A number line shows
[tex]1 \frac{1}{4} [/tex]
,
[tex] - 2\frac{2}{4} [/tex]
and
[tex]1 \frac{3}{4} [/tex]
which statement is NOT true?
![A Number Line Shows [tex]1 \frac{1}{4} [/tex],[tex] - 2\frac{2}{4} [/tex]and[tex]1 \frac{3}{4} [/tex]which](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/4xW3gIQuLJYnXaBebudTemcMTM75BYdo.jpeg)
Answers
The statement which is not true; B [tex]1 \frac{1}{4} ,[/tex] is less than negative of [tex]- 2\frac{2}{4}[/tex] because [tex]1 \frac{1}{4} ,[/tex] is located to the right of - [tex]- 2\frac{2}{4}[/tex] on the number line.
What is a number line?Integers are arranged at equal intervals along horizontal straight lines called number lines. A number line can be used to represent every number in a series. The endpoints of this line go on forever. Some will have a defined beginning and end. It refers to those as closed number lines. Number lines might be alternatively left empty or blank. A number ladder is a vertical number line.
We need to find number line that shows [tex]1 \frac{1}{4} , - 2\frac{2}{4}[/tex] and - [tex]1 \frac{3}{4}[/tex]
which statement is NOT true;
A. [tex]1 \frac{1}{4} ,[/tex] is greater than negative of [tex]1 \frac{3}{4}[/tex] because [tex]1 \frac{1}{4} ,[/tex] is located to the right of - [tex]1 \frac{3}{4}[/tex] on the number line is true statement.
B. This is not true. [tex]1 \frac{1}{4} ,[/tex] is less than negative of [tex]- 2\frac{2}{4}[/tex] because [tex]1 \frac{1}{4} ,[/tex] is located to the right of - [tex]- 2\frac{2}{4}[/tex] on the number line.
The statement which is not true is Option B
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Related Questions
the graph below shows the relationship between the height and weight of flowers in paulo's garden. for every 1 inch increase in flower height, what is the approximate weight increase in pounds? round your answer to the nearest tenth, if necessary
Answers
The approximate weight increase in pounds for each 1 inch increase in flower height is obtained dividing the weight by the height of a point in the graph.
What is a proportional relationship?A proportional relationship is a linear function with an intercept of zero modeled as follows:
y = kx.
In which k is the constant of proportionality.
For this problem, the variables are given as follows:
Variable y: weight.Variable x: height.The weight increase when the height increases by one inch is given by the constant of proportionality, obtained as follows:
k = y/x.
Missing InformationThis problem is incomplete, hence the general procedure was given to answer the question.
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With a mean of 3 inches with standard deviation of 0.03.
If the manufacturer intends to discard the bottom 2.87% and the top 3.59% of nails, in terms of their lengths, what would be the cut-off lengths for nails to be discarded?
Round your answers to
two decimal places.
Low-end: _______ inches
High-end: ______ inches
Answers
Answer:
To find the cut-off lengths for nails to be discarded, you can use the fact that the mean of the nail lengths is 3 inches, and the standard deviation is 0.03 inches.
The bottom 2.87% of the nails are the shortest 2.87% of the nails, and the top 3.59% of the nails are the longest 3.59% of the nails. You can use the normal distribution to find the number of standard deviations from the mean that the cut-off lengths are.
Since the manufacturer intends to discard the bottom 2.87% and the top 3.59% of nails, you can use the standard normal table to find that the cut-off lengths are -1.28 standard deviations from the mean for the bottom 2.87% and 1.28 standard deviations from the mean for the top 3.59%.
To find the cut-off lengths in inches, you can multiply the number of standard deviations by the standard deviation in inches:
Low-end: -1.28 * 0.03 inches/standard deviation = -0.0384 inches
High-end: 1.28 * 0.03 inches/standard deviation = 0.0384 inches
Rounded to two decimal places, the cut-off lengths are:
Low-end: -0.04 inches
High-end: 0.04 inches
So the manufacturer should discard nails that are shorter than
3 inches - 0.04 inches = 2.96
A student solved the equation below by graphing. log subscript 6 baseline (x -1) = log subscript 2 (2x+2)
Which statement about the graph is true
O The curves do not intersect
O The curves intersect at one point
O The curves intersect at two point
O The curves appear to concide
Answers
Based on the graph of logarithmic function log6(x – 1) = log2(2x + 2), the statement true about the graph is that the curves do not intersect. (Option A)
In the given case, two logarithmic functions are given: log6(x – 1) and log2(2x + 2). The graph of inverse function of any function is the reflection of the graph of the function about the line y=x . All logarithmic graphs in the form f(x)=logb(x) will have a vertical asymptote on the y-axis and an x-intercept at (1, 0) and will pass through (b , 1). Graphing the given function which is attached, it can be seen that the two curves do not intercept and indicates that the equation has no solution.
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Company B needs to hire 30 new employees. Ten percent (10%) of applicants do not
meet the basic business requirements for the job, 12% of the remaining applicants do
not pass the pre-screening assessment, 23% of those remaining applicants do not
show up for the interview, and 5% of those remaining applicants fail the background
investigation. How many applicants need to apply in order to meet the hiring target?
30
45
50
52
60
Answers
The number of applicants that should apply must be 52.
What are percentages?A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”
Given here, Ten percent (10%) of applicants do not meet the basic business requirements for the job, 12% of the remaining applicants do not pass the pre-screening assessment, 23% of those remaining applicants do not show up for the interview, and 5% of those remaining applicants fail the background investigation. Let the number of applicants be x then the number of target applicants will undergo a successive change by -10%,-12%,-23%,-5%, and required number of employees is 30
x × 0.9×0.88×0.77×0.95=30
x =30/0.579348
x= 52(approx)
Hence, The number of applicants that should apply must be 52.
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The dimensions of a garden in the shape of a right triangle are measured in feet (ft). This diagram shows one dimension, in inches (in.), of a scale drawing of the garden and the scale used to create the drawing.
Answers
The length in feet of the longest part of the garden would be = 6ft
What is a garden?A garden is defined as an area that is prepared and set aside for the purpose of growing various flowers, shrubs and grasses.
The area of the given triangle = 54in²
The perimeter of the given triangle = 36 in.
Using the formula for area of a triangle ;
Area = ½ base(b) ×height(h)
where base = 9 in
54 = 1/2 × 9 × h
Make h the subject of formula;
h = 54×2/9
h = 108/9
h = 12
But the perimeter = sum of the whole sides of the triangle
perimeter = 36
side a = 9
side b = 12
side c = X
that is , 36 = 9+12+X
make X the subject of formula;
X = 36-21
X = 15in
Therefore, 15 in when converted to feet;
2 ft = 5 in
X ft = 15 in
xft = 2 × 15/5
X ft = 30/5
X ft = 6ft
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Evaluate the expression √ − 6 /√ − 6 √ − 7 and write the result in the form a + b i
Answers
Answer:
√ − 6 /√ − 6 √ − 7 = -1 + 0i
Step-by-step explanation:
Casey wants to buy a gym membership. One gym has a $150 joining fee and costs$35 per month. Another gym has no joining fee and costs $60 per month. If Casey plans to cancel in 5 months, which is the better option for him? Explain.
Answers
Answer: 2nd gym for $60 is the better option cost wise
Step-by-step explanation: first gym is 5*35 = 175 + 150 = 325 second gym is 5*60 = 300
300<325
Question 1 (Multiple Choice Worth 2 points)
(Slope MC)
What is the slope of the line that contains the points
(-2, -7/2) and (4,-4)?
-1/12
-1/4
1/4
1/12
Answers
The solution is Option A.
The slope of the equation is given by Slope m = -1/12
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the first point be P = P ( -2 , -7/2 )
Let the second point be Q = Q ( 4 , -4 )
The slope of the line between the points is given by the equation ,
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( -4 - ( -7/2 ) ) / 4 - ( -2 )
On simplifying the equation , we get
Slope m = ( -4 + 7/2 ) / 6
Slope m = ( -8 + 7 ) / ( 2 x 6 )
Slope m = -1/12
Therefore , the value of m is -1/12
Hence , the slope of the line is m = -1/12
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what is 120 x (0.02)?
Answers
Answer:2.4
Hope this helps!!Please tell me if correct.
Answer the question below. View the rubric linked above for help if needed.
The √2500 represents the number of ice cream cones an ice cream shop sells in one hour on a Saturday. Evaluate the square root and interpret the answer in terms of the problem. Write a sentence to explain why -√2500 is not a reasonable solution to the problem. Show all work.
Answers
The square root of 2500 (√2500) is 50
-√2500 is not a reasonable solution to the problem because the number of ice cream sold by the ice cream shop would not be a negative value
How to evaluate the radicalThe square root is the inverse of squared hence factoring the numbers to get the numbers whose when squared is 2500 is a way to solve the problem
The factorization is done as follows
factors of 2500: 2 * 2 * 5 * 5 * 5 * 5
= 2² * 5² * 5²
square root of the factors
= √(2² * 5² * 5²)
= 2 * 5 * 5
= 50
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Q6.
Here are two rectangles.
4x
A
2.5
All measurements are in centimetres.
The area of rectangle A is equal to the area of rectangle B.
Work out the perimeter of rectangle B.
2x-3
B
Answers
The perimeter of rectangle B is equal to 29 centimeters.
What does a perimeter mean?
The perimeter of a shape is the space surrounding it. Space inside a shape is measured by area. Learn how to compute the area and perimeter of various forms.
Given the area of the rectangle, A is equal to the area of rectangle B.
That is 2.5(4x)=(2x-3)7
10x=14x-21
4x=21
x=5.25
The perimeter of rectangle B is the sum of all sides= 2(2x-3+7)
The perimeter of B = 4x+8=29 cm.
Therefore perimeter of rectangle B is 29 centimeters.
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How many ways are there to divide 12 books
a. Between two bags
b. Between two bookshelves (order on each bookshelf matters!)
c. Between three bags
d. Between three bookshelves (order on each bookshelf matters!)
Answers
a. There are 66 ways to divide 12 books between two bags.
b. There are 531,441 ways to divide 12 books between two bookshelves where order on each bookshelf matters.
c. There are 2,077 ways to divide 12 books between three bags.
d. There are 1,9,958,126 ways to divide 12 books between three bookshelves where order on each bookshelf matters.
What is probability?Probability is the measure of the likelihood that an event will occur in a given set of circumstances. It is a number between 0 and 1, where 0 indicates that an event is impossible, and 1 indicates that an event is certain to occur. In probability theory, events are often represented by sets of outcomes, called sample spaces, and the probability of an event is defined as the ratio of the number of outcomes in the event to the total number of possible outcomes in the sample space.
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what property is (6+5)+3=3+(6+5)
Answers
The property shown is an example of commutative property of addition.
What is commutative property?A binary operation is commutative if changing the order of the operands does not change the result.
Given that, what property is (6+5)+3=3+(6+5)
The given example is of commutative property,
a+b = b+a, here a = (6+5) and b = 3
In commutative property, the commutative property of addition says that changing the order of addends does not change the sum. Here's an example: 4 + 2 = 2 + 4 4 + 2 = 2 + 4 4+2=2+4.
The commutative property of addition states that a change in the order of the numbers being added does not affect the sum.
Hence, the property shown is an example of commutative property of addition.
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Which choices are equivalent to the expression below?
Check all that apply.
√24
A. √4 . 6
B. 2 .√6
C. √12
D. 24
E. 4 . √6
F. 8 . √6
Answers
A spaghetti dinner fundraiser served 500 people and charged $7 for adults and $4.50 for children. Use x to represent the number of adults served and write an expression to show how much money was raised. Then simplify the expression.
Answers
Answer:
Let x be the number of adults.
adult = x
children = 500 - x
total fund raised from the adult = $7x
Total fund raised from the children = $4.5(500- x)
Total fund raised = 7x + 4.5(500 -x)
7x + 4.5(500 - x) = 7x + 2250 - 4.5x
= 2.5x + 2250
Ans: Total fund raised = $(2.5x + 2250)
Step-by-step explanation:
what’s the correct answer answer asap for brainlist
Answers
Match the equations with the correct solution.
a. All real numbers
b. x=-2
c. x=3
d. no solution
e. x=1
1. 3 x+4=7 x-8
2. 2 x=7 x-5
3. 5 x-8=5 x+12
Answers
The linear equation 3 · x + 4 = 7 · x - 8 has solution x = 3. (Correct choice: C)
The linear equation 2 · x = 7 · x - 5 has solution x = 1. (Correct choice: E)
The linear equation 5 · x - 8 = 5 · x + 12 has no solution. (Correct choice: D)
How to find the solutions of linear equations
In this question we find three linear equations with one variable, whose corresponding solution must be determined by using algebra properties. The complete procedure is summarized below:
Write the linear equation.Clear the variable by algebra properties.Interpret the resulting expression.Now we proceed to apply the procedure for each case:
Case 1
3 · x + 4 = 7 · x - 8
7 · x - 3 · x = 8 + 4
4 · x = 12
x = 3
The linear equation has an unique solution (x = 3). (Correct choice: C)
Case 2
2 · x = 7 · x - 5
7 · x - 2 · x = 5
5 · x = 5
x = 1
The linear equation has an unique solution (x = 1). (Correct choice: E)
Case 3
5 · x - 8 = 5 · x + 12
5 · x - 5 · x = 8 + 12
0 = 20 (CRASH!)
The linear equation has no solution. (Correct choice: D)
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the joint density of y1, the proportion of the capacity of the tank that is stocked at the beginning of the week, and y2, the proportion of the capacity sold during the week, is given by f (y1, y2)
a Find F(1/2, 1/3) = P(Y1 ≤ 1/2, Y2 ≤ 1/3).
b Find P(Y2 ≤ Y1/2), the probability that the amount sold is less than half the amount purchased.
Answers
The joint density of the proportion of the capacity of the tank that is stocked & sold during the week is 1/8 and 1/2. ( a and b)
Let y1 be the percentage of the tank's capacity that is stocked at the start of the week.
y2, the percentage of the weekly capacity sold
The formula for the joint probability density function of y1,y2 is
f(y1 , y2)= { 3y^1 ;0≤ y2≤ y1 ≤1
0, elsewhere.
a)F(1/2,1/3)=P(Y1<=1/2,Y2<=1/3
=∫^1/2 ∫^y1 3y1 d y2 d y1
=∫^1/2 3Y1 ⎥y^2⎥y^1 dy1
=∫ ^1/2 3y1 y1 dy1
=∫ ⎥y^3/3 ⎥^1/2
=1/8
b)P(Y2<=Y1/2)=P(0<=Y1<=1,0<=Y2<=Y1/2
=∫^1 ∫^y1/2 3y1 dy1 dy2
=∫^1 3y1 ⎥ y2 ⎥ ^y1/2 dy1
=∫^1 3y1 y1/2 dy1
=∫^1 3/2y^2 dy1
=3/2 ⎥ y^3/3⎥ ^1^ 0
=1/2
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Find the following quotient. Reduce to lowest terms.
11÷44/35
Answers
Answer:
0.071 is your answer.
Step-by-step explanation:
Or you can write 11/1540. First divide 11/44 and divide 35 by your answer. You will get your answer 0.071 and if you want to have this answer in divide form than your answer is 11/1540.
Please help
Justin used similar triangles to find
the height of a flag pole. When he
stood 7 feet from a mirror laying on
the ground, he could see the top of
the pole in the mirror.
What is the height of the flag pole?
Answers
Answer:
the answer would be 28²
Step-by-step explanation:
I think so 28²
A pound of chocolate cost $6. Ashley buys p pounds. Write an equation to represent the total cost c that Ashley buys
Answers
Answer:
c = 6p
Step-by-step explanation:
6 times the number of pounds that she buys will be the total cost.
Find the solution of the differential equation
y' = 2 square root y . x
Answers
The required solution of the differential equation is given as; y = x⁴/4 + c₁x²/2 + c₁².
What is implicit differentiation?The method of determining the derivative of an implicit function by differentiating each term separately, expressing the derivative of the dependent variable as a symbol, and solving the resulting expression for the symbol.
We are Given the differential equation,
y' = 2 √y . x
y' = dy/dx so,
Therefore, we have
dy/dx = 2√y.x
dy/√y = 2x dx
y = [1/2(x² + c₁)]²
y = x⁴/4 + c₁x²/2 + c₁²
Thus, the solution of the differential equation is given as y = x⁴/4 + c₁x²/2 + c₁² .
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Graph the arithmetic sequence.
$4,\ 12,\ 20,\ 28,\ ...$
Keyboard Instructions
Initial graph state
The horizontal axis goes from -0.8 to 6 with ticks spaced every 1 unit(s).
The vertical axis goes from -2 to 30 with ticks spaced every 4 unit(s).
Answers
The graph of the arithmetic sequence is added as an attachment
How to graph the arithmetic sequence?From the question, we have the following parameters that can be used in our computation:
Sequence: 4, 12, 20, 28....
The above sequence is an arithmetic sequence with the following parameters
First term, a = 4
Common difference, d = 8
So, the x-th term is
f(x) = a + (x - 1) * d
Substitute the known values in the above equation, so, we have the following representation
f(x) = 4 + (x - 1) * 8
This gives
f(x) = 8x - 4
So, the equation to plot is f(x) = 8x - 4
See attachment for the graph
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What is a quartic function with only two real zeros of x=0 and x=4
Answers
The quartic function with only two real zeros of x=0 and x=4 is x² - 4x = 0
What is a quartic function?A quartic function is a quartic polynomial, that is, a polynomial with integer coefficients whose highest degree is four. The coefficient of the variable to the fourth degree cannot be zero. Examples of quartic functions include
From the roots;
a = 0 ; b = 4
From the polynomial expressions
x² - (a +b)x + ab = 0
x² - (0 +4 )x + 0*4 = 0
x² - 4x = 0
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If segment KL is congruent to segment MN, then segment MN is congruent to segment KL.?
Answers
a school has 700 students. 36% if students use public transports. a). how many students use public transport? b). if the school has 250 male students, state the percentage if female students in the school.
Answers
a) There are 700 x 36/100 = 252 students who use public transport.
b) There are 700 - 250 = 450 female students in the school. The percentage of female students in the school is 450/700 x 100% = 64%.
The manager of a store increases the price of a popular product by 7%. Let t be the original
price of the product. The new price is t + 0.07t.
If the original price was $19.99, estimate the new price by first rounding the original price
to the nearest dollar.
Answers
The new price of product can be estimated as $34.
What is an Algebraic expression?An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.
The variable part of an algebraic expression can never be added or subtracted from the constant part.
The original price is given as $19.99.
And, the expression for new price is t + 0.07t.
Where t is the original price.
Plug t = 19.99 to obtain,
⇒ 19.99 + 0.7 × 19.99 = 33.983
Which is approximately $34.
Hence, the new price is obtained as $34.
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4x-(3x-5)=2x+11 x value
Answers
26. A triangular playground has angles with measures in the ratio 8: 7:5. What is the measure of the smallest angle?
28°
45°
6°
39⁰
Answers
Answer:
smallest angle = 45°
Step-by-step explanation:
given ratios of angles 8 : 7 : 5 = 8x : 7x : 5x ( x is a multiplier )
the sum of the 3 angles in a triangle is 180° , then
8x + 7x + 5x = 180
20x = 180 ( divide both sides by 20 )
x = 9
smallest angle measure is 5x = 5 × 9 = 45°
Diego can fill 1 1 5 bottles with 3 liters of water how many liters of water fill 1 bottle
Answers
Answer:
5/2 liters, which is equal to 2 1/2 liters per 1 bottle
Step-by-step explanation:
I see that this problem works with fractions, so I will assume that the final answer must be as such.
1 1/5 is the same as saying 6/5, so how many bottles would 1 liter fill?
(6/5 bottles)/(3 liters) = 2/5 bottles per liter
So two liters would fill a single bottle only 4/5 of the way. What about the last 1/5?
Keep in mind that 1/5 is half of 2/5, so (1 liter)/2 = 1/2 liter
So therefore, you can either add 1/2 a liter to 2 liters, or subtract a liter from 3 liters to get 2 1/2 liters per bottle.
Another way to do this problem is as follows:
The ratio we’re looking at is 3 liters for every 6/5 of a bottle
(3 liters) / (6/5 bottles)
We can invert 6/5 before multiplying out the fraction making this process easier
3 * 5/6 = (3*5)/6
Remember that 6/3=2
So we get 5/2 liters, which is equal to 2 1/2 liters per 1 bottle
