Answer:
17900
Step-by-step explanation:
First term a = -19
common difference d = -15-(-19) = 4
number of terms, n = 100
sum of first 100 terms,
n/2(2a+(n-1)d)
= 100/2(2×(-19)+(100-1)4)
= 50×(-38+99×4)
= 50×358
= 17900
51: Y = 3: 5 value of Y
Answer:Y=25:3
Step-by-step explanation:
Answer:
51 : 85 = 3 : 5Step-by-step explanation:
51 : Y = 3 : 551 ÷ 17 = 3•To find the Y we should multiply 5 by 17 5 × 17 = 8551 : 85 = 3 : 5•Checking51 ÷ 17 = 3 ; 85 ÷ 17 = 5[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
3. Find the least common denominator for the group of denominators using the method of prime numbers. 45, 75, 63
We have to find LCM
3 | 45,75,63
3 | 15,25,21
5 | 5,25,7
5 | 1,5,7
7 | 1,1,7
LCM=3×3×5×5×7=1575
The least common denominator for the group of denominators using the method of prime numbers is 1575.
What is least common multiple?LCM stands for Least Common Multiple. It is a method to find the smallest common multiple between any two or more numbers. A factor is one of the numbers that multiplies by a whole number to get that number.
For the given situation,
The numbers are 45, 75, 63
Prime factors of 45 = [tex]3,3,5[/tex]
Prime factors of 75 = [tex]3,5,5[/tex]
Prime factors of 63 = [tex]3,3,7[/tex]
Then the LCM can be found by, first take the common factors then multiple the remaining factors as,
⇒ [tex](3)(3)(5)(5)(7)[/tex]
⇒ [tex]1575[/tex]
Hence we can conclude that the least common denominator for the group of denominators using the method of prime numbers is 1575.
Learn more about least common multiple here
https://brainly.com/question/24859913
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3. The length of a rectangle is 4 inches more than its width. The area of the rectangle is equal to 5 inches more than 2 times the perimeter. Find the length and width of the rectangle.
What is the slope of the line in the graph?
Answer:
Hello,
answer slope =-3/4=-0.75
Step-by-step explanation:
Line is passing through (0,1) and (4,-2)
[tex]\Delta y=-2-1=-3\\\\\Delta x=4-0=4\\\\Slope=\dfrac{-3}{4}[/tex]
use different method of depreciation for each of the assests and explain why u used the method (ex : straight line method, double declining method, unit of production method)
Step-by-step explanation:
sorry but I don't know this answerWhat's the equation of the graph shown above? ) y = 4x + 2 B) y = 4x – 2 C) y = 5x + 2 D) y = 2x + 4
Answer:
i need the graph
Step-by-step explanation:
.
If Q(x) = x2 – 2 – 2, find Q(-3).
Answer: A (10)
Step-by-step explanation:
Plug in Q(-3) into formula x^2-x-2
(-3)^2-(-3)-2= 9+3-2
=10
An integer is eight less than three times another if the product of two integers is 35 then find the integers
A survey is conducted to determine the percentage of students at state universities who change their major at least once. In a study of 100 students 78% indicated that they graduated with a major different from the one with which they entered college. Determine a 90% confidence interval for the percentage of students who change their major.
Answer:
Step-by-step explanation:
Confidence Level - "P" values
90% 1.645
Confidence Interval - "P" values
(0.7119 , 0.8481 )
If f(x) = x2 + 9x – 14 and g(x) = x2 – x + 3, find (f – g)(x).
Answer:
10x-17
Step-by-step explanation:
f(x) = x^2 + 9x – 14
g(x) = x^2 – x + 3
(f – g)(x)=x^2 + 9x – 14 - (x^2 – x + 3)
Distribute the minus sign
(f – g)(x)=x^2 + 9x – 14 - x^2 + x - 3
Combine like terms
=10x-17
8th class maths reader answer
Answer:
plz complete question
so I can help you.
Write the equation in slope-intercept form. y=2(x−8)+4x
Answer:
y=6x-8
Step-by-step explanation:
y=2(x-8)+4x
y=2x+4x-8, y=6x-8
X, 2X + 11 and 4X - 3 are consecutive terms of an arithmetic sequence. Find the constant difference between terms. Give a formula for finding the nth term of the sequence. Use your formula to find the 27th term of this sequence.
Common difference between the terms is 36
Formula for nth term is [tex]a_n=36n-11[/tex]
27th term is 961
Given :
X, 2X + 11 and 4X - 3 are consecutive terms of an arithmetic sequence
To Find:
We need to find the constant difference between the given terms and also find the nth term . Also find the 27th term .
To find the difference , we need to take the difference of consecutive terms
[tex]2x+11-x=x+11\\\\4x-3=(2x+11)= 4x-3-2x-11=2x-14[/tex]
Both the common differences are equal
[tex]x+11=2x-14\\Solve \; for \; x\\Subtract \; x\\11=x-14\\Add \; 14\\x=25[/tex]
First term is 25
second term is 2(25)+11=61
Difference is 61-25=26
Common difference = 36
Use nth term formula is
[tex]a_n=a+(n-1)d\\a=25 (first term )\\d=36\\a_n=25+(n-1)(36)\\a_n=25+36n-36\\a_n=36n-11[/tex]
To find 27th term , replace n with 27
[tex]a_{27}=36(27)-11=961[/tex]
Learn more : brainly.in/question/41142594
-14=3-c+(9+5c) solve for c
Answer:
c=-26/4 simple addition and multiplation
Step-by-step explanation:
[tex] - 14 = 3 - c + (9 + 5c) \\ - 14 = 3 - c + 9 + 5c \\ c - 5c = 3 + 9 + 14 \\ - 4c = 3 + 9 + 14 \\ - 4c = 26 \\ - 2c = 13 \\ c = - \frac{13}{2} \\ c = - 6.5[/tex]
There’s a pic of the question, answer fasterrrrr pleaseeeee
Answer:
Sorry this is NWEA so I want you to try and figure it out on your own, hint: use subtraction.
Step-by-step explanation:
Help me with this please
Answer:
B
Step-by-step explanation:
the data value of x is 0 the the value would be .75 times that by 2 get 1.25
I need help plotting this on number line
Answer:
Step-by-step explanation:
Are the ratios 6:3 and 2:1 equivalent?
What is the maximum value of -4z^2+20z-6?
Answer:
Hello,
19
Step-by-step explanation:
2 methodes:
1)
[tex]y=-4x^2+20x-6\\\\=-4(x^2-5x)-6\\\\=-4(x^2-2*\dfrac{5}{2}*x+\dfrac{25}{4} ) +25-6\\\\=-4(x-\frac{5}{2} )^2+19\\\\Maximum\ =19 \ if\ x=\dfrac{5}{2} \\[/tex]
2)
y'=-8x+20=0 ==> x=20/8=5/2
and y=-4*(5/2)²+20*5/2-6=-25+50-6=19
finding maximums/minimums in quadratic equations:
The maximum value is 19
We want to find the maximum value of:
y = -4z^2+20z-6
Here, you can see that we have a quadratic equation with a negative leading coefficient.
This means that the arms of the graph will go downwards. From this, we can conclude that the maximum will the at the vertex (the highest point).
Remember that for a general equation like:
y = a*x^2 + b*x + c
The x-value of the vertex is:
x = -b/(2a)
(you can see that the variable is a different letter, that does not matter, is just notation)
Then for our equation:
y = -4z^2+20z-6
The z-value of the vertex is:
z = -20/(2*-4) = -20/-8 = 5/2
Then the maximum of the equation:
y = -4z^2+20z-6
is that equation evaluated in z = 5/2
So we get:
y = -4*(5/2)^2 + 20*(5/2) - 6 = 19
The maximum value is 19
If you want to learn more about this topic, you can read:
https://brainly.com/question/14336752
the x coordinates of the point where 2y-x=10 intersect the line y=3x
Answer:
5
Step-by-step explanation:
2y=10+x
y=3x
Equalizing both sides:
10+x=3x
10=3x-x
10=2x
x=5
Write the quadratic function f(x) = x2 - 2x - 8 in factored form.
A) f(x) =(x - 4)(x - 2)
B) f(x) =(x + 4)(x - 2)
C) f(x) =(x - 4)(x + 2)
D) Rx) =(x + 4)(x + 2)
Answer:
Hello,
answer C
Step-by-step explanation:
[tex]f(x)=x^2+2x-8\\\\=x^2-4x+2x-8\\\\=x(x-4)+2(x-4)\\\\=(x-4)(x+2)\\\\Answer\ C[/tex]
Maria is using a meter stick to determine the height of a door. If the smallest unit on the meter stick is centimeters, which measurement could Maria have used to most accurately record the height of the
door?
Answer:
2.31 m
Step-by-step explanation:
with marking down to centimeter length, one can only estimate accurately to the nearest centimeter or hundredth of a meter.
Answer:2.31 meter
Step-by-step explanation: none
Solve the equation for y. Identify the slope and y-intercept then graph the equation.
Y=-3x+1
Y=
M=
B=
Please Include a picture of the graph and show your work if you can
Answer:
y = 1 m = -3 b = 1
Step-by-step explanation:
y = mx + b y = -3x + 1
y = 1
m = -3
b = 1
Can someone please help with this equation thank you
9514 1404 393
Answer:
A
Step-by-step explanation:
Vertical multiplication of polynomials is virtually identical to vertical multiplication of integers. The "place value" associated with a column is the power of the variable. When adding within a column, there is no "carry" to the next column the way there is with integers.
Here, the correct answer choice can be found by looking at the coefficients of x^2 and of x.
Need tha answer explained
Answer:
Bri what do you mean explanation your answer is correct
Please mark me brainliest thanks
Answer:
It is 77.2, so your anwer is correct.
Step-by-step explanation:
Finding decimal divided by decimal too hard? Don't worry, I've got your back! To do division, you can do it the hard way by just dividing it, but there's something more simple.
Move the dividend's decimal point to the right until it's not a decimal. Do the same with the divisor, but it depends on how many decimal places on the dividend was moved by. So in this case, you move it by 2 decimal places for BOTH! Then you just simply divide it. It gives you the same answer.
BTW if I didn't make my explanation clear, please comment.
All 20 children at a party were given one cookie, and then some were given an additional cookie. If a total of
32 cookies were given out, how many children received an additional cookie?
8
O 10
О о о
O 12
o 14
Answer:
If there were 20 children at a party, and each were given one cookie, then a total of 20 cookies were given out.
However, this is not the case, as 32 cookies were given out. So, we can see that 32 - 20 children, or 12 children, received one additional cookie.
Let me know if this helps!
Juan starts a bacteria culture and records the number of bacteria in the Petri dish for the first couple of hours.
Hours Bacteria
0
160
1
320
2
640
If the pattern continues, how many bacteria can he expect to find after 17 h?
Enter your answer in the box.
9514 1404 393
Answer:
20,971,520
Step-by-step explanation:
The population is doubling every hour, so after 17 hours it will be the initial population (160) multiplied by 2^17 = 131,072.
After 17 hours, he can expect to find 160×131072 = 20,971,520 bacteria.
if a gallon of milk costs $2.49 how much will 3 1/2 gallons cost
HELP ME PLEASE ANYONE FOR 20 POINTS
Answer:
The correct answer is no.B
Please help urgently
