Answer:
22
Step-by-step explanation:
In the series 14 + 6 + (–2) + (–10) + . . . + (–154)
The gap between entities is 8.
Therefore number of entities between -10 and -154 = (154 - 10)/8 =18
Total number of terms in the series = 18 + 4 = 22
There are 22 terms in the given arithmetic series.
What is arithmetic sequence?An arithmetic sequence is sequence of integers with its adjacent terms differing with one common difference.
If the initial term of a sequence is 'a' and the common difference is of 'd', then we have the arithmetic sequence as:
a, a + d, a + 2d, ... , a + (n+1)d, ...
Its nth term is
T_n = a + (n-1)d
(for all positive integer values of n)
In the given arithmetic series 14 + 6 + (–2) + (–10) + . . . + (–154)
The common difference between entities is 8.
Therefore, the number of entities between -10 and -154
= (154 - 10)/8
=18
The Total number of terms in the series = 18 + 4 = 22
Hence, there are 22 terms in the given arithmetic series.
Learn more about arithmetic sequence here:
https://brainly.com/question/3702506
#SPJ2
Write an equation in standard form of the line that passes through (1, 3) and has a slope of –4.
Answer:
work is shown and pictured
[3]
(b)
Calculate the values of c for which 2x2 – 3x + c>-2 for all values of x.
Answer:
c > -7/8
Step-by-step explanation:
Add 2 for an inequality that compares to zero:
2x^2 -3x +(c+2) > 0
This will be true when the discriminant is negative. For the quadratic ...
ax^2 +bx +c
the discriminant is ...
b^ -4ac
We want this to be negative:
(-3)^2 -4(2)(c+2) < 0
9 -8(c +2) < 0
9 -8c -16 < 0
-7 < 8c
-7/8 < c
The given inequality will be true for all values of c greater than -7/8.
When the length of each leg is 3
units, the ratio of the hypotenuse
to the leg is:
Answer:
√2
Step-by-step explanation:
The ratio of the hypotenuse to the leg in any isosceles right triangle is √2.
_____
Perhaps you want to figure the hypotenuse, then compute the ratio.
c = √(a²+b²) = √(3² +3²) = √18 = 3√2
Then the ratio to a leg is ...
c/a = (3√2)/3 = √2
Answer:
1.4
Step-by-step explanation:
i just did it.
Factorise - x^(3)-3x^(2)-10x+24 ( plss tel method also)
Step-by-step explanation:
I think we can do it in this way
x3 - 3x2 - 10x + 24
x2(x - 3) - 2(5x + 12)
100 PTS PLEASE HELP PLEASEEE
Answer:
8
Step-by-step explanation:
The square root of a number is what number multiplied by itself can result in the product of this.
For example, in this question you multiply 8 by itself to get 64
8*8=64
So, the square root is 8
Solve x^2 -24x = -80 by completing the square
Answer:
(20,4)
Step-by-step explanation:
Answer:
{4,20}
Step-by-step explanation:
b on edg got 100%
A lunch menu consists of 6 different sandwiches, 4 different soups, and 4 different drinks. How many choices are there for ordering a sandwich, a bowl of soup, and a drink?
You roll a number cube once.
What is the theoretical probability that you roll a 5 or 2? Enter your answer as a simplified fraction.
The probability that you roll a 5 or 2 is____
Answer:
The probability that you roll a 5 or 2 is [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question:
There are 6 total outcomes(all numbers from 1 to 6).
The desired are 2, that is, rolling 2 or rolling 5.
p = 2/6 = 1/3
The probability that you roll a 5 or 2 is [tex]\frac{1}{3}[/tex]
Answer:5/2
Step-by-step explanation:
Rearrange the equation so u is the independent variable.
-12u + 13 = 8w - 3
w = __
Answer:
the answer is -12u/3 + 2
Answer:
W=-3/2u+2
Step-by-step explanation:
Step 1: Flip the equation.
8w-3=-12u+13
Step 2: Add 3 to both sides.
8w-3+3=-12u+13+3
8w=-12u+16
Step 3: Divide both sides by 8.
8w/8=-12u+16/8
W=-3/2u+2
Hope I helped
2. If the width of a pool is 60 feet and the perimeter is 200 feet, how long is the pool?
Answer:
40 feet
Step-by-step explanation:
Have a nice day
The number of milligrams of a drug in a person’s body after t hours is given by the function f(t) = 10e-0.3t. When will the amount of the drug be approximately 0.2 milligrams?
Answer:
amount of the drug becomes approximately equal to 0.2 milligrams after 13.04 hours
Step-by-step explanation:
Given: The function [tex]f(t)=10e^{-0.3 t}[/tex] represents number of milligrams of a drug in a person’s body after t hours
To find: time after which amount of the drug becomes approximately 0.2 milligrams
Solution:
[tex]f(t)=10e^{-0.3 t}\\0.2=10e^{-0.3 t}\\\frac{0.2}{10}=e^{-0.3 t}\\\frac{2}{100}=e^{-0.3 t}\\\frac{1}{50}=e^{-0.3 t}\\[/tex]
As [tex]e^x=y\Rightarrow x=\ln y[/tex] ,
[tex]50=e^{0.3 t}\\0.3t=\ln 50\\t=\frac{\ln 50}{0.3}=13.04\,\,hours[/tex]
So, amount of the drug becomes approximately equal to 0.2 milligrams after 13.04 hours
Answer:
13 hours
Step-by-step explanation:
right on edmentum
Those in favor of using non-traditional tests (e.g., portfolios, essays, projects) to evaluate students say that their use is much fairer than using standardized tests only. This is because it means that students who are willing to work hard but who perform poorly in standardized tests will have a better chance of doing well. However, there are challenges in the use of non-traditional tests that cast doubt on their fairness. For example, it is difficult to determine if a student received any help from others in putting together his or her portfolio. In addition, there is a growing market for customized essays whereby students can pay someone else to write essays for them via the internet. At the moment, the only deterrent is a teacher's vigilance. Although teachers might be able to identify work which seems atypical for an individual student, they won't necessarily be able to conclude whether this is due to the student's hard work or due to assistance the student received from others.
Which one of the following conclusions is best supported by the passage above?
1.Use of traditional tests may not evaluate how hard a student is willing to work to get a good evaluation.
2.Challenges of the use of non-traditional tests mean that students should only be evaluated using standardized tests.
3.Use of non-traditional tests to evaluate students is not necessarily fairer than using standardized tests to evaluate students.
Answer: 1.Use of traditional tests may not evaluate how hard a student is willing to work to get a good evaluation
Step-by-step explanation:
Proponents of Traditional Tests argue that they are fairer because hard working students who may fail standadized tests may be able to pass them.
However, the text shows that that arguement has loopholes because a student could pass those Traditional testing methods by employing methods that are void of hard-work such as receiving help from other people or buying a customized essay over the internet.
Should this be the case then, Traditional tests may not be able to properly evaluate a student's hard work because one can not know if the submitted content was solely due to hard-work or if there was assistance from somewhere.
Answer:
3.Use of non-traditional tests to evaluate students is not necessarily fairer than using standardized tests to evaluate students.
Step-by-step explanation:
The Use of non-traditional tests to evaluate students is not necessarily fairer than using standardized tests to evaluate students because it is difficult to determine if a student received any help from others in putting together his or her portfolio, essay or project except if he is closely monitored by the teacher. Also a student may pay someone online to write a customized essay for him/her via the internet therefore it cannot be concluded whether it is due to the student's hard work or due to assistance the student received from others.
Which of these shapes is a parallelogram but not a square?
Select all that are true.
Answer: The top right and bottom right polygons are parallelograms and not squares.
Step-by-step explanation:
A parallelogram is a quadrilateral with two pairs of parallel sides opposing each other.
A square is a quadrilateral with two pairs of parallel sides opposing each other; however, all four sides must be equal and all angles must equal 90 degrees.
Any quadrilateral that is a parallelogram and not a square has angle measures that are not 90 degrees (or have unequal sides).
The top left image is neither. There are two sets of equal sides, but they are not parallel. The top right image is a parallelogram, as it has two pairs of parallel sides opposing each other. It is not a square, as the side lengths are unequal. The middle left image is neither. There are not two sets of parallel sides. The middle right image is a square and a parallelogram. All its sides are equal, and it has two sets of opposing parallel sides. The bottom left image is neither. It only has one set of parallel opposing sides, and they are not equal in length. (This is a trapezoid.)The bottom right image is a parallelogram, as it has two pairs of parallel sides opposing each other, and the side lengths are unequal.Only the top right and bottom right images are parallelograms and not squares.
The shapes that are parallelogram but not a square is the rectangle and the parallelogram. The rhombus is a square because the angles are 90°.
What is a quadrilateral?A quadrilateral is a polygon with four sides and four angles. A parallelogram is a quadrilateral with parallel and equal opposite sides.
A square is a quadrilateral in which all sides are equal, opposite sides are parallel and each angle measures 90 degrees.
The shapes that are parallelogram but not a square is the rectangle and the parallelogram. The rhombus is a square because the angles are 90°.
Find out more on quadrilateral at: https://brainly.com/question/16691874
PLS HELP!!!!!!!!!!!!!!
Answer: B
Step-by-step explanation:
The actual distances is 1.7 - ( -0.5)= 2.2
A 1.7- 0.5= 1.2 and the absolute value of 1.2 is 1.2
B 1.7- (-0.5) = 2.2
A right triangle has one angle that measures 59º. What is the measure of the other
acute angle?
Answer: 31°
Step-by-step explanation:
We know that a right triangle is equal to 180°. Since this is a right triangle, we know that one angle is 90°. Since we are given out other angle, it is very easy to find the missing angle.
180°=59°+90°+x
180°=149°+x
x=31°
The sum of the first 12 terms of a geometric sequence with 10 as the first term and a common ratio of 0.3 is __________.
Answer: 14.2638366937
Step-by-step explanation:
A geometric sequence is a sequence in which each term is multiplied by a number, called the common ratio, to get the next term.
So, if the first term of the geometric sequence is 10 and the common ratio is 0.3, the sequence would be 10, 0.3(10), 0.3 x 0.3 x 10... and so forth. This becomes:
10, 3, 0.9, 0.27, 0.081, 0.00243, 0.00729, 0.002187, 0.0006561, 0.00019683, 0.000059049, 0.0000177147...
You add these first 12 terms to get 14.2638366937.
pls check the attachment thank you
Insert a digit to make numbers that are divisible by 24 96__4
I need help please!!
Answer:
3/3/8
Step-by-step explanation:
Write this number in standard notation.
4.702 x 10
Answer:
47.02
Step-by-step explanation:
Since the exponent of the scientific notation is positive, move the decimal point 1 places to the right.
47.02
Answer:
0.0004702
Step-by-step explanation:
I need help on these 4 chooses.If you are able to help me i would appreciate it because i have been stuck on this for an hour or so.
The First choose is does not/does
The Second choose is 96/216/60
The Third choose is less/more
The Fourth choose is 106.5/194.25/25/50
Answer:
1. does (yes he can)
2. 216
3. more
4. 194.25
Step-by-step explanation:
Total wood
18 x 12 = 216
Maurice suggestion
10.5 x 10.5 = 110.25
Sides
10.5 x 2 inches x 4 sides = 84
84 + 110.25 = 194.25
216 - 194.25 = 21.75 extra
0.5x + 6 > 3
I don’t know how to solve
Answer:
x > -6
Step-by-step explanation:
Move 6 to the other side:
0.5x > -3
x > -6
Which choice correctly expresses the number below in scientific notation?
0.000607
Answer:
Correct answer is: E
Step-by-step explanation:
Which expression is equal to 45 x 4-734-27
45 = 4 0
Answer:
9(5x - 3) option (c)
Step-by-step explanation:
The question isn't clear as well as incomplete without the options. Since there are no options let's determine the answer of the following mathematical expression:
45x - 27
a) 9(3x - 5)
b) 3(12x + 7)
c) 9(5x - 3)
d) 5(7x + 30)
To determine which option is equivalent to 45x - 27, we would check each option by expanding the bracket. Apply BODMAS (stands for Bracket, Of, Division, Multiplication, Addition and Subtraction) after the expansion. That is multiply before you add or subtract.
a) 9(3x - 5) = 9×3x - 5×9
= 27x - 45
b) 3(12x + 7) = 3×12x + 3×7
= 36x + 21
c) 9(5x - 3) = 9×5x - 9×3
= 45x - 27
d) 5(7x + 30) = 5×7x + 30×5
= 35x + 150
From the expansion, only option C is equal to the given expression: 45x - 27
An isosceles triangle △ABC with the base BC is inscribed in a circle. Find the measures of angles of the triangle, if measure of arc BC is 102°.
Answer:
angle at A: 51°base angles: 64.5°Step-by-step explanation:
The measure of the inscribed angle BAC is half the measure of the intercepted arc BC, so is 102°/2 = 51°.
The base angles at B and C are the complement of half this value, or ...
90° -(51°/2) = 64.5°
The angle measures in the triangle are ...
∠A = 51°
∠B = ∠C = 64.5°
5/10 as a unit fraction
Answer:
its just 5/10, or 1/2 is it not
Step-by-step explanation:
What is the next step after using the distributive
property?
Answer:
If it's a simple equation such as 2 (x + y), the next step after applying the distributive property is to do the multiplication and simplify the terms.
But in solving an equation such as
2(x + 3) = 3(x + 1)
After applying the distributive property, the next step is to separate the variables to one side, like collecting like terms and then solving the now simplified equation.
Step-by-step explanation:
For a normal equation, the distributive property, also called the distributive law of division and multiplication helps to use the variable outside the bracket to multiply the sum of terms in the bracket. For example.
2 (x + y)
The distributive property enables us to say
2×x + 2×y = 2x + 2y
So, the next step after applying the distributive property is to simplify the equation.
But in solving an equation such as
2(x + 3) = 3(x + 1)
Applying the distributive property
2x + 6 = 3x + 3
We then operate variables, collect like terms on one side
6 - 3 = 3x - 2x
3 = x
x = 3
Hope this Helps!!!
Answer:
-102 + (-25.5)
Step-by-step explanation:
What is equalivent to 5=4z+13
Answer:
[tex]z = - 2[/tex]
Step-by-step explanation:
[tex]5 = 4z + 13 \\ 5 - 13 = 4z \\ - 8 = 4z \\ \frac{ - 8}{4} = \frac{4z}{4} \\ z = - 2[/tex]
All of the following statements about the standard normal probability distribution are true EXCEPT: a) the expected value is 0 b) the total area under the standard normal curve is 1 c) the standard deviation can assume any positive value d) the probability that z assumes values between -1 and 1 is 0.6826
Answer:
d) the probability that z assumes values between -1 and 1 is 0.6826.Step-by-step explanation:
In a standard normal probability distribution, the Z-value depends on the data set, the mean and the standard deviation, that means, it's a variable measure, it's not a constant, that's why the choice d is wrong.
On the other hand, the other choices are correct regarding standard normal probability distribution.
Therefore, the right answer is d.
Which statement is true?
A. -8xy and x+y are like terms.
B. -8xy and 9x are like terms.
C. -8xy and 9y are like terms.
D. -8xy and 9xy are like terms