The value of b after solution of the expression, b-14 = -10, is 4.
According to the question,
We have the following expression:
b-14 = -10
Now, we will first add 14 on both sides of the above equation:
b = -10+14
We know that when two integers are of different signs then the smaller number is subtracted from the larger number but the sign in the result is of the larger number.
So, in this case, 14 is larger than 10 then the result will be positive.
So, we have the following expression:
b = 4
Hence, the correct option is B.
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Given the polynomial equation: x^3-7x^2-x+7=0
1. Make a list of possible rational roots
2. Test the possible roots until you find one that produces a reminder of 0. Show your work.
3. Write the resulting quadratic function.
4. Factor or use the quadratic formula to find the final 2 roots.
From the chart, estimate (roughly) the number of transistors per IC in 2016. Using your estimate and Moore's Law, what would you predict the number of transistors per IC to be in 2040?
Please explain
The estimates for the number of transistors per IC, using an exponential function, are given as follows:
2016: 16,777,216,000.2040: 6.87 x 10¹³.What is the format of an exponential function?An exponential function has the general format presented as follows:
[tex]y = ab^\frac{x}{n}[/tex]
In which the parameters of the function are listed as follows:
a is the initial value of the function.b is the rate of change of the function.n is the period relative to the rate of change.By Moore's Law, the number of transistors per IC doubles every two years, hence the values of parameters b and n are both two, that is:
b = 2, n = 2.
We take 1972 as the reference year, when the amount was of 4000 transistors per IC, hence the value of parameter a is given as follows:
a = 4000.
Thus the equation is:
[tex]A(t) = 4000(2)^{\frac{t}{2}}[/tex]
Giving the number of transistors per IC in t years after the reference year of 1972.
2016 was 44 years after 1972, hence the estimate for the amount of transistors by IC was of:
[tex]A(44) = 4000(2)^{\frac{44}{2}} = 16,777,216,000[/tex]
2040 will be 68 years after 1972, hence the estimate for the amount of transistors by IC is of:
[tex]A(68) = 4000(2)^{\frac{68}{2}} = 6.87 \times 10^{13}[/tex]
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The 23 members of the westview journalism club are trying to raise at least 2,100 to buy new publishing desgin software. The members have already raised 1180. How much should each student still raise, on average, to meet the goal?
PLEASEEEE
The amount that each student will have to raise on average in order to meet the goal would be $40
How to find the amount to raise?First, find the remaining amount that the members of the Westview Journalism Club are trying to raise:
= Amount to raise - Amount already raised
= 2, 100 - 1, 180
= $920
The amount that each student in the club will have to raise on average can be found as:
= Amount remaining to be raised / Number of students in the Westview Journalism Club
= 920 / 23
= $40
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Find three consecutive even integers such that the sum of the least integer and the middle integer is 24 more than the greatest integer.
Answer:
26, 28, 30
Step-by-step explanation:
there is a difference of 2 between consecutive even integers
let the integers be n , n + 2 , n + 4 , then
n + n+ 2 = n + 4 + 24
2n + 2 = n + 28 ( subtract n from both sides )
n + 2 = 28 ( subtract 2 from both sides )
n = 26
n + 2 = 26 + 2 = 28
n + 4 = 26 + 4 = 30
the 3 consecutive even integers are 26 , 28 , 30
(-9,-4); y=-3x+3
Write an equation for the line in slope-intercept form.
LCD for 9/8 and 11/12
The Least Common Denominator (LCD) of 9/8 and 11/12 is 24.
The two given fractions are -
9/8 and 11/12
We have to find out the Least Common Denominator (LCD) of 9/8 and 11/12.
Firstly, we have to check if we can simplify the two given fractions. In this case, we have 9/8 and 11/12 which cannot be simplified further.
Now, we have to multiply the denominators with natural numbers until they there is a first common number in the denominators of the two given fractions.
Multiplying 8 with 2 gives 16. However, there 16 is not a multiple of 12,
Multiplying 8 with 3 gives 24. 12 when multiplied with 2 also gives 24.
So, the Least Common Denominator (LCD) of 9/8 and 11/12 is 24.
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4. Which of the following exponential functions matches the graph
←
a.
b.
(-1, 10)
11
+
)
5
(0, 2)
1
5
2 4
X
C.
y=2
5
d. y = 2(5)*
X
The equation y=2(1/5)ˣ is satisfy the graph with points (-1,10) and (0,2).
Given that,
In the picture we have a graph with two points (-1,10) and (0,2).
We have to find the equation of the graph from the given equation.
Basic Functions Graphing. if possible, identifying the shape. A line would be the graph of a linear function of the type f(x) = ax + b, for instance; a parabola would be the graph of a quadratic function.
We check by substituting the points in the equation of the option a,b,c and d.
The option c.
y=2(1/5)ˣ
The point (-1,10)
10=2(1/5)⁻¹
10=2(5)
10=10
The point (0,2)
2=2(1/5)⁰
2=2(1)
2=2
Therefore, The equation y=2(1/5)ˣ is satisfy the graph with points (-1,10) and (0,2).
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Which of these is a factor in this expression
con tubos de 4,5 metros de largo se desea conducir agua a lo largo de 18 km. ¿cuantos tubos serán necesarios?
Answer:
Serán necesarios:
4000 tubos
Step-by-step explanation:
1 km = 1000 metros
18 km = 18*1000 = 18000 metros
Entonces:
18000/4.5 = 4000
Find the area of a rectangle with dimensions
11/12 in x 1/8 in.
The area of the rectangle is 11/96 in²
How to determine the area of the rectangle?In this question, we have the following parameters
Dimensions of rectangular area: 11/12 in x 1/8 in.
The area of a rectangle is the products of its dimensions
i.e. Area = products of dimensions
This implies that
Area = Length x Width
Substitute the known values in the above equation, so, we have the following representation
Area = 11/12 in x 1/8 in
Evaluate
Area = 11/96 in²
Hence, the rectangle area is 11/96 in²
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900 students attend Ridgewood Junior High School. 2% of students bring their lunch to school everyday. How many students brought their lunch to school on Thursday?
The percentage is calculated by dividing the required value by the total value and multiplying it by 100.
The number of students who brought lunch on Thursday is 18 students.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying it by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
Number of students = 900
Number of students that brought lunch = 2% of 900
The number of students who brought lunch on Thursday.
= 2% of 900
= 2/100 x 900
2 x 9
= 18 students.
Thus,
The number of students who brought lunch on Thursday is 18 students.
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Sam's lunch account was-$2.56 and he got lunch today.If lunch is $2.36, what is his balance?
Answer:
-$4.92
Step-by-step explanation:
-$2.56 - $2.36 is the same as 2.56 + 2.36 2+2=4 and 56+36=92 put them together and add a negative sign and you have your answer
80 percent increased by 30 percent is what percent of 80
30% of 80% is 24% and the resulted percent will be 104% when 80% is increased by 30%.
What is fraction?A fraction is a portion of a whole or, more broadly, any number of equal pieces. In ordinary English, a fraction represents the number of pieces of a specific size, such as one-half, eight-fifths, or three-quarters. A fraction is a portion of a larger total. The number is stated in arithmetic as a quotient, which is the numerator divided by the denominator. Both are integers in a simple fraction. A complicated fraction contains a fraction in either the numerator or the denominator.
Here,
30% of 80%
=30*100(80*100)*100
=30*80/100
=24%
When 80% is increased by 30%, the resultant percent is 104% because 30% of 80% is equal to 24%.
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One group of children has 15 red blocks and 45 green blocks. Another group of children has 30 red blocks and 90 green blocks. Which proportion correctly describes the relative amounts of each color?
A, 15/45 = 30/90
B, 15/45
C, 1/3
D, 15/45 = 90/ 30
Which set of side lengths will NOT create a triangle?
Responses
8, 9, 10
2, 5, 8
10, 15, 20
10, 14, 18
Step-by-step explanation:
8,9,10 would not create a Triangle
Learn at brainlyA right triangle has a leg length of square root of 6 and a hypotenuse length of 7. Determine the length of the other leg of the right triangle. 3 36 square root of 39 square root of 43
Answer:
√43
Step-by-step explanation:
Implement the Pythagorean formula to solve for sides of a right triangle: a^2 + b^2 = c^2, where "a" and "b" are the legs and "c" is the hypotenuse.
a = √6 and c = 49
√6^2 + b^2 = 49
6 + b^2 = 49
b^2 = 43
b = √43
Answer:
The square root of 43
Step-by-step explanation:
I did this in class the other day
The revenue for a business, as a function of units produced, x, is shown below by R(x). C(x) represents the cost of producing x units. Calculate the profit function and then determine how many units must be produced for the business to break even.
R(x) = 24x
C(x) = 17x + 161
By calculating profit function to break even, the company needs to produce 23 units.
What is meant by profit function?The amount received when a good or service is sold for a price is referred to as revenue. The cost of a product or service is the amount spent on its sale. Profit is defined as the difference between revenue and costs. A profit function is a relationship that shows the difference between the cost and revenue functions. The graph of a profit function can show the best combination of revenue and costs to produce the most profit. This is known as optimization.
Profit is defined as revenue less costs. This means that there is a profit function, P(x).
P(x) = R(x) - C(x)
Breaking even is the point at which revenue begins to exceed costs. It is thus the point at which P(x) = 0. Because these are all linear functions, you know that the business will be profitable after that point.
P(x) = 0
R(x) - C(x) = 0
R(x) = 24x
C(x) = 17x + 161
From the above equation,
R(x)=C(x)
24x=17x+161
7x=161
x=161/7
x=23
For the company to break even, 23 units must be produced.
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Tiana is buying party favors for the guests at her 12th birthday party. Each party favor costs $2.39. If she buys 15 party favors, how much money does she spend?
Answer:
$35.85
Multiply 2.39 * 15
A fitted linear regression equation is y = 6-2x. If × - 3 and the corresponding observed value of y = 2, the residual at this observation is:
The value of the residual is 2.
We are given a fitted linear regression equation. The equation is given below.
ŷ = 6 - 2x
The x-value for the data points is 3, and the corresponding y-value is 2. We have to find the value of the residual.
We will substitute the given values in the equation of the regression line.
ŷ = 6 - 2x
ŷ = 6 - 2(3)
ŷ = 6 - 6
ŷ = 0
Thus, the predicted value of y in the given regression equation is 0. The actual value of y is 2. The residual is the difference between the actual and predicted values of y. Let the residual be denoted by the variable "r".
r = y - ŷ
r = 2 - 0
r = 2
Hence, the residual is 2.
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Tommy bounces a basketball 25 times in 45 seconds, At that rate, approximately how many
times will pat bounce the ball in 405 seconds?
Tommy will pat bounce the ball 225 times in 405 seconds which was found using the given data.
What is the unitary method's formula?The unitary method's formula is to identify the value of a single unit, then multiply that value by the number of units to obtain the required value. However, this approach is useful for determining the value of a unit from the value of a multiple, and hence the value of a multiple.Given: In 45 seconds, Tommy bounces a basketball 25 times.
Number of times he will pat bounce the ball in 405 seconds will be given as follows:
= (405 × 25)/45
=225
Therefore, Tommy will pat bounce the ball 225 times in 405 seconds which was found using the given data.
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Nina is buying 8 avocados. each avocados weighs 8 oz. how much will they cost her if avocados cos $2.99 per pound
If avocados costs $2.99per pound, Nina will be paying $1.495
How to solve for the amount Nina would payThe information given in the problem shows that
avocado's have their price in pounds hence we convert the quantity given to pounds
1 pound = 16 ounces
? = 8 ounces
cross multiplying
8 * 1 = ? * 16
? = 8 / 16
? = 1/2
hence 8 ounces is 0.5 pounds
Then the cost of 0.5 pounds of avocados will be solved for
1 pounds = $2.99
0.5 pounds = ?
cross multiplying
? = 0.5 * 2.99
? = $1.495
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ordered pairs solution for 7x+2y>-26
The ordered pairs that are solutions of the inequality are of the form:
(x, y > -3.5*x - 13)
Which ordered pairs are solutions of the inequality?
Here we have the inequality:
7x + 2y > -26
The solutions of this are the pairs (x, y) that, when replaced on the inequality, make it true.
If we isolate y on the inequality we get:
7x + 2y > -26
2y > - 26 - 7x
y > (-26 - 7x)/2
y > -3.5*x - 13
Then the ordered pairs are of the form:
(x, y > -3.5*x - 13)
For example, suppose that we fix the value of x in 0, then:
y > -3.5*0 - 13
y > -13
So the points of the form (0, y > -13) are solutions.
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Sally can paint a room in 5 hours while it takes Steve 3 hours to paint the same room. How long would it take them to paint the room if they worked together?
It would take ___ hours
(Type an integer or decimal rounded to one decimal place as needed)
Answer:
3
Step-by-step explanation:
3Tap on a clip to paste it in the text box.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Use the edit icon to pin, add or delete clips.
0/1
At the carnival, there is a game with 600 ducks. If 75% of the ducks have stars on the
bottom, how many ducks have stars? Make sure to label your answer in ducks
Answer:
450 ducks
Step-by-step explanation:
75% can be rewritten as 75/100
75/100 of 600 can be rewritten as 75/100 * 600
Solve 75/100 = 0.75
0.75 * 600 = 450
Select all statements that are true about the graph of h (x) = –3 |x – 1| + 4.
A. Its vertex is at (–1, 4).
B. Its vertex is at (1, 4).
C. Its line of symmetry is x = –1.
D. Its line of symmetry is x = 1.
E. It crosses the y-axis at (0, 1).
F. It crosses the y-axis at (0, 4).
The statements that are true according to the equation h (x) = –3 |x – 1| + 4. are
B. Its vertex is at (1, 4)D. Its line of symmetry is x = 1E. It crosses the y-axis at (0, 1)How to find the functions as requiredThe graph of the described function is attached
The vertex is marked (1, 4) in the graph
The y intercept is marked (0, 1) in the graph
Also from the equation, the y intercept is solved by
h (x) = –3 |x – 1| + 4
plugging the value of x
h (x) = –3 |0 – 1| + 4
h (x) = –3 |– 1| + 4
removing the modulus sign
h (x) = –3 * 1 + 4
h (x) = –3 + 4
h (x) = 1
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Which of the following choices is the y-intercept of the equation -3x - 2y = 10?
3
-3
5
-5
(18−42+2)21÷4⋅12 what does it equal
2
32
64
128
The value of (18−42+2)21÷4⋅12 equal to -1386
Algebra is a branch of mathematics that assists in the representation of problems or situations through the use of mathematical expressions. In algebra, we use numbers with definite or fixed values such as 2, -1, 0.33, and so on. In algebra, an algebraic expression is composed of integer constants, variables, and the basic arithmetic operations of addition(+), subtraction(-), multiplication(), and division(/). 5x + 6 is an example of an algebraic expression. 5 and 6 are fixed numbers, while x is a variable.
Given that
(18−42+2)21÷4⋅12
Now we have to simplify the equation
(20-42)21/ 4 x 12
(-22)21/ 4 x 12
= (-462/4) x 12
= - 115.5 x 12
= - 1386
Therefore the value of (18−42+2)21÷4⋅12 equals to -1386
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Which expression is equivalent to 9 + 4y + 5 + 22 + 8?
Answer: The answer is 11x+4y+13
If ΔABC ≅ ΔFDE, which of the following statements is true? (1 point)
∠A ≅ ∠E
∠B ≅ ∠F
∠A ≅ ∠D
∠B ≅ ∠D
What sorts of follow up questions about the statistics might you ask that person in order to obtain the data needed to make a decision about the validity of that statement? Be sure to use concepts and vocabulary from this week to guide your response.
The follow up questions about the statistics that you might ask in order to obtain the data needed to make a decision about the validity of that statement include:
How was the information gathered?Was the experiment under control?How big were the control and placebo groups?Was it a double-blind or blind test?Were extreme outliers removed from the data before the experiment was run?What is statistics?Statistics is the science that studies and develops methods for collecting, analyzing, interpreting, and presenting empirical data.
Statistics is the study and manipulation of data, which includes methods for gathering, reviewing, analyzing, and drawing conclusions from data. Statistics is divided into two categories: descriptive statistics and inferential statistics. Such questions can be asked to gain a better understanding of the statement's validity.
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