Answers
Answer:
4/3
Step-by-step explanation:
In slope-intercept form \(y=mx+b\), \(m\) represents the slope of the line.
Let's write \(3x+4y=-2\) in slope-intercept form by isolating \(y\):
\(3x+4y=-2,\\4y=-3x-2,\\y=-\frac{3}{4}x-\frac{1}{2}\)
Therefore, the slope of this line is \(\frac{-3}{4}\). To find the slope of a line perpendicular to it, multiply the reciprocal of the slope by -1 (take the negative reciprocal).
Therefore, the slope of a line perpendicular to \(3x+4y=-2\) is:
\(m_{perp}=-(-\frac{4}{3})=\boxed{\frac{4}{3}}\)
Answer:
4/3
Given equation :-
3x + 4y = -2 4y = -3x - 2 y = (-3x - 2)/4 y = -3/4 x - 1/2Slope :-
m = -3/4Slope of perpendicular line :-
m' = -(1/m )m' = -( 1 ÷ -3/4 ) m' = -1 * -4/3 m = 4/3Related Questions
WEEK 2 Direction: Answer the following problems. 1. Jun wanted to know how much ice cream he got in on scoop. The radius of a scoop is 2 inches. Find the volum Use 3.14 for pi. (SHOW YOUR SOLUTION) a) What is asked in the problem? b) What are the given facts? c) What is the formula to be used? d) Number Sentence e) Final answer. (show your solution pls)
Answers
We are given the radius of the scoop and asked to find the volume of ice cream in one scoop. By using the formula for the volume of a sphere and substituting the given radius, we can calculate the volume. The final answer is approximately 33.49 cubic inches.
a) The problem asks for the volume of ice cream in one scoop.
b) The given fact is that the radius of the scoop is 2 inches.
c) The formula to be used is the volume of a sphere, which is given by V = (4/3)πr³, where V is the volume and r is the radius.
d) Number Sentence:
- Given: Radius (r) = 2 inches
- Formula: V = (4/3)πr³
- Substituting the value: V = (4/3)π(2)³
- Simplifying: V = (4/3)π(8)
- Evaluating: V = (4/3)(3.14)(8)
- Multiplying: V = 33.49333333 (approx.)
e) Final answer: The volume of ice cream in one scoop is approximately 33.49 cubic inches.
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Approximately 38 percent of people living in Region W have the blood type 0 positive. A random sample of 100 people from Region X revealed that 35 people in the sample had the blood type 0 positive. Consider a hypothesis test to investigate whether the percent of people in Region X with 0 positive blood is less from that of in Region W. Which of the following is the appropriate alternative hypothesis for the investigation? a. Ha: proportion 70.38 b. Ha: proportion >0.38 c. Ha: proportion =0.38 d. Ha: proportion <0.38'
Answers
The appropriate alternative hypothesis for the investigation is: Ha: proportion < 0.38
The correct option is option D)
What is null and alternate hypothesis?
Null and alternate hypothesis are hypothesis in statistical testing. A null hypothesis assumes that is no difference. where as an alternate hypothesis assumes that there is a difference. A null hypothesis is denoted by H0 and alternate hypothesis is denoted by H1.
The null hypothesis is the proportion of people in Region X with blood type O positive is equal to the proportion in Region W. And that proportion is 0.38
Hence by null hypothesis we have
H0: proportion = 0.38
The alternative hypothesis, denoted by Ha, is the hypothesis that we want to test against the null hypothesis.
In this case, we want to investigate whether the proportion of people in Region X with blood type O positive is less than the proportion in Region W. So, the appropriate alternative hypothesis is:
Ha: proportion < 0.38
Hence, The appropriate alternative hypothesis for the investigation is: Ha: proportion < 0.38
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Two lines intersect and create four angles one angle is 70 degrees the angle x and y are both linear angle pairs with 70 degrees the angles x is a vertical angle to 70 degrees find the degrees of the angles x and y and z.
Answers
Answer:
The angles x, y, and z are 70 degrees, 110 degrees, and 110 degrees, respectively.
Step-by-step explanation:
If one angle is 70 degrees, then its corresponding angle will also be 70 degrees. Therefore, the two linear angle pairs with 70 degrees are:
70 degrees and its corresponding angle (also 70 degrees)
x degrees and y degrees, where x and y add up to 180 degrees (because they are linear angle pairs)
Since x is a vertical angle to 70 degrees, it is also equal to 70 degrees. Therefore:
x = 70 degrees
y = 180 - x = 180 - 70 = 110 degrees
To find the angle z, we can use the fact that the sum of the angles around a point is 360 degrees. Since the two lines intersect and create four angles, the angles around the point where they intersect must add up to 360 degrees. Therefore:
z + 70 + 70 + 110 = 360
z + 250 = 360
z = 110 degrees
Therefore, the angles x, y, and z are 70 degrees, 110 degrees, and 110 degrees, respectively.
Find the sum of the first 27 terms
of the arithmetic sequence.
First, fill in the equation.
a₁
= 5 and a27
Sn = 2/(a₁ + an)
Sn
=
[?]
2
+
=
83
Answers
Answer:
S₂₇ = 1188
Step-by-step explanation:
using the given formula for \(S_{n}\) , that is
\(S_{n}\) = \(\frac{n}{2}\) (a₁ + \(a_{n}\) )
with a₁ = 5 and \(a_{n}\) = a₂₇ = 83 , then
S₂₇ = \(\frac{27}{2}\) (5 + 83) = 13.5 × 88 = 1188
What is the radius of the circle? What is the diameter of the circle? 15
Answers
The radius of a circle is the distance between its center and its circumference.
From the image, it is known that the radius of the given circle is 15.
The diameter of a circle is twice its radius. To find the diameter, multiply the radius by two:
\(2\cdot15=30\)Therefore, the diameter of the circle is 30.
Find TAN
Instructions: Find the value of the trigonometric ratio. Make
sure to simplify the fraction if needed.
Answers
please mark this answer as brainlist
The ratio of top dogs to fat cats was 24 to 19. if they were 152 fat cats, how many top dogs were there?
Answers
The ratio shows how many times one value is contained in another value.
The number of top dogs is 192.
What is a ratio?The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
We have,
The ratio of top dogs to fat cats was 24 to 19.
if they were 152 fat cats.
This means,
Number of top dogs = 24x
Number of fat cats = 19x
Now,
Number of fat cats = 152
This means,
152 = 19x
x = 8
Now,
Number of top dogs = 24x
= 24x
= 24 x 8
= 192
Thus,
The number of top dogs is 192.
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Most number tricks involve some math. This one definitely does:
Ask an audience member to select a number from 1 to 10.
Tell that person to do the following:
Multiply the selected number by 2.
Add 6 to that product.
Divide the sum by 2.
Subtract the original value of the card from that quotient.
Dramatically announce that the result is 3.
Why is the result always 3 no matter what number is selected? Write a variable expression or equation to model the number trick. (Hint: Use a variable for the selected number.) Then use your expression or equation to explain how the trick works.
Discussion Board Instructions
When you have finished, post your explanation of the number trick in the Analyze a Number Trick discussion board.
Remember to name your post with the title Choice A: How Does That Number Trick Work?
Answers
The variable expression to model the trick is (2x+6)/2 -x.
What is an algebraic expression?In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression.
Let the chosen number be x.
Multiply the number by 2:
2x
Add 6 to the product:
2x + 6
Divide the sum by 2:
(2x + 6)/2
Subtract the original value of the card from that quotient:
(2x + 6)/2 -x
Hence, the variable expression to model the trick is (2x+6)/2 -x.
Now, simplify the expression:
(2x+6)/2 -x
= x + 3 -x
= x
Hence, the expression gives 3 on simplification, that's how the trick works.
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The following list is of 4 measurements.
Answers
There are four levels of measurement – nominal, ordinal, and interval/ratio – with nominal being the least precise and informative and interval/ratio variable being most precise and informative.
solve from here by understanding what i have write
An artist mixes paint to make new colors.
She uses 13 cup of red paint and 13 cup of yellow paint to make a batch of orange paint.
If the artist has 2 cups of red paint available and 3 cups of yellow paint available,
how many batches of orange paint can she make?
Enter your answer in the box.
Answers
Answer:
The artist can make six batches of orange paint and it remains one cup of yellow paint
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Amount of red paint for one batch of orange paint = 1/3 of a cup
Amount of yellow paint for one batch of orange paint= 1/3 of a cup
Amount of red paint available = 2 cups
Amount of yellow paint available = 3 cups
2. How many batches of orange paint can she make?
2 cups of red paint = 6/3 = 6 batches of orange paint
3 cups of yellow paint = 9/3 = 6 batches and it remains one cup of yellow paint
The artist can make six batches of orange paint and it remains one cup of yellow paint
Step-by-step explanation:
Target is selling a case of soda for $2.50. What would you expect to pay if youbought 12 cases?
Answers
SOLUTION:
Case: Proportions
Given:
A case of soda for $2.50.
Required: Cost of 12 cases.
Method:
\(\begin{gathered} 1case\cong2.50 \\ 12cases= \\ \frac{12}{1}\times2.50 \\ =30 \end{gathered}\)Final answer:
12 cases will cost $30
Describe the steps you would use to solve the equation 5( 2a - 3 ) = 20 + a.
PLEEEEASE HELP ME AND ILL MARK YOU BRAINLIEST
Answers
Answer:
Distribute the 5 to get 10a-15=20+a and solve
A calf raiser mixes a batch of milk replacer for 15 calves. Each calf gets two
quarts of milk replacer. If the calf raiser uses 960 oz. of replacer and needs to
add 34 as much water as milk replacer, how many ounces of water does she need?
Answers
Answer:
The calf raiser uses 960 oz of milk replacer for 15 calves, so each calf gets 960 oz / 15 = 64 oz of milk replacer.
To convert this to quarts, we need to divide by 32 (since there are 32 oz in a quart)
64 oz / 32 oz/quart = 2 quarts
Each calf gets 2 quarts of milk replacer and the calf raiser needs to add 34 as much water as milk replacer
So the total amount of water she needs is 2*34 = 68 quarts
To convert the quarts of water to ounces we need to multiply by 32 (since there are 32 oz in a quart)
68 quarts * 32 oz/quart = 2176 oz of water.
So the calf raiser needs 2176 ounces of water to mix with the milk replacer for 15 calves.
. The perimeter of a rectangle is twice its area. If the perimeter is 32L and the breadth is the square of its length, L, find a. length b. Breadth c. Perimeter d. Area of the rectangle.
Answers
The rectangle have length = 4, breath = 16, perimeter = 40, and area = 64.
How to evaluate for the length, breadth, perimeter, and area of the rectangleThe perimeter of a rectangle is the sum of length of its four sides or the sum of its length and breadth, multiplied by two. While the area is the length multiplied by the breadth.
Perimeter = 2(L + B)
Area = L × B
From the question;
2(L + B) = 2LB
32L = 2L(L²)...(1) {since B = L²}
from equation (1), L = 4 by solving for L
so;
B = 4² = 16
perimeter of the rectangle = 2(4 + 16) = 40
area of the rectangle = 4 × 16 = 64
Therefore, the rectangle have length = 4, breath = 16, perimeter = 40, and area = 64.
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Find the product of (5/16)(-2)(-4)(-4/5)
Answers
Answer:
It's -2
(5/16)(-4/5)=(-20/80)
(-2)(-4)=(8)
(8)(-20/80)= -160/80
-160/80=-2
find the percentage error using 0.67 as an estimate 2/3
Answers
Answer:
((.67 - (2/3))/(2/3))(100%) = .5%
The domain of (fg)(x) consists of the numbers x that are in the domains of both f and g.
Answers
The statement "The domain of (fg)(x) consists of the numbers x that are in the domains of both f and g" is FALSE.
Domain is the values of x in the function represented by y=f(x), for which y exists.
THe given statement is "The domain of (fg)(x) consists of the numbers x that are in the domains of both f and g".
Now we assume the \(g(x)=x+2\) and \(f(x)=\frac{1}{x-6}\)
So here since g(x) is a polynomial function so it exists for all real x.
\(f(x)=\frac{1}{x-6}\) does not exists when \(x=6\), so the domain of f(x) is given by all real x except 6.
Now,
\((fg)(x)=f(g(x))=f(x+2)=\frac{1}{(x+2)-6}=\frac{1}{x-4}\)
So now (fg)(x) does not exists when x=4, the domain of (fg)(x) consists of all real value of x except 4.
But domain of both f(x) and g(x) consists of the value x=4.
Hence the statement is not TRUE universarily.
Thus the given statement about the composition of function is FALSE.
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A cone-shaped paperweight is 5 inches tall, and the base has a circumference of about 12.56 inches. What is the area of a vertical cross section through the center of the base of the paperweight? Use 3.14 for π .
Answers
The area of the vertical cross section through the center of the base of the paperweight is approximately 12.56 square inches.
To find the area of a vertical cross section through the center of the base of the cone-shaped paperweight, we need to determine the radius of the base first.
The circumference of a circle is given by the formula C = 2πr, where C is the circumference and r is the radius. In this case, we know the circumference is about 12.56 inches, so we can set up the equation:
12.56 = 2πr
To solve for r, we divide both sides of the equation by 2π:
r = 12.56 / (2π)
Now we can calculate the radius:
r ≈ 12.56 / (2 × 3.14)
r ≈ 12.56 / 6.28
r ≈ 2 inches
The radius of the base is approximately 2 inches.
Since the vertical cross section passes through the center of the base, the shape of the cross section is a circle. The formula for the area of a circle is A = \(πr^2\), where A is the area and r is the radius.
Now we can calculate the area of the cross section:
A = \(πr^2\)
A ≈ 3.14 × \((2^2)\)
A ≈ 3.14 × 4
A ≈ 12.56 square inches
Therefore, the area of the vertical cross section through the center of the base of the paperweight is approximately 12.56 square inches.
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Please help me Thank you
Answers
Step-by-step explanation:
help me you nedd to add position
A triangle has side lengths of (8s + 8) centimeters, (s +9) centimeters, and
(8t - 1) centimeters. Which expression represents the perimeter, in centimeters, of
the triangle?
Answers
Answer:
Step-by-step explanation:
(16.2t+3.4u+2.9)cm
Step-by-step explanation:
A triangle is a plane shape that has three sides. The perimeter of a triangle is gotten by taking the sum of all the lengths of the three sides. Let the length of the three sides by s1, s2 and s3, the perimeter of the triangle will be expressed as;
P = s1+s2+s3
Given the side lengths
s1 = (8.1t-6.1)cm
s2 = (8.1t+7.1)cm
s3 = (3.4u+1.9)cm
Perimeter of the triangle = 8.1t-6.1+8.1t+7.1+3.4u+1.9
collect the like terms
P = 8.1t+8.1t+3.4u-6.1+7.1+1.9
P = 16.2t+3.4u+2.9
Hence the expression that represents the perimeter, in centimeters, of the triangle is (16.2t+3.4u+2.9)cm
ASAP thank you Thank everyone
Answers
Answer:
she worked a total of 20 hours
Answer:
h = 21
Step-by-step explanation:
10h + 15 = 225
10h + 15 - 15 = 225 - 15
10h = 210
10 ÷ 10h = 210 ÷ 10
h = 21
What is the volume of a regular pyramid whose base has an area of 36 ft? and whose height is 13 ft?
Answers
Answer:
Volume of regular pyramid = 156 ft²
Step-by-step explanation:
Given:
Area of regular pyramid = 36 ft²
Height of regular pyramid = 13 ft
Find:
Volume of regular pyramid
Computation:
Volume of regular pyramid = [1/3][b][h]
Volume of regular pyramid = [1/3][36][13]
Volume of regular pyramid = [12][13]
Volume of regular pyramid = 156 ft²
20x+8-5x=14+8x+15
Solve for x
Answers
Answer:
7x = 21
x = 3
Step-by-step explanation:
mark me as brainliest ❤️
Answer:
x
Step-by-step explanation:
MNQP is a square. What are the values of t and f?
Answers
Answer:
t = 17.5
f = 12
Step-by-step explanation:
interior corner angles in a square = 90 degrees
4t + 20 = 90
4t = 90 - 20
4t = 70
t = 17.5
7f + 6 = 90
7f = 90 - 6
7f = 84
f = 12
The sum of two times a number and 7 is five times the difference of a number and six. Solve for the variable then Round your answer to the nearest hundredths.
Answers
Answer:
12.33
Step-by-step explanation:
let 'n' = a number
2n + 7 = 5(n - 6)
2n + 7 = 5n - 30
-3n = -37
n = 37/3 or 12.33
The variable is 12 for the given expression.
What is variable?The quantity that may change within the context of mathematical problem or experiment is called variable.
We have,
Sum of two times a number and 7 = five times the difference of a number and 6
Let us assume the variable as 'n'
According to the question, we have
\(2n+7=5(n-6)\)
⇒\(2n+7=5n-30\)
⇒\(-5n+2n=-30-7\)
⇒\(-3n=-37\)
⇒\(n=\frac{-37}{-3}\)
⇒\(n=\frac{37}{3}\)
⇒\(n=12.333\)
⇒\(n=12\) (round off to nearest hundred)
∴ Variable(Number) = 12
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Two cyclists are comparing the variances of their overall paces going uphill. Each cyclist records his or her speeds going up 35 hills. The first cyclist has a variance of 23.8 and the second cyclist has a variance of 32.1. The cyclists want to see if their variances are the same or different. State the null and alternate hypotheses. What is the F Statistic? At the 5% significance level, what can we say about the cyclists
Answers
The rejection regions are if F<0 or F>647.789, we reject \(H_{0}\)
Since F= 0.74 is between 0 and 647.789, we do not reject \(H_{0}\).
So, we can conclude that their variances are the same.
Let \(o1 ^{2}\) be the variance for the first cyclist
Let \(o2^{2}\) be the variance for the second cyclist
Null hypothesis: \(o1^{2}=o2^{2}\)
Alternative hypothesis: \(o1^{2}\) not equal to \(02^{2}\)
The test statistic is
\(F= \frac{s1^{2}}{s2^{2}}\)
\(= \frac{23.8}{32.1}\)
\(= 0.74\)
Given \(a= 0.05\), the critical values are F(0.025, df1=1, df2=2)=0.00(From F table)
F(0.975, df1=1, df2=1)=647.789(from F table)
The rejection regions are if F<0 or F>647.789, we reject \(H_{0}\)
Since F= 0.74 is between 0 and 647.789, we do not reject \(H_{0}\).
So, we can conclude that their variances are the same.
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Un tercio es menor que cuatro centésimos.?
Answers
Answer:
no por que 1/3 es menor que 4
Step-by-step explanation:
What is the total number of outcomes for choosing a numbered card from 1 to 10 and a number on a
number cube labeled one to six?
Answers
the total number of out comes would be 16^2 or 256.
some extra things...
A numbered card from 1 - 10 would be 1 over 10 or 10% chance of picking correctly.
a number cube from 1 - 6 would be 1 over 6 or 16.66% chance of picking correctly.
if you want to combine these and pick one from both, it becomes 1 over 16 or 6.25% chance of picking both correctly.
which transformation could have been applied to Triangle wxy to obtain triangle w'x'y'
Answers
Given a triangle WXY with coordinates
\(\begin{gathered} W(1,6),X(3,1),Y(1,1) \\ \end{gathered}\)With the image of the transformation W'X'Y' coordinates as
\(W^{\prime}(-6,1),X^{\prime}(-1,3),Y(-1,1)\)The transformation rule is
\((x,y)\Rightarrow(-y,x)\)From the transformation rule above, it is observed that the triangle has been rotated 90° counter-clockwise about the origin
The correct option is D
If X1 = 440, Y1 = 220, and X2 = 360, what’s the value of Y2
Answers
Answer:
140 is the answer for y2 because x1 is 80 more than x2 so you would subtract y2 by 80
Answer:
Y2 = 180
Step-by-step explanation:
