Answers
Answer:
5x+4y=24
Step-by-step explanation:
So Ax+By=C is the standard form equation of a line.
y=mx+b (in which m is the slope and b is the y-intercept) is the equation that most people start off with.
Since the line intersects the y-axis at (0,6), the y-intercept is 6.
So, we can substitute 6 with b, which is y=mx+6.
Now, we can find the slope (m) by either inserting a known point (x,y) or using rise/run. Either way, you get the slope as -5/4 because we go five units DOWN and four units RIGHT from (0,6), one known point, to (4,1), another known point.
The y=mx+b equation becomes: y=(-5/4)x+6.
Now, we subtract (-5/4)x on both sides to get (5/4)x+y=6
Multiply 4 on both sides because standard form requires no fractions or decimals.
The final answer is 5x+4y=24.
That's your answer, fully simplified!
Related Questions
1. EF is (a secant of, tangent to) OX.
2. DF is a (chord, locus) of OX.
3. AABC is made of (chords in, tangents to) OX.
4. ZDEF is an (intercepted arc, inscribed angle) of OX.
Answers
Answer:
1 . EF is a secant of OX
2. DF is a chord of OX.
3. AABC is made of tangents to OX
4. ∠DEF is an inscribed angle of OX.
Step-by-step explanation:
Secant is line which intersects a circle from two distant points. Locus is a set of points which is same distance from the center of a circle. Chord is a straight line whose end points lie on circular arc of a circle. Tangent is a line which touches the circle at one point only.
As a nurse, part of your daily duties is to mix medications in the proper proportions for your patients. For one of your regular patients, you always mix Medication A with Medication B in the same proportion. Last week, your patient's doctor indicated that you should mix 100 milligrams of Medication A with 80 milligrams of Medication B. However this week, the doctor said to only use 16 milligrams of Medication B. How many milligrams of Medication A should be mixed this week?
Answers
Answer:
Step-by-step explanation:
20 milligrams
A tepee is designed to have a diameter of 10 ft and a volume of 393 ft. At
what height, h, should the support poles cross to assemble the tepee
correctly? Use 3.14 for 1 and round your answer to the nearest foot.
Answers
Answer:
15 ft.
Step-by-step explanation:
The tepee is a cone and its volume
= 1/3 pi r^2 h where r = radius and h = height.
The radius r = 1/2 * 10 = 5 ft.
So we have the equation:
393 = 1/3*3.14* 5^2 * h
h = 393 / (1/3*3.14*25)
= 15.02 ft.
PLZ HELPPP I need to pass this!!
Answers
Answer:
x=-1
Step-by-step explanation:
the middlepoint is where its symetrical, and so you take the x part of the point. the point is (-1,4), and all we need is x, so you have x=-1
Nia had a 20 inch by 30 inch enlargement made of a photograph. She wanted to have it framed. How many inches of frame would it take to enclose the photo?
Answers
Answer: 100 inches
Step-by-step explanation:
From the question, we are given the information that Nia had a 20 inch by 30 inch enlargement made of a photograph and that she wanted to have it framed.
The number of inches of frame that she would use to enclose the photo will be gotten by calculating the perimeter of the shape and this will be:
= 2(length + width)
= 2(30 + 20)
= 2(50 inches)
= 100 inches
To enclose the photo, 100 inches of frame is needed.
What proportion of families own as opposed to rent their home? To find out, an urban planner selected a random
sample of 400 families in a large city to participate in a survey about homeownership. Of the 362 families that
responded to the survey, 42% reported that they own their home. Which of the following statements about the
survey results is true?
O A suitable estimate of all families who own their home is 42%.
The survey suffers from voluntary response bias and may not accurately represent the population.
O Only 362 responses cannot provide a suitable estimate of families who own their home.
O The survey suffers from undercoverage and may not provide a suitable estimate of homeownership.
Mark this and return
Save and Exit
fyext
Submit
Answers
Answer:
A suitable estimate of all families who own their home is 42%.
Step-by-step explanation:
42% reported that they own their home.
This means that the sample proportion is of 42%. So that an estimate for the percentage of all families who own their home is of 42%., and that the first option is correct.
Answer:
The correct answer is: The survey suffers from undercoverage and may not provide a suitable estimate of homeownership.
Step-by-step explanation:
I just took the review test. The person above me is wrong
In a math class, there are 6 students with brown hair, 8 students with black hair, and 9 students with blonde hair? One student is selected at random. What is the sample space? *
Brown, black .
Black, blonde.
Brown, black, blonde.
Brown, blonde.
Answers
Explanation:
The sample space is simply the list of possible outcomes. We list all the hair colors possible in this class.
Help mew with this please
Answers
Step-by-step explanation:
There are many ways
-1 - 1 = - 2
-5 + 3 = -2
Answer:
(-3+1) and 1,000,000+(-1,000,002)
The numbers 1, 2, 3 , and 4 are drawn one at a time from the set {0, 1, 2, …, 9}. If these four numbers are drawn with replacement, what is the probability that 14 − 23 is an even number?
Answers
Benecio skis 748 yd in 3 min. At this rate, how many miles does Benecio ski in an
hour in miles?
Answers
Answer:
8.5 miles an hour.
Step-by-step explanation:
There are many ways to do this, but I am going to do it the way I think is the most simple.
First, divide 748 yards by 3 minutes to get the amount of yards per minute. 748 / 3 = 249.33333
Second, divide the previously gotten number (249.33333, [3's go on forever]) by the amount of yards in a mile (which is 1760 yards per mile). This turns into 249.33333 / 1760 = 0.1416666 (6's go on forever). This is miles per minute so you must make it per hour.
You then multiply that infinite number by the amount of minutes in an hour (60 minutes per hour). 0.14166666 * 60 = 8.5 miles per hour.
Find the slope of a line that is PRRPENDICULAR to the line that goes between (3,-8) and (5,2).
5
1/5
-5
-1/5
3
-3
1/3
-1/3
Answers
Answer:
-1/5
Step-by-step explanation:
Slope of the line = (y2-y1)/(x2-x1)
(2-(-8)/(5-3)
10/2 = 5
Perpendicular line = the slope is opposite of the reciprocal
-1/5
32
The angles shown are supplementary. What is the value of x? 0
(2 Points)
(5x5°
95°
O 180 degree
• 17 degree
O 22 degree
45 degree
HELPP I NEED THIS ASAP ITS FOR MY FINALSS
Answers
Answer:
17degrees
Step-by-step explanation:
The sum of two supplementary angles is equation 180degrees. Hence:
5x+95 = 180
5x = 180-95
5x = 85
x = 85/5
x = 17
Hence the value of x is 17
Help me pls this is hard
Answers
Answer:
I guess it is the Answer C
Answer:
C
The distance around the edge of the circle
I would appreciate if someone could answer this :)
Answers
Answer:
x = 8
y = 6
Step-by-step explanation:
Recall that one of the properties of a parallelogram is that the diagonals bisect each other, which means they divide each other into equal segments.
Therefore,
LP = PN
x = y + 2 (eqn. 1)
PM = KP
2x - 8 = y + 10 (eqn. 2)
Substitute x = y + 2 into eqn. 2 to find y
Thus:
2(y + 2) = y + 10
2y + 4 = y + 10
Take like terms
2y - y = -4 + 10
y = 6
Substitute y = 6 into eqn. 1 to find x:
x = y + 2 (eqn. 1)
x = 6 + 2
x = 8
a line through (4,2) with slope 1/2
Answers
Answer:
Step-by-step explanation:
Use the formula P=MX+B
The mean height of women in a country (ages 20-29) is 64 4 inches A random sample of 50 women in this age group is selected What is the probability that the mean height for the sample is greater than 65 inches? Assume o = 2.91 The probability that the mean height for the sample is greater than 65 inches is
Answers
Answer:
0.0721 = 7.21% probability that the mean height for the sample is greater than 65 inches.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 64.4 inches, standard deviation of 2.91
This means that [tex]\mu = 64.4, \sigma = 2.91[/tex]
Sample of 50 women
This means that [tex]n = 50, s = \frac{2.91}{\sqrt{50}}[/tex]
What is the probability that the mean height for the sample is greater than 65 inches?
This is 1 subtracted by the p-value of Z when X = 65. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{65 - 64.4}{\frac{2.91}{\sqrt{50}}}[/tex]
[tex]Z = 1.46[/tex]
[tex]Z = 1.46[/tex] has a p-value of 0.9279
1 - 0.9279 = 0.0721
0.0721 = 7.21% probability that the mean height for the sample is greater than 65 inches.
There are 49 non-fiction books on my shelf. The remaining 75% of
books are novels. How many books are on my shelf?
Answers
Step-by-step explanation:
the answer is in the above image
Value of 140 degree in diagrams
Answers
Answer:
There are 360º in a circle. 140º has been allocated to one angle.
There are 360-140 = 220º left in the circle.
Step-by-step explanation:
An item costs $370 before tax and the sales tax is $11.10. Find the sales tax rate::Write your answer as a percentage.
Answers
Answer:
3%
Step-by-step explanation:
Cost x sales tax rate =tax
370 x sales tax rate = 11.10
sales tax rate =11.10/370
sales tax rate=.03 or 3%
The sales tax rate is 3% if an item costs $370 before tax and the sales tax is $11.10.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
To determine the sales tax rate, we need to divide the amount of sales tax paid by the cost of the item before tax and then multiply the result by 100% to express it as a percentage.
As per the question, the amount of sales tax paid is $11.10, and the cost of the item before tax is $370. Therefore, the sales tax rate is:
sales tax rate = tax paid / (cost of the item before tax) x 100%
sales tax rate = $11.10 / $370 x 100%
Apply the division operation,
sales tax rate = $0.03 x 100%
Apply the multiplication operation,
sales tax rate = 3%
Therefore, the sales tax rate is 3%.
Learn more about the percentages here:
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(4x+ 5 = 20
Which best describes the circled part of the statement?
Expression
Coefficient
Term
Variable
Answers
Answer:
B) Coefficient.
Step-by-step explanation:
The coefficient is the numerical constant in the given term.
For example, the given term is 4x, in which:
4 is the coefficient.
x is the variable.
5 is the constant.
20 is another constant.
~
4.000.000 x 4.000.000 = ?????
Helpp
Answers
I think the answer is 16 but I'm not 100% sure
if a loaf of bread coast £1.52 how much change will you get from £10 if you buy 4loaves
Answers
Answer:
Balance will be £3.92
Step-by-step explanation:
Cost of 1 loaf = £1.52
Therefore, cost of 4 loaves = 4 x 1 . 52 = £6.08
So if you pay with £10 your balance will be = 10.00 - 6.08 = £3.92
The solution is £ 3.92
The amount of money after the purchase of 4 loaves of bread is given by the equation A = £ 3.92
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
The total amount of money = £ 10
The cost of one loaf of bread = £ 1.52
Now , the number of loaves of bread = 4 loaves
So , the cost of 4 loaves of bread = 4 x cost of one loaf of bread
Substituting the values in the equation , we get
The cost of 4 loaves of bread = 4 x 1.52
The cost of 4 loaves of bread = £ 6.08
The amount of money after the purchase A = total amount of money - cost of 4 loaves of bread
Substituting the values in the equation , we get
The amount of money after the purchase A = £ 10 - £ 6.08
The amount of money after the purchase A = £ 3.92
Therefore , the value of A is £ 3.92
Hence , the amount is £ 3.92
To learn more about equations click :
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At an assembly plant for light trucks, routine monitoring of the quality of welds yields the following data:
Number of Welds
High Moderate Low
Quality Quality Quality
Day Shift
Evening Shift
Night Shift 467 191 42
445 171 34
254 129 17
Can you conclude that the quality varies among shifts?
a. State the appropriate null hypothesis.
b. Compute the expected values under the null hypothesis.
c. Compute the value of the chi-square statistic.
d. Find the P-value. What do you conclude?
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
H0 : quality does not vary among shift
H1 : quality varies among shift
The expected values :
(Row * column) / grand total
Given the data:
Observed values :
_________________total
_______467 191 42 __700
_______445 171 34 __650
_______254 129 17 _ 400
Total __ 1166 491 93 _ 1750
Expected value count using the formula :.
Expected Values:
466.4 ____196.4 ______37.2
433.086 _182.371___ 34.5429
266.514_ 112.229____ 21.2571
The Chisquare statistic (χ²) :
χ² = (observed - Expected)²/ observed
χ² = 5.76045
The degree of freedom = (row - 1) * (column - 1)
Degree of freedom = (3-1)*(3-1) = 2*2 = 4
Pvalue = 0.2178
Pvalue > α ; We foal to reject H0 ; Hence, we conclude that quality does not vary among shift
What is the equation of the line that passes through the point (-7, -4) and has a
slope of 1?
Answers
Answer:
Y=x+3
Step-by-step explanation:
we have :
x1= -7
y1= -4
m=1
as we know Y-y1=m(X-x1)
Y+4=(X+7)
Y+4=X+7
Y=X+7-4
Y=X+3
Which of the following represents the factorization of the trinomial below?
X2 - 2x - 48
ANSWER
Answers
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: (x + 6)(x - 8)}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] {x}^{2} - 2x - 48[/tex]
[tex] = {x}^{2} - 8x + 6x - 48[/tex]
Taking [tex]x[/tex] as common from first two terms and 6 from last two terms, we have
[tex] =x \: ( \: x - 8 \: ) + 6 \: ( \: x - 8 \: )[/tex]
Taking the factor [tex](x-8)[/tex] as common,
[tex] = (x + 6)(x - 8)[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
Answer:
(X+6)(x-8)
Step-by-step explanation:
If you become a. . what Will you do
Answers
Answer:
if you becomes a.. what is this mean
Answer:
i have no idea
Step-by-step explanation:
i dont think turning into a virtual period will let me do anything. If you can clarify please let us know!
What is the sum of the interior
angle measures of a polygon
that has 20 sides?
Sum = [?]"
Hint: Sum = (n-2)180
Answers
Step-by-step explanation:
if N= given Side then,
(20-2)180
18×180
3240° Answer
Answer:
n=20 side
sum=(n-2)180
=(20-2)180
=(18)180
=3240
k+9=7..................................................
Answers
Answer:K=-2
Step-by-step explanation:
becuase you do the opposite of +9 which is -9 and you do 7-9 which is -2 so K=-2
Expand and simplify (n-2)(3n+7) + 2n(2n+3)
Answers
Hope that helps and best of wishes!
Find the general value of log(1 + i) + log(1 - i)
Answers
Answer:
the answer would be log 2
