Answer:
The sequence is an arithmetic sequence.
Common difference = 0.6
Step-by-step explanation:
Given
-2.8, -2.2, -1.6, -1.0
Required
State if it's an arithmetic progression
Also state its common difference
To know if a sequence is arithmetic or not, we simply check for common difference
Common difference is calculated by subtracting a lower term with its immediate higher time;
In other words
[tex]Common difference = T_2 - T_1 = T_3 - T_2 = T_4 - T_3 = ......[/tex]
Where T represent Term and the number represent their positions;
So, from the given above
[tex]T_1 = -2.8\\T_2 = -2.2\\T_3 = -1.6\\T_4 = -1.0[/tex]
Calculating [tex]T_2 - T_1[/tex]
[tex]T2 - T1 = -2.2 - (-2.8)\\T2 - T1 = -2.2 + 2.8\\T2 - T1 = 0.6\\[/tex]
Calculating [tex]T_3 - T_2[/tex]
[tex]T_3 - T_2 = -1.6 - (-2.2)\\T_3 - T_2 = -1.6 + 2.2\\T_3 - T_2 = 0.6[/tex]
Calculating [tex]T_4 - T_3[/tex]
[tex]T_4 - T_3 = -1.0 - (-1.6)\\T_4 - T_3 = -1.0 + 1.6\\T_4 - T_3 = 0.6[/tex]
Notice that all the above workings gave the same result;
This shows that the sequence is an arithmetic sequence.
The result of each workings above is the common difference
Common difference = 0.6
Which statement about the figures shown below is true?
PLS HEP ASP BEST GETS FOLLOW AND BRAINLIEST
Please hurry
What function is represented in the table?
Answer:
B. 3(2^x)
Step-by-step explanation:
3(2^x) is the only function that yielded the given outputs when the inputs were plugged in.
If the volume of the planter is 2,560 cubic inches,how tall is the planter
Answer:
Height of Planter = H = 20 in²
Step-by-step explanation:
As the planter is not given in the question, the question is incomplete.
First, lets complete the question by attaching the diagram related to this question.
(SEE THE ATTACHMENT)
Lets consider the right angled triangle that is formed at the top of the planter, as shown in the diagram attached.
The right angled triangle has a width of 16 inches and a heights of 16 inches as well.
We know that the Area of a triangle can be calculated by following formula:
[tex]A=\frac{1}{2}\cdot(width)\cdot(height)[/tex]
Substitute the values to find Area:
[tex]Area = \frac{1}{2}\cdot16\cdot16\\Area = 128 in^2[/tex]
We also know that the Volume of a triangular prism is given by:
[tex]Volume=(Area)\cdot(Height)[/tex]
Where
Area = Area of the face = 128 in²
Height = Height of the planter = H
Volume = 2560 in³
Substitute the values and solve for H:
[tex]2560=128\cdot{H}\\H=\frac{2560}{128}\\H=20in^2[/tex]
What is the value of log6255?
Answer:
1/4
Brainliest!Step-by-step explanation:
1/4 on my calculator
The value of log 5 to the base 625 is 1/4 .
How to find the value of logarithm with any base value -From the definition of logarithm , we know that if log a to the base b is equal to x , where a, b are non negative integer and x is an assumed positive integer then we have ,
∴ log a to the base b = x
⇒ [tex]a = b^{x}[/tex]
Thus we can take log 5 to the base 625 = x
∴ [tex]5 = 625^{x}[/tex]
From the above equation, we can get the value of x as 1/4
Thus the value of log 5 to the base 625 is 1/4
To learn more about properties of logarithm, refer -
https://brainly.com/question/12049968
#SPJ2
40 points to whoever can answer for me!
Answer:
x≤-3 2 ≤x<7
Step-by-step explanation:
(x^2+x-6) /(x-7) ≤0
Factor the numerator
(x+3)(x-2) / (x-7)≤0
Critical points are
X =-3 X =2 X=7
We need to check the values when
x≤3 -3 ≤ x≤2 2 ≤x<7 x>7
(x cannot be 7 because then the denominator is zero)
and see when it is less than 0
Substitute a value in and see if factor is positive or negative
x≤-3
(negative)(negative) / (negative) = negative
-3 ≤x≤2
(positive)(negative) / (negative) = positive this range does not work
2 ≤x<7
(positive)(positive) / (negative) = negative
x>7
(positive)(positive) / (positive)
Answer:
The second option is the correct answer.
Thank you.
I've answered as fast as I can to answer your question.Hope you understood it.
Pls mark my answer as brainliest and follow me.
what is 6(1-10p)-7 jfghhdddcv
Answer:
-1 -60p
hope it helps
Step-by-step explanation:
6 (1-10p) -7
First solve 6(1-10p) using distributive property of subtraction
(6*1)-(6*10p) -7
= 6-60p -7
Add the constants of the equation
= (6-7) -60p
= -1 - 60p
Answer:
-60p-1
Step-by-step explanation:
Well in simplyfying it we can determine that 6*1 is 6 and 6*-10p is -60p
So then the answer is -60p-1.
What is the area of the garden in Plan A? (Type the numeric answer only
There are 7 red cards and 13 blue cards
in a deck of cards. If Yuki randomly
selects a card from the deck, what is the
probability that it is a red card?
Answer:
7/20
Step-by-step explanation:
#red cards/total # of cards
7/(7+13)
7/20
Answer:
7/20
Step-by-step explanation:
If the cosine value is 80*, the secant value to the hundredths degree is: 0.98 0.17 5.76
Work Shown:
sec(80) = 1/cos(80) = 5.75877048314363 which rounds to 5.76
Make sure your calculator is in degree mode.
Identify the solution to the system of linear equations
Y=-x-2
Y=x-6
Answer:
(-4, 2)
Step-by-step explanation:
By looking at the graph, the solution to the system of linear equations will always be where they intercept. If they both are the same line it means that there are infinite solutions, and if they don't intercept at all, that means there are no solutions.
Help !!!!!!!!!!!!!!!!!
Answer:
The elevation is a nonlinear function.
Step-by-step explanation:
Answer:
It's (B) The elevation is a nonlinear function.
Step-by-step explanation:
How many people are on both the golf team and the swim team?
11
6
5
3
Answer:
3 people
Step-by-step explanation:
3 people as per picture
Answer:
3 people's are on both the golf team and the swim team
The line has a slope of 7/10 and a y intercept of 3/10. Find the equation of the line.
Answer:
y=7/10+3/10
Step-by-step explanation:
Drag the expressions to show the order of their quotients from least to greatest
Answer:
A,D,BC
Step-by-step explanation:
URGENT The number of counties in state A and the number of counties in state B are consecutive even integers whose sum is 158. If state A has more counties than state B, how many counties does each state have?
does 4 1/2 times 2 3/4 equal 11 11/48?
4 1/2 times 2 3/4 does not equals to 11 11/48.
It actually equals to 12 3/8
hope it helps
Good luck on your assignment
Answer:
No,it's wrongThe correct answer is
[tex] = 12 \frac{2}{8} \\ = 12 \frac{1}{4} \\ [/tex]
Step-by-step explanation:
[tex]4 \frac{1}{2} \times 2 \frac{3}{4} \\ \frac{9}{2} \times \frac{11}{4} \\ = \frac{99}{8} \\ = 12 \frac{2}{8} \\ = 12 \frac{1}{4} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
please help, i need to pass. which function represents the inverse of function f below?
Answer:
B
Step-by-step explanation:
If you switch the x and y you can solve for the inverse by solving for y like this:
x=3y+5
3y=x-5
y=(x-5)/3
which can be rewritten as B.
Classify COB in the image above as either acute, obtuse, right, or straight angle.
Answer:
Number 2 obtuse
Step-by-step explanation:
Answer:
∠COB is obtuse angle
Explanation:
I attached an image showing how to tell the difference between an acute, obtuse, right, and straight angle.
We can clearly see, just by looking at the image. ∠COB is an obtuse angle
Select the correct answer.
This pyramid has the same base as the prism, and its height is three times the height of the prism. What is the ratio of the volume of the
pyramid to the volume of the prism?
Answer:
b
Step-by-step explanation:
A student is asked to find the length of the hypotenuse of a right triangle. The length of one leg is 26
centimeters, and the length of the other leg is 24 centimeters. The student incorrectly says that the
length of the hypotenuse is 7.1 centimeters. Answer parts a and b.
a. Find the length of the hypotenuse of the right triangle to the nearest tenth of a centimeter.
Answer:
c ≅ 35.4 cm.
Step-by-step explanation:
To find the length of the Hypotenuse of a triangle, the formula a² + b² = c² will need to be used. Therefore:
26² + 24² = c² (c is the hypotenuse)
1252 = c²
√1252 = c
c ≈35.38
Round to tenths place:
c ≅ 35.4 cm. This is the Hypotenuse of the triangle.
A number is multiplied by 5. If 5 is added to the product, you get 10. What is the number?
Answer:
The unknown number is 1.
Step-by-step explanation:
You have to form an expression. So let's make the unknown number as x. Firstly, a number is multiplied by 5 :
[tex]x \times 5[/tex]
[tex] = 5x[/tex]
Secondly, 5 is added to product and you will get 10 :
[tex]5x + 5 = 10[/tex]
Lastly, you have to solve :
[tex]5x + 5 = 10[/tex]
[tex]5x = 10 - 5[/tex]
[tex]5x = 5[/tex]
[tex]x = 5 \div 5[/tex]
[tex]x = 1[/tex]
Answer:
2
Step-by-step explanation:
if you divide
10 by 5
you get two
What is the ratio of x to y? (Write it in simplest form)
Answer:
There is no explanation so I guess 1 to 1?
Step-by-step explanation:
Given y = (2x + 3)2, what is the standard form of the given quadratic equation.
Answer:
[tex]y=4x^2+12x+9[/tex]
Step-by-step explanation:
Perform the square of the binomial, combine like terms, and then write the remaining expression in decreasing order of powers of x:
[tex]y=(2x+3)^2\\y=(2x+3)\,(2x+3)\\y=4x^2+6x+6x+9\\y=4x^2+12x+9[/tex]
Can someone please help me
This Is A Linear Graph Because Quadratic Graphs Are Curved
How many days are in 6 weeks not including weekends ?
Answer:
30 days
Step-by-step explanation:
There are 6 * 7 = 42 days in 6 weeks.
There are 2 * 6 = 12 weekends in 6 weeks.
42 - 12 = 30
Answer:
30 days
Step-by-step explanation:
Write 0.03 as percents.
Answer:
3%
Step-by-step explanation:
Just move the decimal 2 spaces to the right .03 becomes 3% :)
question in attachment
Answer:
it is C. An = 2(2)^n
Step-by-step explanation:
Answer:it is C. An = 2(2)^n
Step-by-step explanation:
the bearing of m from N is 70 degree what is the bearing gor N from M ?
Answer:
250°
Step-by-step explanation:
The bearing of N from M is 70° + 180° = 250°
I need help pleassseee
Answer:
The length of the radius is 3cm.
Step-by-step explanation:
Given that a circle is inscribed in a square. The side of the circle touches the side of the square which is the diameter. So the diameter of circle is 6cm, in order to find it's radius, you have to duvide it by 2 :
[tex]radius = diameter \div 2[/tex]
[tex]radius = 6 \div 2[/tex]
[tex]radius = 3cm[/tex]
Answer:
[tex]6^{2} - 3^{2} \pi[/tex] = area of the black 7.725666
[tex]x^{2} - r^{2} \pi[/tex]
area of square - area of circle
the diameter of the circle is 6 and half that is the radius = 3
Tommy can exchange 8 euros for 11 dollars.At this rate, how many dollars can Tommy get with 12 euros?
Answer:
16.50 dollars
Step-by-step explanation:
We can use proportion
8 euros --- 11 dollars
12 euros --- x dollars
x = 12 * 11/8 = 16.5= 16.50 dollars
Answer:
16.5 dollars
Step-by-step explanation:
Let's make a proportion using the following setup.
dollars/euros=dollars/euros
Tommy can get 11 dollars for 8 euros. We don't know how many dollars he can get with 12 euros. Therefore, we can say that he can get x dollars with 12 euros.
11 dollars/8 euros=x dollars/12 euros
11/8=x/12
We want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
x is being divided by 12. The opposite of division is multiplication. Multiply both sides by 12.
12*(11/8)=(x/12)*12
12*11/8=x
12*1.375=x
16.5=x
Tommy can get $16.50 with 12 euros.