Answer:
The answer is D, Katie paid $40 for 4 hours
Step-by-step explanation:
If Rita pays $35 for 3 hours and Luna pays $45 for 5 hours
Just do 35 + 5 = 40
You get 40, so,
Katie paid $40 for 4 hours
Oh, i legit didnt see that "Dont need to send the math"
my bad, srry.
Prove
that
2 cos (A +45°) cos (B-45°) = cos 2A
Answer:
Step-by-step explanation:
2 cos(A+45)cos (B-45)
=2[cos A cos 45-sin A sin 45][cos B cos 45+sin B sin 45]
=2[cos A ×1/√2-sin A ×1/√2][cos B×1/√2+sin B×1/√2]
=2[1/√2(cos A-sin A)][1/√2(cos B-sin B]
=2×1/√2×1/√2 (cos A-sin A)(cos B+sin B)
=cosA cos B+cos A sin B-sin A cos B-sin A sin B
=cos A cos B-sin A sin B-(sin A cos B-cos A sin B)
=cos (A+B)-sin (A-B)
i think there should be A in place of B.
then
=cos (A+A)-sin (A-A)
=cos 2A-sin 0
=cos 2A
as sin 0=0
Toko sepatu memberi diskon 30% untuk semua barang.Jika tasya membeli sepasang sepatu dan ia membayar Rp 336.000,00 setelah mendapat diskon,harga sepasang sepatu tersebut sebelum diskon adalah
Answer:
IDR 480,000
Step-by-step explanation:
Persentase diskon = Harga lama - Harga baru / Harga lama
Harga lama = Harga sebelum diskon = x
Harga Baru = IDR 336000
Persentase diskon = 30%
Karenanya:
30% = x - 336000 / x
30/100 = x - 336000 / x
0.3 = x - 336000 / x
Cross Multiply
0.3 × x = x - 336000
0.3x = x - 336000
x - 0.3x = 336000
0.7x = 336000
x = 336000 / 0.7
x = IDR 480,000
Make r the subject of x=e+r/d
Answer:
r = dx - de
Step-by-step explanation:
x = e + r/d
x - e = r/d
d (x - e) = r
dx- de = r
r = dx - de
turn -8 7/11 into a decimal
Answer:
-8.6363 the proper answer (estimated) is -8.66
Answer:
-7.37 is the answer for this.
if 2x^2 + 6x = 36 what are the possible values of x? specifically 2 answers?
Step-by-step explanation:
2x^2+6x=36
x^2+3x=12
x^2+3x-12=0
x=(-3+(57)^0.5)/2 or x=(-3-(57)^0.5)/2
Understand the if a quadratic equation is factorable.
Given the following quadratic expression:
\(\text{ }\frac{169}{9}=(x-6)^2\)Let's check if the given equation can be solved by factoring.
a.) Let's determine the original equation.
\(\text{ }\frac{169}{9}=(x-6)^2\)\(\text{ }\frac{169}{9}=x^2\text{ - 12x + 36}\)\(x^2\text{ - 12x + 36 - }\frac{169}{9}\text{ = 0}\)\(\text{ }x^2\text{ - 12x + }\frac{324}{9}\text{ - }\frac{169}{9}\text{ = 0 }\rightarrow\text{ }x^2\text{ - 12x + }\frac{324-169}{9}\text{ = 0 }\)\(x^2\text{ - 12x + }\frac{155}{9}\text{ = 0 }\)From the original equation, we observed that the constant 155/9 is not a perfect square. For the original quadratic equation to be factorable, we must apply the method of completing the square.
Therefore, we can say that the original quadratic equation can't be solved by factoring.
Can someone please help me with this math question
Answer:
D
Step-by-step explanation:
the graph has a negative correlation
HELP! offering 75 points
Answer: C
Step-by-step explanation:
hope this helped
The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May it cost her $356 to drive 380 mi and in June it cost her $404 to drive 620 mi. The function is C(d)=0.2+280 (b) Use part (a) to predict the cost of driving 1800 miles per month. (c) Draw a graph (d) What does the slope represent? What does the C-intercept represent? Why does a linear function give a suitable model in this situation?
(b) $640 (c) y-int of 280, positive slope (d) It represents the cost (in dollars) per mile. It represents the fixed cost (amount she pays even if she does not drive). A linear function is suitable because the monthly cost increases as the number of miles driven increases.
To predict the cost of driving 1800 miles per month, substitute 1800 in the given function C(d) = 0.2d + 280C(1800) = 0.2 (1800) + 280= $640 per month. Therefore, the cost of driving 1800 miles per month is $640.
(b) Graph is shown below:(c)The slope of the graph represents the rate of change of the cost of driving a car per mile. The slope is given by 0.2, which means that for every mile Lynn drives, the cost increases by $0.2.The y-intercept of the graph represents the fixed cost (amount she pays even if she does not drive).
The y-intercept is given by 280, which means that even if Lynn does not drive the car, she has to pay $280 per month.The linear function gives a suitable model in this situation because the monthly cost increases as the number of miles driven increases.
This is shown by the positive slope of the graph. The fixed cost is also included in the function, which is represented by the y-intercept. Therefore, a linear function is a suitable model in this situation.
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Joe has some pocket money. He spends three-quarters of it. He has fifty pence left. How much pocket money did he have
Answer:
He started with 1.25
Step-by-step explanation:
Joe started with 1.25 if he spends 3 quarters of that which is equal to .75 hell have .50 left
1.25-.75=.50
In scientific notation, 76 000 = 7.6x 10".
n =
Answer:
4 :)
Step-by-step explanation:
error analysis correct the error in the following equation explain the mistake 5x + 5(-2x - 12) = 130 5x + -10x - 60 = 130 =65x = 130 x = -2
Answer:
Step-by-step explanation:
The given error full solution is
5x+5(-2x-12)=130
5x+-10x-60=130
65x=130x=-2.
Correct answer is given as
5x+5(-2x-12)=130.
We solve this question using Bodmas rule. So first we remove the parenthesis.
5x+5(-2x-12)=130
5x+5(-2x)+5(-12)=130
5x-10x-60=130
-5x=130+60
-5x=190
dividing both side by by (-5). We, get
x=190/(-5)
x=-38
Hence, the correct answer is x=-5
jimmy reads an article with 9,720 words in 45 minutes. about how many words does he read per minute?
Answer:
About 216 words per minute.
Step-by-step explanation:
show that 2 1/4 - 6/7 = 11/28
blehh
Hence the required expression is Proved.
Given the expression is 2 1/4 ₋ 6/7 = 39/28
Consider L.H.S 2 1/4 ₋ 6/7
Convert improper fraction to proper fraction.
2 1/4 = 9/4
take LCM of the denominators.
The LCM is 28.
9×7/28 ₋ 6×4/28
63/28 ₋ 24/28
Now subtract.
63 ₋ 24/28
39/28
Hence proved.
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Your question is incomplete. Please find the missing content here.
Show that 2 1/4 ₋ 6/7 = 39/28
Determine whether each relation is an equivalence relation. Justify your answer. If the relation is an equivalence relation, then describe the partition defined by the equivalence classes.
e) The domain is the set of all integers. xOy if x + y is odd. An integer z is odd if z = 2k + 1 for some integer k.
The relation xOy is not reflexive and not transitive, it is not an equivalence relation. There are no equivalence classes to describe.
To determine whether the relation xoy on the set of all integers, where xoy if x+y is odd, is an equivalence relation, we need to check if it satisfies the three properties of reflexivity, symmetry, and transitivity.
1. Reflexivity:
For any integer x, x+x=2x, which is even.
Therefore, x0x is false, and the relation is not reflexive.
2. Symmetry:
If xOy, then x+y is odd. But y+x is also odd since addition is commutative.
Therefore, yOx, and the relation is symmetric.
3. Transitivity:
If xOy and yOz, then x+y is odd and y+z is odd. Adding these equations together,
we get x+y+y+z=x+z+2y, which is even.
Therefore, x+z is even, and xOz is false. Thus, the relation is not transitive.
Since the relation xOy is not reflexive and not transitive, it is not an equivalence relation. There are no equivalence classes to describe.
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The relation xOy is not reflexive and not transitive, it is not an equivalence relation. There are no equivalence classes to describe.
To determine whether the relation xoy on the set of all integers, where xoy if x+y is odd, is an equivalence relation, we need to check if it satisfies the three properties of reflexivity, symmetry, and transitivity.
1. Reflexivity:
For any integer x, x+x=2x, which is even.
Therefore, x0x is false, and the relation is not reflexive.
2. Symmetry:
If xOy, then x+y is odd. But y+x is also odd since addition is commutative.
Therefore, yOx, and the relation is symmetric.
3. Transitivity:
If xOy and yOz, then x+y is odd and y+z is odd. Adding these equations together,
we get x+y+y+z=x+z+2y, which is even.
Therefore, x+z is even, and xOz is false. Thus, the relation is not transitive.
Since the relation xOy is not reflexive and not transitive, it is not an equivalence relation. There are no equivalence classes to describe.
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Determine whether each formula is explicit or recursive. Then find the first five terms of each sequence. a n = -3 a n₋ ₁ , where a₁=-2
The given formula, aₙ = -3aₙ₋₁, where a₁ = -2, is a recursive formula. The first five terms of the sequence are -2, 6, -18, 54, and -162.
In a recursive formula, each term of the sequence is defined in terms of previous terms. In this case, the value of each term aₙ is determined by multiplying the previous term aₙ₋₁ by -3.
To find the first five terms of the sequence, we can use the recursive formula:
a₁ = -2
a₂ = -3a₁ = -3(-2) = 6
a₃ = -3a₂ = -3(6) = -18
a₄ = -3a₃ = -3(-18) = 54
a₅ = -3a₄ = -3(54) = -162
Therefore, the first five terms of the sequence are -2, 6, -18, 54, and -162.
The recursive formula allows us to generate subsequent terms of the sequence by applying the given rule to the previous term. It provides a relationship between terms in a sequential manner.
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One gram of protein contains 4 calories. One gram of fiber contains 2 calories. A protein bar has 80 calories from p grams of protein and f grams of fiber.
The equation 4p+2f=80 represents the relationship between these quantities.
Which pair of values could be the number of grams of protein and fiber in the protein bar?
Pairs of values that could be the number of grams of protein and fiber in the protein bar are:
10 grams of protein and 20 grams of fiber. That is, (10, 20)
and
15 grams of protein and 10 grams of fiber. That is, (15, 10)
Calculating value pairsFrom the question, we are to determine the pair of values that could be the number of grams of protein and fiber in the protein bar
From the given information,
The protein has 80 calories from p grams of protein and f grams of fiber
and
The equation that represents the relationship is
4p + 2f = 80
To determine the pair of values, we can determine the values of f for certain values of p
When p = 10
4p + 2f = 80
4(10) + 2f = 80
40 + 2f = 80
2f = 80 - 40
2f = 40
f = 40/2
f = 20
A pair of values is 10 grams of protein and 20 grams of fiber.
When p = 15
4p + 2f = 80
4(15) + 2f = 80
60 + 2f = 80
2f = 80 - 60
2f = 20
f = 20/2
f = 10
Thus,
Another pair of values is 15 grams of protein and 10 grams of fiber.
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The ages of armadillos are normally distributed, with a mean of 14 years and a standard deviation of 1.2. Approximately what percentage of the armadillos are between 13 and 17 years old? 20.33% 49.38% 47.62% 79.05%
Answer:
20.33%
Step-by-step explanation:
Answer:
D) 79.05%
Step-by-step explanation:
I JUST TOOK DA TEST
Good morning/Evening, i hope ur having a great day can you please solve this by today?
PROBLEM SOLVING m angle U = 2x degree, and m angle V = 4m angle U.
Which value of x makes angle U and angle V complements of
each other?
A. 25
B. 9
C. 36
D. 18
the image of the question is attached
Answer:
B. 9
Step-by-step explanation:
m∠U = 2x°
m∠V = 4m∠U
= 4(2x°)
= 8x°
Complementary angles add up to 90°.
∠U + ∠V = 90°
2x° + 8x° = 90°
10x° = 90°
x = 90° ÷ 10°
= 9
Find g(x), where g(x) is the translation 6 units left and 4 units up of f(x)=x2
The transformation of f(x) to g(x) is g(x) = (x + 6)² + 4
Describing the transformation of f(x) to g(x).From the question, we have the following parameters that can be used in our computation:
The functions f(x) and g(x)
Where, we have
f(x) = x²
The translation 6 units left and 4 units up means that
g(x) = f(x + 6) + 4
So, we have
g(x) = (x + 6)² + 4
This means that the transformation of f(x) to g(x) is g(x) = (x + 6)² + 4
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A recipe for one batch of cookies calls for 3 cups of sugar and 2 tablespoons of salt.
How many batches can you make with 12 cups of sugar and 8 tablespoons of salt?
How do you solve a quadrilateral problem?
Answer:
It depends on what the question is.
Step-by-step explanation:
How do Apply the Gram-Schmidt process to transform the following set of vectors in to orthonormal vectors (1,2,1), (1, -1,0), (0,1,0)?
To transform a set of vectors into orthonormal vectors using the Gram-Schmidt process, normalize the first vector, compute the projections onto the previous orthonormal vectors, subtract the projections, and normalize the resulting vectors successively.
To apply the Gram-Schmidt process to transform the set of vectors (1, 2, 1), (1, -1, 0), (0, 1, 0) into orthonormal vectors, follow these steps:
Take the first vector, v1 = (1, 2, 1), and normalize it to obtain the first orthonormal vector, u1:
u1 = v1 / ||v1||, where ||v1|| represents the norm or magnitude of v1.
Compute the projection of the second vector, v2 = (1, -1, 0), onto the first orthonormal vector, u1:
proj(v2, u1) = (v2 · u1) * u1, where · represents the dot product.
Subtract the projection from v2 to obtain a new vector, v2' = v2 - proj(v2, u1).
Normalize v2' to obtain the second orthonormal vector, u2:
u2 = v2' / ||v2'||.
Repeat steps 2-4 for the third vector, v3 = (0, 1, 0), using u1 and u2 as the previous orthonormal vectors.
The resulting vectors u1, u2, and u3 will be the orthonormal vectors obtained through the Gram-Schmidt process.
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Pleaseee help me to do thiss
The other factor of f(x) is determined as 6x² - x - 15.
What is the other factor of f(x)?If you are given that x - 4 is a factor of f(x) = 6x³ - 25x² - 11x + 60, you can use polynomial long division or synthetic division to find the other factor(s) and the remainder.
Using synthetic division:
4 | 6 -25 -11 60
| 24 -4 -28
|----------------
6 -1 -15 32
So, the quotient is 6x² - x - 15 and the remainder is 32. Therefore, we can write:
f(x) = (x - 4)(6x² - x - 15) + 32
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Complete the steps to solve the equation 2x2 + 12x-42=0 by completing the square.
2x² + 12x-42 = 0
Answer:
2(-3±√120)
Step-by-step explanation:
quadratic formula
Which equation is quadratic in form? 3x5 8x3 6 = 0 6x4 7x2 – 3 = 0 5x6 x4 12 = 0 x9 x3 – 10 = 0.
The equation that is quadratic form is 6(x + 2)²+ 8x + 2 + 1 = 0
What is a quadratic equation?A quadratic equation is an algebraic expression whose polynomial is in the order of two. The general formula for representing a quadratic equation takes the order of:
ax² + bx + c = 0From the given options, the equation that takes a quadratic form is:
6(x + 2)²+ 8x + 2 + 1 = 0
solve the brackets
6(x² + 4x + 4) + 8x + 3 = 0
6x² + 24x + 24 + 8x + 3 = 0
6x² + 32x + 27 = 0
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Answer:
a
Step-by-step explanation:
What is the perimeter, in units, of ΔABC
Δ
A
B
C
with A(−1,−6)
A
(
−
1
,
−
6
)
, B(7,−6)
B
(
7
,
−
6
)
, and C(3,−3)
C
(
3
,
−
3
)
?
Answer:
To find the perimeter of triangle ABC, we need to find the lengths of all three sides of the triangle. To do this, we can use the distance formula, which states that the distance between two points (x1, y1) and (x2, y2) is given by the square root of ((x2 - x1)^2 + (y2 - y1)^2).
Applying this formula, we can find the lengths of the sides of the triangle as follows:
AB = sqrt((7 - (-1))^2 + (-6 - (-6))^2) = sqrt(8^2 + 0^2) = sqrt(64) = 8
BC = sqrt((3 - 7)^2 + (-3 - (-6))^2) = sqrt(-4^2 + 3^2) = sqrt(16 + 9) = sqrt(25) = 5
AC = sqrt((-1 - 3)^2 + (-6 - (-3))^2) = sqrt(-4^2 + 3^2) = sqrt(16 + 9) = sqrt(25) = 5
Thus, the perimeter of triangle ABC is 8 + 5 + 5 = 18 units.
PLEASE HELP!!! I NEED TO HAVE THIS DONE SOON!
Answer:
A = 54 is the correct answer!
Step-by-step explanation:
I did this test too! Hope this helped!
What is the Value of e-[infinity]?
Answer: The value of e^(-∞) (e to the power of negative infinity) is equal to zero.
To see why, recall that e is a positive constant approximately equal to 2.71828. As the exponent approaches negative infinity, e^(-∞) represents the limit of a number getting closer and closer to zero but never actually reaching zero.
We can use the limit definition to evaluate the limit of e^(-x) as x approaches infinity:
lim e^(-x) = 0
x→∞
To see this, note that as x becomes very large, the denominator e^x becomes very large, causing the fraction to approach zero. Since the limit of e^(-x) as x approaches infinity is zero, we can say that e^(-∞) is also equal to zero.
In summary, e^(-∞) = 0.
Step-by-step explanation:
I need to find the value of x in this figure.
Please explain how to do so.
Answer: 2x^2
Step-by-step explanation:
(x+5)
x (2x - 9)
-----------------
X times 2x = 2x^2