Answer:
Sₙ = 57/2 * (504 + 896) = 39900
Step-by-step explanation:
first multiple of 7 after 500 is: 72 *7 = 504
last multiple of 7 before 900 is: 128 *7 = 896
a₁ = 504
aₙ = 896
where n = 128-72 +1 = 57
sum of arithmetic sequence: Sₙ = n/2 * (a₁ + aₙ)
Sₙ = 57/2 * (504 + 896) = 39900
Which statement describes the line that contains the points (5, -6) and (3, -6)?
A. The line is vertical
B. The line is horizontal
C. The line has a positive slope
D. The line has a negative slope
Answer:
B
Step-by-step explanation:
Using the equation to find the slope, (-6 - -6) / (5 - 3) equals zero. This means that the line has no slope and must be flat.
-3x²+5x-8 and -10x²-x-3
Answer: 1.)−(3
hi please help i’ll give brainliest please
Answer:
45
Step-by-step explanation:
20+25
How much metal is needed to create a trash can with a height of 4 feet and a base radius of 1 foot? find the surface area of the cylinder
If the height is 4 feet and a base radius is 1 foot of the cylinder. Then the surface area of the cylinder will be 25.13 square feet,
What is the surface area of a right circular cylinder?Let r be the radius and h be the height of the cylinder.
Then the surface area of the cylinder will be
SA = 2πrh square units
The height is 4 feet and a base radius is 1 foot of the cylinder.
Then the surface area of the cylinder will be
SA = 2 × π × 1 × 4
SA = 8 × π
SA = 25.13 square feet
More about the surface area of the cylinder link is given below.
https://brainly.com/question/22074027
#SPJ1
ok, is this right?
Algebraic inequalities use variables to represent unknown values
the problem was
78
___ - b>92
4
would you write it like this
seventy-eight divided by 4, minus a number is greater than nintey-two.
is it right?!
Answer:
yes
Step-by-step explanation:
Which of the following is a parent function?
A. f(x) = 2^x
B. f(x)=-3^x3 +1
C. f(x) = 3^x-x/3
D. f(x)=1/2•3^x
Answer:
B I believe that's the answer
Step-by-step explanation:
find the measure of the variables and the measures of angles please, HELP ASAP!
9514 1404 393
Answer:
x = 36
78°, 36°, 66° (CW from lower left)
Step-by-step explanation:
The sum of angles in a triangle is 180°, so we can write the equation ...
(2x +6)° +x° +(2x -6)° = 180°
5x = 180 . . . . simplify
x = 36 . . . . . . divide by 5
Then the angle measures are ...
(2x +6)° = (2·36 +6)° = 78°
x° = 36°
(2x -6)° = (2·36 -6)° = 66°
Answer:
Top angle - 36
Left angle - 78
Right angle - 66
Step-by-step explanation:
First to find the angles you need to find x. Do this by adding all the angle measurements and setting them equal to 180 because all triangles equal 180.
x+2x+6+2x-6=180Then, combine like terms
5x=180Finally, divide both sides by 5
x=36Now that you know x you can plug it in to find the rest of the angles. The top angle is simply 36. The left angle is 2(36) + 6, which equals 78. The right angle is 2(36) - 6, which equals 66.
The vertex form of the equation of a parabola is y = (x + 7)2 + 13. What is the standard form of the equation? O A. y = 7x2 + 14x+ 62 O B. y = x2 + 43x + 32 O c. y = x2 + 7x + 13 O D. y= x2 + 14x + 62
Answer:
y = x^2 + 14x + 62
Step-by-step explanation:
y = (x + 7)^2 + 13 is to be rewritten in the form y = ax^2 + bx + c.
Note: Use " ^ " to denote exponentiation.
Expand y = (x + 7)^2, holding the constant term to be added on later:
y = x^2 + 14x + 49 + 13
Combining the constants, we get:
y = x^2 + 14x + 62 (which matches Answer D).
NEED HELP IMMEDIATELY
PLEASE HELP ME I NEED THIS
Guys help me, with solution using PEMDAS
10 : (3 + 2) * 4 + 5² + 6 - 9 =
= 10 : 5 * 4 + 25 + 6 - 9 =
= 2 * 4 + 31 - 9 = 8 + 31 - 9 =
= 39 - 9 = 30
6 * 4 : 12 + 72 : 8 - 9 =
= 24 : 12 + 9 - 9 = 2
I need both an answer an explaination
write down all the even number less than 100 that are prime numbers.
Answer:
2 is the only even prime number.
All the even numbers less than 100 that are prime numbers will be 2.
What is a prime number?A prime number is a positive integer having exactly two factors which are 1 and the number itself. Any number that does not follow this is termed a composite number.
If the number is divisible by 2 then the number will be an even number. Similarly, if the number is not divisible by 2 then the number will be an odd number.
The prime number from 0 to 100 is given below.
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97
All the even numbers less than 100 that are prime numbers will be 2.
More about the prime number link is given below.
https://brainly.com/question/9315685
#SPJ2
Singers enrrique kathy rihanna and bruno are preforming a charity concert for world hunger and their order of appearance will be chosen randomly the outcomes in the sample will be represented as string offers
Answer:
The answer is "24 elements"
Step-by-step explanation:
Please find the complete question in the attached file.
Given that:
[tex]\to Enrique=E\\\\ \to Katie=K \\\\\to Rihanna=R \\\\\to Bruno=B\\\\[/tex]
The element in space are:
[tex]EKRB , ERKB , ERBK , EKBR , EBKR , EBRK , KERB , KEBR , KREB , KRBE ,\\\\ KBRE , KBER , RKEB , RKBE , RBKE , RBEK , REBK , REKB , BEKR , BERK ,\\\\ BREK ,BRKE , BKRE , BKER[/tex]
Given cot A= 11/60 and that angle A is in Quadrant I, find the exact value of cos cos A in simplest radical form using a rational denominator.
Answer: Below
Step-by-step explanation:cotA=11/60
tan=opposite/adjacent
cot=1/tan
cot=adjacent/opposite
cotA=11/60
adjacent=11
opposite=60
using the Pythagorean Theorem, the hypotenuse=61
csc=1/sin
cscA=1/sinA
sin=opposite/hypotenuse
sinA=60/61
csc=1/sin
cscA=61/60
The value of Cos A is [tex]\frac{11}{61}[/tex].
What is cosine of an angle?The cosine of an angle is defined as the sine of the complementary angle. The complementary angle equals the given angle subtracted from a right angle, 90°. For instance, if the angle is 30°, then its complement is 60°.
According to the given problem,
Given, cot A = [tex]\frac{11}{60}[/tex], and angle A is in first quadrant then, all the function's value will be positive in nature.
Now, cot A = [tex]\frac{Base}{Perpendicular}[/tex]
cot A = [tex]\frac{11}{60}[/tex]
Base = 11
Perpendicular = 60
Using the Pythagorean Theorem
Hypotenuse² = Perpendicular² +Base²
⇒ Hypotenuse² = 11² + 60²
⇒ hypotenuse = 61
Then, Cos A = [tex]\frac{Base}{Hypotenuse}[/tex]
Cos A = [tex]\frac{11}{61}[/tex]
Hence, we can conclude that Cos A is [tex]\frac{11}{61}[/tex].
Learn more about cosine of an angle here:
https://brainly.com/question/3827723
#SPJ2
which function is equivalent to f(x)=1/4(x-2)^2+3?
f(x)=1/2x+2
f(x)=1/4x^2-4x+7
f(x)=1/4x^2+4
f(x)=1/4x^2-x+4
Answer: f(6) = (6)2 + 1 = 36 + 1 = 37
If we wanted to find and expression for f(g(x)) we could plug in g(x), which is "x - 4" into the function f(x) wherever we see an "x". So:
f(x) = x2 + 1
f(g(x)) = (x - 4)2 + 1 because g(x) is "x - 4"
Step-by-step explanation:
can anyone do this quickly?
Answer:
4th option (x = 60)
Step-by-step explanation:
This is isosceles triangle so the angles are the same. Think of this as an mirror. AE is the same as BE so you can assume angle ABE is 30 degrees.
30+30=60
180-60=120
So angle AEB is 120.
That is supplementary angle so the other side must be 180-120=60.
So, the middle smaller triangle is isosceles as well, so BED and BDE are both 60.
60+60=120, 180-120=60
So angle x = 60
Please help!! I will mark you brainiest!!
Council The student council is planning an 8th grade picnic. The local company catering the event will charge a grill rental fee of $150 plus $5 per person for less than 100 students. For 100 students or more, the company will charge the grill fee plus $4.25 per person.
What is the total cost for 125 students?
The total cost for 125 students is $905.5.
What is a word problem?A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
Grill rental fee = $150
Charge per person for less than 100 students = $5
Charge per person for 100 students or more = $4.25
Total number of students = 125
The total cost for 125 students is
⇒ [tex][150+5(99)]+[150+4.25(26)][/tex]
⇒ [tex][150+495]+[150+110.5][/tex]
⇒ [tex][645]+[260.5][/tex]
⇒ [tex]905.5[/tex]
Hence we can conclude that the total cost for 125 students is $905.5.
Learn more about word problems here
brainly.com/question/20594903
#SPJ2
The first number of a pattern is 400. The pattern follows the rule divide by 2, then add 6. What are the next two terms?
Answer:
206 and 109
Step-by-step explanation:
first term:
400 divided by 2 is 200
200+6= 206
second term:
206 divided by 2 is 103
103+6=109
Answer:
206,109
Step-by-step explanation:
If u divide 400 by 2 it equals 200 then u have to add 6 so its 206.
If u divide 206 by 2 it equals 103 then u have to add 6 and u get 109.
Please help.
Algebra.
Plz help meh with dis i need it bad! .~.
Answer:
c
Step-by-step explanation:
Answer: Its either D OR C.
Step-by-step explanation: its less than (suppose to be).
What is the area of the parallelogram?
9, 8, 6
Select the set of measurements that can form a triangle.
A. 35°, 150, 130°
B. 90°, 90°, 7 inches
C. 709, 70°, 70°
D. 17 inches, 8 inches, 2 inches
Answer:
B
Step-by-step explanation:
Jason sells his radio for 20% profit.if he bought it for 290$,what did he sell it for?
Answer:
$348
Step-by-step explanation:
original value times 1+ percent increase
290 * (1+.20)
290 * 1.20 = 348
Jason sold his radio for $348
In a baseball card collection, 40% of the cards are worth more than 100$. If 12 cards in the collection are worth more than $100, how many total baseball cards are in the collection?
Answer:
30
Step-by-step explanation:
12 is 40% of the total number of cards.
12 = 0.4x, where x is total number of cards
/0.4 /0.4
30 = x
30 cards
Given (11,2) and (x,−4), find all x such that the distance between these two points is 10. Separate multiple answers with a comma.
Answer: x = 3, 19
Step-by-step explanation:
Given
Two points i.e. [tex](11,2)\ \text{and}\ (x,-4)[/tex] are given
Distance between them is 10 units
Distance is given by the distance formula
[tex]\Rightarrow d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Distance between two points is
[tex]\Rightarrow 10=\sqrt{(x-11)^2+(-4-2)^2}[/tex]
Squaring both sides
[tex]\Rightarrow 100=(x-11)^2+(-6)^2\\\Rightarrow 100=x^2+121-22x+36\\\Rightarrow x^2-22x+57=0\\\Rightarrow x^2-19x-3x+57=0\\\Rightarrow x(x-19)-3(x-19)=0\\\Rightarrow (x-19)(x-3)=0[/tex]
i.e. [tex]x\ \text{can be }\ x=3\ or\ 19[/tex]
What is the measure of angle DEF?
A: 28
B: 62
C: 118
D: 152
please someone help me i'm gonna cry lol
[tex]\sqrt{2}[/tex]Answer:
Step-by-step explanation:
now the equations looks like
5-4*Cos(x) = y
when 45° gets plugged into Cos(x) we get [tex]\sqrt{2}[/tex]/2 again
5- 4 * ([tex]\sqrt{2}[/tex]/2) = y
5-2[tex]\sqrt{2}[/tex]=y
leave it in that form . it's exact that way
solve for x
x- 5/3=1
Answer:
x = 8/3 or 2 2/3
Step-by-step explanation:
x - 5/3 = 1
x - 5/3 + 5/3 = x
1 + 5/3 = 8/3 or 2 2/3
x = 8/3 or 2 2/3
Answer:
x = [tex]\frac{8}{3}[/tex]
Step-by-step explanation:
Given
x - [tex]\frac{5}{3}[/tex] = 1 ( multiply through by 3 to clear the fraction )
3x - 5 = 3 ( add 5 to both sides )
3x = 8 ( divide both sides by 3 )
x = [tex]\frac{8}{3}[/tex]
Which expression is equivalent to
-20/2
Answer:
Your correct, good job. >;D
Based on the problem above, how would you rewrite as a binomial squared?
x^2 + 8x - 3 = 0 (x + __ )^2 = __
Answer:
the quadratic equation cannot be written as the square of a binomial
Step-by-step explanation:
Given the expression
x^2 + 8x - 3 = 0
On factorizing
x = -8±√8²-4(-3)/2
x = -8±√64+12/2
x = -8±√76/2
x = -8±8.7/2
Note that since the since the discriminant is not a prefect square, the quadratic equation cannot be written as the square of a binomial
