Given expression:
[tex]0.8 - 0.6[/tex]To simplify the expression as a fraction in simplest form, let us multiply both terms by 10. Then, both terms must also be divided by 10.
[tex]\implies \dfrac{[10(0.8) - 10(0.6)]}{10}[/tex]
[tex]\implies \dfrac{[8 - 6]}{10}[/tex]
[tex]\implies \dfrac{[2]}{10} = \dfrac{2}{10}[/tex]
When 2/10 is simplified in lowest terms, we get;
[tex]\implies \dfrac{2}{10} \implies \dfrac{1 \times 2}{5 \times 2} \implies \dfrac{1}{5}[/tex]
Therefore, 0.8 - 0.6 in fraction form is 1/5.
Find the greatest common factor (GCF) for the pair of 12 and 15
Answer:
3
Step-by-step explanation:
in the image Attached
......
Answer:
3
Step-by-step explanation:
Prime factorize both numbers :
12 = 2² x 315 = 5 x 3The GCF is the highest common term that both terms share.
Hence,
GCF (12, 15) = 3Classify the sample space as finite or infinite. If it is finite, write the sample space. If it is infinite, classify whether it is discrete or continuous.
An angler casts a fishing line into a body of water and its distance is recorded in centimeters.
, 1 of 2.
Select Choice
; , 2 of 2.
Select Choice
Based on the fact that the distance of the fishing line is the sample space being classified, we can say that it is Infinite and Continuous.
Is Distance a continuous variable?Distance is said to be a continuous variable because it can be described as an unlimited value between the objects being measured.
As a result, the distance of the fishing line in this case must be continuous which means that it is infinite by nature.
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Determine whether angle-angle-angle (AAA) is a valid means for establishing triangle congruence. If it is a valid criterion, explain why. If it is not valid, use GeoGebra to create a counterexample demonstrating that it doesn't work and give an explanation. If you construct a counterexample, take a screenshot of your work, save it, and insert the image in the space below. !! I just write in a box!!
A triangle is a fundamental form in geometry. The AAA property can not be used to prove if the triangles are congruent.
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry.
The property angle-angle-angle (AAA), is used for similar triangles. It can not be used to prove that two triangles are congruent triangles. Therefore, it is not a valid criterion.
Now, this can be proved using two triangles having the same angle measurement as 60°. The two triangles given below has the same angle measurement although, their sides have different measurement, thus, the two triangles are not equal.
Hence, the AAA property can not be used to prove if the triangles are congruent.
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Answer: A triangle is a basic geometric shape. Triangle congruence cannot be established using the AAA property. A triangle is a polygon having three vertices and three edges. It is a fundamental geometric figure. For comparable triangles, the property angle-angle-angle (AAA) is employed. It cannot be used to establish the congruence of two triangles. As a result, it is an invalid standard. Now, this may be demonstrated using two triangles with angles equal to or greater than 60°. The two triangles shown below are not equal because they have different side measurements despite having the same angle measurement. The triangles' congruence cannot therefore be established using the AAA property.
Step-by-step explanation:
Find the critical points of the function f(x)=45x^4/5+x^9/5
Answer:
Step-by-step explanation:
[tex]\mathrm{Critical\:Points\:of}\:45\frac{x^4}{5}+\frac{x^9}{5}:[/tex] [tex]x=-\sqrt[5]{20},\:x=0[/tex]
Critical Point Definition:
Critical points are points where the function is defined and its derivative is zero or undefined.Find where [tex]f'(x)[/tex] is equal to zero or undefined
[tex]x=-\sqrt[5]{20},\:x=0[/tex]
Identify critical points not in [tex]f(x)[/tex] domain
Domain of [tex]45\frac{x^4}{5}+ \frac{x^9}{5}: -{ \infty} < x < { \infty}[/tex]
All critical points are in domain
[tex]x=-\sqrt[5]{20},\:x=0[/tex]
Let the given rhombus be abcd in which ab = bc = cd = da = 20 cm and
ac = 24 cm We know that the diagonals of a rhombus bisect each other at right angles
please help me
Answer:
384 cm²
Step-by-step explanation:
Property of rhombus :
Diagonals of rhombus bisect each other and are perpendicular to each otherGiven :
Rhombus ABCD and its diagonals AC and BD bisect each other at O AC ⊥ BDAB = BC = CD = DA = 20 cmAC = 24 cmSolving :
Area of the given rhombus is twice the Area of ΔABC formed by the given diagonal and two adjacent sides.
2 × 1/2 × OB × AC24 × OB24 × √AB² - AO²24 × √20² - (AC/2)²24 × √400 - 14424 × √25624 × 16384 cm²i need help with 7th grade math please 45 points need help ASAP + brainleist
Answer:
25.13 ft
Step-by-step explanation:
Okay, simple. So first and foremost, set up the equation for the circumference of a circle
Circumference: [tex]2\pi (r)[/tex]
The diameter of the circle is 8 which means the radius is 4
So plug it in
[tex]2\pi (4)[/tex]
That will give us 25.13 ft
I really hope this helps!
Solve the equation by completing the square. x^2 + 12x + 36 = 0 x = [?]
Answer:
x = - 6
Step-by-step explanation:
x² + 12x + 36 = 0 ( subtract 36 from both sides )
x² + 12x = - 36
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(6)x + 36 = - 36 + 36
(x + 6)² = 0 ( take square root of both sides )
x + 6 = [tex]\sqrt{0}[/tex] = 0 ( subtract 6 from both sides )
x = - 6
In a classroom of 20 kids, 3 girls are named Stephanie and 2 boys are
named John. The probability that a student picked at random is named
something other than Stephanie or John is what out of what?
Answer:
3/4 or 15/20
Step-by-step explanation:
this is because, you know there is 3 girls named the same thing and two boys named the same thing so if you know there are 20 people in the class, you do 3g + 2b = 5/20
So the fraction is either 15/20 or 3/4 for reduced fraction.
A packaging factory is open from Monday to Saturday.
In a particular week, 15,000 packets were packed on Monday and the factory was also closed on Tuesday.
If no less than 100,000 packets should be packed in that week, what is the minimum equal number of packets that must be packed per day for the remaining days?
packets
Answer:
A minimum of 21250 packets per day.
Step-by-step explanation:
If Monday produced 15,000 packets, and Tuesday was closed they produced 15,000 packets in 2 days.
The factory is open 6 days a week.
They need 100,000 packets.
They have 15,000 packets.
6 subtract 2 is 4.
100,000 subtract 15,000 is 85,000.
They need 85,000 packets in 4 days.
That is a minimum of 21250 packets per day.
21250 is minimum equal number of packets that must be packed per day for the remaining days
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that packaging factory is open from Monday to Saturday.
On monday 15,000 packets were packed.
On tuesday the factory is closed.
The factory has to pack in that week of 100000 packets.
As already 2 days completed by packing 15000
The remaining packets should be packed within 4 days.
The remaining packets are 100000-15000
85000
This should be done with in four days of time.
We need to find the minimum equal number of packets that must be packed per day for the remaining days.
Divide 85000 by 4
85000/4
21250
Hence, 21250 is minimum equal number of packets that must be packed per day for the remaining days
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Question 1 of 10
Which of the following statements regarding the expansion of (x + y)" are
correct?
A. The coefficients of X" and y both equal 1.
B. For any term xyl in the expansion, a + b = n
c. For any term xay in the expansion, a - b = n.
D. The coefficients of yn - 1 and yn – 1 both equal 1.
SUBMIT
The statement regarding the expansion of (x + y)" that is correct is D. The coefficients of yn - 1 and yn – 1 both equal 1.
How to expand?It should be noted that for any positive integer, n, the expression of (x + y)^n will be C(n,0)x^n + C+n, 1)x^n-1 .... C(n, n)y^n.
Here, the statement regarding the expansion of (x + y)" that is correct is that the coefficients of yn - 1 and yn – 1 is both equal to 1.
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A small college with 1,200 total students has a student government of 40 members. From its members, the student government will elect a president, vice president, secretary, and treasurer. No single member can hold more than 1 of these 4 positions.
The permutation formula n Pr can be used to find the number of unique ways the student government can arrange its members into these positions,
What are the appropriate values of n and r?
Answer:
20 New professors
Step-by-step explanation:The current ratio is 1200%2F80 = 15.
The new ratio/proportion should be %281500%29%2Fx = 15.
From here, find x = 1500%2F15 = 100 professors.
They must hire 100-80 = 20 new professors.
Answer: N=40
r=4
Step-by-step explanation:
We use the notation
�
P
�
nPrn, start text, P, end text, r to describe permutations. This notation represents the number of unique arrangements that exist when we select
�
rr objects without replacement from a set of
�
nn distinct objects.
In this scenario, how many students are we selecting to fill positions? How many students are we selecting from?
Hint #22 / 3
The student government is electing
4
44 of its
40
4040 members to fill the positions of president, vice president, secretary, and treasurer. So
�
nn should be
40
4040 and
�
rr should be
4
44.
Hint #33 / 3
These are the appropriate values of
�
nn and
�
rr:
�
=
40
�
=
4
n
r
=40
=4
Volume of prisims ssssssssssss
Answer:
x = 5
Step-by-step explanation:
Volume of Rectangular Prism: Volume = Length*Width*Height
300 = x * x * 12
300 = x^2 * 12
25 = x^2
x = 5
scale drawing of a tree is 4% of the size of the actual tree. The height of the tree in
me drawing is 6 inches. What is the height of the actual tree, in feet?
how your work.
Can a triangle have sides with the given lengths?
9 cm, 4 cm, 11 cm
4). How many ounces are in 3.5 pounds?
Hint: 16 ounces = 1 pound
3.5
a) 4.6 ounces
19.5 ounces X16
c) 50 ounces
d) 56 ounces
3
Answer:
there are 56 ounces in 3.5 pounds.
As a single logarithm, 2log2 6- log29+ 1/3log2 27 = log2 12.
Answer:
true
Step-by-step explanation:
2log2 6- log2 9+ 1/3log2 27 =
= log2 6² - log2 9 + log2 27^(1/3)
= log2 36 - log2 9 + log2 3
= log2 [(36 × 3)/9]
= log2 12
The statement is true.
(d) develop a questionnaire for the based on the research under the study (5 marks) QUESTION TWO (10 MARKS) A marketing company which specializes in the sale of mobile phones has engaged you to investigate into what influences customers in the purchase of its wide range of phones. In your analysis of your administered questionnaires, you performed a regression analysis of certain features and benefits of the phones on customer purchase. Use the summary of the regression output in table 1 to answer the following questions Table I Models Unstandardized Coefficients Standardized Coefficients Sig (Significant) B Standard error Beta (Constant) 1.06 727 0.000 Shape 0.124 0.091 495 Colour 0.217 319 0.003 Sine 0.323 0.069 018 0.020 Name -0.429 0.012 4.023 0.102 Dependent Variable: Customer Purchase Required a. At 95% confidence level, interpret your data with respect to the objectives of the study (3 marks) b. From the analyzed data, what recommendation(s) will you make to the marketing company? (3 marks) c. What would be your answer if the analysis was performed at 99% confidence level (3 marks) dWhich variable makes the greatest impact or influence on customer purchase
Answer:
wait who you again have we met before wait what
Step-by-step explanation:
I dont know you I dont help strangers oh yea can i get the 4 for 4 from wendys
Find the solution(s) to the system of equations represented in the graph. (2,0) (0,-2)
the solution to a system of equation is the point where they intersect. This occurs at (0, -2) and (2, 0).
calculate the difference between the pairs of numbers below 1 and - 1
Answer:
we can get the difference by just subtracting -1 and +1 which will give us 0
Anyone? please help asap i really want to finish this
Note: please add the answer next to the number its from so I can know which question was answered
Answer:
Question 3: [tex]b \geq 2[/tex]
Question 4: [tex]r < -5[/tex]
Question 5: [tex]y \leq -6[/tex]
Step-by-step explanation:
Question 3:
[tex]b + 2 \geq 4\\b + 2 -2 \geq 4 - 2\\b \geq 2\\[/tex]
Question 4:
[tex]13 > 18 + r\\13 - 18 > 18 -18 + r\\\\-5 > r\\ r < -5[/tex]sign flips when r switches sides
Question 5:
[tex]3y \leq 2y - 6\\3y - 2y \leq 2y - 2y - 6\\\\y \leq - 6\\[/tex]
URGANT!!!!
An amount of $17,000 is borrowed for 10 years at 4.75% interest, compounded annually. If the loan is paid in full at the end of that period, how much must be paid back?
Use the calculator provided and round your answer to the nearest dollar.
Answer:
$27,039
Step-by-step explanation:
Calculating the amount of interest :
A = P (1 + r/n)^(nt)A = interestP = principalr = rate of interest (in decimal)n = number of times compoundedt = time (in years)Given values :
P = $17,000r = 4.75% = 0.0475n = 1t = 10Solving :
A = (17,000)(1 + 0.0475/1)¹⁰A = (17,000)(1.0475)¹⁰A = (17,000)(1.59052433)A = $27,039 (nearest dollar)Use the graph below to answer the question that follows: graph of the curve that passes through the following points, 0, 3, pi over 2, 5, pi, 3, 3 pi over 2, 1, 2 pi, 3. What is the rate of change between the interval of x = 0 and x = pi over two? a two over pi b pi over two c pi over four d four over pi
Answer:A
nswer is D. four over pi
Step-by-step explanation:
x1=0, y1=3
x2=pi/2, y2=5
rate of change = (y2-y1)/(x2-x1)
=(5-3)/(pi/2-0)
=4/pi
Part 1:
Based on your knowledge of fair decision making and probability concepts, should the Power Pill be produced and distributed? Explain your reasoning.
Part 2:
What effect (if any) did telling two groups about expected outcomes have on results? Use statistics to provide proof for your reasoning and explain.
Part 3:
Are there any flaws in the testing process? Should any of the steps or protocol be changed/avoided during round two of testing? Explain your reasoning.
The knowledge of fair decision making and probability concepts illustrates that the Power Pill should be produced and distributed.
What is probability?It should be noted that probability simply means the likelihood of the occurence of a particular event.
In this case, the knowledge of fair decision making and probability concepts illustrates that the Power Pill should be produced and distributed.
It's important to adequately carry out a research on the pill and ensure that it's safe.
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Solve Angle B please
Answer:
x = 9
Angle B = 40°
Step-by-step explanation:
Angle A = Angle B
[tex]5x-5=3x+13[/tex]
[tex]5x-3x=13+5[/tex]
[tex]2x=18[/tex]
[tex]x=18/2=9[/tex]
Angle B = 3x + 13 = 3(9) + 13 = 27 +13 = 40°
Hope this helps
Based on a sample of 55 people, the sample mean GPA was 3.33 with a standard deviation of 0.08
The test statistic is:
(to 2 decimals)
The p-value is: (to 2 decimals)
Using the t-distribution, it is found that the desired measures are given as follows:
The test statistic is t = 2.78.The p-value is of 0.01.What are the hypotheses tested?At the null hypothesis, it is tested if the mean GPA of the students is of 3.3, that is:
[tex]H_0: \mu = 3.3[/tex]
At the alternative hypothesis, it is tested if the mean GPA is different than 3.3, hence:
[tex]H_1: \mu \neq 3.3[/tex].
What is the test statistic?The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.The values of the parameters are given as follows:
[tex]\overline{x} = 3.33, \mu = 3.3, s = 0.08, n = 55[/tex]
Hence, the test statistic is:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{3.33 - 3.3}{\frac{0.08}{\sqrt{55}}}[/tex]
t = 2.78.
We are testing if the mean is different of a value, hence we have a two-tailed test. Using a t-distribution calculator, with 55 - 1 = 54 df and t = 2.78, the p-value is of 0.01.
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Which transformations could have occurred to map
ABC to A"B"C?
• a rotation and a reflection
O a translation and a dilation
• a reflection and a dilation
B"
• a dilation and a rotation
What is the independent variable in d= 43t ?
Answer:
t (based on the information you have given)
Step-by-step explanation:
d is dependent on the equation and 43 will probably change
Answer:
43
Step-by-step explanation:
In the expression d = 43t, two variables are visible. One represents constants and the other represents the dependent variable. X is often used to represent the independent variable which is the one that is always manipulated ( I CHANGE ). The 43 represents the variable that is always changing and being manipulated. 43 represents X as it is the representing the manipulated variable.
Factor the polynomial 3x – 75
Answer:
3(x -25)
Step-by-step explanation:
common factor is 3,
75 / 3 = 25
3x / 3 = x
Answer:
3(x-25)
Step-by-step explanation:
The common factor is three
divide both terms by three
3x/3 = x
-75/3 = -25
put them back together with the three outside of the parentheses
3(x-25)
The ratio of cats to dogs at pet shelter is 4 to 3. if there are 36 dogs, how many cats are there?
A. 27
B. 36
C. 48
D. 52
How many solutions over the complex number system does this
polynomial have?
3x6x³4x² + 3x+52=0
Answer:
For this case we have the following polynomial.
We note that the polynomial graph cuts only the vertical axis at one point.
The graph has no other cut points on the x axis
Therefore, the polynomial has:
6 complex solutions
0 real solution
Step-by-step explanation: