Answer:
2n^2 + n + 4.
Step-by-step explanation:
7, 14, 25, 40, 59
The differences are 7, 11, 15, 19 which is arithmetic sequence so the given sequence is quadratic.
Compile a table:
n 1 2 3 4 5
term 7 14 25 40 59
Diff: 7 11 15 19
Diff: 4 4 4 - this indicates that first part is 2n^2.
2n^2 2 8 18 32 50
term-2n^2 5 6 7 8 9
- the nth term for the last sequence is 5+ (n - 1)d =
= 5 + (n - 1)* 1
= n + 4.
So nth term for the original sequence is 2n^2 + n + 4.
The sum of two numbers is 52. The difference between the same two numbers is 6. Find the two numbers, and then find the PRODUCT of the two numbers.
Intitled Granh
Answer:
its 10
Step-by-step explanation:
Answer:
Let Two Numbers be=x and y
Sum of two Numbers=52
X+Y=52
X=52-Y. (Equation 1)
Difference=2
X-Y=2
.Putting Value of X=52-Y
52-Y-Y=2
52-2y=2
52-2=2y
50=2y
y=50÷2
y=25
We Get Y=25
X=52-Y
X=52-25
X=27
Prove
X+Y=52
27+25=52
X-Y=2
27-25=2
X=27
Y=25
Numbers=27,25
Step-by-step explanation:
:)
The longest side of a triangle is 5 less than 3 times the shortest side and the remaining side is 4 cm. Find the lengths of the triangle if the perimeter is 19 cm
Answer:
4, 5, 10
Step-by-step explanation:
x=shortest side
one side =4
3x-5=long side
(3x-5)+x+4=19
4x-5+4=19
4x=20
x=5
long side = 3(5)-5=10
Can someone explain or tell me the answers please I am stuck! Thank u :)
Step-by-step explanation:
If the denominators are not the same, then you have to use equivalent fractions which do have a common denominator. To do this, you need to find the least common multiple (LCM) of the two denominators.
Can you help me please?
Answer:
yes
Step-by-step explanation:
you can use the vertical line test- for every line going up and down there should only be one point. if there is one and only one, it's a function. if there are more than one per line, then it is not a function.
What is the slope of the line?
To make butter cream use butter and icing sugar in the ratio 1 : 2 . If I use 50g butter, how much icing sugar should I use?
Answer:
100 g
Step-by-step explanation:
You would multiply the butter by 2.
7. At a baseball game Alex bought 5 hotdogs and a bag of chips for $8.50. Scott bought 2 hotdogs and 3 bags of chips for
$6. Each of the boys paid the same price for each hotdog and bag of chips. How much does a hotdog cost? How much
does a bag of chips cost?
S
Answer:
Step-by-step explanation:
5h + c = 8.50
2h + 3c = 6
Multiply first equation by -3, then add it to second equation.
-15h - 3c = -25.50
2h + 3c = 6
------------------------
-13h = -19.50
h = -19.50/(-13) = 1.5
c = 8.50-5h = 1'
hot dog costs $1.50
chips cost $1
Which type of triangle has side measures of 5 cm, 9 cm, and 12.7 cm and one angle measure of 128°?
A.
acute isosceles
B.
obtuse scalene
C.
obtuse isosceles
D.
acute scalene
This question is dealing with classification of triangles based on angles or on number of equal sides.
the triangle is called an Obtuse Scalene Triangle
Now, the classification in terms of angles are;
- Acute angle is when the angle measures between 0 and 90 degrees.
- Obtuse angle is when the angle is greater than 90 but less than 180 degrees.
- right angle is when the angle is exactly 90 degrees.
- Reflex angle is when the angle is greater than 180 but less than 360 degrees.
Now the classification in terms of equal sides;
- Isosceles triangle is one that has 2 equal sides.
- Equilateral triangle is one that has 3 equal sides.
- Scalene triangle is one that has no equal sides.
The lengths of the three sides of the triangle given are;
5 cm, 9 cm, and 12.7 cm
The three sides are not equal and from definition above it is called scalene triangle.
The angle given is 128° and from definition earlier, it is an obtuse angle.
In conclusion, the triangle is called an Obtuse Scalene Triangle
Read more at; brainly.com/question/8704415
If y varies inversely as x and y = 9 when x = 4, find y when x = 6.
Answer: x
=
6
Explanation:
the initial statement is
x
∝
1
y
to convert to an equation multiply by k the constant
of variation
⇒
x
=
k
×
1
y
=
k
y
to find k use the given condition
x
=
4
when
y
=
9
x
=
k
y
⇒
k
=
x
y
=
4
×
9
=
36
equation is
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
∣
∣
∣
2
2
x
=
36
y
2
2
∣
∣
∣
−−−−−−−−−−−−
when
y
=
6
then
x
=
36
6
=
6
Step-by-step explanation:
(this is about Write Expressions)
~~
Eric is 3 times older than his sister Alyssa. Eric is 15 years old. Create an equation to find out Alyssa's age
Answer:
the answer is five because 3 times 5 is 15
Step-by-step explanation:
Answer:
Equation : - three times a number is equal to 15
3x = 15
x = 15 ÷ 3
x = 5
Alguien que me ayude a calcular la medida de un angulo central interno y externo de un heptagono { interno y externo]
Responder:
suma de ángulos interiores = 900 °
Suma de ángulos exteriores = 360 °
Explicación paso a paso:
Un heptágono es un polígono de 7 lados:
Para cualquier polígono con n lados:
El ángulo exterior del polígono suma 360 °
Por lo tanto, la medida de cada ángulo central de un heptágono es:
Suma de ángulos exteriores / número de lados
360 ° ÷ 7
= 51,43 °
El ángulo interior de un polígono se obtiene mediante la relación:
(n - 2) 180 °
Heptágono tiene 7 lados:
(7 - 2) 180 °
5 (180 °)
= 900 °
Por tanto, suma de ángulos interiores = 900 °
Suma de ángulos exteriores = 360 °
Please do number 8 for me.
Answer:
u do 14 x 8 then + 78 then x = your answer
Step-by-step explanation:
sorry I dont have a calculator near me but just put that in!!!
9 (p - 4) = -18 what is the value of the p
Answer:
p=2
Step-by-step explanation:
9(p-4)=-18
9p-36=-18
9p=18
p=2
Answer: p=2
Step-by-step explanation:
Divide -18 by 9 to get (p-4)=-2 and then add the 4 to the 2 to get the answer of 2
Using the exchange rate £1 = $1.35, calculate how many £ are in $8.70. Give your answer
rounded to 2 dp.
Answer:
£6.4
Step-by-step explanation:
£1 = $1.35
To find out the amount of £ , we would simply divide $8.70 by 1.35.
$8.70 / $1.35 = £6.4 rounded to 2 s.f.
Need help will give thanks and brainliest
Answer : y = 11x + 24
Ok!
Part A; 35 + 22 = 57 --- 22 ÷ 2 = 11 11 people every year
According to my calculations they got 11 more people every year because 22 is for 2 years so if you that by 2 you get 11.
Part B; 79 People :)
Sry if im not explaining very well lol plz mark brainlyest i need it!
Can’t solve this question help plz?
what is the answer to 6(3+9)
Answer:
6 x (3+9) add 3 and 9 = 12
6×12 = 72
Answer:
72
Step-by-step explanation:
3+9=12
12*6= 72
do everything in parenthesis first so to solve this you would do 3+9 which equals 12 then multiply 12 with 6 which gives you the answer 72 hope this helps have a good rest of your night :) ❤
If you add Natalie's age and Fred's age, the result is 46. If you add Fred's age to 4 times Natalie's age, the result is 91. Write and solve a system of equations to find how old Fred and Natalie are.
Answer:
Fred = 31
Natalie = 15
Step-by-step explanation:
We have Natalie and Fred's whos age are unknown, we know that when added, their ages equal 46. While when multiplied with Natalie's age 4 times, their ages is 91.
Create two systems :
F = Fred
N = Natalie
F + N = 46
4N + F = 91
We can change the first equation to Natalie's age alone :
N = 46 - F
Now substitute this into the second equation :
4(46 - F) + F = 91
Distribute :
184 - 4F + F = 91
Subtract 184 from both sides :
-4F + F = -93
Add like terms :
-3F = -93
Divide -3 from both sides :
F = 31
Therefore, Fred is 31 years old. Now replace his age in the first equation :
31 + N = 46
46 - 31
15
Therefore, Natalie is 15 years old.
y=2x2+3 is this a linear or nonlinear function
Answer:
y=7
Step-by-step explanation:
2x2=4 +3 =7 y
Find the first four terms of the sequence given the rule: *image*
Answer:4,20,100,500
Step-by-step explanation: i just did it
Write the English phrase as an algebraic expression. Then, simplify the expression. Let x represent the number,
The difference between the product of three and a number and two times the number.
What is the algebraic expression?
(Do not simplify.)
Answer:
3x - 2x
Step-by-step explanation:
The difference - the subtraction symbol
The product of three and a number - 3 multiplied by x (basically says what's the solution to three times x)
Two times the number - 2 times x
Which equation represents a line that is perpendicular to line PQ?
10
U
-
.
- 10
-8
-6
-2
-60
10
2
4
on
8
-10
OA y = 3s - 2
OB. y = 3+ + 4
OC y = -5 -5
= -33 +6
o
D.
50.7 is what percent of 32? Round to the nearest tenth.
Answer:
56.3%
Step-by-step explanation:
0.5625×100= 56.25%
round to the nearest tenth.. which is 56.3%
If you have 16.9 ounces and you are trying to get to 32.55 ounces how much do you need
Answer:
15.65
Step-by-step explanation:
16.9 + x = 32.55
x = 32.55 - 16.9
Answer:
15.65 ounces
Step-by-step explanation:
32.55-16.9=15.65 ounces
Jackie earns 14% commission as a salesperson. She sold a sofa that costs $870. How much commission did Jackie earn?
Answer:
HE IS PORE THAT IS WHAT HE IS
Step-by-step explanation:
HE IS PORE THAT IS WHAT HE IS
One field that a farmer uses for his crops is 115 yards long and 50 yards wide. How long is the diagonal of the field to the nearest tenth of a yard?
A. 125.4 yards
B. 165 yards
C. 290.4 yards
D. 65 yards
Answer:
A) 125.4 yards
Step-by-step explanation:
the diagonal would represent the hypotenuse of a right triangle with legs equal to 115 and 50
115² + 50² = c²
c² = [tex]\sqrt{15725}[/tex] which is approx 125.4
What is the ratio of blue stars to red stars?
Answer:
red is 3 and blue is 6 so 3:6
Step-by-step explanation:
Please do number 16 for me.
Answer: m∠5 = 75°.
Step-by-step explanation:
We know that lines A and B are parallel, and angles 1 and 5 are formed by the same line intersecting the parallel lines.
We know that:
"When a line intersects two parallel lines, corresponding angles are formed, such that we could think on four quadrants, the angles in each quadrant are equivalent between them"
Well, here we can see that angle ∠1 and angle ∠5 are formed by the same line, and both are in the same quadrant (would be the third quadrant if we use standard notation)
Then the measure of ∠1 is the same as the measure of ∠5
And we know that m∠1 = 75°
Then we must have that m∠5 = 75°.
A bank loans a customer $100,000 for a period of 2 years. The simple interest rate of the loan is 5.7%. What is the total amount that the customer will need to pay the bank over the 2 years?
Answer:
$111400
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 5.7%/100 = 0.057 per year,
then, solving our equation
I = 100000 × 0.057 × 2 = 11400
I = $ 11,400.00
The simple interest accumulated
on a principal of $ 100,000.00
at a rate of 5.7% per year
for 2 years is $ 11,400.00.
A man covers 1000meters when he completes five rounds around a square field. what would be the length of the field?