Step-by-step explanation:
yes .. when you put x=2 y will be 3 .. you get it?
Solve using substitution.
y = –6
–8x − 7y = –6
Okay so you put -6 in where y is then solve and youll get your answer
-8x-7(-6)=-6
A new computer graphics company employs 10 programmers. The company decides to expand into digital animation and needs to transfer 3 of the programmers into the new department. How many different combinations of 3 programmers can be chosen to transfer to the new department?
A. 3
B. 30
C. 120
D. 840
There are 120 different combinations of 3 programmers that can be chosen to transfer to the new department
How to determine the ways of selection?From the question, we have
Total number of programmers, n = 10
Numbers to programmers to select, r = 3
The number of ways of selection could be drawn is calculated using the following combination formula
Total = ⁿCᵣ
Where
n = 10 and r = 3
Substitute the known values in the above equation
Total = ¹⁰C₃
Apply the combination formula
ⁿCᵣ = n!/(n - r)!r!
So, we have
Total = 10!/(7! * 3!)
Evaluate
Total = 120
Hence, the number of ways is 120
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Last week, a dairy farm produced m kg of cheese. The dairy farm also produced 28 kg more yoghurt than cheese and 3 times as much ice cream as cheese. The dairy farm produced more kilograms of ice cream than yoghurt last week. Write and solve an inequality to work out the possible values of m.
Answer:
Hence the possible values of m are m > 14
So, the dairy farm produced greater than 14 kg of cheese
Step-by-step explanation:
We have m = kg of cheese,
let y = yogurt
and i = ice cream,
The dairy farm also produced 28 kg more yoghurt than cheese
y = m + 28
3 times as much ice cream as cheese
i = 3m
The dairy farm produced more kilograms of ice cream than yoghurt last week
i > y
so we have,
y = m + 28 (i)
i = 3m (ii)
i > y (iii)
Now, using (i) and (ii) in (iii),
i > y
3m > m + 28 (i = 3m, y = m + 28)
subtracting m from both sides,
3m - m > m - m + 28
2m > 28
dividing by 2 on both sides,
m > 28/2
m > 14
picture below/above..............
thanks
Answer:
a=33
hope it helps again.
Answer:
7.2" was replaced by "(72/10)". 2 more similar replacement(s)
(38/10)-(p/3-(72/10))=0
36
Simplify ——
5
38 P 36
—— - ( — - ——) = 0
10 3 5
The left denominator is : 3
The right denominator is : 5
Least Common Multiple: 15
L. Mult. • L. Num. p • 5
—————————— = —————
L.C.M 15
R. Mult. • R. Num. 36 • 3
—————————— = —————
L.C.M 15
p • 5 - (36 • 3) 5p - 108
——————— = —————
15 15
19
Simplify ——
5
19 (5p - 108)
—— - —————— = 0
5 15
The left denominator is : 5
The right denominator is : 15
L. Mult. • L. Num. 19 • 3
——————— = ————
L.C.M 15
R. Mult. • R. Num. (5p-108)
————————— = ————
L.C.M 15
19 • 3 - ((5p-108)) 165 - 5p
————————— = ——————
15 15
165 - 5p = -5 • (p - 33)
-5 • (p - 33)
—————— = 0
15
-5•(p-33)
—————— • 15 = 0 • 15
15
-5 • (p-33) = 0
-5 = 0
p-33 = 0
p = 33
horizon cellular offers a monthly plan of $15 for 350 minutes. All talk cellular offers a monthly plan of $20 for 425 minutes. which company offers the better plan per minute? ill give brainliest
Answer:
Step-by-step explanation:
350minutes / $15 = 23.33 minutes per dollar
425minutes/$20 = 21.25 minutes per dollar
Looks like you get more minutes per dollar out of the $15 dollar plan. :)
Answer:
the 15 dollar plan
Step-by-step explanation:
I GIVEEEE BRAINLILST
Answer:
its a scale factor of 4
Step-by-step explanation:
complete the table of values for x+y=6
Please could you write it down as a table ,
x=-2,-1,0,1,2,3,
y=
The table of values is attached
What are coordinates?
A pair of numbers that use the separations between the two reference axes to define the location of a point on a coordinate plane. usually represented by the x- and y-values, respectively, (x, y).
The position of a point or a shape in a given space is determined by coordinates, which are numbers (a map or a graph ).
x+y=6
=> y=6- x
When x= -2,
y=6- (-2) = 6+2 = 8
When x= -1,
y=6- (-1) = 6+1 = 7
When x= 0,
y=6- (0) = 6
When x= 1,
y=6- (1) = 5
When x= 2,
y=6- (2) = 4
When x= 3,
y=6- (3) = 3
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228÷19 in Standard form help please
Here. Just click On the image and copy, your welcome I guess.
In the circle below, segment AB is a diameter. if the length of are ACB is 6, what is the length of the radius of the circle?
If AB is the diameter, it means the arc ACB is a semicircle (arc of 180°).
So, to calculate the radius of the circle, we can use the following rule of three:
\(\begin{gathered} \text{arc}\to\text{length} \\ 360\degree\to2\pi r \\ 180\degree\to x \\ \frac{360}{180}=\frac{2\pi r}{x} \\ 2=\frac{2\pi r}{x} \\ 2x=2\pi r \\ x=\pi r \end{gathered}\)The length of a semicircle is given by πr. If this arc measures 6π, we have:
\(\begin{gathered} \pi r=6\pi \\ \frac{\pi r}{\pi}=\frac{6\pi}{\pi} \\ r=6 \end{gathered}\)So the radius of this circle is equal 6 units.
please help me asap.
Answer:
25.1 ft
I hope it helps❤
Step-by-step explanation:
8×3.14=25.12
Answer: 25.1 ft
Step-by-step explanation:
C=2(3.14)r
C=2(3.14)(4)
C=25.12
25.12 rounds to 25.1
What the meaning of statement this?
This statement essentially establishes a relationship between the sets X, Y, and z, stating that there exists a subset Y for each element x in X such that the elements in Y are present in some subset z of X.
The given statement is a symbolic representation of a logical proposition involving quantifiers and logical connectives. Let's break down its meaning:
∀ X ∃ Y ∀u(u ∈ Y ↔ ∃z(z ∈ X ∧ u ∈ z))
The symbol ∀ (universal quantifier) indicates that the statement applies to all elements in the set X.
The symbol ∃ (existential quantifier) indicates that there exists at least one element in the set Y.
The statement can be interpreted as follows:
"For all elements x in the set X, there exists a set Y such that for every element u in Y, u is an element of Y if and only if there exists a set z in X such that u is an element of z."
In simpler terms, the statement asserts that for every element x in the set X, there is a set Y that contains elements u if and only if there exists a set z in X that also contains u.
It is important to note that the precise meaning and implications of this statement may depend on the context and interpretation of the sets X, Y, and their elements.
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The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal costs $78.74
before the discount, and they leave a 20% tip. If the tip applies to the cost of the meal before the
discount, what is the total cost of the meal? Round your intermediate calculations and answer to thenearest cent.
Answer:
it is 82.53 round to 82.50 ithink
If m,1 = 100 find m,5
Use the chain rule to find the derivative of
f(x) = 4√/8x³ + 2x4
Type your answer without fractional or negative exponents. Use sqrt(x) for √√x.
X.
f'(x) =
Using chain rule, the derivative of f(x) = 4√(8x³ + 2x⁴) is
f'(x) = (2/√(8x³ + 2x⁴)) * (24x² + 8x³)
What is the derivative of the function?To find the derivative of the function f(x) = 4√(8x³ + 2x⁴), we can use the chain rule.
Let's break down the function into its components:
u(x) = 8x³ + 2x⁴ (inside function)
v(u) = 4√u (outer function)
To find the derivative, we apply the chain rule, which states:
(f(g(x)))' = f'(g(x)) * g'(x)
In this case, f(g(x)) = v(u(x)), and g(x) = u(x).
First, let's find the derivative of the inner function u(x):
u'(x) = 24x² + 8x³ (using the power rule for differentiation)
Next, let's find the derivative of the outer function v(u):
v'(u) = 4 * (1/2) * 1/√u = 1/√2u = 2/√u
Now, we can apply the chain rule:
f'(x) = v'(u(x)) * u'(x)
f'(x) = (2/√u) * (24x² + 8x³)
f'(x) = (2/√(8x³ + 2x⁴)) * (24x² + 8x³)
The derivative of the function is (2/√(8x³ + 2x⁴)) * (24x² + 8x³)
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Order cube root of eighty-eight, twenty-eight ninths, square root of nineteen from greatest to least.
cube root of eighty-eight, twenty-eight ninths, square root of nineteen
twenty-eight ninths, square root of nineteen, cube root of eighty-eight
twenty-eight ninths, cube root of eighty-eight, square root of nineteen
cube root of eighty-eight, square root of nineteen, twenty-eight ninths
Answer:
(a) twenty-eight ninths, square root of nineteen, cube root of eighty-eight
Step-by-step explanation:
When ordering a list of numbers by hand, it is convenient to convert them to the same form. Decimal equivalents are easily found using a calculator.
OrderThe attachment shows the ordering, least to greatest, to be ...
\(\dfrac{28}{9}.\ \sqrt{19},\ \sqrt[3]{88}\)
__
Additional comment
We know that √19 > √16 = 4, and ∛88 > ∛64 = 4, so the fraction 28/9 will be the smallest. That leaves us to compare √19 and ∛88, both of which are near the same value between 4 and 5.
One way to do the comparison is to convert these to values that need to have the same root:
√19 = 19^(1/2) = 19^(3/6) = sixthroot(19³)
∛88 = 88^(1/3) = 88^(2/6) = sixthroot(88²)
The roots will have the same ordering as 19³ and 88².
Of course, these values can be found easily using a calculator, as can the original roots. By hand, we might compute them as ...
19³ = (20 -1)³ = 20³ -3(20²) +3(20) -1 = 8000 -1200 +60 -1 = 6859
88² = (90 -2)² = 90² -2(2)(90) +2² = 8100 -360 +4 = 7744
Then the ordering is ...
28/9 < 19³ < 88² ⇒ 28/9 < √19 < ∛88
Answer:
the ordering is
28/9 < 19³ < 88² ⇒ 28/9 < √19 < ∛88
Step-by-step explanation:
If the ratio of red objects to blue objects is 3 : 1, what precent of the objects are red?
Answer:
75%
Step-by-step explanation:
If the ratio of red:blue is 3:1, then there are 4 (some multiple of 4) in all.
The ratio of red:total is 3:4
3/4 is .75, times by 100 to convert to a percent.
.75 × 100 is 75%
\( \sqrt{20} \times \sqrt{15} \times \sqrt{3} \)
can you help me solve it
Evaluate the expression
if x = 2, y = 3, and z = 4.
2x²-y + 2(z-1)
Answer:
11
Step-by-step explanation:
Substituting the values of x, y, and z into the expression, we get:
2x² - y + 2(z-1) = 2(2)² - 3 + 2(4-1)
= 2(4) - 3 + 2(3)
= 8 - 3 + 6
= 11
Therefore, if x = 2, y = 3, and z = 4, then the value of the expression 2x² - y + 2(z-1) is 11.
Answer:
11
Step-by-step explanation:
if x = 2, y = 3, and z = 4.
2x²-y + 2(z-1)
Substituting the given values of x, y, and z, we get:
2x² - y + 2(z-1) = 2(2)² - 3 + 2(4-1)
= 2(4) - 3 + 2(3)
= 8 - 3 + 6
= 11
Therefore, the value of the expression when x = 2, y = 3, and z = 4 is 11.
BODMAS (Brackets, Order, Division, Multiplication, Addition, Subtraction) is used to determine the sequence of operations in a mathematical expression. It is used to avoid confusion and ensure that everyone obtains the same answer from a mathematical expression. The rule states that the operations inside the brackets must be done first, followed by orders, then division and multiplication (from left to right), and finally addition and subtraction (from left to right).
the difference of a number and 4 is equal to 48?
Answer:
49
Step-by-step explanation:
x - 4 = 45
x = 49
you roll a standard cube. find p(number greater than 3)
The probability of rolling a number greater than 3 is 1/2 or 0.5.
When rolling a standard cube, there are six possible outcomes, corresponding to the six faces of the cube. Each face has a number from 1 to 6.
To find the probability of rolling a number greater than 3, we need to determine the number of favorable outcomes (rolling a number greater than 3) and divide it by the total number of possible outcomes (rolling any number from 1 to 6).
The favorable outcomes for rolling a number greater than 3 are: 4, 5, and 6. So, there are three favorable outcomes.
The total number of possible outcomes is six since there are six faces of the cube.
Therefore, the probability of rolling a number greater than 3 is:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 3 / 6
Probability = 1/2
Hence, the probability of rolling a number greater than 3 is 1/2 or 0.5.
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Suppose that a news article claims that 4% of allAmericans live with vision impairment. Astudy done on 200 Americans showed that9% of them had vision impairment.a) 200 Americans is a...Sample
Solution
Then it means that 200 Americans is a sample
A sample is just a part of a population
Solve the right triangle. Round to the nearest degree and nearest tenth of a unit.
Answer:
10.63015
10.63015
Step-by-step explanation:
c=a2+b2=82+72
What is the diameter of a circle with a circumference of 29.4ft?
Answer:
9.358
9.36 (rounded to the nearest hundredths)
9.4 (rounded to the nearest tenth)
Step-by-step explanation:
d = C/π = 29.4/π ≈ 9.358
m∠ __ +m∠BPD=180∘
what is the blank for Linear Pairs
The blank space to form a linear pair with m∠BPD is m∠APD.
What are linear pair angles?Linear pair of angles are formed when two lines intersect each other at a single point.
Linear pair angles are adjacent to each other.
Therefore, the sum of a linear pair angles is equals to 180 degrees.
This means linear pair angles are supplementary.
Hence,
m∠APD + m∠BPD = 180°
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Consider a graph of the equation y = −3x + 4. What is the y-intercept? Answers: −3, 3, 4, −4
Answer:
When finding the y-intercept it indicates that the x-coordinate will be zero.
So,when letting x=0 you will get
y=-3(0)+4
Hence,
y=4
Step-by-step explanation:
For each function, find f(−x) and −f(x) and then determine whether it is even, odd, or neither. Justify your answer. f(x)=2x^2-7x+10
The function f(x) = 2x² - 7x + 10 is an odd function.
f(-x) = 2(-x)² - 7(-x) + 10
= 2x² + 7x + 10
-f(x) = -[2x²- 7x + 10]
= -2x² + 7x - 10
To determine whether the function f(x) = 2x² - 7x + 10 is even, odd, or neither, we compare f(-x) and -f(x).
1. f(-x) = 2x² + 7x + 10
2. -f(x) = -2x² + 7x - 10
To determine if f(-x) = -f(x) (even function), we substitute -x for x in f(x) and check if the equation holds.
1. f(-x) = 2x² + 7x + 10
= f(x) (not equal to -f(x))
Since f(-x) is not equal to -f(x), the function is not even.
Next, to determine if f(-x) = -f(x) (odd function), we substitute -x for x in f(x) and check if the equation holds.
2. -f(x) = -2x² + 7x - 10
= -(2x² - 7x + 10)
= -(f(x))
Since -f(x) is equal to -(f(x)), the function is odd.
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Diven {x) = 3x- 1 and 9(x) = 2x-3, for which value of x does g(X) = {2)?
The calculated value of x at g(x) = 2 is x = 2.5
How to determine the value of x at g(x) = 2from the question, we have the following parameters that can be used in our computation:
f(x) = 3x - 1
Also, we have
g(x) = 2x - 3
When g(x) - 2, we have
2x - 3 = 2
So, we have
2x = 5
Divide by 2
x = 2.5
Hence, the value of x at g(x) = 2 is x = 2.5
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Determining the area of a sector of a circle...
The area of a segment of a circle is (12π-9√3) square inches.
We have to determine the area of a segment of a circle.
The formula for the area of the sector that:
Arc length = πr² (θ/360)
Where r = the radius of the circle,
θ = the angle (in degrees) subtended by an arc at the center of the circle.
As per the shown figure, it is given that:
Central angle θ = 120°
The radius of a circle r = 6 in.
The area of the sector A₁ = π(6)² (120/360)
The area of the sector A₁ = 12π in²
The area of the triangle within the sector:
A₂ = 1/2 × (6√3)(3) = 9√3 in²
Now, the area of the segment is:
A₁ - A₂ = (12π - 9√3) in²
Therefore, the area of a segment of a circle is (12π-9√3) square inches.
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please help 8th grade math
Answer:
I'm in the 8th grade and I could probably help you out
Step-by-step explanation:
There are two identical bottles. One bottle contains 2 green balls and 1 red ball. The other contains 2 red balls. A bottle is selected at random and a single ball is drawn. What is the probability that the ball is red
Answer:
2/3
Step-by-step explanation:
P(b1) = probability of bottle 1 = 1/2
P(b2) = probability of bottle 2 = 1/2
Bottle 1 = 2 green, 1 red ; total = 3
P(red ball1) = 1/3
Bottle 2 : red balls = 2, total balls = 2
P(red ball2) = 2/2 = 1
P(red ball) = [p(b1) * p(redball1)] = 1/2 * 1/3 = 1/6
P(red ball) = [p(b2) * p(redball2)] = 1/2 * 1 = 1/2
1/6 + 1/2 = (1 + 3) / 6 = 4/6 = 2/3