➢◇✳︎✧✥---------------------------------------------✥✧✳︎◇⤎
[tex]Hello[/tex] [tex]There![/tex]
We need to find the slope of the line that's parallel to 6x+5y=-5.
It's not hard, I promise! I'm going to take you through a few steps, and we'll find the answer.
Are you ready? Let's start. :)
[tex]Procedure:[/tex]
➢ First, subtract 6x from both sides:
5y=-5-6x
✦ Switch the order of the terms:
5y=-6x-5
➢ Now, divide both sides by 5:
y=-6/5x-5/5
✦ Which is the same as
[tex]\bold{y=-\displaystyle\frac{6}{5} x-1}[/tex]
➢ Part of the problem's already solved! :)
Now, parallel lines have the same slope.
✦So the slope of the line parallel to 6x+5y=-5 is also:
◉ [tex]\bold{-\displaystyle\frac{6}{5}}[/tex] ☑︎
Problem solved! :)
hope it's helpful!wishing you a great day![tex]Greetings ![/tex]
◆ • ❖ _____________________________________❖ •. ◆
Which one is the correct answer and why?
The null hypothesis is that the observed difference is due to chance alone in a research.
How to illustrate the hypothesis?Your information is incomplete. Therefore, an overview of a hypothesis will be given. A null hypothesis is a hypothesis that states that there is no relationship between two population parameters.
It should be noted that researchers reject or disprove the null hypothesis to set the stage for further experimentation or research that explains the position of interest.
The null hypothesis: H0 is the complement of the alternative hypothesis. Type I error is when we reject the null hypothesis when it is correct.
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PLEASE HELP!!!!!!
George bought a cylindrical water tank for his garden, but he forgot to ask the seller what the diameter of the tank was. He needs to know the diameter of the tank so that he can build a platform for it to sit on. The seller told him the volume of the tank is 300π cubic ft and its height is 10 ft.
What is the diameter of the tank? Round only your final answer to the nearest foot.
Answer:
12ft
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Simplify the rational expression
x^4 y^2/xy^7.
Answer: [tex]x^3y^9[/tex]
Step-by-step explanation:
Reformatting the input :
Changes made to your input should not affect the solution:
(1): Dot was discarded near "7.".
STEP 1:
Simplify [tex]\frac{y^2}{x}[/tex]
The equation at the end of step 1:
[tex]((x^4)*\frac{y^2}{x} )*y^7[/tex]
Multiplying exponential expressions:
2.1 [tex]y^2[/tex] multiplied by [tex]y^7[/tex] [tex]=y^(2+7)=y^9[/tex]
Final result is [tex]x^3y^9[/tex]
NO LINKS!!!! Please help me with this graph. Part 7a
Answer:
[tex]\large \boxed{ \sf y=-0.3\left|x-0\right|-7}[/tex]
Explanation:
Absolute value of a graph formula:
y = a |x -h| + kIdentify the vertex : (h, k) = (0, -7)
As the graph opens downward, take negative/fall coordinates.
Two points: (0, -7), (10, -10)
[tex]\sf Find \ slope \ (a) : \sf \ \dfrac{y_2 - y_1}{x_2- x_1} \ = \ \dfrac{-10-(-7)}{10-0} \ = -0.3[/tex]
Put them together: [tex]\bf y = -0.3|x - 0| -7 \ \ \ \approx \ \ y = -0.3|x| - 7[/tex]
Answer:
[tex]g(x)=-\dfrac{3}{10}|x|-7[/tex]
Step-by-step explanation:
Translations
For [tex]a > 0[/tex]
[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]
[tex]y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis by a factor of}\:a[/tex]
[tex]y=-f(x) \implies f(x) \: \textsf{reflected in the} \: x \textsf{-axis}[/tex]
-----------------------------------------------------------------------------------------
Parent function: [tex]f(x)=|x|[/tex]
From inspection of the graph, the transformed function has been reflected in the x-axis.
[tex]\implies -f(x)=-|x|[/tex]
The vertex of the parent function is the origin (0, 0). The vertex of the transformed function is at (0, -7). Therefore, there has been a translation of 7 units down.
[tex]\implies -f(x)-7=-|x|-7[/tex]
From inspection of the graph, we can see that it has been stretched parallel to the y-axis:
[tex]\implies -a\:f(x)-7=-a|x|-7[/tex]
The line goes through point (10, -10)
Substituting this point into the above equation to find [tex]a[/tex]:
[tex]\implies -a|10|-7=-10[/tex]
[tex]\implies -10a=-3[/tex]
[tex]\implies a=\dfrac{3}{10}[/tex]
Therefore,
[tex]\implies g(x)=-\dfrac{3}{10}|x|-7[/tex]
Suppose the U.S. president wants to estimate the proportion of the population that supports his current policy toward revisions in the health care system. The president wants the margin of error to be 0.05. Assume a 98% level of confidence. The president’s political advisors found a similar survey from two years ago that reported that 46% of people supported health care revisions. (Use t Distribution Table & z Distribution Table.)
Required:
a. How large of a sample is required? (Round up your final answer to the next whole number.)
b. How large of a sample would be necessary if no estimate were available for the proportion supporting current policy? (Round up your final answer to the next whole number.)
The sample size for part (a) is 540, and the sample size for part (b) is 543 if the margin of error to be 0.05.
What is the margin of error(MOE)?It is defined as an error that provides an estimate of the percentage of errors in real statistical data.
The formula for finding the MOE:
[tex]\rm MOE = Z\times \dfrac{s}{\sqrt{n}}[/tex]
Where Z is the z-score at the confidence interval
s is the standard deviation
n is the number of samples.
We know:
[tex]\rm MOE = Z \times \sqrt{\dfrac{pq}{n}}[/tex]
We have MOE = 0.05, p = 46% = 0.46,
q = 1-p = 1-0.46 = 0.54
Z at 0.02(because 98% level of confidence) = 2.33
Plug this value in the formula we get:
[tex]\rm 0.05 = 2.33 \times \sqrt{\dfrac{0.46\times0.54}{n}}[/tex]
After solving:
n = 539.41 ≈ 540
If no estimate is given:
p = 0.5 and q = 0.5
[tex]\rm 0.05 = 2.33 \times \sqrt{\dfrac{0.5\times0.5}{n}}[/tex]
n = 542.89 ≈ 543
Thus, the sample size for part (a) is 540, and the sample size for part (b) is 543 if the margin of error to be 0.05.
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A teacher bought 8 books at (p - 1500) each book and 2 pens at (p + 1000) each pen. If the teacher spent 53,000 altogether, how much money did he spend on the books?
Answer:
38400/=
Step-by-step explanation:
8(p-1500)=8p-12000
2(p+1000)= 2p+2000
8p-12000+2p+2000=53000
10p-10000=53000
10p=53000+10000
10p=63000
p=6300/=
8 books=8(6300-1500)
=38400/=
if a+b=10 and a-b=6,then find the value of (a²+b²)
Answer:
68
Explanation:
Sets of equations:
1) a + b = 10
2) a - b = 6
Make 'a' the subject:
1) a = 10 - b --- equation 1
2) a = 6 + b --- equation 2
Solve them by substituting:
⇒ 10 - b = 6 + b
⇒ -b - b = 6 - 10
⇒ -2b = -4
⇒ b = 2
Find value of 'a', a = 10 - b, a = 10 - 2 = 8
Then find (a²+b²), by inserting a = 8, b = 2,
⇒ ((8)²+(2)²) = 64 + 4 = 68
Step-by-step explanation:
given,
a+b=10.............( eqn 1)
a-b=6................(eqn 2)
adding eqn1 and eqn2
a+b=10
a-b=6
______
2a=16
a=16/2
a=8
putting the value of a in eqn 1
a+b=10
8+b=10
b=10-8
b=2
now,
(a²+b²)= 64+4=68
Please help me with this
Write and solve an equation to find the measure of angle X.
Answer:
x = 43°
Step-by-step explanation:
In order to find the measure of angle x we'll use Vertical Angles Theorem.
x = 180° - (90 + 47)x = 180° - 137x = 43°Therefore, the measure of angle x is 43° ✓.
«•••••••••••••••••»
A bag of dozen oranges was selling for $3. The manager of the store decided to add some oranges to the bag, but not to change the $3 sticker price on the bag. Now the price of the oranges was actually $2 a dozen. How many oranges were added to the bag
Answer:
A fruit seller buys some oranges and by selling 40% of them he realizes the cost price of all the oranges. As the oranges being to grow over-ripe, he reduces the price and sells 80% of the remaining oranges at half the previous rate of profit.
Step-by-step explanation:
what are the solutions to the system of equations below 3y=x-2 y=-2x+4
The value of the x is 2 and the value of the y is 0 in the system of equation 3y=x-2, y=-2x+4.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have a system of the equation:
3y=x-2 ..(1)
y=-2x+4 ...(2)
From the equation (2) take the value of y and plug in the equation (1)
3(-2x+4) = x -2
-6x + 12 = x - 2
7x = 14
x = 14/7
x = 2
Plug this value in the equation (2)
y = -2(2) + 4
y = 0
Thus, the value of the x is 2 and the value of the y is 0 in the system of equation 3y=x-2, y=-2x+4.
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34. What are the signs and symptoms of MERS?
Answer:
People with MERS may experience a fever, cough, or shortness of breath. They may also experience chess pain, fatigue, chills, loss of appetite, body aches, diarrhea, nausea, vomiting, congestion, sneezing, headaches, or a sore throat.
Step-by-step explanation:
Hi! Emergency. Please answer! I'll mark brainilest. :)))
A triangle has sides of lengths a=37, b=39, c=63 ft.
Find the measures of the 3 angles
Enter your answer as a number; answer should be accurate to 2 decimal places.
Angle A =
°
Angle B =
°
Angle C =
°
Answer:
angle A: 33.005
Angle B: 35.04
Angel C: 111.955
Step-by-step explanation:
look at attached image for more info
Hope it helps! Have a wonderful day
Algebraic Proofs. Geometry
Answer:
Step-by-step explanation:
HELP PLEASE I NEED HELP .”!
Answer:
4 × 10^-1
Step-by-step explanation:
ask if you need further explanation
Hi Guys I'm stuck on this question
write x^2-4x+2 in the form (x-A)^2+B
Answer:
(x-2)^2-2
Step-by-step explanation:
x^2-4x+2
take the x out
x(x-4) + 2
(x-2)^2-2
because (x-2)^2 is
x^2-4x+4
its like completing the square
Answer:
(x-2)² -2
Step-by-step explanation:
Consider that (a+b)² = a²+2ab+b²
To find the form (x-A)²+B compare x²-4x+2 with a²+2ab+b²
x² - 4x +2
a² + 2 a b+ b², so a= x and b = (-2)
x²+ 2· x ·(-2)+ (-2)² - 2 = (x-2)² -2 is in the form (x-A)²+B
Check our answer:
(x-2)² -2= (x²-2·2x+4)-2 = x²-4x +2 ✅
Sophia and Emilio are looking for a daycare for their son, Michael. They want to make sure the daycare is midway between their jobs. Sophia works at the HEB located at (4, 6), and Emilio works at the Home Depot located at (1, 2). Where should the daycare be located?
(2.5, 4)
(1.5, 5)
(1.5, 2)
(2,3)
Answer: 2,3
Step-by-step explanation: I think this is the right answer. Have a good day!! :)
3ª = 69
Help pleaseeee it’s solving exponential equations with logarithms worksheet
Answer:
a = 3.8540
Step-by-step explanation:
3ª = 69
ln 3ª = ln69
a * 1n3/1n3 = ln69/ln3
a = 3.8540
please mark brainliest if i got it correct. if i didn't sorry :(
Find the cardinal number of the following sets: (7mar
İ.
A={}
ii.
B= (0)
C=(3, 7, 11, 15)
D- (3, 3, 3, 4, 4, 5)
E= (x:x is a letter in the word 'STATISTICS'}
F= (x: x is an odd whole number less than 12}
G= (x:x is a factor of 12)
The cardinal number of the given sets are:
Set A = 0 Set B = 1Set C = 4Set D = 3 Set E = 5Set F = 6Set G = 6How to determine the cardinal number of the sets?As a general rule, the cardinal number of a set is the number of distinct elements in the set
Using the above definition the cardinal number of the given sets are:
Set A = 0 because it is an empty setSet B = 1Set C = 4Set D = 3 -- because it contains 3 distinct numbers i.e 3, 4 and 5Set E = 5-- because it contains 5 distinct letters i.e S, T, A, I and CSet F = 6Set G = 6Read more about sets at:
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2
7
What is the area of the triangle?
units?
Step-by-step explanation:
the area of a triangle is always
baseline × height / 2
where baseline and height are perpendicular (at a 90° angle) to each other.
so, in our case the area is
7 × 2 / 2 = 7 × 1 = 7 units²
Please see question help!!!
Answer:
option A is the effect on the graph
Anna cooks 12 cups of tomato soup in a large pot. She fills 4 bowls with 10 fluid ounces of soup each from the pot. How many cups of soup are left in the pot?
Hint: There are 8 fluid ounces in 1 cup.
Answer:
68 cups
Step-by-step explanation:
You must divide then multiply the reciprocal
Part B
Morgan said that the difference between the heaviest loaf of bread and the lightest loaf of bread is 1 1/2 ounces. Do you agree with Morgan? Explain
also this is worth 35 points pls help!!
Answer:
Morgan is incorrect because 24 1/2- 22 3/4=1 3/4
Step-by-step explanation:
24 ¹/²- 22 ³/⁴=1 ³/⁴
Solve for x/4 - 8 = y for x.
A. x = 4y - 32
B. x = 4y + 32
C. x = 1/4t - 2
D. x = 1/4y + 2
Answer:
B
Step-by-step explanation:
add 8 to both sides and multiply both y and 8 by 4 to get 4y and 32
What is true about the angles of a right triangle?
Answer:
A right triangle has one angle of 90
Step-by-step explanation:
Step-by-step explanation:
It has only one angle of 90°
What is the quotient when (x+3) is divided into the polynomial 2x2 + 3x-9?
O A. 2x-5 with no remainder
B. X+ 3 with a remainder of -2
O c. 2x+ 1 with no remainder
D. 2x-3 with no remainder
Problem: 2x^2+3x-9
For a polynomial of the form, ax^2+bx+c rewrite the middle term as the sum of two terms whose product a·c=2·-9=-18 and whose sum is b=3.
Factor 3 out of 3x
2x^2+3(x)-9
Rewrite 3 as -3 plus 6.
2x^2+(-3+6)x-9
Apply the distributive property
2x^2(-3x+6x)-9
Remove the parentheses
2x^2-3x+6x-9
Factor out the greatest common factor from each group
Group the first two terms and the last two terms
(2x^2-3x) (6x-9)
Factor out the greatest common factor in each group.
x(2x-3)+3(2x-3)
Factor the polynomial by factoring out the greatest common factor, 2x-3
(x+3) (2x-3). So, the quotient is 2x-3
Thus, the correct answer is Option D 2x-3 with no remainder
find all solutions
36x²+12x=0
Answer:
x = -1/3 or 0
Step-by-step explanation:
Given equation:
[tex]36x^{2} + 12x = 0[/tex]We can factor 12x on the L.H.S since 12x is divisible by 36x² and 12x.
[tex]\implies 36x^{2} + 12x = 0[/tex]
[tex]\implies 12x(3x + 1) = 0[/tex]
This can lead to two solutions. I have listed them below!
Solution 1:Divide 12x on both sides to open the parentheses.
[tex]\implies 12x(3x + 1) = 0[/tex]
[tex]\implies \dfrac{12x(3x + 1)}{12} = \dfrac{0}{12}[/tex]
Note: zero divided by any non-zero number is 0.
[tex]\implies \dfrac{12x(3x + 1)}{12} = \dfrac{0}{12}[/tex]
[tex]\implies 3x + 1 = 0[/tex]
Isolate 3x on one side of the equation.
[tex]\implies 3x + 1 = 0[/tex]
[tex]\implies 3x = 0 - 1[/tex]
[tex]\implies 3x = -1[/tex]
Divide 3 both sides to determine the value of x.
[tex]\implies 3x = -1[/tex]
[tex]\implies \dfrac{3x}{3} = \dfrac{-1}{3}[/tex]
[tex]\implies \boxed{x = \dfrac{-1}{3}}[/tex]
Solution 2:Divide (3x + 1) on both sides to isolate 12x.
[tex]\implies 12x(3x + 1) = 0[/tex]
[tex]\implies \dfrac{12x(3x + 1)}{(3x + 1)} = \dfrac{0}{(3x + 1)}[/tex]
Note: zero divided by any non-zero number is 0.
[tex]\implies \dfrac{12x(3x + 1)}{(3x + 1)} = \dfrac{0}{(3x + 1)}[/tex]
[tex]\implies 12x = 0[/tex]
Divide 12 both sides to determine the value of x.
[tex]\implies 12x = 0[/tex]
[tex]\implies \dfrac{12x}{12} = \dfrac{0}{12}[/tex]
[tex]\implies \boxed{x = 0}[/tex]
Therefore, the solutions for x are -1/3 or 0.
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Answer:
x = 0 or x = -1/3
Step-by-step explanation:
In the equation 36x²+12x=0 we have :
36x² = 6x × (6x)
12x = 2 × (6x)
This means that 6x is a common factor,so let’s factor :
36x²+12x=0
⇔ 6x × (6x) + 2 × (6x) = 0
⇔ 6x × (6x + 2) = 0
⇔ 6x = 0 or 6x + 2 = 0
⇔ x = 0 or x = -2/6
Marking brainliest need help!!!
Answer:
B.
Step-by-step explanation:
it represents the hours the truck was driven before running out of fuel because the further the line goes the less fuel it has until it reaches the x-axis meaning there's no more fuel
Denice made 9 identical bags using 4 yards of fabric. How much fabric did denice use for each bag
Answer:
Denice would have used 2.25 (or 2 1/4) yards of fabric for each bag.
Step-by-step explanation:
First, you have the 9 bags you are making and they all must be the same because they are identical, so you divide the nine bags by the four yards and I got an answer of 2.25 yards per bag. The answer can also be 2 1/4 as well.
Write 7/4/1 as an improper fraction.
Type a number in each box.
Please Help!
Answer:
29/4
Step-by-step explanation:
7/1/4 = 7 1/4 = (4/4 x 7) + 1/4 = 28/4 + 1/4 = (28/4 + 1)4 = 29/4
The quick rule is:
Multiply the integer by the denominator: 7 x 4 = 28
Add the numerator to this product: 28 + 1 = 29
Put this result over the denominator: 29/4
