The total number of common tangents that can be drawn to the circles is 2.
What is a tangent?A tangent serves as line that touches the circle at a single point whereby the point where tangent meets the circle is the tangency.
A tangent to a circle can be described as the straight line that touches the circle at only one point.
Therefore, from the definition, The total number of common tangents that can be drawn to the circles is 2.
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PLS HELP OR ILL FAIL MY CLASSES I RLLY NEED HELP PLEASE + 30 POINTS + BRAINLIST
PLS HELP
PLS
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I NEED HELP
HELP
I’ll appreciate it so much please don’t skip and read this please
Answer:
See the attached picture.
Step-by-step explanation:
What is the weight (in grams) of a liquid that exactly fills a 202 milliliter container if the density of the liquid is 0.685grams over milliliter? round to the nearest hundredth when necessary, and only enter numerical values, which can include a decimal point.
Answer:
138.37 g
Step-by-step explanation:
Mass is the product of density and volume.
MassM = ρV = (0.685 g/mL)(202 mL) = 138.37 g
(z+x)² + 4/5x when x = 2 and y = 4
The value of the given function if x = 2 and y = 4 is 37 3/5
Functions and valuesFunctions are expressions used to determine the relationship between two or more variables.
For instance, f(x) is pronounced as the function of x. Given the expression below
(y+x)² + 4/5x
Given the following parameters
x = 2
y = 4
Substitute the given parameters
f(x,y) = (y+x)² + 4/5x
f(2, 4) = (4+2)² + 4/5(2)
f(2,4) = 6^2 +8/5
f(2, 4) = 36 + 8/5
f(2, 4) = 180+8/5
f(2, 4) =188/5
f(2, 4) = 37 3/5
Hence the value of the given function if x = 2 and y = 4 is 37 3/5
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Multiply (x - 3)(x2 + 7x - 2)
Answer:
x^3+4x^2−23x+6
Step by Step:
(x−3)(x2+7x−2)
=(x+−3)(x2+7x+−2)
=(x)(x2)+(x)(7x)+(x)(−2)+(−3)(x2)+(−3)(7x)+(−3)(−2)
=x3+7x2−2x−3x2−21x+6
=x3+4x2−23x+6
20 POINTS
The following are the ages of 15 music teachers in a school district. 24, 26, 27, 29, 29, 32, 37, 40, 40, 41, 45, 52, 56, 56, 58. Notice that the ages are ordered from least to greatest. Make a box-and-whisker plot for the data.
The box and whisker plot is plotted with minimum value 24, maximum value 58, first quartile 29, third quartile 52 and median 40.
Given that, the ages of 15 music teachers in a school district are 24, 26, 27, 29, 29, 32, 37, 40, 40, 41, 45, 52, 56, 56, 58.
A box and whisker plot also called a box plot displays the five-number summary of a set of data. The five-number summary is the minimum, first quartile, median, third quartile, and maximum. In a box plot, we draw a box from the first quartile to the third quartile. A vertical line goes through the box at the median.
Minimum value = 24
Maximum value = 58
First quartile = 29
Third quartile = 52
Median = 40
Therefore, the box and whisker plot is plotted with minimum value 24, maximum value 58, first quartile 29, third quartile 52 and median 40.
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How many 5-letter words can be made using exactly 5 of the letters from
TEXAS and MEXICO? Letters may only be used as many times as they appear. (For
example, XETEX is allowed. However, MATEA is not allowed, since the A appears twice
in MATEA but only once in the given words.)
Step-by-step explanation:
for TEXAS using permutation formula
we have:5!/1!1!1!1!1!=5!=120
for MEXICO using permutation formula
we have:6!/1!1!1!1!1!1!=6!=720
Define the singular matrix.
Answer:
A square matrix whose determinant is equal to zero is called singular matrix.
[tex]\huge \mathbb{ \underline{ANSWER:}}[/tex]
[tex]\leadsto[/tex] So the square matrix that has its det zero and its inverse is not defined is called a singular matrix.
[tex]\bold{Example:}[/tex]
[tex]\begin{bmatrix} \sf{3} & \sf{6} \\ \sf{2} & \sf{4}\end{bmatrix} \\ \\ \sf and \\ \begin {bmatrix} \sf{ 1} & \sf2 & { \sf2} \\ { \sf1} & { \sf2} & \sf{2} \\ \sf{3} & \sf {2} & \sf{1}\end{bmatrix}[/tex]
[tex]\huge \mathbb{ \underline{EXPLANATION:}}[/tex]
A singular matrix is a square matrix if its determinant is O. i.e., a square matrix A is singular if and only if det A = 0. The formula to find the inverse of a matrix is
▪ [tex] \bold{ {A}^{1} = \dfrac{1 \: }{det \:A } adj[A] }[/tex]
So if det A = 0 then the inverse of A will be not defined.
What is the location of point g, which partitions the directed line segment from d to f into a 5:4 ratio? a number line goes from negative 5 to positive 10. point d is at negative 2 and point f is at positive 7. a line is drawn from point d to point f.
the location of the g point is 3.
What is Proportion?Two ratios are set to be equal in an equation called a proportion. You might express the ratio as 1: 3 for instance, if there is 1 boy and 3 girls.
According to the given Information:Point G Partition the directed line segment form d to f into a
5:4 ratio
so,
g - d = (5/9) x (f - d)
We have that d = -2 and f = 7, Therefore
g - d = (5/9) x (f - d)
g + 2 = (5/9) x (7 + 2)
g + 2 = 5
g = 3
Therefore the location of the g point is 3.
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Answer: OPTION D
Step-by-step explanation:
Lorie ordered a shed to hold her gardening supplies. The shed had a length of 16.25 ft, a width of 11 ft, and a height of six and one fifth ft. Determine the volume, V, using the formula V = lwh.
The volume of the shelter is 1108.25 cu. ft.
What is a Cuboid?A cuboid is a three-dimensional figure with 6 faces, all the faces are rectangular in shape.
The volume is the space occupied by it in a three-dimensional figure.
The volume of a cuboid whose length is l,
The width is w, and
Height is h.
V = length * Width * Height
V = lwh
The length of the shed is 16.25 ft.
The width of the shed is 11 ft.
The height of the shed is 6 1/5 ft
The height of the shed is 31/5 = 6.2ft.
The volume of the shed is given by
V = 16.25 * 11 * 6.2
V = 1108.25 cu.ft
Therefore, the shed has a volume of 1108.25 cu.ft.
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Could somebody help me with this? I'm terrible at these problems
Answer:
1. to add 9 to both sides
2. to multiply by 2 to both sides (horrible English)
3. x = -8
Step-by-step explanation:
why do you feel you are terrible at this ?
this is like a riddle or puzzle to solve. like a magic cube or changing a match in a pattern of matches to create another pattern.
let's try and explain this to you.
an equation is like a balance, where both cups are in perfect balance.
whatever value is on the left side, is exactly also on the right side. although it is not plainly visible and explainable, why they are equal.
so, to find out we need to transform the equation. and to keep the balance while transforming you have to do the same changes on both sides of the balance. until you find out what makes the cups equal.
if we destroy the balance at any point, we have no more chance to find out what made both sides equal in the first place, because there is no more original balance.
we can do all mathematical operations in the transformation.
we can add things, subtract things, multiply by a factor, divide by something, ... - anything.
x/2 - 9 = -13
to get clarity in our search for the reason of the equality we try to combine the same type of terms on one side of the equation, and the other type (or types) on the other side.
what types of terms do we have here ?
there is one with a variable (x/2), and there are constant terms (-9, -13).
so, what do I need to do to get rid of the constant term (-9) on the side of the variable term (so that this becomes the side with only variable terms) ?
I need to add 9, so the constant term on that side turns 0 and therefore disappears in the sum. but remember, the action has to be done on both sides.
so,
x/2 - 9 = -13 | + 9 on both sides
x/2 - 9 + 9 = -13 + 9
x/2 = -4
what else is now blocking our view on what x is ?
there is this 1/2 factor of x.
how do we get rid of this 1/2 ? by multiplying by 2. because 2× 1/2 = 1, and a factor of 1 disappears in a multiplication.
x/2 = -4 | ×2 on both sides
x/2 × 2 = -4 × 2
x = -8
and now we see what it is that kept both cups or sides in balance : x = -8
How many nonzero terms of the maclaurin series for ln(1 x) do you need to use to estimate ln(1. 4) to within 0. 0001?
We need at least 7 terms of the Maclaurin series for ln(1 + x) to estimate ln 1.4 to within 0.0001
For given question,
We have been given a function f(x) = ln(1 + x)
We need to find the estimate of In(1.4) within 0.001 by applying the function of the Maclaurin series for f(x) = In (1 + x)
The expansion of ln(1 + x) about zero is:
[tex]ln(1+x)=x-\frac{x^2}{2} + \frac{x^3}{3} -\frac{x^4}{4} +\frac{x^5}{5} -\frac{x^6}{6} +.~.~.[/tex]
where -1 ≤ x ≤ 1
To estimate the value of In(1.4), let's replace x with 0.4
[tex]\Rightarrow ln(1+0.4)=0.4-\frac{0.4^2}{2} + \frac{0.4^3}{3} -\frac{0.4^4}{4} +\frac{0.4^5}{5} -\frac{0.4^6}{6} +.~.~.[/tex]
From the above calculations, we will realize that the value of [tex]\frac{0.4^5}{5}=0.002048[/tex] and [tex]\frac{0.4^6}{6}=0.000683[/tex] which are approximately equal to 0.001
Hence, the estimate of In(1.4) to the term [tex]\frac{0.4^6}{6}[/tex] is enough to justify our claim.
Therefore, we need at least 7 terms of the Maclaurin series for function ln(1 + x) to estimate ln 1.4 to within 0.0001
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In a survey conducted among the people,200 like fruit and100 like both of them . using veen diagram, find the number of people who like at least. one of them
your question is not clear
The Library is having a book sale. Hardcover books sell for $4 each, and paperbacks sell for $2 each. If Connie spent $26 on 8 books, how many hard covers did she buy?
Please show work with a system of equations!!!!!!!!!!!!!
If Connie spent $26 on 8 books, The number of hard covers she buy is 5 hard cover.
Number of hardcover boughtLet h represent hard cover
Let p represent paperbacks
Formulate an equation
h + p= 8.......(1)
4h + 2p= 26......(2)
Multiply equation (1) by -2
-2h + -2p = -16
4h + 2p = 26
2h + 0p =10
2h = 10
Divide both side by 2h
h=10/2
h =5 hard covers
Paper backs
P=5-2
P=3 paper backs
Therefore If Connie spent $26 on 8 books, The number of hard covers she buy is 5 hard cover.
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Simplify: 7^x+1 + 7^x / 2×7^x
The simplified form of the expression 7^x+1 + 7^x / 2×7^x as given in the task content follows from the laws of indices and is equal to; 4.
What is the simplified form of the expression 7^x+1 + 7^x / 2×7^x?It follows from the task content that the expression whose simplified form is to be determined is given as; 7^x+1 + 7^x / 2×7^x.
On this note, it follows from the law of indices that; 7^x+1 = 7× 7^x.
Hence, we have; 7^x(7+1 ) / 2×7^x.
And upon simplification, we have; 8/2 = 4.
Consequently, we may conclude that the simplified form of the expression as given in the task content is; 4.
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Help please!!!!!!! (im bad at math)
pls explain and provide calculation thank you
Answer:
At least 18 solid balls
Step-by-step explanation:
Volume of rectangular tank:[tex]\sf \boxed{\bf Volume \ of \ rectangular \ tank = length* width * height}[/tex]
Volume of empty space = Volume of the full tank - Volume of the tank till the water.
= 20*10*13 - 20*10*11
= 2600 - 2200
= 400 cm³
Volume of 1 solid ball = 23 cm³
Number of solid ball to make the tank overflow = 400 ÷ 23
≈ 18 solid balls
Question
What are the coordinates of the point (−4, 2) after a translation 2 units left and 2 units up?
(−6, 4)
begin ordered pair negative 6 comma 4 end ordered pair
(−6, 0)
begin ordered pair negative 6 comma 0 end ordered pair
(−2, 0)
begin ordered pair negative 2 comma 0 end ordered pair
(−2, 4)
begin ordered pair negative 2 comma 4 end ordered pair
Answer:
(-6,4)
Step-by-step explanation:
You started at (-4,2) The first number in the ordered pair moves the number left and right and the second number moved the point up and down.
We are first told to move the point 2 units to the left. -4 is my left right number. If I am at -4 and I go to unites to the left, I will be at -6. My new point is now (-6,2). Next we are told to go up 2. The 2 number in my ordered pair tells me that I am 2 above the x axis. Now I am going to go two more units up. I am now at 4, so my new ordered pair after the translation is (-6,4)
coordinates of the point (−4, 2) after a translation 2 units left and 2 units up would be (-6, 4).
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
We are asked to find the coordinates of the points (-4,2) after a translation 2 units left and 2 units up.
We know that translating a point to the left by 'a' units means we need to subtract 'a' units from x-coordinate of the point.
Translation to 2 units left:
(-4,2) → (-4-2, 2) → (-6, 2)
We know that translating a point to upwards by 'a' units means we need to add 'a' units to y-coordinate of the point.
Translation to 2 units up:
(-6, 2) → (-6, 2+2) → (-6, 4)
Therefore, coordinates of the point (−4, 2) after a translation 2 units left and 2 units up would be (-6, 4).
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A palindrome is a string of characters the reads the same backwards as it does forwards. for example, "mam" is a 3-letter palindrome. how many 6-letter palindromes are there?
If a palindrome is a string of characters the reads the same backward as it does forwards then there are 120 such palindromes after solving through permutations.
Given that a palindrome is a string of characters the reads the same backwards as it does forwards.
We are required to find the number of 6 letter palindromes.
Permutations is basically finding how many ways in which the some numbers or things can be arranged. It is expressed as [tex]nP_{r}[/tex]=n!/(n-r)!.
If there are 6 letters then in a palindrome 3 alphabets are used here to form a 6 letter word.
=6[tex]P_{3}[/tex]
=6!/(6-3)!
=6*5*4*3!/3!
=120 palindromes.
Hence if a palindrome is a string of characters the reads the same backward as it does forwards then there are 120 such palindromes.
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Evaluate the integral, show all steps please!
Answer:
[tex]\displaystyle \int \dfrac{1}{(9-x^2)^{\frac{3}{2}}}\:\:\text{d}x=\dfrac{x}{9\sqrt{9-x^2}} +\text{C}[/tex]
Step-by-step explanation:
Fundamental Theorem of Calculus
[tex]\displaystyle \int \text{f}(x)\:\text{d}x=\text{F}(x)+\text{C} \iff \text{f}(x)=\dfrac{\text{d}}{\text{d}x}(\text{F}(x))[/tex]
If differentiating takes you from one function to another, then integrating the second function will take you back to the first with a constant of integration.
Given indefinite integral:
[tex]\displaystyle \int \dfrac{1}{(9-x^2)^{\frac{3}{2}}}\:\:\text{d}x[/tex]
Rewrite 9 as 3² and rewrite the 3/2 exponent as square root to the power of 3:
[tex]\implies \displaystyle \int \dfrac{1}{\left(\sqrt{3^2-x^2}\right)^3}\:\:\text{d}x[/tex]
Integration by substitution
[tex]\boxed{\textsf{For }\sqrt{a^2-x^2} \textsf{ use the substitution }x=a \sin \theta}[/tex]
[tex]\textsf{Let }x=3 \sin \theta[/tex]
[tex]\begin{aligned}\implies \sqrt{3^2-x^2} & =\sqrt{3^2-(3 \sin \theta)^2}\\ & = \sqrt{9-9 \sin^2 \theta}\\ & = \sqrt{9(1-\sin^2 \theta)}\\ & = \sqrt{9 \cos^2 \theta}\\ & = 3 \cos \theta\end{aligned}[/tex]
Find the derivative of x and rewrite it so that dx is on its own:
[tex]\implies \dfrac{\text{d}x}{\text{d}\theta}=3 \cos \theta[/tex]
[tex]\implies \text{d}x=3 \cos \theta\:\:\text{d}\theta[/tex]
Substitute everything into the original integral:
[tex]\begin{aligned}\displaystyle \int \dfrac{1}{(9-x^2)^{\frac{3}{2}}}\:\:\text{d}x & = \int \dfrac{1}{\left(\sqrt{3^2-x^2}\right)^3}\:\:\text{d}x\\\\& = \int \dfrac{1}{\left(3 \cos \theta\right)^3}\:\:3 \cos \theta\:\:\text{d}\theta \\\\ & = \int \dfrac{1}{\left(3 \cos \theta\right)^2}\:\:\text{d}\theta \\\\ & = \int \dfrac{1}{9 \cos^2 \theta} \:\: \text{d}\theta\end{aligned}[/tex]
Take out the constant:
[tex]\implies \displaystyle \dfrac{1}{9} \int \dfrac{1}{\cos^2 \theta}\:\:\text{d}\theta[/tex]
[tex]\textsf{Use the trigonometric identity}: \quad\sec^2 \theta=\dfrac{1}{\cos^2 \theta}[/tex]
[tex]\implies \displaystyle \dfrac{1}{9} \int \sec^2 \theta\:\:\text{d}\theta[/tex]
[tex]\boxed{\begin{minipage}{5 cm}\underline{Integrating $\sec^2 kx$}\\\\$\displaystyle \int \sec^2 kx\:\text{d}x=\dfrac{1}{k} \tan kx\:\:(+\text{C})$\end{minipage}}[/tex]
[tex]\implies \displaystyle \dfrac{1}{9} \int \sec^2 \theta\:\:\text{d}\theta = \dfrac{1}{9} \tan \theta+\text{C}[/tex]
[tex]\textsf{Use the trigonometric identity}: \quad \tan \theta=\dfrac{\sin \theta}{\cos \theta}[/tex]
[tex]\implies \dfrac{\sin \theta}{9 \cos \theta} +\text{C}[/tex]
[tex]\textsf{Substitute back in } \sin \theta=\dfrac{x}{3}:[/tex]
[tex]\implies \dfrac{x}{9(3 \cos \theta)} +\text{C}[/tex]
[tex]\textsf{Substitute back in }3 \cos \theta=\sqrt{9-x^2}:[/tex]
[tex]\implies \dfrac{x}{9\sqrt{9-x^2}} +\text{C}[/tex]
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On a coordinates plane, a line passes through ( - 2 , 3 ) and ( 2 , 6 ). Which of the followings lies on the same line.
a. ( - 2 , 12 )
b. ( 6 , 12 )
c. ( - 6 , 0 )
d. ( - 6 , 6 )
By direct comparison and definition of line segment we notice that the point (x, y) = (- 6, 0) lies on the line segment AB as each AP is a multiple of former. (Correct choice: C)
What point lies on a line segment?
According to linear algebra, a point lies in a line segment if its vector is a multiple of the vector that generates the line segment itself, that is:
AB = k · AP (1)
The vector that generates the line segment is:
AB = (2, 6) - (- 2, 3)
AB = (4, 3)
And the vectors related to each point are:
Case A
AP = (- 2, 12) - (- 2, 3)
AP = (0, 9)
Case B
AP = (6, 12) - (- 2, 3)
AP = (8, 9)
Case C
AP = (- 6, 0) - (- 2, 3)
AP = (- 4, - 3)
Case D
AP = (- 6, 6) - (- 2, 3)
AP = (- 4, 3)
By direct comparison and definition of line segment we notice that the point (x, y) = (- 6, 0) lies on the line segment AB as each AP is a multiple of former. (Correct choice: C)
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I dont know this, please can someone help
The table of values for y=1/2x-1 is completed as follows:
x y
-2 -2
-1 -3/2
0 -1
1 -1/2
2 0
3 1/2
Exactly one value from the set of second components of the ordered pair is connected with each value from the set of first components of the ordered pairs in a relation known as a function.
Given function: y=1/2x-1
For x = -2
Value of y = -2
For x = -1
Value of y = 1/2(-1)-1 = -3/2
For x = 0
Value of y = 1/2(0)-1 =-1
For x = 1
Value of y = 1/2(1)-1 = -1/2
For x = 2
Value of y = 0
For x = 3
Value of y = 1/2(3)-1 = 1/2
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Determine the 95% confidence interval for the difference of the sample means. then complete the statements.
Answer:
Confidence Level z*-value
90% 1.645 (by convention)
95% 1.96
98% 2.33
99% 2.58
Step-by-step explanation:
the difference in sample means is 0.1, and the upper end of the confidence interval is 0.1 + 0.1085 = 0.2085 while the lower end is 0.1 – 0.1085 = –0.0085.
Find the area of the base of a drum if it needs 88 m long rope to tie twice it around.
solve with full solutions!
Answer:
[tex]154 $\ m^2[/tex]
Step-by-step explanation:
If 88 m of long rope is wrapped twice around the base of the drum, the circumference of the drum is 44m. We can use this information to find the radius of the base.
Find the RadiusThe equation for circumference is [tex]C=2\pi r[/tex]. We can substitute the value we found for circumference into the equation:
[tex]44=2\pi r[/tex]
Divide both sides by 2
[tex]22=\pi r[/tex]
Divide both sides by π
[tex]r=\frac{22}{\pi}[/tex]
Use the Radius to find the AreaThe area of a circle is [tex]A=\pi r^2[/tex]. We can substitute the value we found for the radius into the equation:
[tex]A=\pi (\frac{22}{\pi})^2\\[/tex]
[tex]A=\pi (\frac{22}{\pi})(\frac{22}{\pi})[/tex]
[tex]A=22*\frac{22}{\pi}[/tex]
[tex]A=\frac{484}{\pi}[/tex]
[tex]A\approx154[/tex]
The following dot plot shows the number of players at each table in Bill's Bingo Hall. Each dot represents a different table.
A dot plot has a horizontal axis labeled, Number of players, marked from 0 to 8, in increments of 1. The number of dots above each value is as follows. 0, 2; 1, 2; 2, 2; 3, 5; 4, 2; 5, 1; 7, 1.
A dot plot has a horizontal axis labeled, Number of players, marked from 0 to 8, in increments of 1. The number of dots above each value is as follows. 0, 2; 1, 2; 2, 2; 3, 5; 4, 2; 5, 1; 7, 1.
What is the lowest number of players at a table?
players
The lowest number of people at a table is 0.
What is the lowest number of people at a table?A dot plot is a graph that is used to represent the frequency of a data set. The dots in a dot plot represent the frequency of a number. The greater the height of a number, the higher its frequency. A dot plot is also known as a strip plot or a dot chart.
Looking at the dot plot, it can be seen that there are two dots above 2. This means that at two tables there was no one there.
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Evaluate, leave ur answer in index form. 2³ × 2^-1
Multiply = add powers
3 + - 1 = 2
- - means +
+ + means +
- + means -
Thus, answer is 2^2
Hope this helps!
using the order of operations, which operation in the expression 3x2-2³÷4 should be completed first
A.multiply 3 and 2
B.divide 2³ by 4
C.cube 2
D.subtract 2³ from 2
Answer:
C. Cube 2.
Step-by-step explanation:
Using PEMDAS the first operation to be done is E (Exponent) which is
2³.
PLS HELP, WLL GIVE BRAINLEST, AND DONATE POINTS, PLEASE HELP ASAP!!!!!! ALSO GIVING 30 POINTS
The answer is J.
The probability of spinning B on Spinner 1 is equal to the ratio of number of B to the total number of letter spaces.
2/81/4The probability of spinning 1 on Spinner 2 is equal to the ratio of number of 1 to the total number of number spaces.
2/61/3The probability is equal to :
1/4 × 1/31/12Answer:
J [tex]\frac{1}{12}[/tex]
Step-by-step explanation:
• First, let's find the probability of landing a letter B in Spinner 1.
We have a total of eight possibilities, and two of them are the letter B.
∴ [tex]P(B) = \frac{2}{8}[/tex]
= [tex]\bf \frac{1}{4}[/tex]
• Next, let's find the the probability of landing the number 1 on Spinner 2.
There are a total of six possibilities, and two of them are the number 1.
∴ [tex]P(1) = \frac{2}{6}[/tex]
= [tex]\bf \frac{1}{3}[/tex]
• Now we have to calculate the probability of spinning a letter B and the number 1:
[tex]P(B \space\ and\space\ 1) = \frac{1}{4} \times \frac{1}{3}[/tex]
= [tex]\bf \frac{1}{12}[/tex]
+
Simplify the following expressions by combining the like terms!
3) 4x-7-y+6-2y
4) 6y + 2(y + 1) - 5
5) 3(2+3x) + 4(y + 2x) - 6
Answer:
5) 3(2+3x)+4(y+2x)-6
Step-by-step explanation: its gone be -6 either way
help needed with this one
Based on the given parameters, the length of the missing length in the triangle is 12 units
How to determine the length of the missing side?The given triangle is an scalene triangle
Scalene triangles are triangles that have unequal three sides
The missing side is x, and the value of x is calculated using the following equivalent ratios
We have
4 : 8 = 6 : x
Express the above equation as a fraction
4/8 = 6/x
Evaluate the quotient
0.5 = 6/x
Solve for x
x = 6/0.5
Evaluate the quotient
x = 12
Hence, the length of the missing length is 12 units
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To promote a new brand of shoes, a shoe store will run
a promotion using a jar containing 3 red balls marked
"10% off," 2 white balls marked "30% off," and
1 green ball marked "60% off." Each customer will
randomly select 1 ball from the jar to determine the
discount that the customer will receive on any single
pair of the new brand of shoes. Given that the new
brand of shoes regularly costs $60 per pair, what is the
average discount amount, in dollars, that the store can
expect to give each customer due to this promotion?
Based on the percentage discount that one gets from the promotion using a jar, the average discount amount the shoe store can expect to give each customer is $15.
How much discount will the shoe store give on average?The average discount in percentages will be:
= (3/6 x 10%) + (2/6 x 30%) + (1/6 x 60%)
= 5% + 10% + 10%
= 25%
The average discount in cash amounts is:
= 25% x 60
= $15
In conclusion, the average discount amount that the store can expect to give each customer in dollars is $15.
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