The type of answer that you would expect from the problem (-4) x √7 is B-Irrational; When these numbers are multiplied, the answer still has an irrational number in it, so the answer is irrational.
An irrational number is one that is known to be defined as a numerical value that cannot be shown as a quotient of two integers.
It is seen as a given mathematical theorem that the product of a non-zero rational number as well as an irrational number will bring about an irrational number.
Therefore, The given question involves a non-zero rational number of -4 and an irrational number of the square root of 7. The presence of an irrational number in the outcome confirms that the answer is irrational, as multiplying them will result in this.
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Use the information to answer the question. The table shows the amount of lemon juice and water that 4 students mix. Student Luca Kal Jenna Micah Lemon Juice Water (fluid ounces) (fluid ounces) 2 6 4 6 10 8 9 B Which two students mix the same ratio of lemon juice to water? Choose two students to show the answer.
The two students that mix the same ratio of juice to water is given as follows:
A. Luca.
D. Micah.
How to obtain the ratio between two amounts?The ratio between two amounts a and b is given as follows:
a to b.
Which is also the division of the two amounts.
Hence the ratio of juice to water for each person is given as follows:
Luca: 2/6 = 1/3.Kal: 6/10 = 3/5.Jenna: 4/8 = 1/2.Micah: 3/9 = 1/3.Hence Luca and Micah used the same ratio, meaning that options A and D are correct.
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A girl who is flying a kite lets out 200 feet of string which makes an angle of 50° with the ground. Assuming that the string is stretched out, find, to the nearest foot, how high the kite is above ground.
The height of the kite from the ground when the angle is 50 degrees is 232 feet.
What is trigonometry?The study of the correlations between triangles' sides and angles is the focus of the mathematic branch known as trigonometry. To link the angles of a right triangle to the lengths of its sides, it makes use of trigonometric functions like sine, cosine, and tangent.
Numerous industries, including physics, engineering, and navigation, use trigonometry. It can be used, for instance, to determine a building's height or the separation between two locations on a map, as well as to examine how waves and oscillations behave.
To find the height of the kite above the ground we use the trigonometric identity of tangent.
Thus, we have:
tan(50°) = h/200
Now, using cross multiplication:
h = 200 tan(50°) ≈ 232 feet
Hence, the height of the kite from the ground when the angle is 50 degrees is 232 feet.
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The equation C=24n+2 represents the cost
Jim did not buy any tickets (n_Jim = 0).
Larry bought 7 more tickets than Jim.
To determine the number of tickets Larry bought more than Jim, we need to find the values of n for Larry and Jim's ticket purchases.
For Larry:
Let's substitute C = $170 into the equation C = 24n + 2 and solve for n:
$170 = 24n + 2
Subtracting 2 from both sides:
$168 = 24n
Dividing both sides by 24:
n = 7
For Jim:
We can calculate the number of tickets Jim bought by subtracting 12 from Larry's number of tickets:
n_Jim = n_Larry - 12
n_Jim = 7 - 12
n_Jim = -5
Since we cannot have a negative number of tickets, we can conclude that Jim did not buy any tickets (n_Jim = 0).
To find the difference in the number of tickets bought, we subtract the number of tickets Jim bought from the number of tickets Larry bought:
n_difference = n_Larry - n_Jim
n_difference = 7 - 0
n_difference = 7
Therefore, Larry bought 7 more tickets than Jim.
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Question
The equation C=24n+2 represents the cost, C, in dollars, of buying n tickets to a play. J $170. How many more tickets did Larry buy than Jim? 12
A circle's radius is 29 cm when the circle begins shrinking, so that its radius length decreases at a constant rate of 4 cm per second. a. Write a formula that expresses the radius of the circle, (in cm), in terms of the number of seconds, t, since the circle started shrinking # Preview syntax error. b. Write a formula that expresses the area of the circle, A (in cm), in terms of the circle's radius, (in cm). A = piera Preview. c. Write a formula that expresses the circle's area , A (in cm), in terms of the number of seconds, 6. since the circle started shrinking A Preview syntax error. d. Define a function that determines the area of the circle, f(t) in cm², given the number of seconds, t, since the circle started shrinking. (t)- the Preview syntax error. e. Repeat part (c), but assume that the radius of the circle is shrinking at a constant rate of 8 cm per second.
a. The formula to express the radius of the circle is: r = 29 - 4t b. The area of the circle is: A = πr² c. The formula that expresses the circle's area in terms of the number of seconds is: A = π(29 - 4t)².
How are functions determined?Every conceivable input value results in precisely one output value in a function. "The output is a function of the input," we state.
The domain is made up of the input values, while the range is made up of the output values.
Choose the input values. Determine the results. Consider the connection to be a function if each input value results in just one output value. Do not identify the relationship as a function if any input value results in two or more outputs.
Let us suppose the radius is shirking at rate = t.
Then,
a. The formula to express the radius of the circle is:
r = 29 - 4t
b. The area of the circle is given by the formula:
A = πr²
c. The formula that expresses the circle's area , A (in cm), in terms of the number of seconds is:
A = π(29 - 4t)²
d. The function that determines the area of the circle, f(t) is:
f(t) = π(29 - 4t)²
f(t) = (16t² - 232t + 841)π
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You buy tomatoes in 25- pound cases. One batch of cobb salad requires 6 ounces of tomatoes. How many portions can be made with one shipment. Round diwn don't include partial portions
I don’t know the answer
Answer:
(a+b) (a-b) =a^2 - b^2
In this question a=2, b=square root of 5
So 2*2=4 square root of 5 times square root of 5 is 5
4-5=-1
Answer:
I believe the answer is -1.
Step-by-step explanation:
So I distributed,
2 x 2 = 4
\(-\sqrt{5}\) x 2 = \(-2\sqrt{5}\)
\(\sqrt{5}\) x 2 = \(2\sqrt{5}\)
\(\sqrt{5}\) x \(-\sqrt{5}\) = -5
4 \(-2\sqrt{5}\) + \(2\sqrt{5}\) - 5 = ?
the radicals cancel out and 4 -5 = -1
Bound
Figure 2.
Jenny would like to buy a new air conditioner for his home. As seen in Figure 2 above he has
3 types of brands that he can consider. The cash price for Daewoo is RM1,899, Daikin at a
price of RM1,699 and last choice is Mitsubishi at a price of RM1.999. He plans to make 18
monthly instalments, if he pays RM300 as a down payment for the air conditioner that he would
like to buy, find the interest charge for each brand if the interest rate is 4% based on originall
balance if he chooses to buy from Daikin, find the monthly instalment price and instalment
price that he needs to pay.
if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).
How to determine the monthly instalment price and instalment price that Daikin needs to pay.Calculating the loan amount for each brand by subtracting the down payment from the cash price:
Loan amount for Daewoo = RM1,899 - RM300 = RM1,599
Loan amount for Daikin = RM1,699 - RM300 = RM1,399
Loan amount for Mitsubishi = RM1,999 - RM300 = RM1,699
Calculating the interest charge for each brand:
Interest charge for Daewoo = Loan amount for Daewoo * Interest rate = RM1,599 * 0.04 = RM63.96
Interest charge for Daikin = Loan amount for Daikin * Interest rate = RM1,399 * 0.04 = RM55.96
Interest charge for Mitsubishi = Loan amount for Mitsubishi * Interest rate = RM1,699 * 0.04 = RM67.96
To find the monthly installment price, divide the total amount (cash price + interest charge) by the number of monthly installments:
Monthly installment price for Daewoo = (Cash price of Daewoo + Interest charge for Daewoo) / Number of monthly installments = (RM1,899 + RM63.96) / 18 ≈ RM107.22
Monthly installment price for Daikin = (Cash price of Daikin + Interest charge for Daikin) / Number of monthly installments = (RM1,699 + RM55.96) / 18 ≈ RM98.89
Monthly installment price for Mitsubishi = (Cash price of Mitsubishi + Interest charge for Mitsubishi) / Number of monthly installments = (RM1,999 + RM67.96) / 18 ≈ RM116.72
Therefore, if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).
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find two whole numbers that are closest to v42. explain your reasoning
Answer:
The numbers are 6 and 7.
Step-by-step explanation:
4² = 16
5² = 25
6² = 36
7² = 49
√36 = 6
√42 = ?
√49 = 7
The numbers are 6 and 7.
What is the meaning of "\( \varphi (x,y)\) be \( y\wedge \phi (x)\) "?
The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.
The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:
Define the formula p(x, y) as x = yo(x).
This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.
Define the set F as {(x, x) (x)}.
This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.
Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.
This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.
The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.
Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.
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I really need help thanks
Joe scored 88% on a test. He answered 22 questions correctly. How many questions were on the test
If Joe got an 88% on a test, answering 22 questions correctly, then there were 25 questions on the test. Divide 22 by 88 and multiply by 100 to find this answer. Please vote my answer as brainliest. I hope this helps
The number 2/5 is both an blank and an blank
The number 2/5 is both a ratio and a fraction.
How to describe the numberThe number 2/5 is both a ratio and a fraction. Fractions are meant to signify the numerator and denominator in an expression. in the above expression, we have the denominator as 5 and the numerator as 2.
The expression is also a ratio because it indicates the quantitative relationship between the figures.
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What is the percent of 1 - 3√(5/35) ?
Answer:
1 - 3√(5/35) = 1 - 3√(1/7) = 1 - 3*(1/sqrt(7)) ≈ 0.0755
0.0755 * 100 = 7.55%
Step-by-step explanation:
To find the percentage of 1 - 3√(5/35), we need to first evaluate the expression.
1 - 3√(5/35) = 1 - 3√(1/7) = 1 - 3*(1/sqrt(7)) ≈ 0.0755
To convert this decimal to a percentage, we simply multiply by 100:
0.0755 * 100 = 7.55%
if y= x+3/6-x, what is the value of y when x =7i?
Answer:
Option (2)
Step-by-step explanation:
Given : y = \(\frac{x+3}{6-x}\)
If x = 7i
y = \(\frac{7i+3}{6-7i}\)
By simplifying denominator of the given rational expression,
y = \(\frac{7i+3}{6-7i}\times \frac{6+7i}{6+7i}\)
y = \(\frac{(7i+3)(6+7i)}{6^2-(7i)^2}\)
y = \(\frac{7i(6+7i)+3(6+7i)}{36-49i^2}\)
y = \(\frac{42i+49i^2+18+21i}{36+49}\) [Since, i² = (-1)]
y = \(\frac{63i-49+18}{85}\)
y = \(\frac{63i-31}{85}\)
y = \(-\frac{31}{85}+\frac{63}{85}i\)
Therefore, Option (2) is the correct option.
need some help thanks ;)
Answer:
137
Step-by-step explanation:
sum of angle in a circle = 360°
105 + 118 + x = 360
223 + x = 360
x = 360 - 223
x = 137
3. Find the sector area of the circle. Use 3.14 for the value of Round your answer to the nearest tenth.
11 ft
150°
Answer:
a = 158.3 units²
Step-by-step explanation:
a = (∅/360) * πr²
using 11 ft as the radius
a = (150/360) * 3.14 * 11²
a = 158.3 units²
Please help me, there is a screenshot of the question below
Answer:
3?
Step-by-step explanation:
Find the tangent of the smaller acute angle in a right triangle with side lengths 5, 12, and 13.
Write your answer as a fraction.
The tangent of the smaller acute angle is ____?_______
The tangent of the smaller acute angle in a right triangle is tanФ = 0.42.
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
Given, A right triangle with side lengths 5, 12, and 13.
tanФ = 5/12.
tanФ = 0.42.
Ф = tan⁻¹(0.42).
Ф = 22.8°.
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What is the probability that a resident is male and in the age group 60-79
Answer:
c. 0.29
Step-by-step explanation:
edge
Need help ASAP
Will Mark, you brainlist
Answer:
(4,-1)
Step-by-step explanation:
Yell at me if im wrong.
Answer:
¼
Step-by-step explanation:
Compare the coordinates of two points to find the rate of change.
Using (0,-5) and (4,-6):
Δy/Δx = ((-6)-(-5))/(4-0) = (-1)/4 = -¼
Muscle weight. The weight M of the muscles in a
human is directly proportional to the person’s body
weight W.
a) It is known that a person who weighs 200 lb has 80 lb
of muscles. Find an equation of variation expressing
M as a function of W.
b) Express the variation constant as a percent, and
interpret the resulting equation.
c) What is the muscle weight of a person who weighs
120 lb?
Answer
JCJames C.Calculus 1 / AB1 month, 3 weeks agoThe weight M of a person's muscles is proportional to the person's body weight W. a) It is known that a person weighing 200 lb has 50 lb of muscles. Find an equation expressing M as a function of W. b) Express the slope as a percentage, and interpret the resulting equation. c) What is the muscle weight of a person weighing 220 lb? a) The equation expressing M as a function of W is M=nothing. (Use integers or decimals for any numbers in the expression.) b) Select the correct choice below and fill in the answer box to complete your choice. A.Body weight is nothing% of muscle weight. (Simplify your answer.) B.Muscle weight is nothing% of body weight. (Simplify your answer.) c) The muscle weight of a person weighing 220 lb is nothing lb. (Simplify your answer.)
Find the Value of X.
The measure of the unknown sides is equivalent to 12.6
Circle geometry problemThe given figure is a circle geometry with the perpendicular lines intersecting both segments of the circle.
We need to determine the measure of x. Since the measure of the perpendicular lines are equal, hence the measure of the line of the segments will also be equal.
Hence:
x = 6.3 + 6.3
x = 12.6
Therefore the measure of x from the given diagram is equivalent to 12.6
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3^3
or 3 x 3 x 3.
4^7
( 7 x 7 x 7 x 7)
and
5^6
Answer:
3^3= 27
4^7= 16384
5^6=3125
£5-2 x 0.81=
Answer for school and explanation please. would be great help
Answer:
3.38
Step-by-step explanation:
first do the multiplication
2×0.81
= 1.62
then the subtraction
5- 1.62= 3.38
VWXY is a parallelogram. Find the measure of XY and WY
Answer:
WY = 30
XZ = 10.5
Step-by-step explanation:
Paralellogram's diagonal's bisect eachother
Therefore,
\(n + 7 = 3 n\)
Move the n over,
2n = 7
Divide both sides by 2,
n = 3.5
WY = 2(ZY) because definition of bisector
Simplify...
WY = 2(4n+1)
WY = 2(4(3.5)+1)
WY = 2(15)
WY = 30
You asked for XY, but the question asks for XZ, so I'm going to give XZ.
With n = 3.5 from above,
XZ = 3n
XZ = 3(3.5)
XZ = 10.5
The measure of XY and WY are; WY = 30 and XZ = 10.5
What is a parallelogram?That quadrilateral in which opposite sides are parallel is called a parallelogram.
Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.
Since Paralellogram's diagonal's bisect each other
Therefore,
2n = 7
Divide both sides by 2;
n = 3.5
WY = 2(ZY)
because definition of bisector
Simplify;
WY = 2(4n+1)
WY = 2(4(3.5)+1)
WY = 2(15)
WY = 30
we asked for XY,
With n = 3.5 from above,
XZ = 3n
XZ = 3(3.5)
XZ = 10.5
The measure of XY and WY are; WY = 30 and XZ = 10.5
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Matthew invested $8,000 in an account paying an interest rate of 3 1/8% compounded
continuously. Parker invested $8,000 in an account paying an interest rate of 2 3/4%
compounded annually. To the nearest dollar, how much money would Parker have in
his account when Matthew's money has tripled in value?
Parker would have approximately $13,774 in his account when Matthew's money has tripled in value.
We have,
For Matthew's investment, the continuous compounding formula can be used:
\(A = P \times e^{rt}\)
Where:
A = Final amount
P = Principal amount (initial investment)
e = Euler's number (approximately 2.71828)
r = Annual interest rate (in decimal form)
t = Time (in years)
In this case,
Matthew's money has tripled,
So A = 3P.
For Parker's investment, the formula for compound interest compounded annually is used:
\(A = P \times (1 + r)^t\)
Where:
A = Final amount
P = Principal amount (initial investment)
r = Annual interest rate (in decimal form)
t = Time (in years)
We need to find t when Matthew's money has tripled in value.
Let's set up the equation:
\(3P = P \times e^{rt}\)
Dividing both sides by P, we get:
\(3 = e^{rt}\)
Taking the natural logarithm of both sides:
ln(3) = rt
Now we can solve for t
t = ln(3) / r
For Matthew's investment,
r = 3 1/8% = 3.125% = 0.03125 (as a decimal).
For Parker's investment,
r = 2 3/4% = 2.75% = 0.0275 (as a decimal).
Now we can calculate t for Matthew's investment:
t = ln(3) / 0.03125
Using a calculator, we find t ≈ 22.313 years.
Now, we can calculate how much money Parker would have in his account at that time:
\(A = P \times (1 + r)^t\)
\(A = $8,000 \times (1 + 0.0275)^{22.313}\)
Using a calculator, we find A ≈ $13,774.
Therefore,
Parker would have approximately $13,774 in his account when Matthew's money has tripled in value.
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Answer:
20,763
Step-by-step explanation:
I saw the answer after I got it wrong
what's the answer for this equation
x^3 - 3x^2 + 3x - 1 > 3/2x(x - 1)
hello
the answer to the question is:
x³ - 3x² + 3x - 1 > (3/2)x(x - 1)² ---->
(x - 1)³ > (3/2)x(x - 1)² ----> x - 1 > (3/2)x ---->
(1/2)x < - 1 ----> x < 2
Ms. Brown buys 4 Lego sets for $22. What is the cost o each Lego set? Money has two numbers behind the decimal
Answer:
$5.5
Step-by-step explanation:
you have divide 22 by 4 after that you get 5.5
find the size of angle x 164
Note that the size of angle x = 115°. This is a problem relating to the sum of angles in a circle. See the computation below.
What is the sum of angles in a circle?The sum of angles in a circle is always equal to 360 degrees or 2π radians.
This means that the sum of the measures of the angles formed by any number of rays or line segments that meet at a common point, or vertex, and whose endpoints lie on the circle, will always add up to 360 degrees or 2π radians. This property is often used in geometry and trigonometry to solve problems involving circles and angles.
With regard to the above problem,
We are given three angles in a circle named as follows:
a) 81°
b) 164°
c) x
The above rule state that
81 + 164 + x = 360°
thus, x = 360 - 81 - 164
x = 360 -245
x = 115°
Thus the value of ∠x is 115°
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Full Question:
See attached image.
Question
From a point P on a level ground and directly west of a pole, the angle of elevation of the top of the pole is 45° and from point Q east of the pole, the angle of elevation of the top of the pole is 58°. If |PQ|= 10m, calculate, correct to 2 significant figures, the:
a) distance from P to the pole;
b) height of the pole.
a) The distance from point P to the pole is: 6.2 m
b) The height of the Pole is: 6.2 m
How to find the distance and height from angle of elevation?The triangle attached shows us the triangle formed as a result of the given word problem about angle of elevation and distance and height.
Now, we are given that:
The angle of elevation of the top of the pole = 45°
Angle of elevation of the top of the pole = 58°.
|PQ|= 10m
a) PR is distance from point P to the pole and using trigonometric ratios, gives us:
PR/sin 58 = 10/sin(180 - 58 - 45)
PR/sin 58 = 10/sin 77
PR = (10 * sin 58)/sin 77
PR = 8.7 m
b) P O can be calculated with trigonometric ratios as:
P O = PR * cos 45
P O = 8.7 * 0.7071
P O = 6.2 m
Now, the two sides of the isosceles triangle formed are equal and as such:
R O = P O
Thus, height of pole R O = 6.2 m
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