Answer:
1.67years
Step-by-step explanation:
in one it increases by 1.1% of 7.1 billion
=7.81 million
dat is it increases 7.7181 billion in 1 year
it reaches 12 billion in x years
therefore x years = 12 billion/ 7.7181 billion
= 1.67 years
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Tasha wants to find out if she is going to pass her test. She decides that she will
simulate her test by flipping a coin. This means
a) There is a 50-50 chance she will pass her test.
b) All of the questions are multiple choice.
c) She hasn't studied.
d) There is a 20% chance she will pass.
Answer:
A
Step-by-step explanation:
Since a coin only has two sides, the test must be referring to the fact that she has a 50, 50 shot at passing.
Which is the best description of the equivalency of the two expressions? Expression 1 Expression 2 5 x squared minus 2 x minus 4 + 6 x + 3 6 x squared minus 6 x + 6 minus x squared + 10 x minus 7 The two expressions are not equivalent because when x = 2, the two expressions do not have the same value. The two expressions are not equivalent because when they are simplified, they do not have the same coefficients for the x squared and x terms. They are equivalent because the sum of the constants is the same in both expressions. They are equivalent because when x = 2, the two expressions have the same value.
Answer:
The correct option is (D).
Step-by-step explanation:
The two expressions are:
[tex]\text{Exp}_{1}=5x^{2}-2x-4+6x+3\\\\\text{Exp}_{2}=6x^{2}-6x+6-x^{2}+10x-7[/tex]
On simplifying both the expressions we get:
[tex]\text{Exp}_{1}=5x^{2}+4x-1\\\\\text{Exp}_{2}=5x^{2}+4x-1[/tex]
Compute the value of both expressions for x = 2 as follows:
[tex]\text{Exp}_{1}=5(2)^{2}+4(2)-1=27\\\\\text{Exp}_{2}=5(2)^{2}+4(2)-1=27[/tex]
The value of both expressions are same for x = 2.
Thus, the correct option is:
"They are equivalent because when x = 2, the two expressions have the same value."
Answer:
d
Step-by-step explanation:
find answer is fast friends
Answer:
see explanation
Step-by-step explanation:
The restriction a ≠ 0 and b ≠ 0 is applied since division by zero would make
[tex]\frac{a}{b}[/tex] and its reciprocal [tex]\frac{b}{a}[/tex] undefined, thus meaningless
how many cups in 34 gallons
Answer:
544 cups
Step-by-step explanation:
1 gallon consists of about 16.0047 cups, 34x16 is 544
Please answer this in two minutes
Answer:
u = [tex]\sqrt{6}[/tex].
Step-by-step explanation:
This is a 45-45-90 triangle.
That means that there are two side lengths with lengths of x, and a hypotenuse with a length of xsqrt(2). We can then set up a proportion.
[tex]\frac{1}{\sqrt{3} } =\frac{\sqrt{2} }{u}[/tex]
1 * u = [tex]\sqrt{3} * \sqrt{2}[/tex]
u = [tex]\sqrt{6}[/tex].
Hope this helps!
Factorize: 14x^6-45x^3y^3-14y^6
Answer:
(7x^3+2y^3)(2x^3−7y^3)
The inequality x < 9 or x ≥ 14 can be used to represent the hourly wage, x, of each employee at a store. Which are possible values for x? Select two options. $8 $9 $11 $13 $14
Answer:
The inequality x < 9 or x ≥ 14 can be used to represent the hourly wage, x, of each employee at a store. Which are possible values for x? Select two options.
$8 . YES
$9 . HELL NO
$11 . DEFINITLY NOT
$13 . GET OUTTA HERE
$14 . MMM YES
Step-by-step explanation:
Answer:
A and E or 8, 14
Step-by-step explanation:
Given the coordinates for the function below, which of the following are
coordinates for its inverse?
Gallons Cost, in
of Gas Dollars
1
2
5
15
20
1.25
2.50
6.25
18.75
25.00
The coordinates of the inverse are (1.25, 1) (2.50, 2), (6.25, 5), (18,75, 15) and (25.00, 20)
How to determine the inverse coordinates?The table of values is given as:
Gallons Cost
1 1.25
2 2.50
5 6.25
15 18.75
20 25.00
The inverse of the above table would have the following header
Cost Gallons
When the inverse table is populated, we have:
Cost Gallons
1.25 1
2.50 2
6.25 5
18.75 15
25.00 20
The coordinates are: (1.25, 1) (2.50, 2), (6.25, 5), (18,75, 15) and (25.00, 20)
Hence, the coordinates of the inverse are (1.25, 1) (2.50, 2), (6.25, 5), (18,75, 15) and (25.00, 20)
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A number is 30% of 20% of the number x.
Answer:
6/100x
Step-by-step explanation:
Answer:6/100x
Step-by-step explanation:
find the value of b here
Answer:
Step-by-step explanation:
We will start with the angle that measures 57 degrees. This angle is supplementary to the one next to it coming off the straight line. 180 - 57 = 123.
The rule for quadrilaterals is that same side angles are supplementary, so the angle next to the 123-degree angle (to the immediate left of that angle 123) is 57. THAT 57-degree angle is supplementary to angle b, so angle b = 180 - 57 which is 123. So C is your answer.
Answer:
do you think you can send me the work for the program
Step-by-step explanation:
i got 1 day left and im not close to finishing it please help me out please respond with any way to contact you thanks
Select the statements that are true for the graph of y=−(x−0.5)^2 +9 . Choose all correct statements. The vertex is (−0.5,9) . The graph has a maximum. The graph has a minimum. The vertex is (0.5,9) .
Answer:
The second and fourth statements are correct.
Step-by-step explanation:
We are given the function for the graph of:
[tex]y=-(x-0.5)^2+9[/tex]
Note that this is a quadratic function in its vertex form, given by:
[tex]y=a(x-h)^2+k[/tex]
Where a is the leading coefficient and (h, k) is the vertex.
Rewriting our given equation yields:
[tex]\displaystyle y = (-1)(x-(0.5))^2 + (9)[/tex]
Therefore, a = -1, h = 0.5, and k = 9.
Therefore, the vertex of the graph is at (0.5 ,9).
Because the leading coefficient is negative, the parabola opens downwards.
Therefore, the parabola has a maximum value.
In conclusion, the second and fourth statements are correct.
1. the vertex is (0.5, 9)
2. it has a maximum.
Please helpppp!!!
Solve: x^2 - 4x-5=0
Answer:
[tex]x=-1,5[/tex]
Step-by-step explanation:
[tex]x^2-4x-5=0[/tex]
In order to solve this quadratic, we have many methods. We can factor, complete the square, or use the quadratic formula. I'm going to factor since it's the easiest method.
To factor, find two numbers that when multiplied equal a(c) and when added equal b.
a=1, b=-4, and c=-5.
So we want two numbers that when multiplied equals 1(-5)=-5 and when added equals -4.
-5 and 1 are the possible numbers. Therefore:
[tex]x^2-4x-5=0\\x^2+x-5x-5=0\\x(x+1)-5(x+1)=0\\(x-5)(x+1)=0\\x=5, -1[/tex]
Suppose you place $10,000 in a retirement fund that earns a nominal interest rate of 8 percent. If you expect inflation rate to be 5 percent or lower, then calculate the real interest rate you are expecting to earn.
Answer:
Real interest rate= 3%
Step-by-step explanation:
Giving the following information:
Suppose you place $10,000 in a retirement fund that earns a nominal interest rate of 8 percent. The inflation rate is 5 percent.
The effect of the inflation rate on the interest rate is counterproductive. The inflation rate diminishes purchasing power.
Real interest rate= nominal interest rate - inflation rate
Real interest rate= 0.08 - 0.05= 0.03
Assume that the random variable X is normally distributed, with mean p = 100 and standard deviation o = 15. Compute the
probability P(X > 112).
Answer:
P(X > 112) = 0.21186.
Step-by-step explanation:
We are given that the random variable X is normally distributed, with mean [tex]\mu[/tex] = 100 and standard deviation [tex]\sigma[/tex] = 15.
Let X = a random variable
The z-score probability distribution for the normal distribution is given by;
Z = [tex]\frac{X-\mu}{\sigma}[/tex] ~ N(0,1)
where, [tex]\mu[/tex] = population mean = 100
[tex]\sigma[/tex] = standard deviaton = 15
Now, the probability that the random variable X is greater than 112 is given by = P(X > 112)
P(X > 112) = P( [tex]\frac{X-\mu}{\sigma}[/tex] > [tex]\frac{112-100}{15}[/tex] ) = P(Z > 0.80) = 1- P(Z [tex]\leq[/tex] 0.80)
= 1 - 0.78814 = 0.21186
The above probability is calculated by looking at the value of x = 0.80 in the z table which has an area of 0.78814.
Solve for p. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions. -31p+79 > -59p+81
Answer:
The answer is
p > 1/14Step-by-step explanation:
-31p+79 > -59p+81
Group like terms
Send the constants to the right side of the expression and those with variables to the left side
That's
- 31p + 59p > 81 - 79
Simplify
We have
28p > 2
Divide both sides by 28
We have the final answer as
p > 1/14Hope this helps you
A circle has a radius of 21 inches. What is the length of the arc intercepted by a central angle that measures 4π/7 radians? Express the answer in terms of π .
Answer:
12π inches
Step-by-step explanation:
s = rθ
s = (21) (4π/7)
s = 12π
The length of the arc will be;
⇒ Arc = 37.68 inches
What is Circle?
The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Given that;
The central angle = 4π/7
And, A circle has a radius of 21 inches.
Now,
We know that in circle;
⇒ Arc = Radius × Angle
Substitute all the values, we get;
⇒ Arc = 21 × 4π/7
⇒ Arc = 3 × 4 × 3.14
⇒ Arc = 37.68 inches
Thus, The length of the arc will be;
⇒ Arc = 37.68 inches
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What is the circumference of a circle with a diameter of 100m. A 100m B 157m C 300 m D 314m
Answer:
C = 314 m
Step-by-step explanation:
The circumference of a circle is given by
C = pi * d
Using 3.14 for pi
C = 3.14 * 100
C = 314 m
Answer:
The answer is option D.
314mStep-by-step explanation:
Circumference of a circle = πd
Where d is the diameter
From the question
d = 100m
Circumference of the circle is
100π
= 314.2
Which is 314m to the nearest whole number
Hope this helps you
please help :) What is 7.7 x 10 to the 8 power written in standard form? A. 770,000,000 B. 77,000,000,000 C. 77,000,000 D. 7,700,000,000
Answer:
A. 770,000,000
Step-by-step explanation:
7.7x10^8 First step is to simplify
7.7x100,000,000 Then, multiply
770,000,000
Hope this helps, if it does, please consider giving me brainliest, it will help me a lot. If you still have any questions, feel free to ask.
Have a good day! :)
im not sure wether to replace the minus signs with addition, so if you could help me that would be nice :) 1.2y+4.5-3.4y-6.3
Answer:
-2.2y - 1.8
Step-by-step explanation:
We are to simplify the expression:
1.2y + 4.5 - 3.4y - 6.3
Collect like terms:
1.2y - 3.4y + 4.5 - 6.3
Simplify:
-2.2y - 1.8
That is the answer.
Which of the following is not a congruence theorem or postulate A. SSA B. SAS C. AAS D. SSS
Answer:ITS A
Step-by-step explanation:
SAS: side angle side
SSA: is not a congruence theorem
AAS:angle angle side
SSS:side side side
Answer:
The answer is A.
Step-by-step explanation:
Just took the test
Please answer this in two minutes
Answer:
[tex] x = 6.6 [/tex]
Step-by-step explanation:
Given ∆WXY,
<X = 15°
<Y = 23°
y = 10
x = ?
To find side x, use the Law of sines as shown below:
[tex] \frac{x}{sin X} = \frac{y}{sin Y} [/tex]
Plug in the values of y, Y, and X
[tex] \frac{x}{sin 15} = \frac{10}{sin 23} [/tex]
[tex] \frac{x}{0.2588} = \frac{10}{0.3907} [/tex]
Cross multiply
[tex] x*0.3907 = 10*0.2588 [/tex]
Divide both sides by 0.3907 to solve for x
[tex] \frac{x*0.3907}{0.3907} = \frac{10*0.2588}{0.3907} [/tex]
[tex] x = \frac{2.588}{0.3907} [/tex]
[tex] x = 6.624 [/tex]
[tex] x = 6.6 [/tex] (to nearest tenth)
The cost of importing five dozen china dinner sets, billed at $32 per set, and paying a duty of 40%, is
Answer:
duty = 64
Total cost is 224
Step-by-step explanation:
First find the cost of the 5 sets
5 * 32 = 160
Then find the duty
160 * 40%
160 * .4 = 64
Add this to the cost of the sets
160+64 =224
sin theta = x , sec theta =y . find cot theta pls answer fast i need to verify my answer . you can directly write the answer no issues
Answer:
[tex]\huge\boxed{\cot\theta=\dfrac{1}{xy}}[/tex]
Step-by-step explanation:
[tex]\bold{METHOD\ 1}[/tex]
[tex]\sin\theta=x\\\\\sec\theta=y\\\\\cot\theta=?\\\\\text{We know:}\\\\\sec x=\dfrac{1}{\cos x};\ \cot x=\dfrac{\cos x}{\sin x}\\\\\sec\theta=y\to\dfrac{1}{\cos \theta}=y\to\dfrac{\cos\theta}{1}=\dfrac{1}{y}\to\cos\theta=\dfrac{1}{y}\\\\\cot \theta=\dfrac{\frac{1}{y}}{x}=\dfrac{1}{xy}[/tex]
[tex]\bold{METHOD\ 2}[/tex]
[tex]\text{We know}\\\\\tan x=\dfrac{\sin x}{\cos x}\\\\\cot x=\dfrac{\cos x}{\sin x}=\dfrac{1}{\tan x}\\\\\sec x=\dfrac{1}{\cos x}\\\\\text{therefore}\\\\(sin x)(\sec x)=(\sin x)\left(\dfrac{1}{\cos x}\right)=\dfrac{\sin x}{\cos x}=\tan x\\\\\dfrac{1}{(\sin x)(\sec x)}=\dfrac{1}{\tan x}=\cot x[/tex]
[tex]\\\sin \theta=x;\ \sec\theta=y\\\\\text{substitute}\\\\\cot\theta=\dfrac{1}{xy}[/tex]
There are seven roads that lead to the top of a hill. How many different ways are there to reach the top and then go back down?
Answer:
two I have no idea of the question
Answer: 49 ways
Step-by-step explanation: 7 possible ways up, 7 ways down
Up and back on Rt 1, Up on Rt 1 down on Rt2 Up on Rt 1 down on Rt3. . . . . Up on Rt 7, down on Rt7
You can imagine what was left out of the explanation.
Just Multiply 7×7 = 49
Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two sides
of this triangle?
O 5cm and 8 cm
O 6 cm and 7 cm
O 7 cm and 2 cm
8 cm and 9 cm
Answer:
Choice D - 8cm and 9cm.
Step-by-step explanation:
The other sides are not greater than 13.
A: 5 + 8 = 13
B: 6 + 7 = 13
C: 7 + 2 = 9
However, D is greater than 13 and is the correct answer.
D: 8 + 8 = 16.
Option d: 8 cm and 9 cm.
There is a theorem in mathematics stating:
" The sum of length of two sides of any triangle is greater than the rest third side"
According to that theorem, first three given options cant form the sides of the given triangle whose one side is 13 cm.
The 4th option has 8 cm and 9 cm for which we have:
8 + 9 > 13
Thus this option follows the theorem.
Hence fourth option is correct.
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The graph of f(x) = x2 has been shifted into the form f(x) = (x − h)2 + k: a parabola with the vertex 4, 1 What is the value of k?
Answer:
k = 1
Step-by-step explanation:
The equation of a parabola in vertex form is
f(x) = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (4, 1 ), thus k = 1
What is the least number of colors you need to correct color in the sections of these pictures so that no two touching sections are the same color?
You would assume that in this figure, the number of colored sections with which are not colored with respect to a " touching " colored section, would be half of the total colored sections. However that is not the case, the sections are not alternating as they still meet at a common point. After all, it notes no two touching sections, not adjacent sections. Their is no equation to calculate this requirement with respect to the total number of sections.
Let's say that we take one triangle as the starting. This triangle will be the start of a chain of other triangles that have no two touching sections, specifically 7 triangles. If a square were to be this starting shape, there are 5 shapes that have no touching sections, 3 being a square, the other two triangles. This is presumably a lower value as a square occupies two times as much space, but it also depends on the positioning. Therefore, the least number of colored sections you can color in the sections meeting the given requirement, is 5 sections for this first figure.
Respectively the solution for this second figure is 5 sections as well.
What is the answer to 85% of 62
Answer:
52.7
Step-by-step explanation:
Of means multiply
85% * 62
.85 * 62
52.7
Turn the percentage into a decimal.
85% = 0.85
Multiply.
62 * 0.85 = 52.7
So, 52.7 is 85% of 62.
Best of Luck!
The net of a solid is shown below:
Net of a square pyramid showing 4 triangles and the square base. The square base has side lengths of 3 inches. The height of each triangle attached to the square is 6 inches. The base of the triangle is the side of the square.
What is the surface area of the solid?
18 square inches
27 square inches
36 square inches
45 square inches
Answer:
The answer is 45 inches².
Step-by-step explanation:
First, you have to find the area of each triangle:
[tex]area = \frac{1}{2} \times base \times height[/tex]
[tex]let \: base = 3 \\ let \: height = 6[/tex]
[tex]area = \frac{1}{2} \times 3 \times 6[/tex]
[tex]area = \frac{1}{2} \times 18[/tex]
[tex]area = 9 \: \: {inches}^{2} [/tex]
Assuming that the formula for surface area of pyramid is Surface area = base area(area of square) × 4(area of triangle):
[tex]base \: area = 3 \times 3 = 9[/tex]
[tex]area \: of \: triangle = 9[/tex]
[tex]s.a = 9 + 4(9)[/tex]
[tex]s.a = 9 + 36[/tex]
[tex]s.a = 45 \: \: {inches}^{2} [/tex]
what is a width of a rectangle prisim if the volume is 50046 cm 3 the hight is 7 cm and the llength is 13 cm
Answer:
2383.14286
Step-by-step explanation:
The volume of a prism is length times width times height. Since we already know the height and length of the prism, we can divide the volume of the prism by the height and length. This becomes: 50046/3 = 16682. Next we divide by 7: 16682/7 = 2383.14286. Hope this helps!