Answers
Answer:
The distance is 7.3 units.
Step-by-step explanation:
Two given points: (-3, 1) and (4, -1)
[tex]\sf Distance \ between \ two \ points = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
Here given:
x₂ = 4x₁ = -3y₂ = -1y₁ = 1Applying the formula:
[tex]\sf d = \sqrt{(4 - (-3))^2 + (-1 - 1)^2}[/tex]
[tex]\sf d = \sqrt{(7)^2 + (-2)^2}[/tex]
[tex]\sf d = \sqrt{49 + 4}[/tex]
[tex]\sf d = \sqrt{53} \ \approx \ 7.28 \ \approx \ 7.3 \ (rounded)[/tex]
Answer:
7.3
Step-by-step explanation:
The distance of a line segment between two points (x1, y1) and (x2, y2) is given by the formula
[tex]d = \sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]
If we look at the graph,
the leftmost point of the line is at (-3, 1). Let's call this (x1, y1)
the rightmost point is at (4, -1). Let's call this (x2, y2)
Substituting these values into the distance formula gives us
[tex]d = \sqrt{(4-(-3)^2 + (1-(1)^2} \\ \\d = \sqrt{(7)^2 + (-2)^2} \\ \\d = \sqrt{49 + 4} \\\\d = \sqrt{(x2-x1)^2 + (y2-y1)^2}\\\\d = \sqrt{53} = 7.28[/tex]
Rounded to one decimal place, this is 7.3
Related Questions
Many businesses and organizations insist that official communications use professional-looking fonts, such as Times New Roman. Fonts characterized as less professional, such as Comic Sans, should be avoided. A student would like to determine if font choice makes a difference in the average grade on a typed response in English classes. There are currently four English classes available from which the student can collect data, and each class has a similar writing assignment. At the start of the assignment, students are randomly assigned a font, either Times New Roman or Comic Sans, and then complete the assignment. The teachers grade the assignments, and the mean grade for each font is found.
What is the response variable in this experiment?
the font used by each student
the teachers grading the responses
the grade received on each assignment
the length of the student response on the assignment
The Answer is C,c,d,d,b,d,b,c,c,a
Answers
The response variable in this experiment is C. the grade received on each assignment.
What is the response variable?The Response Variable is the result of the experiment after manipulating the explanatory variable.
The response variable can also be called the Dependent or Outcome variable.
In research, the researcher develops a question about the response variable.
Thus, the response variable in this experiment is C. the grade received on each assignment.
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Determine the equation, in both factored and standard forms, of a parabola with zeros at (-2, 0) and (5, 0) and passes through the point (-1, -4)
Answers
The parabola equation in the factored and standard form are f(x) = (x + 2)(x - 5), and f(x) = (x - 3/2)² - 49/4 respectivly.
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
We have:
Parabola with zeros at (-2, 0) and (5, 0) and passes through the point (-1, -4)
In factored forms:
f(x) = (x + 2)(x - 5)
Because zeros at (-2, 0) and (5, 0)
In the standard form:
f(x) = x² - 3x - 10 or
f(x) = (x - 3/2)² - 49/4
Thus, the parabola equation in the factored and standard form are f(x) = (x + 2)(x - 5), and f(x) = (x - 3/2)² - 49/4 respectivly.
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Given the arithmetic sequence where a_{1} = - 5 and d = 6 , what is a_{5} ?
Answers
A balloon floats 18.5 kilometers east
and then 24.6 kilometers north.
What is the angle of the
balloon's resultant vector?
Hint: Draw a vector diagram.
[?]°
Round your answer to the nearest tenth.
Answers
Using Pythagorean theorem and trigonometric ratio, the resultant vector is 30.72km and the angle between is 53.1°
What is the angle of the balloon's resultant vector?To determine the balloon's resultant vector, we can use the concept of Pythagorean theorem;
x² = 18.5² + 24.6²
x² = 943.72
x = √(943.72)
x = 30.72km
The resulatant vector is 30.72km
Let's calculate the angle of the vector;
To determine the angle of the vector, we can use trigonometric ratios;
tanθ = opposite / adjacent
tanθ = 24.6 / 18.5
tanθ = 1.33
θ = tan⁻¹ 1.33
θ = 53.1°
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Suppose that a researcher is interested in estimating the mean systolic blood pressure, , of executives of major corporations. He plans to use the blood pressures of a random sample of executives of major corporations to estimate . Assuming that the standard deviation of the population of systolic blood pressures of executives of major corporations is mm Hg, what is the minimum sample size needed for the researcher to be confident that his estimate is within mm Hg of
Answers
The minimum sample size needed in the research of systolic blood pressure is 68.
Given standard deviation=25 mm Hg, confidence level=90%, Estimation =5 mm Hg.
We have to first find the level of alpha which is known as error.
α=(1-0.9)/2
=0.05
Now we have to find z in the z table as such z has a p value of 1-α,that is z with a p value of 1-0.05
=0.95 ,so Z=1.645.
now finding the margin of error, which is as under:
[tex]M=z st/\sqrt{n}[/tex]
in which st is standard deviation and the n is sample size of population.
By assuming the standard deviation of 25 mm Hg we get values as under:
n is sample size.
[tex]M=z* st/\sqrt{n}[/tex]
[tex]5=1.645*25/\sqrt{n}[/tex]
[tex]5\sqrt{n}=1.645*25\\[/tex]
dividing both sides by 5
[tex]\sqrt{n}=1.645*5[/tex]
squaring both sides we get
n=67.65.
Hence the sample size needed by the researcher is 68.
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The given question is incomplete as it should includes :
standard deviation= 25mm Hg
Confidence level=90%
Estimation 5 mm Hg of u.
k – 8 = 12. Pls help
Answers
Answer:
k = 20
Step-by-step explanation:
1) Isolate the variable
k - 8 = 12
+8 +8
2) Solve
k = 12+8
k = 20
Classify the following triangle. Check all that apply.
Answers
Answer:
E. Isosceles Triangle
Step-by-step explanation:
It is because it has 2 equal sides and 2 equal angles.
Help me with these pls
Answers
Answer:
Khan Academy.
Step-by-step explanation:
You can go on khan academy and search up "equations and expressions" The videos should immediately pop up. there are also lessons if you don't want to risk getting your problem wrong. If you are still confused and do not understand please just comment and I will respond.
The graph represents a system of linear equations comparing the outside and inside temperatures y, in degrees Fahrenheit, recorded at a school one day x hours after 8:00 a.m.
A coordinate grid showing Daily Temperature with Hours after 8:00 a m on the horizontal, x axis and Temperature in degrees Fahrenheit on the vertical, y, axis. One line labeled Inside passes through (0, 70) and (8, 70). The second line passes through (0, 58) and passes through (8, 70).
After how many hours were the inside and outside temperatures equal?
6 hours
7 hours
8 hours
10 hours
Answers
Using linear functions, it is found that the temperatures would be equal after 8 hours.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.Two functions are equal when they intersect. In this problem, both lines pass through point (8,70), that is, they have the same temperature(of 70 degrees) after 8 hours.
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HELP PLEASE! will give brainliest
Answers
A shopkeeper bought two watches for rs. 400.he sold them to gain 5 percent on one and lose 5 percent on the other .calculate his final gain or loss lercent if the sp of both watches is the same.
Answers
The final loss percent is 0.25%.
What is the final loss percent?The gap between the cost price and the selling price is what is referred to as a loss. And the loss percent is the loss as a percentage of the actual cost.
Total CP=Rs. 400
Let the CP of the first watch be Rs. x
So, CP of the second watch=Rs.(400-x)
For the first watch,
Gain Percent=5%
SP = [tex](1+\frac{5}{100})*x[/tex]
SP=105x/100
For the second watch,
Loss Percent=5%
SP=[tex](1-\frac{5}{100})(400-x)[/tex]
SP=95(400-x)/100
As the SP of both the watches is the same.
[tex]\frac{105}{100}x=\frac{95}{100}(400-x)[/tex]
105x=38000-95x
105x+95x=38000
200x=38000
x=38000/200
x=190
CP of the first watch=Rs. 190
CP of the second watch=Rs. (400-190)=Rs. 210
SP of first watch=[tex]\frac{105}{100}*190[/tex] =Rs. 199.50
SP of second watch=[tex]\frac{95}{100}*210[/tex]=Rs. 199.50
Total SP=Rs. 399
Final Loss=Total CP-Total SP
=Rs.(400-399)
=Rs. 1
Final Loss Percent=100/400
=0.25%
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In Washington County, 850 homes were sold in 2017. How many homes were sold in the Southwest region?
A)102
B)1,020
C)1,231
D)588
Answers
Option A is correct answer; i.e. 102 homes were sold in 2017.
What is Pie Chart?A pie chart is a type of graph that records data in a circular manner that is further divided into sectors for representing the data of that particular part out of the whole part.
Here,
Total Homes sold in 2017 = 850 homes.
Homes sold in Southwest region = 12 % of the total.
= 0.12 X 850
= 102.
Thus, option A is correct answer; i.e. 102 homes were sold in 2017.
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The function f(x) goes through the point (1, 8). What point will this translate to in the function f(x) = (x - 4) + 5?
Answers
Answer:
A. (5, 13)
Step-by-step explanation:
The function f(x) = (x - 4) + 5 is the translation of the function f(x) 4 units right and 5 units up and the rule is:
(x, y) → (x + 4, y + 5)
Apply the rule to the given point to get:
(1, 8) → (1 + 4, 8 + 5) = ( 5, 13)
Correct choice is A
Can I Please Get Help I Need The Units With The Answer Too
Answers
The rate of change of the the given table is: 3/4soda per dollar.
What is the Rate of Change?Rate of change = change in total cost / change in number of sodas.
Using (24, 18) and (28, 21), we would have:
Rate of change = (21 - 18)/(28 - 24)
Rate of change = 3/4
Therefore, the rate of change is 3/4soda per dollar.
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HELP ME I AM TOST DOSE ANYONE KNOW THIS
Answers
The numeric values for the expressions are given as follows:
A² x (B - C) = 3.75.A - B + C = 4.85.B x (A - C) = 3.3.B + C - A = 3.65.How to find the numeric value of an expression?The numeric value of an expression is found replacing the letters by their numeric values.
The values of the letters are given as follows: A = 5, B = 4.4, C = 4.25.
Hence the values of the expressions are:
A² x (B - C) = 5² x (4.4 - 4.25) = 3.75.A - B + C = 5 - 4.4 + 4.25 = 4.85.B x (A - C) = 4.4 x (5 - 4.25) = 3.3.B + C - A = 4.4 + 4.25 - 5 = 3.65.More can be learned about the numeric value of an expression at https://brainly.com/question/14556096
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A graph titled Cost of a Lunch in a School's Cafeteria has Days since school started on the x-axis and cost of lunch (dollars) on the y-axis. A horizontal line is at y = 2.5.
Which is correct about the graph’s slope?
Its slope is positive.
Its slope is negative.
Its slope is zero.
It has no slope.
Answers
The true statement about the graph's slope is (c) Its slope is zero.
How to determine the true statement?From the question, we have:
A horizontal line is at y = 2.5.
The horizontal line implies that the cost of lunch do not change
Horizontal lines have a slope of 0
Hence, the true statement about the graph's slope is (c) Its slope is zero.
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Simplify. ( 2 questions )
Answers
Answer:
7) y⁹
9) a⁸
Step-by-step explanation:
when we multiply two exponents (of the same base), we can add them
so, a² · a³ = a² ⁺ ³ = a⁵
let's test it out!
(a = 2 in our example)
2² · 2³ = 2⁵
4 · 8 = 32 (2⁵ = 32)
32 = 32
because this is true, we know that we can add exponents of the same base when multiplying them together
now, let's try out the question at hand:
y³ · y⁶
well, we know that 3 + 6 = 9, so y³ · y⁶ can be simplified to y⁹
--
now, we're going to be working with division. We know that division is the inverse of multiplication, so we logically know that instead of adding exponents, we subtract them when dividing
here,
a³ ÷ a² would equal a¹ (3 - 2 = 1)
let's put a = 2 again:
a³ ÷ a² = a³ ⁻ ² = a¹ = a
2³ ÷ 2² = 2¹
8 ÷ 4 = 2
2 = 2
once again, we have proven this shortcut to be true
now, to the problem at hand!
first, we can multiply a³ · a⁹
a³ · a⁹ = a³ ⁺ ⁹ = a¹²
so, let's rewrite the problem:
a¹² / a⁴
because we're dividing with exponents, we can subtract 12 - 4
a¹² / a⁴
a¹² ÷ a⁴
a¹² ⁻ ⁴
a⁸
so, our simplified answer is a⁸
(note: they must be the same base, [the thing that the exponent is attached to] for this to apply)
hope this helps (and makes sense)! have a lovely day :)
The required simplification is [tex]y^{9}[/tex] and [tex]a^{8}[/tex] .
To simplify the following 1 ) [tex]y^3* y^6[/tex] 2 ) [tex]\frac{a^3*a^9}{a^4}[/tex].
What is simplification?The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.
1 ) [tex]y^3* y^6[/tex]
= [tex]y^3* y^6[/tex]
since the base of the exponents is the same so the powers of y get added
[tex]=y^{3+6}[/tex]
[tex]=y^{9}[/tex]
2 ) [tex]\frac{a^3*a^9}{a^4}[/tex]
[tex]=\frac{a^3*a^9}{a^4}[/tex]
since the base of the exponents is the same so the powers of a get added in the numerator.
[tex]=\frac{a^{3+9}}{a^4}[/tex]
[tex]=\frac{a^{12}}{a^4}[/tex]
Now, the power of the numerator will get decreased by the power of the denominator because the base is common i.e. a
[tex]=a^{12-4}[/tex]
[tex]=a^{8}[/tex]
Thus the required simplification is [tex]y^{9}[/tex] and [tex]a^{8}[/tex] .
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What is 8ab-5bc +21ba-7?
Answers
Answer:
29ba - 7 - 5bc
Step-by-step explanation:
8ab-5bc +21ba-7
The terms 8ab, 5bc, and 21ba are made up of units multiplied by each other. This means that each can be rewritten in a different order. For example,
8ab is the same as:
8ba, b8a, ab8, ba8, or a8b
We may rewrite the terms to see the ones that can be combined.
8ab-5bc +21ba-7
8ba-5bc +21ba-7
8ba+21ba-7-5bc
29ba - 7 - 5bc
Work out the volume of the cone, giving your answer
to 3 significant figures.
Answers
Answer: 1010
Step-by-step explanation:
[tex]V=\frac{1}{3}(\pi)(8^{2})(15) \approx \boxed{\text{ } 1010 \text{ cm}^{3}}[/tex]
x−10y=12
10x+10y=10 Addition Elimination
Answers
Answer:
x = 2 and y = -1
Step-by-step explanation:
that is the solution above
Answer:
x = 2
y == -1
Step-by-step explanation:
Solving linear equations by elimination method:x - 10y = 12 ----------------(I)
10x + 10y = 10 --------------(II)
We can find the value of 'x' by eliminating 'y'. To eliminate 'y', add equations (I) & (II)
(I) x - 10y = 12
(II) 10x + 10y = 10 {Now add the equations}
11x = 22
x = 22 /11
[tex]\sf \boxed{\bf x = 2}[/tex]
Now, Plugin x = 2 in equation (1)
10*2 + 10y = 10
20 + 10y = 10
10y = 10 - 20
10y = -10
y = -10/10
[tex]\sf \boxed{\bf y = -1}[/tex]
Find the missing side length of the triangle
Answers
Answer:
1
Step-by-step explanation:
from sohcahtoa
tan = oppisite/ajacent
tan =5/5
tan = 1
Answer:7.07 ft
Step-by-step explanation:
use Pythagoras theorem for this one, in this question you have to find the hypotaneous, just use the formula H squared=b squared + p squared.
h squared =5 squared +5 squared
h squared =50
the squared on h will go on the other side and become the underfoot, so take the underfoot of 50
which givesus h=7.0
Which of the following options have the same value as 40% percent of 84?
Choose 2 answers
Answers
Answer:
The answer in decimal form is 33.6.
The answer in fraction form is [tex]33\frac{3}{5}[/tex].
Step-by-step explanation:
To find 40% of 84, multiply 84 and 0.4.
84 × 0.4 = 33.6
The answer in decimal form is 33.6.
The answer in fraction form is [tex]33\frac{3}{5}[/tex].
Hope this helps!
Which numbers are the means of the proportion shown below?
213
818
3 30
A. 2 and 30
B. 3 and 30
C. 2 and 20
D. 3 and 20
Answers
The numbers which are the means of the proportion as given in the task content are in; Choice D; 3 and 20
Which numbers are the means of the proportion shown below?It follows from the task content that the proportion whose mean is to be evaluated in the task content is; 2/3 = 20/30.
On this note, it follows that the numbers 2 and 30 are the lower and upper extremes of the property and hence, 3 and 20 are the mean of the proportion.
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Please please please help i need help asap im so lost
if x^3 - 7x + 16x - 12 + (x-a) (x-b) (x-c) for all values of x, what is the value of abc?
Answers
[tex](x - a)(x - b)(x - c) \\ (x {}^{2} - bx - ax + ab)(x - c) \\ x {}^{3} - bx {}^{2} - ax {}^{2} + abx - cx {}^{2} + cbx + cax - abc[/tex]
[tex]x {}^{3} + ( - a - b - c)x {}^{2} + (ab + cb + ca)x - abc [/tex]
[tex] - a - b - c = - 7 \\ ab + ac + bc = 16 \\ - abc = - 12 \: \: \: \: \: abc = 12[/tex]
( a , b , c ) = ( 2 , 2 , 3 )Directions: Indicate the FOIL for the problem:
(3x-2)(2x-3) First
Answers
Answer:
[tex]6x^{2} +9x -4x+6\\[/tex]
Step-by-step explanation:
First you take 3x times 2x since its the first of both equations, which will give you 6x squared.
Then take the outer ones of both problems which is 3x times 3 which is 9x.
Then the inner, -2 times 2x which is -4x
Then the last of both individual problems which is -2 times -3 which is positive 6.
Describe the zeros of the graphed function.
Answers
Answer:
A.
Step-by-step explanation:
This is a 4th degree polynomial. The function has two roots at x = 0, and two more roots at x = -2 and x = 2. Since the two roots at x = 0 are just one number, the function has three distinct real roots.
Answer: A.
f(x)=6x^3-4, g(x)=2x+2, find (g-f)(x)
Answers
The value of (g-f)(X) is 2x - 6x³ +6.
what is Function?An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given:
f(x)= 6x³-4, g(x)= 2x+2
Now,
(g-f)(x)= g(x)-f(x)
= 2x+2-( 6x³-4)
=2x+2- 6x³+4
=2x - 6x³ +6
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11. Find the slope of the line that passes through the pair of points. (2, 6), (7, 0)
Answers
[tex]\Large\maltese\underline{\textsf{Our problem:}}[/tex]
Find the slope of the line that passes through the pair of points.
[tex]\Large\maltese\underline{\textsf{This problem has been solved!}}[/tex]
In this problem we have two points given to us, which are...
(2,6)(7,0)... and we should find the slope.
[tex]\bf{We\;will\;use\;the\;Slope-Equation:}\\m=\dfrac{y2-y1}{x2-x1}[/tex]
[tex]\bf{\dfrac{0-6}{7-2}=\dfrac{-6}{5} =-\dfrac{6}{5}[/tex]
[tex]\rule{300}{1.7}[/tex]
[tex]\bf{Slope:}[/tex]
[tex]\bf{=-\dfrac{6}{5}}[/tex]
[tex]\boxed{\bf{aesthetic \not101}}[/tex]
Find the quotient:
15x²-3x
————
-3x
Enter the correct answer.
Answers
Answer:
-5x + 1
Step-by-step explanation:
Hello!
We can find the quotient by factoring the numerator, and cancelling common factors.
Simplify[tex]\frac{15x^2 - 3x}{-3x}[/tex][tex]\frac{(-3x)(-5x + 1)}{-3x}[/tex][tex]\frac{\not{(-3x)}(-5x + 1)}{\not{-3x}}[/tex][tex]-5x +1[/tex]The quotient is (-5x + 1).
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Equation:}[/tex]
[tex]\mathbf{\dfrac{15x^2 - 3x}{-3x}}[/tex]
[tex]\huge\textbf{Simplify the current equation:}[/tex]
[tex]\mathbf{= \dfrac{-3x(-5x + 1)}{-3x}}[/tex]
[tex]\huge\textbf{Cancel out \boxed{\bf -3x} \& simplify it:}[/tex]
[tex]\mathbf{= \dfrac{-15x + 3}{3}}[/tex]
[tex]\huge\textbf{Simplify that above:}[/tex]
[tex]\mathbf{= -5x + 1}[/tex]
[tex]\huge\textbf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf{-5x + 1 }}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
The ratio of Anne's height: Ben's height is 7:9.
Anne's height is 1.4m.
Find Ben's height.
Answers
Answer:
Ben's height is 1.8 mStep-by-step explanation:
The ratio of Anne's height: Ben's height is 7:9.
Anne's height is 1.4m.
Find Ben's height.
we can solve with an equation
7 : 9 = 1.4 : x
x = 9 * 1.4 : 7
x = 1.8 m