Answer:
y = \(\frac{C-Ax}{B}\)
Step-by-step explanation:
Ax + By = C ( subtract Ax from both sides )
By = C - Ax ( isoilate y by dividing both sides by B )
y = \(\frac{C-Ax}{B}\)
Solution is in the attachment!! :)
6/5 Given that and k are roots of the quadratic equation = h(x-2), where h is a constant. Find the values (5x-6)(x+2) of h and k.
Help please! Number 11
Answer:
A
Step-by-step explanation:
I believe the answer is A because in MNL it tells the letters of all the angles as well as LMN. Since the total amount of degrees in MNL is the same as LMN I believe that the answer is A.
∠MNL = ∠LMN
Hope this Helps!!! :)
how many different ways four kings can be next to each other and four queens can be next to each other
There are four ways for four kings can be next to each other and four queens can be next to each other.
The first way is by positioning the kings and queens diagonally opposite each other.
The second way is by arranging them in a cross shape, with two kings on the top, two queens on the bottom, two queens on the left, and two kings on the right.
This means that in total, there are four possible ways that four kings and four queens can be placed next to each other.
The kings and queens on a card set are four in number. Hence, the probability of their arrangement next to each other would be four.
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A farmer sells 9.8 kilograms of apples and pears at the farmer's market. 2 5 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?
Answer:
7.2 is the mass of the pears the farmer sold
the perimeter of rectangle is 2x² + 4x - 4y. its length is (2x - 3y). find the breadth of rectangle
plz help fast plz plz
Perimeter = 2 (l + b)
2x² + 4x - 4y = 2 {(2x - 3y) + b}
2x² + 4x - 4y = (4x - 6y) + 2b
2x² + 4x - 4y - (4x - 6y) = 2b
2x² + 4x - 4y - 4x + 6y = 2b
2x² + 2y = 2b
(2x² + 2y)/2 = b
x² + y = b
Breadth = x² + y
Easy math problems !!!!!!!
Answer:
Cant you figure that out? Ik brainly is for help but you can look that up-
Step-by-step explanation:
Answer:
chicken
Step-by-step explanation:
PLEASE GIVE ME THE RIGHT ANSWER TO THIS.
Answer:
d
Step-by-step explanation:
it passes through (0,1) and (2,0)
slope=(0-1)/(2-0)=-1/2
eq. of line through (0,1) and slope -1/2 is
y-1=-1/2(x-0)
2y-2=-x
x+2y=2
what is two with an exponent of 6?
Answer:
64
Step-by-step explanation:
Angle G is a circumscribed angle of circle E Major arc FD measures 280 what is the measure of Angel GFD to the nearest degree?
The value of angle GFD in the inscribed angle is 140 degrees
What is an Inscribed angleAn inscribed angle is an angle formed by two chords of a circle that intersect within the circle. The vertex of the angle is on the circumference of the circle and the rays of the angle are chords of the circle. The measure of an inscribed angle is equal to half the measure of the central angle that intercepts the same arc as the inscribed angle.
An inscribed angle is equal to half the measure of its intercepted arc. Since arc FD measures 280, the measure of angle GFD is half of 280, or 140 degrees. To the nearest degree, the measure of angle GFD is 140.
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a rocket rising from the ground has a velocity of v(t) = 2,000 te−t⁄60 ft/s, after t seconds. how far does it rise in the first minute? (round your answer to the nearest foot.)
The rocket rises to a height of 3604.6 ft in the first minute.
Given that a rocket rising from the ground has a velocity of v(t) = 2,000 te−t/60 ft/s, after t seconds, we need to find how far it rises in the first minute. So, here we can use the following integration rule to calculate the total distance traveled by the rocket in the first minute. s = ∫v(t)dt. Now, integrate v(t) with respect to t to get the expression for s.t = 0, s = 0t = 60, s = ∫₀⁶₀ 2000t * e⁽⁻ᵗ∕₆₀⁾ dt= [ -120000(e⁽⁻ᵗ∕₆₀⁾ ) (t+60)] from 0 to 60≈ 3604.6 ft (rounded to the nearest foot). Therefore, the rocket rises to a height of 3604.6 ft in the first minute.
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For the following set of data:
x y 2 1 7 10 5 8 3 0 3 4 4 13
find the regression equation for predicting y from x.
The regression equation for predicting y from x in the given set of data is y = 1.909x + 2.227. This equation represents the line of best fit that minimizes the sum of squared residuals between the predicted values and the actual values of y based on the corresponding values of x.
To find the regression equation, we use the method of least squares to fit a line to the data points. The equation takes the form of y = mx + b, where m is the slope (coefficient of x) and b is the y-intercept. Using the given set of data, we calculate the slope (m) and the y-intercept (b) to determine the regression equation.
By applying the formulas for m and b:
m = (nΣxy - ΣxΣy) / (nΣx² - (Σx)²)
b = (Σy - mΣx) / n
where n is the number of data points, Σxy is the sum of the products of x and y, Σx and Σy are the sums of x and y respectively, and Σx² is the sum of the squares of x.
By substituting the values from the given data set into these formulas, we obtain the values for m and b. The resulting regression equation for predicting y from x in this case is y = 1.909x + 2.227. This equation represents the line that best fits the data points and can be used to estimate or predict the value of y for any given x within the range of the data.
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find the length of the longest scale which can measure 64meter and 48meter exactly
Answer:
16 meters
Step-by-step explanation:
Factors of 64: 1, 2, 4, 8, 16, 32, 64
Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The greatest common factor of 64 and 48 is 16.
Answer:
Step-by-step explanation:
To find the length of the longest scale that can measure 64 m and 48 m exactly, we need to find the greatest common factor (GCF) of 64 and 48. The GCF is the largest number that divides both numbers without leaving a remainder. One way to find the GCF is to list the factors of both numbers and find the largest one that they have in common. For example:
Factors of 64: 1, 2, 4, 8, 16, 32, 64
Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The largest factor that both numbers have in common is 16. Therefore, the GCF of 64 and 48 is 16.
This means that the longest scale that can measure both lengths exactly is 16 m. We can check this by dividing both lengths by 16 and seeing that there is no remainder:
1664=4
1648=3
What is the probability of the event when we randomly select a permutation of the 26 lowercase letters of the English alphabet where a immediately precedes m, which immediately precedes z, in the permutation?
24!/26!
24/26
24/26!
1/26!
1/26
it is not 1/26
Therefore, the probability of randomly selecting a permutation with the desired arrangement is 24!/26!.
Since we want the letters "a", "m", and "z" to appear in the specified order in the permutation, we can treat them as a single unit. So we have 24 remaining letters to arrange along with the unit "amz".
The total number of permutations of the 26 letters is 26!.
Since "a", "m", and "z" are treated as a single unit, the total number of permutations with "a" immediately preceding "m" and "m" immediately preceding "z" is 24!.
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-6(-3y-6)-10(6y-8) in simplest form
Answer:
Step-by-step explanation:
18y + 36 - 60y + 80
116 - 42y
Answer:
-42y+116
Step-by-step explanation:
Expand:
-6(-3y-6)-10(6y-8)
Simplify:
18y+36-60y+80
\(3x-y=17\\x+4y=10\) how can you tell that there is only one solution
PLZZZZ HELP
1.) Water is being drained from a tank, containing 1000 gallons of water, at a
constant rate. After 10 minutes there are 940 gallons of water remaining in the
tank. How much water remained in the tank after 5 minutes? 20 minutes? 30
minutes? 27 minutes? X minutes? What is the rate of flow of the water from the
tank?
Answer:
Step-by-step explanation:
the constant drain of water is C:
C= (1000-940)/10 = 6 gallons per minute
after x minutes : 1000- 6x ( water left in the tank after x minutes)
for 5 minutes: 1000-6(5)=970
after 20 min.: 1000-6(20)=880
after 30 min.: 1000-6(30)=820
after 27 min.: 1000-6(27)= 838
the rate of flow of water is 6 gallon per minute
PART A: What is the Volume of the container?
A. 21 Cubic feet
B. 120 cubic feet
C. 160 cubic feet
D. 320 cubic feet
PART B: If Dakota is picking up sand that costs $1. 25 per cubic foot and completely fills the container, what is the cost of the sand?
A. $200. 00
B. $150. 00
C. $400. 00
D. $26. 25
None of the options (A, B, C, D) can be determined as the cost of the sand.
To determine the volume of the container, we need to multiply the height, width, and depth of the container.
Given that the height of the gate is 3 feet, the width is 5 feet, and the depth is not specified, we cannot calculate the volume accurately without knowing the depth.
Therefore, none of the options provided (A, B, C, D) can be determined as the volume of the container.
Regarding Part B, since we don't have the volume of the container, we cannot accurately calculate the cost of the sand either.
Hence, none of the options (A, B, C, D) can be determined as the cost of the sand.
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the true length of boards at a cut mill with a listed length of 10 feet is normally distributed with a mean of 123 inches and a standard deviation of 1 inch. what proportion of the boards will be greater than 122 inches? 50% 84% 68% 34%
The proportion of the boards that will be greater than 122 inches is 84%
Given :
length of boards is listed as 10 feet is normally distributed with a mean of 123 inches and a standard deviation of 1 inch.
we are aske to determine what proportion of the boards will be greater than 122 inches = ?
we have :
μ = 123
σ = 122
now, let x denote the number of boards.
⇒ X ∼N (μₓ , σₓ²) X∼N(123,1)
⇒ P(X>122)=P( X- μₓ/ σₓ > 122-123/1)
⇒ P(Z > -1)
= 0.08413
= 84%
hence we get the value as 84%
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Apply the 45°-45°-90° Triangle Theorem to find the length of a leg of a right triangle if the length of the hypotenuse is 8/2
inches.
Answer:
d
Step-by-step explanation:
d
Have a conversation :>
yep c:
Answer:
Yep......a lot of notifications on my phone.....lol
thx for points!
Follow me! :)
an isosceles triangle has two sides of length 40 and a base of length 48. a circle circumscribes the triangle. what is the radius of the circles?a. 20sqrt(2)b. 28c. 18sqrt(3)d. 12sqrt(5)e. 25
The radius of the circle circumscribing the isosceles triangle is :
(a) 20sqrt(2).
To find the radius of the circle circumscribing the isosceles triangle, we need to use the fact that the perpendicular bisectors of the sides of the triangle intersect at the center of the circle. Since the triangle is isosceles, the perpendicular bisector of the base will also be an altitude, so it will intersect the base at its midpoint. Let's call this point M.
First, we can use the Pythagorean theorem to find the height of the triangle. If we draw an altitude from the vertex opposite the base to the midpoint of the base, we get two right triangles that are congruent by the hypotenuse-leg congruence theorem. Let's call the height h. Then:
h^2 + 24^2 = 40^2
h^2 = 40^2 - 24^2
h = sqrt(40^2 - 24^2)
h = 32
Now we can find the distance from the center of the circle to point M, which is the radius of the circle. Let's call this distance r. Since M is the midpoint of the base, its distance from each endpoint is 24. We can use the Pythagorean theorem again to find r:
r^2 = h^2 + 24^2
r^2 = 32^2 + 24^2
r^2 = 1152
r = sqrt(1152)
r = 12sqrt(8)
r = 24sqrt(2)
So the answer is (a) 20sqrt(2).
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Please Help Me ! Thanks This my Last QUESTION AND I NEED A
Answer:
D
Step-by-step explanation:
0.1m is one tenth of the the total which is the ratio for all the other ones so it would be
0.1m=20
hope that helps if it does plese mark as brainliest.
Answer: A
Step-by-step explanation:
The amount of money he puts on his savings account is 10% of what he makes.
So the answer would be m = 20(0.10)
solve for x please and thank uou
Answer:
The question is not asked correctly
Step-by-step explanation:
Answer:
x = 9.33
Step-by-step explanation:
7/13 = x/(x+8)
7x + 56 = 13x
6x = 56
x = 9.33
BCEADGiven: E is the midpoint of AC and AC bisects BDProve: ADEAZABECWhat theorems/definitions are needed to get the 3 pieces of information on each triangle?Then select the theorem that will prove the triangles are congruent.Vertical angles are congruentDefinition of midpointO Alternate interior angles are congruent
Statements → Proof
1. E is the midpoint of AC. → Given
2. AE ≅ EC → Definition of Midpoint
Midpoint is a point that divides a line segment into two equal parts.
3. AC bisects BD → Given
4. BE ≅ ED → Definition of Segment Bisector
A segment bisector is a segment that cuts another line segment into two equal parts.
5. ∠BEC ≅ ∠DEA → Vertical angles are congruent.
5. ∆DEA ≅ ∆BEC → SAS Theorem
Hence, to prove ∆DEA ≅ ∆BEC, we need the following theorems/definition:
a. Definition of Midpoint
b. Definition of Segment Bisector
c. Vertical angles are congruent.
Lastly, the theorem that will prove that the triangles are congruent is SAS Theorem.
K
KL = 7, JL = 24, and JK = 25. Find tan J.
Answer:
Tan J = 0.2917
Step-by-step explanation:
Here, we want to find the value of tan J
Firstly, we need to understand that the numbers 24, 25 and 7 are a Pythagorean triple and as such the three measures represent the values of length of the sides of a right angled triangle
The tangent of an angle= measure of the opposite/measure of the adjacent
In the question, the opposite to point J measures 7 while the adjacent measures 24
So ;
tan J = 7/24
= 0.2917
In a poll, 1004 women in a country were asked whether they favor or oppose the use of "federal tax dollars to fund medical research using stem cells obtained from human embryos." Among the respondents, % said that they were in favor. Identify the population and the sample.
Answer:
Population: A) All woman in the country
Step-by-step explanation:
Sample: A) The 1004 woman selected
Hi! I am really struggling with this and I need help. I did it multiple times and kept getting 290cm^2. DO NOT JUST GIVE ME AN ANSWER, PLEASE EXPLAIN SO I KNOW FOR THE FUTURE!! THANK YOU!
Answer:
I think the answer is 255cm squared
Step-by-step explanation:
If you look at the shape it has 2 shapes. A rectangle and a triangle.
17-10 to get the height of the triangle = 7
22-12 to get the base of the triangle = 10
The area to find a triangle is 1/2 * b * h
= (7 *10) / 2
= 35
To find the rectangle =
22 * 10
= 220
To find the area of the whole thing =
35 (triangle) + 220 (rectangle) = 255cm squared
Answer:
255 cm^
Step-by-step explanation:
If you cut your shape into a triangle and rectangle...or a trapezoid and a rectangle, then add the areas together.
Area of a rectangle is just length × width.
Area of a triangle is:
A = 1/2bh
Area of a trapezoid is:
A = 1/2(b1 + b2)
see image to see two different ways to cut the whole shape into two pieces. Then we calculate the total by adding the areas of the parts.
see image.
An automobile manufacturer claims that their van has a 53.8 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this van. After testing 16 vans they found a mean MPG of 53.4 with a standard deviation of 1 MPG. Is there sufficient evidence at the 0.1 level that the vans have an incorrect manufacturer's MPG rating
The value of 0.0062 is less that our significance level of 0.1, we reject the null hypothesis at the 0.1 level of significance and conclude with sufficient evidence that the manufacturer's MPG rating is incorrect.
To answer the question, we will conduct a hypothesis test to at the 0.1 level to ascertain whether or not the manufacturer's MPG rating is incorrect.
We start by stating the null and alternative hypotheses:
\($H_0$\): The mean miles/gallon for the vans is 53.8
\($H_A$\): The mean miles/gallon for the vans is not 53.8
We choose a significance level $\alpha = 0.1$ and calculate the following test statistic:
\($z = \frac{\bar{x}-\mu}{\sigma/\sqrt{n}} = \frac{53.4-53.8}{1/\sqrt{16}} = -2.5$\)
With a standard normal table, we look for the area to the left of -2.5, which is 0.0062. Because this value of 0.0062 is less that our significance level of 0.1, we reject the null hypothesis at the 0.1 level of significance and conclude with sufficient evidence that the manufacturer's MPG rating is incorrect.
Therefore, the value of 0.0062 is less that our significance level of 0.1, we reject the null hypothesis at the 0.1 level of significance and conclude with sufficient evidence that the manufacturer's MPG rating is incorrect.
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. cut a 16-ft beam into two pieces so that one piece is 22 in. longer than the other. find the length of the two pieces.
The length of one piece is equal to 85 inches and the other piece is equal to 107 inches.
What is Conversion Factor ?The quantity or formula required to change a measurement from one system of units to another is known as a conversion factor. The number is typically presented as a numerical ratio or fraction that can be multiplied.
As from the conversion factor we know that,
1 Feet = 12 Inches
So, 16 Feet = 16 * 12 = 192 inches
Let the length of one piece be x
Then the other piece length will be x + 22
The required equation will be
x + x + 22 = 192
2x = 170
x = 85.
Hence, the length of one piece is equal to 85 inches and the other piece is equal to 107 inches.
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In a research study conducted to determine if arrests were related to the socioeconomic class of the offender, the chi square critical score was 9.488 and the chi square test statistic was 12.2. We can conclude that
We can conclude that the socioeconomic class of the offender is related to the likelihood of arrests.
Based on the information provided, we can conclude that there is a significant relationship between arrests and the socioeconomic class of the offender.
Identify the chi-square critical score: 9.488
Identify the chi-square test statistic: 12.2
Compare the test statistic to the critical score:
If the test statistic (12.2) is greater than the critical score (9.488), then there is a significant relationship between the variables.
In this case, 12.2 > 9.488, so there is a significant relationship between arrests and the socioeconomic class of the offender.
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