Answer:
deposited rs. 2100 of a tv and rs. 3570 paid remainder after 3 years
A coordinate plane with a line passing through points (1, 2) and (4, 4)
The slope of the graphed line is . Which formulas represent the line that is graphed? Check all that apply.
y – 1 = (x – 2)
y – 2 = (x – 1)
y – 4 = (x – 4)
f(x) = x +
f(x) = x +
A straight line is represented by a linear equation given below.
The points are given as (1, 2) and (4, 4).
Start by calculating the slope (m)
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
So, we have
[tex]m=\frac{4-2}{4-1} \\m=\frac{2}{3}[/tex]
What is the slope-intercept form of the line?The equation in slope-intercept form is then calculated as:
[tex]y=m(x-x_1)+y_1[/tex]
So, we have:
[tex]y=\frac{2}{3}(x-1)+2\\ \\y=\frac{2}{3}(x-4)+4\\[/tex]
Expand
[tex]y=\frac{2}{3}(x-1)+2\\ y=\frac{2}{3} x-\frac{2}{3}+2[/tex]
Take LCM
[tex]y=2/3x+4/3[/tex]
Multiply through by 3
3y=2x+4
So, the possible equations are:
.[tex]3y=2x+4\\y=\frac{2}{3}x+\frac{4}{3} \\y=\frac{2}{3}(x-1)+2\\y=\frac{2}{3}(x-4)+{4}[/tex]
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Answer:
B
C
E
Step-by-step explanation:
other dudes are wrong
The table shows information about the population of a town. emily takes a random sample of 90 people from the town. 40 of these people have not been to their doctor in the last year. work out an estimate for the number of people in the town who have not been to their doctor in the last year (2 marks)]
The estimate for the number of people in the town who have not been to their doctor in the last year is 7062.
What are population and sample?It is described as a collection of data with the same entity that is linked to a problem. The sample is a subset of the population, yet it is still a part of it.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
Total population = 1819 + 6150 + 2003 + 5918 = 15890
Emily takes a random sample of 90 people from the town.
40 of these people have not been to their doctor in the last year.
The estimate for the number of people in the town who have not been to their doctor in the last year:
= (40/90)×15890
= 7062.22 ≈ 7062
Thus, the estimate for the number of people in the town who have not been to their doctor in the last year is 7062.
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Please could you explain this step by step I’m really stuck.
Answer:
x = -2.5
x = 2
Step-by-step explanation:
Hello!
We can remove the denominators by multiplying everything by it.
Solve:
[tex]\frac{5}{x + 3} + \frac4{x + 2} = 2[/tex][tex]5 + \frac{4(x + 3)}{x + 2} = 2(x + 3)[/tex][tex]5 + \frac{4x + 12}{x + 2} = 2x + 6[/tex][tex]5(x + 2) +4x + 12 = (2x + 6)(x + 2)[/tex][tex]5x + 10 + 4x + 12 = 2x^2 + 6x + 4x + 12[/tex][tex]9x + 22 = 2x^2 + 10x + 12[/tex]Let's make one side equal to 0.
[tex]0 = 2x^2 + x - 10[/tex]Solve by factoring, and then the zero product property.
[tex]0 = 2x^2 + x - 10\\[/tex]Multiply 2 and -10. You get -20. Think of two number that multiply to -20, and add to 1. If we think about the standard form of a quadratic, [tex]ax^2 + bx + c[/tex], think two numbers that equal "ac" and add up to "b".
[tex]0 = 2x^2 - 4x + 5x - 10[/tex][tex]0 = 2x(x - 2) + 5(x - 2)[/tex][tex]0 = (2x + 5)(x - 2)[/tex]Using the zero product property, set each factor to 0 and solve for x.
2x + 5 = 0The two answers are x = -2.5, and x = 2.
Answer:
x = -5/2, 2
Step-by-step explanation:
Given:
[tex]\displaystyle \large{\dfrac{5}{x+3}+\dfrac{4}{x+2} = 2}[/tex]
With restriction that x-values cannot be -3 and -2 else it will turn the expression as in undefined.
First, multiply both sides by (x+3)(x+2) to get rid of the denominator.
[tex]\displaystyle \large{\dfrac{5}{x+3}\cdot (x+2)(x+3)+\dfrac{4}{x+2} \cdot (x+2)(x+3) = 2 \cdot (x+2)(x+3)}\\\\\displaystyle \large{5(x+2)+4(x+3) = 2(x+2)(x+3)}[/tex]
Simplify/Expand in:
[tex]\displaystyle \large{5x+10+4x+12 = 2(x^2+5x+6)}\\\\\displaystyle \large{9x+22=2x^2+10x+12}[/tex]
Arrange the terms or expression in quadratic equation:
[tex]\displaystyle \large{0=2x^2+10x+12-9x-22}\\\\\displaystyle \large{2x^2+x-10=0}[/tex]
Factor the expression:
[tex]\displaystyle \large{(2x+5)(x-2)=0}[/tex]
Solve like linear equation as we get:
[tex]\displaystyle \large{x=-\dfrac{5}{2}, 2}[/tex]
Since both x-values are not exact -2 or -3 - therefore, these values are valid. Hence, x = -5/2, 2
What does s(8) = 6.0 mean in terms of this problem?
A.A tree that is 6 years old is 8 meters tall.
B.A tree that is 8 years old is 6 meters tall.
C.8 different trees are 6 meters tall.
D.6 different trees are 8 meters tall.
Answer: C i think.
Step-by-step explanation:
8 different trees multipled by s equal to 6 meters tall in total.
Step 1: Choose a point on the line, such as (2, 5).
Step 2: Choose another point on the line, such as (1, 3).
Step 3: Count units to determine the slope ratio. The line runs 1 unit to the right and rises 2 units up, so the slope is StartFraction one-half EndFraction.
Step 4: Substitute those values into the point-slope form.
y – y1 = m(x – x1)
y – 3 = y minus y 1 equals m left-parenthesis x minus x 1 right-parenthesis. (x – 1)
Which of Talia’s steps is incorrect?
Step 1 is incorrect because it uses a point that is not on the line.
Step 2 is incorrect because it uses a point that is not on the line.
Step 3 is incorrect because it shows an incorrect ratio for the slope.
Step 4 is incorrect because it shows an incorrect substitution of (1, 3) into the point-slope form.
The step of Talia that's incorrect.The step that is incorrect is: C. Step 3
How to find the slope?The slope of a line or straight object is the ratio of how much amount of rise occurs in correspondence to the increment in the run.
Thus, we get:
Slope = rise/ run
Calculating the slope using two points on the line, (2, 5) and (1, 3), we have:
Slope (m) = (5 - 3)/(2 - 1)
Slope (m) = (2)/(1)
Slope (m) = 2
This shows that the ratio of the slope calculated by Talia was wrong. The step that is incorrect is: C. Step 3
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What is the probability that you would land on a R and then a P?
Answer:
multiply the probability of the first event by the second.
Step-by-step explanation:
Use the specific multiplication rule formula. Just multiply the probability of the first event by the second. For example, if the probability of event A is 2/9 and the probability of event B is 3/9 then the probability of both events happening at the same time is (2/9)*(3/9) = 6/81 = 2/27.
Answer:
[tex]\frac{1}{26} * \frac{1}{26} = \frac{1}{676} = .00148.[/tex]
Step-by-step explanation:
Multiply the probability of P by the probability of Q.
In which the probability of P is equal to [tex]\frac{R}{Total NumberOf LettersInAlphabet} = \frac{1}{26}[/tex]
In which the probability of Q is equal to [tex]\frac{P}{Total NumberOf LettersInAlphabet} = \frac{1}{26}[/tex]
There's a 1 in 676 chance that you'd randomly pick R, put the tile back in, and then pick P in a sack of 26 letters of the latin alphabet.
Which expression is equivalent to
By taking a common factor, we will see that the equivalent expression is:
[tex]12*\sqrt[3]{6c}[/tex]
How to find the equivalent expression?
Here we start with the expression:
[tex]5*\sqrt[3]{6c} + 7*\sqrt[3]{6c}[/tex]
Notice that if we define:
[tex]\sqrt[3]{6c} = u[/tex]
We can rewrite our expression as:
[tex]5u + 7u[/tex]
Now we can take the common factor u to write:
[tex](5 + 7)u = 12u[/tex]
Now if we replace u y the cubic root, we will get:
[tex]12*\sqrt[3]{6c}[/tex]
So the correct option is the third one.
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A brick of aluminum weighs 19,745 grams and has the following dimensions: length 29 cm, height 15 cm, and width 51 mm. What is the approximate density of the aluminum? Round to the nearest tenth.
If the volume of the aluminum brick will be 2218.5 cubic cm. Then the approximate density of the aluminum will be 8.9 grams per cubic cm.
What is density?Density is defined as the mass per unit volume. It is an important parameter in order to understand the fluid and its properties. Its unit is kg/m³.
The mass and density relation is given as
Density = mass/volume
A brick of aluminum weighs 19,745 grams and has the following dimensions: length 29 cm, height 15 cm, and width 51 mm.
Then the approximate density of the aluminum will be
The volume of the aluminum brick will be
V = 29 x 15 x 5.1
V = 2218.5 cubic cm
Then the density will be
D = 19,745 / 2218.5
D = 8.900 gram per cubic cm
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Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:
y ≥ −3x + 3
y is less than 3 over 2 times x minus 6
Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area. (6 points)
Part B: Is the point (−6, 3) included in the solution area for the system? Justify your answer mathematically. (4 points)
(10 points)
Inequalities help us to compare two unequal expressions. (-6, 3) is not the solution to the system of inequalities.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
The graph of y ≥ −3x + 3 will be a solid line with the equation y=−3x + 3, this solid line signifies that the value on this line is also included in the solution. Since the symbol is '≥' therefore the area above the line will have the solutions.
The graph of y<(3/2)x -6 will be a dashed line with the equation y=(3/2)x - 6, this dashed line signifies that there is no solution on the line. since the inequality symbol is '<' therefore, the area under the dashed line will have all the solutions.
The area where both shaded areas meet is the area that will have all the possible solutions.
PartB:
y ≥ −3x + 3
3 ≥ -3(-6) + 3
3 ≥ 18 + 3
Since the above inequality is not satisfied, (-6, 3) is not the solution to the system of inequalities.
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i have no clue how to do this can you please show the steps?
Let's consider the information at hand:
the triangle is a 45-45-90 triangle⇒ has some special property about its side length
⇒ look at the diagram I attached
Using the same ratios of side length as seen in the diagram:
⇒ we get the equation:
[tex]\frac{1}{\frac{\sqrt{2} }{2} } =\frac{x}{3\sqrt{2} } \\\frac{\sqrt{2} }{2}*x=3\sqrt{2} \\\frac{x}{2}=3\\ x=3*2\\x=6[/tex]
Thus x = 6.
Answer: x = 6
Hope that helps!
If 2x⁴,2y⁴,2z⁴=144,then find the mean of x⁴,y⁴,z⁴.
[tex]\text{Given that,}\\\\~~~~~~~2x^4 +2y^4 +2z^4 = 144\\\\\implies 2(x^4+y^4 +z^4) = 144\\\\\implies x^4 +y^4 +z^4 = \dfrac{144}{2}\\\\\implies x^4 +y^4 +z^4 = 72\\\\\text{Mean} = \dfrac{x^4+y^4+z^4}{3}\\\\~~~~~~~~=\dfrac{72}{3}\\\\~~~~~~~~=24[/tex]
Which equation represents a line that passes through (5’1) and has a slope of 1/2?
Answer: C. y - 1 = 1/2(x-5)
Step-by-step explanation:
point-slope form: y - y1 = m(x - x1)
m = 1/2
y1 = 1
x1 = 5
y - 1 = 1/2(x-5)
A man claims to have extrasensory perception (ESP). As a test, a fair coin is flipped 23 times, and the man is asked to predict the outcome in advance. He gets 20 out of 23 correct. What is the probability that he would have done at least this well if he had no ESP
The probability that he would have done at least this well if he had no ESP is 0.99979
What is the probability of determining that he would have done well with no ESP?To determine the probability, we need to first find the probability of doing well with ESP.
The probability of having 20 correct answers out of 23 coin flips is:
[tex]\mathbf{=(\dfrac{1}{2})^{20}}[/tex]
Since we have 20 correct answers, we also need to find the probability of getting 3 answers wrong, which is:
[tex]\mathbf{=(\dfrac{1}{2})^{3}}[/tex]
There are [tex](^{23}_{20})[/tex] = 1771 ways to get 20 correct answers out of 23.
Therefore, the probability of doing well with ESP is:
[tex]\mathbf{= 1771 \times (\dfrac{1}{2})^{20}} \times (\dfrac{1}{2})^{3}}[/tex]
= 0.00021
The probability that he would have at least done well if he had no ESP is:
= 1 - 0.00021
= 0.99979
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(1/4)2 the 2 is a exponent btw
Answer:
[tex]\frac{1}{16}[/tex]
Step-by-step explanation:
[tex](\frac{1}{4}) ^{2}[/tex] can also be written as [tex](\frac{1}{4} )(\frac{1}{4} )[/tex]
So the answer is just [tex]\frac{1}{16}[/tex]
Answer this question in 20 mins timer start now or else the question will go away and u would give point 25 points Ready Set GOOOO!!
Answer:
cost of a doughnut is $0.75
cost of a cookie is $0.60
Step-by-step explanation:
As you wrote:
Let x = doughnuts
Let y = cookies
The first sentence of the problem (alexandra) can be written as:
[tex]2x + 3y = 3.30[/tex]
The second sentence of the equation (briana) can be written as:
[tex]5x + 2y = 4.95[/tex]
We must now solve for either [tex]x[/tex] or [tex]y[/tex] in this system of equations.
I will solve for [tex]x[/tex] in this example.
First we need to multiply the first equation by [tex]2[/tex] and the second equation by [tex]3[/tex]. This is so both equations have [tex]6y[/tex] as a term.
Equation 1:
[tex]2(2x + 3y) = (3.30)2\\4x + 6y = 6.60[/tex]
Equation 2:
[tex]3(5x + 2y) = (4.95)3\\15x+6y=14.85[/tex]
Now that both equations have [tex]6y[/tex] as a term, we can subtract Equation 1 from Equation 2. This will remove y from the equation and allow us to solve for x.
[tex](15x+6y) - (4x+6y) = (14.85) - (6.60)\\11x = 8.25\\\boxed{x = 0.75}[/tex]
We now know the cost of a doughnut is $0.75. Now we can solve for the cost of a cookie through substitution.
[tex]2x + 3y = 3.30\\2(0.75) + 3y = 3.30\\1.50 + 3y = 3.30\\3y = 1.80\\\boxed{y = 0.6}[/tex]
Now we know the cost of a cookie is $0.60.
These are the answers,
- Kan Academy Advance
There is 2.50m of rope and 11.5 inch pieces are cut. How many centimeters of rope will be left over?
Answer:
1.42 cm
Step-by-step explanation:
2.5 m = 98.4251 inches
98.4251 in / 11.5 in =8.5587
.5587 inches left over =1.42 cm
There will be 18.87 centimeters of rope left over.
What is unit conversion?It is the conversion of one unit to another unit with its standard conversion.
Examples:
1 hour = 60 minutes
1 minute = 60 seconds
1 km = 1000 m
We have,
Let's convert the length of the rope to inches.
1 meter = 39.37 inches
2.50m = 98.43 inches
Now,
The number of 1.5-inch pieces.
= 98.43 / 11.5
= 8.55 pieces
Now,
11.5 inches pieces are cut.
This means,
= 98.43 - (8x11.5)
= 7.43 inches
Now,
1 inch = 2.54 cm
7.43 inch = 18.87 cm
Thus,
There will be 18.87 centimeters of rope left over.
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Subtract.
5x²-5x+1
(2x² +9x-6)
OA. 3x² - 4x+7
OB. 3x² + 4x-5
OC. 3x² +14x-5
OD. 3x²-14x+7
SUBMIT
Answer:
C) [tex]3x^2-14x-5[/tex]
Step-by-step explanation:
[tex](5x^2-5x+1)-(2x^2+9x-6)\\\\5x^2-5x+1-2x^2-9x-6\\\\3x^2-14x-5[/tex]
The subtraction of the given expressions gives D. 3x² - 14x + 7.
What are Expressions?Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.
Given are two expressions.
5x² - 5x + 1 and 2x² + 9x - 6
We have to find the difference of the given expression.
(5x² - 5x + 1) - (2x² + 9x - 6)
= 5x² - 5x + 1 - 2x² - 9x + 6
Operating the like terms together,
= (5x² - 2x²) + (-5x - 9x) + (1 + 6)
= 3x² - 14x + 7
Hence the correct option is D.
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-2b + 9 = 25
ones step and two step equation Screenshot of example
Answer:
b = -8
Step-by-step explanation:
-2b + 9 =25
-9 = -9
-2b = 16
/-2 /-2
b = -8
Project: slang
here is your goal for this assignment:
recognize the use of slang in context
read a page or two of a newspaper. pick out several words that come from slang. (the sports section is a good place to find these terms. ) type a list.
remember to document your source properly, using mla format
The purpose of using slang is mostly for social purposes such as:
It is use as a kind of identity identify for any members of a group.It is often used to oppose an already set up authority.What is the use of slangs about?Slangs is often used in the Sharing and keeping of a constantly altering vocabulary aids.
It is used to show group solidarity and it is often used to include or exclude members.
The common sports slangs are:
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A fish swims at a speed of 12 miles per hour a boy swims at a speed of 4.44 feet per second. How much faster does the fish swim than the boy in yards per minute?
3ft = 1yd
5280= 1 mile
Answer:
I don't know it
Step-by-step explanation:
try with an textbook you have
How to solve for x and what does x equal in this?
Answer:
10
Step-by-step explanation:
give brainliest please!
hope this helps :)
so these two angles add up to 180 degrees
7x -3 + 12x -7 = 180
7x+12x=180+7+3
19x=190
x=10
to check if this is true we can input 10 for x in each side.
7(10)-3 = 67
12(10)-7 = 113
113+67 = 180
Complete the pairs of corresponding parts if AABD = AEFC.
B
Answer:
see explanation
Step-by-step explanation:
since the triangles are congruent, then corresponding angles are congruent.
∠ B = ∠ F
∠ FCE ≅ ∠ BDA
∠ EFC ≅ ∠ ABD
∠ FEC ≅ ∠ BAD
note that the order of letters in Δ ABD follows the same order as those in Δ BDA
PLEASE HELPP! RIGHT ANSWERS ONLY!!!
Answer:
[tex] \large {\boxed{ \sf{y = 2x + 5}}}[/tex]
Step-by-step explanation:
Suppose the slope of the line is k.
So,
[tex] \large {\bold {k = \frac{7 - ( - 1)}{1 - (3)} = \frac{7 + 1}{1 + 3} = \frac{8}{4} = 2 }}\\ [/tex]
So the line:
[tex] \large \bold{ \frac{y - 7}{x - 1} = k = 2 } \\ [/tex]
[tex] \: [/tex]
So,
[tex] \large \bold{y - 7 = 2(x - 1)}[/tex]
[tex]\large \bold{y - 7 = 2x - 2}[/tex]
[tex]\large \bold{y = 2x - 2 + 7}[/tex]
[tex]\large \bold{y = 2x + 5}[/tex]
[tex]{\rule{200pt}{4pt}}[/tex]
[tex] \large \bold{-N} \frak{unx-}[/tex]
Which angle is complementary to ∠EAD?
Answer: C
Step-by-step explanation:
Complementary angles have measures that add to 180 degrees, so since angle EAD measures 20 degrees, we need an angle that measures 70 degrees. This is angle DAB.
The area of a circle is 64л сm². What is the circumference, in centimeters? Express your answer in terms of pi
Simplify 1- cos^2 Θ / cos^2 Θ
Answers
sin2 θ
cos2 θ
tan2 θ
1
[tex]\\ \rm\Rrightarrow \dfrac{1-cos^2\theta}{cos^2\theta}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{sin^2\theta}{cos^2\theta}[/tex]
[tex]\\ \rm\Rrightarrow tan^2\theta[/tex]
Option C
Answer:
Trigonometric identities
[tex]\large \begin{aligned}\cos^2 \theta + \sin^2 \theta & = 1\\\implies \quad \quad \sin^2 \theta & = 1 - \cos^2 \theta\\\\\tan \theta=\dfrac{\sin \theta}{\cos \theta} \end{aligned}[/tex]
Therefore, using the identities, the given expression can be simplified as follows:
[tex]\large\begin{aligned}\implies \dfrac{1- \cos^2 \theta}{\cos^2 \theta} & = \dfrac{\sin^2 \theta}{\cos^2 \theta}\\\\& = \tan^2 \theta\end{aligned}[/tex]
Eleni is helping to organize a school trip. She needs to find the best deal out of the three bus companies. 260 students are going on the trip. First Student charges $350 per bus. They will need 7 buses. Stock Transportation charges $500 to cover the cost for the drivers plus $6 per student. Switzer-Carty charges $7 per student. Write an algebraic equation for each company and solve it to find out which is the least expensive.
The least expensive is the Stock Transportation charges $500 to cover the cost for the drivers plus $6 per student.
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically.
For example, if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4.
If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
Let the number of students the bus carries be x.
First Student charges $350 per bus. They will need 7 buses.
Therefore, the cost of the school hiring the bus is:
C = 7*350
C = 2450
The charge of per student
= 2450 / 260
= $ 9.4
Stock Transportation charges $500 to cover the cost for the drivers plus $6 per student.
C = 500 + 6*260
C = 500 + 1560
C = 2060
Switzer-Carty costs $7 for every student that they bus.
Therefore, the cost of the school hiring the bus is:
C = 7 * x
C = 7x
To bus 260 students, then, the cost will be:
C = 7 * 260
C = $1820
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Graph the inequality.
2x+5y> -15
Answer: See attached
Step-by-step explanation:
[] Since the inequality uses greater than (>) and not greater than or equal to (≥), the line will be dashed.
[] The inequality is greater than (>) so we will shade above the line as values "above" are greater.
Answer:
here is what i got
Step-by-step explanation:
The answer please!!!!!!!!
How many cubes with side lengths of
1
3
cm
3
1
cmstart fraction, 1, divided by, 3, end fraction, start text, space, c, m, end text does it take to fill the prism?
4
3
cm
3
4
cm
5
3
cm
3
5
cm
2
cm
2 cm
cubes
The number of 1/3 cm-cubes that would fill the rectangular prism is approximately 20 cubes.
What is the Volume of a Cube?Volume = a³, where a is the side length.
What is the Volume of a Rectangular Prism?Volume = lwh
Given the following:
a = ⅓ cml = 4/2 cm = 1/2 cmw = 2/2 cm = 1 cmh = 3/2 cmVolume of the rectangular prism = (1/2)(1)(3/2)
Volume of the rectangular prism = (1/2)(1)(3/2) = 0.75 cm³
Volume of the cube = (⅓)³ = 0.037 cm³
Number of cubes that would fill the prism = 0.75/0.037 ≈ 20 cubes.
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