Start with 2. Add 6 to each term to get the following term. What is the 6th term of the sequence?
Answers
Answer:
32
Step-by-step explanation:
We can either add all the terms.
2+6=8
2,8
8+6=14
2,8,14
14+6=20
2,8,14,20
20+6=6
2,8,14,20,26
26+6=32
2,8,14,20,26,32
The Sixth term is 32
or We can multiply 6 times 5 (30) and add 2, which would give us 32.
The reasoning behind this is that we are adding six five times (so six times five) and we are also adding the first term (2).
Related Questions
What value of x is in the solution set of -5x-15>10+20
Answers
Answer:
Resposta:
x = 1
Explication
10x – 9 = x *
10x - x = + 9
9x = 9
x = 9 / 9
x = 1
S= { 1 }
Answer:
x< -9
Step-by-step explanation:
-5x>10+20+15
-5x>45
-5x/-5<45/-5
x<-9
The shadow of a 60 foot pole is a 100 feet long. What is the angle of evaluation from the end of the shadow to the top of the pole?
Answers
Answer:
θ = 36.86°
Step-by-step explanation:
Given that,
The shadow of a 60 foot pole is a 100 feet long.
We need to find the angle of elevation from the end of the shadow to the top of the pole.
Height, h = 60 foot
Hypotenuse, H = 100 feet
Using trigonometry to find it.
[tex]\sin\theta=\dfrac{\text{Height}}{\text{Hypotenuse}}\\\\\sin\theta=\dfrac{60}{100}\\\\\theta=\sin^{-1}(\dfrac{60}{100})\\\\\theta=36.86^{\circ}[/tex]
So, the angle of elevation is 36.86 degrees.
immy said, “The ratio of boys to girls in my class is 3 to 4. For every 3 boys we have 4 girls.” If her class has 24 girls, how many boys are in her class? Show ALL work.
Answers
Answer:
18 boys
Step-by-step explanation:
24 divided by 4 gives you 6 girls so multiply the amount of boys (3) and you will get how many boys are in her class.
Answer:
18 boysStep-by-step explanation:
The ratio is:
b/g = 3/4, where b- boys and g- girls24 girls in the , then number of boys is:
b / 24 = 3/4b = 24*3/4b = 18What is the equation of the parabola, in vertex form, with focus at (2,-4) and directrix y=-6?
A. (X-2)^2 = 4(y+5)
B. (Y+4)^2 = 4(x-2)
C. (X+2)^2 = 1/4(y+4)
D. (X-2)^2 = -1/4(y+5)
Answers
Answer:
A. (X-2)^2 = 4(y+5)
Step-by-step explanation:
Equation of parabola: (x-2)² = 4(y+5)
Thus option A is correct.
Given:
Focus at (2, -4) and a Directrix of y = -6
Here,
Let us suppose that there is a point (x, y) on the parabola.
Its distance from the focus point (2, 4) is √(x - 2)² + (y + 4)²
Its distance from directrix y = -6 is |y + 6|
Therefore, the equation will be:
√(x - 2)² + (y + 4)² = |y + 6|
Squaring on both the sides,
(x - 2)² + (y + 4)² = (y + 6)²
x² - 4x + 4 + y² + 8y + 16 = y² + 12y + 36
(x-2)² = 4(y+5)
Therefore option A is correct.
Know more about parabola,
https://brainly.com/question/29203572
#SPJ4
Anybody know the answer to this? Please help ASAP
Answers
Answer:
Read this section of the text:
These raptors eat primarily flying insects, so they do most of their hunting on the wing.
What does primarily mean in this sentence?
Step-by-step explanation:
You have 8 cups of milk. You need 1.25 cups to make one serving of deep-fried chicken. How many servings can you make?
Answers
Answer:
6 servings
Step-by-step explanation:
1,25x6=7.5
The number of servings can you make deep-fried chicken will be 6.
What is inequality?Inequality is defined as an equation that does not contain an equal sign.
You have 8 cups of milk.
You need 1.25 cups to make one serving of deep-fried chicken.
Let x be the number of the deep-fried chicken.
Then the inequality will be
1.25x ≤ 8
On solving, we have
x ≤ 6.4
Then the number of servings can you make deep-fried chicken will be 6.
More about the inequality link is given below.
https://brainly.com/question/19491153
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Emily bought 12 oranges from store to make orange juice. The total cost was $15. How much did each orange cost?
Answers
Answer: 1.25
Step-by-step explanation:
hope this helps !!
Find the value x and write the property used here.
Answers
Step-by-step explanation:
Soln,
Here,
45°+65°+y(let)=180°[ being a triangle]
or,110°+y=180°
or,y=180°-110°
so,y=70°
Now,
x=?
so,
x+y=180°[being straight angle]
or,x+70°=180°
or,x=180°-70°
x=110°
THEREFORE,x=110°
solved!
Answer:
x = 110°
Step-by-step explanation:
Exterior angle property states that the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, that is
x = 45° + 65° = 110°
The student population of a school consists of 300 girls and 500 boys
Answers
Answer:
In all you have 800 students.
The ratio of girls to boys is 300:500
500 x 300 = 150000
Step-by-step explanation:
Hope this helps?
What is the area, in square centimeters, of the trapezoid below?
8.9 cm
5.5 cm
5.5 cm
Answers
Answer:
0.4m²
Step-by-step explanation:
use the formular for tripezoid and only substitute a b and h
please help me and I'll give you brainliest
Answers
Answer:
Im pretty sure its 96.
in other words, i think its A.
...brainly now?
how i did this:
Formula for Volume of Rectangular prism: V=lwh
The width is the bottom row
The length is the bottom row but on the side.
The hight is.... the hight. the number of blocks going up.
then if you times your W (width), your L (length), and your H (hight), then you will get your V (volume.)
W= 4
L= 6
H= 4
times it together and you get V=96
Answer:
[tex]\mathrm{A. \:96\:cubic\:cm}[/tex]
Step-by-step explanation:
The volume of a rectangular prism can be represented by [tex]l\cdot w\cdot h[/tex]. The dimensions of this prism are 4x4x6.
Therefore the volume of this prism is:
[tex]4\cdot 4\cdot 6=\fbox{$\mathrm{A. \:96\:cubic\:cm}$}[/tex]
A builder needs to cover 10 square yards of floor with tile. red tile costs $60 per square yard, and white tole costs $40 per square yard. if the builder spends exactly $480 on tile, how much of the floor will be overed with RED tile?
Answers
Answer:40 square yards
Step-by-step explanation:
Given
Floor area A=10 square yards
Red tile costs [tex]\$ 60[/tex] per square yards
White tile costs [tex]\$40[/tex] per square yards
Total money spent=[tex]\$480[/tex] on tiles
Suppose red tiles cover an area of [tex]x[/tex] square yards
So, we can write
[tex]60\times x+40\times (10-x)=480\\60x+400-40x=480\\20x=80\\x=40\ \text{square yards}[/tex]
Red tiles cover an area of 40 square yards
A manufacturer of prefabricated homes has decided to subcontract four components of the homes. Several companies are interested in receiving this business, but none can handle more than one subcontract. The bids made by the companies for the various subcontracts are summarized in the following table. Assuming that all the companies can perform each subcontract equally well, to which company should each subcontract be assigned if the home manufacturer wants to minimize payments to the subcontractors? Assuming that all the companies can perform each subcontract equally well, to which company should each subcontract be assigned if the home manufacturer wants to minimize payments to the subcontractors?
Bids by Companies (in $1000s) for Various Subcontract
Company
Component A B C D
1 185 225 193 207
2 200 190 175 225
3 330 320 315 300
4 375 389 425 445
What is an LP model that matches this?
Answers
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Let [tex]x_{ij}=1[/tex] when i is the element itself is allocated to 'j' [tex]i_0[/tex]
Min
[tex]185X_{1A}+225X_{1B} +193X_{1C} +207X_{1D} +200X_{2A} +190X_{2B} +175X_{2C}+225X_{2D}+330X_{3A} +320X_{3B} +315X_{3C}+300X_{3D}+375X_{4A}+389X_{4B}+425X_{4C}+ 445X_{4D}[/tex]
Subject to:
[tex]X_{1A} +X_{1B}+X_{1C}+X_{1D}=1\\\\X_{2A} +X_{2B}+X_{2C}+X_{2D}=1\\\\X_{3A} +X_{3B}+X_{3C}+X_{3D}=1\\\\X_{4A} +X_{4B}+X_{4C}+X_{4D}=1\\\\X_{1A} +X_{2A}+X_{3A}+X_{4A}=1\\\\X_{1B} +X_{2B}+X_{3B}+X_{3B}=1\\\\X_{1C} +X_{2C}+X_{3C}+X_{4C}=1\\\\X_{1D} +X_{2D}+X_{3D}+X_{4D}=1[/tex]
One Friday night, two large groups of people called Weston Taxi Service. The first group requested 2 sedans and 1 minivan, which can seat a total of 14 people. The second group asked for 2 sedans and 2 minivans, which can seat a total of 20 people. How many passengers can each type of taxi seat? Write a system equation of the this.
Answers
Answer:
Sedan: 4 passengers
Minivan: 6 passengers
Step-by-step explanation:
We can write the following system of equations:
[tex]\begin{cases}2s+1m=14 \\2s+2m=20\end{cases}[/tex], where [tex]s[/tex] represents the number of people a sedan can seat and [tex]m[/tex] represents the number of people a minivan can seat.
Subtracting the first equation from the second, we have:
[tex]2s+2m-(2s+1m)=20-14,\\\\m=6[/tex]
Now plug in [tex]m=6[/tex] in any of the equations to solve for [tex]s[/tex]:
[tex]2s+1(6)=14, \\2s=8, \\s=4[/tex]
Verify that the solution pair [tex](4, 6)[/tex] works:
[tex]2(4)+1(6)=14\: \checkmark \\2(4)+2(6)=20 \: \checkmark[/tex]
Therefore, a sedan can hold 4 passengers and a minivan can hold 6 passengers.
Twice the number v + 1
Answer:
Answers
Answer:
2(c+1)
=
2c+2
Step-by-step explanation:
Solve the system by substitution.
-9x – 2y = -44
8x – 3 = y
Answers
Answer:
x = 2, y = 13
(2, 13)
Step-by-step explanation:
hope this helps!
Square ABCD is shown in the xy-coordinate plane. The square will be
dilated with the center O by a scale factor of 2 to create square A'B'C'D'.
Which statements are true?
Select all that apply.
BC ||B'C'
AC=A'C'
AD_CD
Point D' has the same coordinates as point C.
Point C' lies on the line containing points 0 and C.
Answers
9514 1404 393
Answer:
A, C, D, E
Step-by-step explanation:
Dilation does not change angles or directions. Every image point X' lies on the line containing the center of dilation and the pre-image point X. If the scale factor is other than 1, no image segment will be congruent to its pre-image segment. So, the following are true:
BC║B'C'AC ⊥ line C'D'D' and C have the same coordinatesC' lies on line OCWill mark brainliest!!! Solve for x and round to the nearest tenth
Answers
Hi...
Co's 15=x/33...
Cos 15=0.96...
X=31.68
Can you guys help my brother please
Answers
b. 8
c. 6th and 8th
Help me out with number 9 (geometry)
Answers
Answer:
The answer to the question provided is 37.5.
If the measure of angle A is 71° in the measure of angle E is:
Answers
If Angle A is 71°, E is 355°.
Answer:
Angle E: 289
Step-by-step explanation:
If there are only 2 angles, and they would add up to be 360, then it is 289.
Just subtract 360-71 to get 289
Hope this isn’t too difficult, my teacher said to show you're work... so I hope you don’t mind explaining how you found it.
Answers
Answer:
3/4 / 1/6
keep the first fraction the same
3/4
flip the second fraction
6/1
change the division to a multiplication it should then read
3/4 X 6/1
now multiply the fractions
3 X 6 = 18
4 X 1 = 4
18/4 this can then be turned into a mixed number.
there are four 4's in 18 with two left over. so it becomes
4 2/4 and simplified 4 1/2.
please help me guys lol?
Answers
Answer:
Hey
Step-by-step explanation:
Write the fraction in simplest form
[tex] - \frac{29}{18} [/tex]
EXPLANATION[tex] \frac{8}{9} - \frac{5}{2} [/tex]
Find the difference between 8/9 and 5/-2
[tex] \frac{8}{9} - \frac{5}{2} [/tex]
[tex] \frac{8 \times 2}{9 \times 2} - \frac{5 \times 9}{2 \times 9} [/tex]
[tex] \frac{16}{18} - \frac{45}{18} [/tex]
[tex] \frac{16 - 45}{18} [/tex]
[tex] \frac{ - 29}{18} [/tex]
[tex] - \frac{29}{18} [/tex]
Determine the intercepts.
1y
x-intercept
y-intercept
8
4.
-2
1
2
-4.
-8
Answers
Answer:
The x intercept is -1 and the y intercept is 2.
Step-by-step explanation:
The intercepts are the points where the line crosses an axis. The line crosses the x axis at the point (-1,0) with the x value being -1. The line crosses the y axis at the point (0,2) with the y value being 2.
Will mark brainliest!!! Please solve the ones in green using Tran
Answers
Answer: 160.96 and 99.03
Step-by-step explanation:
Number 1:
[tex]tan(61) = \frac{x}{43}[/tex] [tex]tan(61)(43) = x[/tex][tex]160.96 = x[/tex]Number 2:
[tex]tan(57) = \frac{48}{x}[/tex][tex]tan(57)(x) = 48[/tex][tex]x = \frac{48}{tan(57)}[/tex][tex]x = 99.03[/tex]
A company uses paper cups shaped like cones for its water cooler. Each cup has a height of 12 cm, and the base has a radius of 5.5 cm. The cooler has
18,997 cm of water in it. How many cups can be filled from the cooler?
Use 3.14 for 11, and do not round your answer.
Answers
Answer:
16.65 cups
Step-by-step explanation:
Step one:
height =12 cm, and
the base has a radius =5.5 cm
Volume of the cup = πr^2h
substitute we have
volume= 3.142*5.5^2*12
volume= 3.142*30.25*12
volume=1140.546cm^3
Step two:
volume of cooler= 18,997 cm^3
hence the number of cups to fill it is
=18,997/1140.546
=16.65 cups
which graph does not represent a proportional relationship
Answers
Answer:
A would be your answer if I'm not mistaken
(05.06A)Angle ABC is formed by segments AB and BC on the coordinate grid below:
Which statement shows the measure of angle A′B′C′?
A. m∠A′B′C′ = 90 degrees
B. m∠A′B′C′ = 180 degrees
C. m∠A′B′C′ = m∠ABC
D. m∠A′B′C′ = 2 × m∠ABC
Answers
Answer:
(C) m∠A′B′C′ = m∠ABC
Step-by-step explanation:
Regardless of what translation or transformation you do to this shape, the angles will always stay the same.
Answer:
Give the other guy who answer brainlyist he is poggers.
Step-by-step explanation:
x + 7y < 14
– 2y < 10
х
Answers
Answer:
(3,0) is the answer.
Step-by-step explanation:
for first inequality,
3 + 7×0 ≤ 14
or, 3 ≤ 14
for second inequality,
3 - 2×0 ≤ 10
or, 3 ≤ 10
As you can see (3,0) satisfies both equations. so (3,0) is the answer.
The value of 34 + 6 ⋅ 5 = . (1 point)
Answers
Answer:
The answer is 64
Step-by-step explanation:
34 + 6(5)
34 + 30 = 64