To get a result of 4 on the numerical expression, Barry added 4 to the expression on the number line. So, the correct answer is C).
The expression involves adding up the values at different points on the number line. We can see that the value at the point labeled "x" is the missing value that needs to be found.
By adding up the values at each point, we get the following equation
-5 + (-3) + x - (-7) = 1
Simplifying this equation gives
-5 - 3 + x + 7 = 1
Simplifying further
-x = -4
Solving for x, we get
x = 4
Therefore, the value of x that Barry added to the expression on the number line to get a result of 4 is 4. So, the correct option is C).
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--The given question is incomplete, the complete question is given
" Barry used a number line to simplify a numerical expression on a math test. Which number did Barry add to get a result of 4 on the numerical expression he simplified? A –14, B −6, C 4, D 14 "--
PLEASE HELP! FOURTY POINTS!
discussion topic
Many types of bias exist when it comes to surveys, including nonresponse bias, undercoverage, and poorly worded survey questions. Think about a survey you’ve been asked to participate in. Maybe it was printed on a fast-food receipt or a store directed you to an online survey after you made a purchase. What influenced you to participate in the survey or to opt out of participating?
Answer:
your experience and whether or not you believe any biases were present in the survey.
When it comes to surveys, there are several factors that can influence a person's decision to participate, such as the timing and location of the survey, the perceived relevance of the questions and incentives offered for participation. In some cases, people may opt-out of participating in a survey due to privacy concerns, lack of interest or distrust of the organization conducting the survey.
In terms of biases, survey designers should be careful of different types of biases that can affect the results, such as sampling bias, selection bias and response bias. For example, if a survey is only given to certain demographics, the results may not be representative of the target audience. Similarly, if the survey questions are worded in a leading or biased way, it can influence a person's response and skew the results.
It is important for survey designers to be aware of these biases and take steps to minimize their impact. This can include using random sampling techniques to ensure a representative sample, testing survey questions with focus groups to ensure they are clear and unbiased, and providing clear and transparent information about the purpose and use of the survey data. By taking these steps, survey designers can create surveys that produce accurate and reliable results.
Answer:
People may be more likely to participate in a survey if:
1. They have a positive experience with the company or organization.
2. The survey is relevant to them and they feel their opinion is important.
3. There is some incentive, such as a discount or chance to win a prize.
4. The survey is short and easy to complete.
On the other hand, people may choose to opt-out of a survey if:
1. They don't have the time or interest in participating.
2. They don't trust the company or organization.
3. They don't want to share personal information.
4. The survey is too long or difficult to complete.
It's important for researchers to be aware of these factors to minimize bias in survey results.
Step-by-step explanation:
The graph shows f(x). The absolute value function g(x) is described in the table.
The graph shows a v-shaped graph, labeled f of x, with a vertex at 0 comma negative 1, a point at negative 1 comma 0, and a point at 1 comma 0.
x g(x)
−4 6
−2 4
0 2
2 4
4 6
If g(x) = f(x) + k, what is the value of k?
k = −3
k = −2
k = 2
k = 3
The value of k, in the absolute function g(x) = f(x) + k is 3.
The correct option is k = 3.
The vertex of the graph of f(x) is at (0, -1).
This means that f(0) = -1.
To make g(x) = f(x) + k, we need to add k to every y-value of the graph of f(x).
Since f(0) = -1, we want g(0) = f(0) + k = -1 + k.
Looking at the table of values for g(x), we see that g(0) = 2.
Therefore, we have:
-1 + k = 2
Solving for k, we get:
k = 3
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I need to know the answer ton questions 1 and three
A system of linear equations for line h and j are y = -3x/4 - 5 and y = -5x/4 + 1 respectively.
An equation for the exponential function graphed is [tex]f(x)=\frac{1}{3}^{x}[/tex]
How to determine an equation of lines h and j?First of all, we would determine the slope of line h as follows;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (1 - 7)/(-8 + 16)
Slope (m) = -6/8
Slope (m) of line h = -3/4.
At data point (-8, 1) and a slope of -3/4, a linear equation in slope-intercept form for line h can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 1 = -3/4(x + 8)
y - 1 = -3x/4 - 6
y = -3x/4 - 5
At data point (-4, 6) and a slope of -5/4, a linear equation in slope-intercept form for line j can be calculated by using the point-slope form as follows:
y - 6 = -5/4(x + 4)
y - 6 = -5x/4 - 5
y = -5x/4 + 1
In Mathematics, an exponential function can be modeled by using the following mathematical equation:
[tex]f(x) = a(b)^x[/tex]
Since this exponential function passes through the points (0, 1) and (-1, 3), we have:
1 = ab⁰
1 = a
3 = a(b)⁻¹
3 = 1 × (b)⁻¹
3 = 1/b
b = 1/3
Therefore, the graphed exponential function is given by;
[tex]f(x) = a(b)^x\\\\f(x) = 3^{-x}\\\\f(x)=\frac{1}{3}^{x}[/tex]
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A large business took in 7 million dollars in insurance premiums and paid out 5.9 million in medical claims. Did this business meet the minimum MLR?
Answer:
Step-by-step explanation:
10
Factor.
f(x) = x² + 4x - 12
(x + [?])(x - [])
Enter
Answer:
(x + 6)(x - 2)
Step-by-step explanation:
f(x) = x² + 4x - 12
consider the factors of the constant term (- 12) which sum to give the coefficient of the x- term (+ 4)
the factors are + 6 and - 2 , since
6 × - 2 = - 12 and 6 - 2 = + 4 , then
x² + 4x - 12 = (x + 6)(x - 2) ← in factored form
For Exercises 1-4, in OA, m/BAD = 90, MEG = 90,
and BC= FE.
B
1. Find mLEAG. 90°
E
A 90
F
G
D
1. The value of angle EAG is 90⁰.
2. The value of arc BD is 90⁰.
3. The angle that is congruent to angle BAC is ∠ EAF
4. The segment that is congruent to line BD is | EG |.
What is the value of angle EAG?
The value of angle EAG is calculated as follows;
m∠EAG = m∠BAD ( congruent triangles )
m∠EAG = 90⁰
The value of arc BD is calculated as follows;
arc BD = m∠BAD (intersecting chord theorem)
arc BD = 90⁰
The angle that is congruent to angle BAC is determined as follows;
∠BAC ≅ ∠ EAF
The segment that is congruent to line BD is determined as;
| BD | ≅ | EG |
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every year a laptop is worth 1/3 of what it was worth for each year previous. if you have a $600 laptop, how much is it worth after 15 years?
The laptop will be worth $0.001286 after 15 years if its worth becomes 1/3 each year.
We can solve this problem by using the formula for geometric sequences,
an = a₁r^(n-1), here in this case, an is the worth of the laptop after n years, r is the rate at which the worth is changing that 1/3 in this case and a₁ is the value of the laptop currently. Substituting the given values, we get:
a₁₅ = 600(1/3)¹⁵⁻¹
a₁₅ = 600(1/3)¹⁴
a₁₅ = 600x0.0000021433
a₁₅ = 0.001286
Therefore, after 15 years, the laptop is worth approximately $0.001286.
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I need help with the bearing part, this is worth 70 points because I can't play anything until I get this done
Answer:
70°
Step-by-step explanation:
You want the bearing of R from Q on the given map.
BearingThe bearing is the angle measured clockwise from north. My geometry program measures R from Q at about 70°.
__
Additional comment
Measuring the bearing on a printed copy of the map using a protractor would be an appropriate way to determine what it is. The geometric distortions involved in using computer images are not always predictable.
The length of a rectangle is 40 inches. The width of the rectangle is 18 inches. What is the perimeter of the rectangle?
I need help please I really need to pass this lesson
The equation that matches the given statement can be identified using transposition-method.
a)2 + 2y = y ⇒ Subtract 2y on both sides.
b)5(y - 4 ) = 2y ⇒ Distribute 5
c)5y = 10 - 2y ⇒ Add 2y to both sides.
d)5 = 25y ⇒ Divide both sides by 25
What is transposition-method?
Using the Transposition Method, one variable linear equations can be solved. There are situations when an equation's two sides have both constants and variables. In these situations, we first simplify the two sides into their simplest forms before transposing phrases containing variable on the RHS to the LHS and constant terms on the LHS to the RHS.
Given equations are:
2 + 2y = y
5(y - 4 ) = 2y
5y = 10 - 2y
5 = 25y
a)2 + 2y = y
to solve the equation in least number of steps, we need to Subtract 2y on both sides.
2+2y-2y=y-2y
2=-y
b)5(y - 4 ) = 2y
to solve the equation in least number of steps, we need to Distribute 5
5y - 40 =2y
c)5y = 10 - 2y
to solve the equation in least number of steps, we need to Add 2y to both sides.
5y+2y=10-2y+2y
7y=10
d)5 = 25y
to solve the equation in least number of steps, we need to Divide both sides by 25
5÷25 = 25y ÷25
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For the December food drive the Sophomores collected 125 pounds of food. The Seniors collected two and a half times more food than the Sopohmores.How much food did the Seniors collect?
The first step is to find out how much more food the Seniors collected than the Sophomores. We know that they collected two and a half times more, which is the same as 2.5 times 125 = 312.5 pounds of food.
Therefore, the Seniors collected 312.5 pounds of food.
Writing Equations of Parallel Lines On a coordinate plane, a line goes through (negative 6, 8) and (2, 6). A point is at (negative 2, negative 4). What is the slope of the line that is parallel to the given line and passes through the given point? What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the given point? What is the y-intercept of the line that is parallel to the given line and passes through the given point?
The slope of the line that is parallel to the given line is -1/4, the equation of the line in point slope form is equal to y-4=-1/4(x+2) and y intercept is -4.5
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The slope of line passing through (-6, 8) and (2, 6)
slope = 6-8/2+6
=-2/8 = -1/4
If two lines are parallel, then their slopes are equal
so The slope of the line that is parallel to the given line is also -1/4
The equation of the line in point slope form is equal to
y-y₁=m(x-x₁)
(-2, 4) is the point and m is -1/4
y-4=-1/4(x+2)
y-4=-1/4(0+2)
y=-4.5
Hence, the slope of the line that is parallel to the given line is -1/4, the equation of the line in point slope form is equal to y-4=-1/4(x+2) and y intercept is -4.5
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IF x = -2, Y = 5, and Z =3, evaluate the following expression X^4 - 5 + 2(x - Z)²
IF x = -2, Y = 5, and Z =3, the evaluation of the following expression X^4 - 5 + 2(x - Z)² is 61.
How can the expression be evaluated?From the question, we were given the values of x = -2, Y = 5, and Z =3, wwhich is needd to be used in evaluation of the given expression [tex]X^4 - 5 + 2(x - Z)^2[/tex]. All we need to do is to substitute the values that as given in term of x,y,z so that the values can be used in the evaluation of the expression so that the actual value can be known.
[tex]X^4 - 5 + 2(x - Z)^2\\-2^4 - 5+2(-2-3)^2\\ \\=-2^4 - 5+2(-5)^2[/tex]
[tex]= 16 - 5 + 2(25)\\=16 - 5 + 50\\=61[/tex]
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a hospital marketing manager tells the patient coordinator to hand out the patient satisfaction survey on discharge to every 20th patient who leaves the urgent care facility for the next week. this approach uses what sampling method?
The approach described by the hospital marketing manager, which involves handing out patient satisfaction surveys to every 20th patient who leaves the urgent care facility for the next week, uses the "systematic sampling" method.
The hospital marketing manager's approach to having the patient coordinator hand out the patient satisfaction survey on discharge to every 20th patient who leaves the urgent care facility for the next week is an example of systematic sampling. This means that the patients are selected at regular intervals, in this case, every 20th patient, based on their coordinates in the discharge process. The approach is only valid for the specified week and may not be representative of the overall patient satisfaction levels of the hospital.
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The unit rate of change is 9 graph it please!
The rate of change of graph is 2/5 or 0.4
We have graph from which we take two points (0, 0) and (10, 4)
So, the rate of change of graph is
= (4-0)/ (10-0)
= 4/10
= 2/5
Thus, the rate of change is 2/5 or 0.4
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Carlos plots a circular planter's wall on a computer. He determines that the circle that defines the part of the planter wall that gets watered by the sprinkler is (x−10)2+(y+12)2=36.
What is the diameter, in meters, of the circular area that gets watered by the sprinkler?
a. 36 m b. 12 m c. 6 m d. 3 m
The diameter of the circle is 12 m. (b) is the correct option.
Comparing with the general form of the circle's equation.
Since r² = 36, the preceding equation describes a circle with a radius of 6 units and a center at (10, -12). The circle's diameter is equal to twice its radius, or:
2 × 6 = 12
Thus, the circle that the sprinkler waters has a 12-metre diameter.
Option (b) 12 m is the correct response, therefore.
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Answer:12m
Step-by-step explanation:
I took the test lolz
Determine when g(x)= 2/x-1 + 3 is positive, negative, increasing and decreasing
Answer: The function is positive when x > 1 and negative when x < 1.
The function is decreasing.
On the grid draw the line with the equation x=-3
the volume of one section of tank A is 24 cubic feet. the volume of the other section of tank A is 96 cubic feet.
The total volume of Tank A is approximately 120 cubic feet.
Volume is a measure of the amount of space occupied by a three-dimensional object or substance. It is typically measured in cubic units such as cubic meters (m³) or cubic feet (ft³). The volume of an object can be calculated by multiplying its length, width, and height (or depth) together, or by using a specific formula depending on the shape of the object.
To find the total volume of Tank A, we need to add the volumes of the two sections.
The volume of the first section is 24 cubic feet.
The volume of the second section is 96 cubic feet.
So, the total volume of Tank A is;
24 + 96 = 120 cubic feet
Therefore, the total volume of Tank A will be 120 cubic feet.
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--The given question is incomplete, the complete question is
"The volume of one section of Tank A is 24 cubic feet. The volume of the other section of Tank A is 96 cubic feet. What is the total volume, in cubic feet, of Tank A?"--
Determine the magnitude.
Answer: 13.5, 44.3
Step-by-step explanation:
You need to break up in to x and y parts of vector, then put back together.
uy=8sin50 =6.13
ux=8cos50=5.14
vy=6sin40=3.86
vx=6cos40=4.60
add x and y's
||u+v||=<9.99, 9.74> = 13.5
tan∅=9.74/9.99
∅=44.3
Select the equivalent expression.
4-3 =?
Choose 1 answer:
A
B
1
43
-4³
4
Answer:
Number A.
Step-by-step explanation:
Law of indices.....
a frog swims 8 miles downstream in 2 hours. she returns upstream in 14 hours. how fast does the frog swim in still water?
The frog's speed in still water is 2.2857 miles per hour.
Let's call the frog's speed in still water "s", and the speed of the current "c".
When the frog is swimming downstream, its effective speed is the sum of its speed in still water and the speed of the current. So the distance it covers in 2 hours is:
distance = speed x time
8 = (s + c) x 2
Simplifying this equation, we get:
s + c = 4
When the frog is swimming upstream, its effective speed is the difference between its speed in still water and the speed of the current. So the distance it covers in 14 hours is:
distance = speed x time
8 = (s - c) x 14
Simplifying this equation, we get:
s - c = 0.5714
Now we have two equations with two unknowns:
s + c = 4
s - c = 0.5714
We can solve for s (the frog's speed in still water) by adding these two equations:
2s = 4.5714
s = 2.2857
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Name the SI Units for length, mass, time, current, amount of substance, temperature and luminous intensity. Also give their symbols. Also, what are angstroms?
The SI units for the quantities you mentioned are:
1. Length: The SI unit for length is the meter (m).
2. Mass: The SI unit for mass is the kilogram (kg).
3. Time: The SI unit for time is the second (s).
4. Electric current: The SI unit for electric current is the ampere (A).
5. Amount of substance: The SI unit for the amount of substance is the mole (mol).
6. Temperature: The SI unit for temperature is the kelvin (K).
7. Luminous intensity: The SI unit for luminous intensity is the candela (cd). An angstrom (symbol: Å) is a unit of length equal to 10^(-10) meters or 0.1 nanometers. It is often used to express the sizes of atoms and molecules.
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Look at the figure if tan x=6/g and sin x =6/h what is the value of cos x?
The value of cos x is determined as g/h.
What is the value of cos x?The value of cos x is calculated by applying trigonometry identity as follows;
in trig identity tan x = sin x / cos x
From the question, the value of tan x = 6/g, and
the value of sin x = 6/h
The value of cos x is calculated by applying the trig identity of tan x as follows;
tan x = sin x / cos x
cos x = sin x / tan x
cos x = (6 / h ) / (6/g)
cos x = 6/h x g/6
cos x = g/h
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Use the diagram to write the ratio (as a fraction in lowest terms) for each trigonometric function.
sin X-
cos X-
tan X-
sin M-
cos M
tan M-
M
5
13
12
The value of sin X is 5/13.
The value of cos X is 12/13.
The value of cos X is 5/12.
The value of sin M is 12/13.
The value of cos X is 5/13.
The value of cos X is 12/5.
What is the value of the trig ratios?The value of the trig ratios is calculated as follows;
sin X = opposite side / hypothenuse side
sin X = 5/13
cos X = adjacent side / hypothenuse
cos X = 12/13
tan X = opposite side / adjacent side
tan X = 5/12
sin M = 12/13
cos M = 5 / 13
tan M = 12/5
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Sickle cell anemia is known to run in a family. A pedigree chart for this family is shown below.
The parents are shown at the top and from left to right appear as a half-shaded circle next to a half-shaded square. The two are connected by a straight line. Below the parent pair is a vertical straight line connecting to the next row of circles and squares which are the offspring. Starting from left an unshaded square, half-shaded circle, another half-shaded circle, and a completely shaded square are shown. All of these are also connected by a horizontal straight line.
What percentage of the offspring have sickle cell anemia?
0%
25%
50%
100%
Brandon estimated that he would spend $35 on his ticket and snacks at a baseball game with his friends. Happily, he only spent $28. What is the percent error for Brandon's estimate?
Answer:
25%
Step-by-step explanation:
The percent error can be calculated using the formula:
(percent error) = [(|estimated value - actual value|) / actual value] x 100%
In this case, the estimated value is $35, and the actual value is $28. Therefore:
(percent error) = [(|35 - 28|) / 28] x 100%
(percent error) = (7 / 28) x 100%
(percent error) = 0.25 x 100%
(percent error) = 25%
Therefore, Brandon's estimate had a percent error of 25%.
2² - 10z 11 = 0
Determine which equation has the same solutions as the given equation.
A.
(25)2 = 36
B.
(z 10)² = 21
O c.
(5)2 = 21
O D. (10)² = 36
The equation that has the same solution as x² - 10x - 11 = 0 is (x - 5)² = 36
Determining which equation has the same solutionsFrom the question, we have the following parameters that can be used in our computation:
x² - 10x - 11 = 0
Rewrite as
x² - 10x = 11
Add to both sides the square of half the coefficient of x
So, we have
x² - 10x + (-10/2)² = 11 + (-10/2)²
Evaluate
x² - 10x + 25 = 36
So, we have
(x - 5)² = 36
Hence, the equation is (x - 5)² = 36
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write the equation of the line in fully simplified slope - intercept form
The equation of the line in slope-intercept form is y = - 6x + 3
The two-point form of the equation of a line:The two-point form of the equation of a line is used to find the equation of a straight line that passes through two given points, (x₁, y₁) and (x₂, y₂).
The formula for the two-point form is:
(y - y₁)/(x - x₁) = (y₂ - y₁)/(x₂ - x₁)
where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.
Here we have
A graph that passes through (0, 3) and (1, -3)
As we know the two-point form of the equation of a line is:
(y - y₁)/(x - x₁) = (y₂ - y₁)/(x₂ - x₁)
Take (0, 3) = (x₁, y₁) and (1, -3) = (x₂, y₂)
Substituting the values from the given points, we get:
=> (y - 3)/(x - 0) = (-3 - 3)/(1 - 0)
=> (y - 3)/(x) = (- 6)
=> y - 3 = - 6x
=> y = - 6x + 3
Therefore,
The equation of the line in slope-intercept form is y = - 6x + 3
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Jenny installed a new windshield wiper on the back window of her car. The wiper rotates
through a 120° angle as its rubber blade cleans the windshield. The wiper blade begins
cleaning at a distance of 4 inches from the point of rotation. The wiper blade is 16 inches
long.
4 in.
16 in.
What is the area cleaned by the wiper blade?
The area cleaned by the wiper blade is 418.88 square inches.
How to solveThe area purged by the cleaning mechanism can be determined to possess the features of a fractional sector of a circular shape, with the circumference comprising of the addition of the longitudinal length and layer height of the wiper blade (20 inches total).
This yields a calculation of Area = (120°/360°) * π * (20 in)^2 = (1/3) * π * 400 in^2 ≈ 418.88 square inches.
The surface area is the amount of space that is covering the external parts of an object. It is a two-dimensional quantity used to quantify the outermost dimension of something.
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