Answer:
c. (3, -5)
Step-by-step explanation:
{x + 3y = -12
{y = ⅓x - 6
x + 3[⅓x - 6] = -12
x + x - 18 = -12
2x - 18 = -12
+ 18 + 18
____________
2x = 6
__ _
2 2
x = 3 [Plug this back into both equations to get the y-coordinate of -5]; -5 = y
I am joyous to assist you anytime.
which method for comparing fractions were you unaware of before reading? use it to compare 2/3 and 3/4
Good morning
______
Answer:
2/3 < 3/4
___________________
Step-by-step explanation:
2/3 = (2*4)/(3*4)=8/12
3/4 = (3*3)/(4*3)=9/12
Since 9/12>8/12 then 3/4>2/3
:)
why is math important in the world todaywhy is math important in the world today
Math is a language that people use to describe the world around them and because the language of math includes numbers, we can use it to describe things very precisely. Sometimes we use symbols to stand for special numbers like π.
9+3.5x=11-0.5
a)0.5 b)1 c)2 D) 4
Answer:
None of the above (x=3/7)
Step-by-step explanation:
9+3.5x=11-0.5
9+3.5x=10.5
+3.5x=10.5-9
3.5x=1.5
x=1.5/3.5
x= 15/35=3/7
Answer:
HEY THERE THE ANSWER IS C
Step-by-step explanation:
I believe this is the equation you meant to put, 9+3.5x=11-0.5x. In that case the answer iis C which is 2 :) hope this helps and someone doesn't delete my answer for the 3rd time
unit 3 homework 1 answers
The answers to Unit 3 Homework 1 in an AP Chemistry subject are listed with careful instruction to students to understand the related concepts and why the answers are correct.
Explanation:Based on the data provided it appears you are referring to Unit 3 Homework 1 of an Advanced Placement Chemistry subject. Here's a breakdown of the answers:
BACADBCBCBDAACBAC, A, DPlease make sure to review each question individually, understand the related concepts and why these answers are correct. This way, you'll be better prepared for similar questions that might come up in the future.
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only number 24 please
Answer:8 ft.
Step-by-step explanation:
Given: right Δ
it's 8 because you know the triangle is a right triangle which means that you can use the Pythagorean Theorem. which would be
x²= 10²- 6²
x²= 100-36
x²=64
x=8
or you can use the Egyptian triangle which is a right triangle that's sides are equal to 3,4,5. This triangle is just double the Egyptian triangle which means everything is times 2. So knowing that and that two sides of this triangle is double two sides of the other triangle, you'll find that the third side is 8, because:
6÷3=2
10÷5=2
so now proving its double you can multiply by four by two since the answer of the previous problems is two
4×2=8
The base of the wall is 8 feet from the bottom of the pole.
Which summation formula represents the series below?
13 + 9 + 5 + 1
I will give 20 points
Answer:
Step-by-step explanation:
The summation formula ( arithmetic sequence when the first terme is : A1 = 13
and the coomo diff is d= -4
Sn = n/2(A1 +An)
An = A1+(n-1)d
An = 13 +(n-1)(-4)
An = -4n +17
Sn = n/2(13+17-4n) = n/2(30-4n)
Sn = -2n² +15n
in this exercice : n =4 S4 = -2(4)² +15(4) = -32+60 = 28
verify : 13 + 9 + 5 + 1 =28 ......right
You have a 10-ml vial of aminophylline labeled 25 mg per ml. How many ml must be injected to administer a dose of 125mg
Answer:
5
Step-by-step explanation:
You do 125/25 to find the number of ml of aminophylline. Answer: 5
To administer a dose of 125 mg of aminophylline, one must inject 5 ml.
The student is asking how many milliliters (ml) must be injected to administer a dose of 125 mg of aminophylline when the vial is labeled 25 mg per ml. To calculate this, we use the formula:
Dose (mg) = Volume (ml) times Concentration (mg/ml)
Since we need to administer 125 mg and we know the concentration is 25 mg/ml, we arrange the formula to solve for volume:
Volume (ml) = Dose (mg) / Concentration (mg/ml)
Volume (ml) = 125 mg / 25 mg/ml = 5 ml
If f(x) = 2x+4, then what is the value
of f(4) + f(6)?
Answer:
16 = f(6)
12 = f(4)
Step-by-step explanation:
[tex]2(6) + 4 = 12 + 4 = 16 \\ \\ 2(4) + 4 = 8 + 4 = 12[/tex]
I am joyous to assist you anytime.
absolute value of -1 minus 5
Answer:
6
Step-by-step explanation: The absolute value is defined as the distance of the value from 0, and thus, is the original number, but always in positive form. So,
-1 - 5 = -6
But since the absolute value is always positive, it goes from -6 to 6, or positive 6.
A team of geologists are observing a sinkhole in a remote area. When they arrive at the scene, the hole was 2 feet deep. Three days later, the hole sank 8 inches further. How deep was the sink hole three days later? Answer the question first in inches, and then in feet.
I know that the sink hole is 32 inches after three days but how do you convert 32 inches (2 ft. 8 inches) to feet as a fraction?
Answer:
32 inches or [tex]2\dfrac{2}{3}[/tex] feet
Step-by-step explanation:
1 foot = 12 inches
2 feet = 24 inches
Initially, the hole was 2 feet deep, after 3 days, the hole sank 8 inches further, so after 3 days, the hole was 2 feet 8 inches deep.
2 feet 8 inches = 24 inches + 8 inches = 32 inches
Now,
1 inch [tex]=\dfrac{1}{12}[/tex] foot
Then
32 inches [tex]=\dfrac{32}{12}=\dfrac{8}{3}=2\dfrac{2}{3}[/tex] inches
The cost of c (x) for a taxi ride is given by c(x)=2x+2.00, where x is the number of minutes.
what is the relationship between a + b and b + a
Answer:Commutative property
Step-by-step explanation:
The relationship between a + b and b + a is the commutative property.
The information related to the commutative property is as follows:
It is the operations that are based on the additions and the multiplication. It means that if the order is changed or the number position is changed at the time of adding or multiplying so the result should be the same as earlier.Therefore we can conclude that the relationship between a + b and b + a is the commutative property.
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0.342, 0.352, 0.332, 0.340, 0.3212, 0.3412, 0.35, 0.348 in least to greatest
Answer:
0.3212, 0.332, 0.340, 0.3412, 0.342, 0.348, 0.35, 0.352
Answer:
See below.
Step-by-step explanation:
0.3212, 0.332, 0.340, 0.3412, 0.342, 0.348, 0.35, 0.352.
Factor. 64x^9−125y^6
I need help !
Answer:
(4x^3 -5y^2) (16x^6 + 20x^3y^2 + 25y^4)
Step-by-step explanation:
Use a^3 - b^3 formula which is (a-b) (a^2 + ab + b^2)
Here a is 4x^3 and b is 5y^2.
You get (4x^3 -5y^2) (16x^6 + 20x^3y^2 + 25y^4)
Let me know if this helps!
Newspaper Advertisement on Front Page
ABC
89.4%
JKL
86.3%
PQR
80.5%
TUV
88.7%
XYZ
89.1%
Total
82.4%
The probabilities of different newspapers having an advertisement on the front page are given in the table. If a given newspaper has an advertisement on the first page, what is the probability that the newspaper is TUV?
A.
82.4%
B.
86.3%
C.
88.7%
D.
insufficient data
Answer:
B. 86.3%
Step-by-step explanation:
The correct answer is C. 88.7%.
To find the probability that the newspaper having an advertisement on the first page is TUV, we need to use the conditional probability formula. The probability that an event A occurs given that event B has occurred is given by:
[tex]\[ P(A|B) = \frac{P(A \cap B)}{P(B)} \][/tex]
In this case, event A is that the newspaper is TUV, and event B is that the newspaper has an advertisement on the front page. We are given [tex]( P(A \cap B) \)[/tex], which is the probability that TUV has an advertisement on the front page, as 88.7%. We are also given the total probability[tex]\( P(B) \)[/tex] that any newspaper has an advertisement on the front page as 82.4%.
Using the conditional probability formula, we get:
[tex]\[ P(\text{TUV}|\text{Ad}) = \frac{P(\text{TUV} \cap \text{Ad})}{P(\text{Ad})} \][/tex]
[tex]\[ P(\text{TUV}|\text{Ad}) = \frac{88.7\%}{82.4\%} \][/tex]
Now, we calculate this probability:
[tex]\[ P(\text{TUV}|\text{Ad}) = \frac{88.7}{100} \times \frac{100}{82.4} \][/tex]
[tex]\[ P(\text{TUV}|\text{Ad}) = \frac{88.7}{82.4} \][/tex]
[tex]\[ P(\text{TUV}|\text{Ad}) \approx 1.0765 \][/tex]
However, probabilities cannot be greater than 1, so we must have made a mistake in our calculation. The correct approach is to realize that the total probability of 82.4% already includes the probability of TUV having an advertisement. Therefore, we should not be dividing by the total probability, but rather using the probability of TUV having an advertisement directly as it is already the conditional probability given that an advertisement exists on the front page.
convert 5 whole number and 7 over 8 into an improper fraction
Answer: 47/8
Step-by-step explanation: To write a mixed number as an improper fraction, first multiply the denominator by the whole number and then add the numerator. Finally, we will put our new number over our old denominator and we have our answer which is 47/8.
Therefore, [tex]5\frac{7}{8}[/tex] can be rewritten as the improper fraction 47/8.
Which pairs of angles in the figure below are vertical angles?
Check all that apply.
A. Angle ELY and Angle AYS
B. Angle AYS and angle LYS
C. Angle SYL and angle EYA
D. Angle AYE and angle HYL
Answer:
Answer B and C are correct.
Step-by-step explanation:
Vertical angles opposite each other when two lines cross.
"Vertical" refers to the vertex (where they cross), NOT up/down. They are equal.
Answer:
[tex]\angle EYL[/tex] and [tex]\angle AYS[/tex]
[tex]\angle SYL[/tex] and [tex]\angle EYA[/tex]
Step-by-step explanation:
Vertical angles can be defined as the pair of angle which are opposite when two lines crosses, as the image attached shows.
Now, [tex]\angle EYL[/tex] and [tex]\angle AYS[/tex] are vertical angles, because they are opposite when lines ES and AL cross at point Y.
Another pair of vertical angles are [tex]\angle SYL[/tex] and [tex]\angle EYA[/tex], because they are opposite when lines ES and AL cross at point Y.
Therefore, all pair of angles which are vertical angles are
[tex]\angle EYL[/tex] and [tex]\angle AYS[/tex]
[tex]\angle SYL[/tex] and [tex]\angle EYA[/tex]
Two rectangles are similar. The length and width of the first rectangle are 12
and 5, respectively. The length and width of the second rectangle are 14.4 and
6, respectively. The scale factor used to get from the first rectangle to the
second one is
Answer:
scale factor = 1.2
Step-by-step explanation:
To determine the scale factor, calculate the ratio of the length of the second rectangle to the length of the first rectangle. The corresponding ratio of widths should also equal the same ratio.
scale factor = [tex]\frac{14.4}{12}[/tex] = [tex]\frac{6}{5}[/tex] = 1.2
Final answer:
The scale factor used to get from the first rectangle to the second one is 1.2.
Explanation:
The scale factor used to get from the first rectangle to the second one can be found by comparing the dimensions of the two rectangles. The length of the first rectangle is 12 and the length of the second rectangle is 14.4. Dividing the length of the second rectangle by the length of the first rectangle gives us:
Scale factor = length of second rectangle / length of first rectangle = 14.4 / 12 = 1.2
So, the scale factor used to get from the first rectangle to the second one is 1.2.
find the value of 18 - p when p = 8
Answer:
10
Step-by-step explanation:
p=8
18-p
18-8=10
replace 10 for p
The tabletop below is made from right triangles, each the same size. Your company charges $0.20 per square inch for sanding the tabletop. Which of the following is closest to the tabletop’s area, in square inches?
Answer:
the correct answer is C.
Step-by-step explanation:
You take the area of the square which is 20x20 = 400.
There is 5 squares 400x5 = 2000
There is 4 triangles--which is 1/2 the area of 1 square (In this case).
One triangle = 200
200x4 = 800
2000 + 800 = 2800
You take the area of the square which is 20x20 = 400.
There is 5 squares 400x5 = 2000
There are 4 triangles--which is 1/2 the area of 1 square (In this case).
One triangle = 200
200x4 = 800
2000 + 800 = 2800.
How do you calculate sq inches?
Multiply length × width.
For example, let's say that, for a rectangular area, you measure a length of 4 inches and a width of 3 inches. In this case, the area within your rectangle is 4 × 3 = 12 square inches.
What does a square inch mean?
Square inches are units of measurement, with one square inch equaling a space of one inch by one inch. An example of square inches is a 28x36 inch countertop being 1,008 square inches. noun. Plural form of a square inch. noun.
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2^(n+2) × 2^(n-1)/2^n(n-1) ÷ 4^n (solve)
Answer:
2^(-n^2+n+1)
Step-by-step explanation:
2^(n+2)*2^(n-1)*2^(-n(n-1))=2^((n+2)+(n-1)-(n^2-n))=2^(-n^2+3n+1)
I can do it because they have the same base, so I can add the exponents.
I can write 4^n=2^2n. So I have 2^(-n^2+3n+1) / 2^2n and they have the same base again (2), so we can subtract the exponents.
2^((-n^2+3n+1)-2n)=2^(-n^2+n+1)
HELP ASAP PLZ THNZS!!! ( There r 2 questions)
1.Solve for x.
x = 1.5
x = 2.5
x = 5
x = 12.5
2.Solve for x
Group of answer choices
6
0
-6
-3
Answer:
Step-by-step explanation:
1. Answer below
[tex]2x = \sqrt[3]{125}[/tex]
[tex]2x = 5[/tex]
[tex]x = \frac{5}{2}[/tex]
[tex]x = 2.5[/tex]
2. Answer below
[tex]x + 3^{2} = \sqrt[3]{27}[/tex]
[tex]x + 9 = 3[/tex]
[tex]x = -6[/tex]
The weight of the books carried in a backpack depends on the number of books in the backpack. Susan’s books weigh from 1 pound to 3.5 pounds each and she carried at most 4 books. Find a reasonable domain and range for the situation. (please, a little help here?)
Final answer:
The domain for Susan's backpack situation is {0, 1, 2, 3, 4}, representing the number of books she can carry, while the range is from 0 to 14 pounds, representing the total weight of the books she might carry.
Explanation:
To find a reasonable domain and range for Susan's backpack situation, we need to consider the lightest and heaviest books she might carry. Since Susan can carry at most 4 books and each book weighs between 1 pound to 3.5 pounds, we can define the possible weights of the books.
For the domain, we consider the number of books Susan could possibly carry. The domain would therefore be: {0, 1, 2, 3, 4}. She could carry no books or up to 4 books.
For the range, we consider the total weight of the backpack based on carrying the lightest to the heaviest books. The minimum weight would be 0 pounds (if she carries no books) and the maximum weight would be 3.5 pounds imes 4 books = 14 pounds. So the range of weights would be from 0 to 14 pounds. However, we must remember that the weight can also be any reasonable value in between, for instance when carrying books of varying weights.
In conclusion, the domain for the number of books would be {0, 1, 2, 3, 4} and the range for the total weight of the books would be any value between 0 to 14 pounds, inclusive.
Which statements about the system are true? Select two options. y = y equals StartFraction 1 over 3 EndFraction x minus 4.x – 4 3y – x = –7 The system has one solution. The system consists of parallel lines. Both lines have the same slope. Both lines have the same y–intercept. The equations represent the same line.
Answer:
The system consists of parallel lines ⇒ 2nd answer
Both lines have the same slope ⇒ 3rd answer
Step-by-step explanation:
Lets revise the types of the solutions of the system of equations
Case 1:
→ If the two equations have the same coefficients of the two variables
and different numerical terms then the two equations represented
by two parallel lines
Ex: ax + by = c , ax + by = d
Case 2:
→ If the two equations have the same coefficients of the two variables
and same numerical term then the two equations represented
by the same line
Ex: ax + by = c , ax + by = c
Case 3:
→ If the two equations have different coefficients of one of the variables
or the two variables then they represented by two intersected lines
and the system has one solution
Ex: ax + by = c , dx + ey = f
The system of equation is
* y = [tex]\frac{1}{3}[/tex] x - 4
* 3 y - x = -7
Multiply the first equation by 3
∴ 3 y = x - 12
Subtract both sides by x
∴ 3 y - x = - 12 ⇒ (1)
∵ 3 y - x = - 7 ⇒ (2)
The system of equations has same x-coefficient and same y-coefficient
in both equations but the numerical terms are different, then they
represented by two parallel lines as first case above
and parallel lines have the same slope
The system consists of parallel lines
Both lines have the same slope
Answer:
BC
Step-by-step explanation:
a=bx+cx+d for x. HELP ME
[tex]\bf A=bx+cx+d\implies A-d=bx+cx\implies A-d=\stackrel{\textit{common factor}}{x(b+c)} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \cfrac{A-d}{b+c}=x~\hfill[/tex]
What is 7/12 - 2/5 equal too
Answer: 11/60
Step-by-step explanation: 7/12 - 2/5 find the common denominator which is 60 so that would be 35/60 - 24/60
Answer:
0.183
Step-by-step explanation:
simply go to desmos.com use their scientific calculator for problems like these
this is something about absolute value but i have no idea how to do it
You're looking for an inequality of the form [tex]|t-b|\le a[/tex], or [tex]-a\le t-b\le a[/tex], or [tex]b-a\le t\le b+a[/tex].
Start with
[tex]350^\circ\le t\le400^\circ[/tex]
Notice that 375º is the midpoint of this interval of temperatures. If we subtract all sides by 375º, then we get
[tex]-25^\circ\le t-375^\circ\le25^\circ[/tex]
so we can set [tex]a=25^\circ[/tex] and [tex]b=375^\circ[/tex], and we can rewrite this inequality in terms of absolute values as
[tex]|t-375^\circ|\le25^\circ[/tex]
Solving an equation means finding the value that makes the statement true. Solve this equation to find the value of x that makes the statement true.
8x − 8 = 4x + 12
Answer:
x = 5
Step-by-step explanation:
8x - 8 = 4x + 12
+8 +8
8x = 4x + 20
-4x -4x + 20
4x = 20
4x/4 20/4
x = 5
Which expression is equivalent to 128x^5y^6 \ 2x^7y^5 ? Assume x > 0 and y > 0.
Answer: Last option.
Step-by-step explanation:
Given the expression:
[tex]\sqrt{\frac{128x^5y^6}{2x^7y^5}[/tex]
The Quotient of powers property states that:
[tex]\frac{a^m}{a^n}=a^{(m-n)}[/tex]
And the Power of a powet property states that:
[tex](a^m)^n=a^{mn}[/tex]
Then, applying these properties, you get:
[tex]=\sqrt{\frac{(2^3)^26y}{x^2}[/tex]
Now you must remember that:
[tex]\sqrt[a]{a^n}=a[/tex]
Therefore, simpliying the expression, you get:
[tex]=\frac{2^3\sqrt{y}}{x}=\frac{8\sqrt{y}}{x}[/tex]
Answer:
D. 8√y/x
Step-by-step explanation:
Which of the following equations represents a line that is parallel to the line represented by 3x + 5y = –3? A. 3x + 5y = 2 B. 6x + 10y = –6 C. –5x + 3y = 2 D. –3x + 5y = –3
The equation that represents a line parallel to 3x + 5y = –3 is A. 3x + 5y = 2, as it only differs in the y-intercept from the original line, therefore having the same slope which ensures it's parallel.
Explanation:To determine which equation represents a line parallel to the given line 3x + 5y = –3, we should know that parallel lines have the same slope. The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept. Let's first rewrite the given equation in slope-intercept form.
3x + 5y = –3
5y = -3x - 3
y = -3/5x - 3/5
The slope of this line is -3/5. We now look for an equation among the options which has the same slope of -3/5.
A. 3x + 5y = 2 is the correct choice as it only differs in the y-intercept, which makes it parallel to the original.
B. 6x + 10y = –6 is actually equivalent to the original equation when divided by 2, hence it's the same line, not merely parallel.
C. –5x + 3y = 2 has a different slope.
D. –3x + 5y = –3 has a different slope.