Answer:
y = (2/3)x - 2
Step-by-step explanation:
The equation of this line is y = (2/3)x - 2, where m is the given slope and -2 is the given y-intercept. We need only plug in the given values for m and b.
Answer:
\(y = \frac{2}{3} x -2\)
Step-by-step explanation:
This is the slope-intercept form. The slope-intercept form is written as y = mx + b where m is the slope and b is the y-intercept. The y and x stay as they are.
I hope this was what you were looking for.
which number line shows the solution to the inequality -2x-3> -11
The solution to the inequality is x is less than 4.
What is inequility ?
An inequality is a mathematical statement that expresses a relationship between two values or expressions that are not necessarily equal. Inequalities are often used in mathematics to compare values, express constraints or limitations, and solve problems involving ranges of values.
To solve the inequality -2x - 3 > -11, we can start by isolating the variable x.
-2x - 3 > -11
Add 3 to both sides:
-2x > -8
Divide both sides by -2 (and flip the inequality because we're dividing by a negative number):
x < 4
So the solution to the inequality is x is less than 4.
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Write these ratios in their simplest form
a.2 litres:600ml
b. 8h:1 day
c. 3km:250m
Answer: a. 1ml : 2ml b. 1h : 3h c. 12m : 1m
Step-by-step explanation:
a. 2 litres = 200ml
200ml : 600ml = 1ml : 3ml
b. 1 day = 24 hours
8h : 24h = 1h : 3h
c. 3 km = 3000m
3000m : 250m = 12m : 1m
Plz help quick! And thank you to whoever helps :)
Answer:
Option c- should have added from both sides
k= 9.7
Step-by-step explanation: I dont know if i am right but hope it is xd
What is the arc length the car traveled to the nearest hundredth?
a. 7.91
b. 8.32
c. 10.99
d. 11.89
To find the arc length, we can use the formula:
\(\[ L = \frac{\theta}{360} \times 2\pi r \]\\Given:\( r = \frac{d}{2} = \frac{30}{2} = 15 \) ft\( \theta = 42 \) degrees\( \pi = 3.14 \)\\Substituting the given values into the formula:\[ L = \frac{42}{360} \times 2 \times 3.14 \times 15 \]\[ L = \frac{42}{360} \times 94.2 \]\[ L = \frac{3956.4}{360} \]\[ L \approx 10.99 \] ftTherefore, the arc length traveled by the car, to the nearest hundredth, is 10.99 feet. The correct option is c.\)
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There is an animal farm where chickens and cows live. All together, there are 59 heads and 184 legs. How many chickens and cows are there on the farm?
Answer:
There are 33 cows and 26 chickens
Step-by-step explanation:
Problem Solving
This problem can easily be solved by using equations, but it's more fun to solve it through pure reasoning and arithmetics.
Let's imagine there are no cows on the farm. Just chickens. 59 chicken heads mean 59*2 = 118 legs.
Now let's take one chicken out and one cow in. The number of heads will remain the same, but now there are two more legs: 120 legs.
We are closer to the answer. The trick is to calculate how many chickens we have to exchange for cows knowing each change means two more legs.
Since we initially had 118 legs, we need to add 184 - 118 = 66 more legs.
62 more legs are 66/2 = 33 changes or 33 cows.
The number of chickens is 59 - 33 = 26
Answer: There are 33 cows and 26 chickens
Divide 63 in the ratio 5:4=
Answer:
35:28
Step-by-step explanation:
answer attached
hope this helps!
(3RD TIME POSTING THIS)
9.Solve the inequality
-9.1 < x -6.3
Answer:
is that the whole math question? I need a number after the < to solve this
Find an answer to match the equation:8p+5=-6p+1A.3B.-10C.60D.4E.20F.38G.-2/7H.-10.4I.0
The first thing we need to do is collect like terms; move all the terms in p to one side of the equation and move the rest to the other side of the equation;
\(\begin{gathered} 8p+6p=1-5 \\ 14p=-4 \end{gathered}\)We'll now divide both sides of the equation by 14, which will give us the below;
\(\begin{gathered} \frac{14p}{14}=\frac{-4}{14} \\ \\ p=\frac{-2}{7} \end{gathered}\)Therefore, the correct answer is option G which is -2/7 as seen in our answer.
3 is what percent of 50
Answer:
6%
Step-by-step explanation:
3/50 x 100/1% = 3/2 x4/1% = 12/2%=6%
Write
83
50
as a decimal.
Answer:
0.83,0.50
Step-by-step explanation:
Since there are 2 digits in 83, the very last digit is the "100th" decimal place.
So we can just say that .83 is the same as 83/100.
So your final answer is: .83 can be written as the fraction
Step-by-step explanation:
To get 83/50 as a decimal just divide and you'll get 1.66 as your answer
If u see this forget it, I typed it in the wrong spot
which equation for f (x) would result in f(3)=0?
Answer:
33
Step-by-step explanation:
how do we decide whether to use a t test or an analysis of variance (anova) to analyze the data from an experiment?
The best way to analyze their data for significance is to Conduct a two-way variable analysis.
As we can see, there is a 2x3 factorial design. Thus, we know that there will be a two level or two way analysis of variables, which is referred to as two way variables analysis. Factorial design is a research method that allows for the inquiry of a main and interaction effects of two or more independent variables on one or more outcome variables (s).
It has been argued that factorial designs represent the true beginning of modern behavioral research and have resulted in a significant paradigm shift in how social scientists conceptualize their research questions and produce objective results (Kerlinger & Lee, 2000).
Factorial design is an experimental methodology that goes beyond standard single-variable experimentation. Previously, social scientists were fixated on single independent variable experiments, foreshadowing the significance of extraneous variables that can attenuate or diminish research findings.
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x(-6) + 19
need help
Answer:
-6x + 19
Step-by-step explanation:
perform multiplication first.
You have now invested some money in your bank account with an interest rate of 5% every year. At year 3 , you will find out that you have $30,000 in your bank account. How much money will you have in your bank account at year 2?
a. $25,915.13
b. $27,210.88
c. $28,571.43
d. $30,000.00
e. None of the above
At year 2, you will have approximately $25,915.13 in your bank account, assuming an initial investment with a 5% interest rate compounded annually. The correct answer is (a).
To find out how much money you will have in your bank account at year 2, we can use the compound interest formula:
A = P(1 + r/n)^(nt)
Where:
A = Final amount (in this case, $30,000)
P = Principal amount (initial investment)
R = Annual interest rate (5% or 0.05)
N = Number of times interest is compounded per year (assumed to be once per year)
T = Number of years (in this case, 3)
Let’s solve for P, the principal amount at year 0:
30,000 = P(1 + 0.05/1)^(1*3)
30,000 = P(1.05)^3
Dividing both sides of the equation by (1.05)^3:
P = 30,000 / (1.05)^3
P ≈ 25,915.13
Therefore, at year 2, you will have approximately $25,915.13 in your bank account.
The correct answer is (a) $25,915.13.
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-2x - 3y +2=-1
-2x + y = 8
x + 3y + 5z = -2
Answer:Except -1 for all real values of k given the equations has a unique solution.
Step-by-step explanation:
Except -1 for all real values of k given the equations has a unique solution.
Explanation:
Compare given linear pair of equations
(3k+1)x+3y-2 = 0 ----(1)
(k²+1)x+(k-2)y-5=0 ----(2)
with
----(2)
----(3)
we get ,
and
\* Given linear equations have unique solution *\
=> 3k(k-2)+1(k-2)≠3k²+3
=> 3k²-6k+k-2≠3k²+3
=> 3k²-5k-3k²≠3+2
=> -5k ≠ 5
Divide each term by (-5) , we get
=> k ≠-1
Therefore,
Except -1 for all real values of k given the equations has a unique solution.
On a 750 mile road trip Thelma drove 110 miles more than Louise. How far did each person drive?
Answer:
Thelma drove 430 miles, Louise drove 320 miles
Step-by-step explanation:
\(Distance = 750\\T + L = 750\\T = L + 110\\(L + 110) + L = 750\\2L + 110 = 750\\2L = 640\\L = 320\\T = 430\)
PLEASE HELP WITH THE PICTURE BELOW NEED IT IMMEDIATELY!
50 POINTS!
\(\qquad\qquad\huge\underline{{\sf Answer}}\)
Let's use slope - point form of line to get the required equation ~
\(\qquad \sf \dashrightarrow \:y - y_1 = m(x - x_1)\)
where,
m = slope of the line ( given in question )\( \sf{y_1 = 6} \)\( \sf{x_1 = 9} \)Now, let's put in the values ~
\(\qquad \sf \dashrightarrow \:y - 6= \dfrac{5}{9} (x - 9)\)
\(\qquad \sf \dashrightarrow \: y - 6 = \dfrac{5}{9} x - 5\)
\(\qquad \sf \dashrightarrow \: y = \dfrac{5}{9} x - 5 + 6\)
\(\qquad \sf \dashrightarrow \: y = \dfrac{5}{9} x + 1\)
So, the correct choice is A
Find C.Round to the nearest tenth.с17 ft8 ftA16 ftB В.C = [?]o
Let's begin by identifying key information given to us:
\(\begin{gathered} AC=b=8ft \\ AB=c=16ft \\ BC=a=17ft \\ \angle C=? \end{gathered}\)To obtain the angle C, we will use the Law of Cosines as shown below:
\(\begin{gathered} c^2=a^2+b^2-2ab\cdot cosC \\ We\text{ will make ''C'' the subject of the formula, we have:} \\ 2ab\cdot cosC=a^2+b^2-c^2 \\ cosC=\frac{a^2+b^2-c^2}{2ab} \\ a=8ft,b=16ft,c=17ft \\ cosC=\frac{16^2+8^2-17^2}{2\times8\times16}=\frac{256+64-289}{256}=\frac{31}{256} \\ cosC=0.121 \\ C=cos^{-1}(0.121)=83.05\approx83.1 \\ C=83.1^{\circ} \\ \\ \therefore C=83.1^{\circ} \end{gathered}\)Solve: |2x − 1| < 11.
Express the solution in set-builder notation.
{x|5 < x < 6}
{x|–5 < x < 6}
{x|x < 6}
{x|–6 < x < 6}
Answer:
the second one is the answer
Step-by-step explanation:
hope that helps
Answer:
B; {x|–5 < x < 6}
Step-by-step explanation:
a.
What is the actual net income for the month? What, if any, changes could have been made to the actual amounts this
month to keep the actual net income at a positive value?
The actual net income for the month is -$85. Less money could have been spent on food,
recreation and clothes.
b. The actual net income for the month is $85. No changes necessary.
C. The actual net income for the month is -$85. No changes necessary.
d. The actual net income for the month is $85. Less money could have been spent on food,
recreation and clothes.
Answer:
D.
Step-by-step explanation:
Answer:d
Step-by-step explanation:
Help PLEASE I forgot how to do this :'(
Answer:
C) The sum of the first 2 terms after the fourth term.
can someone please evaluate (-12)²
Answer:
(-12)²=(-12×-12)=144
Answer: 144
Step-by-step explanation:
(-12)^2
= -12(-12)
= 12(12)
= 144
Simplify the expression to a + bi form:
(12 - i)^2
Answer:
We know that, i = √-1 => i² = -1
\( →{(12 - i)}^{2} \\ = {(12)}^{2} + {(i)}^{2} - 24i \\ = 144 - 1 - 24i \\ = \boxed{143 - 24i}✓\)
143 - 24i is the right answer.Answer:
143-24i
Step-by-step explanation:
(12-i)^2
(12-i)(12-i)
144-12i-12i+i^2 where i^2=-1
144-24i+(-1)
144-1-24i
143-24i
Please mark me as Brainliest if you're satisfied with the answer.
The graphs of two rational functions of f and g are shown. One of them is given by the expression 2-3x/x. Which graph is it? Thanks will mark brainliest
Answer:
It's the left graph, y = f(x)
Step-by-step explanation:
If you find the x-intercepts, you'd solve (2-3x)/x = 0. This means you'd really solve 2-3x=0, which gives you x=3/2.
So the graph must have an x-intercept at (1.5, 0). Only f(x) has that.
\(y=\frac{2-3x}{x}\)
Vertical asymptote\(\Rightarrow x=0\)
\(2-3x=0\\\Rightarrow 3x=2\\\Rightarrow x=\frac{2}{3}\)
Zeroes \(x=\frac{2}{3}\)
\(\Rightarrow\)graph cuts \(x-axis\) at \(x=\frac{2}{3}\)
Horizontal asymptote\(=\frac{coefficient \ of \ higest \ degree \ term \ in \ numerator}{coefficient \ of \ higest \ degree \ term \ in \ denominator}\)
\(y=\frac{-3}{1}\)
\(=-3\)
Horizontal asymptote\(y=-3\)
\(\therefore\) Given graph is \(y=f(x)\)
Question 7
What is the volume of the pyramid? (Round to the nearest tenth)
11.2 m
11 m
8m
Answer:
V = 58.7 m^3
Step-by-step explanation:
The formula is V = 1/3 *b*h
where b is the base area
h is the height
From the diagram,
h= 11m
Now we need to find the area of the base.
The base is made of an equilateral triangle, so we know that one of the sides is 8m.
The area of the base is found: 1/2 * a * l
Where a = 8m
l = a/2 = 8m/2 = 4m
So the area of the base is:
b = 1/2 * 8 m* 4m
b = 16m^2
Now plug this into the volume formula:
V = 1/3 b * h
V = 1/3 * 16m^2 * 11m
V = 58.7 m^3
In November's Math Meet, the Little Monsters of Beast Academy solved $\frac{1}{5}$ of the problems. In March's Math Meet, they solved $\frac23$ of the problems. (There might be different numbers of problems asked in November and March.)
In total, the Little Monsters solved $13$ of $30$ problems over both Math Meets. How many problems were asked at March's Math Meet?
The Little Monsters of Beast Academy completed 15 problems during the math meet in March.
How to calculate the total number of issues resolved in MarchThe issue is a simultaneous equation involving two equations and two unknowns.
These are the equations that are created:
Let the quantity of questions that the students at the Beast Academy have answered in
March be xNovember be yThe Little Monsters of Beast Academy successfully completed $frac1/5$ of the problems in the November = y/5
In Math Meet. they resolved $frac23$ = 2x/3 problems i
Hence:
y/5 + 2x/3 = 12
x + y = 30
When the equation is solved,
x = y = 15
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identify an equation in point slope form for the line perpendicular to y=-1/3x-6 that passes through (-1,5)
Solve for the missing side length
Need help please
Answer:
6
Step-by-step explanation:
Let the missing side be represented as x.
Applying the triangle proportionality theorem, we have:
\( \frac{15}{x} = \frac{14 - 4}{4} \)
Solve for x
\( \frac{15}{x} = \frac{10}{4} \)
Cross multiply
\( x(10) = 4(15) \)
\( 10x = 60 \)
Divide both sides by 10
x = 6
Answer:
23
Step-by-step explanation:
Which set of measures could NOT be the side lengths of a right triangle ? 18 cm, 24 cm, 30 cm 10 cm, 20 cm, 30 cm 30 cm, 40 cm, 50 cm 30 cm, 72 cm, 78 cm
Answer:
The answer is c. 30 cm, 40 cm, 50 cm. This set of measures could not be the side lengths of a right triangle, as it does not satisfy the Pythagorean theorem. The Pythagorean theorem states that the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In this case, the square of the hypotenuse (50 cm) is not equal to the sum of the squares of the other two sides (30 cm and 40 cm).
Step-by-step explanation: