Answer:
4x - 5y = 10
Step-by-step explanation:
Any line parallel to 4x - 5y = 35 will have the same equation EXCEPT that the constant will be different.
Starting with 4x - 5y = 35, replace x with the given x-coordinate -5 and the given y-coordinate -6, and finally the given 35 with the constant C:
4(-5) - 5(-6) = C, or
-20 + 30 = C. Thus, C = 10, and the equation of the new line is
4x - 5y = 10
The equation of line is 4x - 5y = 10
What is equation of line?A straight line's general equation is y = mx + c, where m is the gradient. On the y-axis, this number c is referred to as the intercept. Key Point y = mx + c is the equation for a straight line with a gradient of m and an intercept of c on the y-axis.
Given the points (-5,-6)
and parallel to line 4x - 5y = 35...…..(1)
the equation of line is (y - y₁) = m( x - x₁)
for parallel line condition the value of m is equal to both equations
converting eq. 1 in the form of y = mx + c
4x - 5y = 35
we get y = 4/5x -7
here m = 4/5 and c = -7
substitute the value of m in equation of line
where y₁ = -6; x₁ = -5
(y - (-6)) = 4/5(x - (-5))
y +6 = 4/5(x+5)
simplify above eq. we get
4x - 5y = 20
Hence the equation of the line that passes through the point (- 5, - 6) is 4x - 5y = 20
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The population of a town increased from 3450 in 2006 to 4650 in 2011. Find the absolute and relative (percent) increase.
Answer:
15% increase per year.
Step-by-step explanation:
5,600 - 3,500 = 2,100
2,100 is what percent of 3,500?
2,100 = X*3,500
X = 2,100 / 3,500
X = .60 or 60%
An average of 15% increase per year.
Answer:
the population of a town increased from 3450 and 2006 to 51,50 and 2010 find the absolutes and relative percent increase
Step-by-step explanation:
Convert the polar coordinates to rectangular form (√2,-π\4)
Answer:
(1, -1)
Step-by-step explanation:
To convert polar to rectangular coordinates, use these identities:
x = rcos(Ф)y = rsin(Ф)x² + y² = r²Here we were given the point [tex](\sqrt{2},-\frac{\pi}{4})[/tex] which is our (r, Ф) point
We can now plug these values into our x and y equations to convert to rectangular and find our (x, y) point
x = [tex](\sqrt{2} )cos(-\frac{\pi}{4} )= (\sqrt{2})(\frac{\sqrt{2} }{2})=\frac{2}{2}=1[/tex] y = [tex](\sqrt{2} )sin(-\frac{\pi}{4} )= (\sqrt{2})(-\frac{\sqrt{2} }{2})=-\frac{2}{2}=-1[/tex]So our (x, y) point is (1, -1)
[tex](\sqrt{2},-\frac{\pi}{4}) = (1, -1)[/tex]Help anyone? Who knows this 6th grade math
Answer:
√33 ≈ 5.7
Step-by-step explanation:
The length of the bottom diagonal is given by pythagoras, let's call it d:
[tex]d =\sqrt{5^2+2^2}[/tex]
Then, the length of the diagonal through the box is also given by pythagoras as:
[tex]\sqrt{d^2 + 2^2}[/tex]
In total, that is:
[tex]\sqrt{5^2 + 2^2 + 2^2} = \sqrt{33} \approx 5.7[/tex]
To the nearest tenth of a cubic centimeter, what is the volume of
the sphere if r = 17 cm?
Answer:
V≈20579.53
Step-by-step explanation:
[tex]V=\frac{4}{3} \pi r^3[/tex]
Please solve this in a paper and send the answers with steps.
*marking as brainlist.
Answer: 2. 121 could be the dividend and 11 will be the quotient. 3) 35 could be the dividend and -5 could be the divisor.
4) 256 could be the dividend and -16 would be the quotient. 5) 12 could be the divisor and 144 could be the dividend. 6) 17 could be the divisor and and 9 could be the quotient.
Step-by-step explanation:
2. 121/11= 11
3. 35/-5= -7
4.256/-16 =-16
5.144/12= 12
6.153/17=9
Which of the following shows the proper Order of a food chain?
Answer:
c) producers herbivores carnivores decomposers
Step-by-step explanation:
Producers are at the bottom of the food chain, plants are natural producers and provide food and nutrients to consumers. Herbivores nourish on plants and insects. Predators prey on herbivores or other predators. Decomposers is When an animal dies, scavengers and decomposers break them down.
Answer:
The answer is option 3 .
Step-by-step explanation:
Producers – produce its own food Herbivores – eat only plants, feed on producersCarnivores – eat both plants and animals, feed on herbivores Decomposer – decompose the dead organisme.g
Grass -> Zebra -> Hyena -> Mushroom / Fungi
A celebrity called Wayne East has been having some money problems recently. He is thinking of investing in the greatest record in the world, and wants to know how the value will change over time. He has an exponential regression model where his predictor is time in months, and response variable is money, measured in thousands of dollars. The alpha value is 4.2, and beta is 1.03. Based on this model, how much money (in thousands) will he have after six months
Answer:
Wayne west would have $5,015 in six months
Step-by-step explanation:
The formula for exponential regression model is y = αβˣ
Where y is amount of money in 1000 dollars
x is time in months
We are given that α = 4.2 and β = 1.03 and x = 6 months
Therefore, based on this model, y = αβˣ, the amount he would have in 6 months, y = [tex]4.2*(1.03) ^{6}[/tex]
y = 5.015 × 1000 = $ 5,015
help asap will give brainliest to whoever answer's correctly.
Answer:
cant see the image
Step-by-step explanation:
For the past 50 days, daily sales of laundry detergent in a large grocery store have been recorded (to the nearest 10). Units sold Number of Times. 30 8 40 12 50 15 60 10 70 5 a). Determine the relative frequency for each number of units sold. Please show your work on EXCEL. b). Suppose that the following random numbers were obtained using Excel .12 .96 .54 .55 .66 .77 .88 .99 .33. 304894 Use these random numbers to simulate 10days of sales. Please show your work on EXCEL.
Answer:
The answer to this question can be described as follows:
Step-by-step explanation:
Please find the attachment
K.Brew sells a wide variety of outdoor equipment and clothing. The company sells both through mail order and via the internet. Random samples of sales receipts were studied for mail-order sales and internet sales, with the total purchase being recorded for each sale. A random sample of 18 sales receipts for mail-order sales results in a mean sale amount of $74.90 with a standard deviation of $21.75. A random sample of 9 sales receipts for internet sales results in a mean sale amount of $87.30 with a standard deviation of $19.75. Using this data, find the 95% confidence interval for the true mean difference between the mean amount of mail-order purchases and the mean amount of internet purchases. Assume that the population variances are not equal and that the two populations are normally distributed.
Step 1 of 3: Find the point estimate that should be used in constructing the confidence interval.
Step 2 of 3: Find the margin of error to be used in constructing the confidence interval. Round your answer to six decimal places.
Step 3 of 3: Construct the 95% confidence interval. Round your answers to two decimal places.
Answer:
Step-by-step explanation:
Step 1. The point estimate is the difference between the the mean amount of mail-order purchases and the mean amount of internet purchases. It becomes
74.9 - 87.3 = - 12.4
Step 2. The formula for determining margin of error is expressed aa
Margin of error = z√(s1²/n1 + s2²/n2)
Where
z = z score
s1 = sample standard deviation for data 1
s2 = sample standard deviation for data 2
n1 = number of samples in group 1
n2 = number of samples in group 2
For a 95% confidence interval, the z score is 1.96
From the information given,
s1 = 21.75
n1 = 18
s2 = 19.75
n2 = 9
z√(s1²/n1 + s2²/n2) = 1.96√(21.75²/18 + 19.75²/9) = 1.96 × 8.343
= 16.35
Step 3. Confidence interval = (x1 - x2) ± z√(s²/n1 + s2²/n2)
95% Confidence interval = - 12.4 ± 16.35
How many solutions does the system have?
8x+ 2y = 14
8x + 2y = 4
Choose 1 answer:
Exactly one solution
No solutions
Infinitely many solutions
Answer:
No solutions
Step-by-step explanation:
Subtract the two equations
8x+ 2y = 14
-8x - 2y =- 4
----------------------------
0 = 10
This is never true so there are no solutions
Answer:
No solutions
Step-by-step explanation:
I just did it on khan.
Apply distributive property to factor out the greatest common factor.
Explanation:44h-33 I need an answer?
Answer:11(4h-3)
Step-by-step explanation:
44h-33
11(4h-3)
A tree grows 20 percent taller every year after it is planted. The tree was 12 feet tall when planted. How tall will it be after 10 years? 74.3 feet 120 feet 144 feet 146.3 feet
Answer:
74.3 feet
Step-by-step explanation:
Each year, the height is multiplied by 1 +20% = 1.20. After 10 years, the original height is multiplied by 1.20^10, so is ...
(12 ft)1.20^10 ≈ (12 ft)(6.19174) ≈ 74.3 ft
show more notes w. heieie you can do it for
Answer:
Scallops
Step-by-step explanation:
In triangle DOC, cos(D) = 20/29. What is the value of tan(D)?
Answer:
[tex]tan(D) = \frac{21}{20}[/tex]
Step-by-step explanation:
Step(i):-
Given in triangle DOC
Cos(D) = 20/29
now
[tex]Sec(D) = \frac{1}{Cos(D)} = \frac{1}{\frac{20}{29} } = \frac{29}{20}[/tex]
We Know that trigonometry formulas
[tex]sec^{2}(D) -tan^{2} (D) =1[/tex]
[tex]tan^{2} (D) = sec^{2} (D) -1[/tex]
= [tex](\frac{29}{20} )^{2} -1[/tex]
= [tex]\frac{841 -400}{400} = \frac{441}{400}[/tex]
[tex]tan^2(D) = \frac{441}{400}[/tex]
[tex]tan(D) = \sqrt{\frac{441}{400} } = \frac{21}{20}[/tex]
[tex]tan(D) = \frac{21}{20}[/tex]
Which best explains whether a triangle with side lengths 2 inches 5 inches in 4 inches is an acute triangle
Answer:
The Pythagorean Theorem is a helpful tool that best explains whether a triangle with side lengths 2 inches, 5 inches, and 4 inches is an acute triangle or an obtuse type of triangle. Under the Pythagorean Theorem, a certain triangle is an acute triangle if a^2 + b^2 is greater than c^2.
Step-by-step explanation:
im not sure if this helps but....
Triangle with side 2 in , 4 in and 5 in is an Obtuse angled triangle; it is not an Acute angles triangle.
How are triangles discriminated based on angles?If all of three angles of a triangle are < 90° then triangle is acute.
If one of the angle is of 90° then the triangle is right angled triangle.
If one of the angle is > 90° then triangle is called obtuse triangle.
How to identify if a triangle is acute, right angled or obtuse?
Let we have:
H = biggest side of the triangle
And let we get A and B as rest of the two sides.
Then we get:
If A^2+B^2 > H^2 , then triangle is obtuse
Given:
Length of the sides of the triangle; 2 , 5 and 4inches
If a , b and c is sides of the triangle such that c is the longest side then;
1). if c² > a² + b² implies that triangle is Acute angled.
2). if c² = a² + b² implies that triangle is Right angled.
3). if c² < a² + b² implies that triangle is Obtuse angled.
We have, a = 2 in , b = 4 in and c = 5 in
So, c² = 5² = 25
a² + b² = 2² + 4² = 4 + 16 = 20
therefore; c² > a² + b²
Therefore, Triangle with side 2 in , 4 in and 5 in is an Obtuse angled triangle. It is not an Acute angles triangle.
Learn more about the triangles;
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Fill in the table using this function rule.
y= 3x - 3
Answer:
1. -3*-4+3= 15
Y=15
2.-3*-2+3=9
Y=9
3. -3*0+3=3
Y=3
4. -3*2+3= -3
Y= -3
00:00
Hei has the element shown for his science experiment. How many kilograms of the material does he have?
(1.000 grams = 1 kilogram)
Copper
3,508 g
350.8 kilograms
35.08 kilograms
3.508 kilograms
0.3508 kilograms
Answer:
3.508 kilograms
Step-by-step explanation:
This question can be solved using a rule of three.
We have that each kilogram is 1000 grams. How many kilograms are there for 3508 grams?
1kg - 1000g
xkg - 3508g
[tex]1000x = 3508[/tex]
[tex]x = \frac{3508}{1000}[/tex]
[tex]x = 3.508[/tex]
So the correct answer is:
3.508 kilograms
Uta invests an amount into a compound interest investment account that pays 6% a year. After six years, she withdraws her
total balance of $500. Using the formula A - P(1 + r), how much money did Uta initially invest?
$180.00
$320.00
$352.48
$471.70
Answer:
$352.48
Step-by-step explanation:
500 = P(1+6/100)^6
500 = P(1.141851912)
P = 500 / 1.1418519112 = 352.48
A polynomial function had -5+ root 3i as a root which of the following must also be a root of the function
Answer:
none of the above (talk to your teacher about this)
Step-by-step explanation:
If a polynomial has real coefficients, complex roots come in conjugate pairs.
A root of [tex]-5+\sqrt{3} i[/tex] will have a conjugate of [tex]-5-\sqrt{3}i[/tex], which will also be a root.
__
Here, it looks like the given root is [tex]-5+\sqrt{3i}[/tex], which is different from [tex]-5+\sqrt{3}i[/tex]. None of the listed choices is the complex conjugate of this value.
The value of [tex]-5+\sqrt{3i}[/tex] is ...
[tex]-5+\sqrt{3i}=-5+(\sqrt{\dfrac{3}{2}}+\sqrt{\dfrac{3}{2}}i)[/tex]
so its conjugate is ...
[tex](-5+\sqrt{3i})^*=-5+\sqrt{\dfrac{3}{2}}-\sqrt{\dfrac{3}{2}}i=\boxed{-5+\sqrt{-3i}}[/tex]
You will note that this is not among the answer choices.
_____
Additional comment
When a problem like this has an error in its presentation, we highly recommend you discuss it with your teacher (to get it corrected or deleted for future students). If you feel you must select one of the (erroneous) answer choices, your computer will probably accept the choice of [tex]-5-\sqrt{3i}[/tex], the first one.
Answer:it’s A
Step-by-step explanation:
I got it right on edg
During Ashland High School basketball games, the snack bar sells both cheese and pepperoni pizza slices. Last night, the snack bar sold 143 slices of pizza. They sold 10 times as many pepperoni slices as cheese slices.
How many slices of cheese pizza did the snack bar sell last night?
slices of cheese pizza
Answer:
13 slices of cheese pizza
Step-by-step explanation:
Consider grouping the slices so there are 10 pepperoni and 1 cheese in each group of 11. Then 143 slices represents 143/11 = 13 groups. Since there is 1 cheese slice in each group, ...
13 slices of cheese pizza were sold
The cone in the diagram has the same heght and base area as the prism. What is the ratio of the volume of the cone to the volume of the
prism
base area =B
base area =
DA
volume of cone
volume of prism
B volume of cone
volume of prism
1
3
Ос
volume of cone
នាង
Bones reserved
Answer:
1/3
Step-by-step explanation:
The volume of a prism in terms of base area (B) and height (h) is ...
V = Bh
The volume of a cone in terms of base area (B) and height (h) is ...
V = (1/3)Bh
Then the desired ratio is ...
cone volume / prism volume = ((1/3)Bh)/(Bh) = 1/3
The ratio of the volume of the cone to the volume of the prism is 1/3.
An architect is designing a triangular shaped plot of land. The base of the land is 100.8 ft and the height of the land is 96.3 ft. Find the available floor area of the building. Type your answer. Do not include a label, just the numbers.
Answer:4853.52
Step-by-step explanation:
base=100.8ft
Height=96.3ft
Area of =(base x height) ➗ 2
Area of =(100.8x96.3) ➗ 2
Area of =9707.04 ➗ 2
Area of =4853.52
PLEASE HELP WITH THIS EASY MATH QUESTION!! it’s down below!!!!!!
Answer:
1
Step-by-step explanation:
x^2 + 2x + 1 = (x+1)^2
Answer:
3
Step-by-step explanation:
Hope this helps.
Find the area of a semi-circle with radius, r = 83cm.
Give your answer rounded to 1 DP.
Which of the following is an example of a matched pairs design? A. A teacher calculates the average scores of students on a pair of tests and wishes to see if this average is larger than 80%. B. A teacher compares the pre-test and post-test scores of students. C. A teacher compares the scores of students using a computer based method of instruction with scores of other students using a traditional method of instruction. D. A teacher compares the scores of students in her class on a standardized test with the national average score.
Answer:
B. A teacher compares the pre-test and post-test scores of students
Step-by-step explanation:
the answer is true, because it is a good example to compare the tests between students, we know that a matching pair design is a random model and is used when the experiment allows grouping subjects in pairs based on a variable and each pair will receive randomly a different handling, the answer A is not true because in the example all students are uniformly averaged and the variable is not correlated with subgroups, option c is incorrect because the variable was not randomized and generates classification bias and the option d is incorrect because the teacher compares a small sample as her class with a score of a total sample, but does not intervene on her students when selecting the corresponding group
Matched pair design describes an experimental technique whereby subjects having certain variable or characteristic are paired or matched based on that variable, usually called the key variable. Hence, an example of a matched pair design is "a teacher compares the pre-test and post-test scores of students."
In these type of experimental design, the key or common variable pertinent to both matched subjects is of utmost importance. The only option where, the variable shared is common is the pretest and posttest scores. In the other options, comparing traditional and computer based instructions doesn't match ; similarly, standardized score and national average do not match perfectly.Hence, the most appropriate option is A.
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Rewrite the expression 5(2x+1) using the Distributive Property
Answer:
10x+5
Step-by-step explanation:
5(2x+1)
Using distributive property, which is
A(B+C)=(A×B)+(A×C)
=(5×2x)+(5×1)
=10x+5
Hope it helps :)
Meg is building a rectangular prism with cubes. Which is the volume of Meg's
rectangular prism?
Answer:
48
Step-by-step explanation: 4x8=32 2x8=16 32+16=48 :)
Jen's test grades for this term are 85, 92, and 95. She wants to have a test average of at least 90 for this term, and she will have one more test. What is the lowest score that she can get to have a test average of at least 90?
Answer:
88 points
Step-by-step explanation:
If she has 85, 92, and 95, she has an average of 90 2/3. To get the lowest score, first do 272+90=362. 362/4=90.5. Next do 272+88, the next lowest even number. 272+88=360. 360/4=90.
Answer:
88 points
Step-by-step explanation:
The owner of a bicycle store had a sale on bicycles (two-wheelers) and tricycles (three-wheelers). Each cycle had two pedals. When he counted the total number of pedals of the cycles, he got 50. When he counted the total number of wheels of the cycles, he got 64. Explain how you figured out how many tricycles were offered in the sale.
Let x represent number of bicycles and y represent number of tricycles.
We know that a bicycle has 2 pedals and a tricycle has 32 pedals as well.
We have been given that when the owner counted the total number of pedals of the cycles, he got 50. We can represent this information in an equation as:
[tex]2x+2y=50...(1)[/tex]
[tex]2x=50-2y...(1)[/tex]
We know that a bicycle has 2 wheels and a tricycle has 3 wheels.
We have been given that when the owner counted the total number of wheels of the cycles, he got 64. We can represent this information in an equation as:
[tex]2x+3y=64...(2)[/tex]
Upon substituting equation (1) in equation (2), we will get:
[tex]50-2y+3y=64[/tex]
[tex]50+y=64[/tex]
[tex]50-50+y=64-50[/tex]
[tex]y=14[/tex]
Therefore, 14 tricycles were offered in the sale.
