Answer:
x^3+4x^2+5x+2
Step-by-step explanation:
Find the sum of the first eight terms of the geometric sequence whose first term is -2.5 and ratio is 2.
The sum of the first eight terms of the geometric sequence whose first term is -2.5 and ratio is 2 is: -637.5
The nth term of a geometric sequence is given mathematically as;
T(n) = ar^n
where, a = first term of the geometric sequence.r = common ratio of the sequenceand n = nth term of the sequence.Therefore, the sum of the first 8 terms of the geometric sequence is;
S(8) = a + ar + ar² + ar³ + ar⁴ + ar⁵ + ar⁶ + ar⁷.
In essence;
since common ratio, r = 2 and first term, a = -2.5Therefore, we have;
S(8) = -2.5(1 + 2 + 2² + 2³ + 2⁴ + 2⁵ + 2⁶ + 2⁷)S(8) = -2.5(255)S(8) = -637.5.
Therefore, the sum of the first eight terms of the geometric sequence whose first term is -2.5 and ratio is 2 is: -637.5
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5(6+9) what is the sum of 30 and another whole number
Answer:
75
Step-by-step explanation:
5(6+9)
Times the five by the numbers in the bracket
30 + 45
= 75
Answer:
75
Step-by-step explanation:
5 x 6 = 30
5 x 9 = 45
30 + 45 = 75
32/80 as a percentage
Answer:
40%
Step-by-step explanation:
multiply the fraction by a hundred and the answer will have units of percent.
What is the = to 5x+ 7 =42 please give details
Answer: x = 7
Step-by-step explanation:
5x + 7 = 42
We then take 7 away from both sides:
5x = 35
Then, we need to make it so x = answer. To make 5x into x, we divide by 5 meaning that we next need to divide both sides by 5.
x = 7
I need help, I can’t find the answer.
Answer:
to get rid of the fraction multiply both sides by six
Answer:
multiply both sides by 6
Step-by-step explanation:
you won't add 2 until you have a whole number, not a fraction.
You don't need to change the direction
and you aren't supposed to change the =, >, <, or any of those signs ever, until you get to where you are multiplying or dividing by a negative number
line l contains points (-2,4) and (1,-9). Point P has coordinates (14,-6) answer
We are given a line and a point, I assume that we want to see if the point is on the line or not.
We will see that the point does not belong to the line.
First, let's find the equation of the line.
A general line can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If the line passes through points (x₁, y₁) and (x₂, y₂), then the slope can be computed as:
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Here we know that our line passes through the points (-2, 4) and (1, -9). Then the slope is:
[tex]a = \frac{4 - (-9)}{-2 - 1} = \frac{13}{-3} = -\frac{13}{3}[/tex]
Then our line is something like:
[tex]y = -\frac{13}{3} *x + b[/tex]
To find the value of b, we can use one of the two points that we know that are on the line.
For example, the point (-2, 4) means that when x = -2, we must have y = 4.
Replacing that in the equation we get:
[tex]4 = -\frac{13}{3} *(-2) + b\\\\4 = \frac{26}{3} + b\\\\4 - \frac{26}{3} = b\\\\\frac{-14}{3} = b[/tex]
Now we can write the line equation as:
[tex]y = -\frac{13}{3} *x - \frac{14}{3}[/tex]
Now we need to see if the point (14, -6) belongs to the line.
To see this, we evaluate the line in x = 14.
[tex]y = -\frac{13}{3} *14 - \frac{14}{3} = -\frac{196}{3}[/tex]
This is different than -6, so the point does not belong to the line.
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6 cups is how many times as much as 24 cups? ~ In a fraction ~
Answer:
1/4
Step-by-step explanation:
6/24 = 1/4
What is the equation of the line that passes through the point (-6, -5) and has a slope of -3/2?
Answer:
y=3/2x+3/2
Step-by-step explanation:
point at (-6,-5)
slope = m = 3/2
y = mx+b
(-6)=(3/2)(-5)+b >>> substituting x & y to solve for b
-6 = (-15/2)+b >>> simplify previous equation
-6 + (15/2) = b >>> isolate and solve for m
3/2 = b
therefore, the equation of the line passing through the point (-6,-5) with a slope of 3/2 is y=(3/2)x+(3/2)
Round 6,248 to the nearest hundred
Answer:6200
Step-by-step explanation:
:We round the number up to the nearest hundred if the last two digits in the number are 50 or above.
: We round the number down to the nearest hundred if the last two digits in the number are 49 or below.
: If the last two digits are 00, then we do not have to do any rounding, because it is already to the hundred.
:In this case, Rule B applies and 6248 rounded to the nearest hundred is:
6200
Answer: the answer is 6,200 hope it helps!
Step-by-step explanation:
Find four consecutive odd integers
such that twice the smallest
subtracted from three times the
largest is 63.
Evaluate the expression,
if x = 12, y = 8, and z = 3.
5y +
XIN
Answer:
5*8+12/3
=40+4
=44..........
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Answer:
Answer is b . Hope you like answer
John wants to make cupcakes. To make cupcakes, he needs 5/7 of a cup of flour per
batch of cupcakes. If John has 10 cups of flour, then how many batches of cupcakes can
John make?
Someone help plz and plz make sure it’s right will mark brainiest:)
Barty is going to flip a coin three times. What is the probability that he will see at least
two tails? Can you use a Probability Area Model for this situation?
Answer:
1/2
Step-by-step explanation:
For three coin tosses, the posible outcomes are:
[(HHH), (HHT), ( THH), (HTH), ( THT), (TTH), (HTT), (TTT)
The outcomes where there are at least 2 tails are:
(TTT), (TTH), (THT), (HTT)
So, the probability that the coin will land tails at least 2 times is 4/8 or 1/2
What is the rate of change for the equation y = 2x + 100?
+
The rate of change is
h
Answer:
Rate of change = 2
Step-by-step explanation:
The rate of change is equivalent to the slope of the line !
A line is written:
y=mx+b
"m" is the slope, and "b" is the y-intercept !
The line you gave was "y=2x+100"
The slope, or "m," in your equation, would be 2 !
Which number is equivalent to 24 ⋅ 73 ⋅ 2 ⋅ 7−4?
Answer:
24524
Step-by-step explanation:
Use the order of operations to solve
Answer:
32/7 or 32
----
7
Step-by-step explanation:
A proportional relationship goes through the point (4, 10). Explain how to write a function in the form y = mx for this relationship.
Answer:
m = 5 / 2
Step-by-step explanation:
Given
(4, 10)
Here,
x=4 and y=10
Given equation,
y=mx _ equation 1
putting the value of x and y in equation 1. we get,
y = mx
or, 10 = m4
or, 10 / 4 = m
or, 5 / 2 = m
therefore, m = 5 / 2
Help please lolololol
Answer:
7.
5/12
8.
12/39
Step-by-step explanation:
7.
5/6*1/2=5/12
8.
3/4*4/9=12/39
Hello could someone help me
Mrs. Davis’ gym class has 24 girls and 18 boys. She wants to separate the class into stations. Each station must have the same numbers of girls and boys.
What is the greatest number of stations Mrs. Davis can make if every student has to participate in a station?
Answer:
6 stations
Step-by-step explanation:
Find the GCD of 24 and 18 in order to get the greatest number of stations
GCD is 6
is 3x² - 4ab + 2 a polynomial?
Answer:
Yes it is a polynomial.
Step-by-step explanation:
3x² - 4ab + 2 is quadratic polynomial, since it has the highest power / degree of 2.
Note : -
Types of polynomials :
Linear Polynomial ( degree 1 )Quadratic Polynomial ( degree 2 )Cubic Polynomial ( degree 3 )Quartic Polynomial ( degree 4 )Answer:
[tex]4394[/tex]
Step-by-step explanation:
the bird is
Two angles are supplementary. One angle is 40° more
than four times the other. Find the measures of the two
angles.
Answer:
Let x = the measure of the smaller angle
Let 3x + 40 = the measure of the larger angle
x + 3x + 40 = 180
4x = 140
x = 35º
3x + 40 = 3(35) + 40 = 145º
Step-by-step explanation:
What is the asymptote of f(x)=2x-5
Answer:
No asymptote
Step-by-step explanation:
This equation is linear, so it will not have an astmptote.
Katie works at a local fast food restaurant. She has $1200 in the bank. She just bought a car. It's value is $10,000, but she has a loan from the bank for $9100. She also has a horse that has a value of $1500, and tack and supplies for the horse worth $850. What is Katie's net worth?
Answer:
33450
Step-by-step explanation:
so basically idekkkkkkk
52 miles every 2 hours
52 / 2 = 26 miles every hour
[tex]\frac{1}{3} (26)=8\frac{2}{3}[/tex] miles every 1/3 hours
Answer: The go cart can travel [tex]8\frac{2}{3}[/tex] miles every 1/3 of an hour
please help
!!!!!
please fast tq
Answer:
b
Step-by-step explanation:
What's the gradient of the blue line?
-4d > 8 and 2d > -6 and graph
Answer:
Step-by-step explanation:
We can add like terms. Like terms are when the variables are alike, so you can add them to get a simpler form of your expression.equation.
4d and 2d are like terms, therefore, we can add them.
6d+6 is what we are left with.
Our final answer: 6d+6 is equivalent to 4d+6+2d
Answer:
Step-by-step explanation:
solve the inequality 1/2c > -1
Answer:
[tex] \frac{1}{2} c > - 1[/tex]
[tex]c > - 1 \div \frac{1}{2} [/tex]
[tex]c > - 1 \times 2[/tex]
[tex]c > - 2[/tex]