Answer:
y = -9/5x + 9/5
Step-by-step explanation:
From this points, we can determine the slope and the y-intercept.
First, we do: y/x - y1/x1
=> 0/3 - (3 - 2)
=> 0-3/ 3 + 2
=> -3/5
So the slope of the equation is -3/5.
The equation is: y = mx + b
In this equation "m" = slope.
=> b = constant
Now we take the x and y points from the above numbers.
=> Let's take 3 as x and 0 as y.
=> 0 = -3/5 *3 + b
=> 0 = -9/5 + b
=> Take the -9/5 to the other side
=> 9/5 = b
So, the constant number which is not multiplied by the x is 9/5
Now, our equation looks like:
y = -9/5x + 9/5
If you have any doubts about this question, ask me the comments and I will answer it as soon as possible.
Which of the following is not a congruence theorem or postulate A. SSA B. SAS C. AAS D. SSS
Answer:ITS A
Step-by-step explanation:
SAS: side angle side
SSA: is not a congruence theorem
AAS:angle angle side
SSS:side side side
Answer:
The answer is A.
Step-by-step explanation:
Just took the test
Dora bought a bottle of nail polish that was marked down by 20 percent from its original price of $4.50. Including a 9 percent sales tax, what is the final cost of the bottle of nail polish?
Answer:
3.92$
Step-by-step explanation:
The first step is to deduct 20% of 4.50 from 4.50.
20% of 4.50 is 0.2 x 4.50 = .90
4.50 - 0.90 = 3.60
That's the new price without the sales tax.
Now we need to add 9% of 3.60 to 3.60 to get the final cost.
9% of 3.60 is .09 x 3.60 = 0.32
3.60 + .32 = $3.92
Hope it helps.. If yes mark me BRAINLIEST
Tysm!
Answer:
$3.92
Step-by-step explanation:
Hello! For this question we need to gather up all the facts before we could answer it!
The original nail polish cost was $4.50
But the bottle was marked down by 20%
Then has a sales tax of 9%
So let's multiply 4.50 x 0.2 = 0.9
With that we need to subtract off of the original price because it is decreasing.
4.50 - 0.9 = 3.60
But that is not the final price because the bottle has a sales tax! We need to multiply the price after the 20% mark down, so, 3.60 x 0.09 = 0.324
And Then because we are dealing with money, we are going to make sure that we are only adding a decimal that goes up to the hundredths place.
Add: 3.60 + 0.32 = 3.92
The Final price of the nail polish that Dora bought would be $3.92. Which is actually a 0.58 cents drop!
I hope this helped!
There are seven roads that lead to the top of a hill. How many different ways are there to reach the top and then go back down?
Answer:
two I have no idea of the question
Answer: 49 ways
Step-by-step explanation: 7 possible ways up, 7 ways down
Up and back on Rt 1, Up on Rt 1 down on Rt2 Up on Rt 1 down on Rt3. . . . . Up on Rt 7, down on Rt7
You can imagine what was left out of the explanation.
Just Multiply 7×7 = 49
Which is the best description of the equivalency of the two expressions? Expression 1 Expression 2 5 x squared minus 2 x minus 4 + 6 x + 3 6 x squared minus 6 x + 6 minus x squared + 10 x minus 7 The two expressions are not equivalent because when x = 2, the two expressions do not have the same value. The two expressions are not equivalent because when they are simplified, they do not have the same coefficients for the x squared and x terms. They are equivalent because the sum of the constants is the same in both expressions. They are equivalent because when x = 2, the two expressions have the same value.
Answer:
The correct option is (D).
Step-by-step explanation:
The two expressions are:
[tex]\text{Exp}_{1}=5x^{2}-2x-4+6x+3\\\\\text{Exp}_{2}=6x^{2}-6x+6-x^{2}+10x-7[/tex]
On simplifying both the expressions we get:
[tex]\text{Exp}_{1}=5x^{2}+4x-1\\\\\text{Exp}_{2}=5x^{2}+4x-1[/tex]
Compute the value of both expressions for x = 2 as follows:
[tex]\text{Exp}_{1}=5(2)^{2}+4(2)-1=27\\\\\text{Exp}_{2}=5(2)^{2}+4(2)-1=27[/tex]
The value of both expressions are same for x = 2.
Thus, the correct option is:
"They are equivalent because when x = 2, the two expressions have the same value."
Answer:
d
Step-by-step explanation:
How much does a composition notebook weigh?
Answer:
11.2 ounces
Step-by-step explanation:
At a store, sales tax is changed at & rare of
2% on the cost price of an item The sales,
tax on a dress which costs $180 is
Answer:
$3.60
Step-by-step explanation:
Convert the percentage to a decimal.
2% = 0.02
Multiply the cost of the dress by the decimal to find the sales tax.
$180 × 0.02 = $3.60
The sales tax $3.60.
Answer:
3.60
Step-by-step explanation:
sales tax = cost * tax rate
= 180 * 2%
= 180 * .02
=3.60
I'm marking good anwsers as brainliest. When solving this system of equations with substitution one of the following is a step. x+y=6, - 6x+8y = 6 -6(-x + 6) + 8y = 6 x+y = 6 -6x+8 (-x + 6) = 6 8y = 6x + 6
Answer:
(C)[tex]-6x+8(-x+6) = 6[/tex]
Step-by-step explanation:
Given the system of equations
[tex]x+y=6 \\-6x+8y = 6[/tex]
From the first equation:
x+y=6
Making y the subject, we have:
y=-x+6
Substituting y=-x+6 into the second equation, we obtain:
[tex]-6x+8(-x+6) = 6[/tex]
The correct option is C.
NOTE: The goal of substitution is to reduce the number of unknown variables to 1. Therefore, after the substitution, if you still have the two unknown, you might have done something incorrect.
Elton is a candle maker. Each 15 \text{ cm}15 cm15, start text, space, c, m, end text long candle he makes burns evenly for 666 hours. If Elton makes a 45 \text{ cm}45 cm45, start text, space, c, m, end text long candle, how long would it burn?
Answer:
18
Step-by-step explanation:
cm 15 -> 14
hours 6 ->?
cm 15 x3->45
hours 6 x3->18
the 45 cm long candle is 3 times as long ,so it would burn for 3 times as long A 45cm long candle would burn for 18 hours
A, B, and C are midpoints of ∆XYZ. What is the length of ? YZ
Answer:
[tex]YZ = 48[/tex]
Step-by-step explanation:
Given
[tex]AB = 24[/tex]
[tex]XZ = 60[/tex]
Required
Find YZ
From the attachment, AB is parallel and equal to YC;
This implies that
[tex]AB = YC = 24[/tex]
Given that C is the midpoint of YZ;
This implies that
[tex]YC = CZ = 24[/tex] and [tex]YZ = YC + CZ[/tex]
Substitute values for YC and CZ
[tex]YZ = 24 + 24[/tex]
[tex]YZ = 48[/tex]
Answer:
48
Step-by-step explanation:
3 ( 1 - 20 ) + 10 = 4
Answer:
3(1 - 20) + 10 = 4
3 * (-19) + 10 = 4
-57 + 10 = 4
-47 = 4
Since the two are not equal, this statement is false/invalid.
Hope this helps!
Solve for p. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions. -31p+79 > -59p+81
Answer:
The answer is
p > 1/14Step-by-step explanation:
-31p+79 > -59p+81
Group like terms
Send the constants to the right side of the expression and those with variables to the left side
That's
- 31p + 59p > 81 - 79
Simplify
We have
28p > 2
Divide both sides by 28
We have the final answer as
p > 1/14Hope this helps you
Please helpppp!!!
Solve: x^2 - 4x-5=0
Answer:
[tex]x=-1,5[/tex]
Step-by-step explanation:
[tex]x^2-4x-5=0[/tex]
In order to solve this quadratic, we have many methods. We can factor, complete the square, or use the quadratic formula. I'm going to factor since it's the easiest method.
To factor, find two numbers that when multiplied equal a(c) and when added equal b.
a=1, b=-4, and c=-5.
So we want two numbers that when multiplied equals 1(-5)=-5 and when added equals -4.
-5 and 1 are the possible numbers. Therefore:
[tex]x^2-4x-5=0\\x^2+x-5x-5=0\\x(x+1)-5(x+1)=0\\(x-5)(x+1)=0\\x=5, -1[/tex]
Martin took 16s to run 120m. What was his speed in m/s ?
Tasha wants to find out if she is going to pass her test. She decides that she will
simulate her test by flipping a coin. This means
a) There is a 50-50 chance she will pass her test.
b) All of the questions are multiple choice.
c) She hasn't studied.
d) There is a 20% chance she will pass.
Answer:
A
Step-by-step explanation:
Since a coin only has two sides, the test must be referring to the fact that she has a 50, 50 shot at passing.
Suppose you place $10,000 in a retirement fund that earns a nominal interest rate of 8 percent. If you expect inflation rate to be 5 percent or lower, then calculate the real interest rate you are expecting to earn.
Answer:
Real interest rate= 3%
Step-by-step explanation:
Giving the following information:
Suppose you place $10,000 in a retirement fund that earns a nominal interest rate of 8 percent. The inflation rate is 5 percent.
The effect of the inflation rate on the interest rate is counterproductive. The inflation rate diminishes purchasing power.
Real interest rate= nominal interest rate - inflation rate
Real interest rate= 0.08 - 0.05= 0.03
A number is 30% of 20% of the number x.
Answer:
6/100x
Step-by-step explanation:
Answer:6/100x
Step-by-step explanation:
The batting Wang Xiu Ying uses to fill quilts has a thermal conductivity rate of 0.030.030, point, 03 watts (\text{W})(W)left parenthesis, start text, W, end text, right parenthesis per meter (\text{m})(m)left parenthesis, start text, m, end text, right parenthesis per degree Celsius (^\circ\text{C})( ∘ C)left parenthesis, degrees, start text, C, end text, right parenthesis. What is the batting's thermal conductivity value in \dfrac{\text{W}}{\text{cm}\cdot^\circ\text{C}} cm⋅ ∘ C W start fraction, start text, W, end text, divided by, start text, c, m, end text, dot, degrees, start text, C, end text, end fraction?
Answer:
0.0003W/cm°C
Step-by-step explanation:
The question is not properly written. Here is the correct question.
The batting wang xiu ying uses to fill quilts has a thermal conductivity rate of 0.03 watts (W) per meter(m) per degree celsius. what is the batting thermal conductivity when w/cm•c
Given the thermal conductivity in W/m°C to be 0.03W/m°C
We are to rewrite the value in W/cm°C
The difference is the unit. The only thing we need to do is to simply convert the unit (metres) in W/m°C to centimeters (cm)
Since 100cm = 1m, 0.03W/m°C can be expressed as shown below;
= 0.03W/m°C
= 0.03 × W/1m×°C
Note that 1m = 100cm, substituting this conversion into the expression, it will become;
= 0.03 × W/100cm × °C
= 0.03/100 × W/cm°C
= 0.0003W/cm°C
Hence the battling thermal conductivity in W/cm°C is 0.0003W/cm°C
Answer:
0.0003W/cm°C
Step-by-step explanation:
An actor invests some money at 8% simple interest, and $21 comma 000 more than four times the amount at 10% simple interest. The total annual interest earned from the investment is $49 comma 140. How much did he invest at each amount? Use the six-step method.
Answer:
First investment = $98000
Second = $413,000
Step-by-step explanation:
Given the following :
Investment 1:
Let first investment = f
Rate = 8% = 0.08
Investment 2:
$21,000 more than 4 times of investment 1:
4f + 21000
Rate = 10% = 0.1
Total annual interest earned from both :
$49,140
Interest on investment 1 + interest on investment 2 = $49,140
To solve:
Simple Interest = principal * rate * time
Time = 1 year
Total interest = (f * 0.08 * 1) + ((4f + 21000) * 0.1 * 1)
49140 = 0.08f + 0.4f + 2100
0.48f = 47040
f = 47040 / 0.48
f = 98000 = first investment
Second investment :
4f + 21000
= 4(98000) + 21000
= $413,000
According to a study conducted by the Gallup Organization, the the proportion of Americans who are afraid to fly is 0.10. A random sample of 1100 Americans results in 121 {0.11} indicating that they are afraid to fly. What is the probability that the sample proportion is more than 0.11
Answer: 0.1457
Step-by-step explanation:
Let p be the population proportion.
Given: The proportion of Americans who are afraid to fly is 0.10.
i.e. p= 0.10
Sample size : n= 1100
Sample proportion of Americans who are afraid to fly =[tex]\hat{p}=\dfrac{121}{1100}=0.11[/tex]
We assume that the population is normally distributed
Now, the probability that the sample proportion is more than 0.11:
[tex]P(\hat{p}>0.11)=P(\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}>\dfrac{0.11-0.10}{\sqrt{\dfrac{0.10(0.90)}{1100}}})\\\\=P(z>\dfrac{0.01}{0.0090453})\ \ \ [\because z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}} ]\\\\=P(z>1.1055)\\\\=1-P(z\leq1.055)\\\\=1-0.8543=0.1457\ \ \ [\text{using z-table}][/tex]
Hence, the probability that the sample proportion is more than 0.11 = 0.1457
PLEASE HELP Which of the following is a sinusoid?
Hey There!!
Your correct choice will be C.
Step-by-step explanation:
Because, The cosine function is just the sine function translated 90° to the left, so it's a sinusoid. So, They named after the function sine. By ♡Itsbrazts♡
Answer:
Step-by-step explanation:
y=cos(x)-2
The inequality x < 9 or x ≥ 14 can be used to represent the hourly wage, x, of each employee at a store. Which are possible values for x? Select two options. $8 $9 $11 $13 $14
Answer:
The inequality x < 9 or x ≥ 14 can be used to represent the hourly wage, x, of each employee at a store. Which are possible values for x? Select two options.
$8 . YES
$9 . HELL NO
$11 . DEFINITLY NOT
$13 . GET OUTTA HERE
$14 . MMM YES
Step-by-step explanation:
Answer:
A and E or 8, 14
Step-by-step explanation:
X*2+1=10 then x=? Tell me the value of x
Answer:
4.5Step-by-step explanation:
[tex]x \times 2 + 1 = 10[/tex]
[tex]2x + 1 = 10[/tex]
Move constant to R.H.S and change its sign
[tex]2x = 10 - 1[/tex]
Subtract the numbers
[tex]2x = 9[/tex]
Divide both sides of the equation by 2
[tex] \frac{2x}{2} = \frac{9}{2} [/tex]
Calculate
[tex]x = 4.5[/tex]
Hope this helps..
Best regards!!
factor the equation x2-2x-15=0
Answer:
(x + 3)(x - 5)
Step-by-step explanation:
Well to factor x^2-2x-15,
we need to find 2 numbers that multiply to get -15 and add to get -2.
3*-5 = -15
3x + -5x = -2x
x*x = x^2
Factored (x + 3)(x - 5)
Hope this helps :)
Answer:
(x - 5)(x + 3)
Step-by-step explanation:
Step 1- Find 2 number that multiplies to be -15, but also add to be -2
This would be -5 and 3
-5 * 3 = -15
-5 + 3 = -2
Step 2- write the equation
The equation can be written 2 different ways
1st way- (x - 5)(x + 3)
2nd way- (x + 3)(x - 5)
what is a width of a rectangle prisim if the volume is 50046 cm 3 the hight is 7 cm and the llength is 13 cm
Answer:
2383.14286
Step-by-step explanation:
The volume of a prism is length times width times height. Since we already know the height and length of the prism, we can divide the volume of the prism by the height and length. This becomes: 50046/3 = 16682. Next we divide by 7: 16682/7 = 2383.14286. Hope this helps!
sin theta = x , sec theta =y . find cot theta pls answer fast i need to verify my answer . you can directly write the answer no issues
Answer:
[tex]\huge\boxed{\cot\theta=\dfrac{1}{xy}}[/tex]
Step-by-step explanation:
[tex]\bold{METHOD\ 1}[/tex]
[tex]\sin\theta=x\\\\\sec\theta=y\\\\\cot\theta=?\\\\\text{We know:}\\\\\sec x=\dfrac{1}{\cos x};\ \cot x=\dfrac{\cos x}{\sin x}\\\\\sec\theta=y\to\dfrac{1}{\cos \theta}=y\to\dfrac{\cos\theta}{1}=\dfrac{1}{y}\to\cos\theta=\dfrac{1}{y}\\\\\cot \theta=\dfrac{\frac{1}{y}}{x}=\dfrac{1}{xy}[/tex]
[tex]\bold{METHOD\ 2}[/tex]
[tex]\text{We know}\\\\\tan x=\dfrac{\sin x}{\cos x}\\\\\cot x=\dfrac{\cos x}{\sin x}=\dfrac{1}{\tan x}\\\\\sec x=\dfrac{1}{\cos x}\\\\\text{therefore}\\\\(sin x)(\sec x)=(\sin x)\left(\dfrac{1}{\cos x}\right)=\dfrac{\sin x}{\cos x}=\tan x\\\\\dfrac{1}{(\sin x)(\sec x)}=\dfrac{1}{\tan x}=\cot x[/tex]
[tex]\\\sin \theta=x;\ \sec\theta=y\\\\\text{substitute}\\\\\cot\theta=\dfrac{1}{xy}[/tex]
find the value of b here
Answer:
Step-by-step explanation:
We will start with the angle that measures 57 degrees. This angle is supplementary to the one next to it coming off the straight line. 180 - 57 = 123.
The rule for quadrilaterals is that same side angles are supplementary, so the angle next to the 123-degree angle (to the immediate left of that angle 123) is 57. THAT 57-degree angle is supplementary to angle b, so angle b = 180 - 57 which is 123. So C is your answer.
Answer:
do you think you can send me the work for the program
Step-by-step explanation:
i got 1 day left and im not close to finishing it please help me out please respond with any way to contact you thanks
please help :) What is 7.7 x 10 to the 8 power written in standard form? A. 770,000,000 B. 77,000,000,000 C. 77,000,000 D. 7,700,000,000
Answer:
A. 770,000,000
Step-by-step explanation:
7.7x10^8 First step is to simplify
7.7x100,000,000 Then, multiply
770,000,000
Hope this helps, if it does, please consider giving me brainliest, it will help me a lot. If you still have any questions, feel free to ask.
Have a good day! :)
What is the least number of colors you need to correct color in the sections of these pictures so that no two touching sections are the same color?
You would assume that in this figure, the number of colored sections with which are not colored with respect to a " touching " colored section, would be half of the total colored sections. However that is not the case, the sections are not alternating as they still meet at a common point. After all, it notes no two touching sections, not adjacent sections. Their is no equation to calculate this requirement with respect to the total number of sections.
Let's say that we take one triangle as the starting. This triangle will be the start of a chain of other triangles that have no two touching sections, specifically 7 triangles. If a square were to be this starting shape, there are 5 shapes that have no touching sections, 3 being a square, the other two triangles. This is presumably a lower value as a square occupies two times as much space, but it also depends on the positioning. Therefore, the least number of colored sections you can color in the sections meeting the given requirement, is 5 sections for this first figure.
Respectively the solution for this second figure is 5 sections as well.
Given the coordinates for the function below, which of the following are
coordinates for its inverse?
Gallons Cost, in
of Gas Dollars
1
2
5
15
20
1.25
2.50
6.25
18.75
25.00
The coordinates of the inverse are (1.25, 1) (2.50, 2), (6.25, 5), (18,75, 15) and (25.00, 20)
How to determine the inverse coordinates?The table of values is given as:
Gallons Cost
1 1.25
2 2.50
5 6.25
15 18.75
20 25.00
The inverse of the above table would have the following header
Cost Gallons
When the inverse table is populated, we have:
Cost Gallons
1.25 1
2.50 2
6.25 5
18.75 15
25.00 20
The coordinates are: (1.25, 1) (2.50, 2), (6.25, 5), (18,75, 15) and (25.00, 20)
Hence, the coordinates of the inverse are (1.25, 1) (2.50, 2), (6.25, 5), (18,75, 15) and (25.00, 20)
Read more about coordinates at:
https://brainly.com/question/10690059
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What is the circumference of a circle with a diameter of 100m. A 100m B 157m C 300 m D 314m
Answer:
C = 314 m
Step-by-step explanation:
The circumference of a circle is given by
C = pi * d
Using 3.14 for pi
C = 3.14 * 100
C = 314 m
Answer:
The answer is option D.
314mStep-by-step explanation:
Circumference of a circle = πd
Where d is the diameter
From the question
d = 100m
Circumference of the circle is
100π
= 314.2
Which is 314m to the nearest whole number
Hope this helps you