Answer:
16,055/16 = 1003
The remainder would be 7
Step-by-step explanation:
line m in xy plane contains the points (2,4) and (0,1) which of the following is the equation of M
Answer:
The equation of line M in slope intercept form is [tex]y=\frac{3}{2}x+1[/tex]
The equation of line M in standard form is [tex]3x-2y=-2[/tex]
Step-by-step explanation:
step 1
Find the slope of line M
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
we have the points
(2,4) and (0,1)
substitute
[tex]m=\frac{1-4}{0-2}[/tex]
[tex]m=\frac{-3}{-2}[/tex]
[tex]m=\frac{3}{2}[/tex]
step 2
Find the equation of the line M in point slope form
[tex]y-y1=m(x-x1)[/tex]
we have
[tex]m=\frac{3}{2}[/tex]
[tex]point\ (0,1)[/tex]
substitute
[tex]y-1=\frac{3}{2}(x-0)[/tex]
[tex]y-1=\frac{3}{2}x[/tex] ----> equation in point slope form
step 3
Find the equation of line M in slope intercept form
[tex]y=mx+b[/tex]
Isolate the variable y in the equation of the line in point slope form
[tex]y-1=\frac{3}{2}x[/tex]
Adds 1 both sides
[tex]y=\frac{3}{2}x+1[/tex]
step 4
Find the equation of the line M in standard form
[tex]Ax+By=C[/tex]
where
A is a positive integer
B and C are integers
we have
[tex]y=\frac{3}{2}x+1[/tex]
Multiply by 2 both sides
[tex]2y=3x+2[/tex]
[tex]3x-2y=-2[/tex] ---> equation in standard form
Final answer:
The equation of line m that contains the points (2, 4) and (0, 1) is found by calculating the slope which is 3/2, and using the y-intercept which is 1. The final equation of the line m is y = (3/2)x + 1.
Explanation:
To find the equation of line m in the xy-plane that contains the points (2, 4) and (0, 1), we first need to calculate the slope of the line. The slope m is calculated as the rise over the run. For our points, the slope can be found by the formula:
m = (y2 - y1) / (x2 - x1)
So,
m = (4 - 1) / (2 - 0) = 3 / 2.
Next, we use one of the points and the slope to find the y-intercept (b). Using the point (0, 1), we plug these values into the equation for a straight line y = mx + b:
1 = (3/2) × 0 + b
Therefore, b = 1.
The equation of line m is y = (3/2)x + 1.
find the area of the rectangle , i put a pic .
Step-by-step explanation: Notice that the figure shown here is a rectangle so we can find its area by using the formula length x width.
Since the length is 3/7 in and the width is 2/8 in, we can plug this information into the formula to get (3/7)(2/8).
Now multiplying across the numerators and multiplying across the denominators we get 6/56 which can be reduced to 3/28 in².
The tables below show four sets of data:
Set A
x
1
2
3
4
5
6
7
8
9
y
10
9
8
7
6
5
4
3
2
Set B
x
1
2
3
4
5
6
7
8
9
y
3
4
5
6
7
8
9
10
11
Set C
x
1
2
3
4
5
6
7
8
9
y
8
6
5
4
3.5
3
2.5
2
2
Set D
x
1
2
3
4
5
6
7
8
9
y
1
2.5
2.5
3
4
5
6
8
9
For which set of data will the scatter plot represent a positive linear association between x and y?
Set A
Set B
Set C
Set D
Answer: Set A
Step-by-step explanation:
Because both x and y have to have a even number.
Example: (1,2) (2,4)...ect
There are 75 students at tryouts for the basketball team. Of this number, about 65% are in the seventh grade. About how many seventh-grade students are trying out for the team?
49 seventh grade students are trying out for the team.
Step-by-step explanation:
Given,
Total students at tryouts = 75
Percent of seventh grade students = 65%
Number of seventh grade students = [tex]\frac{65}{100}*75[/tex]
Number of seventh grade students = 0.65*75
Number of seventh grade students = 48.75
Rounding off to near whole number
Number of seventh grade students = 49
49 seventh grade students are trying out for the team.
Keywords: percentage, division
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The x- and y-axes divide the coordinate plane into four regions. What are they called?
Answer:
Quadrent One Two Three and Four
Step-by-step explanation:
The x- and y-axes divide the coordinate plane into four regions, called quadrants, named Quadrant I, II, III, and IV. They are numbered counterclockwise, with different quadrants containing points with different combinations of positive and negative x- and y-values.
Explanation:The x- and y-axes of the coordinate plane divide the entire plane into four regions. These regions are known as quadrants. They are named as Quadrant I, Quadrant II, Quadrant III, and Quadrant IV.
The quadrants are numbered in a counterclockwise direction. Quadrant I, on the top right, contains all points with positive x- and y-values. Quadrant II, on the top left, contains all points with negative x-values and positive y-values. Quadrant III, on the bottom left, contains all the points with negative x- and y-values.
Last, Quadrant IV on the bottom right contains all the points with positive x-values and negative y-values.
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Find the measure of x in each figure
Answer:
x = 20
Step-by-step explanation:
The two angle are a linear pair. Their measures has a sum of 180 deg.
2x + 140 = 180
2x = 40
x = 20
$400,000 is what percent of $2,000,000?
Answer:a
Step-by-step explanation:
a
Answer:
20%
Step-by-step explanation:
x= 400000/2000000*100
x=20
7 movie tickets cost $25.00
Answer:ok boomer
Step-by-step explanation:
Use the expression -3/7+10
Answer:
a. Jake told the negative value of the expression which cannot be equivalent to the original expression.
b. 10 - [tex]$ \frac{\textbf{3}}{\textbf{7}} $[/tex] g
Step-by-step explanation:
a. The given expression is: [tex]$ \frac{-3}{7}g + 10 $[/tex]
Multiplying through out by -, we get:
[tex]$ - 10 + \frac{3}{7}g $[/tex] which was the expression given by Jake. Since, it is the negative of the original one, they cannot be equivalent.
b. [tex]$ -\frac{3}{7}g + 10 = 10 - \frac{3}{7}g $[/tex]
[tex]$ = \frac{70 - 3g}{7} $[/tex]
Hence, the answer.
Tina has $220 in her account. Cliff has $100 in his account. Starting in July, Tina adds $25 to her account on the first of each month, while Cliff adds $35 to his. How many dollars will they have in their accounts when the amounts are the same
Answer:
Both accounts will have $450
Step-by-step explanation:
Tina y= 25x+220
Cliff y= 35x+100
we can use substitution to solve this problem so the formatting would be:
25x+220=35x+100
subtract 25x from both sides
220=10x+100
Subtract 100 from both sides
120=10x
Divide both sides by 10
12=x
now that we have an x value we can plug it into either equation.
y=100+35(10)
y=100+350
y=450
what value of b will make the system 7=2x+7 and y=2.5x+b intereect at the point (-6, -5)
Answer:
The value of b for the intersection of two lines at given points is 4
Step-by-step explanation:
Given as :
The two line equations are
y = 2 x + 7 ..........A
And
y = 2.5 x + b ............B
Since, The two lines are intersecting at point [tex]x , y[/tex] = - 6 , - 5
Now Solving equation A and B we get
2 x + 7 = 2.5 x + b
Or, 7 - b = 2.5 x - 2 x
Or, 7 - b = . 5 x
∵ intersecting points are x , y = - 6 , - 5
putting the value of y from points
i.e 7 - b = . 5 × ( - 6 )
Or, 7 - b = 3
Or, b = 7 - 3
∴ b = 4
So, The value of b = 4
Hence, The value of b for the intersection of two lines at given points is 4 Answer
Which of the following is true about slings?
Select the best option
Alloy steel chains are impeyvious to damage.
Slings should be inspected before each use.
Damaged slings should be removed from service at the end of the work day
The correct answer is; Slings should be inspected before each use.
Further explanation:
Prior to starting the workday, each sling should be visually inspected by the operators. The slings need to be inspected for stretching, gouges, and excessive wear. Also, any nicks in the sling should be checked for. If any of these things are on the slings, the sling needs to be taken out of service immediately. This should be done before starting work.
There are six different types of chains that are used, they are;
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The correct statement about slings is that they should be inspected before each use. Damaged slings should be removed immediately, not at day's end. Alloy steel chains aren't impervious to damage.
Out of the given options, the true statement about slings is that 'Slings should be inspected before each use'. To ensure the safe operation of a sling, it's crucial to examine it for any damages or wear and tear before every use.
Slings are typically used to lift or move heavy objects, and any damages can lead to accidents or equipment failure. On the other hand, the statement about alloy steel chains is incorrect as they are not impervious to damage.
Lastly, damaged slings should not be waited until the end of the day to be removed from service, they should be removed immediately upon discovering the damage.
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A carpenter has a board 2 meters long. She needs to cut it into 8 equal pieces. How many centimeters long will
each piece be?
1600
Answer:
400
Step-by-step explanation:
1 meter = 100 centimeters
8/2 = 4
4 x 100 = 400
Answer:
Step-by-step explanation:
1 meter = 100 centimeters.....so 2 meters = 200 cm
split into 8 equal pieces....200 / 8 = 25 cm <=== each piece is 25 cm
MD writes an order for 150 mg by mouth every 6 hours for 24 hours. pharmacy dispenses you with 75 mg per 3 ml. how many ml will you administer daily?
Answer:
24ml
Step-by-step explanation:
First, calculate the amount needed in mg for each day.
The rate given for each dose is 150mg every 6 hours. Since there are 24 hours in a day, divide the number of hours in a day by how often to give the medication to get the number of doses each day.
24 hours ÷ 6 hours = 4 doses daily
The total mg each day is the number of doses daily multiplied by the amount in each dose.
4 doses daily X 150 mg = 600mg daily
Calculate how many mg of medication are in 1 ml given by the pharmacy.
75mg ÷ 3ml = 25mg/ml
Divide the mg of medication daily by the concentration the pharmacy dispenses.
600 mg daily ÷ 25mg/ml = 24ml
You will administer 24ml daily.
Check by doing these steps backwards:
24ml per day gives 600 mg of medication because there are 25mg per 1 ml. 24ml X 25mg = 600mg
Each day you need to administer 150mg X (24h ÷ 6h) of medication.
150mg X 4 = 600mg, which is the correct amount.
Which algebraic expression is a product with a factor of 6?
O A. 6x-9
O B. 9x=6
O C. 6+x-9
O D. 6(x+5)
SUBN
Option D is correct.
Triangle A B C is shown. Angle B C A is a right angle. The length of hypotenuse A B is 20 centimeters and the length of B C is 10.5 centimeters. Angle A B C is x. Which is the best approximation for the measure of angle ABC? 27.7° 31.7° 58.3° 62.3°
The best approximation for the measure of angle ABC is 58.3° ⇒ 3rd answer
Step-by-step explanation:
Let us revise the trigonometry ratios in the right triangle ABC, where B is the right angle, AC is the hypotenuse, AB and BC are the legs of the triangle
The trigonometry ratios of the angle BAC, the opposite side to this angle is BC and the adjacent side to it is AB are
[tex]sin(BAC)=\frac{opposite}{hypotenuse}=\frac{BC}{AC}[/tex] [tex]cos(BAC)=\frac{adjacent}{hypotenuse}=\frac{AB}{AC}[/tex] [tex]tan(BAC)=\frac{opposite}{adjacent}=\frac{BC}{AB}[/tex]In Δ ABC
∵ ∠ BCA is a right angle
∴ The hypotenuse is AB
∵ The adjacent side to ∠ABC is BC
∵ AB = 20 centimeters
∵ BC = 10.5 centimeters
- Use cosine ratio to find the measure of the angle because you
have the adjacent side of the angle ABC and the hypotenuse
∵ m∠ABC is x
∵ [tex]cos(x)=\frac{BC}{AB}[/tex]
∴ [tex]cos(x)=\frac{10.5}{20}[/tex]
- To find x use the inverse of cos(x)
∵ [tex]x=cos^{-1}(\frac{10.5}{20})[/tex]
∴ x = 58.33°
∴ m∠ABC = 58.33°
The best approximation for the measure of angle ABC is 58.3°
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The best approximation for the measure of angle ABC is 31.7°.
To find the measure of angle ABC (x), we can use trigonometric ratios. Since angle BCA is a right angle, we can use the sine function, which relates the opposite side to the hypotenuse in a right-angled triangle.
Let's denote the sides of the triangle as follows:
BC is the opposite side to angle ABC, with a length of 10.5 cm.
AB is the hypotenuse, with a length of 20 cm.
AC is the adjacent side to angle ABC.
Using the sine function, we have:
[tex]\[ \sin(x) = \frac{\text{opposite side}}{\text{hypotenuse}} = \frac{BC}{AB} \][/tex]
[tex]\[ \sin(x) = \frac{10.5}{20} \][/tex]
[tex]\[ \sin(x) = 0.525 \][/tex]
Now, we need to find the angle whose sine is approximately 0.525. Using a calculator or trigonometric tables, we can approximate the angle x. The angle whose sine is approximately 0.525 is about 31.7°.
X divided by 4 equals -7. What is x?
The required value of x that satisfies the equation x/4 = -7 is x = -28.
To solve for x when x divided by 4 equals -7, we can follow these steps:
Start with the equation: x/4 = -7.
To isolate x, we want to get rid of the division by 4. We can do this by multiplying both sides of the equation by 4:
(4)(x/4) = (4)(-7).
The 4 on the left side cancels out with the 4 in the denominator, leaving us with:
x = -28.
Therefore, the value of x that satisfies the equation x/4 = -7 is x = -28.
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Final answer:
The value of x in the equation x divided by 4 equals -7 is -28. To find x, we multiply both sides of the equation by 4, resulting in x=-28. Substituting back into the original equation confirms the solution is correct.
Explanation:
To solve the equation x divided by 4 equals -7, we want to find the value of x. We can do this by performing the inverse operation of division, which is multiplication. So if x divided by 4 is -7, we can multiply both sides of the equation by 4 to solve for x:
x / 4 = -7
4 * (x / 4) = 4 * (-7)
x = -28
So, the value of x is -28. As a check, you can substitute -28 back into the original equation:
-28 / 4 = -7
Which simplifies to:
-7 = -7
This confirms that the solution is correct since it results in an identity, showing that the left side of the equation is equal to the right side.
Can u help me here I have more the next one is part 2 for this question
The circumference of the vase is 18.84 inches.
Step-by-step explanation:
The circumference of the cylinder is same as the circumference of its base.
Moreover, the base of the cylinder is actually a circle.
So we need to find the circumference of the circle to find the circumference of the cylinder.
From the given figure, we know that the diameter of the base d= 6 inches.
∴The formula for the circumference of the circle = 2πr or dπ.
⇒ circumference = 6×3.14.
= 18.84.
So the circumference of the circle is 18.84 inches.
∴The circumference of the cylindrical vase is also 18.84 inches.
What is the product?
(-3s+2t)(4s-t
Answer:
-12s^2 + 11st - 2t^2
Step-by-step explanation:
Use addition to solve the linear system of equations.
y = -3x + 1
y = 2x - 4
Please show me step-by-step, I'm having a very hard time with this and I'm behind on work
Determine the most precise name for quadrilateral?
a. Parallelogram
b. Rhombus
c. Kite
d. Isosceles trapezoid
Answer:
Parallelogram
Step-by-step explanation:
This diagram shows that the opposite sides of the figure are equal.
The quadrilateral is Parallelogram.
What are types of quadrilateral?A quadrilateral is a polygon having four sides, four points, and four vertices. The Latin words "quad," which means four, and "latus," which means side, are the source of the term "quadrilateral."
There are four basic types of quadrilaterals: parallelograms, squares, rectangles, and rhombuses. Parallelograms include the square, rectangle, and rhombus as well.
Given a quadrilateral,
in which opposite sides are parallel to each other,
the given figure shows opposite side are parallel to each other, so
according to definition of Parallelogram: The opposite sides of a parallelogram are parallel and of equal length. Additionally, opposite angles are equal.
Hence the Given quadrilateral is Parallelogram.
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PLEASE HELP ASAP !!!
Answer:
The answer is A
Step-by-step explanation:
Answer:
The answer is A. 35 degrees
Step-by-step explanation:
The triangle has to measure up to 180 degrees
add the 2 known angles together
105 + 40 = 145
Subtract the total from 180
180-145= 35
the missing angle is 35
Check Answer:
to check your answer add up all the angle measurements
your total should add up to 180
35 + 40 + 105 = 180
The volume of a cylinder is 384 pie. The radius of the base of the cylinder is 4 cm. What is the height of the cylinder?
Answer:
24 cm
Step-by-step explanation:
Using the formula for a right cylinder: V = (pi)(r^2)(h) you can plug in the numbers provided
384(pi) = (pi) × (4^2) × h
<solve for h>
384(pi) = (pi) × (16) × h
<divide by 16pi>
24 = height
Answer:
24 = h
Step-by-step explanation:
V = πr²h
384π = π(4)²h
384π = 16πh
24 = h
Whats the answer to -2+(-7/2)
Answer:
-5.5
Step-by-step explanation:
-2 + (-7/2) dividing 7 over 2 to give us -3.5
-2 + (-3.5)
that will give us -5.5
someone please answer 28 points please answer with the right facts and the explanation thank you
Describe the sequence of transformations that maps triangle XYZ onto triangle X”Y”Z”
Answer:
The transformation
[tex](x,y) \rightarrow (x-5,-y+1)[/tex]
maps triangle XYZ onto triangle X”Y”Z”.
Step-by-step explanation:
Let us take point Z on the XYZ triangle and see what sequence of transformations we have to apply to map it into the point Z''.
Now Z = (-2, 2) and Z'' = (-7, -1).
The x-coordinate goes from -2 ⇒ -7.
The y-coordinate goes from 2 ⇒ -1.
The x-coordinate is just shifted by -5; thus, [tex]x \rightarrow x-5[/tex], and the y-coordinate first transforms as [tex]y \rightarrow -y[/tex], and is then shifted by 1; thus, it transforms as [tex]y \rightarrow -y+1[/tex].
So we have the full transformation
[tex](x,y) \rightarrow (x-5,-y+1)[/tex]
Ken has 10 red marbles 12 green marbles8 blue marbles 16 yellow marbles in bag
The probability that Mark draws a yellow marble and then a green marble is 1/9.
Explanation:To find the probability that Mark draws a yellow marble and then a green marble, we first need to find the total number of marbles in the bag. The bag contains 4 green marbles, 3 red marbles, and 2 yellow marbles, so the total number of marbles is 4 + 3 + 2 = 9.
Since Mark draws without replacement, the probability of drawing a yellow marble first is 2/9. After drawing a yellow marble, there are now 1 yellow marble and 8 total marbles left in the bag, so the probability of drawing a green marble second is 4/8, or 1/2.
To find the overall probability, we multiply the probabilities of the individual events. Therefore, the probability that Mark draws a yellow marble and then a green marble is (2/9) * (1/2) = 1/9.
An inspector must select three tests to preform in a certain order on a manufactured part. He has a choice of seven tests how many different ways can he perform three tests
Answer:
Therefore the inspector can perform three tests in 35 different ways.
Step-by-step explanation:
i) It is given that there is a total of seven tests that the inspector can perform.
ii) it is also given that the inspector needs to select or choose three tests only out of the seven.
iii) therefore this is a Combination problem.
iv) therefore the number of combinations or selections possible is given by
[tex]\binom{7}{3} = \frac{7!}{(3!)(7 - 3)!} = \frac{7!}{(3!)(4!)} = \frac{42 \times 120}{6 \times 24} = \frac{42 \times 20}{24} = \frac{21 \times 10}{6} = \frac{7 \times 10}{2} = 35[/tex]
Therefore the inspector can perform three tests in 35 different ways.
If names a major arc of a circle, then must be a a) minor arc b)major arc c) semicircle
Answer:
should be a
Step-by-step explanation:
The sum of 19 data values is 2,375. What is the average of the data values?
Answer:
125
Step-by-step explanation:
2375/19
17 more than Rick's score is 45.
Use the variable r to represent Rick's score.
Here is the equation representing Rick's score:
17 + r = 45
Solving for r, we get r = 45 - 17.
So, what is 45 - 17?