Answer:
a₂₇ = -81
Step-by-step explanation:
Given that,
The first term of an AP is, a₁ = 49
8th term of the AP, a₈ = 14
nth term of an AP is given by :
[tex]a_n=a_1+(n-1)d\\\\a_8=49+7d\\\\14=49+7d\\\\7d=-35\\\\d=-5[/tex]
27th term of the AP is given by :
[tex]a_{27}=a_1+26d\\\\=49+26(-5)\\\\=-81[/tex]
So, 27th term of the AP is -81.
A box is filled with 9 red crayons, 2 blue crayons, and 5 yellow crayons.
A crayon is chosen at random from the box. Find the probability that it is a red or a blue crayon.
Write your answer as a fraction in simplest form.
Answer:
11/16
Step-by-step explanation:
9+2+5=16
9+2=11
11/16
Answer:
You use ratios to determine, so to find blue crayons it will be 16/2 chance of finding a blue crayon since there are 16 crayons and 2 blue crayons, and simplified it will be 8/1, you can find out the red crayon also by doing the same thing, since you are trying to get a red or blue crayon it will be 11/16 chance of finding a blue or red crayon.
ebuka is twice as old as John,if ebuka is 24, how old is John
please someone help me with this
Answer:
260 cm³Step-by-step explanation:
Full surface area:
S = 3(6*10) + 2(1/2*8*10) = 260 cm³Answer:
Surface Area = Surface Area of triangle + SA of rectangle
Surface Area = 3 × (6 × 10) + 2 × ½ × 8 × 10
Surface Area = 3 × 60 + 80
Surface Area = 180 + 80
Surface Area = 260 cm ³
[tex] \\ [/tex]
Find the common difference for an arithmetic series with
a1=5 and S10 = 320.
Answer:
6
Step-by-step explanation:
Let [tex]n = a_{10}[/tex]. We know the formula for the sum of an arithmetic sequence is:
[tex]S_{n} = \frac{n(a_{1}+a_{n} )}{2}[/tex]
Where n is the number term you are finding the sum up to, a1 is the first term, and an is the nth term. We can substitute what we have:
[tex]320=\frac{10(5 + n)}{2}[/tex]
[tex]640=10(n+5)\\64=n+5\\n=59[/tex]
The formula to find the nth term of an arithmetic series is:
[tex]a_{n} = a_{1} + (n-1)d[/tex]
Where d is the common difference. Again, we can plug in what we have;
[tex]59 = 5 + 9d\\9d = 54\\d = 6[/tex]
Please help me! i have to find the cube root
Answer: 7/4
Step-by-step explanation:
Answer:
Exact Form:
7/4
Decimal Form:
1.75
Mixed Number Form:
1 3/4
Step-by-step explanation:
Determine the missing side length of the triangle please and thank you!
Answer:
90
Step-by-step explanation:
It is a right angle
Answer:
8.944
Step-by-step explanation:
Use the Pythagorean theorem to find the unknown side.
[tex]a^{2} +b^{2} =c^{2} \\x^{2} +8^{2} =12^{2} \\x^{2} = 12^{2} -8^{2}\\x=8.944[/tex]
Someone please help :0
Answer:
m < -18/19
Step-by-step explanation:
8m + 95 < -87 m +5
Add 87m to each side
8m+87m + 95 < -87 m+87m +5
95m + 95 < 5
Subtract 95 from each side
95m + 95-95 < 5-95
95m < -90
Divide each side by 95
95m/95 < -90/95
m < -18/19
Answer:
Step-by-step explanation:
8m +95 < -87m +5
8m +87m < 5-95
95m < -90
m < -90/95
m < -18/ 19
What is that number in scientific notation form??
Answer:
D. 3.7 × 10⁶
Step-by-step explanation:
3.7 × 10⁶
3700000
please help fast, thanks !
Answer:
a) 0.8
b) 0.3
c) 0.9
d) 0.95
Step-by-step explanation:
A probability always adds up to 1. It is between the scale of 0 (never likely) to 1 (very likely).
So:
1 - 0.2 = 0.8
1 - 0.7 = 0.3
1 - 0.1 = 0.9
1 - 0.05 = 0.95
Hope this helped!
How would this look in standard notation??
Jimmy's Bakery sold 950 donuts last week. This week, the number of donuts sold increased 12%. How many more donuts were sold this week?
Answer:
114
Step-by-step explanation:
12% of 950 is 114, so since 12% more donuts are sold this week, we sold 114 more donuts this week compared to last week.
Is this a right triangle?
Answer:
yes
Step-by-step explanation:
it has a 90 degree angle
Suppose 42 gallons of water came out of a pipe in 6 minutes. What was the rate in gallons per minute?
Answer:
7 gallons per minute.
Step-by-step explanation:
42 / 6 = 7
Answer:
7 gallons per minute.
Step-by-step explanation:
42 divided by 6 = 7
and if you multiply 6 and 7 you will get 42
Which expression would you use to determine the missing number in the sequence? 11, ____, 25, 32, 39
PLEASE HELP WILL GIVE BRAINLIST
Answer:
B
Step-by-step explanation:
∠ 3 and ∠ 8 are alternate angles and are congruent, then
6x + 3 = 4x + 29 ( subtract 4x from both sides )
2x + 3 = 29 ( subtract 3 from both sides )
2x = 26 ( divide both sides by 2 )
x = 13 → B
4+2(17-12) !!!!!!!!!!!!!!!!!!
Answer:
14
Step-by-step explanation:
Use Pemdas
Solve in parentheses:
17 - 12 = 5
Multiplication:
2 * 5 = 10
Addition:
10 + 4 = 14
Answer is 14
Answer: 14
Steps:
[tex]Follow\:the\:PEMDAS\:order\:of\:operations[/tex]
Calculate within parentheses (17 − 12 ) : 5
[tex]=4+2\cdot \:5[/tex]
Multiply and divide (left to right) 2 · 5 : 10
[tex]=4+10[/tex]
Add and subtract (left to right) 4 + 10 : 14
=14
#[tex]AnimePower[/tex]
The temperature of the water in a coffeepot does not exceed 210 ° Fahrenheit. Let t be the temperature of the water in the coffeepot. Question Move a number, a variable, and a symbol to the line to create an inequality that represents this situation.
Answer:
t ≤ 210°
Step-by-step explanation:
If the temperature of the water in a coffeepot does not exceed 210°, this means that the temperature cannot be more than 210° and the required inequality sign that fits is ≤ (less than or equal to).
Since t is the temperature of the water in the coffeepot, the required inequality expression will be t ≤ 210°
The length of a cuboid is thrice the breadth and twice the length.if the volume of a box is 750 cm3 then find the measure of the box.
Step-by-step explanation:
Let b is breadth and l is length of the cuboid such that,
Length, l = 3b and l = 2h
or
h = l/2
We know that, the volume of a cuboid box is given by :
V = lbh
Put all the values,
[tex]V=l\times \dfrac{l}{3}\times \dfrac{l}{2}\\\\750=l\times \dfrac{l}{3}\times \dfrac{l}{2}\\\\750\times 6=l^3\\\\l=(750\times 6)^{1/3}\\\\l=16.5\ cm[/tex]
Breadth, b = 16.5/3 = 5.5 cm
Height, h = 16.5/2 = 8.25 cm
Hence, this is the required solution.
Someone help me with number 5 ASAP please and thank you
Answer:
70
Step-by-step explanation:
In circle 0 points P, Q, and R lie on the circle. Which of the following would not be a chord
of the circle?
OP
QP
RP
QR
Answer:
OP
Step-by-step explanation:
A chord is a segment whose extremes lie on the circumference
OP is a radius because has an extreme that is the center of the circumference and a radius is not a chord
without plotting the points indicate the quadrant in which they will lie,if
a)ordinate is 5 , abcissa is -3
b)abcissa -5 and ordinate is -3
c)abcissa is -5 and ordinate is 3
d)abcissa is5 and ordinate is 3
Answer:
a) 2nd quadrant
b) 3rd quadrant
c) 2nd quadrant
d) 1st quadrant
Step-by-step explanation:
When we talk about ordinate, we mean the y axis value
abscissa is the x axis value
There are four quadrants with the following distribution of signs;
1st quadrant: positive x and positive y
2nd quadrant: negative x and positive y
3rd quadrant; negative x and negative y
4th quadrant ; positive x and negative y
a) (-3,5)
negative x and positive y; this is the 2nd quadrant
b) (-5,-3)
Negative x and negative y, this is the 3rd quadrant
c) (-5 , 3)
Negative x and positive y; 2nd quadrant
d) (5,3)
Positive x and positive y; 1st quadrant
Which value is equivalent to
3/11?
OA A. 0.27
O
B. 0.27
OC
C. 3.6
OD. 3.
Answer:
0.27 repeating.
Step-by-step explanation:
So to solve this we just have to use division.
1 clearly doesnt go into 3 at least one time, so we can add a decimal point and add a 0 to make it 30.
11 goes into 30 2 times, so we have:
0.2
and 30-22=8
So we can add another 0 and make it 80.
Then 11 goes into 80 7 times. So we have:
0.27
and 80-77=3
So again, add the 0, we have 30.
11 goes into 30 2 times, so:
0.272
and 30-22=8
Add another 0 we get 80.
11 goes into 80 7 times.
So finally, we have:
0.2727.
This is a repeating decimal.
This can be shown as:
0.27
So this is your answer!
I was a bit confused with which one it was on your answer key, but knowing that it is 0.27 I am guessing you can chose!
Hope this helps!
PLEASE I NEED HELP I DONT UNDERSTAND HOW TO DO ILL GIVW MORE IF RIGHT
From what I can tell from this problem, 130° and y° look to be both on the same 180° horizontal line. To find what y is, you just gotta subtract 130 from 180 and you get 50°. So y° is really, 50°.
Now for the x°. Even though we don't know what the numbers add up to in this diagram, let's assume since all triangles add up to 180° (and quadrilaterals are comprised of two triangles), that all angles of this quadrilateral are supposed to equal 360°. All you have to do is add the 123°, 60°, and 50° together to get 233°, now just subtract 233° from 360°, and your answer is 127°.
By the way my math might be a little off but I hope this helps you understand it. I hope.
HELP NOW! WILL GIVE ALL! FIND THE VOLUME OF EACH FIGURE. ROUND YOUR ANSWERS TO THE NEAREST 10TH, IF NESSISARY.
Question 6 options:
1572 yd3
1272.3 yd3
1197.9 yd3
5089.4 yd3
Answer:
1272.3 yd^3
Step-by-step explanation:
Radius = 9 yd
V = radius^2 x pI x height = 9^2 x 3,14 x 5 = 1272.3 yd^3
15. Use the Pythagorean Theorem to find the missing
measure.
26 cm
a
24 cm
a.
b.
2 cm
100 cm
10 cm
d. 35.38 cm
c.
Answer:
The missing figure is 26 cm.
Step-by-step explanation:
The Pythagorean theorem consists of a formula [tex]a^2+b^2=c^2[/tex]
Therefore, the missing figure is 26 cm.
PLEASE HELP WITH GEOMETRY!!
Answer:
x = 14.1
Step-by-step explanation:
sin (40) = x/22
x = 22 (sin(40))
x = 14.1
4x-36<-12
i need help on this
Answer:
x<6
Step-by-step explanation:
4x-36<-12
Add 36 to each side
4x-36+36<-12+36
4x < 24
Divide each side by 4
4x/4 < 24/4
x<6
Answer:
x<6
Step-by-step explanation:
Reverse order of operations SADMEP
4x<24 (add 36 to both sides)
x<6 (divide both sides by 4)
If −12 − 2x = −42, then 3x = _____?
Answer:
-2x =-42+12
-2x =-30
x =15
3x=15×3
=45
PLEASE ANSWER!!! DUE TOMORROW!!
the top one is the answer
Help quick please !!!!!!!
Answer: y=3x
Step-by-step explanation:
Remember rise over run so go up until the next perfect cross and over. In this case you go up 3 and over 1
Hope this helps