Answer:
a(66) = -10 + 17(65) = 1095
Step-by-step explanation:
We know that this is an arithmetic sequence. Subtracting -10 from 7 results in 17; subtracting 7 from 24 also results in 17. Thus, the common difference, d, is 17. The first term is -10.
The general form of an arithmetic sequence is a(n) = a(1) + d(n - 1).
Substituting -10 for a(1) and 17 for d, we get:
a(n) = -10 + 17(n - 1)
Now let n = 66: a(66) = -10 + 17(66 - 1), or a(66) = -10 + 17(65) = 1095
How to turn improper fractions into mixed numbers.
Answer:
To convert an improper fraction to a mixed fraction, divide the numerator by the denominator, write down the quotient as the whole number and the remainder as the numerator on top of the same denominator. Let us see an example of this conversion
Step-by-step explanation:
Convert 23/4 into a mixed fraction
Find the missing side.
09
9.5
10
C
7 cm
10.6
8 cm
HELP PLEASE
Answer:a
Step-by-step explanation:
i know
Geri jogs every fourth day. Sarah jogs along the same path every fifth day. Both girls jog on the path on July 7. What is the next date they will both jog on the path?
Answer:
The next day they will both run on the path is July 27th.
We can find this by making columns writing every date and seeing when they intersect.
4 5
8 10
12 15
16 20
20
We can then add this to the current date to find the date they will next run together.
Step-by-step explanation:
hope this helps. . . <3
good luck! UwU
(4)/(12)= ()/(3) what makes this equivalent
Answer:
1/3
Step-by-step explanation:
4/12 divide by 4 to the top and bottom you get 1/3
[tex]\dfrac 4{12} = \dfrac{ 4 \times \tfrac 14 }{12 \times \tfrac 14} = \dfrac 13\\\\\\\\\text{Hence the answer is 1}[/tex]
what is the solution to this system of equations?
5x-y=40
y=2x-4
A) 20, 12
B) -20, 12
C) 12, -20
D) 12, 20
can someone help me plsss
Answer:
c=23/24
Step-by-step explanation:
c+3/8=1/1/3
c+3/8=4/3
c+9/24=32/24
c=32/24-9/24
=23/24
If DEF=GJH, find each missing measure
a) DF =
d) F =
b) JH =
|||
e) m&G =
c) GJ =
f) m =
I need help it’s due in 20 minutes:(
Congruent triangles have equal corresponding sides and angles.
The measure of the side lengths are: [tex]\mathbf{DF = 16m}[/tex], [tex]\mathbf{JH = 14m}[/tex] and [tex]\mathbf{GJ = 19m}[/tex]The measure of the angles are: [tex]\mathbf{\angle G = 34^o}[/tex], [tex]\mathbf{\angle J = 41^o}[/tex] and [tex]\mathbf{\angle F = 105^o}[/tex]The given parameters are:
[tex]\mathbf{\triangle D EF \cong \triangle GJH}[/tex]
[tex]\mathbf{EF = 14m}[/tex]
[tex]\mathbf{D E = 19m}[/tex]
[tex]\mathbf{GH = 16m}[/tex]
[tex]\mathbf{\angle D = 34^o}[/tex]
[tex]\mathbf{\angle H = 105^o}[/tex]
[tex]\mathbf{\triangle D EF \cong \triangle GJH}[/tex] means that triangles DEF and GHJ are congruent triangles.
So, we have:
[tex]\mathbf{DF = GH}[/tex]
This gives
[tex]\mathbf{DF = 16m}[/tex]
Also, we have:
[tex]\mathbf{JH = EF}[/tex]
This gives
[tex]\mathbf{JH = 14m}[/tex]
Also, we have:
[tex]\mathbf{GJ = DE}[/tex]
This gives
[tex]\mathbf{GJ = 19m}[/tex]
The following angles are also congruent
[tex]\mathbf{\angle F = \angle H}[/tex]
This gives
[tex]\mathbf{\angle F = 105^o}[/tex]
Also, we have:
[tex]\mathbf{\angle G = \angle D}[/tex]
This gives
[tex]\mathbf{\angle G = 34^o}[/tex]
The measure of angle J is then calculated using
[tex]\mathbf{\angle J + \angle H + \angle G = 180^o}[/tex]
This gives
[tex]\mathbf{\angle J + 105 + 34= 180^o}[/tex]
[tex]\mathbf{\angle J + 139= 180^o}[/tex]
Subtract 139 from both sides
[tex]\mathbf{\angle J = 41^o}[/tex]
Read more about congruent triangles at:
https://brainly.com/question/4364353
Find the slope of the line y=5x+4
=
5
x
+
4
Answer:
5 is the slope of the line
Answer:
slope = 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 5x + 4 ← is in slope- intercept form
with slope m = 5
PLEASE HELP ME OUT
I WILL GIVE BRAINLIEST
PERFORM THE FOLLOWING CONVERSIONS USING UNIT FACTORING
400mg = _____kg
30 cm = _____ mm
A garden is in the shape of a square of length 353
m. Find it's (i)perimeter
and (ii) area.
Answer:
Step-by-step explanation:
Perimeter = P = 4a where a is each side of square
P = 4(353) = 1412
Area = a^2 where a is each side
A = (353)^2 = 124,609
In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If 1/4
of
the drink iS apple juice and 2/5 is orange juice then write the ratio of cranberry juice to apple
juice to orange juice in its simplest form.
Answer:
7/20 cranberry
Step-by-step explanation:
Answer:
7/20 is the answer
Step-by-step explanation:
math!!
WHAT IS THE AREA OF THE CURVED SURFACE OF A CYLINDER OF BASE RADIUS 4 CM AND HEIGHT 10 CM
Answer:
The curved surface area of cylinder is 251.42 cm².
Step-by-step explanation:
Here's the required formula to find the curved surface area of cylinder :
[tex]\star\underline{\boxed{\sf{CSA_{(Cylinder)}} = 2\pi rh}}[/tex]
Csa = Curved surface areaπ = 22/7r = radius h = heightSubstituting all the given values in the formula to find the curved surface area of cylinder :
[tex]\implies{\tt{CSA_{(Cylinder)}= 2\pi rh}}[/tex]
[tex]{\implies{\tt{CSA_{(Cylinder)} = 2 \times \dfrac{22}{7} \times 4 \times 10}}}[/tex]
[tex]{\implies{\tt{CSA_{(Cylinder)} = 2 \times \dfrac{22}{7} \times 40}}}[/tex]
[tex]{\implies{\tt{CSA_{(Cylinder)} = \dfrac{2 \times 22 \times 40}{7}}}}[/tex]
[tex]{\implies{\tt{CSA_{(Cylinder)} = \dfrac{44 \times 40}{7}}}}[/tex]
[tex]{\implies{\tt{CSA_{(Cylinder)}= \dfrac{1760}{7}}}}[/tex]
[tex]{\implies{\tt{CSA_{(Cylinder)} \approx 251.42 }}}[/tex]
[tex]{\star{\underline{\boxed{\tt{\red{CSA_{(Cylinder)} \approx 251.42 \: {cm}^{2}}}}}}}[/tex]
Hence, the curved surface area of cylinder is 251.42 cm².
[tex]\rule{300}{2.5}[/tex]
Pls hurry on a test
Answer:
B
Step-by-step explanation:
Meet at the middle of the two lines
Answer:
pretty sure it's c
Step-by-step explanation:
when we learned that, we're always supposed to start with x which in this occasion is 4 and y is 2
f – 4 ≤ 9 for f. solve for the
Answer:
f>36
Step-by-step explanation:
9
<
f
4
Multiply both sides by
4
.
9
⋅
4
<
f
4
⋅
4
Simplify.
Tap for more steps...
36
<
f
Rewrite so
f
is on the left side of the inequality.
f
>
36
The result can be shown in multiple forms.
Inequality Form:
f
>
36
Interval Notation:
(
36
,
∞
)
Answer:
f={∞,13)
Step-by-step explanation:
f - 4 ≤ 9
f - 4-9 ≤ 0
f-13 ≤0
f=13
13- 4 ≤ 9
9 ≤ 9 √(f>13) f-4 ≤9
Find a number less than 13
f=12
12-4 ≤9
8≤9 √(f<13) f-4 ≤9
Find a number greater than 13
14
14-4 ≤9
10 ≤9 ×Please I help I'll brainliest!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
c^2 = a^2 + b^2
a = 4
b = ?
c = 8
8^2 = 4^2 + b^2
64 = 16 + b^2
48 = b^2
b = sqrt(48)
b = 4√3
5^-15 rewritten using a positive exponent.
Answer: 1/5 to the power of 15
A researcher is interested in understanding whether the number of people in a room affects how much a person eats. During the experiment, the researcher varies the number of people in the room and records how much each participant eats. This is an example of:
Answer:
quantitative manipulation of the independent variable
Emma but two identical bottles of shampoo. She uses 3/8 of one of them at home, and uses 7/10 of all of the remaining while she’s on Hollidays. In total, how much shampoo remains?
Answer:
37/40
Step-by-step explanation:
3/8 7/10
80/40 - 15/40 - 28/40 = 37/40
two whole shampoo - uses at home - uses on holiday = left
please help will mark as brainlist
Answer:
176
Step-by-step explanation:
Answer:
[tex]m[/tex]∠STV = 43°
Step-by-step explanation:
It has the corresponding relation with ∠UTV
A student is running a 10-kilometer race. He runs 1 kilometer every 4 minutes. Select the function that describes his distance from the finish line after x minutes.
f(x) = 1 over 4x + 4
f(x) = − 1 over 10x + 4
f(x) = 1 over 10x + 10
f(x) = − 1 over 4x + 10
-------------------------------------------
I thought it was c but I was wrong. Could anybody help?
Answer:
I think it might be d because it is the only one with 4x and 10
Janna runs at a steady pace of 7 minutes per mile. Is the relationship between the number of minutes she ran and the
distance she covered proportional?
Answer:
Yes
Step-by-step explanation:
Janna runs at a steady pace of 7 minutes per mile. Is the relationship between the number of miles she ran and the distance she covered proportional - Yes, this is proportional.
solve the equation.
[tex]\sqrt{x(x+2)} = 0[/tex]
[tex]\sqrt{x(x+2)} = 0 <=> x(x+2)=0\\<=> x=0 /or/ x+2=0 <=> x=0 /or/ x=-2[/tex]
ok done. Thank to me :>
PLEASE HELP ME FOR 25 POINTS NO LINKS!
Answer:
The answer is C. Yes, Abc= Adc
Answer:
Yes, ABC is congruent to CDA by SSS
Your answer is correct; and here's why:
side AB corresponds to side CD.
and side BC corresponds to DA
So ABC = CDA.. and of course they also share AC which makes it congruent by side side side congruency.
Step-by-step explanation:
Solve the literal equation for x.
k= nx - 3x
answer:X=k/n-3
explain:move all terms to the left side and set equal to zero. then set each factor equ to zero!
I hope this helps
opposite reciprocal of 1/3
Answer:
-1/3
Step-by-step explanation:
hope this helps
Is this a function? Easy points
Brent leaves school to go home. He walks 10 blocks north and then 6 blocks west. If Brent could walk in a straight line to the school, what is the exact distance between Brent and the school?
:)))) NO NEED SOLUTION.
Monica deposits $300 into a savings account that pays a simple interest rate of 3.9%. Paul deposits 400$ into a savings account that pays a simple interest rate of 3.2%. Monica says that she will earn more interest in 1 year because her interest rate is higher. Is she correct? Justify your response.
Answer:
For Monica : Principle = $300 rate : 3.4% time 1 yr
Simple interest = Prt/100 = 300*3.4*1/100 = 1020/100= $ 10.2
For Paul : Principle = $400 rate : 2.8% time 1 yr
Simple interest = Prt/100 = 400*2.8*1/100 = 1120/100= $ 11.2
Step-by-step explanation:
Calculate how many guesses in binary search algorithm.
Answer:
In the case of a decimal number, we round down to find the actual number of guesses. Therefore, for a 1000-element array, binary search would require at most 10 guesses. (which is 2,097,152), so we would need at most 22 guesses.
Step-by-step explanation:
Please help (picture is linked)
Answer:
[tex]\LARGE\mathsf{slope\:=\:\frac{9}{5}}[/tex]
y-intercept: (0, 32), b = 32
[tex]\LARGE\mathsf{y\:=\:\frac{9}{5}x\:+\:32}[/tex]
Step-by-step explanation:
Given (0, 32) as the freezing point of water in Celsius and Farenheit, and (100, 212) as the boiling point of water in Celsius and Farenheit.
SlopeUse these points to solve for the slope of their line.
Let (x₁, y₁) = (0, 32)
(x₂, y₂) = (100, 212)
Substitute these points into the following formula for the slope:
[tex]\LARGE\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}[/tex]
[tex]\LARGE\mathsf{m = \frac {(212\: -\: 32)}{(100\: -\: 0)}\:= \frac {180}{100}}[/tex]
[tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex]
Therefore, the slope of the line is [tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex].
Y-intercept:Next, the given problem asks for the value of the y-intercept. The y-intercept is the point on the graph where it crosses the y-axis, with its coordinates occurring at point, (0, b ). Thus, the y-intercept provides the value of y when its corresponding x-coordinate is 0.
To solve for the y-intercept, b, we must choose one of the given points, (100, 212), and the slope, [tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex], and substitute these values into the slope-intercept form, y = mx + b:
y = mx + b
[tex]\LARGE\mathsf{212\:=\:\frac{9}{5}(100)\:+\+b}[/tex]
212 = 180 + b
Subtract 180 from both sides to isolate b:
212 - 180 = 180 - 180 + b
32 = b
The y-intercept is (0, 32), where b = 32.
Slope-intercept form:Given the slope, [tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex], and the y-intercept, b = 32:
The linear equation in slope-intercept form is: [tex]\LARGE\mathsf{y\:=\:\frac{9}{5}x\:+\:32}[/tex]
