Answer: its just 12 because a is just a variable
Step-by-step explanation: so like 5 - 7n its just 5 - 7 which in 2 so 12a is just 12
Answer:
-79
Step-by-step explanation:
an=5-7n This is the given equation
Now, we substitute 12 for n and do the equation
a(12)=5-7(12)
a(12)=5-84
a(12)=-79 This is our answer, negative 79
The magnitude $M$ of an earthquake is measured using the formula $M=\log(\frac{x}{c})$ , where $x$ is the measured amplitude of a seismic wave and $c$ is the reference amplitude of one micron. Two earthquakes are measured. The amplitude of a seismic wave in the first earthquake is 15 times the amplitude of a seismic wave in the second earthquake. How much greater is the magnitude of the first earthquake than the second earthquake? Round your answer to the nearest hundredth.
Answer:
1.18
Step-by-step explanation:
Given the Magnitude of an earth quake model :
M = log(x/c)
x = measured amplitude ; c = reference amplitude
Amplitude of seismic wave in first earthquake = 15 amplitude of seismic wave in second
Let amplitude of seismic wave in first earthquake = x1
amplitude of seismic wave in second earthquake = x2
x1 = 15 * x2 = 15x2
Hence ;
1st earthquake magnitude :
M1 = log(a/c)
2nd earthquake magnitude :
M2 = log(15a/c)
M1 - M2
Log(x1/c) - log(x2/c)
Using the quotient rule
Log(x1) - log(c) - [log(x2) - log(c)]
Log(x1) - log(c) - log(x2) + log(c)
Log(x1) - log(x2)
Substituting x1 = 15x2
Log(x1) = log(15x2)
Seperating using product rule:
Log(x1) = log(15*x2) = log(15) + log(x2)
Hence,
log(15) + log(x2) - log(x2)
Log(15) - 0
= 1.1760
= 1.18 (nearest hundredth)
PLEASE HELP! IM IN 8TH AND I NEED SOMEONE TO EXPLAIN <3
Answer:
can u help me then i will help u:/
Step-by-step explanation:
Answer:
y=10x+35
so for 4 yoga classes, it is $75
so for 8 yoga classes, it is $115
so for 12 yoga classes, it is $155
Step-by-step explanation:
So 35 is only a one-time payment and it is over so we just add 35, but $10 is the rate of change depending on how much yoga class you have been into so the equation will be y=10x+35
Explanation for 4 yoga classes: y=10(4)+35 which is 75
Explanation for 8 yoga classes: y=10(8)+35 which is 115
Explanation for 12 yoga classes: y=10(12)+35 which is 155
Hope this helps!
What is the measure of the indicated angle?
Answer:
The measure of the indicated angles is 62°.
Reason: vertical angles
Alvin and Simon shared £540 in the ratio 4:5. Alvin gave half of his share to Theo. Simon gave a tenth of his share to Theo. What fraction of the £540 did Theo receive.
Answer:
[tex]\frac{5}{18}[/tex]
Step-by-step explanation:
sum the parts of the ratio, 4 + 5 = 9 parts
Divide the amount by 9 to find the value of one part of the ratio
£540 ÷ 9 = £60 ← value of 1 part of the ratio , thus
4 parts = 4 × £60 = £240 ← Alvin's share
5 parts = 5 × £60 = £300 ← Simon's share
[tex]\frac{1}{2}[/tex] × £240 = £120
[tex]\frac{1}{10}[/tex] × £300 = £30
Theo receives £120 + £30 = £150 , which as a fraction is
[tex]\frac{150}{540}[/tex] ( divide numerator/ denominator by 30 )
= [tex]\frac{5}{18}[/tex] ← in simplest form
Help me pls i need this to get through my homework
Answer:
x is greater than negative 4, and less than or equal to 5
Step-by-step explanation:
Answer: X is greater than negative 4 and less than 5
Step-by-step explanation: The line is from -4 to 5, the unfilled dot on top of -4 means the number can't be 4, it must be greater and the filled in dot on 5 means it is equal to or less than 5.
A slope of 2/3 and a y-intercept of -9/7?
Answer:
Slope intercept form:
[tex]y = \frac{2}{3}x - \frac{9}{7}[/tex]
Answer:
y = 2/3x - 9/7
Step-by-step explanation:
If you want the slope intercept form:
y = 2/3x - 9/7
^ ^
slope y-intercept
i need help with this equation
-17 = -7c + 4
Answer: c = 3
Step-by-step explanation:
Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below.
Step 1: Subtract 4 from both sides.
-17 - 4 = -7c
Step 2: Simplify -17 - 4 to -21.
-21 = 7c
Step 3: Divide both sides by -7.
[tex]\frac{-21}{-7}[/tex] = c
Step 4: Two negatives make a positive.
[tex]\frac{21}{7}[/tex] = c
Step 5: Simplify [tex]\frac{21}{7}[/tex] to 3.
3 = c
Step 6: Switch sides.
c = 3
~I hope I helped you! :)~
The area of a rectangular garden is 105 ft^2. Find the length if the width is 7ft.
Answer:
[tex] \huge{ \bold{ \boxed{ \tt{15 \: ft}}}}[/tex]
Step-by-step explanation:
[tex] \text{Given} : [/tex]
[tex] \rm{Area \: of \: a \: rectangular \: garden \: = 105 \: {ft}^{2} }[/tex]
[tex] \rm{Width\: of \: a \: rectangular \: garden \: = \: 7 \: ft}[/tex]
[tex] \underline{ \rm{Finding \: the \: length \: of \: a \: rectangular \: garden}} : [/tex]
[tex] \boxed{ \rm{Area \: of \: a \: rectangle \: = \: Length \: \times \: Width}}[/tex]
[tex] \rm{➳ \: 105 = 7 \: Length}[/tex]
[tex] \rm{➳ \: 7 \: Length \: = 105}[/tex]
[tex] \rm{➳ \: \frac{7 \:Length}{7} = \frac{105}{7} }[/tex]
[tex] ➳ \boxed{ \rm{ \: Length \: = \: 15 \: ft}}[/tex]
[tex] \text{The \: Length \: of \: a \: rectangular \: garden \: is \boxed{ \rm15 \: ft}}.[/tex]
[tex] \text{Hope \: I\: helped!}[/tex]
[tex] \rm{Best \: regards!}[/tex]
~[tex] \text{TheAnimeGirl}[/tex]
In the figure below, OS=ST and the coordinates of T are (k, 5). What is the value of K?
F. -5
G. -3
H. - 2
J. 0
K. 5
SHOW EXPLANATION
Answer:
Option (K)
Step-by-step explanation:
From the figure attached,
Coordinates of the point T(x, y),
x-coordinate shows the distance (ST) of point T horizontally from origin and y-coordinate show the vertical distance (OS) of point T from the origin.
If OS = ST, x and y coordinates should be same in measure.
For the point (k, 5),
OS = 5 and ST = k
Since, OS = ST,
Therefore, k = 5
Option (K) will be the correct option.
Triangle R S Q is shown. Angle R S Q is cut by perpendicular bisector l through point S and through midpoint T. The length of line segment R T is x, the length of line segment T Q is 8, the length of line segment Q S is 10, and the length of line segment R S is 10. What is the length of segment TR?
Answer:
RT = 8
Step-by-step explanation:
The given parameters for the triangle are;
The vertices of the given triangle = RSQ
The point on the perpendicular bisector = Pont S and T
The length of the line segment RT = x
The length of the line segment TQ = 8
The length of the line segment QS = 10
The length of the line segment RS = 10
Given that I is a perpendicular bisector that passes through the vertex S, we have;
The line I bisects the segment RQ at point T into equal segments TQ and TR
Therefore, TQ ≅ TR and we have TQ = TR = 8
TR = 8
TR = RT (reflexive property)
Therefore; RT = 8.
Answer:
RS = 12
Step-by-step explanation:
if your question is asking for RS
parallel to the line x-2y=-5 containing the point (0,4)
Answer:
y = x/2 + 4
Step-by-step explanation:
When you are trying to find the line which is parallel to the first line, remember that the second line would have the SAME GRADIENT as the first line.
Two points are plotted on the number line.
Answer:
-2/3+1/3= - 1/3
Step-by-step explanation:
if you look at the number line you just go once to the right
is 48 a perfect cube? why?
Answer:
yes, because it is an even number
Step-by-step explanation:
Answer:
So the square of 48 is not perfect square
Step-by-step explanation:
The graph shows the cost of a lunch in a school’s cafeteria since school started.
Which is correct about the graph’s slope?
Its slope is positive.
Its slope is negative.
Its slope is zero.
It has no slope.
Answer: It's slope is zero
Step-by-step explanation:
Answer:
the slope is zero
Step-by-step explanation:
it is going straight
A package of 6 insulated gloves cost $50.94. what is the unit price of the pair of gloves.
Answer:
i think your answer would be $8.49 for a pair of gloves.
Step-by-step explanation:
50.94 / 6 = 8.49
Evaluate the expression.
17 * (-12 + 10)?
Answer:
-34
Step-by-step explanation:
Patty's Pies made 2 peach pies using 10 cups of peaches. They made 3 pies using 15 cups of peaches and 4 pies using 20 cups of peaches. Predict how many cups of peaches would be needed to make 9 pies. Explain.
6^4*6^3 equivalent equation
Equation Given:
6⁴×6³
Step by step explanation:
Step 1:
[tex] {6}^{4} \times {6}^{3} [/tex]
Step 2:
[tex] = 1296 \times 216[/tex]
Step 3:
[tex] = 279936✓[/tex]
Answer:
[tex]{\huge{\pink{\underline{\underline{Question:}}}}}[/tex]
[tex]{6}^{4} \times {6}^{3} [/tex]
[tex]{\huge{\pink{\underline{\underline{Solution:}}}}}[/tex]
[tex] {6}^{4} \times {6}^{3}\\
=>{6}^{(4 + 3)} \\
=>{6}^{7}\\
=>6×6×6×6×6×6×6\\
=>36×36×36×6\\
=>279936\ is\ answer..[/tex]
You have five quarts of paint it takes 5/8 quarts to paint each chair you are asked to paint how many chairs can u paint
Answer:
8 chairs
Step-by-step explanation:
5 quarts= 40/8 quarts
1 chair= 5/8 quarts
40/8-5/8x=0
(-40/8)/(-5/8)=x
8 chairs
Determine 2 additional fractions that would reduce to one fourth?
Answer:
2/8, 4,16
Step-by-step explanation:
What is the slope between point A (-9, 4) and B ( 3, -2)
I NEED HELP ASAP
a)1/2
b)-1/2
c)2
d)-2
e)3/2
Slope can be calculated using the formula: m= [tex]\frac{y2 - y1}{x2 - x1}[/tex]
y1/x1 represents the first number in the bracket
y2/x2 represents the second number in the bracket
Calculation
m = [tex]\frac{y2 - y1}{x2 - x1}[/tex]
m =[tex]\frac{4 - (-2)}{(-9)-3}[/tex]
m= 6/-12
m= -0.5 or -1/2
Therefore, the answer is B.
What is the second step of a tax/tip/markup problem?
Question 3 options:
A: Adding the Original $ and the Tax/Tip/Markup $
B: Subtracting the Original $ and the Tax/Tip/Markup $
C: Adding the Original $ and the Percent
D: Subtracting the Original $ and the Percent
Answer:
I think it might be C im not sure tho
-4/5 + 33/10 Write your answer as a mixed number in simplest form.
Answer:
2 1/2
Step-by-step explanation:
−45+3310=?
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(-4/5, 33/10) = 10
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(−45×22)+(33/10×11)=?
Complete the multiplication and the equation becomes
−8/10+33/10=?
The two fractions now have like denominators so you can add the numerators.
Then:
−8+33/10=25/10
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 25 and 10 using
GCF(25,10) = 5
25÷5/10÷5=5/2
The fraction
52
is the same as
5÷2
Convert to a mixed number using
long division for 5 ÷ 2 = 2R1, so
52=212
Therefore:
−4/5+33/10= 2 1/2
numbers are (-20,10) and (40,-50)
A researcher found that 55% of families in the United States have one child under the age of 21, 22% have two children under the age of 21, 15% have three children under the age of 21, 5% have 4 children under the age of 21and 3% have 5 or more children under the age of 21. If a family is selected at random, what is the probability the family has 1 or 3 children under the age of 21?
Answer:
67% or 0.67
Step-by-step explanation:
Given that:
P(1 child under age 21) = 55%
P(2 children under age 21) = 22%
P(3 children under age 21) = 15%
P(4 children under age 21) = 5%
P(5 or more children under age 21) = 3%
If a family is selected at random, what is the probability the family has 1 or 3 children under the age of 21?
P(1 or 3 children under age 21):
Either the selected family has 1 child under 21 years of age OR the selected family has 3 children under 21 years of age ;
P(1 child under age 21) + P(3 children under age 21)
= 55% + 15%
= 67% = 0.67
Find the value of x in the equation without evaluating the power
Step-by-step explanation:
a)2^8=256
2^5*2^x=2^8
5+x=8
x=8-5
x=3
b)(1/3)^6
(1/3)^2*(1/3)^x=(1/3)^6
2+x=6
x=6-2
x=4
therefore the value of x in a is 3
and the value of x in b is 4
hope it helps u...pls mark it as the brainliest answer..
a) The value of x is 3
b) The value of x is 5
Powers and indicesGiven the expression [tex]2^5\cdot 2^x = 256[/tex]
Using the law of indices, the equation becomes;
[tex]2^{5+x} = 2^8\\5 + x = 8\\x = 8 -5 \\x = 3[/tex]
Hence the value of x is 3
b)
[tex](\frac{1}{3})^2 \cdot (\frac{1}{3})^x = (\frac{1}{729})\\(\frac{1}{3})^{2+x} =(\frac{1}{729}) \\(\frac{1}{3})^{2+x} =(\frac{1}{3^7}) \\3^{-(2+x)}=3^{-7}\\-2-x = -7\\x = 5[/tex]
Hence the value of x is 5
Learn more on indices here: https://brainly.com/question/10339517
(-3,7) and (8,-6) found distance
Gabriel is raising money for a school trip by selling lollipops and bags of chips. The
price of each lollipop is $1 and the price of each bag of chips is $1.50. Yesterday
Gabriel made $30 from selling a total of 26 lollipops and bags of chips. Graphically
solve a system of equations in order to determine the number of lollipops sold, 2,
and the number of bags of chips sold, y.
Answer:
There will be 2 bags of chips sold
Step-by-step explanation:
A system of equation is a collection of one or more equation involving the same variables.
Now , according to question :
since , he had sold 26 lollipop , then total money he made from lollipop is : 26 * $1 = $26
Let us assume he sold x number of chips
money made from chips = $ 1.50 * x
Total money made : $30 (Given )
equation according to question will be
26 + 1.50 x = 30
x= 2.7
Since , number of packets can never be in decimal hence, rounding off to 2 packets
x= 2
Learn more about system of equation:
https://brainly.com/question/21620502?referrer=searchResults
#SPJ2
What is the slope between the points (3,2) and (-1,10)?
Will mark brainliest
Answer:
m = slope = -2
Step-by-step explanation:
[tex]\frac{y_{2} -y_{1} }{x_{2}-x_{1} } =\frac{10-2}{-1-3} = \frac{8}{-4} = -2[/tex]
Hope this helped! :)
write 125 as a repeated multplication of 5 then write the power
Answer:
5×5×5=5³
Step-by-step explanation:
Answer:
A power, or exponent, represents how many times the term, in this case 5, is multiplied by itself. So multiply 5 by itself until you get 125. Then write your answer as 5ˣ where x is the number of times you multiplied 5 by itself.
Hopefully this helped. Please don't use this platform as a way to get free homework answers. You don't learn anything that way.