Answer:
(a) 2.5
Step-by-step explanation:
(a) Since y is directly proportional to x we can write y and x in terms of the following equation:
y = cx where c is a constant
and c = y/x ...(1)
or,
x = y/c ...(2)
For (a)
y = 8 when x = 2 ==> c = y/x = 8/2 =4 from (1)
From (2) we get x = 10/4 = 2.5
The other questions can be solved in a similar fashion
If b = 5, then the exact value of a is?
Answer:
5sqrt3
Step-by-step explanation:
You can use trigonometry to figure out the answer
TOA is tan(any angle) = opposite/adjacent
Tan(30) = 5/x
tan(30) = sqrt3/3
x = tan inverse (30) multiplied by 5
x = 5sqrt3
Yall please help!!!!!! THANK YOUUU SO MUCHHH!!! Kinda lostttt
Answer:
Should be C
Step-by-step explanation:
Only the same power number can be use to add or subtract :)
But why is A, B and C same kinda stuff?
What should m<3 be for I1 II2
Answer:
63
Step-by-step explanation:
180 - 117 = 63 which is used to figure out angle 2.
Angle 2 and angle 3 are corresponding angles thus the measure of angle 3 is 63 degrees.
Answer:
Search up online
Step-by-step explanation:
i don't actually know but searching online is good
The revenue from selling shirts is r(x) = 11x.
The cost of buying x shirts is c(x) = 6x + 20.
The profit from selling x shirts is p(x) = r(x) - c(x).
What is p(x)?
Answer:
r(x)= 11x
c(x) = 6x + 20
p(x) = r(x) - c(x)
= 11x -( 6x + 20)
= 11x - 6x - 20
= 5x - 20
The events "male” and "buys lunch” are not independent because
P(buys lunch | male) = P(male) = 0.4.
P(male | buys lunch) = P(male) = 0.3.
P(buys lunch | male) = 0.3 and P(male) = 0.4.
P(male | buys lunch) = 0.4 and P(male) = 0.3.
The events "male” and "buys lunch” are not independent because P(male | buys lunch) = 0.4 and P(male) = 0.3.
Complete questionJames surveyed people at school and asked whether they bring their lunch to school or buy their lunch at school more often. The results are shown below.
Bring lunch: 46 males, 254 females
Buy lunch: 176 males, 264 females
The events "male" and "buys lunch" are not independent because
How to determine the probability?The number of male students is:
Male = 46 + 176
Male = 222
The number of female students is:
Female = 254 + 264
Female = 518
The total student is:
Total = 222 + 518
Total = 740
Next, calculate the probability of selecting a male student
P(Male) = 222/740
P(Male) = 0.3
Of all the 440 that buy lunch, 176 are male,
So, we have:
P(male | buy lunch) = 176 / 440
P(male | buy lunch) = 0.4
Because
P(male | buy lunch) and P(male) are not equal.
Then, the events "male” and "buys lunch” are not independent
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n + 7
------- = 2
13
Answer:
19
Step-by-step explanation:
(n+7)/13 = 2 [given]n+7=26 [multiply both sides by 13]n=19 [subtract 7 from both sides]Help me out please…….
Answer:
please suscribe my chsnnal
clue technical
Gary and Georgia split £56 in the ratio
2:5.
How much money does Georgia get?
Give your answer in pounds (£).
Answer:
£40
Step-by-step explanation:
sum the parts of the ratio, 2 + 5 = 7 parts
divide the amount by 7 to find the value of one part of the ratio.
£56 ÷ 7 = £8 , then
5 parts = 5 × £8 = £40 ← amount Georgia gets
Out of £56, the money received by Georgia is equivalent to $40.
What is Ratio?
The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Given is Gary and Georgia who split £56 in the ratio 2:5.
There are total of 7 parts. This means that £56 is divided equally among the seven parts. Assume that the one part is equivalent to x. Then the cost of 7 parts = 7x. From the question, we can write -
7x = 56
x = 8
Georgia has 5 parts, therefore the money received by Georgia will be = 5 x 8 = 40
Therefore, out of £56, the money received by Georgia is equivalent to $40.
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The area of the square is 36 square cm. Find its side.
Answer:
s = 6 cm
Step-by-step explanation:
the area (A) of a square is calculated as
A = s² ( s is the side length )
given A = 36 , then
s² = 36 ( take square root of both sides )
s = [tex]\sqrt{36}[/tex] = 6
HEEEEEEELPPP AND QUICKKKKK PLEASE OMGOMGOMGGMOGMGOMGOMGOMGOGMOMGOMGOMGOGMOGMOMGOMGOMOGOG
Answer:
C (The third answer). The square root of terms separated by addition and subtraction cannot be calculated individually.
Step-by-step explanation:
This problem can be thought similarly to: (x-2)²
A common mistake would to make the x squared and the -2 squared like x²+4, however, the problem should be solved like (x-2)(x-2) which equals to: x² - 4x + 4
In this question, if you square root an expression like ±√(b²-4ac), you cannot just take the square root of b² unless it was (b²)(-4ac).
The terms can only be divided individually if they are either multiplied or divided, but cannot if they are added or subtracted.
A club consists of 5 girls (Kirsten, Sarah, Suzie, Monica, and Katie) and 3 boys (Kevin, Steve and Samuel).
Find P(S-name U Boy)
The probability of selecting a person with a name that starts with S or a boy is [tex]\frac{5}{8}[/tex]
What is probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.
Given that, a club consists of 5 girls (Kirsten, Sarah, Suzie, Monica, and Katie) and 3 boys (Kevin, Steve and Samuel)
To find P(S-name U Boy), that is the probability of selecting a person whose name starts with S or boy.
n(S-name U Boy) = 5 {2 girls (Sarah, Suzie), 3 boys( Kevin, Steve and Samuel )}
Number of favourable outcomes=5
Total number of outcomes=5+3=8
P(S-name U Boy) [tex]=\frac{Number of favourable outcomes}{Total number of outcomes}[/tex]
[tex]=\frac{5}{8}[/tex]
Therefore, the probability of selecting a person with a name that starts with S or a boy is [tex]\frac{5}{8}[/tex].
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PLEASE HELP QUICKLY!!! WILL GIVE BRAINLYEST AWARD TO 1st RIGHT!!!
Answer:
i think is the third one
Solve |x — 6| = 8.
X
OA.
A. x 14 and x = -2
X=
OB. x = -14 and x = 2
OC. x =
14 and x = -14
D. x =
-14 and x = -2
x = 14 and x = -2
===========================================
Work Shown:
[tex]|x-6| = 8\\\\x-6 = 8 \ \text{ or } \ x-6 = -8\\\\x = 8+6 \ \text{ or } \ x = -8+6\\\\x = 14 \ \text{ or } \ x = -2\\\\[/tex]
-------------
Checking the answer x = 14
[tex]|x-6| = 8\\\\|14-6| = 8\\\\|8| = 8\\\\8 = 8\\\\[/tex]
That solution is confirmed.
Repeat for x = -2
[tex]|x-6| = 8\\\\|-2-6| = 8\\\\|-8| = 8\\\\8 = 8\\\\[/tex]
The second solution is confirmed.
Answer: A. x = 14, x = -2
Step-by-step explanation:
|x-6| = 8
this means x = 6+8 and x = 6-8
therefore, x = 14, x = -2
Hi! So, I know I got this answer wrong, but I wasn't sure how to solve an equation with signs like: [brackets] in it, I've included my problem as an example, but can someone please teach me what those brackets mean, and how do I go about solving an equation (using this problem as an example) with brackets like these?
Step-by-step explanation:
Brackets is the bigger version of parentheses, you first solve the questions inside the parentheses, then move onto brackets.
For example, this question:
[tex]x=-1\\y=-2\\z=3[/tex]
[tex]5x-y[7-4(z-y)][/tex]
plug in x, y, and z.
[tex]5(-1)-(-2)[7-4(3-(-2))][/tex]
[tex]5(-1)-(-2)[7-4(5)][/tex]
[tex]5(-1)-(-2)[7-20][/tex]
[tex]5(-1)-(-2)[-13][/tex]
[tex]-5-(-2)[-13][/tex]
[tex]-5-26[/tex]
[tex]-31[/tex]
I hope you understand better now.
An aerospace company's stock closes Tuesday at $144.12. The next day, it gains $5.92. What is the new stock price?
Answer:
150.04
Step-by-step explanation:
144.12
5.92
+ 150.04
Chapter - logarithms
Please help!!!
Answer:
[tex]\large\boxed{\sf n^2 \ log \ x }[/tex]
Step-by-step explanation:
Given that ,
[tex]\longrightarrow \log \ x + \log\ x^3 + \log \ x^5\ \dots + \log x^{2n-1} [/tex]
As we know that , [tex] \log x^n = n \log x [/tex] , therefore ;
[tex]\longrightarrow \log x + 3\log x + 5\log_x +\dots + (2n-1)\log x [/tex]
Take out log x as common ;
[tex]\longrightarrow \log x ( 1 + 3+5+...+(2n-1))[/tex]
The terms inside the brackets are the sum of first n odd numbers . And we know that the sum of first n odd numbers in n² . Therefore ;
[tex]\longrightarrow \log x (n^2) \\[/tex]
[tex]\longrightarrow \underline{\underline{\red{{ n^2\log x }}}}[/tex]
Option c is correct!
Instructions: Write the equation for the following
function. Do not use any spaces in your answer.
X
0
1
2
-1
y
0
-2
-4
-12
Y=
The function of the given data would be F(x) = y = 4x.
What is a function?The function is a type of relation, or rule, that maps one input to specific single output.
Given;
X(input) Y ( output)
0 0
1 4
2 8
3 12
We can see that
When the input is zero the output is also zero.
And when the input is some real number the output gives the multiple of 4.
Thus, The function could be
f(x) = 4x
The given function is represented by x as the independent variable.
Therefore, The function of the given data would be F(x) = y = 4x.
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Explain the difference between area and volume.
a. Area is a measurement of the distance around an object, while volume measures the amount of two-dimensional space inside an object.
b. The area of an object is the amount of 3-dimensional space is inside it. The volume of an object represents the distance around it.
c. The area of an object is the amount of 3-dimensional space is inside it. The volume of an object is a measurement of how much 2-dimensional space it has.
d. The area of an object measures the amount 2-dimensional space it occupies. Volume represents the amount of space inside a 3-dimensional object.
Answer:
d. The area of an object measures the amount 2-dimensional space it occupies. Volume represents the amount of space inside a 3-dimensional object.
Step-by-step explanation:
The difference between area and volume...
Area is expressed in square units (²), measured in 2D (length × width). Volume is expressed in cubic units (³), measured in 3D (length × width × depth).A. INCORRECT,
Area is not a measure of distance around an object that is perimeter. Volume = length × width × depth making it a 3D space inside an object NOT 2DB. INCORRECT,
Area of an object is not 3D space is inside, rather this is volumeVolume of an object represents the distance around it is not true, this is describing perimeterC. INCORRECT,
Area of an object is the amount of 3D space is is for volume not areaVolume of an object is a measurement of 2D space which not trueD. CORRECT,
Area of an object measures is a 2D space it occupies, length × widthVolume represents the amount of space inside a 3D object, length × width × depthLearn more about Area and Volume here: https://brainly.com/question/14306303
3x² - 5x+2
5x²-2x-6
Which of the following is the sum of the two
polynomials shown above?
A) 8x²-7x-4
B) 8x² +7x-4
C) 8x4-7x²-4
D) 8x² +7x²-4
which two values of x are roots of the polynomial below?
x^2 + 5x + 9
Answer:
The answer:
A. [tex]x= \frac{-5+ \sqrt{-11} }{2}[/tex]
F.[tex]x= \frac{-5- \sqrt{-11} }{2}[/tex]
Step-by-step explanation:
Step 1: Solve with quadratic formula
[tex]x_{1},2 = \frac{-b+- \sqrt{b^2}- 4ac }{2a}[/tex]For [tex]a=1, b=5, c=9\\x_{1},2 = \frac{-5 + \sqrt{5^2 -4 *1 *9} }{2*1}[/tex]Step 2: Simplify
[tex]\sqrt{5^2 - 4 *1 *9} : \sqrt{11} i[/tex]Multiply the numbers: [tex]4*1*9 = 36[/tex][tex]i\sqrt{ 36 -5^2}[/tex] = [tex]\sqrt{-5^2 + 36} = i\sqrt{11}[/tex][tex]5^2 = 25 = \sqrt{-25 + 36}[/tex]Add/subtract the numbers [tex]-25 +36 = 11 = \sqrt{11} = \sqrt{11}i[/tex]Step 3: Separate the solution
[tex]x_{1} = \frac{-5 + \sqrt{-11}i}{2} , x_{2} = \frac{-5 - \sqrt{-11}i}{2}[/tex]Answer:
[tex]\large {\textsf{A and F}}\ \implies \bold{x_1}=\dfrac{-5-\sqrt{-11}}{2},\ \bold{x_2}=\dfrac{-5+\sqrt{-11}}{2}[/tex]
Step-by-step explanation:
Quadratic Formula: [tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
Standard Form of a Quadratic Equation: ax² + bx + c = 0, where a ≠ 0.
Given polynomial: x² + 5x + 9
⇒ a = 1, b = 5, c = 9
Step 1: Rewrite to Standard Form.
⇒ x² + 5x + 9 = 0
Step 2: Substitute the values of a, b, and c into the formula.
⇒ a = 1, b = 5, c = 9
[tex]x=\dfrac{-5\pm\sqrt{\bold{5^2}-4\bold{(1)(9)}}}{\bold{2(1)}}\\\\x=\dfrac{-5\pm\sqrt{25\bold{\ - \ 4(9)}}}{2}\\\\x=\dfrac{-5\pm\sqrt{\bold{25-36}}}{2}\\\\x=\dfrac{-5\pm\sqrt{-11}}{2}[/tex]
Step 3: Separate into two possible cases.
[tex]x_1=\dfrac{-5-\sqrt{-11}}{2}\\\\x_2=\dfrac{-5+\sqrt{-11}}{2}[/tex]
Other examples:
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Which of the following angles are congruent?
L
»
M
0
»
O
ZMOL = ZMON
O ZMNO = ZLOK
OZLKO ZNMO
K
N
Answer:
LKO = NMO
Step-by-step explanation:
This is because both of the angles lie on the same "vertical angle", the line segment that connects M to K. The segment MN is also parallel to segment LK. If you have two congruent line segments, then the measure of the angles are congruent.
2*2+2+2+2+2+2+2+22+2+22+2222+222+22+22+222+22+22
Answer:
Step-by-step explanation:
2,816 lol
Graph: y - 3 = (x + 2)
Answer:
Step-by-step explanation:
See attached graph.
Kimberly loves science and just subscribed to KiwiCo, a company that delivers STEAM kits to students to build and create
things at home! KiwiCo charges a subscription fee of $16.99 for each of its members. KiwiCo had 300 subscribers in March.
In April, 50 new people subscribed to KiwiCo, and 23 people canceled their subscriptions. How much more money did
KiwiCo earn from subscriptions in April?
The KiwiCo earn money from subscriptions in April would be $5555.73.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
KiwiCo charges a subscription fee of $16.99 for each of its members.
$16.99 per 1 person
KiwiCo had 300 subscribers in March.
In April, 50 new people subscribed to KiwiCo, and 23 people canceled their subscriptions.
300 + 50 = 350 - 23 = 327
So,
327×$16.99= 5555.73
Hence, The KiwiCo earn money from subscriptions in April would be $5555.73.
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two ships leave a port sailing 18km/h and 26 km/h. Their angle between their directions of travel from the port is 39 °. How far part are the skips to the nearest km after 2 hours
Which rule can be used to describe the x-coordinates in the translation below ?
Answer:
The translation is [tex]X+0[/tex]
Step-by-step explanation:
A translation means the transformation that moves every point in a figure at the same distance in the same direction.
The translation can be described using words like moved up 3 and over 5 to the left or with the notation.
As for the given, there can be no rule described. so the translation is [tex]X+0[/tex]
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The translation is [tex]X+0[/tex]
A translation means the transformation that moves every point in a figure at the same distance in the same direction.
The translation can be described using words like moved up 3 and over 5 to the left or with the notation.
As for the given, there can be no rule described. so the translation is[tex]X+0[/tex]
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whats the answer 2 1/3 x 1 2/5
Answer:
84/5 should be the answer
Step-by-step explanation:
cross multiply
what does X equal to in this equation
Answer:
17
Step-by-step explanation:
5x+5x+10=180
10x=170
x=17
Answer:
Answer is 17
Step-by-step explanation:
It is done in this step
5x +5x+10=180
10x=170
x=17
A bakery makes and sells designer cakes. The function d (x) = 125€ represents
the income, in dollars, from selling a cakes. The function p (y) = y - 1620
represents the monthly profit, in dollars, if the bakery makes y dollars in income for
the month. What is the profit from selling 30 designer cakes in a single month?
The profit from selling 30 designer cakes in a single month is; $2130.
What is the profit for selling 30 cakes in a month?It follows from the task content that the income function as given is; d(x) = 125 × a.
Hence, when 30 designer cakes are sold, thee income is; 125 × 30 = 3750$.
The profit which is a function of the income y is given as; p (y) = y - 1620.
On this note, if follows that the profit is; p (y) = 3750 - 1620 = $2130.
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Which term best describes the horizontal cross-sections of an oblique cone?
O A. Congruent discs
OB. Similar discs
OC. Similar polygons
O D. Congruent polygons
Answer:
B. Similar discs
Step-by-step explanation:
Definitions
Cone: A three-dimensional solid figure that has a circle at one end (the "base"), a point at the other end (the [tex]\sf a\:\!pex[/tex]), and a curved side.
Right Cone: A cone where the [tex]\sf a\:\!pex[/tex] is aligned on the center of the base.
Oblique Cone: A cone where the [tex]\sf a\:\!pex[/tex] is not centered over the base.
Horizontal Cross-section: The intersecting plane parallel to the base of the solid figure.
Congruent: The same shape and size.
Similar: When one shape can become the other after being resized, reflected, translated or rotated.
Disc: The region in a plane bounded by a circle.
Polygon: A two-dimensional closed shape with a minimum of 3 straight sides.
Therefore, the horizontal cross-sections of an oblique cone are similar discs.