Answer:
y -4 = 3(x +1)
Step-by-step explanation:
The point-slope form of the equation of a line with slope m passing through point (h, k) is ...
y -k = m(x -h)
Your values for these parameters are ...
m = 3
(h, k) = (-1, 4)
Filling these into the form gives the equation you're looking for:
y -4 = 3(x +1)
Which of the following is an odd function?
Of(x) = 3x2 + x
Of(x) = 4x3 + 7
Of(x) = 5x2 + 9
Of(x) = 6x2 + 2x
Answer: Neither function is odd.
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.
Answer:
D
Step-by-step explanation:
Yes, it does because it passes the vertical line test. We don't have to worry about the horizontal line test because it isn't a valid test. For example, let's imagine a parabola. That doesn't pass the horizontal line test, but it's still a function. This means that we can eliminate option B. We can do the same to C because a function doesn't necessarily have to be a straight line (like the parabola). That leaves us with options A and D. These both have to do with the vertical line test, so let's do it! If we place a vertical line anywhere on this graph, we will see that there are no vertical lines that intersect at 2 places with the graph. Therefore, it passes the vertical line test, and is a function. Hope this helps!
Solve for x in terms of b and K:
bx - 2 = K
Answer:
x=1b(k+2)=1b(k+2.0)
= k+2/x
Step-by-step explanation:
Step 1: Add 2 to both sides.
Step 2: Divide both sides by x
Answer: x=1b(k+2)=1b(k+2.0)
Hope this helps.
Part i
Let's try something a bit different. The four brothers know that Bruce weighs
more than Alan. Write an expression to represent how much more Bruce
weighs than Alan. Write the expression in terms of Dylan's weight, d.
Answer:
We know nothing about Dylan so we can not write an expression about dylans weight.
Step-by-step explanation:
B- Bruce's Weight
A- Alan's Weight
B-A= H
Where H is how many more pounds that Bruce weighs than Alan.
Answer:
Bruce's weight in terms of Dylan's weight is 3d-12.
Alan's weight in terms of Dylan's weight is 2d+3
So, the expression (3d-12) -(2d+3) represents how much more Bruce weighs than Alan.
Step-by-step explanation:
A small school had 60% boys and the rest are girls if the number of boys is 48 what is the total number of boys and girls all together in the school
Hey there!
When dealing with percent word problems, the word "is" means equals. Let's see what we can do with your problem.
If the small school had 60% boys, it will have 40% girls. The number of boys is 48, which should equal 60% of the total, which we can model below, with t representing the total number of kids. In decimal form, 60% is 0.6.
0.6t=48
We divide both sides by 0.6.
t=80
Therefore, there are 80 total kids at the school.
We can also check our answer below.
BOYS: 0.6(80)= 48
GIRLS: 0.4(80)=32
48+32=80
I hope that this helps!
Solve x^2+11x=−10 by completing the square.
The solutions are x= ___ and x=___.
Answer:
-10, -1
Step-by-step explanation:
To complete the square, we add the square of half the x-coefficient:
x^2 +11x +5.5^2 = -10 +5.5^2
(x +5.5)^2 = 20.25
Taking the square root, we get ...
x +5.5 = ±4.5
x = -5.5 ±4.5 = {-10, -1}
The solutions are x = -10 and x = -1.
The proportional relationship between the number of gallons of chocolate ice cream and number of gallons of vanilla ice cream ice creamery freezes daily is graphed below
what does the points (6,2) represent on the graph?
Answer:
For every 6 gallons of vanilla ice cream frozen, the ice creamery freezes 2 gallons of chocolate ice cream.
Step-by-step explanation:
E-Z
WILL GIVE BRAINLIEST ANSWER TO WHOEVER ANSWERS FIRST AND CORRECT PLEASE EXPLAIN WHY YOU ARE CORRECT
Answer:
x = 2
Step-by-step explanation:
(DG + EF) / 2 = AB
(5x - 4 + 8x + 2) / 2 = 12
13x - 2 = 24
13x = 26
x = 2
What is the probability that a student chosen randomly from the class does not have a cat
Answer:
20/27 or 0.74
Step-by-step explanation:
The total number of people is: 2+6+5+14 = 27
Total number of people that don't have a cat is: 6+14 = 20
20/27 = 0.74
Last year there were 1,435 8thgrade students enrolled at your school. This year there are 1,220. What is the percent change in the number of 8thgrade students?
Hi there!
Answer:
-14.98%(or -15%).
Step-by-step explanation:
1)To find the percent decrease,all you have to do is minus the original number from the decreased amount so:
1435-1220= 215
2)Then you divide this answer by the original number again so:
215÷1435= 0.1498
3)Then you times the decimal by 100 so:
0.1489x100= -14.98%(or -15%).
Hope this helps!
What is the solution to the following equation(-14)+x=14
Answer:
x = 28
Step-by-step explanation:
(-14)+x=14
Add 14 to each side to isolate x
14+(-14)+x=14+14
x = 28
Answer:
[tex]x = 28[/tex]
Step-by-step explanation:
[tex] - 14 + x = 14 \\ x = 14 + 14 \\ x = 28[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
I need help with -1 + (-4) + (-9), I know the answer but i need the work.
Answer:
-14
Step-by-step explanation:
Answer:
-14
Step-by-step explanation:
-1 + (-4) + (-9)
-1 -4 -9 = -14
Note that a positive sign multiplying a negative sign in a bracket gives negative.
Give step by step answer
Answer:
2 1/2 cups of vegetables
Step-by-step explanation:
This is an averages question, so add all numbers and divide by amount of numbers
2+1+2+1+3+6=15
15/6=2 1/2
Answer:
Nancy put 3 cups of vegetables in each container.
Step-by-step explanation:
1. Add the amount of vegetables together
2. Divided the number of vegetables by 5, since they are put into 5 separate containers.
____________________________________________________________2+1+2+1+3+6 = 15
15 divided by 5 or 5 x ? = 15
4) A garden is in the shape of a square with a perimeter of
56 feet. The garden is surrounded by two fences. One fence is around the perimeter of the garden, whereas the second fence is 2 feet from the first fence on the outside. If the material used to build the two fences is $1.21 per foot, what was the total cost of the fences?
It costs $ ______ to build the fences.
Answer:
It costs $154.88 to build the fences.
Step-by-step explanation:
Perimeter of square = [tex]4 \times Side[/tex]
We are given that A garden is in the shape of a square with a perimeter of 56 feet.
So,[tex]4 \times side = 56[/tex]
Side =[tex]\frac{56}{4}=14 feet[/tex]
So, Side of square park = 14 feet
One fence is around the perimeter of the garden, whereas the second fence is 2 feet from the first fence on the outside.
Outer length = 14+2+2=18 feet
So, Perimeter of outer fence = [tex]4 \times side = 4 \times 18 = 72 feet[/tex]
Cost of fencing 1 foot = $1.21
Cost of fencing 56 feet =[tex]56 \times 1.21=67.76[/tex]
Cost of fencing 72 feet = [tex]72 \times 1.21=87.12[/tex]
Total cost = 67.76+87.12=154.88
Hence It costs $154.88 to build the fences.
Solve for x and y
3x + 2y = 16
7x + y = 19
Answer:
(x, y) = (2, 5)
Step-by-step explanation:
Double the second equation and subtract the first:
2(7x +y) -(3x +2y) = 2(19) -(16)
11x = 22
x = 2
In the second equation, ...
7(2) +y = 19
y = 19 -14 = 5
The solution is (x, y) = (2, 5).
What is the volume of an ice cream cone if the radius is 2 cm and the height is 7 cm
Hello!
Answer:[tex]\boxed{ \bf The~volume~is~29.32~cm^3.}[/tex]
___________________________________________________
Explanation:To find the volume of the cone, we must use a certain formula:
V = [tex]\frac{1}{3}[/tex]πr²h
Let's plug in our values:
V = [tex]\frac{1}{3}[/tex]π(2)²(7)
V = [tex]\frac{1}{3}[/tex]π(4)(7)
V = [tex]\frac{1}{3}[/tex]π(28)
V = 29.32
Farmers know that driving heavy equipment on wet soil compresses the soil and injures future crops. Here are data on the "penetrability" of the same type of soil at two levels of compression. Penetrability is a measure of how much resistance plant roots will meet when they try to grow through the soil. Compressed Soil 2.82 2.66 2.98 2.82 2.76 2.81 2.78 3.08 2.94 2.86 3.08 2.82 2.78 2.98 3.00 2.78 2.96 2.90 3.18 3.16 Intermediate Soil 3.18 3.38 3.1 3.40 3.38 3.14 3.18 3.26 2.96 3.02 3.54 3.36 3.18 3.12 3.86 2.92 3.46 3.44 3.62 4.26 Use the data, omitting the high outlier, to give a 99% confidence interval for the decrease in penetrability of compressed soil relative to intermediate soil. Compute degrees of freedom using the conservative method.
Answer:
Step-by-step explanation:
Hello!
To see if driving heavy equipment on wet soil compresses it causing harm to future crops, the penetrability of two types of soil were measured:
Sample 1: Compressed soil
X₁: penetrability of a plot with compressed soil.
n₁= 20 plots
X[bar]₁= 2.90
S₁= 0.14
Sample 2: Intermediate soil
X₂: penetrability of a plot with intermediate soil.
n₂= 20 (with outlier) n₂= 19 plots (without outlier)
X[bar]₂= 3.34 (with outlier) X[bar]₂= 2.29 (without outlier)
S₂= 0.32 (with outlier) S₂= 0.24 (without outlier)
Outlier: 4.26
Assuming all conditions are met and ignoring the outlier in the second sample, you have to construct a 99% CI for the difference between the average penetration in the compressed soil and the intermediate soil. To do so, you have to use a t-statistic for two independent samples:
Parámeter of interest: μ₁-μ₂
Interval:
[(X[bar]₁-X[bar]₂)±[tex]t_{n_1+n_2-2;1-\alpha/2}[/tex]*Sa[tex]\sqrt{\frac{1}{n_1} +\frac{1}{n_2} }[/tex]]
[tex]t_{n_1+n_2-2;1-\alpha/2}= t_{20+19-2;1-(0.01/2)}= t_{37; 0.995}= 2.715[/tex]
[tex]Sa= \sqrt{\frac{(n_1-1)S_1^2+(n_2-1)S_2^2}{n_1+n_2-2} } = \sqrt{\frac{19*0.0196+18*0.0576}{20+19-2} }= 0.195= 0.20[/tex]
[(2.90-2.29)±2.715*0.20[tex]\sqrt{\frac{1}{20} +\frac{1}{19} }[/tex]]
[0.436; 0.784]
I hope this helps!
Using the t-distribution, it is found that the 99% confidence interval for the decrease in penetrability of compressed soil relative to intermediate soil is (-0.418, 1.182).
Using a calculator, we find that for the compressed soil, the mean and the standard deviation are given by:
[tex]\mu_C = 2.9075, s_C = 0.1427[/tex]
For the intermediate soil, omitting the high outlier of 4.26, we have that:
[tex]\mu_I = 3.2895, s_I = 0.2385[/tex]
The distribution of the decrease has mean and standard deviation given by:
[tex]\overline{x} = \mu_I - \mu_C = 3.2895 - 2.9075 = 0.382[/tex]
[tex]s = \sqrt{s_C^2 + s_I^2} = \sqrt{0.1427^2 + 0.2385^2} = 0.2779[/tex]
The interval is given by:
[tex]\overline{x} \pm ts[/tex]
By the conservative method, the amount of degrees of freedom is one less than the smaller sample size, which in this case is 19, for the intermediate soil.
Then, critical value, using a t-distribution calculator, for a two-tailed 99% confidence interval, with 19 - 1 = 18 df, is t = 2.8784.Then:
[tex]\overline{x} - ts = 0.382 - 2.8784(0.2779) = -0.418[/tex]
[tex]\overline{x} + ts = 0.382 + 2.8784(0.2779) = 1.182[/tex]
The 99% confidence interval for the decrease in penetrability of compressed soil relative to intermediate soil is (-0.418, 1.182).
A similar problem is given at https://brainly.com/question/15180581
What is the square root of r^64
Answer: r8
Step-by-step explanation:
The square root of r⁶⁴ is r³².
Here, we have,
The square root of a number r⁶⁴ can be found by taking the square root of the base (r) and dividing the exponent (64) by 2.
Square root of r⁶⁴:
√(r⁶⁴)
Since the exponent is even (64), we can divide it by 2:
√(r⁶⁴⁻²)
√(r³²)
Therefore, the square root of r⁶⁴ is r³².
To learn more on square root click:
brainly.com/question/29286039
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The radius of a circle is 11 in. Find its area in terms of \piπ.
Answer:
A = 121 pi in^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
A = pi * 11^2
A = 121 pi in^2
Answer:
121 pi in^2
Step-by-step explanation:
Area = pi *. R^2
= pi x 11^2= 121pi. in^2
calculate the missing length on the right triangle solve for c using the z y t h a g o r e a n t h e o r e m a2 plus B2 equals C2
Answer:
Step-by-step explanation:
Since the diagram to this question is not given ; we will just explain the concept of the right angled triangle and a means by which we can use the Pythagoras theorem in solving such related question.
A right angled triangle has to legs which serves as the base line in which the height of the right angle is 90°.
Now; If we have a base line AB; let say , we chose any convenient radius at a and bisect an arc. at the arc we make another arc to the right ; we will have an angle at A which is 60°, So B will form a straight line up serving the role of the right angle which is 90° and where both met will be C which is 30°
So now we have a triangle ABC, if the line facing ∠ A = a ; the line facing ∠ B = b and the line facing ∠ C = c
Then; we can solve for side c if ; side a and side b are known by using the Pythagoras theorem.
Using Pythagoras theorem.
a² = b² + c²
-c² = b² - a²
Multiplying through with -
c² = - b² + a²
[tex]\mathbf{ c = \sqrt{-b^2 + a^2}}[/tex]
Since ; we already make c the subject of the formula; from the missing diagram, we can easily slot the values of a and b given to solve for the value of c using the above derived equation.
I hope that helps!.
please help i will make you the brainliest
Answer:
2. Growth of American Cities
3. Eliminated competition by forming monopolies
4. Explain the differences in income between the rich and poor
5. Put more money into circulation
6. The 14th and 15th amendments
what is a placebo and why is it important in an experiment to test the effectiveness of a drug
Answer:
A placebo is a useless substance that takes the place of an actual drug
Step-by-step explanation:
This is to test to see if the drug actually does anything, or if the patients are really just deceived by their imagination
Five friends plan to share the cost of a meal at a restaurant. Each friend’s share is at most $13. How much could the total meal cost?
Answer:
65
Step-by-step explanation:
Use the dimensions of the rectangular prism to label the indicated dimensions of its net.
Answer:
what do u mean
Step-by-step explanation:
The tape diagram represents an equation.
Answer:
20
Step-by-step explanation:
6p = 120
p = 120/6
p = 20
Sarah rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total less than 2.
Answer:
0/6
Step-by-step explanation:
because there are the numbers from 1-6 and no matter what you add you cant get it lower than 2 (1+1)
Answer:
Step-by-step explanation:
Multiples of 5 = 5 and 10
Ways to roll a 5 = (1,4) ( 4,1) (2,3) (3,2)
Ways to roll a 10 = (5,5) (4,6) (6,4)
We have 7 possible outcomes for a multiple of 5...and there are 36 possible outcomes in total
So P (multiple of 5) = 7 / 36
Determine the volume of the rectangular prism with a base area of
30.38 square yards and a height of 3.8 yards.
Answer:
[tex] V = 30.38 yd^2 * 3.8 yd = 115.44 yd^3[/tex]
Step-by-step explanation:
For this case we know that the base area is [tex]A = 30.38 yd^2[/tex]
And the height is [tex] h = 3.8 ft[/tex]
The volume for a rectangular prism is given by:
[tex] V = A h[/tex]
And replacing the info we got:
[tex] V = 30.38 yd^2 * 3.8 yd = 115.44 yd^3[/tex]
Answer:
Volume = 115.44 cubed yard
Step-by-step explanation:
Given that ;
base area = 30.38 square yards
height = 3.8 yards.
The volume for a rectangular prism is length * width * height
Area = length * width
we are given area = 30.38 square yards
Volume = Area * height
Volume = 30.38 square yards * 3.8 yards.
Volume = 115.44 cubed yard
Therefore, the answer is = 115.44 cubed yard
A regular polygon has an interior angle of 172º.
Find the number of sides of this polygon.
Answer:
45 sides
Step-by-step explanation:
If each of the interior angles is 172 degrees, then each of the exterior angles is 8 degrees. Since the sum of the exterior angles of any polygon is 360 degrees, there are 360 / 8 = 45 exterior angles and 45 sides.
Find the area of the circle r=6 ft 113.04 ft2, 9.42 ft2, 28.26ft2, 37.68 ft2, 18.84 ft2
Answer:
113.04ft^2
Step-by-step explanation:
Like before [tex]A=\pi r^2\\=\pi 6^2\\=113.04ft^2[/tex]
(A\B)xC = (AxC)\(BxC) prove this please
Answer:
to remove the brackets you need to multiple A by C and B by C and the / stays the same so it's (A×C)/(B×C)
Answer
Shown from explanation
Step-by-step explanation:
Imagine we have a set A and a set B such that set B is contained in set A .
Therefore;
A\B is a mathematical notation in set theory that means;
A\B = A-B it means complement of A
Look at the attachment for a better understanding of the concept.
Therefore:
(A\B) ×C = (A-B) × C = AxC - B× C= AC- BC
Similarly;
(A×C)\(B×C) = (AC)\(BC)= AC - BC from set theory.
Hence, (A\B) ×C =(A×C)\(B×C)