Answer:
[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
y = mx + b , "m" is slope and "b" is y-intercept
~~~~~~~~~~~~~
3x - 4y = 7
- 4y = - 3x + 7
y = [tex]\frac{3}{4}[/tex] x - [tex]\frac{7}{4}[/tex] ⇒ m = [tex]\frac{3}{4}[/tex]
Mr. Jackson likes to play a game in which rolling a 4 on a number cube doubles your score. He wants to know the probability that he will roll a 4 exactly 3 times out of 10 rolls. Define the variables for describing a binomial probability, and identify their values in this experiment.
Answer:
Step-by-step explanation:
Binomial Probability
P(x) = n!/(n-x)!x! * p^x q^(n-x)
P(x) = probability there will be x required outcomes (here x is 3)
n = number of trials (here it is 10)
p = probability of 1 required outcome (getting a 4) on a single roll ( = 1/6).
q = probability of required outcome not occurring on a single roll.
p = 1/6
q = 1 -1/6 = 5/6
n = 10
x = 3
So the required probability
= 10!/ 7!3! (1/6)^3 (5/6)^7
= 0.155.
A music store is having a clearance sale. All items are discounted by 15%. What is the sale price of a radio that regularly costs $20?
Answer:
17$
Step-by-step explanation:
Answer:
$17
Step-by-step explanation:
Since the discount is 15%, and 100% would be the full price, 100 - 15 = 85. You are paying 85% of the price. 20 * .85 = 17.
Two squares are congruent if and only if:
A. any two corresponding angles are
congruent
B. two pairs of corresponding angles are
congruent
C. all four pairs of corresponding angles are
congruent
D. a side of one is congruent to a side of the
other
D) a side of one is congruent to side of the other
Coz in the question it specified that both the shapes are square so obviously all angles are equal (90°)
Now we only need one side of it congruent .
Marla was given the point (1, 3), (2, 1), and (-2, -15). She was asked to find a quadratic function that fit these 3 given points. Marla created a system of three equations with three variables to solve the problem and then used the matrix functions on her graphing calculator to find the equation. Which equation can be written given these 3 points?
The quadratic equation is given by y = -2x² + 4x + 1
The standard form of a quadratic equation is given by:
y = ax² + bx + c
At point (1, 3):
3 = a(1)² + b(1) + c
a + b + c = 3 (1)
At point (2, 1):
1 = a(2)² + b(2) + c
4a + 2b + c = 1 (2)
At point (-2, -15):
-15 = a(-2)² + b(-2) + c
4a - 2b + c = -15 (3)
Solving equations 1, 2 and 3 simultaneously gives:
a = -2, b = 4, c = 1
The quadratic equation is given by y = -2x² + 4x + 1
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please help me with this question.
Answer:
Exact Form: 309/25
Mixed Form: 12 and 9/25
Step-by-step explanation:
The number of hours needed to assemble computers varies directly as the number of computers and
inversely as the number of workers. If 16 workers can assemble 40 computers in 10.25 hours, how many
workers are needed to assemble 68 computers in 16.40 hours?
The number of workers needed to assemble 68 computers in 16.40 hours is 17 workers
let
number of hours = h
number of computers = c
number of workers = w
h = k × c / w
where,
k = constant of proportionality
h = 10.25
w = 16
c = 40
h = k × c / w
10.25 = k × 40 / 16
cross product
10.25 × 16 = k × 40
164 = 40k
k = 164/40
k = 4.1
If
c = 68
h = 16.40
h = k × c / w
16.40 = 4.1 × 68 / w
cross product
16.40w = 4.1 × 68
16.40w = 278.8
w = 278.8 / 16.40
w = 17 workers
Therefore, the number of workers needed to assemble 68 computers in 16.40 hours is 17 workers
Learn more about ratio:
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Is x+2y=6
2x-3y=26
have no solution,one solution, or infinity many solution
Answer:
1
Step-by-step explanation:
x + 2y = 6, multiply by 2 = 2x + 4y = 12
2nd equation: 2x - 3y = 26
It has one solution
Answer: One solution
Step-by-step explanation:
Convert both equations into slope-intercept form:
x+2y=6
2y=6-x
[tex]y=\frac{6-x}{2}[/tex]
Slope = 6/2 = 3
2x-3y=26
y=2x-26/3
Slope = 2/3
Therefore, he system of equations have one solution because their slopes are not equal.
(02.02 LC)
If g(x) = x2 + 2, find g(3).
O9
O8
O 11
O6
Answer:
8
Step-by-step explanation:
g(x) = 2x + 2
g(3) = 2*3 + 2 Substitute 3 for x.
g(3) = 6 + 2 Multiply.
g(3) = 8 Add.
Answer:
g(3) = 11
Step-by-step explanation:
Substitute x = 3 into g(x) , that is
g(3) = 3² + 2 = 9 + 2 = 11
how to solve improper fractions to mixed numbers with example?
Answer: If it was the other way around I would have helped you
Step-by-step explanation:
e.g.
What is the supplement of a 30° angle?
Answer:
150˚
Step-by-step explanation:
To find the supplement of a 30˚ angle, we need to know what an supplement in geometry is.
A supplement is when two angles add up that results in 180
So what value adds to 30˚ will get 180?
To find out that we just subtract 180 with 30
Which is 150
Thus the Supplement of a 30˚ angle is 150˚
Hope this helps!
Helpppp asapppppppppppppp 15 points
Answer:
Last one
Step-by-step explanation:
17 times 3 is 51
Answer:
is it the first one
Step-by-step explanation:
cause
51 divide by 3 is 17
Simplify 7 1/3t−(10 2/3t−6) pls
Answer:
[tex]-\frac{10t}{3}+6[/tex]
Step-by-step explanation:
[tex]7 \frac{1}{3}t-(10 \frac{2}{3} t-6)[/tex]
Convert [tex]7\frac{1}{3}[/tex] to a mixed number
[tex]7\frac{1}{3}=\frac{7\cdot 3+1}{3}[/tex]
[tex]=\frac{22}{3}[/tex]
[tex]\bold{\frac{22}{3}t-\left(10\frac{2}{3}t-6\right)}[/tex]
Convert [tex]10\frac{2}{3}[/tex] into a mixed number
[tex]10\frac{2}{3}=\frac{10\cdot 3+2}{3}[/tex]
[tex]=\frac{32}{3}[/tex]
[tex]\bold{\frac{22}{3}t-\left(\frac{32}{3}t-6\right)}[/tex]
[tex]=\frac{22t}{3}-\frac{32t}{3}+6[/tex]
[tex]\bold{=\frac{-10t}{3}+6}[/tex]
Terms
Follow the PEMDAS order of operation:
P = ParenthesisE = ExponentsM = MultiplicationD = DivisionA = AdditionS = SubtractionYou do these steps in the order for which the equation comes. For example, start with the exponents if there are not any parentheses.
12. Fancy goldfish x cost $3 each and
common goldfish y cost $1 each. Graph
the function y
20
3x to determine
how many
of each type of goldfish Tasha
can buy for $20.
Answer:
x (Fancy Gold fish) = 3
y (Common goldfish) = 29
Step-by-step explanation:
Fancy goldfish x cost $3 each
common goldfish y cost $1 each
Graph: y = 20 + 3x (I'm hoping this is the correct line equation, please do leave a comment below if it's not)
Thus, we graph it by subtitude either the x or y values. (Or you can use just X = 1,2,3).
Now, to find how many of each type of goldfish Tasha can buy. We subtitude the line equation by either using x = 3 or y = 1
Using either values to solve the equation, we get:
x = 3
y = 29
Hope this helps!
Resultado de la operación -2-(5-3)+4
Answer:
0
Step-by-step explanation:
-2-(5-3)+4
-2-2+4
-4+4
0
where does the normal line to the ellipse x2−xy y2=3 at the point (−1,1) intersect the ellipse for the second time?
Answer:
where does the normal line to the ellipse x2−xy y2=3 at the point (−1,1) intersect the ellipse for the second time?
Step-by-step explanation:
they Juan Carlos y los sigo pliss yyi de bvz
Gia started to solve the equation 3(x − 10) − 5x = 2x − 26 below. They want to move the variables to the left side of the equation for their next step.
Fill in Line 4 and give the property.
Line 1: 3(x − 10) − 5x = 2x − 26 Original Problem
Line 2: 3x − 30 − 5x = 2x − 26 Distributive Property
Line 3: -2x − 30 = 2x − 26 Collect Like Terms
Line 4:
please helpp
Answer:
Subtract 2x from each side, Subtraction Property
Step-by-step explanation:
The sum of the first and second terms of an AP is 4 the tenth term is 19 find the sum of the fifth and sixth terms
Answer:
20
Step-by-step explanation:
first term + second term = 4
tenth term = 19
fifth term + sixth term = ?
Since this is an arithmetic sequence:
first term = a
second term = a+d
tenth term = a+9d
Then we have
[tex]2a+d=4 \\ a+9d=19[/tex]
Upon solving the system of equation we have:
[tex]a=1 \\ d=2[/tex]
Since:
fifth term = a+4d
sixth term = a+5d
The final answer is:
fifth term + sixth term = [tex]2a+9d=2+18=20[/tex]
I need help please!!!!
Answer:
MOREEE
Step-by-step explanation:
A supervisor finds the mean number of miles that the employees in a department live from work. He finds x Overbar = 29 and s = 3. 6. Which mileage is within a z-score of 1. 5? 21 miles 24 miles 36 miles 41 miles.
The correct option is (B).24 miles.
Z-score is basically another term for the specific number of standard deviations. I suppose we can assume normality here, even though it isn't given, so I'd make a rough sketch.
Otherwise, just use the basic formula:
[tex]z_{score} =\dfrac{x-\mu}{\sigma}[/tex]
Given that,
[tex]\bar{x}=29[/tex] (statistic for a mean) and [tex]s=3.6[/tex] (statistic for a standard deviation).
Since z-score must be Less than 1.5, So
[tex]1.5> \dfrac{x-29}{3.6}\\[/tex]
[tex]1.5 \times3.6 > x-29\\5.4+29> x\\34.4> x[/tex]
I just used normal cdf and got [tex]23.6<x<34.4[/tex].
Hence the correct option is (B).24 miles.
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Answer:
B
Step-by-step explanation:
Correcct on edge22
David is making rice for his guests based on a recipe that requires rice, water, and a special blend of spice, where the rice-to-spice ratio is 15:115:115, colon, 1. He currently has 404040 grams of the spice blend, and he can go buy more if necessary. He wants to make 101010 servings, where each serving has 757575 grams of rice. Overall, David spends 4.504.504, point, 50 dollars on rice.
What is the price of rice per gram?
dollars per gram of rice
Answer:
Price of rice per gram = $ 0.006 per gram or 0.6 cents per gram .
Step-by-step explanation:
Given: David wants to make 10 servings, where each serving has 75 grams of rice.
Total quantity of rice required = 10 x 75 = 750 grams
Overall, David spends 4.50 dollars on rice.
i.e. cost of 750 grams of rice = 4.50 dollars
Price of rice per gram =(cost of 750 grams of rice ) ÷ 750
= (4.50 dollars ) ÷ 750
= $ 0.006 per gram.
Price of rice per gram = $ 0.006 per gram.
Answer:
0.006
Step-by-step explanation:
If we express $3x^2 - 6x - 2$ in the form $a(x - h)^2 + k$, then what is $a + h + k$?
If we express [tex]3x^2-6x-2[/tex] in the form [tex]a(x-h)^2+k[/tex], then a + h + k = -1
The given quadratic expression is:
[tex]3x^2-6x-2[/tex]
To express [tex]3x^2-6x-2[/tex] in the form [tex]a(x-h)^2+k[/tex], follow the steps below
Rewrite [tex]3x^2-6x-2[/tex] as [tex]3x^2-6x+3-5[/tex]
Factorize common terms
[tex]3(x^2-2x+1)-5[/tex]
This can be further simplified as:
[tex]3(x-1)^2-5[/tex]
Therefore, the vertex form of the equation [tex]3x^2-6x-2[/tex] is [tex]3(x-1)^2-5[/tex]
Compare [tex]3(x-1)^2-5[/tex] with [tex]a(x-h)^2+k[/tex]
a = 3, h = 1, k = -5
a + h + k = 3 + 1 - 5
a + h + k = -1
Therefore if we express [tex]3x^2-6x-2[/tex] in the form [tex]a(x-h)^2+k[/tex], then a + h + k = -1
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solve similar triangles (advanced)
Step-by-step explanation:
similar triangles mean that all angles are the same, and the side lengths of one triangle correlate to the corresponding sides of the other triangle by the same factor.
that means that the sides 2 (ED) and x (CB) have the same relation as the 6+4 (AD) and the 6 (AB) sides.
so,
x/2 = 6/(6+4) = 6/10 = 3/5
x = 2 × 3/5 = 6/5 = 1.2
the graph of the function f is shown above. what is limx→2f(x)
The value of y as x tends to 2 is infinity since the curve progresses to infinity at this point that is [tex]\lim_{x \to 2} f(x) = \infty[/tex]
Find the graph attached. From the graph, we can see that the range of the function is the values along the y-axis and is from the minimum point on the curve (y = -2) to infinity
The range of the given graph in interval notation will be expressed as R = 2≤y<∞ or y ≥ 2. Note that 2 is included since the circle on the value of 2 is shaded.From the graph, we can deduce that the value of y as x tends to 2 is infinity since the curve progresses to infinity at this point.
Therefore we can conclude that [tex]\lim_{x \to 2} f(x) = \infty[/tex]
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This is for the real ones- find the missing side x. Giving brainliest.
Answer: The answer is X equals 10 2/3.
Explanation: This is a proportion. We see that the right rectangle when turned to the right is proportional to the left rectangle. On the left rectangle, the smaller side is 6 ft, and the larger side is 16 ft. On the right rectangle, the smaller side is 4 ft. 6 ÷ 1.5 = 4, therefore 16 ÷ 1.5 = 10 2/3.
Graph the line with the equation
y = -1/3x + 4.
Answer:
Answer in the image
Step-by-step explanation:
Hi! Please help me!
Lightbulbs act as resistors. Janine is building a circuit that contains two lightbulbs in parallel. One of the lightbulbs has a
resistance of 120 ohms, but the resistance of the second lightbulb is unknown. She models the total
resistance in the
circuit, t, with this equation, in which r represents the resistance of the second lightbulb.
t =
1207
+ 120
Find the inverse of Janine's equation.
Look at photo below
Thank you have a nice day:)
Answer:
The answer is t^-1 (r)=120r/120-r
i hope this is right sry if im wrong have a good day :)
The inverse of Janine's equation is [tex]r = \frac{120t}{120-t}[/tex] .
What is resistance?Resistance is a measure of the opposition to current flow in an electrical circuit. Resistance is measured in ohms, symbolized by the Greek letter omega (Ω).
According to the question
Janine is building a circuit that contains two lightbulbs in parallel.
One of the lightbulbs has a resistance of 120 ohms.
R = 120ohms
r = resistance of the second lightbulb
t = total resistance in the circuit
[tex]t = \frac{120r}{r+120}[/tex]
Now,
The inverse of Janine's equation in which we will make r independent
[tex]t = \frac{120r}{r+120}[/tex]
[tex]t(r+120) = 120r[/tex]
[tex]tr + 120t = 120r[/tex]
[tex]120t = 120r - tr[/tex]
[tex]120t = r(120-t)[/tex]
[tex]r = \frac{120t}{120-t}[/tex]
Hence, the inverse of Janine's equation is [tex]r = \frac{120t}{120-t}[/tex] .
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Derek and Jeannine buy a car for a total price, including tax, of $19,795. The price of the car was $18,500. What is the tax rate.
Answer:1.07
Step-by-step explanation:
he grass in Jamie's yard grew 16161616 centimeters in 10101010 days. It was growing at a constant rate. How many days did it take the grass to grow 1111 centimeter
PLEASE NO LINKS AND NO NEGATIVITY
Answer:10r-54
Step-by-step explanation: you need to distribute following pemdas
Please help I don't understand i'm in the lowest class!
Answer:
Step-by-step explanation: