Answer: 16384
Step-by-step explanation:
Given: Total marbles = 7 (All are distinct)
Total jars = 4
Assume that, the jar is empty.
When we put marbles in the jar, we need to choose jar each time.
For each marble, total choices = Total jars = 4
Then, by using the fundamental counting principle,
The number of ways to put seven marbles in different colors into four jars =
[tex]4^7[/tex]
= 16384
Hence, the required number of ways =16384
Answer:
your answer is 16384
Step-by-step explanation:
have a nice day.
What is the measure of the angle between the minute and the hour hands, when they show 3:05 PM?
Answer:
62.5°
Hope this helps :)
ASAP!! can someone help solve any of these? whoever answers the most gets brainliest, i underlined the questions
Answer:
can u please type out the photo is too dark to see the questions
Step-by-step explanation:
Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-8, -6), B(-3,-6), C(-3, -4), and D(-8, -4). Given these coordinates, what is the length of side AB of this rectangle?
Answer:
The length of AB is 6
Step-by-step explanation:
Graph the question out.
Count from A to B
Which equation represents the vertical asymptote of the graph? a curve asymptotic to y equals 0 from negative x to negative y near x equals 12. A curve asymptotic to y equals 0 from positive x to positive y near x equals 12. x = 0 y = 0 x = 12 y = 12
Answer:
The correct option is x = 12
Step-by-step explanation:
An asymptote of a function is a line to to which the function converges to as it tends to infinity such that the function gets infinitesimally close to its asymptote but the function will not reach or cross its asymptote. That is the separating distance between the function and the asymptote tends to zero as either the x or y coordinates, or both the x and y coordinates tend to infinity.
A vertical aymptote, is one parallel to the y-axis and it is given by the value of the x-coordinate where it occurs
In the graph of the question, the vertical asymptote occurs at x = 12 and it is the line x = 12.
From the given graph, it can be said that the vertical asymptote will be formed at x=12. Option C is correct.
The given curve represents a function which is defined for all value fo x except 12.
The following information can be extracted from the graph of the function;
The function is defined for all values of x except 12.The function has a horizontal asymptote at y=0.The function forms a vertical asymptote at x=12. The curve approaches negative infinity from the left of 12 and approaches positive infinity from right of 12.Based on the above conclusions, it can be said that the vertical asymptote will be formed at x=12. Option C is correct.
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Please I need help!
Write the equation of the line that passes through the points (7, -4) and ( 1, 3), first in point-slope form, and then in
slope intercept form
The slope of the line is
When the point (7, -4) is used, the point-stope form of the line is
The slope intercept form of the line is
Answer:
1)
[tex]\text{ Slope = -3}[/tex]
2)
[tex]y+4=-\frac{7}{8}(x-7)[/tex]
3)
[tex]y=-\frac{7}{8}x+\frac{17}{8}[/tex]
Step-by-step explanation:
We want to write the equation of the line that passes through the points (7, -4) and (-1, 3) first in point-slope form and then in slope-intercept form.
1)
First and foremost, we will need to find the slope of the line. So, we can use the slope-formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let (7, -4) be (x₁, y₁) and let (-1, 3) be (x₂, y₂). Substitute them into our slope formula. This yields:
[tex]m=\frac{3-(-4)}{-1-7}[/tex]
Subtract. So, our slope is:
[tex]m=\frac{7}{-8}=-7/8[/tex]
2)
Now, let's use the point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
We will substitute -7/8 for our slope m. We will also use the point (7, -4) and this will be our (x₁, y₁). So, substituting these values yield:
[tex]y-(-4)=-\frac{7}{8}(x-7)[/tex]
Simplify. So, our point-slope equation is:
[tex]y+4=-\frac{7}{8}(x-7)[/tex]
3)
Finally, we want to convert this into slope-intercept form. So, let's solve for our y.
On the right, distribute:
[tex]y+4=-\frac{7}{8}x+\frac{49}{8}[/tex]
Subtract 4 from both sides. Note that we can write 4 using a common denominator of 8, so 4 is 32/8. This yields:
[tex]y=-\frac{7}{8}x+\frac{49}{8}-\frac{32}{8}[/tex]
Subtract. So, our slope-intercept equation is:
[tex]y=-\frac{7}{8}x+\frac{17}{8}[/tex]
And we're done!
Answer: Shown Below
Step-by-step explanation:
1. -7/8
2. y+4= (-7/8)(x-7)
3. y=(-7/8)x+ (17/8)
Just did it
Sam purchased 3 1/4 pounds of cheese. He used half of the purchased cheese for a casserole and 1/4 pound for sandwiches. Express as a mixed number the number of the number of pounds of cheese he has left.
Answer:
1 3/8 lbs.
Step-by-step explanation:
3 1/4 x 1/2 = 1 5/8
1 5/8-1/4=
1 5/8-2/8=
1 3/8
Identify an equation in point-slope form for the line perpendicular to
y=-2x+ 8 that passes through (-3,9).
O A. y - 9 = -2(x+3)
O B. y+3 - 3(x-9)
O C. y-9-(x + 2)
O D.y +9 = 2(x – 3)
The correct option is A. The equation in point-slope form for the line perpendicular to y = -2x + 8 and passing through (-3, 9) is: y - 9 = 1/2(x + 3).
To find the equation of a line perpendicular to y = -2x + 8 that passes through the point (-3, 9), we need to determine the slope of the perpendicular line.
The given equation is in slope-intercept form, y = mx + b, where m represents the slope. In this case, the slope of the given line is -2.
Since the perpendicular line has a slope that is the negative reciprocal of -2, we can determine its slope as 1/2.
Now that we have the slope (1/2) and a point (-3, 9) on the line, we can use the point-slope form of a line to write the equation:
y - y₁ = m(x - x₁)
where (x₁, y₁) is the given point and m is the slope.
Plugging in the values, we get:
y - 9 = 1/2(x - (-3))
Simplifying:
y - 9 = 1/2(x + 3)
Rearranging to match the given options:
y - 9 = 1/2(x) + 3/2
The equation in point-slope form for the line perpendicular to y = -2x + 8 and passing through (-3, 9) is:
y - 9 = 1/2(x + 3)
Therefore, the correct option is A.
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Complete question is below
Identify an equation in point-slope form for the line perpendicular to
y=-2x+ 8 that passes through (-3,9).
A. y - 9 = 1/2(x+3)
B. y+3 = 3(x-9)
C. y - 9 = (x + 2)
D. y + 9 = 1/2(x – 3)
A bowling ball is pushed with a force of 22.0 N and accelerates at 5.5 m/s2. What is the mass of the bowling ball? Ik the answer is 4.0, but I got it wrong for 4.00. I based the significant numbers off the 22.0 but apparently it's the 5.5. I always get it wrong when the question involves two numbers with different amounts of significant numbers (sometimes I use the smaller one but it wanted the bigger). How do I know when to use more or less significant numbers?
Step-by-step explanation:
You should always use the least number of significant figures. The exception is exact numbers or constants.
For example, there are 60 minutes in an hour. Even though this number has one significant figure, it is an exact number. So 15 minutes converted to hours would be 0.25 hr.
Write an algebraic equation to match each graph. (These graphs are not drawn to scale!)
Answer:
y=|x+1|
Step-by-step explanation:
The y value appears to be 1 more than the x value, so we need to add one to the x to make them even. (x+1)
But the y value doesn’t go below zero, so we need to add the absolute value brackets |x+1|
So y=|x+1|
The graph represents the equation : g(x) = |x + 1|
We have a graph given to us.
We have to write the algebraic expression depicting this graph.
What is Modulus of the function y = f(x) = x ?The modulus of the function y = f(x) = x is given by -
y = |x| = [tex]\left \{ {{x\;\;for\;x > 0} \atop {-x\;\;for\;x < 0}} \right.[/tex]
Using the above property, we can find out the number of solutions of any modulus equation.
The algebraic equation for the graph can be written as -
g(x) = [tex]\left \{ {{x+1;\;for\;x \geq 0} \atop {-x-1\;for\;x < 0}} \right.[/tex]
In the form of modulus function, we can write the above equation as -
g(x) = |x + 1|
Hence, the graph represents the equation : g(x) = |x + 1|
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Using everyday knowledge, indicate whether the if-then statements are correct forward-only or both forward and reverse.
Statement 1: If Bo is Mel's sibling, then Melis Bo's sibling.
Statement 2: If the sprinklers are on, then the grass is wet.
Answer:
1. Both forward and backward
2. Only forward
Step-by-step explanation:
The reason Statement 1 can be both forward and reverse is because is Bo and Mel are related then it will word forward and backward.
The reason Statement 2 can be only forward is because is the sprinklers are on then the grass is wet will work since it is saying ONLY the sprinklers are on. If it is reverse and the grass is wet if the sprinklers are ONLY on than that is false since if it rains than the grass can also be wet. So there are multiple ways that the grass can be wet hence the answers.
Answer:
Using everyday knowledge, indicate whether the if-then statements are correct forward-only or both forward and reverse. Statement 1: If Bo is Mel’s sibling, then Mel is Bo’s sibling. / Statement 2: If the sprinklers are on, then the grass is wet.
Step-by-step explanation:
Please help with step by step. Thank you.
Answer:
A) 90 degrees
B) 110 degrees
C) 78.5 in. sq.
D) 15.3 in. sq.
Step-by-step explanation:
A) 90 degrees by the two-tangent theorem
B) 360-90-90-70=110
C) A=pi r-squared
A=3.14x5x5
A=78.5
D) 70/360=0.1944
78.5x0.1944=15.3
Tanya is considering obtaining a loan. Which benefit will Tanya receive if she makes a down payment when she obtains the loan?
A. higher finance charge
B. higher interest rate
C. higher principal amount
D.lower penalties on late payments
O E.
lower principal amount
Answer:
E. lower principal amount
Step-by-step explanation:
We can use an example to show how this works:
You want to buy a car and it costs $20,000. The loan lasts 5 years (60 monthly payments) and the interest rate is 10%.
If you do not make any down payment, your initial principal will be $20,000, and your monthly payment will be $424.94, your total payments = $25,496.45 and the total interests = $5,496.45.
Instead, if you make a 20% down payment, your initial principal = $16,000, and your monthly payment will be $339.95, your total payments = $20,397.16 and the total interests = $4,397.16.
Answer:
E. lower principal amount
For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
Answer:
15.62 = x
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2
10 ^2 + 12^2 = x^2
100 +144 = x^2
244 = x^2
Take the square root of each side
sqrt(244) = sqrt(x^2)
15.62049935 = x
Rounding to the nearest hundredth
15.62 = x
Answer:
15.62
Step-by-step explanation:
We can use the Pythagorean Theorem.
10^2+12^2=c^2
100+144=c^2
244=c^2
15.62=c, or x=15.62
State the domain of the glven relation.
Answer:
x ≤ -1
Step-by-step explanation:
The domain is the x-values. Since the graph shows all numbers up to -1, the domain would be all numbers less than or equal to -1:
x ≤ -1
In a newspaper, it was reported that the number of yearly robberies in Springfield in 2013 was 100, and then went up by 25% in 2014. How many robberies were there in Springfield in 2014?
Answer:
125
Step-by-step explanation:
So saying something went up by 25% means that it is essentially
X + .25X
So in this case X = 100 and .25X = 25
So 100 + 25 = 125
Mr. Wilson invested money in two accounts his total investment was $8000. If one account pays 6% and interest and the other pays 12% interest how much did he invest in each account if he earned a total of $600 in an interest in one year
Answer:
Mr. Wilson invested $ 2,000 in the 12% simple interest account and $ 6,000 in the 6% simple interest account.
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Amount of the investment = $ 8,000
Interest rate of the first account= 6% simple
Interest rate of the second account= 12% simple
Interest of the accounts in a year = $ 600
2. How much did he invest in each account?
For answering the question, we will use the following equation:
x = Amount invested in the first account
8,000 - x = Amount invested in the second account
0.06x + 0.12 * (8,000 - x) = 600
0.06x + 960 - 0.12x = 600
-0.06x = 600 - 960 (Subtracting 960 at both sides)
-0.06x = -360
x = -360/-0.06
x = 6,000 ⇒ 8,000 - x = 2,000
Mr. Wilson invested $ 2,000 in the 12% simple interest account and $ 6,000 in the 6% simple interest account.
Akira receives a prize at a science fair for having the most informative project. Her trophy is in the shape of a
square pyramid and is covered in shiny gold foil.
3 in
How much gold foil did it take to cover the trophy, including the bottom?
inches
Answer:
45 square inches
Step-by-step explanation:
Akira receives the prize at the science fair for having the most informative project her trophy is in the shape of a square pyramid and is covered in shiny gold foil how much gold foil did it take to cover the trophy including the bottom
Total surface = surface area of the base square + area of 4 triangles
Calculate the surface area of the base square
surface area of the square = s^2
where s= side length
s=3 in
The surface area of the base =s^2
=3^2
= 9 square inches
The surface area of the side triangles
The area of the triangle = (1/2)* side length* slant height
Side length=3 in
Slant height=6 in
substituting the values,
The area of the triangle =1/2*3*6
= 18/2
= 9 square inches
There are 4 triangles
The area of 4 triangles = 4 x 9
= 36 square inches
Therefore,
Total surface = surface area of the base square + area of 4 triangles
= 9 + 36
= 45 square inches
Answer:
IT'S 216 TRUST ME!
Step-by-step explanation:
The coordinates of rhombus ABCD are A(–4, –2), B(–2, 6), C(6, 8), and D(4, 0). What is the area of the rhombus? Round to the nearest whole number, if necessary.
Answer:
The rhombus ABCD has an area of 22 square units.
Step-by-step explanation:
The coordinates of rhombus ABCD are shown in the image attached below. The area of the rhombus can be found in terms of their diagonals, which are now calculated by Pythagorean Theorem:
[tex]AC = \sqrt{[6-(-4)]^{2}+[8-(-4)]^{2}}[/tex]
[tex]AC = 15.620[/tex]
[tex]BD = \sqrt{(4-6)^{2}+[0-(-2)]^{2}}[/tex]
[tex]BD \approx 2.828[/tex]
The area of the rhombus is: ([tex]AC = 15.620[/tex] and [tex]BD \approx 2.828[/tex])
[tex]A = \frac{AC\cdot BD}{2}[/tex]
[tex]A = \frac{(15.620)\cdot (2.828)}{2}[/tex]
[tex]A = 22.087[/tex]
The rhombus ABCD has an area of 22 square units.
Answer:
22 units
Step-by-step explanation:
What is the area of the circle below? Use π = 3.14 to solve. Round your answer to the nearest hundredth. 160.36 feet² 184.96 feet² 190.56 feet² 200.96 feet²
Answer:
A =200.96 ft^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
The radius is 8
A = pi 8^2
A = 64 pi
Letting pi = 3.14
A = 64 ( 3.14)
A =200.96 ft^2
Answer:
[tex]\boxed{\mathrm{200.96 \: feet^2}}[/tex]
Step-by-step explanation:
Apply formula for the area of a circle.
[tex]area=\pi r^2[/tex]
The radius is 8 ft.
[tex]A=\pi (8)^2[/tex]
[tex]A=64\pi[/tex]
Take [tex]\pi[/tex] as 3.14
[tex]A=64(3.14)[/tex]
[tex]A=200.96[/tex]
please solve these questions for me. i am having a difficult time understanding.
Answer:
1) AD=BC(corresponding parts of congruent triangles)
2)The value of x and y are 65 ° and 77.5° respectively
Step-by-step explanation:
1)
Given : AD||BC
AC bisects BD
So, AE=EC and BE=ED
We need to prove AD = BC
In ΔAED and ΔBEC
AE=EC (Given)
[tex]\angle AED = \angel BEC[/tex] ( Vertically opposite angles)
BE=ED (Given)
So, ΔAED ≅ ΔBEC (By SAS)
So, AD=BC(corresponding parts of congruent triangles)
Hence Proved
2)
Refer the attached figure
[tex]\angle ABC = 90^{\circ}[/tex]
In ΔDBC
BC=DC (Given)
So,[tex]\angle CDB=\angle DBC[/tex](Opposite angles of equal sides are equal)
So,[tex]\angle CDB=\angle DBC=x[/tex]
So,[tex]\angle CDB+\angle DBC+\angle BCD = 180^{\circ}[/tex] (Angle sum property)
x+x+50=180
2x+50=180
2x=130
x=65
So,[tex]\angle CDB=\angle DBC=x = 65^{\circ}[/tex]
Now,
[tex]\angle ABC = 90^{\circ}\\\angle ABC=\angle ABD+\angle DBC=\angle ABD+x=90[/tex]
So,[tex]\angle ABD=90-x=90-65=25^{\circ}[/tex]
In ΔABD
AB = BD (Given)
So,[tex]\angle BAD=\angle BDA[/tex](Opposite angles of equal sides are equal)
So,[tex]\angle BAD=\angle BDA=y[/tex]
So,[tex]\angle BAD+\angle BDA+\angle ABD = 180^{\circ}[/tex](Angle Sum property)
y+y+25=180
2y=180-25
2y=155
y=77.5
So, The value of x and y are 65 ° and 77.5° respectively
The surface area of a rectangular prism that has height of 4 inches, width of 9 inches and length of 3 inches = ____________ in2.
Answer:
150 in^2
Step-by-step explanation:
The ends have the smallest surface area. The total surface area of the ends is thus 2(3 in)(4 in) = 24 in^2
The top and bottom together have the total surface area 2(9 in)(3 in) = 54 in^2.
Finally, the front and back surface areas together are 2(9 in)(4 in) = 72 in^2
Thus, the total surface area is (24 + 54 + 72) in^2 = 150 in^2
Surface area of a rectangular prism is equal to [tex]\boldsymbol{150}[/tex] square inches.
Surface area of a rectangular prismHeight of a rectangular prism [tex]=4[/tex] inches
Width of a rectangular prism [tex]=9[/tex] inches
Length of a rectangular prism [tex]=3[/tex] inches
Surface area of a rectangular prism [tex]=\boldsymbol{2(lw+wh+hl)}[/tex] where [tex]l,w,h[/tex] denote length, width and height of a rectangular prism
Therefore,
Surface area of a rectangular prism [tex]=2\left [ 4(9)+9(3)+3(4)\right ][/tex]
[tex]=2\left ( 36+27+12 \right )\\=150[/tex]
So, surface area is equal to [tex]\boldsymbol{150}[/tex] square inches.
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HELP FIRST GET BRAINLLEST Measure the difference between the lower quartile of Data Set A and the lower quartile of Data Set B. Round to the nearest tenth when performing all operations.
Answer:
29
Step-by-step explanation:
To find the lower quartile you need to split it into 2 by finding the median
Set A: 73, 75, 79, 81, 84, 85
Set B: 47, 49, 51, 51, 55, 56
Now you have to find the median of each
A: 80
B: 51
Lastly, you subtract and get 29
HELP NOW A dartboard has 20 equally divided wedges, and you are awarded the number of points in the section your dart lands in. If you are equally likely to land in any wedge, what is the probability you will score more than 10 points?
Answer:
1/2 (or) 0.50 (or) 50%
Step-by-step explanation:
10 out of 20 wedges are worth more than 10.
10/20 = 1/2 (or) 0.50 (or) 50%
Answer:
0.75
Step-by-step explanation:
Which of the following expressions are equivalent to 4 - (-5) +0?
Intro
Choose 3 answers:
A: 4- (-5)
B: 4+5
C: 4- (-5+0)
D: (4-5)+0
E: 4- (5-0)
Answer:
A, B, C
Step-by-step explanation:
4 - (-5) + 0
4 - (-5) = 4 + 5 (because a negative + negative = positive)
4 + 5 = 9
a, b and c all equal 9
hopefully this helped you!! :3
Image attached: some sort of triangle stuff
Answer:
C
Step-by-step explanation:
On edg 2020
24 t 1,507 lb 12 oz + 7 t 938 lb 6 oz
Answer:
31t 2,446 lb 2oz
Step-by-step explanation:
24t+7t=31t
1,507+938=2,445 lb
12 oz+6 oz=18 oz = 1 lb + 2oz (16 oz in a pound)
31t+2,445 lb+1 lb + 2oz=
31t 2,446 lb 2oz
The table shows equivalent ratios for converting from the United States dollar (USD) to the Canadian dollar (CAD). What is the Canadian dollar equivalent of 25 USD?
Conversion Chart
USD CAD
5 4.95
7 6.93
8 7.92
11 10.89
Answer:
C
Step-by-step explanation:
25*0.99 = 24.75
Answer:
C
Step-by-step explanation:
Im taking the test
Anyone know this need help please
Answer:
81.1
Step-by-step explanation:
The formula to find the cirumference is C=πd
We know d=diameter
so.. C=25.8π
That's gives us 81.053
round it after to approximately 81.1
Answer:
find the equation to find a circumference of circle with that diameter
Step-by-step explanation:
The questions no l and p.
please help me as soon as possible!!!!!
Answer:
l = 2cosΘ p = see attachment
Step-by-step explanation:
√2+√2+2cos 4Θ
√2+√2(1 + cos 4Θ)
√2 + √2(2 cos² 2Θ)
√2 + √4 cos² 2Θ cos 2Θ = 2 cos²Θ - 1
√2 + 2cos 2Θ
√2(1 + cos 2Θ)
√4cos²Θ
2cosΘ
Answer:
Step-by-step explanation:
I'm only going to do the first one, because the tangent problem is going to give us both night mares.
Start with cos(4*theta), There are various places on the internet which solves this, so I won't bother. Basically it comes down to using cos(2*theta).
cos(4theta) = 8*cos^4(theta) - 8*cos^2 (theta) + 1
2*cos(4*theta) = 16*cos^4(theta) - 16cos^2(theta) + 2
2 + 2cos(4*theta) = 16cos^4(theta) - 16cos^2(theta) + 4
(2 + 2cos(4*theta) = (4 cos^2(theta) - 2 )^2
sqrt(2 + 2cos(4theta) = 4cos^2(theta) - 2
=====================================
sqrt(2 + 4cos^2(theta) -2 ) = sqrt( 4 cos^2(theta) = 2 cos(theta) = RHS
(06.01 MC)What is the value of the expression 2 + 3^2 ⋅ (3 − 1)?
Answer:
Step-by-step explanation:
2 + 3² * ( 3 -1) = 2 + 9 * 2
= 2 + 18
= 20
Answer:
20
Step-by-step explanation:
2 + 3² · (3 - 1)
= 2 + 3² · 2 -- (3 - 1 = 2)
= 2 + 9 · 2 -- (3² = 9)
= 2 + 18 -- (2 · 9 = 18)
= 20