Answer:
The table representing Relationship B is option 2
[tex]\begin{array}{ccc}Time \ (min)&&Temperature \ (^{\circ}C)\\2&&60.6\\3&&64.3\\7&&79.1\\9&&86.5\end{array}[/tex]
Step-by-step explanation:
The relationship shown by Relationship A and Relationship B = The change in the temperature for a pot of water om the stove
The rate of Relationship B > The rate of Relationship A
The table for relationship A is given as follows';
[tex]\begin{array}{ccc}Time \ (min)&&Temperature \ (^{\circ}C)\\2&&61.3\\3&&64.9\\7&&79.3\\9&&86.5\end{array}[/tex]
The time in minutes are the x-values, while the temperature in °C Ere the y-values
The rate for Relationship A, [tex]m_A[/tex] = (86.5 - 61.3)/(9 - 2) = 3.6
Therefore, the rate for Relationship B > 3.6
By checking each option, we note that in option 2, the maximum value for the y-value is the same as for Relationship A, which is 86.5°C, while the minimum value for the time, t, is lesser than that for Relationship A, (60.6 minutes < 61.3 minutes) therefore, we get;
The rate for option 2 = (86.5 - 60.6)/(9 - 2) = 3.7
Therefore, the table that represents the Relationship B is the table for option 2
[tex]\begin{array}{ccc}Time \ (min)&&Temperature \ (^{\circ}C)\\2&&60.6\\3&&64.3\\7&&79.1\\9&&86.5\end{array}[/tex]
What is the least common multiple of 50, 41, and 30?
Hello!
[ 50; 41; 30 ] = ?
50 | 2 × 5
5 | 5 => 50 = 2 × 5²
1 |
41 | 41 => 41 = 41
1 |
30 | 2 × 5
3 | 3 => 30 = 2 × 3 × 5
1 |
[ 50; 41; 30 ] = 2 × 3 × 5² × 41 = 2 × 3 × 25 × 41 = 6 × 25 × 41 = 150 × 41 = 6150
Good luck! :)
h(x) = -4x – 7, when x = 3:
[tex]\displaystyle\bf h(x)=-4x-7\Longrightarrow h(3)=-4\cdot3-7=-19\\\\Answer:\boxed{ h(3)=-19}[/tex]
Answer:
-19
Step-by-step explanation:
heyya, so if x = 3 you just replace the x in the calculation to 3:
-4 *3 -7
= -12 -7
= -19
If (2x - 3) is a factor of mx^2 - 11x - 6, find the other factor.
Answer:
(2x - 3) ^2 - 11x - 6
Step-by-step explanation:
A line has slope 3 and y–intercept 4.
Which answer is the equation of the line?
Answer:
y= 3x+4
Step-by-step explanation:
Slope-intercept form of an equation is
y=mx+b
m=slope
b=y-intercept
Just plug the values in and you get y=3x+4
Examine the equation.
-2(-x + 9) = 2(x - 9)
2x - 18 = 2x - 18
This equation has:
1. One solution
2. Infinity many solutions
3. No solution
Sal is trying to determine which cell phone and service plan to buy for his mother. The first phone costs $100 and $55 per month for unlimited usage. The second phone costs $150 and $51 per month for unlimited usage. How many months will it take for the second phone to be less expensive than the first phone?
The inequality that will determine the number of months, x, that are required for the second phone to be less expensive is
.
The solution to the inequality is
.
Sal’s mother would have to keep the second cell phone plan for at least
months in order for it to be less expensive.
Answer:
It will take 13 months for the second phone to be less expensive than the first phone.
Step-by-step explanation:
Since Sal is trying to determine which cell phone and service plan to buy for his mother, and the first phone costs $ 100 and $ 55 per month for unlimited usage, while the second phone costs $ 150 and $ 51 per month for unlimited usage, to determine how many months will it take for the second phone to be less expensive than the first phone, the following calculation must be performed:
100 + (55 x 10) = 100 + 550 = 650
150 + (51 x 10) = 150 + 510 = 660
100 + (55 x 12) = 100 + 660 = 760
150 + (51 x 12) = 150 + 612 = 762
100 + (55 x 13) = 100 + 715 = 815
100 + (51 x 13) = 150 + 663 = 813
Therefore, it will take 13 months for the second phone to be less expensive than the first phone.
Answer:
1) 100 + 55x > 150 + 51x
2) x > 12.5
3) 13
Step-by-step explanation:
Got it right on Edge :D
Analyzing Speed Yohan Blake ran the 100-meter race in the 2012 Olympics in 9.75 seconds. Compare the speeds if he ran the 200-meter race in 19.5 seconds. round to the nearest hundredth.
Answer:
The two speeds are equal
Step-by-step explanation:
The speed is the distance divided by the time
100 meters / 9.75 seconds = 10.25641026 meters per second
Rounded to the nearest hundredth 10.26 meters per second
200 meters / 19.5 seconds = 10.25641026 meters per second
Rounded to the nearest hundredth 10.26 meters per second
The two speeds are equal
[tex]\sf{\bold{\blue{\underline{\underline{Given}}}}}[/tex]
⠀Analyzing Speed Yohan Blake ran the 100-meter race in the 2012 Olympics in 9.75 seconds.⠀⠀⠀he ran the 200-meter race in 19.5 seconds. round to the nearest hundredth.[tex]\sf{\bold{\red{\underline{\underline{To\:Find}}}}}[/tex]
Compare the speeds⠀⠀⠀⠀[tex]\sf{\bold{\purple{\underline{\underline{Solution}}}}}[/tex]
⠀
we know that,
[tex]\boxed{\sf{speed=\dfrac{distance}{time}} }[/tex]
In the 100-meter race in the 2012 Olympics he takes 9.75 sec
speed=100/9.75speed =10.2564...speed=10.26BUTTT,
he ran the 200-meter race in 19.5 seconds.
speed=200/19.5speed=10.2564..speed=10.26According to the question,
we have to compare the speed
100-meter race in the 2012 Olympics he takes 9.75 sec=200-meter race in 19.5 seconds.10.26=10.26the speeds are equal⠀⠀⠀
[tex]\sf{\bold{\green{\underline{\underline{Answer}}}}}[/tex]
The two speeds are equal of Yohan Blake.
Calculate the sum of the integers from 52 to 108
Answer:
4560
Step-by-step explanation:
The price of a pair of trainers was £85 The price was reduced to £47 Work out the percentage change in price.
Answer:
The trainers are 44.71% off the original price i think.
Step-by-step explanation:
y = RootIndex 3 StartRoot x EndRoot. y = negative (0.4) RootIndex 3 StartRoot x minus 2 EndRoot
Which of the following describes the graph of the transformed function compared with the parent function? Select all that apply.
Answer:
- Reflected over the x-axis
- Compressed by a factor of 0.4.
- Translated 2 units left
Step-by-step explanation:
Given
[tex]y = \sqrt[3]{x}[/tex]
[tex]y' = -(0.4)\sqrt[3]{x-2}[/tex]
Required
The transformation from y to y'
First, y is reflected over the x-axis.
The transformation rule is:
[tex](x,y) \to (x,-y)[/tex]
So, we have:
[tex]y = \sqrt[3]{x}[/tex] becomes
[tex]y' = -\sqrt[3]{x}[/tex]
Next, it was compressed by a scale factor of 0.4
The rule is:
[tex]y' = k * y[/tex]
Where k is the scale factor (i.e. k = 0.4)
So, we have:
[tex]y' = 0.4 * -\sqrt[3]{x}[/tex]
[tex]y' = -(0.4)\sqrt[3]{x}[/tex]
Lastly, the function is translated 2 units left;
The rule is:
[tex](x,y) \to (x-2,y)[/tex]
So, we have:
[tex]y' = -(0.4)\sqrt[3]{x - 2}[/tex]
Answers:
-reflected over the x-axis
-translated 2 units right
-compressed by a factor of 0.4
Need help on this question asap pleasee :)
Answer:
1/4
Step-by-step explanation:
Select the correct equations.
Identify all of the linear functions.
2x + 5y = 13
-Xº = 3y + 10
3(2x + y) = 14
y = 13 - 2x
2 = y + x
y = x+7
Can someone please help me! Big ideas number 22 8.4
Answer:
26
Step-by-step explanation:
the whole area is the sum of the area of the rectangle in the middle and the 2 triangles on either side of the rectangle.
sBC = distance between (0,3) and (4,-1)
and that is the Pythagoras calculation with the coordinate differences
sBC² = (4-0)² + (-1 - 3)² = 16 + 16 = 32
sBC = sqrt(32) = sFE
to get the area of the rectangle we need also FB (or CE).
sFB² = (0 - -2)² + (3-1)² = 4 + 4 = 8
sFB = sqrt(8) = sCE
area of rectangle is
sBC×sFB = sqrt(32)×sqrt(8) = sqrt(32×8) = sqrt(256) = 16
the area of a right-angled triangle is
a×b/2
we have sFB and need sAF
sAF² = (-5 - -2)² + (4-1)² = 9 + 9 = 18
sAF = sqrt(18)
the area of the left triangle is
sFB×sAF/2 = sqrt(8)×sqrt(18)/2 = sqrt(8×18)/2 = sqrt(144)/2 = 12/2 = 6
for the right triangle we have sCE and need sED.
sED² = (2 - 4)² + (-3 - -5)² = 4 + 4 = 8
sED = sqrt(8)
the area of the right triangle is
sCE×sED/2 = sqrt(8)×sqrt(8)/2 = 8/2 = 4
so in total we have for the area
16 + 6 + 4 = 26
What is 1,485÷ 0.09 answer please let me y
Answer:
16,500
Step-by-step explanation:
Just use a calculator-simple
What do you mean "let me y"?
Answer:
the answer is 16500 or sixteen thousand five hundred
Step-by-step explanation:
:)
PLEASE HELP! PLEASE SHOW WORK
Use the following expression to answer this three part question:
f(x) = 2x2 + 4x − 6
Part A: What are the x-intercepts of the graph of f(x)? Show your work.
Part B: Is the vertex of the graph of f(x) going to be a maximum or minimum? What are the coordinates of the vertex? Justify your answers and show your work.
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph.
Answer:
Step-by-step explanation:
The graph of a quadratic function is a U-shaped curve called a parabola. One important feature of the graph is that it has an extreme point, called the vertex. If the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function.
During a month, the average temperature in day time of a placewas 430C. The average temperature during night was recorded to be -30C. Find the difference between the average day temperature and the average night temperature.
Answer:
Difference between average day temperature and average night temperature = 70°
Step-by-step explanation:
Given;
Average day temperature = 43° C
Average night temperature = -30° C
Find:
Difference between average day temperature and average night temperature
Computation:
Difference between average day temperature and average night temperature = Average day temperature - Average night temperature
Difference between average day temperature and average night temperature = 43 - (-30)
Difference between average day temperature and average night temperature = 70°
A claim is reviewed for MOHS surgery on the foot that was performed in 1 stage with 6 tissue blocks. The claim was reported with 17311, 17312-51, 17312-51. Is this correct
Answer:
17311, 17315
Step-by-step explanation:
Explanation,
Mohs surgery, also known as chemosurgery, created by a general surgeon, Dr. Frederic E. Mohs, is performed to remove complex or ill-defined cutaneous malignancy.List Of CPT Codes For Mohs Surgery
CPT Code 17311 and CPT Code 17313 are the base codes for the range of this surgery. CPT Code 17312, CPT Code 17314, and CPT Code 17315 are the add-on codes for this range.
Description Of CPT Code 17311
Moh’s micrographic technique, including removal of all gross tumor, surgical excision to tissue specimens, mapping, color coding of specimens, microscopic examination of specimens by the surgeon, and histopathologic preparation including routine stain(s) (eg. Hematoxylin and eosin, toluidine blue), head, neck, hands, feet genitalia, or any location with surgery directly involving muscle, cartilage, bone, tendon, major nerves, or vessels; first stage, up to 5 tissue blocksDescription Of CPT Code 17315 (addon)
CPT Code 17315 may be used to report each block after the first 5 blocks for any single-stage.
Moh’s micrographic technique, including removal of all gross tumor, surgical excision of tissue specimens, mapping color coding of specimens, microscopic examination of specimens by the surgeon, and histopathologic preparation including routine stains(s) (eg. Hematoxylin and eosin, toluidine blue), each additional block after the first 5 tissue blocks, any stage (List separately in addition to code for primary procedure)Extras
Description Of CPT Code 17312 (addon)
Each additional stage after the first stage, up to 5 tissue blocks (List separately in addition to code for primary procedure)
Description of CPT Code 17313
Moh’s micrographic technique, including removal of all gross tumor, surgical excision of tissue specimens, mapping, color coding of specimens, microscopic examination of specimens by the surgeon, and histopathologic preparation including routine stains(s) (eg. Hematoxylin and eosin, toluidine blue), of the trunk, arms, or legs; first stage, up to 5 tissue blocks
Description Of CPT Code 17314 (addon)
Each additional stage after the first stage, up to 5 tissue blocks (List separately in addition to code for primary procedure).
Solve for x. Round to the nearest tenth, if necessary.
Hi there!
1. Trigonometric Ratio
For this question, we will be knowing legs or sides of the right triangle and its ratio. Trigonometric Ratio or Trigonometry is very useful when it comes to solve for legs or sides. Because it has something to do with angles.Currently, there are 6 Trigonometric Ratios. 2 ratios are the main topic which are sine and cosine. Both can be shortened as sin, cos. While the other 4 ratios are defined by these two ratios.
2. Adjacent, Hypotenuse, Opposite
There are 3 sides in a right triangle. Opposite is a side or length of a triangle that is opposite of a specific angle. For example in the picture. CD is opposite of 65 degrees. ED is opposite of angle C.Adjacent is a leg or we can call it a base of right triangle.Hypotenuse is the longest side of right triangle according to Pythagorean Theorem. It is also the opposite of right angle.3. Using Cosine Ratio
Cosine Ratio is defined as adjacent to hypotenuse or adjacent/hypotenuse. Since we focus on the 65 degree. We can conclude that the adjacent side is x and the hypotenuse side is 7.Cosine Ratio is:
[tex] \large \boxed{ \tt{ cos 65 \degree= \frac{x}{7} }}[/tex]
For this part, use the calculator to find the value of cos65 degrees. When you put cos65 degree in a calculator, you should get 0.42261826... round to the nearest tenth as we get 0.4
Hence, the new equation is:
[tex] \large{0.4 = \frac{x}{7} }[/tex]
4. Solve The Equation
The best way to deal with decimal number when solving the equation is to multiply the whole equation by 10. Because we want to turn 0.4 to 4 which will be easier in solving the equation.[tex] \large{0.4 \times 10 = \frac{x}{7} \times 10} \\ \large{4 = \frac{10x}{7} }[/tex]
Multiply 7 both sides to get rid of the denominator.
[tex] \large{4 \times 7 = \frac{10x}{7} \times 7} \\ \large{28 = 10x}[/tex]
Divide both sides by 10 so we can finally isolate x.
[tex] \large{ \frac{28}{10} = \frac{10x}{10} } \\ \large{ \frac{28}{10} = x}[/tex]
Since the denominator is 10. We can convert to the decimal as 2.8
[tex] \large \boxed{ \tt{2.8 = x}}[/tex]
Because you want the nearest tenth then 2.8 is your answer!
5. Final Answer
x = 2.8Find the 66th term of the arithmetic sequence 25, 10, -5, ...
Answer:
1000
Step-by-step explanation:
Given data
we have the sequence
25, 10, -5, ...
we want to find the 66th term, let us apply the formula
an = a + (n – 1)d
a= 25
n= 66
d= 15
substitute
a66= 25+(66-1)15
a66= 25+(65)*15
a66= 25+975
a66= 1000
Hence the 66th term is 1000
simplify 2a+5b/4+3a+2b/8
Answer:
Step-by-step explanation:
Combine like terms
[tex]2a + \frac{5b}{4}+3a + \frac{2b}{8}=2a + 3a +\frac{5b}{4}+\frac{2b}{8}\\\\ = 2a + 3a + \frac{5b}{4}+\frac{b}{4}\\\\= 5a + \frac{5b+b}{4}\\\\= 5a +\frac{6b}{4}\\\\= 5a + \frac{3b}{2}[/tex]
Answer:
[tex]2a+5\frac{b}{4}+3a+2\frac{b}{8}[/tex]
First multiply by 8
[tex]2\cdot8a+5\cdot8\cdot\frac{b}{4}+3\cdot8\cdot a+2\frac{b}{8}\cdot8[/tex]
We multiple and divide where we can
[tex]16a+10b+24a+2b[/tex]
And now it's simple
30a+12b
what is the value of b in this equation?
A. -20
B. -6
C. 6
D. 20
Answer:
Step-by-step explanation:
a- 12
b- 2
c- 11
and the next part is
x- 6
y- 18
Answer:
B
Step-by-step explanation:
Using the rules of exponents
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]
[tex]a^{-m}[/tex] = [tex]\frac{1}{m}[/tex]
Then
[tex](y^b)^{4}[/tex] = [tex]\frac{1}{y^{24} }[/tex]
[tex]y^{4b}[/tex] = [tex]y^{-24}[/tex]
Equate the exponents
4b = - 24 ( divide both sides by 4 )
b = - 6 → C
17.27. How many Social Security numbers (see Exercise 8.12) have their nine digits in strictly increasing order
Answer:
"10 possibilities" is the appropriate response.
Step-by-step explanation:
The numbers will be:
⇒ [tex]123 \ 456 \ 789[/tex]
Now anyway we commence with right and afterwards remove nine from eight and seeing as maintain the sequence growing.
then,
[tex]012345678[/tex][tex]012345679[/tex][tex]012345689[/tex][tex]012345789[/tex][tex]012346789[/tex][tex]012356789[/tex][tex]012456789[/tex][tex]013456789[/tex][tex]023456789[/tex]Thus, the above is the correct answer.
____ more than 3455 is two hundred seventy -eight thousand five hundred eighty three
Answer:
275 128
Step-by-step explanation:
You have to subtract 3455 from two hundred seventy eight thousand five hundred eighty three(278 583) so you will get the answer 275 128.
278 583-3455=275 128
I'm sure with this answer
to make sure you can add 3455 to 275 128 and you will get the answer as 278 583
Jack plants a vegetable garden. The garden is the shape of a rectangle. He wants to put a fencing around the entire garden
Step-by-step explanation:
you need to find the lenght and breadth of the rectangle
Which of the following is a radical equation?
Answer:
[tex]\sqrt{x} +3 =13[/tex]
Step-by-step explanation:
A radical equation is any equation in which a variable is under a root. This is the only equation in which x is under the square root, so this is the radical equation.
Será - 12 esta noche. El meteorólogo predice que mañana al mediodía hará 25 ° más de temperatura. ¿Cuál será la temperatura mañana al mediodía?
Respuesta:
13 °
Explicación paso a paso:
La temperatura de esta noche = - 12
La temperatura prevista para mañana = 25 ° más cálida que la temperatura de esta noche
La temperatura prevista para mañana será;
La temperatura de esta noche + 25 °
Temperatura prevista para mañana = (-12 ° + 25 °)
Temperatura prevista para mañana = 13 °
URGENT PLS ANSWER QUICKLY
Answer:
5 is 14cm . 14 is 2pie r. 6 is 120
Answer:
Question 5 = 14
Question 6 = 120
I hope this helped!
The polygons are similar, but not necessarily drawn to scale. Find the value of x. PLEASE HELPPPP
Answer:
x = 27.5.
Step-by-step explanation:
There are given numbers on each side. If the figures are similar, then they have a set ratio for each value.
So, 55:8 and x:4. If you want to, you can flip it, so that it is 8:55 and 4:x.
With that in mind, it is easy to see what the ratio is. Because 4 is half of 8, x is half of 55. 55 divided by 2 is 27.5.
Therefore, x = 27.5.
What is the value of cose in the diagram below?
Answer:
[tex]cos \theta = 0.6[/tex]
Step-by-step explanation:
Draw a line from point ( 0.6, 0.8 ) to the X - axis, forming a right triangle with hypotenuse = r = 1 , adjacent = 0.6, opposite = 0.8
[tex]cos \theta = \frac{adjacent}{hypotenuse} , \ where \ adjacent = 0.6 ,\ hypotenuse \ = r= 1[/tex]
[tex]cos \theta = \frac{0.6}{1}\\\\cos \theta = 0.6\\\\\theta = cos^{-1} \ 0.6\\\\\theta = 53.13^\circ[/tex]
The value of cos θ is,
⇒ cos θ = 0.6
What is mean by Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Now, We can Draw a line from point ( 0.6, 0.8 ) to the X - axis, forming a right triangle with hypotenuse = r = 1 , adjacent = 0.6, opposite = 0.8
Hence, We can formulate;
⇒ cos θ = 0.6 / 1
⇒ θ = cos ⁻¹ 0.6
⇒ θ = 53.13°
Thus, The value of cos θ is,
⇒ cos θ = 0.6
Learn more about the circle visit:
https://brainly.com/question/24810873
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6. The coordinates of the vertices of triangle CDE are C(3, - 2), D(5, 2) , and E(7, 0) The figure is rotated 90about the origin . What are the vertices of the resulting image, Figure C'D'E?
Answer:
Step-by-step explanation:
if it is rotated in clockwise direction then C'(-2,-3),D'(2,-5),E'(0,-7)
if rotated in anticlockwise direction C'(2,3),D'(-2,5),E'(0,7)
