HELP ASAP/ Given line `t` on the graph provided, choose all points that lie on the line that passes through point `P` and is perpendicular to line ' t'
(choose all that apply)
All points that lie on the line that passes through point `P` and is perpendicular to line ' t' are: (4, -1) and (6, -5)
What is the equation of the line?The equation of a line in slope intercept form is:
y = mx + c
where:
m is slope
c is y-intercept
Using two coordinates on line t as: (-4, 1) and (2, 4), the slope of the line t is:
Slope = (4 - 1)/(2 + 4)
Slope = 3/6
Slope = 1/2
Equation of line t is:
(y - 1)/(x + 4) = 1/2
y - 1 = x/2 + 2
y = ¹/₂x + 3
Thus, slope of line passing through P and perpendicular to t is: -1/(1/2) = -2
Now, coordinates of point P is (3, 1). Thus:
Equation passing through point P and perpendicular to line t is:
(y - 1)/(x - 3) = -2
y - 1 = -2x + 6
y = -2x + 7
The only coordinates that fits into this are (4, -1) and (6, -5)
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name the leading coefficient and degree of the polynomial 4xy^8
(a) The leading coefficient is 4
(b) The degree is 8
How to determine the leading coefficient and the degree of the expressionFrom the question, we have the following parameters that can be used in our computation:
4xy⁸
Consider an expression ax where the variable is x
The leading coefficient of the variable in the expression is a
Using the above as a guide, we have the following:
The leading coefficient is 4
Consider an expression axⁿ where the variable is x
The degree of the variable in the expression is n
Using the above as a guide, we have the following:
The degree is 8
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Nam asked his mother's permission to go buy toys to give to Tuan's friend on the occasion of his birthday. Men buy two toys with list prices of VND 45,000 and VND 25,000 respectively and receive a 10% discount. how much does the male have to pay to buy those two toys?
Answer:
The total cost of the two toys before the discount is VND 45,000 + VND 25,000 = VND 70,000.
Step-by-step explanation:
The discount is 10% of the total cost, which is 0.1 x VND 70,000 = VND 7,000.
Therefore, the final cost after the discount is VND 70,000 - VND 7,000 = VND 63,000.
Nam will have to pay VND 63,000 to buy the two toys after the discount.
The First Chicago Bank is reviewing its service charges and interest-paying policies on checking accounts. The daily balance of a checking account is defined to be the balance in the checking account at 2:00pm.
The bank has found that for all personal checking accounts the mean of all the daily balances is $ 900 and the standard deviation is $175.
In addition, the distribution of personal checking account daily balances can be approximated very well with a normal model.
A, B & C form the vertices of a triangle.
∠
CAB = 90°,
∠
ABC = 58° and AB = 9.3.
Calculate the length of BC rounded to 3 SF.
Answer:
To calculate the length of BC in the triangle ABC, we can use the trigonometric functions sine and cosine.
Given that ∠CAB = 90° and ∠ABC = 58°, we can determine that ∠BCA = 180° - 90° - 58° = 32°.
Using the sine function, we can find the length of BC:
sin(∠BCA) = BC / AB
Rearranging the formula, we have:
BC = AB * sin(∠BCA)
Substituting the given values:
BC = 9.3 * sin(32°)
Using a calculator or trigonometric table, we find:
BC ≈ 9.3 * 0.529 = 4.917
Rounding to three significant figures (SF), the length of BC is approximately 4.92 units.
Step-by-step explanation:
The triangular prism below has a height of 13.4 units3 and a volume of 536 units
Find the area of one of its bases.
Answer: 40
Step-by-step explanation:
a. If this trend continues, predict the percent of U.S.house- holds with an Internet subscription in 2025. graph it
b.Explain any issues with your answer to part c.
The requried, predicted percentage of U.S. households with an Internet subscription in 2020 is approximately 88.3%.
To find the number of subscriptions in the year 2020, we need to find the value of y when x = 10 (since x is the number of years after 2010).
Substituting x = 10 into the equation y = 1.56x + 72.7, we get:
y = 1.56(10) + 72.7
y = 15.6 + 72.7
y = 88.3
Therefore, the predicted percentage of U.S. households with an Internet subscription in 2020 is approximately 88.3%.
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A math quiz has 3 multiple choice questions and 2 true/false questions. Each multiple choice questions has 4 answer options: A, B, C, D.
Find the number of possible outcomes.
Answer:
The total number of possible outcomes for the math quiz is 16
Step-by-step explanation:
Can you Please calculate this:
Answer:
14
Step-by-step explanation:
used a calculator to check the answer
el area de la base de un cilindro es de 40 pi m2. expresa el volumen en funcion de la altura
The volume of the cylinder, when expressed as a function of the height of same cylinder, is V ( h ) = 40 h ft ³.
How to express the volume of the cylinder ?The volume V of a cylinder is given by the formula:
V = Area of the base of the cylinder x height of the cylinder
Given that the area of the base A is 40 ft², you can substitute this into the formula to express the volume as a function of height:
V ( h ) = 40 ft ² x h
V ( h ) = 40h ft ³
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If Richard's monthly deposit fee is R69, 95 per R100 what would be the total bank charges for R4200?
what the answer for this?
For the following stock investment, find (a) the total
purchase price, (b) the total dividend amount, (c) the
capital gain or loss, (d) the total return, and (e) the
percentage return. Ignore broker and SEC fees.
(a) What is the total purchase price?
4
Number of shares
Purchase price per share
Dividend per share
Sale price per share
60
$40
$2
$87
Answer:
can you be more clear
Step-by-step explanation:
what exactly does question need
Can someone help me please
After using Gauss-Jordon elimination method, the solution for the system of equation is as follows;
[tex]\left[\begin{array}{cccc}1&0&0&-1\\0&1&0&-3\\0&0&1&-2\end{array}\right][/tex]
How do you find the solution for the system of equation using the elimination method by Gauss-Jordon?To solve the system of equation, its needs us to use the Gauss-Jordon elimination method. Therefore, the matrix
- 5 7 7 -30
1 -4 4 3
2 -4 6 -2 will be reduced to its echelon form as follows;
R₁ ÷ 5 R₂ - R₁ R₃ - 2× R₁
1 −1.4 −1.4 6 1 −1.4 −1.4 6 1 −1.4 −1.4 6
1 −4 4 3 0 2.6 5.4 -3 0 2.6 5.4 -3
2 −4 6 −2 2 −4 6 −2 0 −1.2 8.8 −14
R₂ ÷ -2.6 R₃ - 1.2 R₂
1 −1.4 −1.4 6 1 −1.4 −1.4 6
0 1 -2.077 1.154 0 1 -2.077 1.154
0 −1.2 8.8 −14 0 0 1 -2
R₁ - 1.4R₃ R₂ - 2.077R₃ R₁ - 1.4R₂
1 -1.4 0 3.2 1 -1.4 0 3.2 1 0 0 -1
0 1 -2.077 1.154 0 1 0 -3 0 1 0 -3
0 0 1 -2 0 0 1 -2 0 0 1 -2
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(When a side has a measurement that is a mixed number, what do you need to do to use it in the formula: area = length x width?)
The sides of the rectangle should be in improper fractions, to calculate the area.
When a side has a measurement that is a mixed number, it's recommended to convert it to an improper fraction before using it in the formula for area.
To convert a mixed number to an improper fraction, you multiply the whole number by the denominator of the fraction part and add the numerator.
Then, you put the result over the original denominator.
Once you have the sides of the rectangle as improper fractions, you can proceed to calculate the area using the formula: area = length x width.
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A researcher wants to know the mean weight of all garbage being discarded per household in Gallup, NM. A random sample of n = 9 households is selected and the garbage weighed. The following data is obtained: 10.8, 17.2, 23.1, 27.8, 27.9, 31.0, 33.3, 37.6, 44.5.
Find a) the sample mean________. b) the sample median ________. c) the sample mode ________. d. the sample standard deviation (hint: divide by n -1) __________e) the sample variance _________. f) the sample range ______
Operating at the 90% confidence level:
g) what is the Margin of Error E (show work)
h) Find the 90% confidence interval for the mean weight of all garbage discarded per household in Gallup, NM. (show work)
i) What is the probability that the true population mean lies outside the interval in h) ______.
Operating at the 98% Confidence Level
k) What is the Margin of Error E (show work)
m) Find a 98% confidence interval for the mean weight of all garbage discarded per household in Gallup, NM.
o)What is the probability that the true population mean lies outside the interval in m) _____
Answer: what subject, and i got you.
Step-by-step explanation:
Help with te question pls.P.S. got reward
The amount of water that flows into the tank each minute is given as follows:
0.56 cm.
How to obtain the volume of a rectangular prism?The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, according to the equation presented as follows:
Volume = length x width x height.
The dimensions for this problem are given as follows:
45 cm, 50 cm and 38 cm.
Hence the volume of the tank is given as follows:
V = 45 x 50 x 38
V = 85,500 cm³.
Three-fifths of the volume is given as follows:
3 x 85500/5 = 51300 cm³.
The height associated with 3/5 of the volume is given as follows:
50 x 38 x h = 51300
h = 51300/(50 x 38)
h = 27 cm.
This means that 27 - 13 = 14 cm flew into the tank in 25 minutes, hence the minute rate is given as follows:
14/25 = 0.56 cm.
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A company is making concrete blocks. The blocks are in the form of right trapezoidal prisms and have the dimensions shown. What is the volume of one block? Show your work
Please help I give 40 brainly
Answer:
9180 (cm³)
Step-by-step explanation:
area of cross-section (trapezium) = 0.5 X (12 + 22) X 9
= 0.5 X 34 X 9 = 153 cm²
then multiply that by the length (60)
153 X 60 = 9180 (cm³)
Annabel's water bottle holds 6 cups of water. How many fluid
ounces does it hold?
The amount of fluid ounces of water the water bottle can hold is 48 fluid ounces.
How to find the volume of water in fluid ounces?Annabel's water bottle holds 6 cups of water. Therefore, the amount in fluid ounces the bottle water can hold can be calculated as follows:
Therefore,
1 cup = 8 fluid ounces
6 cups = ?
cross multiply
Hence,
number of fluid ounces of water the water bottle can hold = 8 × 6
number of fluid ounces of water the water bottle can hold = 48 fluid ounces.
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The price of a home is $170,000. The bank requires a 15% down payment. The buyer is offered two mortgage options: 15-year fixed at 10% or 30-year fixed at 10%. Calculate the amount of interest paid for each option. How much does the buyer save in interest with the 15-year option? Use the following formula to determine the regular payment amount.
Answer:36000
Step-by-step explanation:
He saves 36000 dollars
Use the drawing tool(s) to form correct answer on the provided plot
Shawna oversees tour guides at a community college.each week she selects one day to record the number of tours each guide leads for prospective students. The results from last week are presented in the box plot below.
The data for this week is shown below and gives the number of tours led by each tour guide
{ 3,5,3,4,9,7,10,7,3,6,2,5}
Complete the box plot based on the data given above.
A construction of the box-and-whisker plot based on the data is shown below.
What is a box-and-whisker plot?In Mathematics and Statistics, a box plot is also known as a box-and-whisker plot and it can be defined as a type of chart that can be used to graphically or visually represent the five-number summary of a data set with respect to locality, skewness, and spread.
Based on the data (information) provided above, the five-number summary for the given data set include the following:
Minimum (Min) = 2.First quartile (Q₁) = 3.Median (Med) = 5.Third quartile (Q₃) = 7.Maximum (Max) = 10.In conclusion, we can reasonably infer and logically deduce that the maximum number is 10 while the minimum number is 2, and the median is equal to 5.
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What is the area of the composite figure
Answer:
34 units²
Step-by-step explanation:
triangle=1/2×5×2=5
other triangle at the right=5
square 6 ×5= 30
unshaded square= 3×2=6
30-6=24
total=5+5+24=34units²
5. Sketch rectangles with whole number dimension with perimeters that range from 12 to 16 units. a) For each perimeter, what are the dimensions of the rectangle that give the greatest area? b) For each perimeter, what are the dimensions of the rectangle that give the least area? 6. Draw a figure made from square tiles where adding an additional tile decreases the perimeter. 7. A student claims that perimeter is a 2-dimensional measure because one needs to know length and width (or base and height) in order to measure it. How would you respond to this student? 8. Compare a square, equilateral triangle, and circle that each have perimeter of 12 cm. Which has the greatest area? Which has the least area?
The solution to all parts are shown below.
a) For a rectangle with a perimeter of 12 units, the dimensions that give the greatest area are 3 units by 3 units.
For a perimeter of 13 units, the dimensions are 3 units by 3.5 units.
For a perimeter of 14 units, the dimensions are 3.5 units by 3.5 units.
For a perimeter of 15 units, the dimensions are 3.5 units by 4 units.
For a perimeter of 16 units, the dimensions are 4 units by 4 units.
b) For a rectangle with a perimeter of 12 units, the dimensions that give the least area are 1 unit by 5 units.
For a perimeter of 13 units, the dimensions are 1 unit by 6 units.
For a perimeter of 14 units, the dimensions are 2 units by 5 units.
For a perimeter of 15 units, the dimensions are 2 units by 6 units.
For a perimeter of 16 units, the dimensions are 2 units by 7 units.
6. One possible figure made from square tiles where adding an additional tile decreases the perimeter is a "U" shape.
If you arrange 9 square tiles in the shape of a "U", the perimeter is 12 units. If you add another tile to the middle of the "U", the perimeter will decrease to 10 units.
7. Perimeter is a 1-dimensional measure because it only involves adding up the lengths of the sides of a shape. The student's claim that perimeter is a 2-dimensional measure is incorrect.
8. For a square, equilateral triangle, and circle each with a perimeter of 12 cm, the circle has the greatest area and the equilateral triangle has the least area.
To see this, we can use the formulas for the perimeter and area of each shape:
A square with a perimeter of 12 cm has side length 3 cm.Its area is (3 cm)² = 9 cm².
An equilateral triangle with a perimeter of 12 cm has side length 4 cm.Its area can be calculated using the formula A = (√(3)/4) x s², where s is the side length of the triangle.
Thus, the area is (√(3)/4) x (4 cm)² = 4sqrt(3) cm², which is approximately 6.9 cm².
A circle with a perimeter of 12 cm has circumference 12 cm.Its radius can be calculated using the formula C = 2πr, where C is the circumference and r is the radius of the circle.
Thus, r = 6/(2π) cm, which is approximately 0.955 cm.
The area of the circle is πr², which is approximately 2.87 cm².
Therefore, the circle has the greatest area, followed by the square, and the equilateral triangle has the least area.
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Tick the box to show where the hyphen is needed in the sentence below.
Answer:
I’m sorry but I don’t see any sentence below. Could you please provide me with the sentence?
Can someone please help me with this? I’ll give brainlist!!
Answer:
12) x = 6. 13) not tangent
Step-by-step explanation:
12) x² - 5 = 31 (since they are both tangents)
x² = 31 + 5 = 36
x = ±6
x = +6 (has to be positive since it's a length).
13) if it was tangent, angle BAC would be 90°.
that would also mean AB² = BC² - AC²
= 15² - 5²
= 225 - 25
= 200
AB = √200 ≠ 14.
Since the values are different, AB is not a tangent to the circle
Help pleaseee is just one problem
The matrices after the row operations are given as follows:
a) [tex]\left[\begin{array}{cccc}-6&-5&-2&-3\\6&5&-1&-3\\4&10&-12&-8\end{array}\right][/tex]
b) [tex]\left[\begin{array}{cccc}2&5&-6&-4\\6&5&-1&-3\\-6&-5&-2&-3\end{array}\right][/tex]
How to obtain the resultant matrices?The matrix in the context of this problem is defined as follows:
[tex]\left[\begin{array}{cccc}-6&-5&-2&-3\\6&5&-1&-3\\2&5&-6&-4\end{array}\right][/tex]
When we multiply a matrix row by a constant, each element of the row is multiplied by the constant.
Hence the resulting matrix after we multiply row 3 by 2 is given as follows:
[tex]\left[\begin{array}{cccc}-6&-5&-2&-3\\6&5&-1&-3\\4&10&-12&-8\end{array}\right][/tex]
We can also exchange rows of the matrix, hence the resulting matrix after rows 1 and 3 are exchanged is given as follows:
[tex]\left[\begin{array}{cccc}2&5&-6&-4\\6&5&-1&-3\\-6&-5&-2&-3\end{array}\right][/tex]
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HELP ME QUICK. paul is thinking of a number. ⅖ of this number is 14 what is the number??
Answer:
Step-by-step explanation:
If we know that 2/5 of the number is 14, 5/5 must be the answer Paul is thinking of.
= (14/2) x 5 <---- This is 1/5 of the number
= 35
∴, the number Paul is thinking of if 35
Shantae's living room is 20.2 metres long and its width half the size of its length. What is the difference between the length and width of her living room?
determine unkown side length in a right triangle. round to nearest tenth.
side 1= 9
side 2= 3
Step-by-step explanation:
If side 1 and side 2 are LEGS of the triangle, then hypotenuse is found by
hyp^2 = 9^2 + 3^2 using pythagorean theorem
hyp^2 = 90
hyp = sqrt 90 = 3 sqt 10 =9.5 units
If hyp is 9 and 3 is one leg:
9^2 = 3^2 + L^2
L = 6 sqrt 2 =8.5 units
Which of the following algebraic steps will solve the equation 3x/4=7/3 what is the solution
The solution to the equation is x = 28/9
Given data ,
To solve the equation 3x/4 = 7/3, you can follow these algebraic steps:
Step 1 :
Multiply both sides of the equation by 4 to eliminate the fraction in the denominator of the left side:
(4) (3x/4) = (4) (7/3)
3x = (4/1) (7/3)
Step 2:
Simplify the right side of the equation:
3x = 28/3
Step 3 :
Divide both sides of the equation by 3 to isolate x:
(1/3) (3x) = (1/3)(28/3)
x = (28/3) / 3
Step 4 :
Simplify the right side of the equation:
x = 28/9
Hence , the solution to the equation 3x/4 = 7/3 is x = 28/9
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