Using the line of best fit, it is found that the projected time for a man who is 166 cm tall is of 7.966 minutes.
What does the line of best fit gives?It gives the project time in minutes to run the 3000 meters for a men of a height of x centimeters, according to the following function:
y = -0.081x + 21.412.
Hence, for a men of 166 centimeters, x = 166 and the projected time in minutes is given as follows.
y = -0.081(166) + 21.412 = 7.966.
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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
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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HELP ASAP
Yuri computes the mean and standard deviation for the sample data set 12, 14, 9, and 21. He finds the mean is 14. His steps for finding the standard deviation are below.
s = StartRoot StartFraction (12 minus 14) squared + (14 minus 14) squared + (9 minus 14) squared + (21 minus 14) squared Over 4 EndFraction EndRoot. = StartRoot StartFraction negative 2 squared + 0 squared + negative 5 squared + 7 squared Over 4 EndFraction EndRoot. = StartRoot StartFraction 4 + 0 + 25 + 49 Over 4 EndFraction EndRoot. = StartRoot StartFraction 78 Over 4 EndFraction EndRoot. = StartRoot 19.5 EndRoot.
What is the first error he made in computing the standard deviation?
SOMEONE HELP ASAP
The mistake he made is that he Yuri divided by n instead of n -1.
What mistake did he make?Standard deviation is used to determine how the values in a group differs from the mean of the values in the group.
In order to determine the standard deviation, take the following steps:
• Determine the mean of the observation: 14
Determine the difference between each value and the mean and then square the result: (12 - 14)² + (14 - 14)² + (9 - 14)² + (21 - 14)² = 78
Determine the mean of the sum of the squared differences and then find the square root of the mean: √78/(n - 1) = 5.1
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Answer:
Yuri divided by n instead of n -1.
Step-by-step explanation:
The answer above is correct.
It takes Paula 9 minutes to run 1 mile. At this rate, how long will it take Paula to run 8 miles?
Answer:
72 mins or 1 hour 12 mins
Step-by-step explanation:
1 miles = 9 mins
8 miles = 9×8 mins
8 miles = 72 mins = 1 hour 12 mins
Hope this helped and brainliest please
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!
(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]
Can anyone answer this please?? will mark brainliest!!
Answer:
hope you can understand
In the diagram, Ray K QJKM is a straight angle.
The true statements about the diagram given are:
3. m∠JKL = 45°
4. m∠MKQ + m∠PKQ = m∠PKM
5. PK is an angle bisector
What is an Angle Bisector?An angle bisector is a segment that divides a given angle into two parts that are congruent to each other.
The missing part of the question is in the image attached below.
In the image given, PK bisects the straight angle JKM since angles JKP and MKP both equal 90 degrees (right angle).
Therefore, m∠JKL = m∠PKL = 45°
m∠MKQ + m∠PKQ = m∠PKM based on the angle addition theorem.
Therefore, the true statements are:
3. m∠JKL = 45°
4. m∠MKQ + m∠PKQ = m∠PKM
5. PK is an angle bisector
(see image attached below)
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The answer please!!!!!!!!
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
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]
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
1. University Bank pays 5% interest compounded quarterly on regular savings accounts and Rosemont
Savings Bank pays 5.5% compounded semiannually. Vasily and Oxana Cherchenko had $4,000 to invest
for 4 years. Based on the interest to be earned, which bank offers the better investment?
[tex]~~~~~~ \stackrel{\textit{\LARGE University Bank}}{\textit{Compound Interest Earned Amount}} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$4000\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &4 \end{cases}[/tex]
[tex]A=4000\left(1+\frac{0.05}{4}\right)^{4\cdot 4}\implies A=4000(1.0125)^{16}\implies \boxed{A\approx 4879.56} \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~ \stackrel{\textit{\LARGE Rosemont Savings Bank}}{\textit{Compound Interest Earned Amount}}[/tex]
[tex]A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$4000\\ r=rate\to 5.5\%\to \frac{5.5}{100}\dotfill &0.055\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{semiannually, thus two} \end{array}\dotfill &2\\ t=years\dotfill &4 \end{cases} \\\\\\ A=4000\left(1+\frac{0.055}{2}\right)^{2\cdot 4}\implies A=4000(1.0275)^8\implies \boxed{A\approx 4969.52}[/tex]
well, "better" meaning more amount per same 4000, clearly the latter will be better.
Answer:
Rosemont Savings Bank; interest is $969.52
Step-by-step explanation:
because i said so <3
The difference between a number and its square is 42 find the number
Answer:
x = 7 or -6
Step-by-step explanation:
Let a number be x.
Its square = x²
x - x² = 42
-x² + x - 42 = 0
-(x² - x + 42) = 0
x² - x + 42 = 0
(x - 7)(x + 6) = 0
x - 7 = 0 or x + 6 = 0
x = 7 or x = -6
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)
The area of a circle is 64л сm². What is the circumference, in centimeters? Express your answer in terms of pi
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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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]
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
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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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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A (2,2)
31
B
(1,-2)
(4,-4) C
1. Reflect across y-axis
2. <1,3>
Complete the transformations
and then enter the final
coordinates of the figure.
A" ([?],
B" (
C" (
Hint: The x-value of A is 2. To
find the x-value of A", first invert
the number's sign (step 1), and
then add 1 (step 2).
Enter
Answer:
This is put together very weird, can you put the answers more clearly?
Step-by-step explanation:
?
The final coordinates after the transformations will be:
A" is (-1, 5),
B" is (0, 1),
C" is (-3, -1).
What's the transformation about?Reflect across the y-axis: For any point (x, y), the reflection across the y-axis is (-x, y).
Translation by vector <1, 3>: For any point (x, y), the new coordinates after translation are (x + 1, y + 3).
Let's apply these transformations step by step:
A (2, 2):
Reflect across y-axis: (-2, 2).
Translate by <1, 3>: (-2 + 1, 2 + 3) = (-1, 5).
So, A" is (-1, 5).
B (1, -2):
Reflect across y-axis: (-1, -2).
Translate by <1, 3>: (-1 + 1, -2 + 3) = (0, 1).
So, B" is (0, 1).
C (4, -4):
Reflect across y-axis: (-4, -4).
Translate by <1, 3>: (-4 + 1, -4 + 3) = (-3, -1).
So, C" is (-3, -1).
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Drag the tiles to the correct boxes to complete the pairs match each pair of rational numbers with their sum -2/a^b+2/ab^2
The pair of rational numbers with their sum are matched.
What is rational number?The numbers in the form of p/q is called the rational number.
1. -2/a²b +2/ab² = ( -2ab² +2a²b) / a³b³
= 2(a-b)/a²b²
2. 1/2ab -1/4a²b² =( 4a²b² -2ab) / 8a³b³
= 2ab -1 /4a²b²
3. 2/a²b³ -2/ab = (2ab -2a²b³) / a³b⁴
= 2( 1- ab²) /a²b³
4. 1/ab³ -1/a²b = a²b - ab³ / a³b⁴
= (a - b²) / a²b³
Thus, all the rational numbers are matched with their sum.
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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]
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:
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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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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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.
8/21 fraction to decimal
Answer:
Solution and how to convert 8 / 21 into a percentage
0.38 times 100 = 38.1. That's all there is to it!
Step-by-step explanation:
hope this helps
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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