Answer:
11 + (5 + 2)² = 11 + 7²
= 11 + 49
= 60
Step-by-step explanation:
Star with the brackets.
5+2=7
7² = 49
11 + 49 = 60
What is the measure of angle b
Answer:
51 ?
Step-by-step explanation:
90-39= 51. I hope its correct
Answer:
51 degrees
Step-by-step explanation:
Well if you look at the picture angle b and the 39 degrees angle together must make a 90 degree angle
90-39 is 51 so therefor angle b must be 51 degrees
if 6 people can walk 12 dogs, how many people are needed to walk 24 dogs
Answer:
12 people are need to walk 24 dogs
Step-by-step explanation:
12/2=6
24/2=12
Answer:
12 people can walk 24 dogs.
Step-by-step explanation:
Given information,
→ 6 people can walk 12 dogs.
→ People required for 24 dogs = ?
Let us assume that,
→ Missing value = p
Forming the equation,
→ 6/12 = p/24
Then the value of p will be,
→ 6/12 = p/24
→ p/24 = 6/12
→ p × 12 = 6 × 24
→ 12p = 144
→ p = 144/12
→ [ p = 12 ]
Hence, the value of p is 12.
want more detailed explanation step by step thanks in advance
The function with the greater rate of change is: y = 7x + 9.
How to Determine the Rate of Change of a Linear Function?The slope-intercept form of a linear function is expressed as y = mx + b, where the rate of change is represented as m.
The rate of change for a linear function can also be calculated if we are given a table of values by using just two pairs of points from the table then plugging the values into the formula for rate of change, which is given as:\
m = change in y / change in x = y2 - y1/x2 - x1.
Given the linear function, y = 7x + 9, the rate of change is: 7.
Using two pairs of points from the table of values given, say, (0, 3) and (5, 18):
Rate of change (m) = (18 - 3)/(5 - 0)
Rate of change (m) = 15/5
Rate of change (m) = 3
Thus, the function with the greater rate of change is: y = 7x + 9.
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PLS HELP! weights (in pounds) of catfish caught in the river: 4.8 3 2.7 4.4 4.8 9.9 What is the outlier? A) 3 lbs B) 4.8 lbs C) 9.9 lbs D) none
The correct answer is C) 9.9 lbs as it is above the upper boundary 6.4865, it is the outlier in this dataset.
What is an outlier?An outlier is an observation that is much higher or lower than the other observations in a dataset.
In this case, the weights of the catfish range from 2.7 to 4.8 lbs, with one observation that is much higher at 9.9 lbs.
Therefore, 9.9 lbs is the outlier in this dataset.
To find the outlier in this dataset, we can calculate the interquartile range (IQR).
This is done by first calculating the first quartile (Q1) and third quartile (Q3).
The Q1 for this dataset =3.75
and the Q3= 4.675.
IQR= Q3 - Q1
= 0.925.
We then calculate the lower boundary as Q1 - (1.5 x IQR) = 2.3625.
The upper boundary is Q3 + (1.5 x IQR)= 6.4865.
Since 9.9 lbs is above this upper boundary, it is the outlier in this dataset.
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2 Question 3 3.1 The layout plan of the copy room at Hills Secondary is given below.
3.1 justify a reason whether or not copier is suitably placed in room (3)
Based on these considerations, it is necessary to assess the specific layout plan and the surrounding environment to determine whether the copier is suitably placed in room (3) at Hills Secondary.
To determine whether the copier is suitably placed in room (3) at Hills Secondary, we need to consider factors such as accessibility, noise, and convenience.
Firstly, we need to evaluate the accessibility of the copier in room (3). Is it easily accessible for all students and staff who need to use it? If the copier is located in a central position within the school or close to high-traffic areas, it would be considered suitable.
However, if it is tucked away in a corner or not easily visible, it may cause inconvenience and hinder access for users.
Secondly, we should consider noise levels. Copiers can be noisy machines, and if room (3) is located near classrooms or areas where students require a quiet environment, it may not be an ideal placement. Noise disturbances could disrupt learning activities and cause distractions.
Lastly, convenience plays an important role. Room (3) should be spacious enough to accommodate the copier and allow users to operate it comfortably. If the room is cramped or lacks proper ventilation, it may cause inconvenience for users and impact the overall workflow.
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Question 1 of 13
Chloe and Julia are running partners. In a series of practice runs, they run
longer and longer distances without changing pace. They each set up a table
to show the ratios of distance to time for their runs.
Chloe
Julia
Distance (m) Time () Distance (m) Time (s)
25
4.
30
5
50
00
60
10
75
12.
90
15
100
16
150
25
150
24
300
50
300
48
Which statement is true about the ratios shown?
Answer:
I'm here to help. If you can put a picture of the answer choices I can give you the answer!
Step-by-step explanation:
2(x+4)=18 help and hurry
Answer:
x = 5
Step-by-step explanation:
2x + 8 = 18
2x = 10
x= 5
Answer:
11
Step-by-step explanation:
2x - 4 = 18
2x = 18 + 4
2x = 22 (divide both sides by 2 to get x)
2x/2 = 22/2
x = 11
Simplify
1203
52
4 100
551
044
5
421
50
0
127
152
Answer:
The answer is C
Step-by-step explanation:
I pick that answer because you have divide
Given the function f(x) = 8x + 2 , evaluate f6
What is the area of the trapezoid
Answer:
150
Step-by-step explanation:
srry if incorrect but thats what i got
A second function, g, is defined by
g
(
x
)
=
–
3
x
+
2.
Select the correct phrase in each drop-down menu to complete the sentence.A second function, g, is defined by
g
(
x
)
=
–
3
x
+
2.
Select the correct phrase in each drop-down menu to complete the sentence.
The figure shows a graph of the function fx in the coordinate plane. f2 is greater than g2.
As the graph of function f(x) is a parabola, so that the equation of function f(x) is:
f(x) = \(ax^2+bx+c\)
As it can be seen in thee figure, the graph of function f(x) cross points (0;8) ;(-2; 0) and (4;0)
=> f(0) = 8; f(-2) = 0; f(4) = 0
We have:
f(x=0) = a x 0 + b x 0 + c = 8 => c = 8
We have:
+) 4a -2b + 8 = 0 => 2 x (4a -2b + 8) = 8a - 4b + 16 = 0 (1)
+) 16a + 4b + 8 = 0 (2)
We take (2) minus (1)
=> (16a + 4b + 8) - (8a - 4b + 16) = 0
=> 8a - 8 = 0 => a = 1
Replace a = 1 into (1)
=> 8 x 1 - 4b + 16 = 0 => b = 6
f (2) = 2^2 + 6 x 2 + 8 = 24
g (2) = 3 -2 + 2 = 3
Thus, f(2) is greater than g(2).
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what algebraic expression is a translation of "three more than the quotient of eight times a number of seven"?
\(3 + \frac{8x}{7} \)
Find the distance between the two points in simplest radical form.
(2,-5) and (7,7)
Answer:
13
Step-by-step explanation:
use distance formula \(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\d= \sqrt{(7-2)^2+(7-(-5))^2} =13\)
Which expression represents a cube root of 1 + i?
OVE (cos()+ i sin (24))
OVE (cos (37) + i sin (3))
/
O & (cos (4) + i sin (24))
V2 (cos (37) + 1 sin (37))
Answer:c
Step-by-step explanation is va cuz when your multiply:
Answer:
\(\sqrt[6]{2}\left(\cos\left(\frac{3\pi}{4}\right)+i\sin\left(\frac{3\pi}{4}\right)\right)\)
Step-by-step explanation:
The analysis is as attached below.
In a survey, the planning value for the population proportion is p*= 0.25. How large a sample should be taken to provide a 95% confidence interval with a margin of error of 0.06? Round your answer up to the next
whole number.
The sample should be taken to provide a 95% confidence interval is 200.
What is a confidence interval?A confidence interval is made up of the mean of your estimate plus and minus the estimate's range. This is the range of values you expect your estimate to fall within if you repeat the test, within a given level of confidence.
Confidence is another name for probability in statistics.
Given the planning value for the population proportion,
probability, p = 0.25
q = 1 - p = 1 - 0.25
q = 0.75
margin of error = E = 0.06
value of z at 95% confidence interval is 1.96,
the formula for a sample is,
n = (z/E)²pq
n = (1.96/0.06)²*0.25*0.75
n = 200.08
n = 200 approx
Hence sample size is 200.
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One card is drawn from a standard deck of 52 playing cards. Find the probability of each of the following events:
1) Probability of drawing a spade is 14
2) Probability of drawing a seven is 1/13
3) Probability that a heart or spade is drawn = 1/2
4) Probability that blackjack is drawn = 1/26
Simply put, the probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.
1) There are 13 spades in total.
hence, the likelihood of drawing a spade is 13/52, or 14.
2) The sum of the seven is four. (4 suits are in the room)
Probability = 4/52 = 1/13
(3) A heart or spade is drawn.
Total hearts and spades: 13 + 13 = 26
Probability = 26/52 = 1/2
4) A blackjack is drawn, with a total of two blackjacks.
Probability = 2/52 = 1/26.
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Use the distributive property.
Simplify the expression below.
5(x - 2) =_-_
~\(\frak{LoveYourselfFirst:)}\)
Hey there!
Do you remember what the Distributive property states? If not, no worries! Here's what this property states:
a(b+c)=ab+ac
In this formula, a, b, and c can be
Constants. These are numbers like 1, 2, 3, or -1, -2, -3... or even fractions, decimals... (all real numbers)Variables. These are letters like d, a, s, e, t, k, a...Variables can have a number next to them; it's called a coefficient.Now that we know what this property states, let's simplify this expression.
5(x-2)
First, multiply 5 times x:
5x (5 is the coefficient of x, by the way)
Then, multiply 5 times -2 (please pay attention to the sign) :)
-10
Put both terms together.
Hence, the simplified expression is
\(\boxed{\boxed{\bold{5x-10}}}\)
Is it possible to simplify the expression any further? No.
Why? Because 5x and -10 aren't like terms, so we cannot combine them.
Hope everything is clear.
Let me know if you have any questions!
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:-)
You have 1900 feet of fencing to enclose a rectangular playground and subdivide it into two smaller playgrounds by
placing the fencing parallel to one of the sides, as shown in the figure. Express the area of the playground, A, as a
function of one of its dimensions, X.
Answer:
A= x(950-x)
Step-by-step explanation:
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
Lucy buys baseball cards in packages of 10. List the number
of baseball cards for 0 to 4 packages in the table. Then write the ordered pairs.
Answer:
Write the following numbers in order from smallest value to largest value: 1.75, 1. Justify your answer. 4. If 2x2 – x + 6 is subtracted from x2 + 3x – 2, ...
Step-by-step explanation:
1. Which number is irrational?
(A) (B) (C) 0.3333 (D)
2. In which group are the numbers arranged in order from smallest value to largest value?
(A) π, 3.14, (B) 3.14, π
(C) , 3.14, π, (D) 3.14, , π,
3. Write the following numbers in order from smallest value to largest value:
1.75, 1
Justify your answer.
4. If 2x2 – x + 6 is subtracted from x2 + 3x – 2, the result is
(A) x2 + 2x – 8 (B) x2 – 4x + 8 (C) –x
2 + 2x – 8 (D) –x
2 + 4x – 8
Convert 506 minutes to hours and minutes.
Answer:
8 hours and 26 minutes
Step-by-step explanation:
To convert 506 minutes to hours and minutes, we can use the fact that there are 60 minutes in one hour.
First, we can divide 506 by 60 to find the number of hours:
506 ÷ 60 = 8 with a remainder of 26
This means that 506 minutes is equal to 8 hours and 26 minutes.
Therefore, the conversion of 506 minutes to hours and minutes is:
8 hours and 26 minutes
1.)Which of the following is a linear inequality in two variables?
a. 3x≤16
b. 3m-4m>5
c. 9q+4<12
d. 11+2t ≥ 3?
\( \large╚»★«╝ { \mathcal{Answer }}╚»★«╝\)
The Correct option among them is B
\( \sf3m - 4n > 5\)_____________________________________
The other options have one variable each, but according to the given question there should be two variables in the inequality.
The only choice satisfying the conditions is Option B
having two variables in it ( that is "m" and "n" )
\( ꧁ \: \large \frak{Eternal \: Being } \: ꧂\)
A sample that is not representative of the population it is supposed to describe could be affected by _______.
Answer:C: A representative sample is a sample in which all of the relevant members of the population are sampled
Step-by-step explanation:
Tricia has $37.25 in her account. Which shows the amount she will have left after she writes a check for $23.99?
A. $12.36
B. $12.74
C. $13.26
D. $13.74
The amount she will have left after writing a check for $23.99 is $13.26. The correct answer would be an option (C).
What is the Subtraction operation?Subtraction is a mathematical operation that deducts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
Tricia has $37.25 in her account, if she writes a check for $23.99, to find the amount left after that we need to subtract the check amount from her initial amount.
⇒ initial amount - check amount
⇒ $37.25 - $23.99
Apply the subtraction operations, and we get
⇒ $13.26
Therefore, the amount she will have left after writing a check for $23.99 is $13.26.
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Write the equation of the line that passes through the point (-2, 7) and is PARALLEL to the line y = -4x + 1.
Answer:
The equation is \(y=x-9\)
Step-by-step explanation:
If we want a line parallel to the line in the problem it will have the same slope. The equation given in the problem is already in slope intercept form so we can take the slope for the new equation directly from this equation.
The slope-intercept form of a linear equation is: \(y=mx+b\)
Where m is the slope and b is the y-intercept value.
\(y=1x-2\)
Therefore the slope is
\(m=1\)
We can now use the point-slope formula to write the equation of the parallel line:
The point-slope formula states:
\((y-y1)=m(x-x1)\)
Where m is the slope and \((x1,y1)\) is a point the line passes through.
Substituting the information from the problem gives:
\((y- (-7)=1(x-2)\)
\((y+7)=1(x-2)\)
Or, we can solve for y to put the equation in slope-intercept form:
\(y+7=x-2\)
\(y+7-7=x-2-7\)
\(y+0=x-9\)
\(y=x-9\)
A university student is selecting courses for his next semester. He can choose from 8 science courses and 4 humanities courses. In how many ways can he choose 4 courses if more than 2 must be science courses
The number of ways which he can choose 4 courses if more than 2 must be science is; 224 ways.
Combination of outcomes;
He can choose from 4 humanities courses and 8 science courses.
If the condition requires that he chooses more than 2 science courses, it follows that;
He can only choose three science courses and only 1 humanities courses.
8C3 x 4C1 = 56x 4 = 224
On this note, the number of ways he can choose the required 4 courses is; 224 ways.
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A group of people surveyed about whether they prefer to bike or run to exercise, and whether they prefer summer or winter weather. The results are in the table
The value that will be in the blank would be = 165
The percentage that will like to run that prefer summer = 60%
What percentage would prefer to run in summer?On the given table, the total amount of individuals in each column should be the same.
Therefore, for the bike column = 231 + 87 = 318
Therefore the number of people that will like to home and also prefer the winter weather would be = 318-153 = 165.
To find the percentage that will like to run that prefers summer, the following is carried out;
The number of people that will like to run = 231
The number of people that will like to bike = 153
Total = 153+231 = 384
Therefore percent = 231/384×100/1
= 23100/384
= 60%
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The perimeter of a rectangle is 360 centimetres. If the ratio of its length to its width is 11:4, find the dimensions of the rectangle.
Answer: Length 132cm, Breadth 48cm
Explanation:
Perimeter = 360cm
Let the length and breadth be x
ATQ
2(11x + 4x) = 360
22x + 8x = 360
30x = 360
x = 360/30
x = 12
Length = 11×12
= 132 cm
Breadth = 4×12
= 48cm
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PLEASE HELP QUICK WILL GIVE BRAINLIEST
Answer:
+ and -
Step-by-step explanation:
+ positive
- negative
All the true statements
The true statements about the number line are (c) JMK = 50 and (d) KML = 35 while the true statements about the angles are (c) JMK = 50 and (d) KML = 35
How to select all the true statements?The number line
On the number line, we have the following points:
A = -2
B = 1
C = 6
Lengths cannot be negative.
So, option (A) is false
The length BC is calculated as:
BC = |C - B|
So, we have
BC = |6 - 1| ---- option (B) is true
BC = 5 --- option (E) is false
The point B is between points A and C.
This means that:
(d) AB + BC = AC ---- true
Hence, the true statements are (b) BC = |6 - 1| and (d) AB + BC = AC
The angles
From the figure, we have:
JMK = 6x + 2
KML = 4x + 3
JML = 85
This means that
6x + 2 + 4x + 3 = 85
Evaluate the like terms
10x = 80
Divide by 10
x = 8
Substitute x = 8 in JMK and KML
JMK = 6x + 2 = 6 * 8 + 2 = 50
KML = 4x + 3 = 4 * 8 + 3 = 35
Hence, the true statements are (c) JMK = 50 and (d) KML = 35
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