Answer:
0.035 x 2^10
Step-by-step explanation:
(0.035). * (2^10) = (0.035) * (1,024) = 35.84
NO LINKS!!!
Consider the interval.
(-∞, 9]
State whether the interval is bounded or unbounded.
a. bounded
b. unbounded
Represent the interval with an inequality
a. x > 9
b. x≥ 9
c. x≥-9
d. x < 9
e. x ≤ 9
Sketch the graph
Answer:
a. unbounded
e. x ≤ 9
Step-by-step explanation:
The interval means all real numbers less than or equal to 9.
Since all numbers to negative infinity are included, it is unbounded.
a. unbounded
e. x ≤ 9
A sketch looks like a number line with a solid dot at 9 and an line pointing left with an arrowhead at the left pointing left.
Answer:
b. unbounded
e. x ≤ 9
Step-by-step explanation:
Interval notation
( or ) : Use parentheses to indicate that the endpoint is excluded.
[ or ] : Use square brackets to indicate that the endpoint is included.
A bounded interval is an interval that includes both its endpoints.
For the interval (-∞, 9]:
The endpoint -∞ is not included.The endpoint 9 is included.Therefore, the given interval is unbounded.
Inequality notation
< means "less than"> means "more than"≤ means "less than or equal to"≥ means "more than or equal to"Therefore, the given interval is represented by the inequality x ≤ 9.
To sketch the graph on a number line:
Place a closed circle at 9.Shade to the left of the closed circle.To sketch the graph on a coordinate plane:
Plot a solid line at x = 9.Shade to the left of the line.A man is three times as old as his daughter. If the difference in their ages is 36 years, find the ages of the father and daughter.
Answer:
man's age = 54
daughter's age = 18
Step-by-step explanation:
x = man's age
y = daughters age
x = 3y
x - y = 36
substitute for x:
3y -y = 36
2y = 36
y = 18
x = 54
If a man has a daughter who is three times his age. The father and daughter will be 54 and 18, respectively, assuming their ages are 36 years distant.
What is an equation?Equations are statements that affirm the equivalence of two expressions that are joined by the equals symbol "=". An equal sign ("=") links two expressions together to form an equation. The two expressions on each side of the equals sign are referred to as the "left-hand side" and "right-hand side" of the equation.
It is given that, A man is three times as old as his daughter. If the difference in their ages is 36 years,
We have to find the ages of the father and daughter.
Suppose the age of the father and daughter will be x and y respectively.
If the man is three times as old as his daughter,
x = 3y
If the difference in their ages is 36 years
x - y = 36
Put the value of x as,
3y -y = 36
2y = 36
y = 18
x = 54
Thus, if a man has a daughter who is three times his age. The father and daughter will be 54 and 18, respectively, assuming their ages are 36 years distant.
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8x - 4 < - 12 or 8x + 7 >23 i need help to find answer
Answer:
x>4/3 and x<1
Step-by-step explanation:
8x-4 < -12
8x<-12+4
x<8/8
x<1
8x+7> 23
8x>23-7
x>12/8
simplify : x>4/3
PLEASE HELP PLESD PLED
Answer:B
Step-by-step explanation: ok its B because i need some $$$
Answer:
D and E
Step-by-step explanation:
The question asks which one would always form an image that is congruent to the pre-image.
Note that Translation, Reflection, and Rotation do not change the size or shape of the pre-image while Dilation will change the size of your pre-image.
Therefore, the most likely answer would be options D and E that do not include dilation in their series of transformations so the image will not change its size making it congruent to the pre-image.
Why do you think people who are good at math are usually successful on their jobs?
Question content area top
Part 1
There are ten bird baths in a park. On the first day of spring, the bird baths are filled. Several weeks later, the overall change in the water level is found. The results are shown in the table. What is the range of the data?
The range of the given data would be 3.2 which is determined by the difference between the maximum value and the minimum value of data.
What is the data's range?The difference between the largest value of the data and the minimum value of the data is measured as the range of the data.
The information provided in the table is:
{ 1.5, -1.1, -1.5, 2.9, 1.6, -2.5, -0.3, 0.9, 2.7, -1.8 }
Find the highest value and the smallest value of the data to determine the range of the data.
based on the table provided,
The highest value of the data is 2.9.
The smallest value of the data is -0.3.
Thus, the data's range would be as follows:
Both the data's maximum and minimum values are presented.
⇒ 2.9 - (-0.3) (-0.3)
⇒ 2.9 + 0.3
Apply the addition operation in mathematics.
⇒ 3.2
Consequently, the provided data's range would be 3.2
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Differential Equations Dilemma
Show directly that the given functions are linearly dependent on the real line. That is, find a nontrivial linear combination of the
following functions that vanishes identically.
f(x) = 4x, g(x) = 2x², h(x) = 8x-12x²
Enter the non-trivial linearcombination.
(16)4x + (__)2x²+ (__)(8x-12x²) = 0
The equation with nontrivial linear combination is (16)4x + ( -48 )2x²+ (-8 )(8x-12x²) = 0
We can solve this problem following some steps.
Let's assume the value is A for blank one and it is B for blank two.
Now we can rewrite the equation as,
(16)4x + (A) 2x²+ (B)(8x-12x²) = 0
Or, 64x + 2Ax² + 8Bx - 12Bx² = 0
After rearrangement, we can write this equation as,
x ( 64 + 8B) + x²( 2A - 12B) = 0
We can consider the whole equation as zero, only when the coefficient of both x and x² is zero, To complete a nontrivial combination, we have to write,
∴ ( 64 + 8B) = 0 [ Coefficient of x ]
Or , 8B = -64
Or, B = -64/8 = -8
Again following the previous concept we can also write, ( 2A - 12B ) = 0
[ Coefficient of x² ]
Now, we should put the value of B = -8
∵ ( 2A - 12B ) = 0
Or, 2A + 96 = 0
Or, 2A = - 96
Or, A = - 48
So, the value of A is -48, and the value of B is -8
Now we can conclude,
(16)4x + ( -48 )2x²+ ( -8 )(8x-12x²) = 0
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Two different students decide to compare their businesses. Scooter makes his own t-shirts,
while Karissa does computer repairs. For both models, x represents the number of sales made
each month and f(x) represents total money for each individual. The two functions below model
their respective businesses:
Scooter: f(x) = 200 + 15x
Karissa: f(x) = 80 + 35x
a. Describe what the slope and y intercept represent for both models based on the context.
Compare the two functions. What is one statement you could say about each?
b.
C.
In one month, Scooter sells 20 shirts. That same month, Karissa does 12 repairs. Who had
the better month?
a) Comparing the two functions, Scooter's business has a lower slope of 15 compared to Karissa's business with a slope of 35. b) Both Scooter and Karissa earned a total of $500 in that month. Therefore, they had an equal month in terms of total money earned.
How to Describe what the slope and y intercept represent for both models based on the contexta) In the context of Scooter's business, the slope of the function f(x) = 200 + 15x represents the rate at which the total money earned increases with each additional sale. Each unit increase in x (number of sales) results in an increase of $15 in total money earned. The y-intercept of 200 represents the initial amount of money Scooter already had before making any sales.
In the context of Karissa's business, the slope of the function f(x) = 80 + 35x represents the rate at which the total money earned increases with each additional repair job. Each unit increase in x (number of repairs) results in an increase of $35 in total money earned. The y-intercept of 80 represents the initial amount of money Karissa already had before doing any repair jobs.
Comparing the two functions, Scooter's business has a lower slope of 15 compared to Karissa's business with a slope of 35. This means that Karissa's business earns more money per repair job compared to Scooter's business per t-shirt sale.
b) To determine who had the better month, we need to calculate the total money earned by each individual based on the given sales/repairs.
For Scooter, with x = 20 (number of shirts sold):
f(x) = 200 + 15x
f(20) = 200 + 15 * 20
f(20) = 200 + 300
f(20) = 500
For Karissa, with x = 12 (number of repairs):
f(x) = 80 + 35x
f(12) = 80 + 35 * 12
f(12) = 80 + 420
f(12) = 500
Both Scooter and Karissa earned a total of $500 in that month. Therefore, they had an equal month in terms of total money earned.
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How many classes would Gina need to take for the total cost to be the same at both dance studios
Answer:
How many classes is Gina taking?
Answer:
10
Step-by-step explanation:
right on edge
A cuboid in which the sum of its dimensions is 9 cm., then the sum of its edge lengths - cm. (18 or 27 or 36 or 45)
The number of sides or edges on a cuboid are twelve, and the sum of the
edges is the sum of the twelve edges.
The sum of the edge lengths = 36 cm
Reasons:
The given parameters are;
The sum of the dimension of the cuboid = 9 cm
Required:
The value sum of the dimension of the edges the cuboid.
Solution:
The dimensions of a cuboid are; Length, l, width, w, and height, h
We get;
l + w + h = 9
The number of times that each dimension appear = 4 times
4 edges with the same length as the height, h
4 edges with the same length as the width, w
4 edges with the same length as the length, l
The sum of the edge lengths is therefore; Sum Edges = 4·l + 4·w + 4·h
Which gives;
Sum Edges = 4·l + 4·w + 4·h = 4 × (l + w + h) = 4 × 9 = 36
The sum of the edge lengths = 36 cm.
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How many eighths are equivalent to 1/2?
Answer:
4/8ths
Step-by-step explanation:
2/8ths = 1/4
2/4ths = 1/2
NEED HELP ASAP Which side lengths form a right triangle?
Answer:
the answers is B, 3,4,5
Step-by-step explanation:
i need the answer to this question
Answer:
Area of annulus is 40.85cm² to 2d.p
Step-by-step explanation:
Area of shaded part=Area of bigger circle -Area of smaler circle
Area of annulus= πR²- πr²= π(R²-r²)
A=3.142(7²-6²)
A=3.142(49-36)
A=3.142×13
A=40.846cm²
A=40.85cm² to 2d.p
4 more than the quotient of 24 and a number m
Please help!
Calculate the circumference of the circle.
Iscm
13 cm
12 cm
1. 20.41 cm
2. 530.66 cm
3. 40.82 cm
4. 37.68 cm
Answer:
40.82 cm
Step-by-step explanation:
To calculate the circumference, multiply the radius by pi(3.14) by 2 and the radius.
C=2πr
C=2π(6.6)
approximately 40.84
40.82 and 40.84 are very close to one another!
Which equations are equivalent to −4(3d−2)−7minus, 4, left parenthesis, 3, d, minus, 2, right parenthesis, minus, 7 ?
A) −12d−15
B)12d−15
C)None of the above
Please help me !!!
Answer:
She/He is right it's C. Tysm!
The correct answer is:
A) −12d−15 (None of the options provided are equivalent to the given expression.)
How to determine the equivalentTo simplify the expression −4(3d−2)−7, we can apply the distributive property by multiplying -4 to each term inside the parentheses:
−4(3d−2)−7 = -4 * 3d + (-4) * (-2) - 7
This gives us:
-12d + 8 - 7
Combining like terms:
-12d + 1
So the expression is equivalent to -12d + 1.
Therefore, the correct answer is:
A) −12d−15 (None of the options provided are equivalent to the given expression.)
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What graph would best display the data shown in the frequency table?
A. line plot
B. vertex-edge graph
C. histogram
D. stem-and-leaf graph
Answer:
histogram
Step-by-step explanation:
A student scored 82, 95, 90 and 87 on his first 4 tests. What would he
need to make on his 5th test to have an average 95.
Not gonna give an answer, sorry. Instead, I'll show you a similar example so you can be able to solve it.
An average test score is the sum of all the scores on an assessment divided by the number of test-takers.
For example, if three students took a test and received scores of 69, 87, and 92.
These numbers would be added together and then divided by three to get an average of 82.6.
I hope you know what to do now.
Answer:
Step-by-step explanation:
(82 + 95 + 90 + 87 + x) / 5 = 95 Add like terms on the left
(354 + x) / 5 = 95 Multiply by 5
354 + x = 95 * 5
354 + x = 475 Subtract 354 from both sides
x = 475 - 354
x = 121
On the first step, you need to add an x which represents the score he needs. You divide by 5 because that's how many scores there and and the 5 gives you an average.
I’m confused on questions 2 3 and 4
Answer:
x = 20
Step-by-step explanation:
60 = x+40
subtract 40 from both sides and you get
20 = x
so x = 20
Josiah ate dinner at a restaurant and his bill was $15.75. He wanted to leave a 15% tip. How much tip did he leave?
Group of answer choices
$2.36
$18.11
$1.50
$0.15
Hence, He had to pay $ 18.11 for the tip on a restaurant bill.
A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.
Josiah ate dinner at a restaurant and his bill was $15.75,
He wanted to leave 15% tip,
Then He had to pay,
=15.75+15 % of 15.75
=15.75 + 0.15*15.75
=18.11
Hence, He had to pay $ 18.11 for tip on the restaurant bill.
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Part A: Maci made $170 grooming dogs one day with her mobile dog grooming business. She charges $60 per appointment and earned $50 in tips. Write an equation to represent this situation and solve the equation to determine how many appointments Maci had.
Part B: Logan made a profit of $235 as a mobile groomer. He charged $75 per appointment and received $40 in tips, but also had to pay a rental fee for the truck of $10 per appointment. Write an equation to represent this situation and solve the equation to determine how many appointments Logan had.
Maci and 2 appointments and Logan had 3 appointments.
How many appointments did Maci and Logan have?The linear equation that represents the total amount earned by Maci is:
Total amount earned = (amount per appointment x number of appointments) + tips
$170 = ($60 x a) + $50
$170 = $60a + $50
$170 - $50 = $60a
$120 = $60a
a = $120 / $60
a = 2
The linear equation that represents the total amount earned by Logan is:
Profit = total revenue - total cost
Profit = (fee per appointment x number of appointments) + amount received in tips - (rental fee x number of appointments)
$235 = ($75 x a) + $40 - ($10 x a)
$235 = $75a + $40 - $10a
$235 = $65a + $40
$235 - $40 = $65a
$195 = $65a
a = $195 / 65
a = 3
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Type < or > to make this statement true -a___-b
The comparisons that are true are 11. -5 < 0 12. 9 > -8 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 19. 17 < 23 20. 18 > -36 and that is not true are 13. -7 = -7 (not true) 18. -32 > 4 (not true)
To make each statement true, write < or >. We need to compare two values for each statement to determine whether it is true or false.
To indicate that the first value is less than the second value, write <.
Alternatively, to indicate that the first value is greater than the second value, write >.
Below are the comparisons: 11. -5 < 0 12. 9 > -8 13. -7 > -7 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 18. -32 > 4 19. 17 > 23 20. 18 > -36
To determine the direction of inequality, we need to compare the values.
We used inequality signs such as > (greater than) or < (less than) to indicate which value is larger or smaller than the other.
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The correct question would be as
Write > or < to make each statement true.
11. -5 0
12. 9 -8
13. -7 7
14. 55 -75
15. -32 -24
16. 89 73
17. -58 -51
18. -32 4
19. 17 23
20. 18 -36
6x^2=-3x+1 to the nearest hundredth
The solutions to the quadratic equation 6x² = -3x + 1 to the nearest hundredth are -0.73 and 0.23.
What are the solutions to the quadratic equation?Given the quadratic equation in the question:
6x² = -3x + 1
To solve the quadratic equation 6x² = -3x + 1, we can rearrange it into standard form, where one side is set to zero:
6x² + 3x - 1 = 0
Now we can solve the equation using the quadratic formula, which states that for an equation in the form ax² + bx + c = 0, the solutions for x are given by:
\(x = \frac{-b \±\sqrt{b^2-4ac} }{2a}\)
Here; a = 6, b = 3, and c = -1.
Let's substitute these values into the quadratic formula:
\(x = \frac{-b \±\sqrt{b^2-4ac} }{2a}\\\\ x= \frac{-3 \±\sqrt{3^2-4\ *\ 6\ *\ -1} }{2*6}\\\\x = \frac{-3 \±\sqrt{9+24} }{12}\\\\x = \frac{-3 \±\sqrt{33} }{12}\\\\x = -0.73, \ x=0.23\)
Therefore, the values of x are -0.73 and 0.23.
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3 and 8 ?o?
What is the product of
Answer:
the product of 3 and 8? is 24
Answer:
24
Step-by-step explanation:
8+8=16
16+8=24
D
+
32°
41°
A
C
B.
O
mZB =" [?]
Answer:
what is the question? where is the diagram?
Malala is following this recipe for bread rolls.
She uses 300 g of flour.
How much of the other ingredients does she use?
Recipe: Makes 12 bread rolls
400 g flour
6 g salt
12 g yeast
48 mL oil
360 mL water
Answer:
When she uses 300g of flour
She will uses: 4.5 g salt
9 g yeast
36 ml oil
270 ml water
And she will make 9 bread rolls
Un profesor de Enseñanza Básica le indica a sus alumnos que escojan tres dígitos
diferentes del conjunto {1, 2, 3, 4, 5} y formen números mixtos colocando los dígitos
en el casillero . También les recuerda que la parte fraccionaria tiene que ser
menor que 1, por ejemplo
2
3
5
. ¿Cuál es la diferencia entre el mayor y el menor de los
números mixtos que se pueden formar?
Enseñanza Básica is the term used to describe the first level of education in the Chilean education system, which includes the first to eighth grades. A teacher of Enseñanza Básica asked his students to choose three-digit mixed numbers that can be formed.
A mixed number is a number that has both a whole number and a fraction component. To form three-digit mixed numbers, we need to have a whole number that is less than 100 and a proper fraction that has a denominator less than or equal to 99. Here are some examples:123 4/567 2/8109 1/2382 3/47There are a total of 900 three-digit numbers that can be formed using digits 1 to 9 without repetition. To find the number of three-digit mixed numbers that can be formed, we need to count the number of ways we can choose a proper fraction with a denominator less than or equal to 99. There are 99 possible denominators, and for each denominator, there are 98 possible numerators (excluding 0 and the denominator itself). Therefore, the total number of three-digit mixed numbers that can be formed is:900 x 99 x 98 = 8,334,600There are 8,334,600 three-digit mixed numbers that can be formed using digits 1 to 9 without repetition.For such more question on fraction
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The difference between the greatest and the least mixed numbers is 9.87 - 6.0789 ≈ 3.7911.
How to solveThe three digits different from {1, 2, 3, 4, 5} can be chosen from {0, 6, 7, 8, 9}.
The greatest mixed number is formed by placing the largest digit as the whole number and the remaining two digits as the fraction in descending order, i.e., 9 87/100 or 9.87.
The smallest mixed number is formed by placing the smallest non-zero digit as the whole number and the remaining two digits as the fraction in ascending order, i.e., 6 07/90 or 6.0789.
The difference between the greatest and the least mixed numbers is 9.87 - 6.0789 ≈ 3.7911.
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The Question in English
A Basic Education teacher tells his students to choose three digits
different from the set {1, 2, 3, 4, 5} and form mixed numbers by placing the digits
in the locker It also reminds them that the fractional part has to be
less than 1, for example
2
3
5
. What is the difference between the greatest and the least of the
mixed numbers that can be formed?
Victoria has 9.7 more feet of rope than Gerri. Victoria has 35.3 feet of rope. Which equation and solution represent the number of feet of rope, x, Gerri has?1 x−9.7=35.3x=45x - 9 . 7 = 35 . 3, x = 452 x+9.7=35.3x=45x + 9 . 7 = 35 . 3, x = 453 x+9.7=35.3x=25.6x + 9 . 7 = 35 . 3, x = 25 . 64 x−9.7=35.3x=25.6
Given:
Victoria has 9.7 more feet of rope than Gerri. Victoria has 35.3 feet of rope.
Required:
To find the equation and solution represent the number of feet of rope.
Explanation:
Let x be the Gerri rope.
Victoria has 9.7 more feet of rope than Gerri.
\(9.7+x\)Victoria has 35.3 feet of rope,
\(\begin{gathered} 9.7+x=35.3 \\ x=35.3-9.7 \\ x=25.6 \end{gathered}\)Final Answer:
The third option is correct.
\(\begin{gathered} x+9.7=35.3 \\ x=25.6 \end{gathered}\)Jackson takes a marker and draws an arrow at the top of his yo-yo, pointing it toward the string when it is all wound up. The location of the arrow on the yo-yo can be represented by a cosine function.
The function that represents the location of the arrow is f(x)=2cos(8πx)+2, where x represents time in seconds, and f(x) represents the vertical distance in inches that the arrow is from the lowest point on the yo-yo.
How many times does the yo-yo rotate in 1 second?
4 times
8π times
16 times
8 times
Please explain how u got ur answer
The number of times the yo-yo rotate in 1 second is 8π times. Option B
What is a function?A function can be defined as defined as an expression, rule or law that explains the relationship between two variables.
These variables are;
The dependent variableThe independent variableFrom the information given, we have that;
f(x) = 2cos (8πx) + 2
Where;
f(x) represents the vertical distance in inches that the arrow is from the lowest point on the yo-yo x represents time in secondsIf the value of x is 1 second, then
f(x) = 2cos(8π) + 2
Hence, the value is 8π times
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Which statement is true?
−2.4<−2.40
−2.4>−2.40
−2.4≤−2.40
−2.4≠−2.40
Answer:
The third answer is correct
Step-by-step explanation:
Answer:
The person above me is correct
Step-by-step explanation: