3 = -5/3 ≈ -1.67
Using a standard normal distribution table or a calculator, we can find that the area to the left of -1.67 is approximately 0.0475 or 4.75%. Therefore, approximately 4.75% of nurses complete the task in less than 5 minutes.
b) To find the percentage of nurses requiring more than 10 minutes to complete the task, we calculate the z-score for a time of 10 minutes and find the area to the right of that z-score.
z = (10 - 10) / 3 = 0
The area to the right of z = 0 is 0.5 or 50%. Therefore, approximately 50% of nurses require more than 10 minutes to complete the task.
c) To find the probability that a nurse will take between 8 and 12 minutes to complete the task, we need to find the area under the curve between the z-scores for 8 and 12 minutes.
z1 = (8 - 10) / 3 = -2/3 ≈ -0.67
z2 = (12 - 10) / 3 = 2/3 ≈ 0.67
Using a standard normal distribution table or a calculator, we find the area to the left of z = -0.67 as approximately 0.2514, and the area to the left of z = 0.67 as approximately 0.7514. Therefore, the probability that a nurse will take between 8 and 12 minutes to complete the task is approximately 0.7514 - 0.2514 = 0.5 or 50%.
d) To find the task times that qualify staff nurses for additional training, we need to determine the z-score corresponding to the slowest 20% of completion times and then convert it back to the original time scale.
The z-score corresponding to the slowest 20% is found by locating the z-score that has an area of 0.2 to its left. Using a standard normal distribution table or a calculator, we find this z-score to be approximately -0.84.
Now, we can convert the z-score back to the original time scale:
z = (x - μ) / σ
-0.84 = (x - 10) / 3
Solving for x, we have:
-0.84 * 3 = x - 10
-2.52 = x - 10
x = 10 - 2.52
x ≈ 7.48
Therefore, the task times that qualify staff nurses for additional training are approximately greater than 7.48 minutes.
In summary:
a) The percentage of nurses completing the task in less than 5 minutes is approximately 4.75%.
b) The percentage of nurses requiring more than 10 minutes to complete the task is approximately 50%
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Urgent help!
In 1982 the number of Starbucks was 5 shops. It has exponentially grown by 21% yearly.
A: write a function (equation) that models the number of Starbucks n(t) in t years
B: find the project number of shops after 15 years
C: find the number of years required for the number of shops to reach 500
Answer: Check below!!!
Step-by-step explanation: A) n(t) = 5 * (1 + 0.21)^t
B) To find the projected number of shops after 15 years, we can plug in
t = 15 into the equation:
n(15) = 5 * (1 + 0.21)^15 = 5 * 2.157 = 10.785
So, after 15 years, the projected number of Starbucks would be approximately 10.785.
C) 500 = 5 * (1 + 0.21)^t
Taking the natural logarithm of both sides, we get:
ln(500) = ln(5 * (1 + 0.21)^t)
ln(100) = ln((1 + 0.21)^t)
Using logarithm properties, we can simplify the equation to:
2 = t * ln(1 + 0.21)
And finally, solving for t, we get:
t = 2 / ln(1 + 0.21)
t ≈ 40.07
So, it would take approximately 40.07 years for the number of Starbucks to reach 500.
1. Based on the circular
angle below. What is the
best measurement
the angle?
for
a. less than 90°
b. more than 90°
C. more than 180°
d. less than 60°
Answer:
B. More than 90
Step-by-step explanation:
Hope this helps!
What is another name for the starting value of a function? Select all that apply. I slope c-intercept O y-intercept Initial value rate of change
Answer:
The answer is "Initial value".
Step-by-step explanation:
The initial function value was its feature desired output unless the input signal is 0. It's an input valuing name, as well as the name for just a function's performance values set. In all input forces are defined as their function domain as well as the range of its program is called the output collection.
Answer:
initial value
Step-by-step explanation:
I need helppppppppppppppppppppppppppppppppp
Answer:
y = 14 and lh = 16
Step-by-step explanation:
i already answered this in ur other question
50 points to whoever answers!!
Answer:
create a line between (0,0) and (1,3)
the unit rate is 3/2 or 1.5
Step-by-step explanation:
pls mark
Please awnser asap I will brainlist
They can buy 120 vans, 60 small trucks, and 80 large trucks.
How to find the number of van, small trucks and large truck needed?The truck company plans to spend 10 million on 260 vehicles. Each commercial van cost 25,000 dollars. Each small truck 50,000 dollars and each large truck 50,000 dollars. They needed twice as many van as small truck
Therefore,
let
s = number of small truck
number of van = v
let
l = number of large truck
v + s + l = 260
25,000(v) + 50,000(s) + 50,000(l) = 10,000, 000
v + 2s + 2l = 400
Hence,
v = 2s
So,
2s + 2s + 2l = 400
4s + 2l = 400
2s + s + l = 260
3s + l = 260
2s + l = 200
s = 60
l = 200 - 2(60)
l = 200 - 120
l = 80
v = 2(600 = 120
Therefore, they can buy the following:
number of small truck = 60
number of van = 120
number of large truck = 80
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What part of an hour passes from 3:12 p.m. to 5:30 p.m.?
Answer:
2.3 hours
Step-by-step explanation:
From 3:12 pm to 4:12 pm, one hour passes.
From 4:12 pm to 5:12 pm, another hour passes.
From 5:12 pm to 5:30 pm, there are 18 minutes that pass.
Therefore, the total time elapsed is 2 hours and 18 minutes out of 60 minutes in an hour.
To convert this to a fraction, we can write:
2 hours + 18 minutes = 2 + 18/60 hours = 2.3 hours
So, 2.3/1 hour passes from 3:12 pm to 5:30 pm.
PLEASE ANSWER QUICK
The slopes of a quadrilateral are 2/5, 5/4, 5/4, and 2/5. What conclusion about this shape can be made?
A. The quadrilateral is a trapezoid, because there are two pairs of equal slopes, and thus two pairs of parallel opposite sides.
B. The quadrilateral is a parallelogram, because there is one pair of equal slopes, and thus one pair of parallel opposite sides.
C. The quadrilateral is a trapezoid, because there is one pair of equal slopes, and thus one pair of parallel opposite sides.
D. The quadrilateral is a parallelogram, because there are two pairs of equal slopes, and thus two pairs of parallel opposite sides.
Based on the definition of parallelogram, the conclusion about the quadrilateral is that: D. The quadrilateral is a parallelogram, because there are two pairs of equal slopes, and thus two pairs of parallel opposite sides.
What are the Properties of a Parallelogram?If a quadrilateral is a parallelogram, the two pairs of opposite sides will be parallel to each other.
If two sides of a shape have the same slopes, it then means the shape is a parallelogram.
The quadrilateral that is given is said to have the following:
Two equal slopes of 5/4 and 5/4; and 2/5 and 2/5, this means the sides that have the same slope values are opposite to each other.
Since they are opposite to each other and they have the same slope, therefore, the conclusion about the described shape is: D. The quadrilateral is a parallelogram, because there are two pairs of equal slopes, and thus two pairs of parallel opposite sides.
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X+4
What is the solution of
2x-1
*** <0
?
-4
04s x51/
0
45x< 1 / 1
4
O <
.
Step-by-step explanation:
can you snap a picture for this question bcs i cant understand the question