Answer:
should be 563
Step-by-step explanation:
11,19,27,35, 43, 51, 59, 67, 75, 83,
91, 99, 107, 115, 123, 131, 139, 147, 155, 163,
171, 179, 187, 195, 203, 211, 219, 227, 235, 243
(there is a notable difference of 80 on each row)
243+(80x4)=243+320=563
Answer:
563
Step-by-step explanation:
This is an arithmetic sequence since there is a common difference between each term. In this case, adding to the previous term in the sequence gives the next term. In other words, .
Formula;
L = a + (n - 1)*d
Givens
n = 70
a = 11
d = 8
Solution;
t = 11 + (70 - 1)*8
t = 11 + 69*8
t = 11+ 552
t = 563
~Learn with lenvy~
Solve for x. 4x - 8 = 2x - 6
Answer:
x=7
Step-by-step explanation:
4x-8=2x-6
4x-2x=-6+8
2x=-14(divide both the sides by 2)
x=7
At what rate percent per annum will the simple interest on Rs 15000 be Rs 3000 in ? 2 1/2 years
Answer:
Rate=8%
Step-by-step explanation:
Step 1: Write the given terms
Principal (p)=Rs15000
Rate(r)=?
Time(t)=2 1/2=5/2=2.5
Interest(i)=Rs3000
Step 2: Write the formula for calculating Simple interest
[tex]i = \frac{p \times r \times t}{100} [/tex]
Step 3: Make Rate(r) the subject of the equation in Step 2
[tex]by \: cross \: multiplcation \\ 100i = prt \\ divide \: both \: sides \: by \: pt \: to \: have \\ \frac{100i}{pt} = r[/tex]
Step 4: Use the new equation for r to get the rate by substitution
[tex]r = \frac{100i}{pt} \\ r = \frac{100 \times 3000}{15000 \times 2.5} \\ r = \frac{300000}{37500} \\ r = 8[/tex]
Hence, the rate of the simple interest is 8%
5\6 of 45kg plz can u tell me ans
If 8 superscript y baseline = 16 superscript y 2, what is the value of y?
The value of unknown number y for the equation 8 superscript y baseline = 16 superscript (y+2) is -8.
How to simplify power raised by another number?When the power of a number is raised by another number, then multiply both the powers and the result of this product keep as the power of the number.
Let suppose there is a number a. For this number the above rule can be given as,
[tex](a^m)^n=a^{m\times n}\\(a^m)^n=a^{mn}[/tex]
The expression which consist unknown variable y is given as,
[tex]8^y=16^{y+2}[/tex]
The above equation can be written as,
[tex](2\times2\times2)^y=(2\times2\times2\times2)^{y+2}\\(2^3)^y=(2^4)^{y+2}\\(2)^{3y}=(2^)^{4y+8}[/tex]
As the base of both side of the equation is same. Thus, the value of their exponent can be compared.
[tex]3y=4y+8\\4y-3y=-8\\y=-8[/tex]
Thus, the value of unknown number y for the equation 8 superscript y baseline = 16 superscript (y+2) is -8.
Learn more about the power raised by another number here;
https://brainly.com/question/960886
How to simplify 3²y×3⁴y?
Step-by-step explanation:
please mark me as brainlest
In triangle dat, m < d = 27, m < a = 105, and t=21. find d to the nearest integer.
Answer:
d = 13
Step-by-step explanation:
Given:
m ∠ d = 27°
m ∠ a = 105°
t = 21°
Look at the picture I posted
Use sine law:
[tex]\mathrm{\dfrac{ sin\:a }{ A } = \dfrac{ sin\:B }{ b }}[/tex]
∠T = 180° - 27° - 105°
∠T = 48°
[tex]\mathrm{\dfrac{ sin\:48\° }{ 21 } = \dfrac{ sin\:D }{ d }}[/tex]
[tex]\mathrm{\dfrac{ sin\:48\° }{ 21 } = \dfrac{ sin\:27 }{ d }}[/tex]
Cross multiply
[tex]\mathrm{{d\:sin\:48\°} = { 21\:sin\:27\°}}[/tex]
Solve for d
[tex]\mathrm{d = \dfrac{ 21\:sin\:27\° }{ sin\:48\° }}[/tex]
Evaluate trigonometric functions in the problem
[tex]\mathrm{d = \dfrac{ 21 \times 0.453990499739547 }{ 0.743144825477394 }}[/tex]
Multiply 21 and 0.453990499739547 to get 9.533800494530487
[tex]\mathrm{d = \dfrac{ 9.533800494530487 }{ 0.74314482547394 }}[/tex]
Divide 9.533800494530487 by 0.743144825477394
[tex]\mathrm{d = 12.828993983}[/tex]
d = 13
Rounded to the nearest integer: 13
Which three temperature readings all mean the same thing?
C
273 Kelvin, 100 degrees Celsius, 212 degrees Fahrenheit
O
273 Kelvin, 0 degrees Celsius, 32 degrees Fahrenheit
O
100 Kelvin, 0 degrees Celsius, 32 degrees Fahrenheit
O
373 Kelvin, 100 degrees Celsius, 273 degrees Fahrenheit
Answer:
273 K, 0 C, 32 F
This is freezing temperature for all 3 systems.
There were 6 boys for every 9 girls at Winnsboro High School last year. If there were 480 students at the school, how many were girls and how many were boys?
Answer:
288 girls and 192 boys
Step-by-step explanation:
Ratio of boys to girls is 6:9
So, first find the total parts they are dividied into. 6+9= 15
480/15= 32. So one part has 32 students.
The boys are of 6 parts of 15 (as in the ratio). So 32 x 6= 192 boys.
girls are 32 x 9= 288 girls
they add to 480.
CAN SOMEONE HELP ME OUT PLEASE AND THANK YOU
Answer:
i think c no is the correct answer
10) y-5=-5/3(x+3)
A) x-2y = 2
C) 3x - 2y=0
B) 5x + 3y - 0
D) 3x +2y=0
Answer:
A
Step-by-step explanation:
pls answer both questions for brainliest :)
Step-by-step explanation:
I explained your answer in the sent photo
If y=tanx-cotx, then dy/dx =
Answer:
dy/dx=sec^2^(x)-(-csc^2(x)
=sec^2(x)+ csc^2(x)
so solution is E
Answer:
e) sec^2x+csc^2x
1) someone answer this please
Answer:
x = 15
y = 1
Step-by-step explanation:
How many and of which kind of roots does the equation f(x) = 2x4 – 9.23 + 1722 – 16x + 6 have?
A. 4 real
OB. 4 real; 4 complex
C. 2 real; 2 complex
OD. 4 complex
Reset Selection
Answer:
D, it admits 4 complex roots
Step-by-step explanation:
Based on what you've written;
f(x) can be rewritten by adding the light terms together as;
f(x)=2x⁴-16x+1768.68
By graphing this function on an app, since i cannot possibly simplify this equation or use a calculator;
we observe that this function does not intersect the x-axis at any point, hence it does not admit any real roots.
So your answer must be D.
ps: Regardless if you forgot any x's in your equation and if f(x) was actually defined by,
f(x)=2x⁴-9.32x³+1772x²-16x+6
This equation also admits 4 complex roots and does not intersect the x-axis
3. If each interior angle of a regular polygon has a measure
of 168.75°, find the sum of the interior angles.
Answer:
2.13333
Step-by-step explanation:
2x180 over 168.75
I AM NOT SURE OF THE ANSWER THO
PLEASE HELP! I WILL GIVE BRAINLIEST AND NO LINKS PLEASE
Answer: 10
Step-by-step explanation:
4(2x-5)
distribute
8x-10
8x-10=8x-10
Which of the following points would be a solution to this system of linear inequalities?
Let's plug in both x and y values in the equation and check if the inequality is true...
[tex]\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}[/tex]
[tex](4,1) \\ y \leqslant x + 1 \\ y < - \frac{x}{2} - 1[/tex]
Substitute x as 4 and y as 1
[tex]1 \leqslant 4 + 1 \\ 1 < - \frac{4}{2} - 1[/tex]
[tex]0 \leqslant 4 + 1 \\ 1 < - 2 - 1[/tex]
[tex]0 \leqslant 5 \\ 1 < - 3[/tex]
This is not a solution because both are not true, Only one equation is giving true as answer which is not correct!~[tex]\purple{ \rule{300pt}{3pt}}[/tex]
[tex](0, - 3) \\ y \leqslant x + 1 \\ y < - \frac{x}{2} - 1[/tex]
Substitute x as 0 and y as -3
[tex] - 3 \leqslant 0 + 1 \\ - 3 < - \frac{0}{2} - 1[/tex]
[tex] - 3 \leqslant 1 \\ - 3 < - 0 - 1[/tex]
[tex] - 3 \leqslant 1 \\ - 3 < - 1[/tex]
This is a solution because both are true, Both the equations are true which means the ordered pair is a solution!~Thus, Option B (0,-3) is the correct choice....
Pls help me on this problem I’m confused
Answer:
30 × 24 = 720 inches
since there are 12 inches in a foot
720 ÷ 12 = 60
60 feet converted to yards is 20 yards
50 - 20 = 30
they should have 30 yards of string left over
need help with thiss
Hello!
2( 8u² + uv²w -1) + 2( 5u²-v^6) -2( 2v)
= 16u² + 2uv²w -2 + 10u² - 2v^6 -4v
= 2uv²w - 2v^6 + 26u² -4v -2
If a prime number is greater than 2, it is odd.
TRUE OR FALSE
Answer:
True
Step-by-step explanation:
Answer:
true
Step-by-step explanation:
Ahhh I’m stuck on this one please help
Answer:
1.20 ÷ 4 = 0.30 per unit
Please mark as brainliest;)
Part A: Solve for A
See picture for math work and answer.
Let's look at this system of equations"
2x - 4y = 20
X = 4
Solve the system using substitution or elimination. Show your work and/or explain your reasoning.
PLEASE HELP ME GUYS IM BEGGING YOU AND PLEASE SHOW ME HOW U DID IT!!!
Step-by-step explanation:
Given,
x = 4
2x - 4y = 20
Now,
2x - 4y = 20
or, 2×4 - 4y = 20
or, 8 - 4y = 20
or, -4y = 20 - 8
or, y = 12/-4
or, y = -3
therefore, y = -3
Answer:
(x,y)=(4,-3)
Step-by-step explanation:
2x-4y=20
x=4
substitute the given value of x into the equation
2×4-4y=20
solve the equation for y
y=-3
A possible solution of the system is the ordered pair
(x,y)=(4,-3)
CHECK SOLUTION!
2×4-4×(-3)=20
4=4
simplyfy the quality
20=20
4=4
since all of the qualities are true, the ordered pair is the solution of the system
(x,y)=(4,-3)
hey hi I hope this helps
A shipping box in the shape of a rectangular prism has the volume 15,000 cm3. The length of the box is 30 cm and the width is 25 cm. What is the height of the box?
A. 24 cm
B. 16.7 cm
C. 15 cm
D. 20 cm
Please help
Answer:
D. 20 cm
Step-by-step explanation:
The volume of a rectangular prism is given by the formula ...
V = LWH
__
For the dimensions given, we have ...
15000 cm³ = (30 cm)(25 cm)H
15000/750 cm = H = 20 cm
The height of the box is 20 cm.
1. Below are four sequences. Which of them represent an arithmetic sequence?
1.8, 12, 14, 15, ...
11. 2, 4, 8, 16 ...
III. 5, 5, 5, 5...
IV. -101,-99, -97, -95, ---
A. II only
B. IV only
C. I and III
D. II and IV
Jenna runs 6km per hour, how long would it take her to run 3km
It would take Jenna half an hour, or 30 minutes, to run 3 km.
Hope this helps!
Find the distance between these 2 points: (-4, 5) and (4, 0)
Answer: Length = 9.434
Step-by-step explanation: Input Data :
Point 1
(
x
A
,
y
A
)
= (-4, 5)
Point 2
(
x
B
,
y
B
)
= (4, 0)
Objective :
Find the distance between two given points on a line?
Formula :
Distance between two points =
√
(
x
B
−
x
A
)
2
+
(
y
B
−
y
A
)
2
Solution :
Distance between two points =
√
(
4
−
−
4
)
2
+
(
0
−
5
)
2
=
√
8
2
+
(
−
5
)
2
=
√
64
+
25
=
√
89
= 9.434
Distance between points (-4, 5) and (4, 0) is 9.434
Graph a line with a slope of -3/4
that contains the point (2,3) ?
Answer:
First place a mark at your point. (x=2, y=3)
Step-by-step explanation:
Now when you look at the -3/4 that is called your rise over run so you will go down 3 and over 4 so your next point will be at (x=0, y=6) and then you connect your dots to make a line.
Bonnie deposits $180 in a savings account that earns simple interest at an annual rate of 3%. How much interest does her account earn after 10 years?
Answer: $54.00
Explanation: Three percent of $180.00 is $5.40. So Bonnie receives $5.40 annually. In ten years, she will have $54 (multiply 5.40 by 10).
The Art and History Museum offers a family discount card for a donation of $57. I The table shows the price per person with and without the discount card. Child's Ticket (12 & Under) Price without Discount Card Price with Discount Card 58 $15 $12 Adult's Ticket For what number of visits will the total cost of the visits (including the price of the discount card) be less expensive for a family of 2 adults and 1 child if they have purchased the discount card?
Answer:
8 number of visits will be the total cost of the visits (including the price of the discount card) be less expensive for a family of 2 adults and 1 child if they have purchased the discount card
Step-by-step explanation:
Price without Discount Card Price with Discount Card
Ticket (12 & Under) $10 $8
Adult's Ticket $15 $12
Let x be the number of visits
Price without discount card for 2 adults and 1 child ticket
Price without discount for x visits = [tex]x(15 \times 2+ 10)=40x[/tex]
Price with discount for x visits =[tex]57+ x(12 \times 2+ 8)=57+32x[/tex]
Now to find For what number of visits will the total cost of the visits (including the price of the discount card) be less expensive for a family of 2 adults and 1 child if they have purchased the discount card
57+32x< 40x
57<8x
7.1<x
So, 8 number of visits will be the total cost of the visits (including the price of the discount card) be less expensive for a family of 2 adults and 1 child if they have purchased the discount card