Answer:
47
Step-by-step explanation:
Formula for finding nth term of an arithemetic sequence is:
tn = t1 + (n-1) d
Where t1 is the first term, n is the specific term, and d is the common difference.
Plug numbers into the formula and solve:
t8 = 5 + (8-1)6
t8 = 47
Please help find the volume by using 3.14 as pi
Answer:
P
v = 794.0275 in³
Q
v = 1,307.81 in³
Step-by-step explanation:
volume of cone
v = πr²h
----------------------------
cylinder P
v = 3.14 * (4.25²) * 14
v = 794.0275 in³
-----------------------------
cylinder Q
v = 3.14 * (7²) * 8.5
v = 1,307.81 in³
f the measure of angle BCD is 67.4°, the measure of angle ABC is °. If the length of base AB is 80 feet, the length of DC is feet.
Answer:
[tex]\angle ABC = 112.6^o[/tex]
[tex]DE =105[/tex]
Step-by-step explanation:
Given
See attachment for complete question
Required
[tex]\angle ABC[/tex] and side length DC
Calculating [tex]\angle ABC[/tex]
First, calculate [tex]\angle EBC[/tex]
[tex]\angle EBC + \angle BCE + 90 = 180[/tex] --- angles in a triang;e
[tex]\angle BCE =\angle BCD = 67.4[/tex]
So:
[tex]\angle EBC + 67.4+ 90 = 180[/tex]
[tex]\angle EBC + 157.4 = 180[/tex]
Collect like terms
[tex]\angle EBC = 180-157.4[/tex]
[tex]\angle EBC = 22.6[/tex]
So:
[tex]\angle ABC = \angle EBC +90[/tex]
[tex]\angle ABC = 22.6 +90[/tex]
[tex]\angle ABC = 112.6^o[/tex]
Calculating DC
First, calculate EC using Pythagoras theorem.
[tex]BC^2 = BE^2 + EC^2[/tex]
[tex]65^2 = 60^2 + EC^2[/tex]
[tex]4225 = 3600 + EC^2[/tex]
Collect like terms
[tex]EC^2 =4225 - 3600[/tex]
[tex]EC^2 =625[/tex]
Take square roots
[tex]EC = 25[/tex]
Length DC is:
[tex]DC = DE + EC[/tex]
Where
[tex]DE = AB =80[/tex]
So:
[tex]DE =80+25[/tex]
[tex]DE =105[/tex]
Answer:
ABC= 112.6
DC= 105
Step-by-step explanation:
got it right on edge!
3. The total cost of 3 Nintendo Switch games is $89.97. If
each game costs the same amount, write an equation that
can be used to determine g, the cost of 1 game.
Answer:
3x=89.97
x=89.97/3
x=29.99 -- price of one
Step-by-step explanation:
Given the functions f(x) = 2x + 1 and g(x) = 5x +4, find m(x) = f(x) - g(x)?
А. m(x) = 3x + 3
B. m(x) = -3x + 5
C. m(x) = -3x - 3
D. m(x) = 7x + 5
Answer:
m(x) =-3x -3
Step-by-step explanation:
f(x) = 2x + 1
g(x) = 5x +4
f(x) -g(x) = 2x + 1 -( 5x +4)
Distribute the minus sign
f(x) -g(x) = 2x + 1 -5x -4
Combine like terms
= 2x-5x +1 -4
= -3x -3
.. The solution of which quadratic Inequality is shown on the number line?
O (3+6) (3 – 4) <0
O (2-6) (2 - 4) > 0
O (30 – 6)(+4) <0.
O (30 – 6) (x – 4) <0
Explanation:
If you graphed (x-6)(x+4) on the xy plane, then you'll see a parabola forming. This parabola has roots at x = -4 and x = 6. Between these roots, the curve is below the x axis. This visually shows that (x-6)(x+4) is negative when -4 < x < 6.
Furthermore, we can say that (x-6)(x+4) is negative or zero when [tex]-4 \le x \le 6[/tex] which corresponds directly to the number line graph your teacher gave you. The endpoints being closed circles mean "include this as part of the shaded solution set".
Raju's father is 26 years younger than raju's grandfather and 29 years older than raju. The sum of the ages of all the three is 135 years. Also raju's grandmother is 4 times raju's age and his sister is 7 times younger than him
Answer:
Raju = 17 years
Raju's father age = 46 years
Raju's grandfather age = 72 years
Raju's grandmother = 68 years
His sister = 10 years old
Step-by-step explanation:
Raju’s father is 26 years younger than Raju’s grandfather and 29 years older than Raju. The sum of the ages of all the three is 135 years. Also, Raju's Grandmother is four times of Raju’s age and his sister is 7 years younger than him.
Let
Raju's age = x
Raju's father age = x + 29
Raju's grandfather age = (x + 29) + 26
Total ages = 135
(x) + (x + 29) + (x + 29) + 26 = 135
x + x + 29 + x + 29 + 26 = 135
3x + 84 = 135
3x = 135 - 84
3x = 51
x = 51 /3
x = 17
Raju's age = x = 17 years
Raju's grandmother = 4 times raju's age
= 4 × 17 years
= 68 years
his sister = 7 years younger than him.
= 17 - 7
= 10 years old
Raju's father age = x + 29
= 17 + 29
= 46 years
Raju's grandfather age = (x + 29) + 26
= 46 + 26
= 72 years
Five tickets are selected at random, and those five people win a gift card. If 231 tickets were purchased for the fundraiser, how many different groups of winners can there be?
Answer:
46.2
Step-by-step explanation:
If you divide 231 by 5 then you get that answer.
HELP ME I'LL MARK BRAINLIESTS AND PLUS 65 PTS!!!
Answer:
114
Step-by-step explanation:
Apply triangle outer angle theorem.
24+90=114.
Angle 1 equal 114
A ladder of length 8m rests against a wall so that the angle bsetween the ladder and wall is 45 degree .How far is the base of the ladder from the wall?
2(5x + 3) + 2 = 10x + 6
A-one solution
B-infinitely many solutions
c-no solution
Answer:
C
Step-by-step explanation:
Given
2(5x + 3) + 2 = 10x + 6 ← distribute and simplify left side
10x + 6 + 2 = 10x + 6
10x + 8 = 10x + 6 ( subtract 6 from both sides )
10x + 2 = 10x ( subtract 10x from both sides )
2 = 0 ← not possible
This indicates the equation has no solution
Answer:
no solutions
Step-by-step explanation:
2(5x + 3) + 2 = 10x + 6
* solve for x *
step 1 distribute the 2 to 5x and 3
2 * 5x = 10x
2*3=6
we now have 10x + 6 + 2 = 10x + 6
step 2 combine like terms
6 + 2 = 8
we now have 10x + 8 = 10x + 6
step 3 subtract 10x from each side
10x-10x=0
10x-10x=0
we're left with 8 = 6
8 is not equal to 6 meaning that there are no solutions to the equation
What is the estimated monthly expenses for a veterinarian?
Answer:
Roughly $50-$400
Step-by-step explanation:
Some expenses include:
- Vitamins
- Medication for fleas/heartworms
- Spaying/neutering
Because the variable m does not appear in Ax + By = C, equations in this form make it impossible to determine the line's slope m. If the statement does not make sense, then how can you find m and what would it be? Show your work.
Answer:
Step-by-step explanation:
The statetement does not make sense because we can rewrite the equation of the line in the slope intercept form
1) add -Ax at both members
Ax + By - Ax = -Ax + C
By = -Ax + C
2) divide both members by B (assuming that its value is not 0)
y = (-A/B) x + C/B
the slope of the line is the therm that multiply x, so
m = -A/B
PLS HELP
A train arrives at a station every 2 hours. A bus arrives at the same station every 3 hours. A train and a bus arrive at 1 pm. When is the next time of day that a train and a bus will arrive together?
Answer:
7pm
Step-by-step explanation:
A train arrives every 2 hours and a bus every 3 so in 6 hours time a bus and a train will arrive together
What is the surface area, in cm2, of the figure?
Answer:
292 cm²
Step-by-step explanation:
the area = 2×(8×6 +8×7 + 6×7)
= 2×(48+56+42)
= 2×146
= 292
I got 7 but I’m confused
Answer:
27
Step-by-step explanation:
3v+6=5v-8
3v+14=5v
14=2v
v=7
3*7+6
21+6
27
u were right on 7 u just need to plug it into the equation
helppppp meeee, I need all three, I need an explanation tooo
Answer:
Step-by-step explanation:
for the first one: d
Can someone help with this problem! Please don't scam
Answer:
KQ = 11.5 units
Step-by-step explanation:
In triangle ABC,
K is the point of intersection of medians AP and BQ.
Therefore, point K will be the centroid of the triangle.
Property of the centroid of a triangle,
" Centroid of a triangle divides the median in the ratio of 2 : 1"
Ratio of BK and KQ = 2 : 1
[tex]\frac{BK}{KQ}=\frac{2}{1}[/tex]
[tex]\frac{23}{KQ}= \frac{2}{1}[/tex]
[tex]KQ = \frac{23}{2}[/tex]
KQ = 11.5
Therefore, length of segment KQ = 11.5 units
A farmer takes note of how many eggs he collects each day for 20 days and creates a boxplot from his data
(below). How many of the days did he collect MORE than 3 eggs?
Answer:
C.
Step-by-step explanation:
Each part of the boxplot is 25%.
At 3, Q1 starts.
Q1 + mean + Q3 = 75%
0.75 * 20 = 15 days
can you please help? f(x)=x^2 what is g(x)?
Answer:
D
Step-by-step explanation:
g(x) will be -x^2-3. The minus in front of the x makes the graph flip upside down, and the "-3" indicates its position on the y-axis. Hope this helps!!
Answer: Choice D. g(x) = -x^2-3
==============================================
Explanation:
Start with the curve y = x^2.
Reflect it over the horizontal x axis to get y = -x^2
Then shift everything down 3 units to arrive at g(x) = -x^2-3
You can use a tool like Desmos or GeoGebra or anything similar to help verify this.
Find the simplified quotient
27 +51 +3
12-37-4
.
47 +27 -6
X-8x +16
о
1-4
21-2
O
1
27-2
O
X-4
y-
Answer:
y24 x66
Step-by-step explanation:
Yeah!! than vsj haha yeamKah
Please help me with this math no weird answers
Answer:
4a 8v+3
4b 50y+63
5a 11v+8
5b 10y-82
6a 14p
6b 36y-5
7a -3z
7b 0
Answer:
4a.
7v+3-(-1)v
7v+3+v
8v+3
4b.
-7+10(5y+7)
-7+50y+70
50y+63
5a.
-3v+4v+8+10v
11v+8
5b.
10(y-9)+8
10y-90+8
10y-82
6a.
p+9p+p+p+p+p
14p
6.b.
4+9(-4y-1)
4-36y-9
-36y-5
7.a.
-5z+2z
-3z
7b.
-10y+10y
=0
It typically takes Mr. Dunn 20 minutes to get to school, but it took him 40% longer today. How long did it take Mr. Dunn to get to school today?
EXPLAIN THE ANSWER
Answer:
28 minutes
Step-by-step explanation:
40 percent is 0.4 and 100 percent is 1. Since you have the full 100% of 20 plus the increase of 40% you have to multiply by 20 by 1.4
1.4*20 = 28
Jason has 208 baseball cards. This is 52 less than the number of cards that Robert has.
Which equation below best represents this scenario?
A) R+ 208= 52
B) R- 52 = 208
C) 52 - R = 208
D) 208 - 52 = R
Answer:
B) R - 52 = 208
Step-by-step explanation:
Robert has 52 more cards than Jason, who has 208, so Robert has 208 + 52 cards. This can be turned into:
R = 208 + 52
then subtract 52 from both sides:
R - 52 = 208 + 52 - 52
R - 52 = 208
and that's the answer
30. One of the games at a carnival involves trying to ring a bell with a ball by hitting a lever that propels the ball into the air. The height of the ball is modeled by the equation h(t) = -16t2 + 39t. What is the real world or practical domain of this function?
True or false question. In Standard form, the number 3.5 *10^4 is 3,500.
Answer: False
Step-by-step explanation:
10^4=10000. 10000*3,5=35000.
Answer:
No, you missed a zero.
Step-by-step explanation:
In the given case, as we have the number as
3.5 × 10^4, we need to move decimal digit to the right by three points. For this, let us write 3.5 as 3.50000 and moving decimal point four points to right means
35000.0
Hence in standard notation
3.5 × 10^4=35,000
Pls help with this someone i'm struggling with this!
Answer:
x=9
Step-by-step explanation:
Remove the radical by raising each side to the index of the radical.
Answer:
x=9
Step-by-step explanation:
Because if you remove the radical by raising each side to the index of the radical you get x=9.
Robert says that he can draw an obtuse equilateral triangle. Jonas says that is not possible. Who is correct and why?
A.
Robert is correct as long as the other two angles are acute and all of the sides are the same length.
B.
Jonas is correct because an equilateral triangle has 3 acute angles and all sides the same length.
C.
Robert is correct because all equilateral triangles have 1 obtuse angle and all sides the same length.
D.
Jonas is correct because equilateral triangles have one right angle and two sides the same length.
Answer:
The correct answer is B. Jonas is correct because an equilateral triangle has 3 acute angles and all sides the same lenght
1.Which triangle are acute 2.Which triangles are obtuse 3.Which triangles are scalene 4.Which triangles are isosceles 5.Which triangles are equilateral? 6.Which are right triangles?
Answer:
1.C
2.D
3.all angles need to be different
4.A
5.E
6.B
Step-by-step explanation:
HELP THIS IS DUE TODAY I WILL NAME YOU THE BRAILIEST!!!!!!!
Determine the equation of the circle graphed below.
Answer:
[tex](x-4)^2+(y+3)^2=20[/tex]
Step-by-step explanation:
The equation of a circle with center [tex](h,k)[/tex] and radius [tex]r[/tex] is given by [tex](x-h)^2+(y-k)^2=r^2[/tex].
What we know:
Center at [tex](4,-3)[/tex]To find the radius, we can use the distance formula. For points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex], the distance between them is [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex].
Let
[tex](x_1,y_1)\implies (-4, -3),\\(x_2,y_2)\implies (8,-1)[/tex]
[tex]r=\sqrt{(8-4)^2+(-1-(-3))^2},\\r=\sqrt{4^2+2^2},\\r=\sqrt{20}=2\sqrt{5}[/tex]
Thus, the equation of this circle is
[tex](x-4)^2+(y-(-3))^2=\sqrt{20}^2,\\\boxed{(x-4)^2+(y+3)^2=20}[/tex]
Beth filled 72 jars with paint. If each jar holds 1 pint of paint, how many gallons of paint did beth use?
Answer:
9 gallons were used
Step-by-step explanation:
There are 8 pints to 1 gallon
72 jars holding 1 pint each means 72 pints total
72/8=9
Beth used 9 gallons
P.S. Can I get brainlist