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If light travels at 10,000 km in 3.0 x 10² seconds,
how long will it take light to travel one meter?
(1 km = 1 x 10³m)
Answer:
0.03 seconds
Step-by-step explanation:
10,000km = 300secs
1km = x seconds
Cross multiply the equation
10,000x = 300
Divide both sides by 10,000
10,000x = 300
10,000 10,000
x = 0.03 seconds
Need this question's answer.
Answer:
1.2
2.4√3÷3
3. x=45, y=15
Step-by-step explanation:
OK,
1. So the first part requires the Pythagoreanism formula which is: b²=a²+c²:
AC²=AB²+BC²====> AC²=(1)²+(√3)²===> AC²=4===> AC=2
2.The second part requires the formula of tan:
tan A=BC÷AB===> tan A=√3÷1===> tan A=√3
tan C=AB÷BC===> tan C=1÷√3===> tan C=√3/3
tan A+tan C=√3+√3/3===> 4√3÷3
3.And the last part requires the equation of angles:
A+B+C=180===>
x+y+x-y+90=180===> 2x=90===> x=45, y=15
forty-seven marbles are shared between some children. each child receives six marbles and there are five marbles left over. how many children share the marbles?
The total number of children can be calculated using linear equation in one variable. The marbles are shared among 7children.
Solution
Total number of marbles = 47
The number of marbles received by each child = 6
Let the number of children be x
Then according to the question'
Total number of marbles received by all children + 5 = Total number of marbles
6x + 5 = 47
6x = 47- 5
6x = 42
x = 7
now, the number of children is 7.
What is linear equation in one variable?An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation.A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant. A linear equation with two variables has the conventional form Ax + By = C.Here, the variables x and y, the coefficients A and B, and the constant C are all present.A linear equation's graph will always be a straight line.One-variable linear equations are fairly simple to solve. To determine the value of the unknown variable, the variables are divided and placed on one side of the equation, and the constants are combined and placed on the other side.Know more about linear equation https://brainly.com/question/12974594
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I need help! ASAP
As shown in the figure below, a || b and c is the transversal, m∠1= 40°, m∠2= 70°.
Question: m∠3= ?
Answer:
Step-by-step explanation:
your answer will be 110degrees
TIME REMAINING
01:38:18
The function rule T–4, 6(x, y) could be used to describe which translation?
a parallelogram on a coordinate plane that is translated 4 units down and 6 units to the right
a trapezoid on a coordinate plane that is translated 4 units to the left and 6 units up
a rhombus on a coordinate plane that is translated 4 units down and 6 units to the left
a rectangle on a coordinate plane that is translated 4 units to the right and 6 units up
The translation that represents T–4, 6(x, y) is (b) a trapezoid on a coordinate plane that is translated 4 units to the left and 6 units up
How to determine the translation?The translation rule is given as:
T–4, 6(x, y)
This can be rewritten as
T(x- 4, y + 6)
The above represents a translation 4 units left and 6 units up
Hence, the translation that represents T–4, 6(x, y) is (b) a trapezoid on a coordinate plane that is translated 4 units to the left and 6 units up
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Help me solve this image please!!!
Based on the information, Christian would have $5525.5 of an annuity.
How to calculate the annuity?According to the given information, the number of coffees per week is 3 then, per month is 3x4 = 12
Each coffee is $4.5. Then monthly expenditure for coffees is 12 x 4.5 = $54
Rate of interest r = 1.6% = 1.6/100 = 0.016 and for monthly compounding r = 0.016/12 = 0.00133
n = number of payments = 8 x 12 = 96
We can use the formula for finding the future value as below
FV = C x [ ( 1 + r )n-1 ] / ( r )
FV = 54 x [ ( 1 + 0.00133 )96 – 1 ] / (0.00133)
= 54 x [ (1.13609 - 1)] / (0.00133)
= 54 x 0.13609 / (0.00133)
= 54 x 102.3233
= 5525.5
Therefore Christian would have $5525.5 of the annuity.
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Quick algebra 1 question for 50 points!
Only answer if you know the answer, quick shout-out to Dinofish32, tysm for the
Answer:
10 points
Step-by-step explanation:
From the passage, we know:
1. Jay earned 15 points after spending $60
2. We want to know the number of points he can earn if he spends $40
We can set this up into proportions.
60:15 = 40:x
The x is the number of points he will get after spending $40.
15(40) = 60x
600 = 60x
x = 10
Jay will earn 10 points if he uses $40.
Line ab passes through points a(-6,6) and b(12,3). if the equation of the line is written in slope-intercept form, y=mx+b, then m= -1/6. what is the value of b?
Answer: 5
Step-by-step explanation:
We have the equation of the line is of the form [tex]y=-\frac{1}{6}x+b[/tex].
Substituting in the coordinates (12,3), we get that:
[tex]3=-\frac{1}{6}(12)+b\\\\3=-2+b\\\\b=5[/tex]
equation of a line that passes through the points (4, 5) and (7, -7).
Answer:
y=-4x+21
Step-by-step explanation:
1. Draw these points on a graph.
2. Point A is (4,5) and Point B is (7,-7).
3. You find the slope (gradient) by the Change in Height/ Change in Horizontal distance.
4. Now put that slope and one point into the "Point-Slope Formula"
5. Simplify Algebraically.
Answer:
y = - 4x + 21
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (4, 5 ) and (x₂, y₂ ) = (7, - 7 )
m = [tex]\frac{-7-5}{7-4}[/tex] = [tex]\frac{-12}{3}[/tex] = - 4 , then
y = - 4x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (4, 5 )
5 = - 16 + c ⇒ c = 5 + 16 = 21
y = - 4x + 21 ← equation of line
15 POINTS!!!! PLS HELP LOOK AT PIC
Answer:
A
Step-by-step explanation:
The solutions of a quadratic function will always be the x intercepts. Thus, if there are two solutions, there are two x intercepts.
If the hypotenuse of a right triangle is 2 [tex]\sqrt{3}[/tex] units long and one of the legs is [tex]\sqrt{3}[/tex] units long, then how long is the other leg?
[tex]\sqrt{3}[/tex]
2[tex]\sqrt{3}[/tex]
3
Answer:
3
Step-by-step explanation:
a = the other leg:
[tex]a^{2} =(2\sqrt{3} )^{2} -(\sqrt{3}) ^{2} =(4)(3)-3=12-3[/tex]
[tex]a^{2} =9[/tex]
[tex]a=\sqrt{9}[/tex]
[tex]a=3[/tex]
Hope this helps
A sample of 66 observations will be taken from an infinite population. the population proportion equals 0.12. The probability that the sample proportion will be less than 0.1768 is:_________.
Using the normal distribution, the probability that the sample proportion will be less than 0.1768 is of 0.9222 = 92.22%.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].For this problem, the proportion and the sample size are given by:
p = 0.12, n = 66.
Hence the mean and the standard error are:
[tex]\mu = p = 0.12[/tex].[tex]s = \sqrt{\frac{0.12(0.88)}{66}} = 0.04[/tex]The probability that the sample proportion will be less than 0.1768 is the p-value of Z when X = 0.1768, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.1768 - 0.12}{0.04}[/tex]
Z = 1.42
Z = 1.42 has a p-value of 0.9222.
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Which statement defines a translation?
OA A translation proportionally stretches or compresses an object based on a given scale factor.
OB. A translation moves points a specified distance along a line parallel to a specified line.
OC. In a translation, each point in the preimage and its corresponding point in the image are at equal distances from a given line.
Also, the line segment joining two such points is perpendicular to the given line.
OD. A translation is when an object moves in a circular arc around a point
the statement which defines a translation is option A that is "A translation proportionally stretches or compresses an object based on a given scale factor".
What is Translation ?
"Translation" moves points the same distance along lines that are parallel to each other.
Translation involves the initial object called the pre-image and the final object called the image. As you can see in the picture above, the rust-colored item represents the pre-image, and the blue item represents the image. Because of the arrow, we can tell the direction in which the image was moved. For other images, you may receive instructions on which image is the pre-image, or you may be asked to find the pre-image from the image.
Reflection, on the other hand, moves points along a specified line in such a way that the line bisects each line segment connecting corresponding pre-image points and image points.
There, the statement which defines a translation is option A that is "A translation proportionally stretches or compresses an object based on a given scale factor".
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Answer:
The correct answer is: A translation moves points a specified distance along a line parallel to a specified line
Step-by-step explanation: I got it right on plato.
Using rigid motion, which statement is true about the triangles?
O ABC is congruent to FED
O ABC is congruent to FDE.
Ο Δ ABC is congruent to DEF.
triangles are not congruent
Answer:
ABC is congruent to DEF
Step-by-step explanation:
I think its this one cause the angles are the same
What are the center and radius of the equation (x-2)^2 + (y-9)^2 = 36?
Answer:
center (2, 9); radius 6
Step-by-step explanation:
Standard equation of a circle:
(x - h)² + (y - k)² = r²
where the center is (h, k), and r is the radius.
You have
(x - 2)² + (y - 9)² = 36
(x - 2)² + (y - 9)² = 6²
Compare this last form to
(x - h)² + (y - k)² = r²
h = 2; k = 9; r = 9
Answer: center (2, 9); radius 6
Answer:
centre = (2, 9 ) , radius = 6
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
(x - 2)² + (y = 9)² = 36 ← is in standard form
with centre (2, 9 ) and r² = 36 ⇒ r = [tex]\sqrt{36}[/tex] = 6
please help me 20 points
Out of 2000 pizzas he sells next time he should expect 797 stuffed crust or pan style. This can be obtained by using formula of probability and multiplying the total number of pizzas.
Find the expected value:The formula for Expected value:
EV = P(X) × n
where EV is the expected value and P(X) is the probability of X and n is the total number.
In the question it is given that,
Thin crust ⇒ number of thin crust sold = 307 Thick crust ⇒ number of thick crust sold = 224Stuffed crust ⇒ number of stuffed crust sold = 161Pan style ⇒ number of pan style sold = 191First we have to find the probability of stuffed crust or pan style,
P( stuffed crust or pan style) = P(stuffed crust) + P(pan style)
The number of stuffed crust and pan style = 161 + 191 = 352
The total number of crusts sold are ⇒ 307 + 224 + 161 + 191 = 883
⇒ P( stuffed crust or pan style) = 161/883 + 191/883
= 352/883
The expected value of stuffed crust or pan style,
n = 2000, P(X) = 352/883
EV = P(X) × n = (352/883) × 2000 = 797.28 ≈ 797
Hence out of 2000 pizzas he sells next time he should expect 797 stuffed crust or pan style.
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ABC Corporation recently issued an IPO. Shortly thereafter it decides it wants to buy back some of its shares. What time frame restrictions would ABC face in order to buy back their own stock
The time restriction faced by ABC Corporation for it to buy back its newly issued shares is 4 weeks
What is share buyback?
Share buyback means that the company would repurchase its own shares in the stock market by paying investors holding the shares, then reduce its number of shares outstanding by the number of shares bought back.
The shares repurchased are known as Treasury stocks, which are held until the company decides to reissue them or cancel them.
The restriction placed on a company before it can repurchase its shares is that the shares must be in issue 4 weeks, in other words, the new issued shares through Initial Public Offer(IPO) must be existence for 4 weeks before being repurchased by the company after having issued an IPO.
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find the area of the following
Answer:
24000 ft²
Step-by-step explanation:
Triangle PRS:b = base = PR = 240 ft
2AS = 240 ft
[tex]\sf AS = \dfrac{240}{2}\\\\ AS = 120 \ ft[/tex]
h = height = AS = 120 ft
[tex]\sf \boxed{\bf \ Area \ of \ triangle = \dfrac{1}{2}b*h}[/tex]
[tex]\sf =\dfrac{1}{2}*240*120\\\\ = 120 * 120\\\\ = 14400 \ ft^2[/tex]
Triangle PRQ:b = PR = 240 ft
3BQ = 240 ft
[tex]\sf BQ = \dfrac{240}{3}\\\\ BQ = 80 \ ft[/tex]
[tex]\sf Area \ of \ triangle \ PRQ = \dfrac{1}{2}*240*80[/tex]
= 120 * 80
= 9600 ft²
Area of the quadrilateral PQRS = area of ΔPRS + area of ΔPRQ
= 14400 + 9600
= 24000 ft²
This table shows values represented by an exponential function x= 0,1,2,3,4,5,6 y=1,3,9,27,64,125,216 what is the average rate of change for this function for the interval from x=2 to x=4?
27.5 is the answer
For this case we know that the average rate of change of a function is given by this general expression:
m = f(b) - f(a)/ b-a
For this special case from the info in the table we have:
a =2 , f(2) = 9
a =4 , f(4) = 64
And replacing the data with the average rate formula we got:
m = 64 - 9/4 - 2 = 27.5
And then the best answer for this case would be:
27.5
The exponential function is a mathematical function represented by f (x) = \ exp or e ^ {x}. Unless otherwise specified, the term generally refers to a function of a positive value of a real variable, but it can also be extended to complex numbers or generalized to other mathematical objects such as matrices and Lie algebras.
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Find the area of a circle with radius, r =
6.05m.
Give your answer rounded to 2 DP.
r
The diagram is not drawn to scale.
m²
Answer:
Step-by-step explanation:
The area of a circle is πr²
so your area is 114.99
ordenada al origen 6 = paralela a la recta 2x+3y+4=0
La ecuación de la recta que contiene el punto (x, y) = (0, 6) y es paralela a la recta 2 · x + 3 · y + 4 = 0 es igual a 2 · x + 3 · y - 18 = 0.
¿Cómo determinar la ecuación de una recta?
En esta pregunta tenemos que derivar una ecuación de la recta a partir de una recta y un punto. Dos rectas bajo forma implícita son paralelas si y solo si comparten los mismos coeficientes dependientes, entonces tenemos que el coeficiente independiente de la recta es:
2 · 0 + 3 · 6 + k = 0
18 + k = 0
k = - 18
Por tanto, la ecuación de la recta que contiene el punto (x, y) = (0, 6) y es paralela a la recta 2 · x + 3 · y + 4 = 0 es igual a 2 · x + 3 · y - 18 = 0.
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40 boys and 28 girls stand in a circle, hand in hand, all facing inwards. Exactly 18 boys give their right hand to a girl. How many boys give their left hand to a girl
Answer:
28-18=10
Step-by-step explanation:
10 boys give their left hand
hope it helps
sry if im wrong
There are 10 boys who give their left hand to a girl in the given scenario.
In a circle, the total number of students is equal to the sum of the number of boys and girls.
Therefore, in this case, there are 40 boys + 28 girls = 68 students in total.
Since exactly 18 boys give their right hand to a girl, there are 18 boys who are connected to girls in a clockwise direction. As the remaining boys are connected in a counterclockwise direction, the number of boys giving their left hand to a girl can be determined by subtracting 18 from the total number of girls.
Thus, the number of boys giving their left hand to a girl is 28 - 18 = 10 boys.
Therefore, there are 10 boys who give their left hand to a girl in the given scenario.
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What is the conditional probability that, when flipping a non-biased coin four times, there are at least two hs, given that the first flip is a h?
The conditional probability that, when flipping a non-biased coin four times, there are at least two heads, given that the first flip is a head, is 3/4.
Calculating the Conditional Probability:
Let us assume that getting a head in the first flip of coin is event B
Also, let us assume that getting a head in on of the remaining three flips is A
Then we have to find the probability of A given B, that is, P(A|B).
The formula for conditional probability is given as follows,
P(A|B) = P (A∩B) / P(B)
The probability of getting two heads, P(A∩B) = 3/8
The probability of getting head in the first flip, P(B) = 1/2
∴ P(A|B) = (3/8) / (1/2)
P(A|B) = 3/4
Thus, the conditional probability of getting at least two heads, given that the first flip is a head is 3/4.
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Andy is collecting pocket change for a fundraiser. he begins with 102 coins in the cup, and their monetary value is $17.10. if he has a mix of dimes and quarters, how many of the coins are dimes?
If Andy has 102 coins mixed with dimes and quarters and monetary value of $17.10 then he has 56 dimes and 42 quarters.
Given number of coins Andy has is 102 and montary value of all coins is $17.10.
We have to determine number of dimes and quarters.
1 dime=$0.10
1 quarter=$0.25
Suppose the number of dimes be x and number of quarters be y.
The equations are:
0.10x+0.25y=17.10------------1
x+y=102-------------2
from equation 2, y=102-x
Put the value of y=102-x in equation 1
0.10x+0.25(102-x)=17.10
0.10x+25.5-0.25x=17.10
-0.15x=17.10-25.5
-0.15x=-8.4
x=8.4/0.15
x=56
Put the value of x in y=102-x
y=102-56
y=46
Hence Andy has 56 number of dimes and 46 quarters.
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Enacting a modeled response depends on your ability to reproduce the response by converting your stored mental images into overt behavior.
Answer:
??
Step-by-step explanation:
Find the nth term an of the geometric sequence described below, where r is the common ratio.
a4 = -8, r= -2
Answer:
[tex]a_n=(-2)^{n-1}[/tex]
Step-by-step explanation:
So a geometric sequence can be explicitly defined as: [tex]a_n = a_1(r)^{n-1}[/tex]. IN this case we're given r, but we don't know what a_1 is. We can find this by lugging in 4 as n, and -8 as a_n, since they're given values
Plug known values in:
[tex]-8 = a_1(-2)^{4-1}[/tex]
Subtract the values in the exponent
[tex]-8 = a_1(-2)^3[/tex]
Simplify the exponent
[tex]-8 = a_1 (-8)[/tex]
Divide both sides by -8
[tex]1=a_1[/tex]
So the nth term can be defined as: [tex]a_n = 1(-2)^{n-1}[/tex], and since the 1 is redundant, the equation can simply be defined as: [tex]a_n=(-2)^{n-1}[/tex]
Please help! It is due right now!!!
The total bill for dinner was $33.03 (including tax and a tip). If they paid a 20.2% tip, what was their bill before adding the tip?
Using proportions, it is found that their bill before adding the tip was of $27.48.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
They paid a 20.2% tip, hence 120.2% = 1.202 of the price x is equals to $33.03, hence the bill before the tip is found as follows:
1.202x = 33.03
x = 33.03/1.202
x = $27.48.
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Helppp please and thank uuu
What transformation is used to create this frieze pattern?
vertical reflection
glide reflection
horizontal reflection
180° rotation
Answer:
Using translation concepts, it is found that the transformation used to create this frieze pattern is a 180º rotation.
Step-by-step explanation:
The triangles are similar. Find the value of the variable.
Corresponding Parts Of Congruent Figures Are Congruent
Please Help !!
In Mathematics, two geometric figures are considered to be congruent only when their corresponding side lengths are congruent and the magnitude of their angles are congruent.
Since we know that rigid motions preserve both the side length and angle measure, this ultimately implies that congruent segments have the same (equal) length.
Thus, line segment UV ≅ line segment XY i.e UV = XY and as such the side lengths are as follows:
SU = VX = 43 feet.
For the congruent angles, we have:
<J ≅ <K i.e m<J = m<K
m<S = m<V = 38°.
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