Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Find the quotient. If possible, rename the quotient as a mixed number or a whole number. Write your answer in simplest form, using only the blanks needed.
Division Line
3 1 /6 divided by 3
Answer:
[tex]\frac{19}{18}=1\frac{1}{18}[/tex]
Step-by-step explanation:
[tex]3\frac{1}{6}\div3=\frac{19}{6}\div3=\frac{19}{6}*\frac{1}{3}=\frac{19}{18}=1\frac{1}{18}[/tex]
find the value of x in the figure below
assume that the lines are parallel
In the graphic below, assuming the lines are parallel, the value of x is 15.
What is parallel lines?Parallel lines are coplanar infinite straight lines that do not cross at any point in geometry. Parallel planes are planes that never intersect in the same three-dimensional space. Parallel curves are those that do not touch or intersect and maintain a constant minimum distance. Parallel lines in geometry are two lines in the same plane that are at equal distance from each other but never intersect. They can be both horizontal and vertical in orientation. Parallel lines can be found in everyday life, such as zebra crossings, notepad lines, and railway tracks.
Here,
6x+3=7x-12
x=15
The value of x in the figure below assuming that the lines are parallel is 15.
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an expression is shown. 8x^3-12x^2-2x+3
Therefore , the solution of the given problem of expression comes out to be 4x² +1 cannot equal 0 and thus (4x²≥0+1) has no Real factors.
what is an expression means?Verifying an algebraic expression requires substituting a number for each variable and performing arithmetic operations. Given that 6 + 6 equals 12, the answer variable in the example above is equivalent to 6. If we are aware of the values of the variables, we can substitute those values for the original ones, which will allow us to evaluate the expression.
Here,
It is important to note that now the ratio of a coefficient of the terms
The coefficient ratio of the words
8x³ and 2x is 8:2 = 4:1, and the coefficient ratio of the phrases 12x² and 3 is 12:3 = 4:1.
This suggests that we should categorize the original statement as follows:
This suggests that we should combine the original expression, which is written as
=> (8x³+2x)(12x²+3)=2x(4x²+1))3(4x²+1),
before determining the common component (4x2+1)=(2x³)(4x2+1).
The fact that 4x²≥0 for x ∈ R means that
4x² +1 cannot equal 0 and thus (4x²≥0+1) has no Real factors.
Therefore , the solution of the given problem of expression comes out to be 4x² +1 cannot equal 0 and thus (4x²≥0+1) has no Real factors.
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Find the simple interest earned after 2 years on an investment of $3000 at 4.5% interest earned annually.
A. 270
B. $135
C. $3000
D. $4.5
Answer:
A) 270
Step-by-step explanation:
Interest = principle x time x rate
Interest = 3000 x 2 x .045 4.5% = .045 as a decimal
Interest = 270
HELPPP PLEASE!!!!!!!!!??!
Answer:
y = - 1/2x + 6-------------------------------
Slope- intercept form:
y = mx + b, where m- slope, b - y-interceptUse two points on the line:
(0, 6) and (8, 2)The first point is the y- intercept:
b = 6The slope is:
m = (2 - 6)/(8 - 0) = - 4/8 = - 1/2The line is:
y = - 1/2x + 6evaluate function expressions
The given function expressions is 24f + 14g
What is meant by expression?A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. It is possible to multiply, divide, add, or subtract in math. Mathematical expressions are sentences having a minimum of two numbers or variables, at least one arithmetic operation, and a mathematical concept. Let's examine the proper way to write expressions. A mathematical expression for this sentence is x/2 + 6. The components of an expression are integers, variables, and functions (such as addition, subtraction, multiplication or division etc.) It is possible to compare expressions and phrases.Given,
-3 × f (-8) + 7 × g(2)
= -3f (-8) + 7g (2)
Simplifying the above equation,
= -3f (-8) = 24f
= 7g (2) = 14g
Then we get,
= 24f + 14g
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If ABCD is dilated by a factor of 3, the
coordinate of C' would be:
-5
T
NA
А
B
4
3
2
1
-2 -10
-1
-2
-3
1
2
C
3 4 5
D
C' = ([?], [])
Reason:
Point C is located at (3,3)
Triple each coordinate since the scale factor is 3. That's how we go from (3,3) to (9,9)
If the scale factor was 5 for instance, then we'd go from (3,3) to (15,15)
This trick works only if the center of dilation is the origin.
Answer:
C' = (-3, 4)
Step-by-step explanation:
When a shape is dilated by a factor of 3, the size of the shape is multiplied by 3 in both the x and y directions. To find the new coordinates of point C' after a dilation by a factor of 3, we can multiply the original coordinates of point C by 3.
The original coordinates of point C are (-2, -10). When we multiply these coordinates by 3, we get (-6, -30) for the new coordinates of C' after the dilation. So the answer is (-6, -30)
to earn an A in a course, a boy must have a final average of at least 88%. on the first four examinations, he as grades of 85%, 91%, 81%, and 83%. if the final examination counts as two grades, what must be get on the final to earn an A in the course?
He must get at least 97% on the final examination to earn an A in the course.
What must be get on the final to earn an A in the course?To earn an A in a course, a boy must have a final average of at least 88%. On the first four examinations, he had grades of 85%, 91%, 81%, and 83%. If the final examination counts as two grades, the final grade must be at least 91% to earn an A in the course. The total of all five grades must be equal to or greater than 88%. To calculate this, the four grades must first be added together to get the total of the first four grades. In this case, the total is 340. The final grade must then be calculated to get the total of all five grades to equal or exceed 88%.To find the final grade, the 340 must be divided by five, since the final counts as two grades. The result of this calculation is 68. This number must then be added to the final grade to reach a total of 88%. The final grade must therefore be at least 20 points higher than the 68, so 91% or higher. Therefore, to earn an A in the course, the boy must get at least 91% on the final examination, since this counts as two grades.To learn more about weighted average refer to:
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Compute dy using the function y=4x^2 as x goes from −1 to −1.1.
The value of dy when x changes from -1 to -1.1 for equation y = 4x² is 0.84.
Here we are given an equation y = 4x²
In an equation, dy/dx, implies the change in y due to a change in x.
Now here we already have given that x changes from -1 to -1.1.
Hence, here we need to find the values of y when x = -1 and when x = -1.1
Then we need to subtract the value of y when x = -1.1 and when x = -1
We are given y = 4x²
Hence when x = -1,
y = 4 X 1
= 4
When x = -1.1
y = 4 X 1.21
= 4.84
Hence dy = 4.84 - 4
= 0.84
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Plss help!
Calculate the area of the irregular polygon shown below:
A. 24 square inches
B. 44 square inches
C. 54 square inches
D. 84 square inches
The area of the irregular polygon is 24 square inches. Hence option A is the correct option.
What is an irregular polygon?
An irregular polygon does not have all of its sides equal, nor are all of its angles equal in size. Scalene triangles, right triangles, isosceles triangles, rectangles, parallelograms, irregular pentagons, irregular hexagons, and so on are examples of irregular polygons.
The length of DE is 5 in and HI is 5in.
The length of AL is 12in.
The length of AD + EH + IL = AL - (DE+HI) = 12 - (5+5) = 2 in
The length of AB = DC = EF = HG = IJ = LK = 7in.
The sum area of the rectangles ABCD, EFGH, and IJKL is
AB×AD + EF×EH + IJ×IL
= 7×AD + 7×EH +7×IL
= 7(AD + EH + IL)
= 7×2
= 14 square inches
The length of DW = EX = HY = IZ = 7 - 6 = 1in.
The area of DWXE is DW×WX = 1×5 = 5 square inches
The area of HYZI is HY×YZ = 1×5 = 5 square inches
The area of the irregular polygon is
14 + 5 + 5 square inches
= 24 square inches
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The function p, where p (z) = -2² +14z - 40, models the profit from Lindsey's store, in thousands of dollars, after a months of opening the store.
Part A
Based on the function, when did Lindsey's store have a profit of zero dollars?
Enter your answers in the empty boxes to correctly complete the sentence.
The store had $0 profit first in month
and then in month
Part B
When did the store have its maximum profit, and what was the profit?
Enter your answers in the empty boxes to correctly complete the sentence.
The maximum profit of $
occurred in month
The store had $0 profit first in month 4 and then in month 10
The maximum profit of $1000 occurred in month 7
When the store has $0 profitThe function is given as
p(z) = -z² + 14z - 40
Next, we set p(z) = -z² + 14z - 40 = 0 and then solve for z.
So, we ha
-z² + 14z - 40 = 0
Rewrite as
z² - 14z + 40 = 0
Factorize
(z - 10)(z - 4) = 0
Solve for z
z = 10 and z =4
So the store had a profit of zero dollars in month 4 and then in month 10
Maximum profitHere, we calculate the vertex using
x = -b/2a = -14/2*-1 = 7
Plugging this value into the function, we get:
p(7) = -7² + 14*7 -40 = 49-98+40 = 1
so the maximum profit was $1000 and it occurs in the month 7.
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Triangle 2 and triangle 3 were created by drawing an altitude in triangle 1. What is the relationship between the green highlighted
segment in triangle 2 and the blue highlighted segment in triangle 1?
A. The highlighted segments are corresponding sides of triangles 1 and 3.
B. The highlighted segments are corresponding sides of triangles 2 and 3.
C. The highlighted segments have no corresponding relationship.
D. The highlighted segments are congruent.
The relationship between the green highlighted segment in triangle 2 and the blue highlighted segment in triangle 1 is D. The highlighted segments are congruent.
What are congruent segments ?Congruent segments are segments in different shapes that have the same length and angle. In other words, they are identical to each other even though they are in different shapes.
The green highlighted segment in triangle 2 and the blue highlighted segment in triangle 1 are congruent segments because the blue highlighted segment was segment the green highlighted segment was derived from which is why they are the same.
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The average person spends about 1/10 of their walking hours with their eyes closed. If Mrs. James was awake for 15 1/2 hours today, how much more time did she have her eyes open than closed.? PLEASE HELP TYSM!!!
Answer:
she had here eyes open for 12.4 more hours than she had them closed
Step-by-step explanation:
1/10 eyes closed = 9/10 eyes open
9/10 is 90% is 0.9
1/10 is 10% is 0.1
15 1/2 is 15.5
15.5 x 0.9 = 13.95
15.5 x 0.1 = 1.55
13.95-1.55 = 12.4
3. Gary's Gardens and Peter's Produce sell carrots in bulk. The table shows how much Peter's Produce
charges for carrots. The graph shows how much Gary's Gardens charges for carrots. For one pound
of carrots, how much more does Gary's Gardens charge than Peter's Produce?
Gary's Gardens
Peter's Produce
Weight (pounds) Cost (dollars)
12
16
28
3.
4
7
Cost (dollars)
50
45
40
35
30
25
15
10
5
10
20
30
40 50 60
Weight (pounds)
70
2
8
100
Therefore , the solution of the given problem of unitary method comes out to be $ 4 for garry and $ 1.33 for peter.
What is a unitary method, exactly?To accomplish a task through using unitary procedure, multiply the number of a tiny slice by two after first determining its size. The unit technique, to put it simply, is used to isolated a programmed object from either a specific set or set of sets. For illustration, 40 pens would cost 400 pounds ($1.01), or Rs. It's feasible that one nation will have complete control over the technique used to do this. Almost all living things have a unique characteristic. It can integrate and reciprocate in equal measure (mathematics, algebra).
Here,
Given :
Garry charges for one carrot for :
=> 12/3
=> $ 4
Peter charges for one carrot :
=> 20/15
=> 4/3
=> $ 1.33
Therefore , the solution of the given problem of unitary method comes out to be $ 4 for garry and $ 1.33 for peter.
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A spinner with repeated colors numbered from 1 to 8 is shown. Sections 1 and 8 are purple. Sections 2 and 3 are yellow. Sections 4, 5, and 6 are blue. Section 7 is orange.
A spinner divided into eight equal colored sections, with one orange, two purple, two yellow, and three blue.
Which statement about probability is true?
The probability of landing on orange is greater than the probability of landing on purple.
The probability of landing on yellow is less than the probability of landing on orange.
The probability of landing on orange is equal to the probability of landing on yellow.
The probability of landing on purple is equal to the probability of landing on yellow.
The statement about probability that is true is that the probability of landing on purple is equal to the probability of landing on yellow. That is option D
What is probability?Probability is defined as the possible outcome of an event which may likely or unlikely occur.
The total number of sections with different colours = 8
Sections 1 and 8 are purple.
Sections 2 and 3 are yellow.
Sections 4, 5, and 6 are blue.
Section 7 is orange
The probability of landing on purple is equal to the probability of landing on yellow. That is;
probability of landing a purple = 2/8 = 1/4
Probability of landing a yellow = 2/8 = 1/4
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Convert $2525 US to Argentine pesos using the conversion $0.23364 US per 1 Argentine peso. Round your answer to the nearest peso.
By using the given relation, we can perform a change of units to get:
$2525 = 108,072.25 Ars.
How to do the conversion?Here we want to do a change of units, from US dollars to Argentine pesos.
We know the relation:
$0.023364 = 1 Ars.
Here we want to convert $2525 to argentine pesos, then we just need to divide by $0.023364
$2525 = ($2525/$0.023364) ars = 108,072.25 Ars.
That is the equivalent amount in Argentine pesos.
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The number of views on a viral video can be modeled by the function J(t)=28(4)^{2t+2}.J(t)=28(4) 2t+2 . Write an equivalent function of the form J(t)=ab^t.J(t)=ab t
The equivalent function of the form J(t)= ab^t is J(t) = 448(16)^(t)
How to write an equivalent function of the form J(t)= ab^t?Equivalent functions are functions that work the same even though they look different. If two exponential functions are equivalent, then the two functions will have the same value when we substitute the same value(s) for the variable(s).
We can write the given function, (t)=28(4)^(2t+2) as:
J(t) = 28(4)^(2t+2)
J(t) = 28(4²)^(t) × 4²
J(t) = 28(16)^(t) × 16
J(t) = 448(16)^(t)
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Use this information to evaluate the following. Hint: do not try to solve for the value of a. loga 2 = 0.36 loga 3 = 0.56 logą 5 = 0.83 (a) loga 15 = 1.39 kor. (E) - log, (b) -.47 (c) log, (8a*) = 8.72
a) To evaluate loga 15, we can use the property of logarithms that states logab = loga + logb. Since 15 = 3 * 5, we can use this property to find that loga 15 = loga 3 + loga 5. Since loga 3 = 0.56 and loga 5 = 0.83, we can add these values to find that loga 15 = 0.56 + 0.83 = 1.39.
The power to which a number must be increased in order to obtain additional values is referred to as a logarithm. The easiest approach to express enormous numbers is this manner.
Numerous significant characteristics of a logarithm demonstrate that addition and subtraction logarithms may also be represented as multiplication and division of logarithms.
b) To evaluate loga(2/5), we can use the property of logarithms that states log(a/b) = loga - logb. Since 2/5 = 2*(1/5) we can use this property to find that loga(2/5) = loga2 - loga(1/5). Since loga2 = 0.36 and loga(1/5) = -loga5, we can subtract these values to find that loga(2/5) = 0.36 - 0.83 = -0.47
c) To evaluate loga (8a^4), we can use the property of logarithms that states log (a^n) = nloga. We get, loga (8a^4)=loga 8 + log (a^4)
=> loga 8 + loga (a^4)
=>3loga 2 + 4 loga a
=>3loga 2 + 4
=>3 * 0.36 + 4
=5.08
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how many more feet of bricks does sofia need? move numbers to the boxes to show the answer
According to the line-plot Sofia needed 10(3/4) more feet of bricks.
What is the line-plot?
A line plot is a graph that shows data as checkmarks or dots across a number line, indicating the frequency of each value.
In the line plot the horizontal line is showing the values of the size in feet of the bricks say 'l'.
The number of vertically aligned crosses at a given value of 'l', indicates the length of bricks for which the 'l' is needed in the project.
Follow the formula - l × n (number of crosses) = total bricks in feet
0/4 × 0 = 0
1/4 × 2 = 2/4
2/4 × 4 = 8/4
3/4 × 3 = 9/4
1 × 6 = 6
To obtain the total size in feet add all the values -
L = 2/4 + 8/4 + 9/4 + 6
L = (2 + 8 + 9 + 24)/4
L = 43/4
L = 10(3/4)
Therefore, the feet of bricks required is 10(3/4).
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30 POINTS!!
whats 1 + 1 ?
Answer:2
Step-by-step explanation:1+1=2
Answer: 2
Step-by-step explanation:
1
+
1
____
2
Help me solve this I have all the questions on the paper
Answer:
x intercepts (-2,0) and (-4,0)
y intercept: (0,8)
Vertex: (-3,-1)
Axis of symmetry x = -3
Step-by-step explanation:
5) Choose the best answer.
Which property is illustrated?
For all expressions a, b, and c, (ab)c = a(bc)
Distributive Property of Equality
Commuttive Property of Multiplication
Multiplication Property of Equality
Division Property of Equality
Associative Property of Multiplication
The best estimate willl 20
Step-by-step explanation:I
Which of the following is expected if the null hypothesis is true for an analysis of variance?
a. SS (between) should be about the same size as SStotal
b. SS (between) should be about the same size as SSwithin
c. MS (between) should be about the same size as MStotal
d. MS (between) should be about the same size as MSwithin
The null hypothesis is true for an analysis of variance -MS (between) should be about the same size as MS within. Option (d) is the correct answer.
If the null is true, MS between and MS within should be about the same since they are both estimates of the same quantity (variance).
The null hypothesis is a characteristic arithmetic theory that suggests that no statistical relationship and significance exists in a set of given, single, observed variables between two sets of observed data and measured phenomena.
The null hypothesis in statistics defines that there is no difference between groups or no relationship between variables.
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7x^2-10=-17 solve by taking square root
The solution to the equation 7x² - 10 = -17 is x = i
How to determine the solution to the equationFrom the question, we have the following parameters that can be used in our computation:
7x^2-10=-17
Express the equation properly
So, we have the following representation
7x² - 10 = -17
Add 10 to both sides of the equation
This gives
7x² = -7
Divide both sides by 7
x² = -1
Take the square roots
x = √-1
Rewrite as
x = i
Hence, the solution is x = i
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NO LINKS!!
Finish the table below:
n t(n)
1 7.5
2 3.75
3 1.875
4
5
b. Name the type of sequence
c. Find an equation for the sequence
Answer:
a) See below.
b) Geometric sequence
[tex]\textsf{c)} \quad a_n=7.5(0.5)^{n-1}[/tex]
Step-by-step explanation:
Part (a)From inspection of the given table, t(n) halves each time n increases by 1.
Therefore:
[tex]\implies a_4=1.875 \div 2 = 0.9375[/tex]
[tex]\implies a_5=0.9375 \div 2 =0.46875[/tex]
Completed table:
[tex]\begin{array}{|c|c|}\cline{1-2} \vphantom{\dfrac12} n&t(n) \\\cline{1-2} \vphantom{\dfrac12} 1& 7.5\\\cline{1-2} \vphantom{\dfrac12} 2& 3.75\\\cline{1-2} \vphantom{\dfrac12} 3&1.875 \\\cline{1-2} \vphantom{\dfrac12} 4& 0.9375\\\cline{1-2} \vphantom{\dfrac12} 5& 0.46875\\\cline{1-2} \end{array}[/tex]
Part (b)As the given sequence has a constant ratio of 0.5, it is a geometric sequence.
Part (c)[tex]\boxed{\begin{minipage}{5.5 cm}\underline{Geometric sequence}\\\\$a_n=ar^{n-1}$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\\phantom{ww}$\bullet$ $r$ is the common ratio.\\\phantom{ww}$\bullet$ $a_n$ is the $n$th term.\\\phantom{ww}$\bullet$ $n$ is the position of the term.\\\end{minipage}}[/tex]
The first term of the sequence is 7.5. Therefore,:
a = 7.5The common ratio is 0.5. Therefore:
r = 0.5Therefore, to write an equation for the given geometric sequence, substitute the found values of a and r into the formula:
[tex]a_n=7.5(0.5)^{n-1}[/tex]A cylinder with base radius of 4 cm and a height of 7 cm is removed from the cuboid.
The remaining solid is to be painted on all its surfaces. Find the area that will be covered in paint.
the total area will be covered in the paint will be 2143.9cm²
What is cylinder?
Two parallel, identical bases connected by a curving surface form a 3D solid shape known as a cylinder. Similar to a disc in shape, these bases. The axis of the cylinder shape is a line drawn through the middle of, or connecting, two circular bases. Perpendicular distance is the measurement separating the two bases, and it is denoted by the letter "h," which stands for height. The distance between the two circular bases' centers and outer edges is known as the cylinder's radius and is denoted by the letter "r". A rectangle and two circles combine to form the cylinder.
A cylinder with base radius of 4 cm and a height of 7 cm is removed from the cuboid.
Volume of cuboid is = 16*15*24 = 5760 cm³
Volume of the cylinder = π r² h = π* 4² *7 = 351.85 cm³
So the surface area of the cylinder = 2π r h = 2*π*4*7 = 175.9 cm²
Total area of the cuboid = 2(240+360+384) = 1968
Toatl area = 1968+175.9 = 2143.9cm²
So the total area will be covered in the paint will be 2143.9cm²
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The distance from a focus to a vertex on a graph of a parabola is not the same as the distance from vertex to a perpendicular point on the directrix.
False
True
Answer:
True
Step-by-step explanation:
True
The average age of 5 students is 10 years. The age of one student is 6. What is the average age of the remaining 4 students?
The the average age of the remaining 4 students is 9.5 years.
Why is mean called the average?The average may be calculated by dividing the total number of values by the sum of all the numbers. An average of the values in a sample of data may be used to determine a mean. In other words, the arithmetic mean is another name for an average. A mean is a term used to describe the average.
The average age of 5 students is 10 years.
∴ Sum of age of 6 students =5 × 10 = 66
⇒ When two more students of age 5 and 1 added to 4 students then, total students will become 8
⇒ Sum of age of 6 students =66 + 6 + 4 = 76
∴ Required average =
76 / 8 = 9.5
=9.5 years
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18. True or False. If a function has a real sero of 4 with a multiplicity of three and an imaginary
zero of 41, then it has a degree of four.
19. True or False. The imaginary number 27 is a nero of ƒ(x) = x² −x² + 4x − 4.
20. True or False. The quotient of (x²-x² − 16x + 16) + (x − 1) is an irreducible quadratic.
For problems 21-26, use the limits of a polynomial to determine the end behavior.
Find the zeros of the function and indicate multiplicity. Then write the polynomial as a
product of linear factors. Sketch the graph, showing all intercepts.
/(x)=x² + 3x²-4
21. lim f(x) =
22. lim f(x) =
23. Zeros of f(x):
24. y-intercept of f(x):
25. Product of linear and irreducible quadratic factors of fix)
26. Sketch of f(x) using end behavior and intercepts. NO Desmos graphs.
The polynomial's zeros must be located using a method of your choice, and the linear expressions that produce those zeros must then be combined in order to describe the polynomial as a product of linear factors.
What is a linear factor of a polynomial?The term "triple zero" or "zero with multiplicity 3" is used to describe this. The power p governs the behaviour close to the x-intercept if a polynomial has a factor of the type (xh)p. A zero of multiplicity p is defined as x=h. The x-axis will be touched at zeros with even multiplicities on a polynomial function's graph.
A real number is multiplied by an imaginary unit, I whose feature i2 = 1 defines it as an imaginary number. Bi is an imaginary number, while b2 is its square. For instance, the square of the fictitious integer 5i is 25. Zero is regarded as both real and fictitious by definition.
You must first determine the polynomial's zeros using the method of your choice, and then combine the linear equations that result in those zeros. If you factor, you will arrive at the third degree polynomial, which must then be sorted through.
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Help help help help help help
Answer: [tex]B. \frac{2}{7} -\frac{2}{k}[/tex]
Step-by-step explanation: