Step-by-step explanation:
The sequence is an AP with common difference -7.
Therefore the next 2 terms are 1 and -6.
The next two terms are ( 1, - 6 ) so the correct answer is option D.
What is arithmetic progression?
The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression.
The next two numbers will be calculated as:-
22, 15, 8, __, __
Common difference = 15 - 22 = -7
Add this common difference in 8 to find the next term.
Next term = 8 - 7 = 1
Again add -7 to 1 to find the next term.
Next term = 1 - 7 = -6
Therefore the next two terms are ( 1, - 6 ) so the correct answer is option D.
To know more about arithmetic progression follow
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14. Sharlene bought 4 CDs at the music store. Each cost $14.95.
She was charged 5% sales tax on her purchase. What was
the total cost of her purchase?
Answer: $62.79
Step-by-step explanation: i got it right on my test
If your teacher tells you to do questions 38 through 51 in your math book for homework, how many questions is that?
Do not include units in your answer
Answer:
It would be 13 questions.
Step-by-step explanation:
If you had to do questions 31 through 51 for homework it would be 13 because...
51 - 38 = 13
Answer:
13
Step-by-step explanation:
51 - 38 = 13
also 13 + 38 = 51
brainliest.
I need help again!!!!
Answer:
Step-by-step explanation:
221/17= 13 miles per hour over
30 limit + 13 over = 43mph
Answer:
43
Step-by-step explanation:
Solving Polynomials (PLZ HELP!! BRAINLIEST IF RIGHT)
Answer:
[tex]x=\frac{2}{5}[/tex]
Step-by-step explanation:
[tex]5x^3-2x^2+5x-2=0\\x^2(5x-2)+(5x-2)=0\\(x^2+1)(5x-2)=0\\Hence,\\Either\ (x^2+1)\ should\ equal\ zero, or (5x-2)\ should\ be\ null.\\Lets\ try\ each\ on\ seperately:\\(x^2+1)=0\\x^2=-1\\x=\sqrt{-1}\\As\ \sqrt{-1}\ is\ not\ a\ real\ number,\ we\ can\ exclude\ it\ as\ a\ solution.\\Hence,\\(5x-2)=0\\5x=2\\x=\frac{2}{5} \\Thats\ your\ answer.[/tex]
Answer:
x = [tex]\frac{2}{5}[/tex] , x = ± i
Step-by-step explanation:
Given
5x³ - 2x² + 5x - 2 = 0 ( factor the first/second and third/fourth terms )
x²(5x - 2) + 1(5x - 2) = 0 ← factor out (x - 2) from each term
(5x - 2)(x² + 1) = 0
Equate each factor to zero and solve for x
5x - 2 = 0 ⇒ 5x = 2 ⇒ x = [tex]\frac{2}{5}[/tex]
x² + 1 = 0 ⇒ x² = - 1 ⇒ x = ± [tex]\sqrt{-1}[/tex] = ± i
The polynomial is of degree 3 and has 3 roots, 1 real and 2 complex, that is
x = [tex]\frac{2}{5}[/tex] ← real root
x = ± i ← complex roots
Find the slope between the following points (-3, 4) AND (-7,-5).
Answer:
slope = [tex]\frac{9}{4}[/tex]
Step-by-step explanation:
Equation to find slope: [tex]\frac{y1-y2}{x1-x2}[/tex] (-3, 4) (-7, -5)
[tex]\frac{4+5}{-3+7}[/tex] = [tex]\frac{9}{4}[/tex]
prove that:
tan80°=2tan 70°+ tan10°
Answer:
kunjal brother answer is correct hope it's help you have a good day ☺☺ keep smiling be happy stay safe ☺☺
help me I need help on this
Answer:
It is 1.
Step-by-step explanation:
Hope this helped have an amazing day!
anyone who knows please help!!!!
i tried to solve this on my own but it's not happening rip
Answer:
13.5
Step-by-step explanation:
the answer is 13.5, because you do the proportionate equations of 6/4 = x/9, and then you cross multiply to get 4x=54, and then you isolate x, so the answer is 13.5
(k^2-6k^4)-(3k^4+k^2+2)
Step-by-step explanation:
Vamos simplificar passo a passo.
k2-6k4-(3k4+k2+2)
Distribua o sinal negativo:
=k2-6k4+-1(3k4+k2+2)
=k2+-6k4+-1(3k4)+-1k2+(-1)(2)
=k2+-6k4+-3k4+-k2+-2
Combine os termos semelhantes:
=k2+-6k4+-3k4+-k2+-2
=(-6k4+-3k4)+(k2+-k2)+(-2)
=-9k4+-2
Responda:
=-9k4-2
Neeeeeed help?!?!!!!!!!
Step-by-step explanation:
number of minutes I guess
The table shows the balance of Steven's savings account over time. Assuming there are no withdrawals, if you graph the relationship for Steven's monthly balances, which points will lie on the resulting line?
Answer:
(23, 9,200) (26, 10,400)
those are the only 2
how many times does 10 go into 2280
Answer:
228
Step-by-step explanation:
√ 25 –2√3 + √27 +2√ 9 Express in simplified radical
Answer:
The expression in simplified radical form is:
[tex]\sqrt{25}-2\sqrt{3}+\sqrt{27}+2\sqrt{9}=11+\sqrt{3}[/tex]
Step-by-step explanation:
Given the expression
[tex]\sqrt{25\:}\:-2\sqrt{3}\:+\:\sqrt{27}\:+2\sqrt{9\:}\:[/tex]
as
[tex]\sqrt{25}=5[/tex][tex]\sqrt{27}=3\sqrt{3}[/tex][tex]2\sqrt{9}=6[/tex]so the expression becomes
[tex]=5-2\sqrt{3}+3\sqrt{3}+6[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:-2\sqrt{3}+3\sqrt{3}=\sqrt{3}[/tex]
[tex]=5+\sqrt{3}+6[/tex]
[tex]=11+\sqrt{3}[/tex]
Thus, the expression in simplified radical form is:
[tex]\sqrt{25}-2\sqrt{3}+\sqrt{27}+2\sqrt{9}=11+\sqrt{3}[/tex]
Write (2x10) + (9 x 1) + (7 x 0.10 ) + (8 x 0.001) in standard form.
Answer:
hi
Step-by-step explanation:
Find the slope
please help
Answer:
5/2
Step-by-step explanation:
Rising, there are 5 squares. Running, there are 2 squares. The line is rising left to right, so the slope is positive.
z= -400i - 44.5 what is the real part of z?
Answer:
-44.5
Step-by-step explanation:
The i part is imaginary.
The rest is real.
The real part is -44.5
Answer:
-44.5
Step-by-step explanation:
for a complex number
[tex]z=a+bi[/tex]
a is the real part
so in our case we have
[tex]z=-44.5-400i[/tex]
a = -44.5
so the real part is -44.5
write the factored form of the polynomial.
P(x) = x4 – 7x3 + 13x2 + 3x – 18
Answer:
(x+1)(x-2)(x-3)^2
Step-by-step explanation:
Sorry, mate. That math is too hard to type out online. You's guys will just have to take my word for it!
Casey wants to buy a gym membership. One gym has a $248 joining fee and costs $27 per month. Another gym has no joining fee and costs $58 per month. In how many months will both gym memberships cost the same? What will that cost be?
Answer:
In 8 months both gym memberships will cost the same and that cost will be $464
Step-by-step explanation:
Linear Models
To compare two gym memberships, we can help Casey to form one model for each gym.
One of them charges a $248 joining fee plus $27 per month. The model for this gym is:
G1 = 27m + 248
Where m is the number of months.
The other gym has no joining fee but charges $58 per month. It's model is:
G2 = 58m
The number of months where both gyms end up charging the same can be found by equating G1 = G2, or equivalently:
27m + 248 = 58m
Subtracting 27m and swapping the equation:
58m - 27m = 248
Simplifying:
31m = 248
Solving:
m = 248/31
m = 8
When m=8, both gyms charge the same:
G1 =27*8 + 248= $464
G2 = 58*8 = $464
Thus, in 8 months both gym memberships will cost the same and that cost will be $464
Kelvin ran in a race over the weekend and ran 4 kilometres in 20 minutes. Choose all of the th emu it rates that represent the problem A) 1 km in 5 min B)5 km in 1 min C)4/20 km in 1 min D)4/20 min in 1 km E) 3/5 km in 1 min
Answer:
A) 1 km in 5 min
C.) 4/20 km in 1 min
Step-by-step explanation:
Given that:
Kevin ran 4 km in 20 minutes
A) 1 km in 5 min B)5 km in 1 min C)4/20 km in 1 min D)4/20 min in 1 km E) 3/5 km in 1 min
4 km in 20 minutes :
4km / 20 minutes = 1km / 5 minutes
4/20 km in 1 minute = 0.2 km in 1 minute
If :
1 km = 5 minutes
x km = 1 minute
Number of kilometers in 1 minute :
1/5 = 0.2 km per minute
Hence, Option A and C
7: (page 311) Triangle DEF has vertices D(1,2), E(1,6), and F(4,2). What are the coordinates of
the orthocenter of Triangle DEF?
Answer:
u
Step-by-step explanation:
The lowest temperature ever recorded in the U.S. was - 79.8 degrees Fahrenheit in Prospect Creek, Alaska. Which of the following best explains what temperature means.
A. It means the temperature was 79.8 Fahrenheit more than one.
B. It means the temperature was 79.8 Fahrenheit more than zero.
C. It means the temperature was 79.8 Fahrenheit less than one.
D. I means the temperature was 79.8 Fahrenheit less than zero.
Answer:
D
Step-by-step explanation:
Negative numbers are less than zero.
Juan is three times as old as Gabe and Gabe is six years older than Catherine. If the sum of their ages is 149, how old is each person? Define a variable, write an equation, solve the equation, and answer in a complete sentence. (Remember to clearly show your work on your work page.)
Answer:
Juan = 93 years.
Gabe = 31 years.
Catherine = 25 years.
Step-by-step explanation:
Let the age of Juan = J
Let the age of Gabe = G
Let the age of Catherine = C
Translating the word problem into an algebraic equation, we have;
[tex] J = 3G[/tex] ..........equation 1
[tex] G = C + 6 [/tex] ........equation 2
[tex] J + G + C = 149 [/tex] ........equation 3
We would solve the linear equations by using the substitution method;
Substituting equation 2 into equation 1;
[tex] J = 3(C + 6)[/tex]
[tex] J = 3C + 18[/tex] ........equation 4
Substituting equation 2 and equation 4 into equation 3;
[tex] (3C + 18) + (C + 6) + C = 149 [/tex]
Simplifying the equation, we have;
[tex] 5C + 24 = 149[/tex]
[tex] 5C = 149 - 24[/tex]
[tex] 5C = 125[/tex]
[tex] C = \frac {125}{5}[/tex]
C = 25 years.
To find G; from equation 2
[tex] G = C + 6[/tex]
Substituting the value of "C" into equation 2, we have;
[tex] G = 25 + 6[/tex]
G = 31 years.
To find J; from equation 1
[tex] J = 3G [/tex]
Substituting the value of "G" into equation 1, we have;
[tex] J = 3 * 31[/tex]
J = 93 years.
Therefore, Juan is 93 years old, Gabe is 31 years old and Catherine is 25 years old.
Robin and Shaon obtained 5/6 and 4/5 of the total marks respectively in the annual examination.
Robin obtained 30 marks more than Shaon.
What is the total marks? And what marks did
everyone obtain?
Answer:
sjsnana.amamakajsakqqmk
PLEASE PLEASE PLEASE HELP!!
Answer:
I'm just doing this to get points
What is a correct name for ange 5?
Answer: KVL
Step-by-step explanation:
This would be the correct name for the angle since the V needs to be in the middle of the answer. In the angle you can see L V and K all pass 5 making it the correct name for the angle
can someone help me (3.7x10-8)(2.9x10⁶
express cos6mcos2m as a sum or difference
Given :
An expression (cos 6m)(cos 2m) .
To Find :
We need to express it in terms as sum or difference.
Solution :
We know,
cos( A + B ) = cosA cos B - sin A sin B
cos( A - B ) = cosA cos B + sin A sin B
Adding both the equations we get :
2cos A cos B = cos( A + B) + cos( A - B )
or
cos A cos B = cos( A + B) + cos( A - B )/2
Putting value of A = 6m and B = 2m in above equation, we get :
(cos 6m)(cos 2m) = cos( 6m + 2m ) + cos( 6m - 2m )/2
(cos 6m)(cos 2m) = cos(8m) + cos(4m)/2
Hence, this is the required solution.
What is 9 to the first power times (-2)3?
(A) -27
(B) 36
(C) -72
(D) 27
Answer:
-72
Step-by-step explanation:
9*(-2)³ = 9*(-8) = -72
Answer:
(C) -72
Step-by-step explanation:
[tex]9^1*(-2)^3[/tex]
Any number to the exponent of 1 is equal to themselves
[tex]= 9*(-2)^3[/tex]
Solve the exponent and multiply
[tex]= 9*(-8)\\=-72[/tex]
I hope this helps!
Please help me! thank you!
Answer:
4
Step-by-step explanation:
Function 1 is moving at a constant rate meaning it has the rate of change of 0/1 or 0.
Function 2 says y is 4x meaning that the rate of change is 4/1 or 4.
0 - 4= I-4I or 4
3. What is the slope of the line represented by the equation
(-14y) - 7x?
a. -2
b. -1/2
Z
c.
d. 1/2
Answer:
Slope = -1/2
Step-by-step explanation:
Use y = mx + b to find the slope (m) Write the expression as an equation (-14y)-7x=0. Rewrite in slope-intercept form by removing the parentheses, adding 7x to both sides, dividing each term by -14, then writing in y = mx + b form, which is m=-1/2x. Remove the variable, it becomes your answer of -1/2.