Answer:
(7) (2, 4)
Step-by-step explanation:
You want to know which of the offered points is closest to the point of intersection of the two graphed lines.
SolutionThe point of intersection can be read from the graph as approximately (2 1/3, 3 3/4). The nearest grid intersection to that point is (2, 4), which is the last point on the list of choices.
(2, 4) is closest to the actual solution
__
Additional comment
You can see this, too, by graphing the offered choices. There are none closer than (2, 4).
If Maggie rides for 2 hours on a bicycle, what is her rate if she rides for 8 miles?
__________________ mph
Answer:
4 mph
Explanation:
8 miles / 2 hours = 4 miles each hour
Given that f(x) = |x|, graph the function g(x) = -f(x + 4).
Conniving these points and connecting them, we get a V- shaped graph that's reflected vertically and shifted 4 units to the left wing.
To graph the function g( x) = - f( x 4), we need to start with the graph of the function f( x) = | x| and also apply the given metamorphoses. The function f( x) = | x| represents the absolute value function, which is a V- shaped graph symmetric with respect to the y- axis.
First, we shift the graph of f( x) = | x| horizontally by 4 units to the left by replacing x with( x 4). This results in f( x 4). Next, we multiply the entire function by-1, which reflects the graph vertically. This gives us- f( x 4). Combining these metamorphoses, we've the function g( x) = - f( x 4). To graph g( x), we can compass a many points and also draw the graph by connecting them.
Let's start with the original graph of f( x) = | x| and apply the metamorphoses
For f( x) x = -3,-2,-1, 0, 1, 2, 3
f( x) = 3, 2, 1, 0, 1, 2, 3 For
g( x) = - f( x 4) x = -7,-6,-5,-4,-3,-2,-1
g( x) = -3,-2,-1, 0,-1,-2,-3
conniving these points and connecting them, we get a V- shaped graph that's reflected vertically and shifted 4 units to the left wing.
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If a wheel rotates by 1888 degrees, how many complete revolutions has it made?
The number of revolutions made by the wheel is 5.24 ≅ 5.
Finding number of revolutions:
One complete revolution is equal to 360 degrees, so to find the number of complete revolutions the wheel has made, we can divide the total number of degrees rotated by 360.
Here we have
A wheel rotated by 1888°
As we know One complete revolution is equal to 360 degrees
Hence, the angle can be rotated by the wheel in 1 rotate = 360°
Let the wheel make 'x' revolution to make 1888°
=> 360(x) = 1888
=> x = 1888/360
=> x = 5.24
Therefore,
The number of revolutions made by the wheel is 5.24 ≅ 5.
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An office manager orders one calculator or one calendar for each of the office's 60 employees. Each calculator costs $15, and each calendar costs $10. The entire order totaled $800.
Part A: Write the system of equations that models this scenario. (5 points)
Part B: Use substitution method or elimination method to determine the number of calculators and calendars ordered. Show all necessary steps. (5 points)
The system of equations is.
\(\begin{cases}\text{x}+\text{y}=60 \\15\text{x}+10\text{y}=800 \end{cases}\)
And the solutions are y = 50 and x = 10.
How to write and solve the system of equations?Let's define the two variables:
x = number of calculators.y = number of calendars.With the given information we can write two equations, then the system will be:
\(\begin{cases}\text{x}+\text{y}=60 \\15\text{x}+10\text{y}=800 \end{cases}\)
Now let's solve it.
We can isolate x on the first to get:
\(\text{x} = 60 - \text{y}\)
Replace that in the other equation to get:
\(15\times(60 - \text{y}) + 10\text{y} = 800\)
\(-2\bold{y} = 900 - 800\)
\(-2\bold{y} = 100\)
\(\text{y} = \dfrac{100}{-2} = \bold{50}\)
Then \(\bold{x=10}\).
Therefore, the solutions are y = 50 and x = 10.
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4(1-x)<16 solve and graph
Answer: (x > -3).
Step-by-step explanation:
To solve the inequality 4(1 - x) < 16, we will simplify and solve for x:
4(1 - x) < 16
Distribute the 4:
4 - 4x < 16
Subtract 4 from both sides:
-4x < 12
Divide both sides by -4. Note that when dividing by a negative number, the inequality sign flips:
x > -3
The solution to the inequality is x > -3. This means that x must be greater than -3 for the inequality to hold true.
To graph the solution on a number line, we mark a shaded region to the right of -3, indicating that all values greater than -3 satisfy the inequality:
The open circle at -3 indicates that -3 is not included in the solution since the inequality is strict (x > -3).
here's the graph for 4(1-x)<16
(-2) (4+6)+(-2) 6 / (-2) (4-1) simplified
The simplified form of the expression is \(-32\).
To simplify the expression, we can perform the calculations written below step by step:
\(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\)\)
We follow the order of operations (PEMDAS/BODMAS):
Step 1: Simplify within parentheses:
\(\(4+6 = 10\)\).
Step 2: Perform multiplications and divisions from left to right:
\(\(-2(10) = -20\) and \(-2(4-1) = -2(3) = -6\)\).
Step 3: Evaluate the remaining additions and subtractions:
\(\(-20 + (-2) \cdot 6 = -20 - 12 = -32\)\).
Therefore, the simplified form of the expression \(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\) is \(-32\).\)
When simplifying an expression, several factors need consideration. First, apply the order of operations correctly, respecting parentheses and exponents. Next, combine like terms by adding or subtracting them. Distribute and simplify within parentheses or brackets as needed. Pay attention to negative signs and ensure their proper placement.
Finally, review the simplified expression to ensure accuracy and validity within the given context.
Note: The complete question is:
\(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\)\), calculate the simplified form of this expression.
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Do all perpendicular lines have negative reciprocal slopes?
Not necessarily, the more correct definition is opposite reciprocal slopes.
The example used is how horizontal and vertical lines are parallel. Horizontal lines have a slope of 0, also written as 0/1. However, vertical lines have an undefined slope, which isn't necessarily negative. It has a slope of 1/0, which is undefined. In this case, the reciprocal isn't negative.
In all other cases (1 and -1, 2 and -1/2, etc.) yes, the perpendicular pairs are negative and reciprocal.
Point D is the centroid of ABC, BD = 4x + 2 and DF = 3x . Find the value of x .
If point D is the centroid, then the value of x = 1.
What is centroid?The center of the thing is represented by its centroid. The centroid of a triangle is the location where the triangle's three medians intersect. It can alternatively be described as the location where the three medians come together. A line connecting a side's midpoint and the triangle's opposite vertex is called the median. According to the centroid theorem, the triangle's centroid is located 2/3 of the way between the vertex and the side midpoints.
Given that, D is the centroid of ABC.
BD = 4x + 2, and
DF = 3x
BF = BD + DF = 4x + 2 + 3x = 7x + 2.
According to the centroid theorem of triangle we have:
BD = 2/3 (BF)
Substitute the values:
4x + 2 = 2/3(7x + 2)
3(4x + 2) = 2(7x + 2)
12x + 6 = 14x + 4
2 = 2x
x = 1
Hence, if point D is the centroid then the value of x = 1.
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Determine the slope of the line in the graph below.
8
6
4
2
1
- 10 -8
-6
2
4
6
5
8
10
-4 --2
-2
-4
-6
-81
The slope is 1/2.
If you pick two points and count the rise over run (see picture below), you might get 1/2 or 2/4 or 3/6. But 3/6 and 2/4 reduce down to 1/2.
9/5 ÷ 2/5 Show your work.
Answer:
9.4
Step-by-step explanation:
9/5 / 2/5=9.4
1 4/5 / 2/5 = 9.4
Answer: 9/2
Step-by-step explanation:
9/5 divided by 2/5
you keep 9/5 you change the divide sing into a times then you flip 2/5 to 5/2 then you times them and cross cancel.
Here's a brain teaser.
(I already know the answer)
1=5
2=10
3=15
4=20
5=?
Answer:
5 = 1
or
5 = 25
Step-by-step explanation:
I've seen two answers to this.
1. Since we are told 1 = 5, then 5 = 1.
One answer is 1 = 5
2. Since each number on the right is 5 times the number on the left, then 25 corresponds to 5, and 5 = 25.
Answer: 5=1 (The correct answer) 5=25 (The answer that makes sense but is not correct).
Step-by-step explanation:
Explanation for answer 1: It say's that 1 = 5.
Explanation for answer 2: If we follow the pattern of adding 5 each time we go up a number then 5 would equal 25.
Can someone help please ??
Answer:
x=40
Step-by-step explanation:
In the picture, it seems that angles BHC, CHD, and DHE form a line, 180 degrees. So to solve, set up an equation:
\((2x+5)+55+40=180\)
Take off the parentheses and solve.
Subtract 5, 55 and 40 from both sides, or add them together, then subtract.
5+55+40=100
You get:
\(2x=80\)
Divide both sides by 2
You get:
\([x=40]\)I hope this helps!
How many normal distributions are there? (1, 10, 30, infinite—pick one)
Answer:
Infinate
Step-by-step explanation:
The normal distribution is dependent on the standard deviation and what the value of the mean is. But this then implies that a different standard deviation or a different mean leads to a different normal distribution. Making there many possibilities for normal distributions.
There are infinitely many possibilities for normal distributions as there are indefinitely many values possible for both the mean and standard deviation.
7/10;1/3;5/6 ayuda es de matemáticas
Answer:
0.7 1/3 0.8333 repeating yo no hablo espanol
Step-by-step explanation:
7 / 10 is 0.7 , 1 / 3 is 1/3, 5 /6 is 0.8333 repeating
CAN ANYONE SOLVE THIS PROBLEM??
Answer:
Step-by-step explanation:
The angle must be less than 180º
m∠FIE < 180
5x - 15 < 180
add 15 to both sides
5x < 195
Divide both sides by 5
x < 39
Therefor the first three choices are physically impossible
x = 21
In ΔUVW, u = 76 inches, w = 71 inches and ∠W=69°. Find all possible values of ∠U, to the nearest degree.
The value of the angle U from the calculation is 88 degrees.
How do you solve a triangle?The sine rule can be applied in a variety of situations, such as determining a triangle's unknown side lengths or angles. The sine rule can be used to locate the missing side or angle if you know the lengths of two sides and the measure of an angle (not necessarily the included angle).
By the use of the sine rule;
u/Sin U = w/Sin W
Thus;
76/Sin U = 71/Sin 69
Sin U = 76Sin 69/71
U = Sin-1 (76Sin 69/71)
U = 88 degrees
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The function T(d)=10d + 20 gives the temperature in deegrees celcius inside the earth as a function if d, the depth in kilometers ,Find the temperature at.
Answer:
Step-by-step explanation:
The question is incomoplete. Here is the complete question.
The function T(d)=10d + 20 gives the temperature in deegrees celcius inside the earth as a function if d, the depth in kilometers ,Find the temperature at 5km, 20km and 100km
T(d)=10d + 20
T(5)=10(5) + 20
T(5)= 50+ 20
T(5) = 70
Hence the temperature is 70 when d = 5km
when d = 20km
T(20)=10(20) + 20
T(20)= 200+ 20
T(20) = 220
Hence the temperature is 220 when d = 20km
when T = 100km
T(100)=10(100) + 20
T(100)= 1000+ 20
T(100) = 1020
Hence the temperature is 1020 when d = 100km
The temperatures at 5km, 20km and 100km are; 70°C, 220°C, and 1020°C respectively.
The complete question requires that we find the temperature at 5km, 20km and 100km.
The temperature function is; T(d)=10d + 20
For 5km;
T(5)=10(5) + 20T(5) = 70°CFor 20km;
T(20) = 10(20) + 20T(20) = 220°CFor 100km;
T(100)=10(100) + 20T(100) = 1020°CRead more;
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a coat is on sale for $65. if the sale price is two-fifths off the regular price, what is the regular price of the coat?
Given: a || b
Find the missing angle measures in the diagram. Explain how you find each angle measure. (please explain how you got the answer)
The angle measure explained in the solution.
Given that, a || b, we need to find the missing angles,
∠1 = 42° [vertically opposite angles]
∠3 = 62° [vertically opposite angles]
∠2 = 180°-(∠1+62°) [angle in a straight line]
∠2 = 76°
∠4 = ∠2 [vertically opposite angle]
∠4 = 76°
∠4 = ∠9 = 76° [alternate angles]
∠9 = ∠12 = 76° [vertically opposite angle]
∠3 = ∠ 6 = 62° [alternate angles]
∠ 6 = ∠7 = 62° [vertically opposite angle]
∠3 + ∠5 = 180° [consecutive angles]
∠5 = 118°
∠5 = ∠8 = 118° [vertically opposite angle]
∠4 + ∠10 = 180° [consecutive angles]
∠10 = 104°
∠10 = ∠11 [vertically opposite angle]
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A dilation maps (6, 10) to (3, 5) and the center of dilation is the origin. Given A(12, 4), determine
under the same dilation.
Analyzing the coordinates being provided, the scale factor is found to be 0.5, hence the image of point A(12,4) under the same dilation and the center of dilation as origin is A'(6,2).
What is dilation?A dilation is a transformation in Euclidean space that enlarges or reduces all the points in a figure by a scale factor. In the example given, the dilation maps (6, 10) to (3, 5) with a scale factor of 0.5, and the center of dilation is the origin (0,0). The image of a point A(x,y) under this dilation would be A'(x*0.5, y*0.5). It means the point is scaled down by 0.5 in both x and y coordinate.
How can the dilation described above be used in real-world applications?The dilation described above can be used in real-world applications such as image processing, where it can be used to reduce the size of an image without losing important details, or to enlarge an image without introducing distortion. It can also be used in architectural design to create smaller or larger versions of floor plans and blueprints. Additionally, it can be used in cartography to change the scale of maps without altering the shape of the features on the map.
Analyzing the given dilation map , mapped from (6,10) to (3,5) ,the center of the dilation being origin. We can see that the scaling factor is 0.5.
So , using the same dilation for point A(12,4), The image of A will be,
A'(12*0.5,4*0.5) = A'(6,2)
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Shaswant lent a sum of 44,000 to his friend Rahul at 10 percent p a. After 2 years and 6months his friend paid him To 40,000 with a cow. What was the price of cow.?
Answer:
4000 because a cow is 4000 and he gave 40000
cause he used it for sinething
Over what interval is the graph of f(x) = -(x + 3)? - 1 decreasing?
the interval over which the graph of f(x) = -(x + 3) - 1 is decreasing is (-∞, +∞).
What is a function?
A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.
The given function is:
f(x) = -(x + 3) - 1
To find the interval over which the function is decreasing, we need to find the values of x where the function's derivative is negative.
The derivative of the function is:
f'(x) = -1
The derivative is a constant, which means the function has a constant slope of -1. Since the slope is negative, the function is decreasing over its entire domain.
Therefore, the interval over which the graph of f(x) = -(x + 3) - 1 is decreasing is (-∞, +∞).
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A circle is centered on point B. Points A, C and D lie on its circumference.
If ZADC measures 23°, what does ZABC measure?
Answer:
46°
Step-by-step explanation:
The central angle has twice the measure of the inscribed angle subtending the same arc. Hence ∠ABC = 2(∠ADC) = 2(23°) = 46°.
You love nuts. You go to the store to buy almonds and cashews. Cashews cost $2 per pound and Almonds cost $5 per pound. You end up spending $450 on 150 pounds of nuts (you really love nuts). How many pounds of each type of nut did you get? How many pounds of cashews? How many pounds of Almonds?
(ECONOMICS- sorry there’s no button for it )
What motivates producers and consumers in the black market
The motivations for producers and consumers in the black market are largely driven by financial incentives and a desire to avoid legal consequences.
The black market refers to the illegal trade of goods and services that are not permitted by law, such as drugs, counterfeit items, and stolen goods. Producers and consumers in the black market are motivated by a variety of factors, including:
High profits, Producers in the black market can earn higher profits than they would in legal markets due to the lack of regulation and taxes.
Escaping legal consequences: Producers and consumers may participate in the black market to avoid legal consequences, such as fines or imprisonment, for engaging in illegal activities.
Limited availability, Some goods and services are only available on the black market due to legal restrictions or limited supply.
Low prices, Consumers in the black market can often purchase goods and services at lower prices than in legal markets due to the lack of taxes and regulations.
Desire for anonymity, The black market can provide anonymity for both producers and consumers, allowing them to engage in illegal activities without fear of detection or retribution.
However, participating in the black market also comes with significant risks, including the possibility of arrest, fines, and even violence.
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Need help with this equation 8x²+10x-3
Answer:
Step-by-step explanation:
You have to use the quadratic formula
x = -b +/- \(\sqrt{(b^{2} -4ac)/2a\)
and then you can simplify both answers so the first one would be -13/2 and the second would be -27/2
you usually have to reject an answer but since there is no equal sign in the question, you should be fine
Please help
Be sure to show your work and solve for f:
8 = f (13-2)
Answer:
8 = f (13-2)
8=13f-2f
8=11f
8 / 11 = 11f / 11
8/11=f
f=8/11
Step-by-step explanation:
Answer:
Simplifying
8 = F + -1(13 + -2)
Combine like terms: 13 + -2 = 11
8 = F + -1(11)
Multiply -1 * 11
8 = F + -11
Reorder the terms:
8 = -11 + F
Solving
8 = -11 + F
Solving for variable 'F'.
Move all terms containing F to the left, all other terms to the right.
Add '-1F' to each side of the equation.
8 + -1F = -11 + F + -1F
Combine like terms: F + -1F = 0
8 + -1F = -11 + 0
8 + -1F = -11
Add '-8' to each side of the equation.
8 + -8 + -1F = -11 + -8
Combine like terms: 8 + -8 = 0
0 + -1F = -11 + -8
-1F = -11 + -8
Combine like terms: -11 + -8 = -19
-1F = -19
Divide each side by '-1'.
F = 19
Simplifying
F = 19
Factor 48-6 using GCF
Answer:
I think the answer is six i just searched it or it could be 12
Step-by-step explanation:
The greatest common factor (GCF) of 48 and 6 is 6, so:
48 - 6 = 42.
this isn't college level *laugh*
Write the following as a percent, decimal and fraction.
43 out of 50
Percent: 86%
Fraction : 86/100
Decimal: 0.86 or .86
Answer:
Fraction: 43/50
Decimal: 0.86
Percentage: 86%
Step-by-step explanation:
43 out of 50
43/50 = 0.86 = 86%
he program recommends a constant intensity for 3 visits, increasing intensity over 3 visits, and then decreasing intensity for 3 visits before restarting the pattern. Which sets of values could be the intensities of Amber’s exercise during the fourth, fifth, and sixth visits? Select three options.
63%, 63%, 63%
66%, 69%, 72%
66%, 62%, 58%
63%, 65%, 67%
67%, 72%, 77%
Sets of values that could be the intensities of Amber’s exercise during the fourth, fifth, and sixth visits are -
66%, 69%, 72%
63%, 65%, 67%
What is intensity?
In physics, the power transferred per unit area is known as the intensity or flux of radiant energy, where the area is measured on a plane perpendicular to the direction of the energy's propagation.
The program recommends a pattern of constant intensity for 3 visits, increasing intensity over 3 visits, and then decreasing intensity for 3 visits before restarting the pattern.
Let's call the starting intensity level "x".
Then the intensity levels for the first 3 visits are all equal to x, the intensity levels for the next 3 visits are increasing, and the intensity levels for the following 3 visits are decreasing.
To determine which sets of values could be the intensities of Amber's exercise during the fourth, fifth, and sixth visits, we need to follow the pattern.
If the intensity level for the first 3 visits is x, then the intensity levels for the next 3 visits are x plus some value y, and the intensity levels for the following 3 visits are x plus some value z, where y and z are positive.
If we assume that the initial intensity level x is some value between 60% and 70%, then we can eliminate the last option of 67%, 72%, and 77% because the initial intensity level is too high.
Now let's check the remaining options -
63%, 63%, 63%: This set of values corresponds to a pattern of constant intensity for all 9 visits, which is not consistent with the program's recommendation.
Therefore, this option is not valid.
66%, 69%, 72%: This set of values corresponds to a pattern of increasing intensity over 3 visits, which is consistent with the program's recommendation.
Therefore, this option is valid.
66%, 62%, 58%: This set of values corresponds to a pattern of decreasing intensity over 3 visits, which is not consistent with the program's recommendation.
Therefore, this option is not valid.
63%, 65%, 67%: This set of values corresponds to a pattern of increasing intensity followed by decreasing intensity, which is consistent with the program's recommendation.
Therefore, this option is valid.
Therefore, there are only two valid options -
66%, 69%, 72%
63%, 65%, 67%
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