ANSWER
I and II only
EXPLANATION
We want to identify expressions that are equivalent to 6/7.
The fraction 6/7 simply means 6 divided by 7.
Therefore, the correct options must also mean the same thing.
Therefore, the correct options are I and II only.
plot and label point Z
Answer: Sorry, I need more info.
Step-by-step explanation:
Can you please post the graph and the value of point Z? It's impossible to answer without this information. I'm sorry I couldn't help very well.
The results of the test will be sent to the doctor in 72 hours
how many days will the results be sent to the doctor?
Answer:
The answer is D) 3 days
Step-by-step explanation:
24×3=72
Here are the monthly charges for Jo's mobile phone
Monthly charge 616
150 free minutes, then 18p per minute
150 free texte, then 18p per text
During one month, Jo makes 170 minutes of calls and sends 182 texte,
Work out the total charge for the month
A hot bowl of soup cools according to Newton’s law of cooling. Its temperature (in degrees Fahrenheit) at time t is given by T(t) = 66 + 144e-0.04t, where t is given in minutes.What is the temperature of the soup after 10 minutes? Round your answer to the nearest tenth of a degree.
In order to calculate the temperature after 10 minutes, let's use the value of t = 10 in the function T(t) and calculate the function value:
\(\begin{gathered} T(t)=66+144e^{-0.04t}\\ \\ T(10)=66+144e^{-0.04\cdot10}\\ \\ T(10)=66+144e^{-0.4}\\ \\ T(10)=66+96.53\\ \\ T(10)=162.53 \end{gathered}\)Rounding to the nearest tenth, the temperature is 162.5 °F.
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
90 Pounds =
40,823.313 Grams
Step-by-step explanation:
A bag contains 100 balls numbered 1 to 100. One ball is drawn from the bag. What is the probability that the number on the ball selected will be odd or greater than 80?
Answer:
80/100
Step-by-step explanation:
i know that .....
After drawing a square on the board, Mr. Hinkle asked his class to identify the shape. Timothy stated that Mr. Hinkle had drawn a rhombus. Which of the following statements is true?
To estimate 179% of 41 by rounding, use the expression
.
Using the distributive property, the expression is equivalent to
.
179% of 41 is about
The estimate of 179% of 41 by rounding is about 73.19.
To find this estimate, first convert the percentage to a decimal by dividing it by 100: 179/100 = 1.79. Then, multiply this decimal by 41: 1.79 * 41 = 73.39.
Since we are rounding, we round this value to the nearest whole number, which is 73. Therefore, the direct answer is 179% of 41 is about 73.When estimating by rounding, we look at the decimal places. In this case, the hundredth place is 3. Since 3 is less than 5, we round down. Hence, the estimate is 73.19. It is important to note that rounding introduces some degree of error, as the actual value is 73.39. However, for most practical purposes, an estimate provides a close approximation that is quick and easy to calculate.For more similar questions on whole number
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4. La Sra. Del Toro proporciona tutorías después de la escuela a 25 estudiantes. 17 son niños. ¿Cuántos estudiantes son niñas?
Answer:
8 estudiantes son niñas
Step-by-step explanation:
25 students total
17 are boys
25-17=8
8 are girls
Use the image to answer the question.
Which line of reflection would make rectangle A'B'C'D' the image of rectangle ABCD?
2
B
0
D'
B3
OA. line 1
OB. line 2
OC. line 3
1
✓
OD. line 4
The line of reflection that would make A'B'C'D' the image of ABCD is line 3
How to determine the line of reflection that would make A'B'C'D' the image of ABCD?From the question, we have the following parameters that can be used in our computation:
Rectangles ABCD and A'B'C'D'
Also, we can see that
Both rectangles are in opposite quadrants
This means that the line of reflection must be slant line in the adjacent quadrants
In this case, the line is line 3
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While watching a football game, Jordan decided to list yardage gained as positive integers and yardage lost as negative integers. After these plays, Jordan recorded 14, -7, and -9. What was the overall gain or loss?
Answer:
There is a loss of 2 yards.
Step-by-step explanation:
To find the overall gain or loss, we add or subtract there values.
Initially, we have 0 yards.
Records 14, so 0 + 14 = 14, that is, for now a gain of 14
Then loses 7, so 14 - 7 = 7, for now a gain of 7.
Then, 7 - 9 = - 2, so in all, there is a loss of 2 yards.
i dont understand this
We can Add 7 black beads to make ratio 3 : 1.
Since we can only change the number of black beads, decide how many black beads you will add based on how many white beads there are.
There are three white beads in the picture.
Total beads we will have (b meaning black)b : 3
Ratio black : white beads 3 : 1
Use the common ratio, which is a number that both sides of the original ratio multiply by to get to the new ratio.
Find common ratio by dividing total by ratio white beads: 3/1 = 3
Multiply ratio black beads by common ratio. 3 X 3 = 9
We need 9 black beads in total.
Check answer
9 : 3
Both sides divisible by 3; reduce ratio
= 3 : 1
Which is Correct ratio
Hence, There will be a total of 9 black beads, but we already have 2 black beads:
(9 total) - (2 original) = (7 to add)
Therefore , we need to add 7 black beads.
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Prove that for integers m, n, p if m n and n p are both odd then m p must be an even integer.(Direct)
Answer and Step-by-step explanation:
Solution:
Given:
m, n, and p are integers
m + n and n + p are odd integers.
Then prove that m + p is even integer.
Proof:
Properties of odd and even integer:
If x is an odd integer, then exist an integer y such that x = 2y + 1.
If x is an even integer, then there exist an integer y such that x = 2y.
Let m + n and n + p be odd integers, then there exist integer y and z such that :
m + n = 2y + 1
and n + p = 2z + 1
let add the two odd integers:
m + n+ n + p = 2y + 1 + 2z + 1
m + 2n + p = 2y + 2z + 2
we are interested in m + p , so subtract 2n from both sides:
m + 2n – 2n + p = 2y + 2z+ 2 – 2n
m + p = 2y + 2z – 2n -2
by taking common 2 from right side:
m + p = 2 ( y + z – n + 1)
since y, z and n are integers, y + z – n is also an integer and thus m + p is an even integer.
Hence proved if m, n, and p are integers and m + n and n + p are odd integers. Then, m + p is even integer..
7 whole number 1 over 2 percent to it's lowest term
The fraction in its lowest terms for 7 1/2 percent is 3/40.
To express the mixed number 7 1/2 percent as a fraction in its lowest terms, we need to convert it to a fraction and simplify.
First, we convert the mixed number to an improper fraction:
7 1/2 percent = 7 1/2 / 100
To simplify this fraction, we find the least common multiple (LCM) of the denominator (2) and the percent denominator (100), which is 200.
Now, we can rewrite the fraction with the common denominator:
7 1/2 / 100 = (7 * 2 + 1) / 200 = 15/200
To simplify the fraction further, we can divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 15 and 200 is 5.
15/200 = (15 ÷ 5) / (200 ÷ 5) = 3/40
Therefore, the fraction in its lowest terms for 7 1/2 percent is 3/40.
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find the slope represented in the table below show all work
Answer:
no table
Step-by-step explanation:
73 ÷ 6 = ?
(help...)
Answer:
12.16 it's a continues answer tho
Answer:
73/6 = 12.16666
Round to the nearest whole number: 12
Which of the following correctly use absolute value to show distance between -80 and 15
Answer:
i dont know the choices but the answer is 65
Step-by-step explanation:
Stefanie biked a total of 4 miles making 2 trips to school. Which of the following ratios is equivalent to Stefanie's rate?
The ratio that is equivalent to Stefanie's rate is 1 : 2
Which of the following ratios is equivalent to Stefanie's rate?The given parameters are
Distance = 4 miles
Trips = 2
The ratio that is equivalent to Stefanie's rate is represented as
Rate = Trips/Distance
So, we have
Rate = 2 trips /4 miles
Evaluate
Rate = 1/2 trip per mile
Express as raton
Ratio = 1 : 2
Hence, the ratio that is equivalent to Stefanie's rate is 1 : 2
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The temperature outside at 8 PM was 20 degrees Fahrenheit. The temperature fell 32 degrees by 6 AM. What was the temperature outside at 6 AM?
Answer:
The temperature was -12 degrees Fahrenheit.
Answer:
The Temp was negative 12 degrees
Step-by-step explanation:
you take the first temperature and subtract the amount the temperature fell from then
20-32
and you get
-12
Please helppppp Math
Answer:
im pretty sure the top one
Step-by-step explanation:
AA.1 Solutions to inequalities P9N
Which of the following are solutions to the inequality below? Select all that apply.
3 ≤ 47
x = 24
Submit
x = 51
X = 6
X = 99
Answer: 3 ≤ 47
Step-by-step explanation:
The inequality given is 3 ≤ 47.
To determine the solutions to this inequality, we need to find the values of x that satisfy the inequality.
Looking at the options provided:
x = 24: This is not a solution because 24 is less than 47.
x = 51: This is a solution because 51 is greater than or equal to 47.
x = 6: This is not a solution because 6 is less than 47.
x = 99: This is a solution because 99 is greater than or equal to 47.
Therefore, the solutions to the inequality 3 ≤ 47 are x = 51 and x = 99.
What the meaning of "f is order-preserving if x < y implies f(x) < f(y)"?
An order-preserving function is a function that preserves the order of its inputs. In other words, if x is less than y, then f(x) will be less than f(y).
The statement "f is order-preserving if x < y implies f(x) < f(y)" means that if x is less than y, then f(x) must be less than f(y). This is a necessary condition for a function to be order-preserving. However, it is not a sufficient condition. For example, the function f(x) = x^2 is not order-preserving, because 2 < 3, but f(2) = 4 > f(3) = 9.
In summary, order-preserving functions are useful in situations where we need to preserve the order of a set of data.
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What slope of the points (9,7) and (3,3)
Answer:
6/4
Step-by-step explanation:
Answer:
slope
=
−
21
16
Explanation:
to calculate the slope m use the
gradient formula
∙
x
m
=
y
2
−
y
1
x
2
−
x
1
let
(
x
1
,
y
1
)
=
(
−
7
,
11
)
and
(
x
2
,
y
2
)
=
(
9
,
−
10
)
⇒
m
=
−
10
−
11
9
−
(
−
7
)
=
−
21
16
=
−
21
16
Step-by-step explanation:
A container with an open top is to have 10 m3 capacity and be
made of thin sheet metal. Calculate the dimensions of the box if it
is to use the minimum possible amount of metal.
The dimensions of the box if it is to use the minimum possible amount of metal are,
⇒ 2.714 m, 2.714 m, 1.358 m
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
A container with an open top is to have 10 m³ capacity.
Now,
Let the dimensions are x, y and z.
Since, Volume of box = 10 m³
Hence, We get;
⇒ xyz = 10
⇒ z = 10/xy
Since, A container is open in top.
Hence, The surface area = 2xz + 2yz + xy
Substitute z = 10/xy;
⇒ S.A = 2x (10/xy) + 2y (10/xy) + xy
= 20/y + 20/x + xy
For minimum metal;
⇒ d (S.A)/ dx = 0
⇒ - 20/x² + y = 0
⇒ y = 20/x² ..(i)
And, d (S.A) / dy = 0
⇒ - 20/y² + x = 0
⇒ x = 20/y² ..(ii)
Divide equation (i) and ((ii);
⇒ x = y
Hence, We get;
⇒ xyz = 10
⇒ x³ = 10
⇒ x = 2.714
And, y = 2.714
So, The value of z is,
⇒ z = 10/xy
⇒ z = 10 / 2.714×2.714
⇒ z = 1.358 m
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A) Find an equation for the line perpendicular to the tangent line to the curve y=x^3-4x+6 at the point (2,6)
-The equation is y=
b) What is the smallest slope on the curve? At what point on the curve does the curve have this slope?
-The smallest slope on the curve is
-The curve has the smallest slope at the point
c) Find equations for the tangent lines to the curve at the points where the slope of the curve is 8.
Answer:
f(x) = x³ - 4x + 6
f'(x) = 3x² - 4
a) f'(2) = 3(2²) - 4 = 12 - 4 = 8
6 = 8(2) + b
6 = 16 + b
b = -10
y = 8x - 10
b) 3x² - 4 = 0
3x² = 4, so x = ±2/√3 = ±(2/3)√3
= ±1.1547
f(-(2/3)√3) = 9.0792
f((2/3)√3) = 2.9208
c) 3x² - 4 = 8
3x² = 12
x² = 4, so x = ±2
f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6
6 = -2(8) + b
6 = -16 + b
b = 22
y = 8x + 22
f(2) = 6
y = 8x - 10
The equation perpendicular to the tangent is y = -1/8x + 25/4
-The smallest slope on the curve is 2.92
The curve has the smallest slope at the point (1.15, 2.92)
The equations at tangent points are y = 8x + 16 and y = 8x - 16
Finding the equation perpendicular to the tangentFrom the question, we have the following parameters that can be used in our computation:
y = x³ - 4x + 6
Differentiate
So, we have
f'(x) = 3x² - 4
The point is (2, 6)
So, we have
f'(2) = 3(2)² - 4
f'(2) = 8
The slope of the perpendicular line is
Slope = -1/8
So, we have
y = -1/8(x - 2) + 6
y = -1/8x + 25/4
The smallest slope on the curveWe have
f'(x) = 3x² - 4
Set to 0
3x² - 4 = 0
Solve for x
x = √[4/3]
x = 1.15
So, we have
Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6
Smallest slope = 2.92
So, the smallest slope is 2.92 at (1.15, 2.92)
The equation of the tangent lineHere, we set f'(x) to 8
3x² - 4 = 8
Solve for x
x = ±2
Calculate y at x = ±2
y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)
y = (2)³ - 4(2) + 6 = 6: (2, 0)
The equations at these points are
y = 8x + 16
y = 8x - 16
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If y =3x-5,and x=5 then y ???
Find that the radius of curvature of ^2y=x^3-a^3
at the point where the
curves cut the X-axis.
The radius of curvature of the curve \(a^{2y\)=x³-a³ at the point where the curve intersects the x-axis is 27\(a^{\frac{3}{2}\).
To find the radius of curvature of the curve \(a^{2y\)=x³-a³ at the point where the curve intersects the x-axis, we need to first find the equation of the curve and then determine the value of y and its derivative at that point.
When the curve intersects the x-axis, y=0. Therefore, we have:
a⁰ = x³ - a³
x³ = a³
x = a
Next, we need to find the derivative of y with respect to x:
dy/dx = -2x/(3a²√(x³-a³))
At the point where x=a and y=0, we have:
dy/dx = -2a/(3a²√(a³-a³)) = 0
Therefore, the radius of curvature is given by:
R = (1/|d²y/dx²|) = (1/|d/dx(dy/dx)|)
To find d/dx(dy/dx), we need to differentiate the expression for dy/dx with respect to x:
d/dx(dy/dx) = -2/(3a²(x³-a³\()^{\frac{3}{2}\)) + 4x²/(9a⁴(x³-a³\()^{\frac{1}{2}\))
At x=a, we have:
d/dx(dy/dx) = -2/(3a²(a³-a³\()^{\frac{3}{2}\)) + 4a²/(9a⁴(a³-a³\()^{\frac{1}{2}\)) = -2/27a³
Therefore, the radius of curvature is:
R = (1/|-2/27a³|) = 27\(a^{\frac{3}{2}\)
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find all solutions to the problem: 2/x+6 - 1/x+3 =2
Answer:
\(\displaystyle x=-\frac{9}{2},\:x=-4\)
Step-by-step explanation:
\(\displaystyle \frac{2}{x+6}-\frac{1}{x+3}=2\\\\\frac{2(x+3)}{(x+6)(x+3)}-\frac{(x+6)}{(x+6)(x+3)}=2\\ \\\frac{(2x+6)-(x+6)}{(x+6)(x+3)}=2\\ \\\frac{x}{(x+6)(x+3)}=2\\ \\x=2(x+6)(x+3)\\\\x=2(x^2+9x+18)\\\\x=2x^2+18x+36\\\\0=2x^2+17x+36\)
\(\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x=\frac{-17\pm\sqrt{(17)^2-4(2)(36)}}{2(2)}\\\\x=\frac{-17\pm\sqrt{289-288}}{4}\\\\x=\frac{-17\pm\sqrt{1}}{4}\\\\x=\frac{-17\pm1}{4}\\ \\x_1=\frac{-18}{4}=-\frac{9}{2},\: x_2=\frac{-16}{4}=-4\)
The measure of two angles are shown in the
diagram.
4x - 11
2x + 5
Which equation can be used to find the value of x?
A.
6x - 6 = 180
C. 6x + 64 = 180
B. 6x - 6 = 360
D. 6x + 84 = 180
Answer:
The measure of two angles are shown in the diagram. 4x - 11 2x + 5 Which equation can be used to find the value of x? A. 6x - 6 = 180 X. 6 x + 64 = 180 B. 6x - 6 = 360 D. 6x + 84 = 180
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x^2+12x−7=(x+p)^2−q. find the value of p and the value of q
Answer:
p = 6 , q = 43
Step-by-step explanation:
x² + 12x - 7
using the method of completing the square
add/subtract ( half the coefficient of the x- term )² to x² + 12x
=x² + 2(6)x + 36 - 36 - 7
= (x + 6)² - 43 ← in the form (x + p)² - q
with p = 6 and q = 43