[tex]\huge\textbf{Hey there!}[/tex]
[tex]\mathsf{ASSUMING: }\\\mathsf{22\times90}\\\mathsf{= 90 \times 22}\\\mathsf{= 1,980}[/tex]
[tex]\mathsf{ASSUMING: }\\\mathsf{2 + 2 + 3 + 3 + 3 + 3}\\\mathsf{= 2\times 2 + 3\times4}\\\mathsf{= 4 + 12}\\\mathsf{= 16}[/tex]
[tex]\huge\textsf{Answer \#1. 1,980 }\huge\checkmark\\\\\\\huge\textsf{Answer \#2. 16 }\huge\checkmark[/tex]
[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
The dot plots below show the ages of students belonging to two groups of painting classes:
A dot plot shows two divisions labeled Group A and Group B. The horizontal axis is labeled as Age of Painting Students in years. Group A shows 1 dot at 9, 7 dots at 10, 8 dots at 15, 8 dots at 17, and 6 dots at 19. Group B shows 6 dots at 10, 5 dots at 14, 6 dots at 18, 5 dots at 25, 4 dots at 28, and 4 dots at 29.
Based on visual inspection, which group most likely has a lower mean age of painting students? Explain your answer using two or three sentences. Make sure to use facts to support your answer.
Answer:
The group that is most likely able to have a lower mean age of painting students is Group A
Step-by-step explanation:
mean = sum of all terms divided by total number of terms
Looking at the graph data you have provided you can see that group A's students are a younger than students in Group B.
Which means when you calculate the mean the group which would give you the lower ratio with the same denominator of K (let there is K number of students in the class) will have lower mean age
here group A students are younger therefore their ratio will be lower
hence lower mean age
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What is the sum? startfraction 2 over x squared endfraction startfraction 4 over x squared endfraction
Answer:
6/x²
Step-by-step explanation:
Rational expressions are added the same way numerical fractions are added. Their sum is the quotient of the sum of numerators, and the common denominator.
__
fraction sumThe given fractions already have the same denominator, so we simply add their numerators.
[tex]\dfrac{2}{x^2}+\dfrac{4}{x^2}=\dfrac{2+4}{x^2}=\boxed{\dfrac{6}{x^2}}[/tex]
A stretch by a factor of 2 for the exponential growth function f(x)= a(nine-fourths) superscript x occurs when a = . a stretch by a factor of eleven-thirds for the exponential decay function f(x)= a(three-fifths) superscript x occurs when a = . a shrink by a factor of one-third for the exponential growth function f(x)= a(7)x occurs when a = . a shrink by a factor of two-fifths for the exponential decay function f(x)= a(two-ninths) superscript x occurs when a = .
Answer: A stretch by a factor of 2 for the exponential growth function f(x)= a(9/4)^x occurs when a =✔ 2
A stretch by a factor of 11/3 for the exponential decay function f(x)= a(3/5)^x occurs when a =✔ 11/3
A shrink by a factor of 1/3 for the exponential growth function f(x)= a(7)^x occurs when a =✔ 1/3
A shrink by a factor of 2/5 for the exponential decay function f(x)= a(2/9)^x occurs when a =✔ 2/5
Step-by-step explanation:
The exponential growth equation is stretched and compressed by a scale factor k = 2 , 11/3 , 1/3 and 2/5
What is exponential growth factor?The exponential growth or decay formula is given by
x ( t ) = x₀ × ( 1 + r )ⁿ
x ( t ) is the value at time t
x₀ is the initial value at time t = 0.
r is the growth rate when r>0 or decay rate when r<0, in percent
t is the time in discrete intervals and selected time units
Given data ,
Let the exponential growth equation be represented as A
Now , the value of A is
For the exponential growth function f(x)= a(9/4)ˣ, a stretch by a factor of 2 occurs when a = 2
For the exponential decay function f(x)= a(3/5)ˣ, a stretch by a factor of 11/3 occurs when a = 11/3
For the exponential growth function f(x)= a(7)ˣ, a shrink by a factor of 1/3 occurs when a = 1/3
For the exponential decay function f(x)= a(2/9)ˣ, a shrink by a factor of 2/5 occurs when a = 2/5
Hence , the exponential equation is solved
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Find the accumulated amount of an account if the principal amount was 5000 at 16% interest at the end of 3 years
Answer:
2400
Step-by-step explanation:
Find the accumulated amount of an account if the principal amount was 5000 at 16% interest at the end of 3 years
Solution
The formula for simple interest
S.I = P *R* T/100
Where P = Principal = 5000
R = Rate = 16%
T = Time = 3 years
5000 * 16 * 3/100
50 * 16 * 3
= 2400.
What is the solution to –2(8x – 4) < 2x + 5?
x > x is greater than StartFraction 1 Over 6 EndFraction.
x < x is less than StartFraction 1 Over 6 EndFraction.
x > 6
x < 6
The solution to the inequality, -2(8x – 4) < 2x + 5, is: B. x > 1/6.
How to Find the Solution of an Inequality?To find the solution to an inequality, solve the inequality to isolate the variable.
Given the inequality, -2(8x – 4) < 2x + 5, open the bracket:
-16x + 8 < 2x + 5
Combine like terms
-16x - 2x < -8 + 5
-18x < -3
Divide both sides by -18 then reverse < to >
-18x/-18 > -3/-18
x > 1/6
The solution is: B. x > 1/6
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I'm just confused. I know we've learnt this before but I just forget. I'm doing one of the review sheets before our exam tomorrow. If you could help me out that would be great
Answer:
b. y= 4x-34.
Step-by-step explanation:
We can use the information in the problem to make an equation in slope-intercept form (y=mx+b).
Steepness typically means the slope of the graph, thus m=4.
This means we can automatically cross out "a" and "c", which leaves us with "b" and "d" as possible answers.
Next, I will plug in the given point (8, -2) into "b" and "d".
b. y=4x-34
-2=4(8)-34
-2=32-34
d. y=4x+34
-2=4(8)+34
-2 does not equal 66
Thus, the answer is b. y= 4x-34.
What is the difference between -5 and 3?
Answer:
8
Step-by-step explanation:
3 - -5 = 8
filling space here dont mind this
Solve.
2/3x +5/6 = 3 1/3
Enter your answer as a mixed number in simplest form in the box.
Answer:
[tex]x=\frac{15}{4}=3\frac{3}{4}[/tex]
Equation:
[tex]\frac{2}{3}x+\frac{5}{6} =\frac{10}{3}[/tex]
Step-by-step solutionLinear equations with one unknown_____________________________________
1. Group all constants on the right side of the equation
[tex]\frac{2}{3}\cdot x+\frac{5}{6}=\frac{10}{3}[/tex]
Subtract [tex]5/6[/tex] from both sides:
[tex]\frac{2}{3}x+\frac{5}{6}-\frac{5}{6}=\frac{10}{3}-\frac{5}{6}[/tex]
Combine the fractions:
[tex]\frac{2}{3}\cdot x+\frac{5-5}{6}=\frac{10}{3}-\frac{5}{6}[/tex]
Combine the numerators:
[tex]\frac{2}{3}\cdot x+\frac{0}{6}=\frac{10}{3}-\frac{5}{6}[/tex]
Reduce the zero numerator:
[tex]\frac{2}{3}\cdot x+0=\frac{10}{3}-\frac{5}{6}[/tex]
Simplify the arithmetic:
[tex]\frac{2}{3}\cdot x=\frac{10}{3}-\frac{5}{6}[/tex]
Find the lowest common denominator:
[tex]\frac{2}{3}\cdot x=\frac{10\cdot 2}{3\cdot 2}+\frac{-5}{6}[/tex]
Multiply the denominators:
[tex]\frac{2}{3}\cdot x=\frac{10\cdot 2}{6}+\frac{-5}{6}[/tex]
Multiply the numerators:
[tex]\frac{2}{3}\cdot x=\frac{20}{6}+\frac{-5}{6}[/tex]
Combine the fractions:
[tex]\frac{2}{3}\cdot x=\frac{20-5}{6}[/tex]
Combine the numerators:
[tex]\frac{2}{3}\cdot x=\frac{15}{6}[/tex]
Find the greatest common factor of the numerator and denominator:
[tex]\frac{2}{3}\cdot x=\frac{5\cdot 3}{2\cdot 3}[/tex]
Factor out and cancel the greatest common factor:
[tex]\frac{2}{3}\cdot x=\frac{5}{2}[/tex]
2. Isolate the x
[tex]\frac{2}{3}\cdot x=\frac{5}{2}[/tex]
Multiply both sides by inverse fraction 3/2:
[tex]\frac{2}{3}x\cdot \frac{3}{2}=\frac{5}{2}\cdot \frac{3}{2}[/tex]
Group like terms:
[tex]\frac{2}{3}\cdot \frac{3}{2}x=\frac{5}{2}\cdot \frac{3}{2}[/tex]
Simplify the fraction:
[tex]x=\frac{5}{2}\cdot \frac{3}{2}[/tex]
Multiply the fractions:
[tex]x=\frac{5\cdot 3}{2\cdot 2}[/tex]
Simplify the arithmetic:
[tex]x=\frac{15}{2\cdot 2}[/tex]
Simplify the arithmetic:
[tex]x=\frac{15}{4}[/tex]
______________________
Why learn this
Linear equations cannot tell you the future, but they can give you a good idea of what to expect so you can plan ahead. How long will it take you to fill your swimming pool? How much money will you earn during summer break? What are the quantities you need for your favorite recipe to make enough for all your friends?
Linear equations explain some of the relationships between what we know and what we want to know and can help us solve a wide range of problems we might encounter in our everyday lives.
__________________________
Terms and topics
Linear equations with one unknownAnswer: 3 3/4
Step-by-step explanation: i took the test (sorrry i cant tell why, im bad at explaining)
What is the value of k?
Answer:
The value of K in free space is 9 × 109
Step-by-step explanation:
In a group of 20 pupils, 3 play the flute only.
6 play the piano only.
6 play both instruments.
A student is chosen at random.
What is the probability the student plays neither instrument?
Please answer in fractional form!!
Answer:
[tex]\dfrac{1}{4}[/tex]
Step-by-step explanation:
Given information:
Total number of pupils = 203 pupils play the flute6 pupils play the piano only6 play both instrumentsWe can assume that 3 pupils play the flute only as we have also been told that 6 pupils play both instruments.
To calculate the probability that a randomly chosen pupil plays neither instrument, first determine how many pupils do not play an instrument by subtracting the number of pupils who do play an instrument from the total number of pupils:
⇒ total number of pupils - pupils who play instruments
⇒ 20 - (3 + 6 + 6)
⇒ 20 - 15
⇒ 5
Therefore, 5 pupils do not play the piano and/or flute.
To calculate probability:
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
Therefore:
[tex]\implies \textsf{Probability of a pupil playing neither instrument} = \dfrac{5}{20}=\dfrac{1}{4}[/tex]
help please help me i beg you
I think it's C but also not completely sure good luck
A point P is 45km from Q in a bearing of 75⁰ how far is P north of Q
Answer:
11.65
Step-by-step explanation:
45 cos 75 (in degrees not radians) =
11.6468570296
jiskha
raka
Unit 2 Show Your Work, BYU Geometry Part 1
The true statements about ∠MJK and ∠MJL are
The sum of the two angles is 180 degreesJK and JL are opposite raysJK and JL form a straight lineHow to determine the true statements?The statement is given as:
∠MJK and ∠MJL are a linear pair of angles and the angles are also supplementary
As a general rule, linear pair angles are adjacent angles that add up to 180 degrees. This means that:
They are supplementary anglesThey have a sum of 180 degreesThe angles may or may not be congruentThey have opposite rays i.e. straight lineThe above means that, the following options are true:
(e), (f) and (h)
Also, the converse of the statement is:
∠MJK and ∠MJL are supplementary angles and the angles are also linear pair of angles
This is false because not all supplementary angles are linear pair angles
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What is the polynomial function of lowest degree with lead coefficient 1 and roots i, –2, and 2?
Answer:
x^4 - 3x^2 - 4.
Step-by-step explanation:
Imaginary roots occur as conjugate pairs so a 4th roots is -i.
So in factor form we have:
f(x) = (x - 2)(x + 2)(x - i)x + i)
= (x^2 + 1)(x - 2)(x + 2)
= (x^2 + 1)(x^2 - 4)
= x^4 - 3x^2 - 4.
Answer:b.f(x) = x^4 – 3x^2 – 4
Step-by-step explanation:
is 1/-1x equivalent
Answer:
[tex]\huge\boxed{\dfrac{1}{-1x}=-\dfrac{1}{1x}=-\dfrac{1}{x}=-x^{-1}}[/tex]
help please
Find the sum or type
"impossible"
[3 -8] + [4 -5 -6]
Write the quadratic equation whose roots are 3 and -3, and whose leading coefficient is 3.
(Use the letter x to represent the variable.)
The quadratic equation is 3x² - 27.
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x ax²+bx+c=0. with a ≠ 0 .
Given:
The roots are 3 and -3
We have
α= 3 and β=-3
So,
α+β = -b/a and αβ = c/a
α+β = 0 =-b/a and αβ= -9 = c/a
Comparing from above
a=1, b= 0 and c=-9
Also, the leading coefficient is 3.
Then the quadratic equation is,
= 3(ax² + bx + c)
= 3( x² +0x- 9)
Hence, the quadratic equation is 3x² - 27.
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NEED HELP TODAY PLEASE solve 4(2/5x+7)=−8−4/5x show your work
Answer:
x = -15
Step-by-step explanation:
4 /3 r/ 6 start fraction, 3, divided by, 4, end fraction, equals, start fraction, 6, divided by, r, end fraction r =
The value of r is 6
Given start fraction and end fraction are 4/3,r/6 and 3 divided by 4 end fraction which is equal to start fraction 6 divided by r end fraction
We need to calculate the value of r
Fractions are used to depict the components of a whole or group of items. Two components make up a fraction. The numerator is the number that appears at the top of the line.
It indicates how many equally sized pieces of the entire thing or collection were removed. The denominator is the quantity listed below the line. The total number of identical objects in a collection or the total number of equal sections that the whole is divided into are both displayed
According to the statement the equation formed
4/3*r/6*3/4 = 6/r
Solving the equation by 4/3*3/4 = 1
Hence 1*r/6 = 6/r
Therefore r^2 = 36
r = 6
Hence the value of r is 6
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If M is the midpoint in the figure, find MQ and PQ.
Answer:
pm = 4
M is the mid point of PQ which means that pm = mq
so MQ = 4
PQ = PM + MQ
= 4 + 4
= 8
Justin and elena each launched a toy rocket into the air. the height of justin’s rocket is modeled by the equation h = –16t2 60t 2. elena launched his rocket from the same position, but with an initial velocity double that of justin’s. which equation best models the height of elena’s rocket? h(t) = at2 vt h0 h = –16t2 60t 4 h = –32t2 120t 4 h = –32t2 60t 2 h = –16t2 120t 2
What is the scale factor of this dilation?
Answers:
A. 1/2
B.3/5
C.1 2/3
D.2
Answer:
3/5
Step-by-step explanation:
scale factor of ab to A'B'
AB:A'B'
5 : 3
in fraction the scale
factor is 3
—
5
heance a reduction.
hope it helps thank me later
#galadohannadivine29
#carry on learning
Graph the function.
For the function whose graph is shown below, which is the correct formula for the function?
Answer:
[tex]\displaystyle{y=-3x-1}[/tex]
Step-by-step explanation:
I have two methods: standard-learning which will explain overall mathematically - basically formula, etc. - while the other one trick-tips method will rely on choices rather mathematical calculations but with explanation on why and how.
Standard-LearningFirst, let’s pick two points that are integers since they are easily to be found via graphs. We see that (-1,2) and (0,-1) is a part of the graph so now we finally have picked two points for our calculations.
When we have finally picked two points, we will be using them for slope calculation. This part is crucial for finding an equation of a line because a line has to contain slope in its equation.
To calculate the slope, we use rise over run formula which is:
[tex]\displaystyle{\dfrac{\Delta y}{\Delta x} = \dfrac{y_2-y_1}{x_2-x_1}}[/tex]
Note that [tex]\displaystyle{\Delta}[/tex] is delta - in both mathematic and physics, it means changes in.
So, we will be using those two points that we have picked to substitute in the slope formula. Let’s determine that [tex]\displaystyle{(x_2,y_2)=(-1,2)}[/tex] and [tex]\displaystyle{(x_1,y_1)=(0,-1)}[/tex].
Therefore, our slope will be:
[tex]\displaystyle{m=\dfrac{2-(-1)}{-1-0}}\\\\\displaystyle{m=\dfrac{2+1}{-1}}\\\\\displaystyle{m=-3}[/tex]
Next, find the y-intercept. From the graph, we see that the graph intercepts at (0,-1) which is y-intercept so we will only use y-value. Hence, b = -1.
From the slope-intercept form:
[tex]\displaystyle{y=mx+b}[/tex]
Substitute m (slope) = -3 and b (y-intercept) = -1. Hence, the equation of line is:
[tex]\displaystyle{y=-3x-1}[/tex]
Fast Way (Trick-Tips)Relying on choices and knowledge of graph, notice that there are slopes of 3 and -3.
Keep in mind that if slope is negative, it will decrease down and if slope is positive, it will increase up.
Therefore, cut off all choices with positive slopes which are 1 and 3. We are now left with 2 and 4.
Next, look at the graph and tell its y-intercept. It intercepts y at y = -1 so we take value of -1.
So choice 4 is cut off and now we have choice 2 as the answer.
Learn More:
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Find the next two terms in this
sequence.
1, -3, 9, -27, 81, [?],
-243
Step-by-step explanation:
số dương nhân -3 thì đc số âm, số âm nhân với -3 để đc số dương.
vd: 1. -3 = -3 ; -3 .-3= 9 ;..... 81 . -3= -243
Answer:
all once will product the term by mines 3
so the final will bt -3 *81 = -243
PLEASE HELP!!!
Part A: Solve the equation 4(x + 5) = 9x + 4x − 34, and show your work. (5 points)
Part B: Use this list of properties to justify each step of your math work. Justifications may be used more than once if needed. (5 points)
Distributive Property
Subtraction Property of Equality
Combine Like Terms
Multiplication Property of Equality
Division Property of Equality
Given
Addition Property of Equality
Answer:
See below
Step-by-step explanation:
4(x + 5) = 9x + 4x − 34
4x + 20 = 9x + 4x − 34 [Distributive]
4x + 20 = 13x − 34 {Combine Like Terms]
4x - 13x + 20 = 13x - 13x − 34 [Subtractive: -13x both sides]
-5x + 20 = - 34 [Combine Like Terms]
-5x + 20 - 20 = -34 - 20 [Subtractive: - 20 both sides]
-5x = -54 [Combine Like Terms]
x = -54/-5 [Division Property: divide both sides by -5]
x = - 10 4/5
Solve and show your work for each equation.
What is 0.36... (36 repeating) expressed as a fraction in its simplest form?
What is 0.36... (6 repeating) expressed as a fraction in its simplest form?
Answer:
The answer will be 9/25.
Please mark me as the brainliest.
Please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! i will give u brainliest
Answer: The answer is x = +/- [tex]\sqrt{y+1}[/tex].
Step-by-step explanation: You can solve this by simply rearranging the equation to make x by itself.
-[tex]x^{2}[/tex] = -y - 1
Then cancel out the -1 by dividing it through to obtain.
[tex]x^{2} =y+1[/tex]
The final step is to square root both sides to get rid of the exponent.
x = [tex]\sqrt{y+1}[/tex]
This should be the answer since square roots have a +/-.
If point d is placed on AC how will the measure of DAB relate to the measure of CAB
Angle DAB will be equal to angle CAB
What is trigonometry?
Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.
AC is a straight line and forms one of the sides of the triangle ABC. If point D is placed on line AC, angle DAB would remain equal to angle CAB since they are on the same line the angle formed with line AB remains the same.
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Julie invests money in an account that pays compound intrestof 5% per annum after 3 years julie has 2778.30 how much did julie initially invest
Answer:
[tex]\huge\boxed{2400}[/tex]
Useful Information:
The formula for compound interest is: [tex]initial.amount*interest.rate^{no.years}[/tex]
Step-by-step explanation:
To work this out, you would first have to convert the percentage into a decimal. You can do this by dividing the percentage of 5% by 100, which gives you 0.05. This is because percentages are out of 100.
The next step is to add 1 to 0.05, this gives you 1.05. This is because you are working out the percentage increase.
The next step is to substitute the values into the formula. This gives you[tex]initial.amount*1.05^{3}=2778.30[/tex]
To work out the initial value, you would divide the final amount of 2778.30 by [tex]1.05^3[/tex], which gives you 2400. This is because you are rearranging the formula to find the initial investment.
1) Divide 5 by 100.
[tex]\frac{5}{100}=0.05[/tex]
2) Add 1 to 0.05.
[tex]1+0.05=1.05[/tex]
3) Substitute the values into the formula.
[tex]initial.amount*1.05^{3}=2778.30[/tex]
4) Divide 2778.30 by [tex]1.05^3[/tex].
[tex]\frac{2778.30}{1.05^3}=2400[/tex]
Easy Problem for you guys to solve!
The measure of an angle is 10 more than two-thirds of that of its complement. Find the angle and its complement.