Answer:
3/20, 7.5%, 1/5, 45%
.Solve 2x−1<4 or −5x−3>−3 and write the solution in interval notation.
The interval notation is { 5/ 2 < x > 0 }
How to determine the valueGiven the inequalities;
2x−1<4−5x−3>−3To determine the value of x, we have;
2x - 1 < 4
collect like terms
2x < 4 + 1
2x < 5
Make 'x' the subject
x < 5/ 2
−5x −3 > −3
collect like terms
-5x > -3 + 3
-5x > 0
x > 0
Thus, the interval notation is { 5/ 2 < x > 0 }
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Write an equation of the line using function notation.
Slope 0; through (−3,−2)
The equation of the line is f(x)=
The equation of the line having slope 0 and passing through (-3,-2) is f(x) = -2.
Any horizontal line has the same y-value for every point on the line. We are given that the line passes through the point (-3,-2). This means that f(-3) = -2, since the y-value of the point (-3,-2) corresponds to the value of the function at x = -3.
This is because no matter what x-value we plug into the function, the output (y-value) will always be -2. Therefore, the equation of the line in function notation is f(x) = -2.
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which expression can be used to find the surface area of the following triangular prism. choose 1 answer.
Answer:
A is in fact correct.
Step-by-step explanation:
x + 2 > 5.8 Whats The VALUE OF X
Answer:
X > 3.8
Step-by-step explanation:
x +2 > 5.8
x +2 -2 > 5.8 -2
x > 3.8
Answer:
x > 3.8
Step-by-step explanation:
Just solve the inequality like an equation:
x + 2 > 5.8
-2 -2
x > 3.8
So then x can be any number greater than 3.8.
What is an example of "A one-to-one function of P onto Q is an isomorphism of P and Q "?
An example of a one-to-one function that is an isomorphism between sets P and Q is the function f: P -> Q defined as f(x) = 2x, where P and Q are the sets of integers.
How to Identify a One-to-One Function?An example of a one-to-one function that is an isomorphism between sets P and Q is the function f: P -> Q defined as f(x) = 2x, where P and Q are the sets of integers.
This function is one-to-one because for every element x in P, there is a unique element 2x in Q. It is onto because every element y in Q has a preimage x in P such that f(x) = y (e.g., y/2 = x).
Furthermore, this function preserves the group structure between P and Q, as it satisfies the properties of an isomorphism. In this case, the group structure is addition, and the function f preserves addition: f(x + y) = 2(x + y) = 2x + 2y = f(x) + f(y) for all x, y in P.
Therefore, the function f: P -> Q defined as f(x) = 2x is an example of a one-to-one function that is an isomorphism between sets P and Q.
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lve for m.
-3 + m
9 = 10
A.
-30
B.
63
C.
87
D.
93
The value of m that satisfies the equation -3 + m = 9 is m = 12.
To solve the equation -3 + m = 9, we can isolate the variable m by moving the constant term -3 to the other side of the equation.
-3 + m = 9
To move -3 to the other side, we can add 3 to both sides of the equation:
-3 + 3 + m = 9 + 3
Simplifying, we have:
m = 12
Therefore, the value of m that satisfies the equation -3 + m = 9 is m = 12.
None of the provided answer options (A, B, C, D) match the correct solution.
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(4⋅5)(x⋅y) is what property?
The given expression (4⋅5)(x⋅y) has a multiplication property.
What is the multiplication property?When we multiply both sides of an equation by the same number, the two sides remain equal, according to the multiplication property of equality. According to the Multiplication Property for Equations, an equation can be multiplied or divided by the same number on each side of the equation without changing the solution. Multiplication has the commutative property: Changing the order of the factors has no effect on the product. For instance, 4 × 3 = 3 × 4, 4 times 3 = 3 times 4 4 × 3=3 × 4 4, multiplied by 3, equals 3, multiplied by 4.Multiplication Properties
Multiplication's commutative property.Multiplication associative property.Multiplication's Distributive Property.Multiplication's Identity PropertySo, (4⋅5)(x⋅y) is a multiplication property as:
4(x-y)-5(x-y) = 5(x-y)-4(x-y)Therefore, the given expression has a multiplication property.
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A bakery can make 6 cheesecakes for every 60 blocks of cream cheese. Which table represents the relationship between the number of cheesecakes the bakery makes and the number of blocks of cream cheese the bakery uses?
Number of cheesecakes | Number of blocks of cream cheese
Cheesecakes Blocks of Cream Cheese
6 60
12 120
18 180
24 240
30 300
The table above represents the relationship between the number of cheesecakes the bakery makes and the number of blocks of cream cheese the bakery uses. It shows that for every 60 blocks of cream cheese, the bakery can make 6 cheesecakes, and as the number of blocks of cream cheese increases, the number of cheesecakes the bakery can make also increases in multiples of 6.
How many cheesecakes can the bakery make using 90 blocks of cream cheese?If the bakery can make 6 cheesecakes for every 60 blocks of cream cheese, we can set up a proportion to find out how many cheesecakes they can make using 90 blocks of cream cheese:
6 cheesecakes / 60 blocks of cream cheese = x cheesecakes / 90 blocks of cream cheese
To solve for x, we can cross-multiply:
6 cheesecakes * 90 blocks of cream cheese = 60 blocks of cream cheese * x cheesecakes
540 cheesecakes = 60x
Dividing both sides by 60, we get:
x = 9 cheesecakes
Therefore, the bakery can make 9 cheesecakes using 90 blocks of cream cheese.
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.
José trabajo solo 3 horas en un día, ¿qué fracción del día trabajo?
Usando conceptos de fracciones y proporciones, se encuentra que trabajó \(\mathbf{\frac{1}{8}}\) del día.
----------------------
Esta pregunta se resuelve por proporciones, usando una regla de tres Un día completo tiene 24 horas ¿Cuál es la fracción correspondiente a 3 horas de un día?1 dia - 24 horas
x dias - 3 horas
Aplicar multiplicación cruzada:
\(24x = 3\)
\(x = \frac{3}{24}\)
\(x = \frac{1}{8}\)
Entonces, \(\frac{1}{8}\) es la fracción.
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Write the following numbers in increasing order: −1.4; 2; −3 1 2 ; −1; − 1 2 ; 0.25; −10; 5.2
Answer:
-12,-10,-3,-1.4,-1,0.25,2,5.2,12
Step-by-step explanation:
The following number −1.4; 2; −3 1 2 ; −1; − 1 2 ; 0.25; −10; 5.2 in increasing order
-12,-10,-3,-1.4,-1,0.25,2,5.2,12
It's arranged this way starting from the negative sign because positive it's greater than negative and if the negative gets to approach zero it's get smaller
Answer:
-10 ; -3 1/2 ; -1.4 ; -1 ; -1/2 ; 0.25 ; 2 ; 5.2
Joseph has $620 to spend at a bicycle store for some new gear and biking outfits.
Assume all prices listed include tax.
• He buys a new bicycle for $440.12.
• He buys 2 bicycle reflectors for $12.86 each and a pair of bike gloves for $19.26.
• He plans to spend some or all of the money he has left to buy new biking outfits
for $53.96 each.
Answer:
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Step-by-step explanation will be provided in the link above!
Gabrielle's age is two times Mikhail's age. The sum of their ages is 57. What is Mikhail's age?
Answer:
Mikhail's age is 19
Step-by-step explanation:
Divide 57 by 1/3. This is Mikhails age. This means that Gabrielle is 38. The sum of their ages is 57.
Answer:
19 years old
Step-by-step explanation:
Let x be Mikhail's age, then Gabrielle's age can be represented as 2x. We can use this information to set up an equation:
x+2x=57
Combine like terms
3x=57
Divide both sides by 3
x=19
19 years old
You have the following expenses. What should your estimated monthly expenses be?
Expense type: Cost:
mortgage (monthly) - $1,045.87
groceries (bi-weekly) - $165.00
telephone (monthly) - $62.48
car payment (monthly)-$328.79
A.) $1,698.00
B.) $1,760.00
C.) $1,768.00
D.) $1,602.00
Answer:
Total monthly cost= $1,767.14
Option C.
Step-by-step explanation:
Giving the following information:
Expense type: Cost:
mortgage (monthly) - $1,045.87
groceries (bi-weekly) - $165.00
telephone (monthly) - $62.48
car payment (monthly)-$328.79
We need to sum the monthly expenses and duplicate the grocery costs because are bi-weekly.
Total monthly cost= 1,045.87 + 165*2 + 62.48 + 328.79
Total monthly cost= $1,767.14
Help please:)
Graph the equation by plotting points.
X=4
Answer:
(4,0)
Step-by-step explanation:
You basically are plotting a point on the positive number 4 on the x line. Since they're only asking for an X and not a Y, you'd leave it as (4,0). Hope this helps!
137.25 meters = ____feet
fill in the blank!!!! plz its past due
\(n = 20\) , ∑\(x = 1570\) , ∑\(x^2 = 125696\) , minimum = 60, maximum = 100
Find s. Round your answer to one decimal place.
Estimate s by using the range rule-of-thumb. (If you can explain the range rule of thumb it'll be greatly appreciated).
Answer:
s=10
Step-by-step explanation:
Basically, the range rule-of-thumb is that the range is generally about four times the standard deviation.
First, we find the range:
Range=Maximum-Minimum
Range=100-60
Range=40
Next, divide the range by 4 to get the standard deviation
Range=4(Standard Deviation)
40=4(Standard Deviation)
10=Standard Deviation
Therefore, s=10, which is the standard deviation
Mean:-
\(\\ \tt\hookrightarrow \overline{x}=\dfrac{\sum x}{n}=\dfrac{1570}{20}=78.5\)
Standard deviation:-
Two ways are available ,Let's do in both.WAY-1(apply common formula)
\(\\ \tt\hookrightarrow \sigma=\sqrt{\dfrac{\sum x^2}{n}-(\overline{x})^2}\)
\(\\ \tt\hookrightarrow \sigma=\sqrt{\dfrac{125696}{20}-(78.5)^2}\)
\(\\ \tt\hookrightarrow \sigma=\sqrt{6284.8-6162.25}\)
\(\\ \tt\hookrightarrow \sigma=\sqrt{122.55}\)
\(\\ \tt\hookrightarrow \sigma=11.07=11.1\)
Way-2(Apply range-rule of thumb):-
So the rule basically defines that range is approximately equal to four times of standard deviation.\(\\ \tt\hookrightarrow Range=max-min=100-60=40\)
NOW
\(\\ \tt\hookrightarrow \sigma \approx \dfrac{Range}{4}\)
\(\\ \tt\hookrightarrow \sigma\approx \dfrac{40}{4}\)
\(\\ \tt\hookrightarrow \sigma\approx 10\)
Make sure to use approx sign instead of equal to as range -rule of thumb doesn't give accurate standard deviation.The probability of choosing a red three-card from a standard deck of cards is approximately 3.8%. What is the probability of the complement of this event?
Answer:
96.2 thats the answer I think
If a fair coin is tossed 9 times, what is the probability, rounded to the nearest thousandth, of getting at most 2 tails?
Answer:
Below
Step-by-step explanation:
2^9 possibilities =512
9 possibles with only ONE tails (9 C 1)
36 possibles with TWO tails ( 9 C 2)
45 out of 512 45/512 = .088
URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100
POINTS!!!!!!!!!!
Answer:
Step-by-step explanation:
a) correct
b) incorrect, its actually approximately 94cm^3
c) correct
d) correct
e) incorrect, its actually around 188cm^3
i tried, i hope this works :)
Which ordered pair best describes the point plotted in Quadrant II on the coordinate plane shown?
A. (-4, 6 )
B. (6, 4 )
C. (4, -6)
D. (6, -4 )
Answer:
A. (-4, 6 )
Step-by-step explanation:
Signals of x and y in each quadrant:
Suppose we have a point P(x,y).
In the first quadrant, we have that both are positive, that is, x > 0, y > 0.
In the second quadrant, x is negative, while y is positive, that is, x < 0, y > 0.
In the third quadrant, both are negative, that is, x < 0, y < 0.
In the fourth quadrant, x is positive while y is negative, that is, x > 0, y < 0.
In this question:
In the second quadrant, we have x negative and y positive, so the ordered pair that best describes is given by option A.
When there is no solution when solving a quadratic equation with the quadratic formula, how does it affect the x-intercept of a parabola?
Answer:
Step-by-step explanation:
it just means that the parabola never touches the x axis is all
How can i calculate the number of students that graduated from the university faculty of natural sciences in 2002? how can i determine the sector angle that will represent the number of graduates in each subject? how can i hence construct a pie chart of radius 4cm to represent the information given in the table?
A table showing the number of graduates by subject from a university's faculty of natural science in 2002.
1) To calculate the number of students that graduated, find the sum of the number of graduates from each subject.
\(9+15+19+12+5=60\)The number of students that graduated is 60.
2) To determine the sector angle that will represent the number of graduates in each subject, divide the number of graduates in each subject by the total number of students and then multiply by 360º.
3) To construct a pie chart with radius, 4cm to represent the information, draw a circle of radius 4cm and partition it into sectors with central angles as calculated in (2) above.
David and Ken took part in a cycling race. Both of them did not change their speed throughout the race. David completed the race in 5 hours while Ken took 7 hours. Ken's average speed was 9.8 km/h less than David's average speed.
A) What was David average speed
B)What was the distance of the cycling race?
Let's assume David's average speed is S km/h.
A) To find David's average speed, we can use the formula: Speed = Distance / Time.
David completed the race in 5 hours, so his speed is S km/h. Therefore, we have:
S = Distance / 5
B) Ken's average speed is 9.8 km/h less than David's average speed, which means Ken's average speed is (S - 9.8) km/h.
Ken took 7 hours to complete the race, so we have:
S - 9.8 = Distance / 7
Now, we can solve the system of equations to find the values of S and Distance.
From equation (1): S = Distance / 5
Substitute this into equation (2):
Distance / 5 - 9.8 = Distance / 7
Multiply both sides of the equation by 35 to eliminate the denominators:
7 * Distance - 35 * 9.8 = 5 * Distance
7 * Distance - 343 = 5 * Distance
Subtract 5 * Distance from both sides:
2 * Distance - 343 = 0
Add 343 to both sides:
2 * Distance = 343
Divide both sides by 2:
Distance = 343 / 2 = 171.5 km
Therefore, the distance of the cycling race is 171.5 kilometers.
To find David's average speed, substitute the distance into equation (1):
S = Distance / 5 = 171.5 / 5 = 34.3 km/h
So, David's average speed was 34.3 km/h.\(\)
Answer:
A) 34.3 km/h
B) 171.5 km
Step-by-step explanation:
Since Ken's average speed is said to be 9.8km/h less than David's average speed, and we know that Ken's average speed is dependent on him traveling for 7 hours, then we have our equation to get the distance of the cycling race:
\(\text{Ken's Avg. Speed}=\text{David's Avg. Speed}\,-\,9.8\\\\\frac{\text{Distance}}{7}=\frac{\text{Distance}}{5}-9.8\\\\\frac{5(\text{Distance})}{7}=\text{Distance}-49\\\\5(\text{Distance})=7(\text{Distance})-343\\\\-2(\text{Distance})=-343\\\\\text{Distance}=171.5\text{ km}\)
This distance for the cycling race can now be used to determine David's average speed:
\(\text{David's Avg. Speed}=\frac{\text{Distance}}{5}=\frac{171.5}{5}=34.3\text{ km/h}\)
Therefore, David's average speed was 34.3 km/h and the distance of the cycling race was 171.5 km.
A package of 25 fishing hooks costs $9.95 , while a package with 40 hooks costs $13.99 . Which is the better buy? Round your answer to the nearest cent if necessary.
Therefore, the package with 40 hooks is the better buy in terms of cost efficiency.
To determine which package is the better buy, we need to compare the cost per hook for each package.
For the package of 25 hooks costing $9.95, we divide the total cost by the number of hooks:
Cost per hook = $9.95 / 25 = $0.398
Rounding to the nearest cent, the cost per hook is $0.40.
For the package of 40 hooks costing $13.99, we divide the total cost by the number of hooks:
Cost per hook = $13.99 / 40 = $0.3498
Rounding to the nearest cent, the cost per hook is $0.35.
Comparing the two costs per hook, we can see that the package with 40 hooks for $13.99 offers a better deal, as the cost per hook is lower at $0.35.
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which graph represents the function h(x)=2sin(x+pi/2)-1 ?
This graph represents the function h(x)=2sin(x+π/2)-1.
What is graph?
A graph can be defined as a pictorial representation or a diagram that represents data or values.
This graph represents the function h(x)=2sin(x+π/2)-1.
The range is the set of values that correspond with the domain.
Domain of graph: (−∞,∞),{x|x∈R}
Range of graph: [−3,1],{y|−3≤y≤1}
Use the form asin (bx−c)+d to find the amplitude, period, phase shift, and vertical shift.
Amplitude: 2
Period: 2π
Phase Shift: −π/2 (π/2 to the left)
Vertical Shift: −1
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Please help! The question is in the image.
Answer:
Step-by-step explanation:
Two more than four times a number.
2+4x=15
Answer:
13/4
Step-by-step explanation:
Subtract 2 from both sides. Now we have 4x=13. Divide by 4. We have our answer: x=13/4.
3x - 5 = -2 ( x -5 )
using the line of best fit
The monthly cell phone bill when shared data equals zero is given as follows:
$26.
How to define a linear function?The slope-intercept representation of a linear function is given by the equation presented as follows:
y = mx + b
The coefficients of the function and their meaning are described as follows:
m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the initial value of the function, i.e., the numeric value of the function when the input variable x assumes a value of 0. On a graph, it is the value of y when the graph of the function crosses the y-axis.The intercept of the line in this problem is given as follows:
b = 26.
Hence $26 is the monthly cell phone bill when shared data equals zero.
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2/5 divided by 8/15 in its simplest form
Step-by-step explanation:
2/5 ÷ 8/15
2/5 × 15/8
=3/4
Hope it helps ya
The solution of 2/5 divided by 8/15 in its simplest form is,
⇒ 3/4
We have to given that,
Find 2/5 divided by 8/15 in its simplest form.
To divide fractions, multiply the first fraction by the reciprocal of the second fraction
Let a, b, c and d be real numbers. Divide a fraction (a/b) by another fraction (c/d), we can multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of a fraction is obtained by swapping the numerator and denominator. So, the reciprocal of (c/d) is (d/c).
To divide (a/b) by (c/d), multiply the first fraction by the reciprocal of the second fraction:
(a/b) ÷ (c/d) = (a/b) x (d/c)
Multiplying the numerators and denominators:
(ad) / (bc)
Therefore, the result of (a/b) divided by (c/d) is (ad) / (bc).
Here, 2/5 divided by 8/15
⇒ 2/5 ÷ 8/15
⇒ 2/5 × 15/8
⇒ 30/40
⇒ 3 /4
Therefore, The solution of 2/5 divided by 8/15 in its simplest form is,
⇒ 3/4
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