What is the sum of the prime factors of the number 330?
Answer:
21
Step-by-step explanation:
prim factors: 2, 3, 5, and 11
The sum of the prime factors of the number 330 is 21.
What is a prime factor?A natural number other than 1 whose only factors are 1 and itself is said to have a prime factor. In actuality, the first few prime numbers are 2, 3, 5, 7, 11, and so forth.
Given:
The number is 330
Factorize the above number,
330 = 1 × 2 × 3 × 5 × 11
Prime factors are = 2, 3, 5, 11
Calculate the sum of the prime factor
2 + 3 + 5 + 11 = 21
Therefore, the sum of the prime factors of the number 330 is 21.
To know more about prime factors:
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Which characteristic of a data set makes a linear regression model unreasonable? a slope close to 0 a correlation coefficient close to 0 a slope close to –1 a correlation coefficient close to –1
Answer:
A correlation coefficient close to zero
Step-by-step explanation:
This makes linear regression unreasonable because the correlation coefficient shows how related the data points are, -1 and 1 being very strong and 0 being uncorrelated. So the line of best fit would not make sense because the data points are random in relation to one another.
Answer: B. A correlation coefficient close to zero
Step-by-step explanation:
Dont understand this at all, need help.
Answer:
-2
Step-by-step explanation:
The slope (or gradient) is the coefficient for x in a linear equation. It's calculated by the change in y divided by the change in x. In this case, the change in y is -2 and the change in x is 1, therefore the slope is -2/1 which is -2.
A sequence starts with 2, 7, 12, 17, ... What is the 50th term [p]?
Answer:
247 will be the 50th term
Please help ty. if you can do both that's great and plz explain it tysm!!!!
Answer:
Hello, hope it helps :-)
The graph of the function f(x)=x2 will be translated 3 units up and 1 unit left. What is the resulting function g(x)
When a function is translated, it means the function is moved from one point to another.
The resulting function g(x) is: [tex]g(x) = (x + 1)^2 + 3[/tex]
Given that:
[tex]f(x) = x^2[/tex]
When the function is translated 3 units up, the rule is:
[tex](x,y) \to (x,y+3)[/tex]
So, we have:
[tex]f'(x) = x^2 + 3[/tex]
When the function is translated 1 unit left, the rule is:
[tex](x,y) \to (x + 1,y)[/tex]
So, we have:
[tex]g(x) = (x + 1)^2 + 3[/tex]
Hence, the resulting function g(x) is:
[tex]g(x) = (x + 1)^2 + 3[/tex]
See attachment for the graphs of f(x) and g(x)
Read more about translations at:
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I need help with slope
y=mx+b is the equation of a line, m is the slope (the rate of change).
simplify
−2(j^2− k) − 6(j^2 + 3k )
Answer:-8j^2-16k
Step-by-step explanation:
First step:-2j^2-(-2)k=-2j^2+2k
Second step:
-6(j^2+3k) use the formula a(b+c)=ab + ac
a=-6 b=j^2 c=3k
-6j^2+(-6).3k
-6j^2-6.3k=-6j^2-18k because we multiplied 6x3=18
So we gather the whole equation And simplify
-2j^2+2k-6j^2-18k
-2j^2-6j^2 +2k-18k(add like terms)6+2=8
-8j^2+2k-18K (subtract Like terms 18-2=16)
And the answer will give -8j^2-16k
what is the value of 0.75-0.6
PLEASE HELP 20 POINTS
.5(4x - 2) - 2(3x + 3) = 9 + 2(x+ 4)
Answer:
[tex]x = -4[/tex]
Step-by-step explanation:
To solve this equation, we need to apply the distributive property, combine like terms, and get x on one side of the equation.
First, let's apply the distributive property to all parts of the equation:
[tex]0.5(4x-2) - 2(3x+3) = 9+2x + 8[/tex]
[tex]2x - 1 - 6x - 6 = 9 + 2x + 8[/tex]
Combine like terms:
[tex]-4x - 7 = 2x + 17[/tex]
Add 4x to both sides:
[tex]-7 = 6x + 17[/tex]
Add -7 to both sides:
[tex]0 = 6x + 24[/tex]
Subtract 24 from both sides:
[tex]6x = -24[/tex]
Divide both sides by 6:
[tex]x = -4[/tex]
Hope this helped!
5. Maria walks 12 miles in 3 hours. How many miles does she walk per hour?
A 4mi/hr
B 5 mi/hr
C 6 mi/hr
D 7 mi/hr
Answer:
4miles, because it would just be 12 divided by 3.
Step-by-step explanation:
Write each expression using exponents.
1. (-5)(-5)(-5)(-5) =
Answer:
(-5)^4
Step-by-step explanation:
I may be wrong, hopefully this helps you.
Sam decided to lose weight and went on a diet. The figure below depicts a graph, showing how his weight changed during the year. Using this graph, answer the following questions:
What was Sam’s weight at the beginning of the year?
Answer:
100kg
Step-by-step explanation:
On the graph 100kg is where the line starts so that his weight when he started. Hope this made sense!
Answer:
100kg
Step-by-step explanation:
because at the start of the diagram it's pointing at 100kg
Find the LCM of each numbers 3,8,12,15
Answer:
120Step-by-step explanation:
Method 1 ; Using prime factors ;
[tex]3,\:8,\:12,\:15\\\\\mathrm{Prime\:factorization\:of\:}3:\quad 3\\\mathrm{Prime\:factorization\:of\:}8:\quad 2\times\:2\times\:2\\\mathrm{Prime\:factorization\:of\:}12:\quad 2\times\:2\times\:3\\\mathrm{Prime\:factorization\:of\:}15:\quad 3\times\:5\\\\=3\times \:2\times \:2\times \:2\times \:5\\=120[/tex]
Method 2 ; Using Multipliers
[tex]\mathrm{The\:multipliers\:of\:}3\\3,\:6,\:9,\:12,\:15,\:18,\:21,\:24,\:27,\:\\30,\:33,\:36,\:39,\:42,\:45,\:48,\:51,\:\\54,\:57,\:60,\:63,\:66,\:69,\:72,\:75,\:\\78,\:81,\:84,\:87,\:90,\:93,\:96,\:99,\:102,\:105,\:108,\:111\\114,\:117,\:120,\:123,\:126,\:129\\[/tex]
[tex]\mathrm{The\:multipliers\:of\:}8\\\\=8,\:16,\:24,\:32,\:40,\:48,\:56,\:64,\:72,\\\:80,\:88,\:96,\:104,\:112,\:120,\:128,\:136,\:\\144,\:152,\:160,\:168,\:176,\:184[/tex]
[tex]\mathrm{The\:multipliers\:of\:}12\\\\=12,\:24,\:36,\:48,\:60,\:72,\:84,\:96,\:108,\\\:120,\:132,\:144,\:156,\:168,\:180,\:192,\:204,\\\:216,\:228,\:240,\:252,\:264,\:276,\:288,\:\\\\\\\mathrm{The\:multipliers\:of\:}15\\=15,\:30,\:45,\:60,\:75,\:90,\:105,\:120,\\\:135,\:150,\:165,\:180,\:195,\:210,\:225,\\\:240,\:255,\:270,\:285,\:300,\:315,\:330,\:[/tex]
[tex]\mathrm{The\:smallest\:common\:number\:is}\\=120[/tex]
can someone simplify this for me please
(2x^2+4x+1)+(3x^2+6x+5)
Answer:
5x^2+10x+6
Step-by-step explanation:
add 2x^2 & 3x^2
add 4x and 6x
add 1 and 5
0.75x+1.5=-3
what’s the answer? tysm for any help! (:
Answer:
x=−6
Step-by-step explanation: Brainliest:)
7 less than 4 times a number equals 13
Answer:
X = 5
Step-by-step explanation:
4x - 7 = 13
4x = 13 + 7
4x = 20
x = 20 / 4
x = 5
Hope it Helps :) !!
The solution of the given equation will be; X = 5
We know that the equation is defined as an expression that shows the relationship between two or more numbers and variables.
WE are given the statement as;
"7 less than 4 times a number equals 13 "
The equation becomes as;
4x - 7 = 13
Now solving for x;
4x = 13 + 7
4x = 20
Divide;
x = 20 / 4
x = 5
The value of x will be; x = 5
Learn more about equations here;
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what is 2/3+1/4 i need help
Answer:
Convert to a decimal by dividing the numerator by the denominator.
0.916...I
Answer:
11/12
Step-by-step explanation:
First you convert both fractions to a common denominator, usually found by multiplying the denominators you have, i.e., 3*4=12. So let's convert to /12:
2/3 = 8/12 (times 4)
1/4 = 3/12 (times 3)
Now you can add them:
8/12 + 3/12 = 11/12
This cannot be simplified, so this is your answer.
Joe is selling hot chocolate for $0.25 per cup. It costs $12 for a case of cocoa mix. Each paper coffee cup costs $0.10. How many cups of hot chocolate does he need to break –even?
Answer:
He needs 80 cups.
Step-by-step explanation:
$12/$.15(profit from every cup) =80
Write this question in expanded notation 32.874 HELP
Answer:
30+2+.8+.07+.004
Step-by-step explanation:
i mathed then i mathed then i ate then i mathed some more
What 878.9-89.51 i need help i dont understand
Answer: 789.39
Step-by-step explanation: Just subtract 89.51 from 878.9.
Mark Brainliest if this helped!
Use long division to determine the decimal equivalent of 8/9
0.3
0.4
0.5
0.8
Answer:
the answer is .8
hope this helps
1.1 Which One Doesn’t Belong: Diagrams Explain ur answer and I had to repost this.
Answer:
A.
Step-by-step explanation:
Its a 180 degree angle or straight. The others have a corner.
can someone solve for me pls!!!!!
Answer:
[tex]\frac{7}{15}[/tex]
Step-by-step explanation:
Let 1 unit be 0.4666...
16 units = [tex]0.4666...*16=7.4666...[/tex]
15 units = [tex]7.4666...-0.4666...[/tex]
15 units = [tex]7[/tex]
1 unit = [tex]\frac{7}{15}[/tex]
A recipe calls for 1/8 cup of sugar and 3/4 cup of brown sugar. How much total sugar is added to the recipe?
Bella is preheating her oven before using it to bake. The initial temperature of the
oven is 65° and the temperature will increase at a rate of 10° per minute after being
turned on. What is the temperature of the oven 18 minutes after being turned on?
What is the temperature of the oven t minutes after being turned on?
Answer: 245
Step-by-step explanation:
If you multiply 10 degrees by 18 that gets you 180. Add that to 65 and you get your total.
Answer:
temp after 18 minutes: 245
temp after t minutes: 65+10t
Solve the equation for k.
k=5/12
omg please help me
Answer:
k=0.416
Step-by-step explanation:
k=[tex]\frac{5}{12}[/tex] right?
The following figures are not drawn to scale but AB and CD are straight lines. Find x.
Answer:
x=30 because if you look across from x the angle is 30 degrees.
Step-by-step explanation:
What is equivalent to -5/9 negative fraction
Which is different?
w is greater than or equal to – 7.
W is no more than 7
w is no less than - 7
w is at least - 7
w is no more than 7 is different
Answer:
W is no more than 7
Step-by-step explanation:
W is greater than or equal to -7 is (W>_-7)
W is no more than 7 is (W<_7)
W is no less than -7 is (W>_7)
W is at least -7 is (W>_7)
Out of all of these, w is no more than 7 is the only different expression
