Solve the system by elimination.
-4x - 4y = 0
4x + 4y = 0
[tex]\begin{bmatrix}4x+4y=0\\ -4x-4y=0\end{bmatrix}[/tex]
Subtract 4y from both sides.
[tex]4x+4y-4y=0-4y[/tex]
Simplify
[tex]4x=-4y[/tex]
Divide each side by 4
[tex]\frac{4x}{4}=\frac{-4y}{4}[/tex]
Simplify
[tex]x= -y[/tex]
Substitute x as -y.
[tex]\begin{bmatrix}-4\left(-y\right)-4y=0\end{bmatrix}[/tex]
[tex]0=0[/tex]
The values of x and y are both zero.
Please someone help me on this :c
Scientific notation questions
Best answer gets Brainliest and 20 points
(All of the questions are on the picture)
Please answer this ASAP
*NO LINKS OR QUESTION REPORTED*
[tex]1. \sf{\ Given : \bigg(\dfrac{10^5}{10^2}\bigg) (10^2)^3}[/tex]
The above expression can be written as :
[tex]\implies \sf{10^{(5-2)}}.10^{(2)(3)}}[/tex]
[tex]\implies \sf{10^{(3)}}.10^{(6)}}[/tex]
As Bases are same, we can add the powers with same base
[tex]\implies \sf{10^{(3 + 6)}}}}[/tex]
[tex]\implies \sf{10^{9}}}}[/tex]
[tex]2. \sf{\ Given : \dfrac{10^5}{10^3.10^8}}[/tex]
The above expression can be written as :
[tex]\implies\sf{\dfrac{10^5}{10^{(3 + 8)}}}[/tex]
[tex]\implies\sf{\dfrac{10^5}{10^{11}}}[/tex]
[tex]\implies\sf{10^{(5 - 11)}}[/tex]
[tex]\implies\sf{10^{-6}}[/tex]
[tex]3. \sf{\ Given : \dfrac{10^{-2}.10^{-3}}{(10^2)^{-5}}}[/tex]
[tex]\implies\sf{\dfrac{10^{(-2 - 3)}}{10^{(2)(-5)}}}[/tex]
[tex]\implies\sf{\dfrac{10^{(-5)}}{10^{(-10)}}}[/tex]
[tex]\implies\sf{10^{(-5 + 10)}}[/tex]
[tex]\implies\sf{10^{5}}[/tex]
[tex]4. \sf{\ Given : (2.5\ x \ 10^8)(8\ x \ 10^3)[/tex]
[tex]\implies \sf{(2.5 \ x \ 8)(10^{(8 + 3)})}[/tex]
[tex]\implies \sf{(20)(10^{11})}[/tex]
[tex]\implies \sf{2 \ x \ 10^{12}}[/tex]
[tex]5. \sf{\ Given : \dfrac{27.8 \ x \ 10^{8}}{25 \ x \ 10^{3}}}[/tex]
[tex]\implies\sf{1.112\ x \ 10^{(8 - 3)}}[/tex]
[tex]\implies\sf{1.112\ x \ 10^{5}}[/tex]
I need a little help. (The question is on the screenshot by the way)
Answer:
45
Step-by-step explanation:
the answer iud D
Answer:
[tex] \boxed{8} < \sqrt{80} < \boxed{9}[/tex]
Step-by-step explanation:
[tex]\sqrt{80} =8.94427191[/tex]
Since, 8.94427191 falls between 8 and 9.
[tex] \therefore \: \boxed{8} < \sqrt{80} < \boxed{9}[/tex]
find the volume of this
The team's win-loss ratio was 5 to 3. If the team played
120 games without a tie, how many games did the team win?
Answer:
75 games
Step-by-step explanation:
5 : 3 =8
8 = 120 games
1= 120÷8
=15
Games the team win:
= 5×15
= 75 games
If team's win-loss ratio was 5 to 3. If the team played 120 games without a tie then 75 games are win by team.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given,
The team's win-loss ratio was 5 to 3.
The team played 120 games without a tie.
We need to find how many games did the team win
5x+3x =8x
8x = 120 games
Divide both sides by 8
x= 120/8
x=15
Games the team win:
= 5×15
= 75 games
Hence, 75 games did the team win.
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WILL
GIVE BRAINLIST
ANSWER
MATH
How many quadrilaterals can I construct with four right angles
Answer:2
Step-by-step explanation:
A recipe book has 24 appetizer recipes
and 37 dessert recipes. There are 10
more dinner recipes as appetizer and
dessert recipes combined. How many
recipes are in the book in all?
Find BD if AC = 47 yards
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Answer:
21 yards
Step-by-step explanation:
The area of a quadrilateral with diagonals that are right angles to each other is given by ...
A = (d1)(d2)/2 . . . . where d1 and d2 are the lengths of the diagonals
493.5 yd² = (47 yd)(BD)/2 . . . . . . . . . . fill in the given information
Dividing by the coefficient of BD, we have ...
(2)(493.5 yd²)/(47 yd) = BD = 21 yd
What is 2.6 * 10 ^ 5 written in standard notation? A. 26, 000 O B. 2, 060, 000 O C. 20,600 O D. 260, 000 O E. 2, 600, 000 O F. 206, 000
Answer:260000
Step-by-step explanation:
Collette wanted to know if there was a difference in favorite food types among students at her large high school. She took a random sample of students from her school and asked them to name their favorite food type. Of those surveyed, 29 preferred American, 16 preferred Chinese, 19 preferred Mexican, and 28 preferred Italian. Which of the following is the chi-square test statistic?
a. (29 - 23)2/23 + (16 - 23)2/23 + (19 - 23)2/23 + (28-23)2/23.
b. (29 - 23)2/23 - (16 - 23)2/23 - (19 - 23)2/23 - (28 - 23)2/23.
c. (29 + 23)2/23 + (16 + 23)2/23 + (19 + 23)2/23 + (28+23)2/23.
d. (29 - 23)2/92 + (16 - 23)2/92 + (19 - 23)2/92 (28-23)2/92.
e. (29 + 23)2/92 + (16 + 23)2/92 + (19 - 23)2/92 + (28-23)2/92.
Answer:
(29-23)²/23 + (16-23)²/23 + (19-23)²/23 + (28-23)²/23
Step-by-step explanation:
Given :
n(American) = 29
n(Chinese) = 16
n(Mexican) = 19
n(Italian) = 28
Expected value = (29 + 16 + 19 + 28) / 4
Where, 4 = sample size
Expected value, E = 23
χ² = (Observed value - Expected value)² / expected value
χ² = (29-23)²/23 + (16-23)²/23 + (19-23)²/23 + (28-23)²/23
Answer:
(29-23)²/23 + (16-23)²/23 + (19-23)²/23 + (28-23)²/23
Step-by-step explanation:
I would but you probobly want just the answer :/
The hungry caterpillar was 5.4 feet away from his favorite leafy bush. He crawled 1.2 feet every hour to reach the leaves. How many hours did it take him to reach the bush?
Answer:
About 4.5 hours
Step-by-step explanation:
In a classroom,1/6,of the students are wearing blue shirts,and 2/3 are wearing white shirts. There are 12 students in the classroom,ow many students are wearing shirts other than blue shirts or white shirts?
Answer:
2
Step-by-step explanation:
1/6 x 12 = 2
2/3 x 12 = 8
8 + 2 = 10
12 - 10 = 2
Answer:
2 not wearing either blue or white
Step-by-step explanation:
Find out the fraction that represents those that are wearing either blue or white. Let x be that fraction
x = 2/3 + 1/6
Change 2/3 and 1/6 to 12ths. because there are 12 students in the class.
2/3 = 2*4 / (4 *O 4) = 8/12
1/6 = 2*1/(2 * 6) = 2 / 12
x = 8/12 + 2/12
x = 10/12 Normally you would reduce this fraction because we are not using the Lowest common Denominator. In this case we just leave it.
There are 12/12 - 10/12 = 2/12 that are missing.
So 2 people are Not wearing either blue or white.
who was the artist that cut off his ear?
Answer:
Vincent Van Gogh
Step-by-step explanation:
He was the artist who cut off his ear in 1888 in December I think...
I hope this helped :))
plz i beg wont thy help me with three questions T^T
k12 7th math
plz answer them all i really need it cause i cant figure it out T^T
Answer:
For each table plug x in one at a time into the equation
If the outcome (y) is the same in the table that will be the correct answers
Step-by-step explanation:
For example -2 will be plugged in so y=5/4(-2)-3 which simplifies down to -0.5 looking back at the table we see the y value is 0.5 instead of -0.5 thus allowing us to eliminate that answer choice and repeat the process in the next table. Whichever one holds true and have the correct outcome will be the correct answer
Hope this helps
The sequence of the differences, 2, 4, 8, 16, 32, … is a geometric sequence with:
a1 =
and r1 =
*Please Help**
Answer:
r1 is given by the formula an=a1r.n-1
Step-by-step explanation:
Answer:
a1 = 2
r1 = 2
yayyyyyyyyyyyyyyyyyyyyyyyyy
Please i need help ASAP please no links.
A chord is units from the center of a circle. The radius of the circle is units. What is the length of the chord?
Answer:PLZ MARK BRAINLIST
Draw a line from the center of the circle to the chord to form a right triangle.
The radius (20) forms the hypotenuse of the right triangle and distance from the center to the chord (16) forms a leg.
Use the Pythagorean Theorem to find the length of the other leg x (which would be 1/2 the length of the chord):
x^2 + 16^2 = 20^
x = 12
So the entire chord length = 12 * 2 = 24 units
What is the slope of the line?
math math math math 4 you (it's easy)
Answer:
The formula used here would be V = 4/3 πr³
Step-by-step explanation:
2r=d
r=12/2
r=6 V=4
4/3 π r3 =4
4/3·π·6(cube)≈904.77868can be written as 905
Please help!!!
Select the correct answer
Abdullah is kicking a soccer ball into the air. The path of the soccer ball can be modeled by a quadratic equation where the point (6, 12) represents the vertex and the x-axis represents the ground. Which equation could represent the location of the soccer ball when it hits the ground? A 0=−(x−6)2+12 B 0=−(x+6)2−12 C 0=−(x−6)(x−12) D 0=−(x+6)(x+12)
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Answer:
A. 0 = −(x−6)^2+12
Step-by-step explanation:
The vertex form of a quadratic equation is ...
y = a(x -h)² +k . . . . . . for vertex (h, k) and scale factor 'a'
When the given vertex (h, k) = (6, 12) is used, we find the form of the equation to be ...
y = a(x -6)² +12
The ball will be on the ground when y = 0. Here, the vertical scale factor 'a' is -1, so the equation representing the ball being on the ground is ...
0 = -(x -6)² +12 . . . . . . matches choice A
What is 1.05 x 10^8 written in standard notation?
Answer:
105000000
Step-by-step explanation:
Since the exponent of the scientific notation is positive, move the decimal point 8 places to the right.
After writing the expression in standard form we get 105000000
What are exponents ?
An exponent is a number or letter written above and to the right of a mathematical expression called the base. It indicates that the base is to be raised to a certain power.
The given question is 1.05 * 10⁸
It has to be written in the standard format
The exponent 8 on 10 means base 10 is multiplied 8 times.
therefore
1.05 * 10*10*10*10*10*10*10*10
On solving this we get
105000000 is what we get after writing the expression in standard form.
To know more about Exponent
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What is the median of:
2, 8, 7, 8, 6, 15, 6, 8, 3
Answer:
7
Step-by-step explanation:
To find the median, put all numbers into ascending order and work into the middle by crossing off numbers at each end. If there are a lot of items of data, add 1 to the number of items of data and then divide by 2 to find which item of data will be the median.
Answer: 7
Step-by-step explanation:
1. put them in order from least to greatest = 2, 3, 6, 6, 7, 8, 8, 8, 15
2. find the number in the middle = 7
Hope I helped, have an amazing day!!
Using the diagram below l, if angle P is 78 degrees and arc CB is 46, find arc AC
Answer:
arc AC = 202°
Step-by-step explanation:
Based on the tangent-angle secant rule, the angle formed outside a circle by a secant and a tangent is equal to one-half the difference between the far arc and the near arc.
Thus:
m<P = ½(arc AC - arc CB)
Substitute
78° = ½(arc AC - 46°)
Multiply both sides by 2
2*78 = arc AC - 46
156 = arc AC - 46
Add 46 to both sides
156 + 46 = arc AC
202° = arc AC
arc AC = 202°
Lines AB and CD are perpendicular to each other. If 3 measures (4x + 4)°, and 4 measures 26°, what is the value of x?
Please justify your answer, I really don't understand it.
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Answer:
A x = 15
Step-by-step explanation:
Lines AB and CD being perpendicular means the angles where they meet are all 90°. The diagonal line divides two of those 90° angles into two parts (each). The whole (90°) is the sum of the parts into which the angle has been divided.
The sum of angles 3 and 4 is 90°. Once you understand this relationship, you can write an equation based on the relationship. The equation can be solved in the usual way.
(4x +4)° +26° = 90°
4x = 60 . . . . . . . . . . . . divide by °, subtract 30
x = 15 . . . . . . . . . . divide by 4
Find the area of the trapezoid 6.5 cm 9 cm 18.5 cm
Answer:
if the 'a base' is 6.5 & the height is 9 & 'b base' is 18.5, the answer is a = 112.5 cm^3
what is a valid inference?
Answer: give more info
Step-by-step explanation: i think this deserves a brainlyest
Does anyone know how to do probability good?
Answer:
Yes, I can help you for free if you help me on some of my questions
Step-by-step explanation:
2 + 2 =
very easy beainliest :)
Answer:
4
Step-by-step explanation:
1+1+1+1=4
Answer:
wow, hardest question I've ever answered! It's either 4 or 22, I can't decide
Step-by-step explanation:
The mayor of a large city will run for governor if he believes that more than 30 percent of the voters in the state already support him. He will have a survey firm ask a random sample of n voters whether or not they support him. He will use a large sample test for proportions to test the null hypothesis that the proportion of all voters who support him is 30 percent or less against the alternative that the percentage is higher than 30 percent. Suppose that 35 percent of all voters in the state actually support him. In which of the following situations would the power for this test be highest?
a. The mayor uses a significance level of 0.01 and n = 250 voters.
b. The mayor uses a significance level of 0.01 and n = 500 voters.
c. The mayor uses a significance level of 0.01 and n = 1,000 voters.
d. The mayor uses a significance level of 0.05 and n = 500 voters.
e. The mayor uses a significance level of 0.05 and n = 1,000 voters.
Answer:
e. The mayor uses a significance level of 0.05 and n = 1,000 voters.
Step-by-step explanation:
Power of a test:
For a high power of a test, two conditions are needed:
Large significance level.
Large sample.
In this question:
A significance level of 0.05 will lead to a higher power than a significance level of 0.01, which means that the answer is between options d and e.
A test with a sample of 1000 has a higher power than a test with a sample of 500, and thus, the answer is given by option e.