Answer:
range={19, 11, -13}
Step-by-step explanation:
The range is what you get when you plug in the number. In this case, the range is the y values.
y=7-4(-3)=7+12=19
y=7-4(-1)=7+4=11
y=7-5(5)=7-25=-13
What type of line is PQ?
A. median
B. altitude
C. angle bisector
D. side bisector
I need help with this question to pass a test
Answer:
Option C, angle bisector
Answered by GAUTHMATH
what is 12 liters converted into milliliters
6 tractors take 8 days to collect the harvest. how long will it take 18 tractors to do the same?
Answer:
2.25
Step-by-step explanation: If it takes 6 tractors in 8 days then u would have to divide 18 by 8 because its double the equitment.
I NEED HELP WITH A PROBLEM
Answer:
39
Step-by-step explanation:
Answer:
V=1944mm^2
Step-by-step explanation:
12*9*18=1944
V=1944mm^2
Every hour a soup company produces 195 liters of soup. How much soup would the company
have made after 52 hours?
Answer:
10,140 liters of soup.
Step-by-step explanation:
A local rec center offers a yearly membership for $265. The center offers aerobics classes for an additional $5 per class. Write an equation that represents the total cost of the membership.
The equation that represents the total cost of the membership will be y = 5x + 265.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
A local rec center offers a yearly membership for $265. The center offers aerobics classes for an additional $5 per class.
Let 'x' be the number of aerobics classes and 'y' be the total cost. Then the equation is given as,
y = 5x + 265
The equation that represents the total cost of the membership will be y = 5x + 265.
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Verify the Identity!!
Answer:
Check the proof below
Step-by-step explanation:
try to verify from RHS to LHS
(Tan a + tan b) / (tan a - tan b)
= (sin a / cos a + sin b /cos b) / ( sin a/ cos a - sin b/ cos b)
= (sin a cos b + cos a sin b)/ (sin a cos b - cos a sin b)
= sin (a+b) / sin (a-b)
Fyi
sin(A+B) = sinAcosB+cosAsinB
sin(A-B) = sinAcosB-cosAsinB
please help, been stuck on this for 10 min now
Answer:
Step-by-step explanation:
The sum of supplementary angles is 180°.
5x+95 = 180
5x = 85
x = 17°
Write a linear function f with the values f(-4) = 0 and f(0) =0 please help
\(f(\stackrel{x_1}{-4})=\stackrel{y_1}{0}\qquad f(\stackrel{x_2}{0})=\stackrel{y_2}{0}~\hfill (\stackrel{x_1}{-4}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{0}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{0}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{(-4)}}}\implies \cfrac{0}{0+4}\implies \cfrac{0}{4}\implies 0\)
\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{0}(x-\stackrel{x_1}{(-4)})\implies \boxed{y = 0}\)
What is the area of the trapezoid? If necessary, round your answer to the nearest tenth. 5.5 ft 1 1 6.5 ft h 8.5 ft
Answer:
The answer should be 55.3
Step-by-step explanation:
because 6.5 × 8.5 = 55.25. and that rounded is 55.3. :>> hope this helpss!
1. Use the elimination strategy to solve this linear system:
(1) 12c + 28d = 12 (2) -20c + 16d = 168
2. Determine the number of solutions of this linear system:
(1) 7x − 3y = 43 (2) 7x - 3y = 13
The solution to the linear system is c = -6 and d = 3.
To solve the linear system using the elimination strategy, we can eliminate one variable by adding or subtracting the equations. Let's solve the first linear system:
(1) 12c + 28d = 12
(2) -20c + 16d = 168
To eliminate one variable, we can multiply equation (1) by 5 and equation (2) by 3, which will result in opposite coefficients for 'c'. This will allow us to eliminate 'c' when adding the equations together:
(1) 60c + 140d = 60
(2) -60c + 48d = 504
Now, we can add the equations:
(60c + 140d) + (-60c + 48d) = 60 + 504
188d = 564
d = 564/188
d = 3
Substituting the value of 'd' back into equation (1):
12c + 28(3) = 12
12c + 84 = 12
12c = 12 - 84
12c = -72
c = -72/12
c = -6
The solution to the linear system is c = -6 and d = 3.
Now let's analyze the second linear system:
(1) 7x - 3y = 43
(2) 7x - 3y = 13
By comparing the two equations, we can see that they have the same coefficients for both 'x' and 'y', and the constant terms on the right side are different. This means the lines represented by the equations are parallel and will never intersect.
The linear system has no solution.
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A car was sold at a 12% discount, which amounts to $1800. How much would the car sell for after the discount?
Answer:
1584$
Step-by-step explanation:
Original price is 1800$ (100%)
Discount percent: 12%
=> The price after discount is 100 - 12 = 88% of original price
=> The price after discount is 1800 x 88% = 1800 x 88/100 = 1584$
Answer:
13200
Step-by-step explanation:
12% - 1800
100% - x
X = (1800x100)/12 = 15000 - original price
15000-1800 = original price - discount = 13200 price after discount
Define associative property
Answer:
the way in which factors are grouped in a multiplication problem does not change the product.
Step-by-step explanation:
A random sample of 40 collision claims of 30 to 49 year old drivers results in a mean claim of $3669 with a standard deviation of $2029. Another random sample of 40 collision claims of 20 to 29 year old drivers results in a mean claim of $4586 with a standard deviation of $2302. Is there evidence that 20 to 29 year old drivers have a higher mean accident claim? (Let population 1 be 20-to-29 yr old drivers and population 2 be the 30 to 49 year old drivers.) Calculate the appropriate test-statistic. Round your answer to 2 decimal places.
The appropriate test statistic is approximately 1.89.
To determine if there is evidence that 20 to 29-year-old drivers have a higher mean accident claim compared to 30 to 49-year-old drivers, we can perform a two-sample t-test.
The test statistic can be calculated using the following formula:
\(t = (mean1 - mean2) / \sqrt{(s1^2 / n1) + (s2^2 / n2)}\)
where:
mean1 and mean2 are the sample means of the two populations,
s1 and s2 are the sample standard deviations of the two populations,
n1 and n2 are the sample sizes of the two populations,
Given the following information:
For population 1 (20 to 29-year-old drivers):
Sample mean (mean1) = $4586
Sample standard deviation (s1) = $2302
Sample size (n1) = 40
For population 2 (30 to 49-year-old drivers):
Sample mean (mean2) = $3669
Sample standard deviation (s2) = $2029
Sample size (n2) = 40
Calculate the test statistic (t):
\(t = (4586 - 3669) /\sqrt{ (2302^2 / 40) + (2029^2 / 40))\)
Calculating this expression:
t ≈ 917 / √(132360.1 + 102996.025)
t ≈ 917 / √(235356.125)
t ≈ 917 / 485.086
t ≈ 1.89
Therefore, the appropriate test statistic is approximately 1.89.
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The volume of a tree stump can be modeled by considering it as a right cylinder. Lauren measures it’s height as 0.7ft and it’s radius as 20in find the volume of the stump in cubic inches. Round your answer to the nearest tenth if necessary
The volume of the tree stump is approximately 1005.3 cubic inches when rounded to the nearest tenth.
To calculate the volume of the tree stump, we can use the formula for the volume of a cylinder, which is given by:
Volume = π * r^2 * h
Given:
Radius (r) = 20 inches
Height (h) = 0.7 feet
First, let's convert the height from feet to inches since the radius is already in inches. There are 12 inches in 1 foot, so:
Height (h) = 0.7 feet * 12 inches/foot = 8.4 inches
Now, we can substitute the values into the volume formula:
Volume = π * (20 inches)^2 * 8.4 inches
Calculating the volume:
Volume = 3.14159 * (20 inches)^2 * 8.4 inches
≈ 3.14159 * 400 inches^2 * 8.4 inches
≈ 1005.3096 cubic inches
Rounding the volume to the nearest tenth:
Volume ≈ 1005.3 cubic inches
Therefore, the volume of the tree stump is approximately 1005.3 cubic inches when rounded to the nearest tenth.
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Circle the problems that you will use regrouping to solve. Then find differences. Show your work!
56-38=______
74-52=______
65-26=______
Please help I just don’t get it
You would circle the 1sr and 2nd problem because you need to regroup them
find the missing angle
Answer:
? = 77°
Step-by-step explanation:
the 3 angles in a triangle sum to 180° , that is
? + 35° + 68° = 180°
? + 103° = 180° ( subtract 103° from both sides )
? = 77°
Answer:77
Step-by-step explanation:
180-103=77
Here is my question. Take your time because this is a hard question.
Answer: x=25
Step-by-step explanation:
This is mainly algebraic calculations, so it's just using operations. You can open the parentheses in any order you want, but I started with the numerator of the first expression. I simplified it to get 3.8-3.3, which is the same as 0.5 Then I moved on to the denominator of the second equation. Distribute the 0.8, then add it to 3.2, getting 5. The numerator is a bit trickier. There's a lot of LCMs to find, but first multiply 5/66 by 2 1/2. You can use the butterfly method to simplify it, and get 1/33. Use LCMs to subtract the 3 fractions, getting a result of 1/12. Using cross multiplication, you get the result of x=25.
Find the angle represented by x (rounded to the nearest tenth of a degree).
A)32.6°
B)36.4°
C)37.8°
D)38.7°
Answer:
Option (D)
Step-by-step explanation:
By applying sine rule in the triangle shown,
Since, \(\text{sin}\theta=\frac{\text{Opposite side}}{\text{Hypotenuse}}\)
By this rule,
\(\text{sinx}=\frac{\text{5000}}{8000}\)
x = \(\text{sin}^{-1}(\frac{5}{8})\)
x = \(\text{sin}^{-1}(0.625)\)
x = 38.682°
≈ 38.7°
Therefore, Option (D) is the correct option.
What value for x maxes the two ratios equivalent?
1/5 : 3/4
x : 1
A. 3/20
B. 4/15
C. 15/4
D. 20/3
A normal distribution of scores has a standard deviation of 182.56 and a mean of 265.95. Find the z-score of 235.90.
The z-score of 235.90, if a normal distribution of scores has a standard deviation of 182.56 and a mean of 265.95, is -0.165.
What is mean?The mean of the set of data is equal to the sum of all the quantities in the data, and divide by the no of quantities.
Given:
The standard deviation, d = 182.56,
The mean, m = 265.95,
The observation value, X = 235.90
Calculate the z score by the following formula given below,
Z = (X - m) / d,
Here, Z is the Z score,
Z = 235.90 - 265.95 / 182.56
Z = -0.165
Therefore, the z-score of 235.90, if a normal distribution of scores has a standard deviation of 182.56 and a mean of 265.95, is -0.165.
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Arun, David and Raj each used a piece of wire measuring 32cm in length to make a shape. Arun made a square with a side of length 8cm. David made a rectangle with a length of 9cm. Raj made a rectangle with breadth of 10cm. Who made a shape with the greatest area?
The area of the quadrilateral increases as the lengths of the sides become
the same.
Arun made the shape (square) with the greatest areaReasons:
Length of the wire = 32 cm
Length of side of square Arun made, s = 8 cm
Perimeter of the square, P = 4 × 8 cm = 32 cm = Length of the wire
Area of the square Arun made, A = s² = 8 cm × 8 cm = 64 cm²Length of a side of the rectangle David made, L = 9 cm
Perimeter of the rectangle, P = 32 cm = 2·L + 2·B
Where;
B = The breadth of the rectangle
Therefore;
P = 32 cm = 2·L + 2·B = 2 × 9 cm + 2·B
2·B = 32 cm - 2 × 9 cm = 14 cm
B = 14 cm ÷ 2 = 7 cm
The breadth of the rectangle David made B = 7 cm
Therefore;
The area of the rectangle David made, A = 9 cm × 7 cm = 56 cm²Breadth of the rectangle Raj made, B = 10 cm
Therefore;
32 cm = 2·L + 2 × 10 cm
2·L = 32 cm - 2 × 10 cm = 12 cm
L = 12 cm ÷ 2 = 6 cm
The length of the rectangle Raj made, L = 6 cm
Area of the rectangle Raj made, A = 10 cm × 6 cm = 60 cm²Therefore;
The square made by Arun that has an area of 64 cm² is the shape with the greatest area.Learn more about the area of plane shapes here:
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NO LINKS!!
Please help me with these proofs Part 4
Given:
RC ⊥ OK,RK ≅ KSThe triangles ΔKRO and ΔKCO are right triangles with common leg and congruent hypotenuse. It is sufficient for HL (Hypotenuse - leg) congruence. RK and KC are hypotenuse and OK is common leg.
Statement Reason
RC ⊥ OK GivenRK ≅ KS Given∠1 and ∠2 are right angles Definition of perpendicularOK ≅ OK Reflexive property (common side)ΔKRO ≅ ΔKCO HL congruence ProvedProblem 4Given:
LG bisects ∠GFA,∠F ≅ ∠ATo prove FG ≅ AG, we'll first prove the triangles are congruent by AAS as we have one congruent angle pair, one side is common to both triangles, another pair of congruent angles is formed by the angle bisector. The common side is adjacent to one of the congruent angles but not included.
Statement Reason
LG bisects ∠GFA Given∠F ≅ ∠A Given∠1 ≅ ∠2 Definition of angle bisectorLG ≅ LG Reflexive property (common side)ΔLGA ≅ ΔLGF AAS congruenceFG ≅ AG CPCTCProvedA scientist measures the diameter of a bacteria cell and yeast cell. She finds the diameter of a bacteria cell to be 0.0000021 meters and
the diameter of a yeast cell to be 0.00000398 meters.
The difference between the diameter of the bacteria cell and the diameter of the yeast cell is 0.00000377 meters.
How to illustrate the information?From the information, it should be noted that the scientist measures the diameter of a bacteria cell and yeast cell.
She finds the diameter of a bacteria cell to be 0.0000021 meters and the diameter of a yeast cell to be 0.00000398 meters.
Therefore, the difference between them will be:
= 0.00000398 meters - 0.0000021 meters
= 0.00000377 meters
It should be noted that the value of 0.00000377 meters gotten can also be expressed in scientific notation. This will be 3.77 × 10 raise to the power of negative 6.
In conclusion, the difference is 0.00000377 meters.
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A scientist measures the diameter of a bacteria cell and yeast cell. She finds the diameter of a bacteria cell to be 0.0000021 meters and the diameter of a yeast cell to be 0.00000398 meters. What is the difference?
Which of the following values are solutions to the inequality 5 < 7 + 5x?
1. 6
II. _ 5
III. - 7
• None
• I only
• II only
• III only
O Land II
• I and III
• Il and III
• I, II and III
X > -2/5 is values are solutions to the inequality.
What is inequality?
If two consecutive integers or algebraic expressions are greater than, greater than or equal to, less than, or less than or equal to. The less than (), greater than (>), greater than or equal to (), less than (), and not equal to () are five inequality symbols used in mathematics.
inequality 5 < 7 + 5x
5 - 7 < 5X
-2 < 5X
X > -2/5
x can equal to anything that is 1 and higher.
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The ratio opposite/adjacent describes which function?
Answer: o/a is the Tangent
Step-by-step explanation:
Sin = o/h
Cos= a/h
Tan = o/a
What is 2x2 + 1000 x 1000
Answer: 2x2 + 1000 x 1000 = 1000004
Step-by-step explanation: you add on 5 0's to the one and 2x2 = 4 so add on the 4 also
Answer:
1000004
Step-by-step explanation:
First we do can separate it into the parentheses: (2*2) + (1000*1000)
= 4 + 1000000
= 1000004
HELP ME PLSSSS!
1. Start in Hawaii on the black dot. Reflect this point over the y-axis. What ocean are you in?
Arctic Ocean
Atlantic Ocean
Indian Ocean
Pacific Ocean
2. Start in Hawaii on the black dot. Reflect this point over the x-axis. What state are you in?
3. Start in Georgia on the black dot. Reflect this point over the x-axis. The cube you are in contains all of the following EXCEPT for which state?
Alabama
Georgia
North Carolina
South Carolina
Tennessee
4. Start in Georgia on the black dot. Reflect this point over the y-axis. What state are you in?
5. Start in Ohio in the square that contains the black dot. What translation would get you to the cube that contains the black dot in Montana?
(x,y) ----> (x+4,y-10)
(x,y) ----> (x-8,y+3)
(x,y) ----> (x+4,y+3)
(x,y) ----> (x-10,y+4)
6. Start in Louisiana on the black dot. Rotate 90 degrees counter-clockwise. What state occupies most of the space of the cube you are now in?
7. Start in New York on the black dot. Translate (x,y) ---> (x-4,y-3). Then, reflect over the x-axis. What state are you in?
8. Start in South Dakota on the black dot. Rotate 270 degrees clockwise. You are at the intersection of which two states?
Arizona and New Mexico
New Mexico and Texas
Minnesota and Wisconsin
Illinois and Wisconsin
9. Start in Kansas on the black dot. Reflect over the y-axis and then translate your cube 6 right and 2 up. What state are you in?
10. Start in New Hampshire on the black dot. Which system of transformations describes a way you could get to any cube in the state of Texas?
Rotate 180 degrees and then translate right 7 and up 3.
Reflect over x-axis and then translate left 2 and up 1.
Reflect over y-axis and then reflect over x-axis.
Rotate 90 clockwise and then reflect over y=x.
11. Start in Idaho on the black dot. Perform the following transformations in order.
(x,y) ----> (x+6,y-3)
(x,y) ----> (-x,y)
What state are you most likely in?
12. Start in Colorado on the black dot. Dilate by a scale factor of 2. What two states could you be in?
New Jersey or Pennsylvania
Indiana or Ohio
Kansas or Oklahoma
Idaho or Oregon
13. Start in North Carolina on the black dot. Reflect over the y-axis. Translate 5 up and 4 right. Reflect over the y-axis. Translate 3 down. Rotate 180 degrees clockwise. What state are you in?
*
It's tough to know for sure what a black dot on the sea might mean without more information. A ship, boat, or other watercraft may occasionally be indicated by a black dot on the water.
What black dot indicate about sea?Depending on the situation, a black dot on the sea could mean a variety of various things. Here are some potential examples:
A black dot on a nautical chart could represent a buoy, beacon, marker, or other navigating aid.
A black dot in the ocean may be the result of a bird, a fish jumping out of the water, or other marine life, depending on your distance.
A black dot may represent the existence of a microscopic organism or particle if you are using a microscope or other scientific equipment to see the ocean.
Therefore, 1. Pacific Ocean 2. South Carolina 3. Georgia 4. Alabama 5. (x,y) ----> (x+4,y-10) 6. Colorado 7. Pennsylvania 8. Minnesota and Wisconsin, 8. Missouri 9. Reflect over y-axis and then reflect over x-axis.
10. Oregon 11. Kansas or Oklahoma, 12. Tennessee
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A train traveled from one city to another city in 4 hours at a speed of 70 mph.
The retum trip was made in 5 hours. Find the speed for the return trip.
Answer:
56miles/hr
Step-by-step explanation:
Given parameters:
Time taken for the to travel = 4hrs
Speed of the train = 70mph
From this data, let us find the distance of the trip;
Distance =Speed x time
Therefore, insert the parameters;
Distance = 70mph x 4hr = 280miles
Now;
Return trip took, 5hrs,
Speed = ?
Speed = \(\frac{distance}{time}\)
Insert the parameters and solve;
Speed = \(\frac{280}{5}\) = 56miles/hr
The graph below shows the solutions to which inequality?
A. x^2-3x+3 ≥0
B. x² + 3x-3 <0
C. x²-3x+3<0
D. x² + 3x-3>0
The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.
option B.
What is the solution of the inequality?The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;
The solution of the graph,
x > -4 and x < 1
The first equation with "≥" is ruled out because the graph doesn't have a thick dot.
Let's simplify the second expression;
x² + 3x - 3 < 0
solve using quadratic formula;
x > -3.79 or x < 0.79
The third expression is ruled out since its solution will be complex.
For the last expression;
x² + 3x - 3 > 0
x < -3.79 or x > 0.79
Thus, the correct inequality expression is x² + 3x - 3 < 0.
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