Answer:
The answer is $520,000,000
Step-by-step explanation:
To find twenty percent of the total $2.6 billion, all you need to do is multiply 2.6 billion * 20%
2.6, 000,000,000 * 20% (or 1/5) is 520,000,000
The scale that you choose to use on a graph can distort the data.
False
True
Answer:
true
Step-by-step explanation:
Given that points A, B, and C are the midpoints of their respective sides, which of the following is true about the figure? ANSWERS: A) ∠Y ≅ ∠Z B) ∠X ≅ ∠ACB C) || D) ||
Answer:
The correct option is;
[tex]\overline{YZ}\left | \right | \overline{AC}[/tex]
Step-by-step explanation:
The dimensions given are;
YX = 2 × AX (A = midpoint of YX)
ZX = 2 × CX (C = midpoint of ZX)
∠X and ∠X are congruent (Reflexive property)
Therefore, triangle XAC is similar to triangle XYZ (SAS similarity theorem)
Since ∠XYZ = ∠XAC segments YZ and AC are parallel from having equal angle on the same side of the transversal YX
Therefore the correct option should be;
[tex]\overline{YZ}\left | \right | \overline{AC}[/tex]
Answer:ΔBCZ ≅ ΔYAB
Step-by-step explanation: since we know the midpoint are <ABC we can see the that answer is correct.
Find the missing number in the pattern! PLEASE HELP The half-life of caffeine is 5 hours; this means that approximately 1/2 of the caffeine in the bloodstream is eliminated every 5 hours. Suppose you drink a 16-ounce drink that contains 80 mg of caffeine. Suppose the caffeine in your bloodstream peaks at 80 mg. 1. How much caffeine will remain in your bloodstream after 5 hours? 10 hours? 1 hour? 2 hours? Record your answers in the table
Answer:
After five hours, there will be 40 mg of caffeine remaining in the blood.
After 10 hours, 20 mg.
After only one hour, about 69.64 mg.
And after two hours, about 60.63 mg.
Step-by-step explanation:
We are given that one-half of the caffeine in the bloodstream is eliminated every five hours.
We are also given that the initial amount is 80 mg.
Using this information, we can write the following function:
[tex]\displaystyle f(x)=80\left(\frac{1}{2}\right)^{\dfrac{x}{5} }[/tex]
Where x is the number of hours that has passed.
Using this function, we can evaluate for f(5), f(10), f(1), and f(2).
They evaluate to:
[tex]f(5)=40[/tex] [tex]f(10)=20[/tex] [tex]f(1)\approx 69.6440[/tex] [tex]f(2) \approx 60.6287[/tex]
So, after five hours, there are 40 mg of caffeine remaining in the blood.
After 10 hours, 20 mg of caffeine.
After only one hour, about 69.64 mg.
And after two hours, about 60.63 mg.
HELP ME PLEASE REALLY IMPORTANT OR ILL GET IN TROUBLE!! WILL MARK AS BRAINLEST IF YOU GET IT CORRECT!!
Answer:
24m-28
Step-by-step explanation:
(6m-7)x4
24m-28
Answer:
24m-28
Step-by-step explanation:
4 * 6m = 24m
4*-7 = -28
Please help Summer homework C:
Answer:
x = 4
Step-by-step explanation:
multiply both sides by six to get rid of the fractions: -5 x = - 20
divide both sides by -5: x = 4
Can someone please help
Answer:
B. Rotation then Dilation
Step-by-step explanation:
Dilation is making the object larger or smaller.
Rotation is turning the object around a point.
Reflection is reflecting it over a line
Translation is moving the object.
ΔDEF is rotated 180° first.
After it has been rotated, it will be dilated into ΔD'E'F'.
Our correct answer is B. Rotation then Dilation.
Answer: Its B
Step-by-step explanation:
Help please anyone ??
Answer:
x=83
Step-by-step explanation:
97+x=180
x=83
Answer:
∠x = 83°
Step-by-step explanation:
Since ∠x and ∠y are supplementary ∠s so they add up to 180°
So,
∠x + ∠y = 180
Where ∠y = 97°
∠x + 97° = 180
∠x = 180-97
∠x = 83°
PLEASE HELP LOOK AT THE PHOTO I GAVE YOU
Answer:
A, B
Step-by-step explanation:
Point C is greater than 4 because it is at 6.
6 is greater than 4.
Point A is less than Point B, -8 is less than 4.
Hi, Please i need help with this question. Workings would be deeply appreciated .
A straight line which passes through the point (3,-4) makes intercept 3k and -5k on the x and y axes respectively. Find the value of k
Answer:
k = ⅕
Step-by-step explanation:
The slope-intercept equation for a straight line is
y = mx + b, where
m = the slope and
b = the y-intercept
Data:
(3,4) = a point on the line
(3k,0) = x-intercept
(0,-5k) = y-intercept
Calculations:
1. Slope
m = (y₂ - y₁)/(x₂ - x₁) = (-5k - 0)/(0 - 3k) = -5/(-3) = ⁵/₃
This makes the equation
y = ⁵/₃x - 5k
2. k
Insert the value of the known point: (3,4)
4 = (⁵/₃)(3) - 5k
4 = 5 - 5k
-1 = -5k
k = ⅕
The figure below shows your graph passing through (3,4) with intercepts 3k and -5k on the x- and y-axes respectively .
Mrs.thapa bought 150 kg of oranges.18 kg of oranges were rotten and not fit for selling.If she sold the remaining quantity of oranges at the rate of Rs 80 per kg and gained 10%. Find the rate of cost price of oranges.
Help!!
Answer:
Rs.64
Step-by-step explanation:
Amount of oranges:
150 kgOranges sold:
150 - 18 = 132 kgMoney made:
132* 80 = Rs. 10560Selling price of 150 kg:
10560/150 = Rs. 70.4Cost price:
x+10% = 70.4x*1.1= 70.4x= 70.4/1.1x= Rs.64Cost price of oranges= Rs. 64Answer:
Rs64.00/kg
Step-by-step explanation:
1. Calculate the amount of good oranges
Total amount of oranges = 150 kg
Amount of rotten oranges = 18 kg
Amount of good oranges = 132 kg
2. Calculate the income from the good oranges
[tex]\text{Income} = \text{132 kg} \times \dfrac{\text{Rs80}}{\text{1 kg}} = \text{Rs10 560}[/tex]
3. Calculate the net unit rate of income
The income from the good oranges was Rs10 560.
Based on 150 kg of oranges, the unit rate of income was
[tex]\text{Unit rate of income} = \dfrac{\text{RS10 560}}{\text{150 kg}} = \text{Rs70.40/kg}[/tex]
4. Calculate the original unit rate of cost
Let x = original unit cost. Then
0.10x = 10 % of original unit cost and
1.10x = 10 % over original unit cost
1.10x = RS70.40/kg
x = (RS70.40/kg)/1.10 = Rs64.00/kg
The original unit rate of cost was Rs64.00/kg.
∠A=5x−15 ∘ start color #11accd, angle, A, end color #11accd, equals, start color #11accd, 5, x, minus, 15, degrees, end color #11accd ∠ B = 2 x + 2 1 ∘ ∠B=2x+21 ∘
Answer: 45°
Step-by-step explanation:
Given that :
∠A=5x−15°---(1)
∠B=2x+21°----(2)
Equating
∠A = ∠B
(5x−15)° = (2x+21)°
5x - 15 = 2x + 21
Collecting like terms
5x - 2x = 21 + 15
3x = 36
x = 12
Substitute x = 12 in either angle A or B since both are congruent
∠A=(5x−15)°
∠A = (5(12) - 15)°
∠A = (60 - 15)°
∠A = 45°
∠A = ∠B = 45°
4n + 14 - 5n = -6 what is the value of n
Answer:
n = 20
Step-by-step explanation:
4n + 14 - 5n = -6
(4n - 5n) + 14 = -6 Combine like terms
-n + 14 = -6
-14 -14 Subtract 14 from both sides
-n = -20
/-1 /-1 Divide by -1
n = 20
Answer:
n = 20
Step-by-step explanation:
[tex]4n+14-5n=-6[/tex]
So we have to simplify the equation.
4n + -5n = -n
So our equation looks like this now -> [tex]-n+14=-6[/tex].
So now to get -n by itself we get 14 and -6 by itself.
So we do -6 - 14 and we get -20.
So our equation looks like [tex]-n=-20[/tex].
So now we have to make n positive we do -n ÷ -1 which is n.
And since we divided -n by -1 we have to divide -20 by -1 which is 20.
So n is 20.
Which of the following options best describes the solution process and solution(s) for the quadratic equation? -2x2 + 3x + 4 = 7
Answer:
Step-by-step explanation:
If there are options, please share them.
Subtract 7 from both sides. We obtain: -2x^2 + 3x - 3. The coefficients of this quadratic are a = -2, b = 3 and c = -3. Thus, the discriminant is
b^2 - 4ac, or 3^2 - 4(-2)(-3), or 9 - 24, or -15. Because the discriminant is negative, this quadratic has two complex roots which differ:
-3 ± i√15
x = -----------------
-4
I Need Help Please I'm Out Of Time. :(
Answer:
Class A is using 60% salt solution while Class B is using a 50% salt solution. So Class A's solution is saltier. 3/5=0.60 which equals 60%. 2/4=0.50 which equals 50%. That's how I know it is saltier
Answer:
3/5 and 2/4
You can cross multiply
3 x 4 = 11
2 x 5 = 10
3/5 is bigger
You can also convert into decimal
3/5=0.6
2/4=0.5
Hope this helps
Step-by-step explanation:
40. Find the perimeter of the figure below.
Answer:
24 cm
Step-by-step explanation:
To find the perimeter of the shape:
3+3+6+6=18
Perimeter of rectangle is 18
Triangle is equilateral, and therefore, all it’s sides are the same.
The final step is:
3+3+6+6+6= 24
Answer:
Option B. is the correct choice.
Step-by-step explanation:
Perimeter = 3+6+6+3+6
= 24 cm
Best Regards!
Assume that a sample is used to estimate a population proportion p. Find the 98% confidence interval for a
sample of size 131 with 81% successes. Enter your answer as a tri-linear inequality using decimals (not
percents) accurate to three decimal places.
apa
> Next Question
Answer:
[tex]0.81 - 2.326 \sqrt{\frac{0.81(1-0.81)}{131}}=0.730[/tex]
[tex]0.81 + 2.326 \sqrt{\frac{0.81(1-0.81)}{131}}=0.890[/tex]
And the confidence interval would be:
[tex] 0.730 \leq \p \leq 0.890[/tex]
Step-by-step explanation:
Information given:
[tex] n=131[/tex] represent the sample size
[tex] \hat p=0.81[/tex] represent the estimated proportion
The confidence interval would be given by this formula
[tex]\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]
For the 98% confidence interval the value of [tex]\alpha=1-0.98=0.02[/tex] and [tex]\alpha/2=0.01[/tex], with that value we can find the quantile required for the interval in the normal standard distribution.
[tex]z_{\alpha/2}=2.326[/tex]
And replacing into the confidence interval formula we got:
[tex]0.81 - 2.326 \sqrt{\frac{0.81(1-0.81)}{131}}=0.730[/tex]
[tex]0.81 + 2.326 \sqrt{\frac{0.81(1-0.81)}{131}}=0.890[/tex]
And the confidence interval would be:
[tex] 0.730 \leq \p \leq 0.890[/tex]
Rewrite the equation 2x+3y=6 in slope-intercept form.
Answer:
y= 2/3x + 2
Step-by-step explanation:
Answer:
y = 2/3x − 2.
Step-by-step explanation:
We essentially just want a y on the left side, so let's subtract 2x from both sides to get −3y = −2x + 6.
Lastly, let's divide both sides by −3 to get y = 2/3x − 2.
Our equation is now in slope-intercept form, where the slope is 2/3 and our y-intercept is −2.
Which formula is used to calculate the standard deviation of sample data?
2.
X, - x
+ X2-X
+ ... + X-X
(1928)
s=1
n-1
(x1 - x)2 + (x2-x) +...+(XN-)?
2
11
N
w
(x1 - x)+ (x2-x)2 +...+(x+4) ?
N
2
Xq- x
-3)
+ X2-X
+
+ X
S=
n-1
Answer:
The first option from the picture
Step-by-step explanation:
In the picture attached, the question is shown.
In the first option:
s is the standard deviation[tex] x_1, x_2, \dots, x_n [/tex] are the members of the sample[tex] \bar{x} [/tex] is the sample meann is the number of members in the sampleThe formula for calculating the standard deviation of sample data is expressed as [tex]\sigma=\sqrt{\frac{\sum(x_1-\overline x)^2+(x_2-\overline x)^2+...(x_n-\overline x)^2)}{N} }[/tex]
What is a standard deviation?The standard deviation is a measure of the amount of variation or dispersion of a set of values.
A lower value of the standard deviation shows that value is close to the mean otherwise it is far from the mean
The formula for calculating the standard deviation of sample data is expressed as:
[tex]\sigma=\sqrt{\frac{\sum(x_1-\overline x)^2}{N} }[/tex]
Assume we have the following data x1, x2, ....xn, the standard deviation will be given as:
[tex]\sigma=\sqrt{\frac{\sum(x_1-\overline x)^2+(x_2-\overline x)^2+...(x_n-\overline x)^2)}{N} }[/tex]
Learn more on standard deviation here: https://brainly.com/question/475676
using soh cah toa find length of PN and round answer to nearest tenth of a foot?
Answer:
About 2.6 feet
Step-by-step explanation:
The tangent of an angle in a right triangle is the length of the opposite side divided by the length of the adjacent side. Therefore:
[tex]\tan 17= \dfrac{x}{8.6} \\\\x=\tan 17 \cdot 8.6\approx 2.6[/tex]
Hope this helps!
Find the standard form of the equation of the parabola with a vertex at the origin and a focus at (0.-4).
Oy=-x?
Oy2 = -4x
Oy2 = -16%
Oyə tox?
Answer:
[tex]x^2 = -16y[/tex]
Step-by-step explanation:
Given
[tex]Vertex = (0,0)\\Focus = (0,-4)[/tex]
Required
Equation of the parabola (in standard form)
The standard form of a parabola is [tex](x - h)^2 = 4p (y - k),[/tex]
Such that
Vertex = (h,k)
Focus = (h, k + p)
For the vertex
This implies that (h,k) = (0,0)
h = 0 and k = 0
For the focus
This implies that (h, k + p) = (0, -4)
[tex]h = 0\\k + p = -4[/tex]
Recall that [tex]k = 0;[/tex]
Hence, [tex]0 + p = -4[/tex]
[tex]p = -4[/tex]
Substitute [tex]p = -4[/tex], [tex]h = 0\ and\ k = 0[/tex] in the given formula
[tex](x - h)^2 = 4p (y - k),[/tex] becomes
[tex](x - 0)^2 = 4 * -4 (y - 0),[/tex]
[tex](x)^2 = 4 * -4 (y),[/tex]
[tex]x^2 = -16 (y),[/tex]
[tex]x^2 = -16y[/tex]
Hence,, the standard form is [tex]x^2 = -16y[/tex]
which term best describes the function represented by the graph?
A) Exponential Growth
B) Exponential Decay
C) Linear Decreasing
D) Linear Increasing
Answer:
D
Step-by-step explanation:
Its a straight line, and remember, you ALWAYS read graphs from left to right, so its linear increasing. :)
A water tank is leaking such that for each of the next 5 hours, the amount of water in the tank will be 2 gallons less than at the end of the previous hour. What type of relationship most appropriately models this situation? A. linear increase B. exponential growth C. linear decrease D. exponential decay
Answer:
C. Linear decrease
Step-by-step explanation:
I can't really show a graph but I will try to explain
The water is leaking at a constant rate, meaning its not regaining it water (its only leaking). So if u were to graph this it would be a linear decrease
( That was a Terrible explanation but the answer is right lol)
What is 4 square root of 81 to the fifth power in exponential form
Answer:
B is the answer.
Step-by-step explanation:
[tex]x^{\frac{m}{n} } = \sqrt[n]{x^{m} }[/tex]
[tex]\sqrt[4]{81^{5} }[/tex] = [tex]81^{\frac{5}{4} }[/tex]
Solids X and Y are similar.
X has volume of 64 cm3
Y has volume of 729 cm3
The surface area of X is 208 cm2
Work out the surface area of Y.
Answer: 2,369.25 cm3
Step-by-step explanation:
Hi, to answer this question we have to use proportions:
X has volume of 64 cm3 and s surface area of 208 cm2
The proportion is = volume / surface area = 64/208
Y has volume of 729 cm3
Volume / surface area = 729/ s (surface area of y)
64/208 = 729/ s
Solving for s:
s = 729 / (64/208)
s = 2,369.25 cm3
Feel free to ask for more if needed or if you did not understand something.
a tennis player is standing 12 meters from the base of the net when he hits the ball.the ball passes over the net and lands on the other side 6 meters away from the base of the net. if the height of the net is 1.5m , find the height of the ball when its struck by the player?
A) 3.5m
B)4.5m
C)4.0m
D)4.25m
Charlie invests £1200 at 3.5% per annum compound interest. Work out the value of Charlie's investment after 3 years.
Answer:
Calculate the value of the investment at the end of 3 years. 2000 x 3.5% = 70%
Step-by-step explanation:
Hope this Helps
Find all possible values of the fraction below. (Assume different letters are different digits, and the same letters are the same digits.) (G*R*O*U*N*D)/(B*A*S*E)
Answer:
there is one possible value: 0.
Step-by-step explanation:
We have 10 different letters in this fraction {G,R,O,U,N,D,B,A,S,E} and only 10 different digits {0,1,2,3,4,5,6,7,8,9}. It means that some letter must be equal to 0. Consider two cases:
I case:
[tex]0 \in \{G, R, O, U, N, D\}[/tex]. Then enumerator of fraction must be equal to zero (because product of numbers with zero among them always zero).
So [tex]\frac{GROUND}{BASE} = \frac{0}{BASE} = 0[/tex] in this case.
II case:
[tex]0 \in \{B,A,S,E\}[/tex]. Then for the same reasons as in I case denominator of fraction is equal to zero. And we know that fraction
[tex]\frac{BASE}{0}[/tex] is not well-defined.
A sequence of squares is made of identical square tiles. The edge of each square is one tile length longer than the edge of the previous square. The first three squares are shown. How many more tiles does the seventh square require than the sixth
y=1/20x^2
The directrix of the parabola is:
x=-5
x=5
y=-5
Answer:
it's y=5
Step-by-step explanation:
Answer:
The correct answer is -5 not 5.
What is the measure of angle A'?
45º
63º
72º
98º
Answer:
In geometry, an angle measure can be defined as the measure of the angle formed by the two rays or arms at a common vertex.
Step-by-step explanation:
Angles are measured in degrees ( °), using a protractor. The protractor was invented by Joseph Huddart in 1801. It was a more complex form of protractor. hope this helps you :)