Answer:
[tex]7x(4x-1)[/tex]
Step-by-step explanation:
First, find the largest integer that divides evenly into both numbers. In this case, 28 and 7 are both divisible by 7.
Next, find the highest degree of the variable that divides evenly into both. Here, that's just x. I'll show another example of that below.
Multiply those together, and you get 7x. That is what we need to factor out. Divide by that factor while multiplying by that factor at the same time to keep the value of the expression equal:
[tex]28x^2-7x\\\\7x(\frac{28x^2}{7x}-\frac{7x}{7x})\\\\7x(4x-1)[/tex]
Another example of what I said above would be this:
Take 4x + 2. The largest integer that divides these is 2, and the highest degree of x that divides them is 0. That is an x⁰, and that is equal to 1. Multiply those, and you just get 2.
[tex]4x+2\\\\2(\frac{4x}{2}+\frac{2}{2})\\\\2(2x+1)[/tex]
Pls help me 15 points total
Determine the intercepts of the line.
[tex]y = -3x +12\\\\\text{Plug x = 0 to find y - intercept,}\\\\y = -3(0) +12 = 12\\\\\text{So, y-intercept is (0,12).}\\\\\text{Plug y=0 to find x - intercept,}\\\\0 = -3x +12\\\\\implies -3x = -12\\\\\implies 3x = 12\\\\\implies x = \dfrac{12}{3} = 4 \\\\\\\text{So, x - intercept is (4,0).}[/tex]
which expression simplies to 40x10?
Answer:
i think its 4*1
Step-by-step explanation:
hope this helps
have a great day
~Zero~
Answers
Explainations
Astronomers often measure large distances using astronomical units (AU) where 1 AU is the average distance from Earth to the Sun. In the image, drepresents the distance from a star to the Sun. Using a technique called "stellar parallax," astronomers determined 0 is 0.00001389 degrees.
write an expression to calculate d for any star
By calculating the distance of a star to the Sun, astronomers can calculate the distance from Earth to the star.
[tex]\displaystyle \mathrm{The \ \mathbf{expression} \ to \ calculate \ \mathit{d} \ for \ any \ \mathbf{star} \ is; \ \underline{d \ is \ \frac{1 \, AU}{tan(\theta)}}}[/tex]Reasons
The given parameters are;
The distance from the star to the Sun = d
The angle formed by the ray to the Sun and the ray to Earth from the star, θ = 0.00001389 degrees
The average distance from Earth to the Sun = 1 AU
By trigonometric ratios, we have;
[tex]\displaystyle tan(\theta) = \mathbf{\frac{Opposite}{Adjacent}}[/tex]
Therefore;
[tex]\displaystyle tan(\theta) = \frac{1}{d}[/tex]
The expression to calculate for d for any star is therefore;
[tex]\displaystyle \underline{ d \ is \ \frac{1 \, AU}{tan(\theta) }}[/tex]The angle given for θ for the referenced star is θ = 0.00001389
Therefore;
[tex]\displaystyle d = \frac{1 \, AU}{tan(0.00001389^{\circ}) } \approx 4,124,966.13 \, AU[/tex]
Learn more about trigonometric ratio here:
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A parachutist has made thousands of successful jumps. His assumption is that when he pulls the rip cord, that parachute will open.
What are the null and alternative hypothesis?
Describe a Type I error along with the consequence.
Describe a Type II error along with the consequence.
What is a more serious error in this context? Justify your answer.
Most parachutes have a backup in case the ripcord malfunctions. Does the guard against Type I or Type II errors? Explain.
Suppose you went skydiving and pull the ripcord and it does not function. You have time to pull it again or pull the back up but not both. What would you do?
The null hypothesis is the one in which any statement which is the claim of the experiment is chosen to decide the results for .
The alternate hypothesis is the opposite of the null hypothesis.
Type I Error: Type I Error occurs when H0 is true but it is rejected and Ha is accepted.
Type II Error: Type II Error occurs when Ha is true but it is rejected and the false null hypothesis H0 is accepted which is wrong decision.
In this case the null hypothesis is
H0: On pulling the rip cord the parachute will open.
Ha: On pulling the rip cord the parachute will not open.
In this experiment the alternate hypothesis Ha :On pulling the rip cord the parachute will not open is accepted then type I error occurs.
In this experiment the null hypothesis H0 :On pulling the rip cord the parachute will not open is accepted then type II error occurs.
In this experiment Type I Error is a more serious error because the true null hypothesis H0: the parachute will open is rejected.
In this experiment Type II Error is a more serious error.
Type I and Type II Errors are independent of the confidence interval.
When the parachute has a backup in case of ripcord malfunctions then the confidence level of the hypothesis can be 100 percent. That is we are 100 percent sure that the parachute will land safely and there will be no accidents.
This is does not guard the type I and type II errors because these are made on the wrong decision.
The null and alternate hypotheses can be understood here
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Type I and II Errors can be understood
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Question 3 of 5
764 =
O A. 16
OB. 4
O c. 2
O D. 8
Answer:
b. 4
Step-by-step explanation:
I hope this helps!!
1.8 divided by 3 please.
Answer: 0.6 is the answer
solve for x
2x +2 <14
I need help with this plz
Answer:11cute and undred
Step-by-step explanation:cute11
The cost of a season train ticket is reduced by $87.36 which corresponds to a 39% reduction. Find the original cost of the season ticket.
hey guys , can you help me with this question please … i seriously don’t wanna fail this
Answer:
48
Step-by-step explanation:
You get the third length which is the hypotenuse then you add them all since its asking for the perimeter
a) 9 b) 10 c) 12 d) 15
will give brainliest plz help
[tex]y = \frac{x}{2} [/tex]
[tex]2x + 2y = \sqrt{180} \\ = > 2x + 2( \frac{x}{2} ) = \sqrt{180} \\ = > 2x + x = \sqrt{2 \times 2 \times 3 \times 3 \times 5} \\ = > 3x = 2 \times 3\sqrt{5} \\ = > 3x = 6 \sqrt{5} \\ = > x = \frac{6 \sqrt{5} }{3} \\ = > x = 2 \sqrt{5} [/tex]
[tex]x.y \\ = x \times \frac{x}{2} \\ = \frac{ {x}^{2} }{2} \\ = \frac{ {(2 \sqrt{5} )}^{2} }{2} \\ = \frac{4 \times 5}{2} \\ = \frac{20}{2} \\ = 10[/tex]
Answer:
10
Hope you could get an idea from here.
Doubt clarification - use comment section.
Answer:
b
Step-by-step explanation:
Given
2x + 2y = [tex]\sqrt{180}[/tex] = [tex]\sqrt{36(5)}[/tex] = 6[tex]\sqrt{5}[/tex]
and y = [tex]\frac{x}{2}[/tex] , then
2x + (2 × [tex]\frac{x}{2}[/tex] ) = 6[tex]\sqrt{5}[/tex]
2x + x = 6[tex]\sqrt{5}[/tex]
3x = 6[tex]\sqrt{5}[/tex] ( divide both sides by 3 )
x = 2[tex]\sqrt{5}[/tex]
and y = [tex]\frac{2\sqrt{5} }{2}[/tex] = [tex]\sqrt{5}[/tex]
Then
xy = 2[tex]\sqrt{5}[/tex] × [tex]\sqrt{5}[/tex] = 2 × 5 = 10 → b
cannot decide which of two washing machines to buy. The selling price of each is $. The first is marked down by %. The second is marked down by % with an additional % off. Find the sale price of each washing machine. Use pencil and paper. Explain why should buy the first washing machine rather than the second if the machines are the same except for the selling price.
You should do 585 × 0.50 to find the markdown. Then subtract the markdown from the selling price to find the sale price.
Step-by-step explanation:
Complete the shape below so that AB is a line of symmetry
Erin tried to multiply 70 x 30 by decomposing 70 and 30 into multiples of 10. Her work is below.
A-Step 1
B-Step2
C-Step3
D-Step4
E-Erin did not make a mistakes.
I need to know day 4 and 5 i'm stuck
Answer:
Answer is below and I solved them.
Step-by-step explanation:
Absences from school:
8*3*3*3*3 = 648
Day 4 = 648
8*3*3*3*3*3 = 1,944
Day 5 = 1,944
Absences from Band:
8*3*3+28+28 = 128
Day 4 = 128
8*3*3+28+28+28 = 156
Day 5 = 156
Hope that helps.
Please tell me.
Which list below shows a way in which a 13-foot piece of pipe can be cut, to create 3 pieces that will form a triangle?
1 ft, 3 ft, 9 ft
3 ft, 3 ft, 7 ft
2 ft, 3 ft, 8 ft
2 ft, 5 ft, 6 ft
Answer:
2 5 and 6
Step-by-step explanation:
Any 2 sides have to add to more than the 3rd side.
log 95 The expression Tog2 is the result of applying the change of base formula to a logarithmic expression. Which could be the original expression? log, 2 3 log, 3 2 O log حاد 3 1 1093 2
Answer:
third option: log_2 1/3
Step-by-step explanation:
change of base formula:
log_b a= (log_x a)/(log_x b)
(log 1/3)/(log 2)
apply reverse change of base formula
2 from log 2 becomes new base, and 1/3 becomes the other number
=log_2 1/3
The original logarithmic expression which when undergoes the change of base formula gives the expression ㏒ (1/3) / ㏒ (2) is third option ㏒₂ (1/3).
Given a logarithmic expression,
㏒ (1/3) / ㏒ (2)
This expression is the result of a logarithmic expression when undergoes change of base formula.
The change of base formula is as given below.
㏒ₐ (x) = ㏒ₙ (x) / ㏒ₙ (a)
Using the same formula here,
We have the expression ㏒ (1/3) / ㏒ (2).
Here x = 1/3 and a = 2
So, the required expression is,
㏒ₐ (x) = ㏒₂ (1/3)
Learn more about Logarithmic Expressions here :
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Write the equation of a line that is parallel towards y = -6x +5
Answer:
y=-6x-4
Step-by-step explanation:
Any linear equation that has the slope of -6 is parallel to y=-6x+5
∠HOA appears to be a right angle.
true or false
Answer:
False!
Step-by-step explanation:
Right angles are 90 degrees, for example EOA appears to be closer to a right angle but not HOA
What is the estimate height of 129.3
**QUESTION**
Which of the statements about the y-axis are true?
**STATEMENTS**
I. The y-axis is a vertical number line that passes through the origin.
II. The y-axis intersects the x-axis at the point (0 , 0).
III. The y-axis is the first coordinate in an ordered pair that describes the vertical distance from the origin.
IV. The y-axis is a horizontal number line that passes through the origin.
**OPTIONS**
I and II
B.
I only
C.
IV only
D.
II and IV
Answer:
I.
II.
One and two are the correct ones
Step-by-step explanation:
Y goes up and down
X is side to side
so
x comes first in an ordered pair.
(I remember that by saying, "You need to find the room before you can ride the elevator)
Which decimals round to 2.5 when rounding to the nearest tenth
Answer:
2.45, 2.46, 2.47, 2.48, 2.49, 2.52, 2.52, 2.53 and 2.54 all round to 2.5 when being rounded to the nearest tenth.
Tenth = 0.1.
Hope that helps. x
Is there a relationship between deforestation and Global climate change
Answer:
There is a relationship between Deforestation and Global Climate Change.
Step-by-step explanation:
Deforestation is a cause of global climate change.
CAN SOMEONE FACTOR THIS PLEASE
125х^6 - 81
Answer:
0
Step-by-step explanation:
125×^6_81=0
×^6 we do not support this expression
ans = 0
Find the commission 700 sales and 6% commmision rate
Answer: How to calculate commission. This is a very basic calculation revolving around percents. Just take sale price, multiply it by the commission ...
Step-by-step explanation:
Solve for .
- 9x + 5 < 17
OR
13r + 25 < -1
GRAPHING LINEAR EQUATIONS PLEASE HELP
y=2/5x -3
how do i graph this? i don't know where to start please help!
Step-by-step explanation:
you can let
x = 0 => y = -3, point ( 0,-3)y = 0 => x = -15/2 = -7.5, point (-7.5,0)then connect this 2 points
A class is putting ornaments on a Christmas tree.
One box of 30 ornaments cost $6.99. How
much does one ornament cost? (round to the
nearest cent)
Answer:
each ornament was about 5 cents
Step-by-step explanation:
Hope this helps
May I get Braineist pls
please answer
when a whole number is rounded to the nearest ten the answer is 340
a write down the smallest possible value for the number
b write down the largest possible value for the number
Answer:
a) 335
b) 344
Step-by-step explanation: