I need to find the answer to B
Answer:
a) The next two terms are: 13, 16
b) nth term of the sequence is [tex]\mathbf{a_n=3n-5}[/tex]
Step-by-step explanation:
a) Find the next two terms of sequence: -2,1,4,7 and 10
The common difference d: a₂-a₁ = 1-(-2)= 3
a₃-a₂= 4-1 = 3
a₄-a₃=7-4=3
So, common difference is : 3
Next two terms are: 10+3 = 13
13+3= 16
The next two terms are: 13, 16
b) Find nth term of the sequence
The nth term can be found using formula:
[tex]a_n=a_1+(n-1)d[/tex]
where a₁=First term and d=Common Difference
In the sequence given we have a₁=-2 and d=3
So, the nth term will be:
[tex]a_n=a_1+(n-1)d\\a_n=-2+(n-1)3\\a_n=-2+3n-3\\a_n=3n-5[/tex]
So, nth term of the sequence is [tex]\mathbf{a_n=3n-5}[/tex]
which of these situations does not have quantities that combine to make 0.
A. In the morning, the temperature rises 30 degrees. in the evening, it falls by 30 degrees
B. Hikroko earns $20 working concessions at the football game. she earns $20 as as babysitter
C. A dolphin swims 20 feet straight down from the surface. it then rise 20 feet to reture to the surface
D. A hot air balloon rises 40 feet. it then drops 40 feet to the ground
Hurry please
Answer:
B. Hikroko earns $20 working concessions at the football game. she earns $20 as as babysitter
Step-by-step explanation:
also the person who keeps deleting all my answers i hope u break your back
How many hours would someone who earns $7.50 per hour have to work to earn $116.25?
15.5
123.75
6.45
108.75
Answer:
15.5 hours
Step-by-step explanation:
cause i know
please help! 50 points
.Divide 6.410251.6109 1) Group the numerical factors together. 2) Simplify powers of 10 (exponent properties)
Answer:
Thanks so much
Step-by-step explanation:
plz give me brainiest
Answer:
= 0.312
Solution:
Change the divisor 6.410251 to a whole number by moving the decimal point 6 places to the right. Then move the decimal point in the dividend the same, 6 places to the right.
We then have the equations:
2000000 ÷ 6410251 = 0.312
and therefore:
2 ÷ 6.410251.6109 1) = 0.312
Both calculated to 3 decimal places.
0 0 0 0 0 0 0. 3 1 2
6 4 1 0 2 5 1 2 0 0 0 0 0 0. 0 0 0
− 0
2 0
− 0
2 0 0
− 0
2 0 0 0
− 0
2 0 0 0 0
− 0
2 0 0 0 0 0
− 0
2 0 0 0 0 0 0
− 0
2 0 0 0 0 0 0 0
− 1 9 2 3 0 7 5 3
7 6 9 2 4 7 0
− 6 4 1 0 2 5 1
1 2 8 2 2 1 9 0
− 1 2 8 2 0 5 0 2
1 6 8 8
A teacher has b boxes of pencils, with 10 pencils in each box. She gives away 4 boxes to the students in her class. How many pencils does she have left?
9514 1404 393
Answer:
10b -40
Step-by-step explanation:
After giving away 4 of the b boxes she started with, she has (b-4) boxes remaining. Since there are 10 pencils in each box, the number of pencils she has left is ...
10(b -4) = 10b -40
A unicorn whose mass is 65 kg is moving at a speed of 4 m/s. What is the unicorn's kinetic energy?
Answer:
[tex]KE = 520 J[/tex]
Step-by-step explanation:
[tex]KE=\frac{1}{2}mv^2\\KE=\frac{1}{2}*65*4^2\\KE=\frac{1}{2}*65*16\\\\KE=520J[/tex]
Greta is taking a road trip from Cincinnati to San Francisco. On the first day, she drove 650 miles in 10 hours. On the second day, she got a later start and drove 540 miles in 8 hours. How many miles per hour faster was her average speed the second day?
Answer:
2.5 miles per hour fasterStep-by-step explanation:
Step one:
the first day
distance= 650miles
time taken= 10 hours
speed= distance/time
speed= 650/10
speed= 65miles per hour
Step two:
the second day
distance= 540mile
time taken= 8 hours
speed= distance/time
speed= 540/8
speed= 67.5miles per hour
Step three:
the difference between the two speeds is =67.5-65= 2.5
therefore on the second day, the speed is 2.5 miles per hour faster
What is the solution to n/4 = -12.4?
n = 3.1
n = -3.1
n = 49.6
n = -49.6
Answer:
n= -49.6
Step-by-step explanation:
49.6 i did this test and got it right
Write an equation of the line in standard form.
The line has the same slope as 3x-y=5 and the same y-intercept as the graph of 2y- 15x = 8.
The equation in standard form is
Answer:
Ok to make this easier for us we should switch these equations into y=mx+b so that it's easier for us to identify the slope and y-intercept:
to switch into y=mx+b form do this:
3x-y=5
-y=5-3x
y=-5+3x
y=3x+(-5)
2y-15x=8
2y=8+15x
y=4+7 1/2x
y=7 1/2x+4
THe slope of any line in y=mx+b form is m. Therefore in this equation:
y=3x+(-5) 3 is the slope
The y intercept of any line is the +b:
y=7 1/2x+4 -therefore 4 in this equation is our y intercept.
Now we can construct our equation in y=mx+b then into standard form (Ax+By=C)
since 3 is our slope and 4 is our y intercept the equatuon is :
y=3x+4
NOw all we need to do is move this into standard form:
y=3x+4
-3x+y=4
-3x+y=4 is your final answer
-hope this helped
Step-by-step explanation:
Last month, the online price of a powered ride-on car was $250. This month, the online price is $330. What is the percent of increase in the price of the car? Round the percent to the neartst tenth if necessary.
Answer: 32.0%
Step-by-step explanation:
The price of car last month = $250
The price of the car this month = $330
Increase in price = $330 - $250 = $80
Percentage increase = (Increase in price/Cost price last month) × 100
= $80$250 × 100
= 0.32 × 100
= 32.0%
The percent of increase in the price of the car is 32.0%.
-5,-75,3-2,4,3/2 write in ascending order
Answer:
5,-75,3-2,4,3/2
Step-by-step explanation:
5,-75,3-2,4,3/2
URGENT HELP!!
The angle between a diagonal and the longer base of the isosceles trapezoid MNFD is 45°. NK is an altitude to the longer base. If MD = 9 and NF = 5, find:
Answer:
NK = 7, MK = 2, MF = 9.9, Area = 42Step-by-step explanation:
Refer to attached
To find:
NK , MK, MF, Area of trapezoidSolution
The trapezoid is isosceles and NK is its height, therefore
MD - NF = 2MKMK = (9 -5)/2 = 2Since ∠KDN = 45°, the triangle NKD is isosceles and so
NK = KD = MD - MK = 9 - 2 = 7MF = ND as trapezoid is isosceles and therefore diagonals are equal
ND = NK√2 = 7√2 = 9.9 So MF = 9.9Area of trapezoid
A = 1/2(b1 + b2)h A = 1/2(9+5)(7) = 6*7 = 42Yasmine needs to create invites for a party. She has 3/4 of an hour to make the invites. It takes her 1/12 of an hour to make each card. How many invites can she create. Use a model to represent the qutient
Select all of the values that are solutions to the following inequality. *
3(2a-1)> 10a - 11
Queston:
Select all of the values that are solutions to the following inequality.
3(2a-1)> 10a - 11
Answer:
The answer is 2
30 Willow trees are distributed over a geographic area consisting of 50 acres. what is the population density in terms of willow tree per acre?
Answer:
There is 1 tree per 1.6 acre.
Step-by-step explanation:
Divide the number of trees from the number of acres. This will tell you how many acres are between each tree.
Answer:
0.6 acres.
Step-by-step explanation:
You divide the total population of the willow tree (30) by the areas they occupy (50 acres). Therefore, 30/50=0.6 population per acre.
What is 9 - 3 ÷ 1/3 + 1 Please show work
Answer:
answer
Step-by-step explanation:
9-3 = 6
6 divided by 1/3 is (3x6) = 18
18 + 1 = 19
Answer:
the answer is 19
Step-by-step explanation:
Jim is baking chocolate chip muffins. He has a total of 7 1/3 cups of chocolate chips. If each batch of muffins uses 2/3 of a cup of chocolate chips, enter the most number of batches of muffins Jim can bake
Answer:
16
Step-by-step explanation:
The first step to answering a question like this is to turn it into an improper fraction so 7 1/3=24/3. Then divide the numerator by the denominator so 24 divided by 3=8 so 8=1/3. Their is 2/3 so do 8 times 2 which equals 16
Y’all please helppp it says (ax + by)/c = d solve for x
Answer:
[tex]x=\frac{dc-by}{a}[/tex]
Step-by-step explanation:
[tex]\frac{ax+by}{c}=d\\\\ax+by=dc\\\\ax=dc-by\\\\x=\frac{dc-by}{a}[/tex]
Order from greatest to least : 0.8; 8.83; 0.083; 80.83
Answer:
ok
Step-by-step explanation:
0.083,80.83,8.83,0.8
Hope that helps you.
the ratio of boys to girls in the sixth grade is 2:3
If there are 24 boys how many girls are there
I think it is eight.
PLEASE HELP I'M QUITE SURE WITH THIS QUESTION
The answer is ( D ), y ≤ 6
The range begins from minimum value to maximum value.
However, in the graph. There's no minimum value as it's heading toward negative infinity.
So we use y ≤ 6 instead.
So the clear answer is y ≤ 6 or ( D )
If u understand this May u please help me please
Answer:
y=-(2/3)x-3
Step-by-step explanation:
1) Solve by using elimination.
x-3y = 7
3x + 3y = 9
Answer:
( 3 - 3 )
Step-by-step explanation:
I search up all my the questions people ask me and make sure they are %100 percent correct. If any other questions, ask right away. Have a good night.
Select all equations that have graphs with the same y-intercept.
Group of answer choices
y=3x - 8
y=3x - 9
y=3x + 8
y= 5x-8
y=2x -8
y=1/3x -8
El peso promedio de 500 árboles de un vivero es de 70kg y la desviación estándar de 3kg. Suponiendo que los pesos se distribuyen normalmente, encontrar CUANTOS arboles pesan: a) Entre 60 y 75 kg b) Más de 90kg c) Menos de 64kg. D) 64 Kg
Answer:
Step-by-step explanation:
Resolvemos usando la fórmula de puntuación z
z = (x-μ) / σ, donde
x es la puntuación bruta
μ es la media poblacional = 70 kg
σ es la desviación estándar de la población = 3 kg
a) Entre 60 y 75 kg
Para x= 60kg
z = 60 - 70/3 kg
=-3.33333
Valor de probabilidad de la tabla Z:
P(x = 60) = 0.00042906
Para x = 75 kg
z = 75 - 70/3 kg
= 1.66667
Valor de probabilidad de la tabla Z:
P(x = 75) = 0.95221
P(x = 75) - P(60)
0.95221 - 0.00042906
b) Más de 90 kg
Para x> 90 kg
z = 90 - 70/3
= 6.66667
Valor de probabilidad de la tabla Z:
P (x <90) = 1
P (x> 90) = 1 - P (x <90) = 0
Número de árboles = 500
Por tanto, 500 × 0 = 0 árboles
c) Menos de 64 kg
x <64 kg
z = 64 - 70/3 kg
= -2
Valor de probabilidad de Z-Table:
P (x <64) = 0,02275
Hay 500 arboles
= 500 × 0.02275
= 11.375 árboles
D) 64 kilogramos
x = 64 kg
z = 64 - 70/3 kg
= -2
Valor de probabilidad de Z-Table:
P (x = 64) = 0,02275
Hay 500 arboles
= 500 × 0.02275
= 11.375 árboles
Is 3/10 and 2/15 proportional
Answer:
No
Step-by-step explanation:
3/10 = 6/20 not 2/15
b) Wendy and Xavier share money in the
ratio 4:3. Wendy gets £30 more than
Xavier. How much does each receive?
Answer:
22.5
Step-by-step explanation:
30/4=7.5
7.5*3=22.5
A small business borrows $50,000 to get started. Some of the money is borrowed at 9%, some at 7%, and some at 10% simple interest. The total of the annual interest they are charged is $4340, and the amount borrowed at 7% is two times the amount borrowed at 9%. Set up a system of equations to represent the situation, then find the amounts of money (x, y, and z) borrowed at each interest rate.
Answer: Amount borrowed at 9% = 9,428.57
Amount borrowed at 7% = $18,857.14
Amount borrowed at 10% = $ 21,714.29
Step-by-step explanation:
Formula for simple interest :
I = PRT,
P= Principal, R =rate , T= time
Let x = amount borrowed at 9%.
y = amount borrowed at 7%.
z = amount borrowed at 10%.
i.e. x+y+z= 50000 (i) [Given : amount invested = 50000]
Interest on x = x (0.09)(1) [as P=x, T=1 year, r= 0.09]
= 0.09x
Similarly
Interest on y = y(0.07)(1) = 0.07y
Interest on z = z(0.1)(1)=0.1z
Total interest = 0.09x+0.07y+0.1z = 4340 (ii)
Also, y=2x [given] (iii)
Put y=2x in (i) and (ii), we get
x+2x+z= 50000 ⇒ 3x+z=50000 (iv)
0.09x+0.07(2x)+0.1z=4340 ⇒ 0.09x+0.14x+0.1z=4340
⇒ 0.23x+0.1z=4340 (v)
Multiply 10 on both sides of (v)
2.3x+z=43400 (vi)
Eliminate (vi) from (v)
0.7x=6600
⇒ x= 9,428.57
From (iii), y= 2(9428.57) =18,857.14
From (vi),
2.3(9428.57)+z=43400
⇒ 21685.71+z=43400
⇒ z= 43400-21685.71
⇒ z=21714.29
Hence, Amount borrowed at 9% = 9,428.57
Amount borrowed at 7% = $18,857.14
Amount borrowed at 10% = $ 21,714.29
Roman solved the equation 5 a + 2 b = 10 for a. His steps are shown below.
1. Subtract 2b: 5 a + 2 b minus 2 b = 10 minus 2 b. 5 a = 10 minus 2 b.
2. Multiply by 5: a = 50 minus 10 b.
Which statement about Roman’s work is true?
I need a quick answer pls!
Answer:
In step 2, he needed to divide both sides of the equation by 5
Step-by-step explanation:
I'm very positive about this
Hope this helps!!!!!!
Answer:
step 2
Step-by-step explanation:
What is the equation for the line that passes through the point (-4,-6) and has a slope of -1/2?
Answer:sorry I’m ish could help