Answer:
Solvex + 5-6 = 7.
OA. x = -8 and x = -18
OB. x = 8 and x = -8
C. x = -8 and x = 18
OD. x = 8 and x = -18
Mr. Mole left his burrow that lies below the ground and started digging his way at a constant rate deeper into the ground.
Let
y
yy represent Mr. Mole's altitude (in meters) relative to the ground after
x
xx minutes.
Which of the following could be the graph of the relationship?
Choose 1 answer:
Choose 1 answer:
The correct graph of the relationship is shown in Option D.
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Mr. Mole left his burrow that lies below the ground and started digging his way at a constant rate deeper into the ground.
Now, Let y represent Mr. Mole's altitude (in meters) relative to the ground after x minutes.
Hence, The graph of line goes down with constant rate.
Thus, The correct graph of the relationship is shown in Option D.
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What are the first three terms of the Arithmetic Sequence an = 12 – 2(n – 1)?
Group of answer choices
11, 10, 9
12, 10, 8
0, 10, 20
1, 2, 3
Answer:
The first 3 choices are:
12, 10, 8
Step-by-step explanation:
n represents a variable, in which you start at 1 and increase by 1.
So, we first start at 1.
12 - 2(1 - 1) = 12 - 2(0) = 12
Now, 2.
12 - 2(2 - 1) = 12 - 2(1) = 10
Now, 3.
12 - 2(3 - 1) = 12 - 2(2) = 8
So, we result in 12, 10, and 8.
#teamtrees #WAP (Water And Plant)
Answer:
B
Step-by-step explanation:
an = 12 - 2(n - 1)
a1 = 12 - 2(0)
a1 = 12
==============
a2 = 12 - 2(2 - 1)
a2 = 12 - 2
a2 = 10
==============
a3 = 12 - 2(3-1)
a3 = 12 - 2*2
a3 = 8
I think B must be the correct answer. I don't think you can start with n = 0 but the question should qualify that.
Need help please in number 5
Answer:
HL (Hypotenuse-Leg)
x = 13
Step-by-step explanation:
hypotenuse GJ is shared by both triangles.
∠H and ∠K are right angles so they are right triangles.
leg HG = leg KG
so HL theorem
x + 5 = 8
x = 13
(Right angle, hypotenuse and side theorem)
By this theorem GK = GH ,
=> x + 5 = 8
=> x = 8-5
=> x = 3HOPE IT HELPS
PLEASE MARK ME BRAINLIEST ☺️
Convert the number to standard notation.
6.0253 × 109
Answer:656.7577
Step-by-step explanation:
Write an explicit formula for An, the n' term of the sequence 14, 10, 6,..
An explicit formula for the arithmetic sequence is aₙ = 14 - 4(n - 1).
How to write an explicit formula for the arithmetic sequence?Mathematically, the nth term of an arithmetic sequence can be calculated by using this mathematical expression:
aₙ = a₁ + (n - 1)d
Where:
d represents the common difference.a₁ represents the first term of an arithmetic sequence.n represents the total number of terms.From the information provided, we have the following parameters:
First term, a₁ = 14
Second term, a₂ = 10
Third term, a₃ = 6
Next, we would determine the common difference as follows:
Common difference, d = a₂ - a₁
Common difference, d = 10 - 14
Common difference, d = -4
Substituting the parameters into the mathematical expression, we have;
aₙ = 14 + (n - 1)(-4)
aₙ = 14 - 4(n - 1).
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Calcular los 3/5 de los 2/3 de las 3/4 de 560
For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.
How to solve fractions?To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:
Step 1: Calculate 3/4 of 560:
3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420
Step 2: Calculate 2/3 of the result from Step 1:
2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280
Step 3: Calculate 3/5 of the result from Step 2:
3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168
Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.
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The Centers for Disease Control and Prevention (CDC) define a healthy sleep duration to be at least seven hours per day. The CDC reports that the percentage of people who report a healthy sleep duration varies by marital status. The CDC also reports that in 2018, 67% of those who are married report a healthy sleep duration; 62% of those who have never been married report a healthy sleep duration; and 56% of those who are divorced, widowed, or separated report a healthy sleep duration. The file SleepHabits contains sample data on the sleeping habits of people who have never been married that are consistent with the CDC's findings. Use these data to answer the following questions.
(a)
Develop a point estimate for the proportion of those who have never been married who report a healthy sleep duration. (Round your answer to two decimal places.)
____
Develop a 95% confidence interval for the proportion of those who have never been married who report a healthy sleep duration. (Round your answers to four decimal places.)
__ to __ hours
(b)
Develop a point estimate for the mean number of hours of sleep for those who have never been married. (Round your answer to four decimal places.)
____
Develop a 95% confidence interval for the mean number of hours of sleep for those who have never been married. (Round your answers to four decimal places.)
__ to__ hours
(c)
For those who have never been married, estimate the number of hours of sleep per day for those who report a healthy sleep duration. (Round your answer to four decimal places.)
__hours
Answer:
Hey this is easy all you have to do is read and fill out if you need help please try to contact me in some way After you have tried to read and fill out the answers!
Step-by-step explanation:
Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options.
The radius of the circle is 3 units.
The center of the circle lies on the x-axis.
The center of the circle lies on the y-axis.
The standard form of the equation is (x – 1)² + y² = 3.
The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
The three statements that are true include the following:
A. The radius of the circle is 3 units.
B. The center of the circle lies on the x-axis.
D. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
What is the equation of a circle?In Mathematics, the standard form of the equation of a circle is represented by this mathematical expression;
(x - h)² + (y - k)² = r² .......equation 1.
Where:
h and k represents the coordinates at the center of a circle.
r represents the radius of a circle.
Based on the information provided, we have the following equation of a circle:
x² + y² – 2x – 8 = 0 ......equation 2.
In order to determine the true statements, we would rewrite the equation in standard form and then factorize by using completing the square method:
x² – 2x + y² = 8 = 0
x² – 2x + (2/2)² + y² = 8 + (2/2)²
x² – 2x + 1 + y² = 8 + 1
(x – 1)² + (y - 0)² = 9 .......equation 3.
By comparing equation 1 and equation 3, we have the following:
Center (h, k) = (1, 0)
Radius (r) = 3
Additionally, this line and the center of the given circle lies on the x-axis (x-coordinate) because the y-value is equal to zero (0).
(x - 0)² + (y - 0)² = 3²
x² + y² = 9.
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WidgCo is a company that manufactures widgets. It is known that 1 out of every 49 widgets that the company produces is defective. A batch of 150 widgets is produced.
Find the probability that the number of defective widgets in the batch is more than 1 but less than 5.
The probability that the number of defective widgets in a batch of 150 widgets is more than 1 but less than 5 is 6%.
What is the probability?Probability explains the chance of recording an expected outcome when many possible events can happen.
Certainty in probability equals 1. Uncertainty equals zero. Otherwise, the normal probability is between 0 and 1, which is a fractional value.
Normal probabilities are represented in decimals, fractions, and percentages.
The established probability of defective widgets = 1/49
Sample batch = 150 widgets
Defective widgets >1 and <5, which are 2, 3, or 4.
The probability of more than 1 but less than 5 = 2/150 + 3/150 + 4/150
= 0.06
= 6%.
Thus, there is a 6% probability that the number of defective widgets in the batch is more than 1 but less than 5.
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what is the slope of the line that passes through the points (-8,3) and (-8,2). write your answer in the simplest form
Answer:
0
Step-by-step explanation:
The slope is 1/0, and that equals 0.
Answer:
It's undefined
Step-by-step explanation:
A basket holds 45 apples and 3 oranges. A blindfolded man reaches into the basket and selects one piece of fruit. State the probability of the outcome for each kind of fruit as a decimal
Answer:
ahahha free points for me
What are the coordinates of Point Z(−3.9, −9.3) after a reflection across the y-axis?
Answer:
(3.9, - 9.3 )
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
Z (- 3.9, - 9.3 ) → Z' (3.9, - 9.3 )
The coordinates of the point after reflection across y-axis is Z' ( 3.9 , -9.3 )
What is Reflection?Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point. The line of reflection is the line that a figure is reflected over. If a point is on the line of reflection then the image is the same as the pre-image. Images are always congruent to pre-images.
The reflection of point (x, y) across the x-axis is (x, -y). When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).
Given data ,
Let the coordinates of the point be represented as Z ( -3.9 , -9.3 )
Now , let the coordinates of the reflected point be Z'
where the axis of reflection is y-axis
So , when you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).
Therefore , Z' = Z' ( 3.9 , -9.3 )
Hence , the reflected point is Z' ( 3.9 , -9.3 )
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Can someone help me with my homework please
Answer:
this answer is perfect I hope enjoy it
9.) If a dozen balloons cost 30 cents, how many balloons can you get for 1 dollar?
A. 40 balloons
C. 36 balloons
B. 44 balloons
D. 50 balloons
1 dozen = 12
1 dollar / 30 cents = 3 1/3
You can buy 3 1/3 dozen.
12 x 3 1/3 = 40
You can buy 40 balloons for a dollar.
Answer:
44
Step-by-step explanation:
30=12 Balloons
30 goes into 100 3 times
3 x 300 =90
now there are only ten cents left
3x10 = 30
12/3=4
40 + 4 = 44
tyler orders a meal thats 15$ if the tax rate is 6.6% how much will the sales tax be on tylers meal?
Answer : 0.99
Explanation : 15 * 6.6/100 For The Tax.
Total : 15.99
A trellis is a system of overlapping wooden slats
created for a vegetable or flower vine to grow on.
What must be the value of x so that the two slats will
be parallel? What is the angle measure at that
location? Show and explain all work using
mathematical language.
For the angles to be parallel, the value of x is of x = 28, and the angle is of 132º.
What is needed for the slats to be parallel?The angles need to have the same measure. Their measures are of 3x + 48 and 6x - 36, hence:
3x + 48 = 6x - 36
3x = 84
x = 84/3
x = 28.
Hence the measure of the angle is:
3x + 48 = 3 x 28 + 48 = 132º.
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use of direct and indirect materials in production requires a credit to
A. work-in-process inventory
B. raw materials inventory
C. Manufacturing Overhead
D. finished goods inventory
The figure below shows a triangular piece of cloth:
7 in.
What is the length of the portion BC of the cloth?
07 cos 33°
sin 33
07 sin 33°
B
O cos 33
The length of portion BC of the cloth is approximately 5.8709 inches.
To find the length of portion BC of the cloth, we need to use trigonometric functions.
In this case, we can use the cosine function.
Given that the adjacent side to angle B is labeled BC and the hypotenuse is labeled 7 in, we can apply the cosine function, which is defined as the adjacent side divided by the hypotenuse:
cos(angle) = adjacent / hypotenuse
In this scenario, the angle we are considering is 33 degrees.
Therefore, we have:
cos(33°) = BC / 7 in
To isolate BC, we can rearrange the equation:
BC = 7 in \(\times\) cos(33°)
Calculating this expression, we find:
BC ≈ 7 in \(\times\) 0.8387 (rounded to four decimal places)
BC ≈ 5.8709 in.
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Which number is equivalent to 7/11
?
The equivalent fractions of 7/11 are 14/22, 21/33, 28/44 and 35/55
There are infinitely many numbers equivalent to 7/11
since 7/11 is a fraction that can be simplified in different ways.
We can multiply the numerator and denominator with the same number to get the equivalent fractions
7/11×2/2 = 14/22
7/11×3/3= 21/33
7/11×4/4 =28/44
7/11×5/5 =35/55
Hence, the equivalent fractions of 7/11 are 14/22, 21/33, 28/44 and 35/55
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e
B
0
14. The table shows the number of inches of
rain over five months. What would be an
appropriate display of the data? Explain.
(Lesson 2)
Month
Number
of Inches
of Rain
Jan. Feb. Mar.
1.5
2.2
3.6
Apr.
5.3
May
4.8
The graph of the given function is attached.
Given is a function for the rainfall in 5 months in inches.
We need to display the data,
So, as we can see that the data is not showing any proportion or pattern,
So, it can be displayed as a line chart.
Hence the chart is attached for the function.
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Select the correct answer. Joel and Kevin are each putting money in a savings account to buy a new bicycle. The amount, in dollars, in Joel's savings account, x weeks after the start of the year, is modeled by function j. The amount of money in Kevin's account, at the same time, is modeled by function k. j(x) = 25 + 3x k(x) = 15 + 2x Which function correctly represents how much more money, in dollars, is in Joel's account than in Kevin's account x weeks after the start of the year? O A. (j − k)(x) = 40 + 5x (j − k)(x) = 40 + x (j-k)(x) = 10 + 5x (j-k)(x) = 10 + x O B. C. O D. Reset dtry Next
The correct answer is (j - k)(x) = 10 + x.
To find the difference in the amount of money between Joel's and Kevin's accounts, we subtract the value of Kevin's account (k(x)) from Joel's account (j(x)).
(j - k)(x) = (25 + 3x) - (15 + 2x)
= 25 - 15 + 3x - 2x
= 10 + x
This expression represents how much more money is in Joel's account compared to Kevin's account after x weeks.
Therefore, the correct function is (j - k)(x) = 10 + x.
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Which equation represents a line which is parallel to the line y = 5x – 5?
A)5x +y = 8
B)2 – 5y = -30
C)y - 5x = 2
D)3 + 5y = 30
Answer:
C) y-5x=2
Step-by-step explanation:
y-5x=2
y=5x+2 parrallel to y=5x-5
Can I get brainliest!
Using slope of the lines, we found that option C line y - 5x = 2 is parallel to given line y = 5x – 5.
What is slope of a line and find it using slope intercept form of a line?Slope of a line is the measure of how steep a line is.
The slope intercept form of a line is y = mx + c
where y is y coordinate, x is x coordinate, m is the slope of the line and c is y intercept.
Also ,if two lines are parallel then their slopes are equal.
Given line is y = 5x - 5 , this line is in slope intercept form y = mx +c
comparing with standard form slope , m = 5
Thus given line is of slope 5
A) 5x + y = 8
⇒ y = -5x +8
Slope of the line y = -5x +8 is -5 ≠ 5 (slope of the given line)
∴ option A is not parallel to y = 5x - 5
B) 2 – 5y = -30
⇒ 5y = 32⇒ y = 32/5
y = 32/5 has slope 0 ≠ 5 (slope of the given line)
∴ option B is not parallel to y = 5x - 5
C.) y - 5x = 2
⇒ y = 5x+ 2
Using slope intercept form slope of option C is 5 = slope of the given
line
∴ option C is parallel to y = 5x - 5
D.) 3 + 5y = 30
⇒ 5y= 27 ⇒ y = 27/5
y = 27/5 has slope 0 ≠ 5 (slope of the given line)
∴ option D is not parallel to y = 5x - 5
Therefore, Option C line y - 5x = 2 is parallel to given line y = 5x – 5.
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Give the value of each trigonometric ratio
Answer:
Cos(M)=35/37
Cos(N)=12/37
Sin(M)=12/37
Sin(N)=35/37
Tan(M)=12/35
Tan(N)=35/12
algebra 2 question:
i know it is a three system equation, i would just like to know the three equations and how to get them.
ill solve it myself to save you time if ever sent, thank you
Answer:
x + y + z = 49
2.50x + 7y + 1.50z = 147
y + 7 = z
Step-by-step explanation:
Before you even start setting up the equations, create variables for information needed, but not given in the problem:
Variable x = number of tacos
Variable y = number of burritos
Variable z = number of sodas
The first piece of information we are given is the number of items so make this into an equation:
x + y + z = 49
Next we are told how much everything cost in total so make this into an equation:
2.50x + 7y + 1.50z = 147
Lastly, we are informed Rosa bought 7 more sodas than burritos so form an equation using this information:
y + 7 = z
Consider the numerical expression: 3^4
If the given expression is raised to the power of 12, which expression is NOT equivalent?
A) 3^16
B) 3^48
C) (3^12)^4
D) (3^6)^8
Answer:
B 3^48
Step-by-step explanation:
Please help quick ASAP
Which of these decimals is the smallest?
0.38
0.376
0.3745
0.375
determine the smallest integer value of x in the solution of the following inequlaity.
we have
-3x-7 < 14
Solve for x
Adds 7 both sides
-3x < 14+7
-3x < 21
Divide by -3 both sides
Remember that
when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol
so
x >-7the solution is all real numbers greater than -7
If a line is tangent to a circle, then it is ___________ to the radius drawn to the point of tangency.
If a radius is drawn to the point of tangency of a tangent line, then the radius is basically perpendicular to the tangent line.
Given that the radius is drawn to the point of tangency of a tangent line.
We are required to fill the blank with the appropriate word.
Radius is basically the line segment which joins the center to any point on the circumference of the circle.
Tangent line is basically a line which is drawn from an outside point on the circumference of the circle.
When the radius is drawn to the point of tangency of a tangent line, then the radius is perpendicular to the tangent line.
Hence if a radius is drawn to the point of tangency of a tangent line, then the radius is perpendicular to the tangent line.
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Describe a function that takes an input, adds 2, and then multiplies by 4
Answer:
Step-by-step explanation:
Describe a functiDescribe a function that takes an input, adds 2, and then multiplies by 4on that takes aDescribe a function that takes an input, adds 2, and then multiplies by 4n inpDescribe a function that takes an input, adds 2, and then multiplies by 4ut, adds 2, and then multiplies by 4