Answer:
The answer is D. 259
Step-by-step explanation:
Step 1: [tex]\sum _{n=4}^{10}5n+2[/tex]
Step 2: [tex]\sum _{n=1}^{10}5n+2-\sum _{n=1}^35n+2[/tex]
Step 3:
[tex]\sum _{n=1}^{10}5n+2=\sum _{n=1}^{10}5n+2-\sum _{n=1}^35n+2\\\sum _{n=1}^{10}5n+2=295[/tex]
[tex]\sum _{n=1}^35n+2=\sum _{n=1}^35n+\sum _{n=1}^32=36\\[/tex]
Step 4: [tex]295-36=259[/tex]
What is the slope of the line shown in the graph?
−1
−2
negative 1 over 2
2
Answer:
Slope = -2
Step-by-step explanation:
y2-y1/ x2-x1
Please help me!!
Write A short story that
could be represented by
the expression: 24 + (-9)
(-4) + 33 – 17 Make
sure to solve the
equation in your story
(Think about hot air
balloons, football,
temperatures)
Answer:
=76
Step-by-step explanation:
24+(−9)(−4)+33−17
=24+36+33−17
=60+33−17
=93−17
=76
can u please help me with this
Answer:
d) centimeters
cat average height is 23-25 cm
if you would write it in meters it would be 0.23-0.25 m
in mm 230-250mm
Its just the most convinient
Which of the following statements is TRUE regarding b(x)?
A. Over the interval [0, 1], b(x) is negative and is increasing.
B. Over the interval [0, 1], b(x) is positive and is decreasing.
c. Over the interval [0, 1], 5(x) is positive and is increasing.
D. Over the interval [0, 1], b(x) is negative and is decreasing.
The only statement that is true regarding the given graph of polynomial b(x) is; Option D; Over the interval [0, 1], b(x) is negative and is decreasing.
The given graph represents the polynomial b(x). Let us look at the options;
Option A; Over the interval (0, 1), we can see that the curve is decreasing from b(x) = 0 to b(x) = -2. Thus, the statement is wrong.
Option B; Over the interval of (0, 1), b(x) is not positive over the interval (0, 1) and so the statement is wrong.
Option C; Over the interval of (0, 1), b(x) is not positive and increasing and so the statement is wrong.
Option D; Over the interval of (0, 1), b(x) is negative and is also decreasing and so this option is correct.
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PROBLEM SOLVING When a plant or animal dies, it stops acquiring carbon-14 from the atmosphere. The amount y in grams) of carbon-14 in the body of an organism after t years is y= a(0.5)^t/5730, where a is the initial amount (in grams). What percent of the carbon-14 is released each year? Round your answer to the nearest hundredth.
Answer:
0.01%
Step-by-step explanation:
y=a (0.5)^t/5730
y=a [(0.5)^t/5730]
when you put 0.5^1/5730
it'll give you 0.99
The "equation" is y=a(1-r)^t
so 1-0.99 is 0.01
The percent of carbon-14 released each year will be 50.
What is an exponent?Consider the function:
y = a (1 ± r) ˣ
Where x is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.
If there is a plus sign, then there is exponential growth happening by r fraction or 100r %.
If there is a minus sign, then there is exponential decay happening by r fraction or 100r %.
The equation is given below.
[tex]\rm y= a \left ( 0.5 \right )^{t/5730}[/tex]
Where 'a' is the initial amount (in grams) and 't' represents the number of years.
The equation is also written as,
[tex]\rm y= a \left ( 0.5 \right )^{t/5730}\\\\\rm y= a \left ( 1 - 0.5 \right )^{t/5730}[/tex]
The percent of carbon-14 released each year will be 50.
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ABCD TSVU find the value of Y
Answer:
The value of y = 7.5 and the scale factor is 2/3.
Step-by-step explanation:
To get the scale factor, let's get the ratio of 17 to 25
[tex] \frac{17}{25.5} = \frac{2}{3} [/tex]
To check if 17 really is the 2/3 of 25.5
[tex]17 = \frac{2}{3} \times 25.5 \\ 17 = \frac{51}{3} \\ 17 = 17[/tex]
Therefore, if 17 is the 2/3 of 25.5, then the line (3y-3.5) is also the 2/3 of (3y+6).
[tex]3y - 3.5 = \frac{2}{3} (3y + 6) \\ 3(3y - 3.5) = 2(3y + 6) \\ 9y - 10.5 = 6y + 12 \\ 9y - 6y = 12 + 10.5 \\ 3y = 22.5 \\ y = 7.5[/tex]
The diagram shows a rectangle
The midpoint of RS is point T. What are the coordinates
of point S?
5
4
3
R (-2,3)
01 - 3
0 1 )
2
1
45 -4 -3 -2 -1
2
3
4
5
X
O (8,4)
(10,-7)
-2
T(4-2)
-3
Answer:
( 10,-7)
i didn't understand what u wrote in choice
The coordinates of the point S of the line RS having midpoint T are found to be (10, -7).
What is mid point?In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment.
here, we have,
The points that are given to us are R(-2,3) and T(4, -2).
The point T is the mid point of the line segment RS.
If A(a, b) and B(c, d) are the two points then the mid point M of the two points will be,
M = ((a+c)/2), ((b+d/2))
So, using the above modified form of section formula we can find the coordinates of the point S.
Assuming point S to be x and y.
So, putting all the values,
(4, -2) = ((-2+x)/2), ((3+y/2))
Now, solving further, we get,
-1+x/2 = 4
-2+x = 8
x = 10
And,
3 + y = -4
y = -7
So, the coordinates are (10, -7).
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Evaluate 4^0×x^-5 when x=2 .
Answer:
1/32
Step-by-step explanation:
Anything to the power of 0 is 1.
1*x^-5 (negative power means the reciprocal)
1/2^5 = 1/32
1*1/32=1/32
When x = 2, the value of 4⁰ × x⁻⁵ is 0.03125.
To evaluate the expression 4⁰ × x⁻⁵ when x = 2, we'll substitute the value of x into the expression and perform the necessary calculations.
First, let's evaluate 4⁰. Any number raised to the power of 0 is equal to 1. Therefore, 4⁰ = 1.
Next, let's evaluate x⁻⁵ when x = 2. A negative exponent indicates the reciprocal of the base raised to the positive exponent. So, x⁻⁵ = 1 / x⁵.
Substituting x = 2, we have 1 / 2⁵.
Now, we can simplify the expression:
1 / 2⁵ = 1 / 32 = 0.03125
Therefore, when x = 2, the value of 4⁰ × x⁻⁵ is 0.03125.
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A family pays for 50 MB of internet connectivity for downloads. When measuring their internet speed, a family member observed a maximum speed of 35 MB. By what percentage is the measured speed different from the advertised speed?
PLS HELP
Answer:
its 70% of the speed they expected
Emma is a sales clerk at a bicycle shop. She is paid $6.25 per hour for 30 hours work week plus a commission of 8% of sales. In one week, her sales were $2319.75, what is her gross weekly earning?
Answer: $373.08
Step-by-step explanation:
First find out what she earned from her normal wages.
She is paid $6.25 per hour for 30 hours in a week. Her weekly pay is therefore:
= 6.25 * 30
= $187.50
She then gets 8% of her sales as commission. Her commission is therfore:
= 8% * 2,319.75
= $185.58
Her gross pay is therefore:
= Weekly pay + Commission
= 187.50 + 185.58
= $373.08
Subtract the rational expression 1/x^2-x-6 - x/x+2.
Answer:
Step-by-step explanation:
x² - x -6 = x² + 2x - 3x - 3*2
=x(x + 2) - 3(x + 2)
= (x + 2 )(x - 3)
[tex]\frac{1}{x^{2}-x-6}+\frac{x}{x+2}=\frac{1}{(x +2 )(x - 3)}-\frac{x}{x + 2}\\[/tex]
[tex]= \frac{1}{(x+2)(x-3)}-\frac{x(x-3)}{(x+2)(x-3)}\\\\=\frac{1-x(x-3)}{(x+2)(x-3)}\\\\=\frac{1-x^{2}+3x}{(x+2)(x-3)}\\\\[/tex]
HELP ME WITH THIS WHO ANSWERS CORRECTLY I WILL GIVE BRAINLIEST!
Solve in real numbers the equation
\-x+sqrt{1-x^{2}}\-=sqrt{2}\(2x^{2}-1\)\-x+sqrt1−x2 /-=sqrt2(2x2-1).
Answer: in real numbers the equation \displaystyle \-x+sqrt{1-x^{2}}\-=sqrt{ 2}\left(2x^{2}-1\right)\-x+sqrt1−x2\-=sqrt2(2x2− 1).
Step-by-step explanation:
John has 2,700 seeds of corn to plant in 9 rows on his farm. Each row will have the same number of seeds. Part A Which basic fact can John use to find out how many seeds will be planted in each row?
Answer: A. We will divide total seeds by the number of total rows.
300 seeds will be planted in each row.
Step-by-step explanation:
Given: Total seeds = 2700
Total rows = 9
If each row will have the same number of seeds.
Then, the number of seeds will be planted in each row = (Total seeds) ÷ (Total rows)
= 2700÷9
= 300
Hence, 300 seeds will be planted in each row.
. Krystal had 12 chocolates. She ate 4
chocolates the day before yesterday and 4
chocolates yesterday. How many chocolates
does she have now?
Answer: 4 Chocolates
I need help with this ASAP PLEASE!!!
The correct answer is one
good luck in math
There are 45 students who participate in tennis. Of these, 18 do an event other than running. What percent of the students do an event other than running? *
Answer:
garal 45 students to participate in tennis out of this it into an event other than running what percentage of the students do another event it is 45 - 18 and you will get a number and that answer you multiply it by hundred and divide 100 then it will give you an answer
Answer:
[tex]40\%[/tex]
[tex] \frac{18}{45} \times 100[/tex]
[tex] \frac{18}{9} \times 20[/tex]
[tex]2 \times 20[/tex]
[tex] = 40[/tex]
Step-by-step explanation:
[tex]hope \: it \: helps \: you \: [/tex]
What is the answer to 0*8(3+1-4)
Answer:
caca
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
(0)(8)(3+1−4)
=0(3+1−4)
=0(4−4)
=(0)(0)
=0
Solve for x
-12 = 12x + 36
PLS HELP ME!!!!!!
Answer: It’s -4
Step-by-step explanation:
PLS HELP WILL GIVE BRAINLIEST AND POINTS!!
'C. The sum of four products; there are four terms' is the correct answer
Convert 27 ounces into grams.
Hint: 1 ounce=28.35 grams
Answer:
765.437 grams
Step-by-step explanation:
as 1 ounce =28.35g
so
27ounce=28.35×27
=765.437
Converting 27 ounces into grams is: 765.437grams.
Here, we have,
given that,
we have to Convert 27 ounces into grams.
we know that,
Since 1 ounce is equal to 28.35 grams.
so, we get,
1 ounce=28.35 grams
all we need to do is to multiply 27 by 28.35 grams.
i.e. 28.35×27 =765.437
The answer will be 765.437grams.
so, we get,
as 1 ounce =28.35g
so, 27ounce=28.35×27 =765.437g
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7a^3b-7ab^3 needs factoring plz
Answer:
7ab (a+b)(a-b)
Step-by-step explanation:
You are trying to increase your monthly savings to buy a used car. Your boss allows you to work one hour of overtime at time-and-half 5 days per week. Your regular wage is $12.00 per hour. You want to save $3,000 for your car. Approximately how many weeks must you work with the extra hour per day to reach your goal?
Answer:
34 weeks
Step-by-step explanation:
As given,
Wage of 1 hour = $12
⇒1$ = [tex]\frac{1}{12}[/tex] hour
⇒$3000 = [tex]\frac{3000}{12}[/tex] = 250 hour
As given,
1 week = 5 days
And he works
[tex]1\frac{1}{2} = \frac{3}{2}[/tex] hour in 1 day
⇒5 days = 5×[tex]\frac{3}{2}[/tex] = [tex]\frac{15}{2}[/tex] hours
⇒1 week = [tex]\frac{15}{2}[/tex] hours
⇒1 hour = [tex]\frac{2}{15}[/tex] week
⇒250 hour = [tex]\frac{250 . 2}{15}[/tex] = 33.34 weeks ≈ 34 weeks
∴ we get
He has to Approximately work for 34 weeks with the extra hour per day to reach your goal.
What percent decrease when the balance in a bank account goes from $300 to $60?
The percent decrease is 20%
The percent decrease is 25%
The percent decrease is 80%
The percent decrease is 87%
HELP ME PLSSSSSS ASAP
Answer:
the answer is 200 mph because you take and divide the 400 miles by 20 mph
Step-by-step explanation:
what is the algebraic expression of
1 less than the quotient of 7 and a number x
Answer:
(7 ÷ x) - 1
Step-by-step explanation:
i tried, i tried
A rectangle shop in the mall has a perimeter of 36 meters. Its area is 80 square meters. What are the dimensions of the shop?
Answer:
Length, l = 10 m, breadth = 8 m
Step-by-step explanation:
Let l be the length and b be the width of the rectangle.
The area of a rectangle is given by :
A = lb
80 = lb ...(1)
The perimeter of a rectangle is given by :
P = 2(l+b)
36 = 2(l+b)
18 = (l+b) ....(2)
We need to solve equation (1) and (2). On solving we get :
l = 10, b = 8
So, the dimensions of the shop is 10 m and 8 m.
x²(2 - 7x) (-x+2)
Expand the following exercise
Answer:
Step-by-step explanation:
Use FOIL method
(2 - 7x)(-x + 2) = 2*(-x) + 2*2 + (-7x)*(-x) + (-7x)*2
= -2x + 4 + 7x² - 14x {Combine like terms}
= 7x² - 14x - 2x + 4
= 7x² - 16x + 4
x²(2-7x)(-x + 2)= x² (7x² - 16x + 4)
= x²*7x² - 16x * x² + 4x²
[tex]7x^{2+2} -16x^{1+2} + 4x^{2}\\\\= 7x^{4} - 16x^{3} + 4x^{2}[/tex]
Help me with those two questions
Given:
A figure in which a transversal line intersect two parallel lines.
[tex]m\angle 2=4x+7, m\angle 7=5x-13, m\angle 5=68[/tex] and [tex]m\angle 3=3y-2[/tex].
To find:
The value of x and y.
Solution:
We know that, if a transversal line intersect two parallel lines, then
(1) Alternate exterior angles are equal.
(2) Same sided interior angles are supplementary. So their sum is 180 degrees.
In the given figure j and k are parallel lines and l is a transversal line.
From the given figure, it is clear that,
[tex]m\angle 2=m\angle 7[/tex] (Alternate exterior angles are equal)
[tex]4x+7=5x-13[/tex]
[tex]7+13=5x-4x[/tex]
[tex]20=x[/tex]
Therefore, the value of x is 20.
Now,
[tex]\angle 3+\angle 5=180[/tex] (Same sided interior angles are supplementary)
[tex]3y-2+68=180[/tex]
[tex]3y+66=180[/tex]
[tex]3y=180-66[/tex]
[tex]y=\dfrac{180-66}{3}[/tex]
[tex]y=\dfrac{114}{3}[/tex]
[tex]y=38[/tex]
Therefore, the value of y is 38.
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 19, 38,76,... 19,38,76,... \text{Find the 8th term.} Find the 8th term.
Answer:
To find the next number in the sequence, multiply the number before by 2.
By this logic, numbers 4-8 in the sequence would be 152, 304, 608, 1,216, and 2,432
Thus, the 8th term is 2,432