Answer:
1/5 = 20%
20.000.000 x 20% =4.000.000 / year
from 2008 to 2010 is : 2 years
So the population in 2010 is : 20.000.000 + ( 4.000.000 x 2 ) = 28.000.000 population
Step-by-step explanation:
what is $0.4\overline 8 0.\overline{37}$? express your answer as a common fraction in lowest terms.
The answer of the given expression as a common fraction in lowest terms is 437/495 .
In the question ,
it is given that ,
the expression is 0.4overline 8 + overline 0.37 ,
that can be written as \(0.4\overline{8}\) + \(0.\overline{37}\)
On further simplifying the above expression further ,
we get ,
= (48 - 4)/90 + 37/99
= 44/90 + 37/99
taking the LCM of 90 and 99 as 990 and solving further ,
we get ,
= 484/990 + 390/990
= ( 484 + 390 )/990
= 874/990
in lowest form it is = 437/495 .
Therefore , the answer to the expression is 437/495 .
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which expressions are equivalent to 3(4h 2k)3(4h 2k)3, (, 4, h, plus, 2, k, )? choose all answers that apply: choose all answers that apply: (choice a) 3(2k 4h)3(2k 4h)3, (, 2, k, plus, 4, h, )a 3(2k 4h)3(2k 4h)3, (, 2, k, plus, 4, h, )(choice b) 3(4k 2h)3(4k 2h)3, (, 4, k, plus, 2, h, )b 3(4k 2h)3(4k 2h)3, (, 4, k, plus, 2, h, )(choice c) none of the above c none of the above
both option (a) and option (b) represent equivalent expressions to 3(4h + 2k), while option (c) indicates that none of the given expressions are equivalent to 3(4h + 2k).
The expressions that are equivalent to 3(4h + 2k) are:
a) 3(2k + 4h)
b) 3(4k + 2h)
Both options (a) and (b) are correct.
In option (a), the terms inside the parentheses are rearranged, but the coefficients of h and k remain the same.
Similarly, in option (b), the terms inside the parentheses are rearranged, but the coefficients of h and k remain the same.
Therefore, both option (a) and option (b) represent equivalent expressions to 3(4h + 2k), while option (c) indicates that none of the given expressions are equivalent to 3(4h + 2k).
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Find the value of x. Show your work, please!
The value of x is 10.
Given triangle is a right-angled triangle.
Let the lengths of not mentioned lengths be 2p(hypotenuse) and 2q (other side).
There are two triangles in the given picture.
Consider the smaller triangle.
Apply Pythagoras theorem to that i.e.,
\(p^{2}\) = \((3x)^{2} + q^{2}\)
(Here, total hypotenuse is 2p length and the smaller triangle has half of its length. So, length is p. Similarly in case of q)
\(p^{2} = 9x^{2} + q^{2}\) (Equation 1)
Now, consider the large triangle.
Apply Pythagoras theorem to that i.e.,
\((2p)^{2} = (4x + 20)^{2} + (2q)^{2}\)
\(4p^{2} = (16x^{2} + 160x + 400) + 4q^{2}\)
Substitute \(p^{2}\) from Equation 1
\(4(9x^{2} + q^{2} ) = 16x^{2} + 160x + 400 + 4q^{2}\\\)
\(36x^{2} + 4q^{2} = 16x^{2} + 160x + 400 + 4q^{2}\)
\(36x^{2} = 16x^{2} + 160x + 400\) (\(4q^{2}\) from both sides got cancelled)
\(20x^{2} - 160x - 400 = 0\)
Solving the quadratic equation,
\(20x^{2} - 200x + 40x - 400 = 0\)
\(20x(x - 10) + 40(x - 10) = 0\)
\((20x+ 40)(x - 10) = 0\)
So, 20x + 40 = 0 or x - 10 = 0
i.e., x = -2 or 1o
But \(x \neq -2\) because angles cannot be negative.
So, x is 10.
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What is the circumference of a circle with a radius of 14 feet? Use 22 over 7 for π.
Answer:
88 feet
Step-by-step explanation:
Use this formula
Circumference= 2*22/7*Radius
22/7 * 14=
2*44 =
88 feet
factorise 3xsquared+5x+2
Collin spent $34 on a new video game. How much money does he need to earn in order to have a net change of $0?
Find the distance from P to l.Line I contains points (0, -3) and (7,4). Point P has coordinates (4,3)
Find the distance from P to l.
Line I contains points (0, -3) and (7,4). Point P has coordinates (4,3)
step 1Find the slope of line l
we have the points (0, -3) and (7,4)
m=(4+3)/(7-0)
m=7/7
m=1
step 2Find the equation of the line perpendicular to the line l that passes through the point P
REmember that
If two lines are perpendicular, then the product of their slopes is equal to -1
therefore
the slope of the perpendicular line is
m=-1
Find the equation in point slope form
y-y1=m(x-x1)
we have
m=-1
(x1,y1)=P(4,3)
substitute
y-3=-1(x-4)
y-3=-x+4
y=-x+7
step 3Find the equation of the line l
we have
m=1 (see the step 1)
and we have the point (0,-3) -----> y-intercept
so
the equation of the line l is
y=x-3
step 4Find the intersection point line l and its perpendicular line
y=x-3 ------> equation A
y=-x+7 -----> equation B
solve the system of equations
Adds equation A and equation B
2y=-3+7
2y=4
y=2
Find the value of x
substitute in equation A
2=x-3
x=2+3
x=5
therefore
the intersection poin is (5,2)
step 5Find the distance between point (5,2) and point P(4,3)
Remember that, this distance is the distance from P to l.
the formula to calculate the distance between two points is equal to
\(d=\sqrt[]{(y2-y1)^2+(x2-x1)^2}\)we have
(x1,y1)=(5,2)
(x2,y2)=(4,3)
substitute in the formula
\(\begin{gathered} d=\sqrt[]{(3-2)^2+(4-5)^2} \\ d=\sqrt[]{1+1} \\ d=\sqrt[]{2\text{ }} \end{gathered}\)therefore
teh answer is
the distance from P to l. is equal to square root of 2Solve 17 and 23, will give BRAINLIST!!!
Answer:
17 = x/18 and 23 = .84/n
Step-by-step explanation:
Answer:
17. x =18
23. n =0.84
Step-by-step explanation:
17.
\(\frac{6}{5} = \frac{x}{15} \\\\\frac{x}{15}=\frac{6}{5}\\\\\mathrm{Multiply\:both\:sides\:by\:}15\\\\\frac{15x}{15}=\frac{6\cdot \:15}{5}\\\mathrm{Simplify\:}\frac{15x}{15}:\quad x\\\\\mathrm{Simplify\:}\frac{6\cdot \:15}{5}:\quad 18\\\\x=18\\\)
23.
\(\frac{2}{0.21}=\frac{8}{n}\\\\ \mathrm{Apply\:fraction\:cross\:multiply:\:if\:}\\\frac{a}{b}=\frac{c}{d}\mathrm{\:then\:}a\times \:d=b\times \:c\\\\2n=0.21\times \:8\\\\\mathrm{Simplify\:}0.21\times \:8:\quad 1.68\\\\2n=1.68\\\\\mathrm{Divide\:both\:sides\:by\:}2\\\\\frac{2n}{2}=\frac{1.68}{2}\\\\Simplify\\\\n=0.84\)
please answer all of them, no need to show your work. thanks
13. Two forces, with magnitudes 100 N and 150 N, act on an object at 90° to one another. Determine the magnitude of the resultant force acting on the object. a. 250 N c. 105.22 N b. 180.28 N d. 125 N
To determine the magnitude of the resultant force acting on the object, we can use the Pythagorean theorem.
Let's denote the magnitude of the first force as F₁ = 100 N and the magnitude of the second force as F₂ = 150 N. Since the forces act at 90° to each other, they form a right triangle.
According to the Pythagorean theorem, the magnitude of the resultant force (F) is given by:
\(F = \sqrt{F_1^2 + F_2^2}\)
Substituting the given values:
\(F = \sqrt{100^2 + 150^2} \\\\= \sqrt{10000 + 22500} \\\\= \sqrt{32500} \\\\\approx 180.28 \, \text{N}\)
Therefore, the magnitude of the resultant force acting on the object is approximately 180.28 N, which corresponds to option b.
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Taylor bought a watch onsale for 60% off the originalprice, and another 10% off thediscounted price. If the watchoriginally cost $82, what wasthe final sale price?
Original Cost - $82
First part: Apply the 60% off discount
Convert first the 60% into decimal form
60% ÷ 100% = 0.6
Multiply it to the original cost to determine the discount
$82 ˣ 0.6 = $49.2
Subtract the discount to the original price, to determine the discounted price.
$82 - $49.2 = $32.8
Second part:
The discounted price is now $32.8 for which we will apply another 10% discount.
Again, convert 10% into decimal
10% ÷ 100% = 0.1
Multiply it to the discounted price, to determine the second discount.
$32.8 ˣ 0.1 = $3.28
Subtract the discount to the already discounted price.
$32.8 - $3.28 = $29.52
Therefore, the final sale price of the watch is at $29.52.
pls help is it A. B. C. D.
Answer:
C
Step-by-step explanation:
Hope I was able to help!! :)
If f(x)=sinx 2x 1 and g is the inverse function of f
The value of the derivative of the function g(x) at x = 1 will be 1/3. Then the correct option is A.
What is an inverse function?A function that may convert into another function is known as an inverse function or anti-function.
If the function is f(x) = sinx + 2x + 1.
Then the derivative of an inverse function g(x) of a function f(x) at a given value (a) will be
\(\rm g'(a) = \dfrac{1}{f'(g(a))}\)
The derivative of f(x) will be
f'(x) = cos x + 2
Then the given value of a will be
a = 1
g(x) = f⁻¹(x)
put x = 0, then we have
f(0) = sin 0 + 2(0) + 1
f(0) = 1
Put x = 1, in the function f⁻¹(x). Then we have
f⁻¹(1) = 0
and
g(1) = 0
Then put a = 1, then we have
\(\rm g'(a) = \dfrac{1}{f'(g(a))}\\\\g'(1) = \dfrac{1}{f'(g(1))}\\\\g'(1) = \dfrac{1}{f'(0)}\\\\g'(1) = \dfrac{1}{\cos 0 + 2}\\\\g'(1) = \dfrac{1}{1+2}= \dfrac{1}{3}\)
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Some campers go out to collect
water from a stream. They share the water equally
among 8 campsites. How much water does each
campsite get? Bucket: 62.4 L
Each campsite will receive 7.8 liters of water.
If the campers collect water from a stream and share it equally among 8 campsites, we need to determine how much water each campsite receives.
The total amount of water collected is given as 62.4 liters in a bucket. To find the amount of water per campsite, we divide the total amount of water by the number of campsites.
Dividing 62.4 liters by 8 campsites gives us 7.8 liters per campsite.
It's important to note that this calculation assumes an equal distribution of water among all the campsites. However, in practical situations, the division may not be exact due to factors such as spillage, uneven pouring, or variations in the bucket's actual capacity.
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describe the graph of the solution
First, we want to note two things:
We have a solid circle at -10, so -10 IS part of the solution.We have shading to the right of -10, meaning we also need to include numbers to the right of -10, or numbers greater than -10.
We can describe this with an inequality: x ≥ -10
Be sure you use ≥ and not >, since -10 is included.
We can describe this with interval notation: [ -10, infty )
Be sure you use [ and not ( on -10, since -10 is included.
You can also use set-builder notation: { x | x ≥ -10 }
A web designer charges customers an initial consultation fee plus an hourly rate. The table shows the linear relationship between x, the number of hours and y, the total cost of hiring the designer. a. Find the rate of change b. What does the rate of change represent in the context of the situation?
The rate of change means that the designer hourly charge is $55 per hour
Linear equation
A linear equation is in the form:
y = mx + b
Where y, x are variables, m is the rate of change and b is the initial value of y.
Let y represent the total cost of hiring the designer after x hours.
From the table, using the point (0, 125) and (15, 950):
m = y₂-y₁/x₂-x₁= 950- 125/15-0 = 55The rate of change means that the designer hourly charge is $55 per hour
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A 90% confidence interval for the mean of a population is computed to be 135 to 160. Which one of the following claims would the interval tend to refute?A. The population mean is more than 110.B. The population mean is less than 150.C. The population mean is between 140 and 150.D. The population mean is more than 140.E. The population mean is less than than 125.
Therefore, the only claim that the interval would tend to refute is option E: The population mean is less than 125.
Based on the 90% confidence interval of 135 to 160, we can conclude that the population mean is likely to be within this interval with a 90% degree of confidence.
A. The claim that the population mean is more than 110 is not refuted by the confidence interval since the lower limit of the interval is above 110.
B. The claim that the population mean is less than 150 is not refuted by the confidence interval since the upper limit of the interval is above 150.
C. The claim that the population mean is between 140 and 150 is not refuted by the confidence interval since both values are within the interval.
D. The claim that the population mean is more than 140 is not refuted by the confidence interval since the lower limit of the interval is above 140.
E. The claim that the population mean is less than 125 is refuted by the confidence interval since the lower limit of the interval is above 125.
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(›)
Which is more, 1 tablespoon or 2 teaspoons?
Answer: 1 tablespoon
Step-by-step explanation:
In regression analysis, the error term ε is a random variable with a mean or expected value of.
In regression analysis , the error term ε is a random variable with expected value of 0.
What is regression analysis?
A set of statistical procedures known as regression analysis is used to estimate the relationships between a dependent variable and one or more independent variables.
Main Body:
In regression analysis, the model in the form is called regression model.
The mathematical equation relating the independent variable to the expected value of the dependent variable; that is, E(y) = β0 + β1x, is known as regression equation.
So the answer to error term is 0.
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Based on the number line, which symbol should replace the box to make the inequality true?
Answer
C
Step-by-step explanation:
2(-4) + 3
-8 + 3
-5
The National Council of Teachers of Mathematics states that all five math standards are important in the early childhood years. However, they state that an emphasis needs to be placed on which of the following standards?
The emphasis is on the Counting and Cardinality standard in the early childhood years according to the National Council of Teachers of Mathematics.
The National Council of Teachers of Mathematics emphasizes the following standards in the early childhood years:
- Counting and Cardinality
- Operations and Algebraic Thinking
- Number and Operations in Base Ten
- Measurement and Data
- Geometry
The National Council of Teachers of Mathematics recognizes that all five math standards are important in the early childhood years. However, they place a particular emphasis on the standards related to counting and cardinality. This includes developing skills in counting, understanding numbers, and recognizing numerical relationships.
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Isaac invested $1,800 in an account paying an interest rate of 4. 7% compounded
continuously. Assuming no deposits or withdrawals are made, how much money, to
the nearest hundred dollars, would be in the account after 15 years?
If no deposits and withdrawals are made then the amount that will be in the account after 15 years is $3642.84 .
In the question ,
it is given that ,
the amount invested is $1800 ,
the rate of interest = 4.7% = 0.047
time required is = 15 years
the continuous compounding formula is
y = P×\(e^{r \times t}\)
y = 1800*(\(e^{0.047 \times 15}\))
y = 1800*\(e^{0.705}\)
Simplifying further , we get
y = 1800*2.0238
y = 3642.84
Therefore , If no deposits and withdrawals are made then the amount that will be in the account after 15 years is $3642.84 .
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what is the answer to 7864 ÷ 51
Two friends, Selma and Khalid are revising algebra. Khalid says: 'I am thinking of a number. If you multiply it by 3 and subtract 6, you get the same answer as adding the number to 7'. Call Khalid's number y and form an equation
Answer:
Equation: 3y - 6 = y + 7
y = 6.5
Step-by-step explanation:
Step 1: Write out equation
3y - 6 = y + 7
Step 2: Solve for y
2y - 6 = 7
2y = 13
y = 13/2 or 6.5
Sara has a rectangular garden in her backyard that measures 12 m by 15 m. She wants to put a rock walkway on the diagonal. How long will the walkway be? Round to the nearest tenth of a meter
Answer:
19.2 m
Step-by-step explanation:
Since this is a right triangle, we can use the pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
12^2 + 15^2 = c^2
144 + 225 = c^2
369 = c^2
Taking the square root of each side
sqrt(369) =sqrt(c^2)
19.20937271=c
To the nearest tenth
19.2 = c
Answer:
Diagonal of rectangle walk = 19.2 meter (Approx.)
Step-by-step explanation:
Given:
Length of rectangle = 12 meter
Width of rectangle = 15 meter
Find:
Diagonal of rectangle walk
Computation:
Diagonal of rectangle = √l² + b²
Diagonal of rectangle walk = √Length of rectangle² + Width of rectangle²
Diagonal of rectangle walk = √12² + 15²
Diagonal of rectangle walk = √144 + 225
Diagonal of rectangle walk = √369
Diagonal of rectangle walk = 19.2093
Diagonal of rectangle walk = 19.2 meter (Approx.)
Consider the following numerical example of the IS-LM model: C=233+0.47Y D I=143+0.22Y−1,094i G=299 T=239 i=0.06 Derive the IS relation. (Hint: You want an equation with Yon the left side of the equation and everything eise on the right.) Y= ( (Round your calculations of the intercept and slope terms to two decimal places.)
The IS relation is given by: Y = (intercept value rounded to two decimal places) + (slope value rounded to two decimal places) in the numerical example of the IS-LM model.
To derive the IS relation, we need to equate aggregate demand (AD) to aggregate supply (AS). Aggregate demand consists of consumption (C), investment (I), government spending (G), and net exports (NX). In this case, we assume net exports to be zero.
Given:
C = 233 + 0.47YD
I = 143 + 0.22Y - 1,094i
G = 299
T = 239
Aggregate demand (AD) = C + I + G
Substituting the given equations into AD:
AD = (233 + 0.47YD) + (143 + 0.22Y - 1,094i) + 299
Simplifying:
AD = 233 + 143 + 299 + 0.47YD + 0.22Y - 1,094i
Combining like terms:
AD = 675 + 0.47YD + 0.22Y - 1,094i
Since we want an equation with Y on the left side, we need to express YD in terms of Y by substituting YD = Y - T.
AD = 675 + 0.47(Y - T) + 0.22Y - 1,094i
AD = 675 + 0.47Y - 0.47T + 0.22Y - 1,094i
Combining like terms again:
AD = (0.47Y + 0.22Y) + (675 - 0.47T - 1,094i)
AD = 0.69Y - 0.47T - 1,094i + 675
Comparing with the IS relation Y = a + bAD, we have:
Y = 0.69Y - 0.47T - 1,094i + 675
Rearranging terms to have Y on the left side:
Y - 0.69Y = -0.47T - 1,094i + 675
0.31Y = -0.47T - 1,094i + 675
Dividing both sides by 0.31:
Y = (-0.47T - 1,094i + 675) / 0.31
Now, we can calculate the intercept and slope terms:
Intercept term = (-0.47T - 1,094i + 675) / 0.31
Slope term = 1 / 0.31
Rounding these values to two decimal places, the IS relation is:
Y = Intercept term + Slope term = (intercept value rounded to two decimal places) + (slope value rounded to two decimal places).
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PLEASE HELP ! (no fake answers please !)
Answer:
24.2 units²
Step-by-step explanation:
Given
A = \(\frac{1}{2}\) a( b + c)
Substitute the given values for a, b and c , that is
A = \(\frac{1}{2}\) × 4.4 × (8 + 3)
= 2.2 × 11
= 24.2
Find the area of hexagon DEFGHI.
Step-by-step explanation:
Break it up into two trapezoids as shown
area = trap1 + trap2
= 2 * (7+3) / 2 + 3 * ( 7 + 3) / 2 = 10 + 15 = 25 units^2
2x+2=4+1x
and we are solving for X
Answer:
the answer is x = 2
Step-by-step explanation:
2x+2=4+1x
(2x-1x)+2= 4 +(1x-1x)
1x+2=4
1x(2-2)=(4-2
1x=2
2/1=x
x=2
Answer: X=2
I might be wrong
Which fraction is equivalent to 2/34 ? A 11/2 B 11/3 C 11/4 D 11/12
Answer:
C. 11/4
Step-by-step explanation:
We can make 2 into fourths: in one whole there are 4 fourths so in two wholes there are 8 fourths.
Then add the 3/4 to the 8/4 and we get 11/4.
C. 11/4
If shamans has 3&1/3 cups of flour to make cupcakes. If she needs 1/13 cup of flour to make one cupcake how many full cupcakes can she make
Answer:
43.3 cupcakes
Step-by-step explanation:
If shamans has 3&1/3 cups of flour to make cupcakes. If she needs 1/13 cup of flour to make one cupcake how many full cupcakes can she make
From the above question
1/ 13 cup = 1 cup cake
3 1/3 cups = x
Cross Multiply
1 /13 × X = 3 1/3 × 1
x = 10/3 ÷ 1 /13
x = 10/3 × 13/1
x = 130/3
x = 43.333333333 cupcakes