The table gives values of f(x) at various x in the interval [0, 6], and you have to use them to approximate the definite integral,
∫₀⁶ f(x) dx
with a left-endpoint sum using 3 intervals of width 2. This means you have to
• split up [0, 6] into 3 subintervals of equal length, namely [0, 2], [2, 4], and [4, 6]
• take the left endpoints of these intervals and the values of f(x) these endpoints, so x ∈ {0, 2, 4} and f(x) ∈ {0, 0.48, 0.84}
• approximate the area under f(x) on [0, 6] with the sum of the areas of rectangles with dimensions 2 × f(x) (that is, width = 2 and height = f(x) for each rectangle)
So the Riemann sum is
∫₀⁶ f(x) dx ≈ 2 ∑ f(x)
for x ∈ {0, 2, 4}, which is about
∫₀⁶ f(x) dx ≈ 2 (0 + 0.48 + 0.84) = 2.64
making the answer A.
21m42n32p10
Зm 21n16 р5
Simplify
Step-by-step explanation:
meh dont knowWrite the word sentence as an equation: Four less than one-half of a number m is equal to a number n.
a) 4<1/2m=n b) 4-man c) 465)-m n d) {m-4 =n
Answer: (1/2)m - 4 = n
Step-by-step explanation:
Consider the system of equations shown.
a) The mean age of graduate students at a University is at most 31 y ears with a standard deviation of two years. A random sample of 15 graduate students is taken. The sample mean is 32 years and the sample standard deviation is three years. Are the data significant at the 1% level? The p-value is 0.0264. State the null and alternative hypotheses and interpret the p-value. Write information given with correct symbols. Hypothesis interpret the p-value. b) A bottle of water is labeled as containing 16 fluid ounces of water. You believe it is less than that. What type of test would you use? c) Assume the null hypothesis states that the mean is at most 12. Is this a left-tailed, right-tailed, or two-tailed test? d) What should you do if α = p-value?
Answer:
A.)
H0: μ ≤ 31
H1: μ > 31
B.)
H0: μ ≥ 16
H1: μ < 16
C.)
Right tailed test
D.)
If Pvalue is less than or equal to α ; we reject the Null
Step-by-step explanation:
The significance level , α = 0.01
The Pvalue = 0.0264
The decision region :
Reject the null if :
Pvalue < α
0.0264 > 0.01
Since Pvalue is greater than α ; then, we fail to reject the Null ;
Then there is no significant evidence that the mean graduate age is more Than 31.
B.)
H0: μ ≥ 16
H1: μ < 16
Null Fluid contains 16
Alternative hypothesis, fluid contains less than 16
One sample t - test
C.)
Null hypothesis :
H0 : μ ≤ 12
. The direction of the sign in the alternative hypothesis signifies the type of test or tht opposite direction of the sign in the null hypothesis.
Hence, this is a right tailed test ; Alternative hypothesis, H1 : μ > 12
d.)
If Pvalue is less than or equal to α ; we reject the Null.
I bought 3 bags of red bows.
After I used 3 bows on gifts that I wrapped,
Thad 24 bows left.
How many bows were in each bag?
help me with this question please
Answer:
its actually 16
Step-by-step explanation:
just guess my dood :)
Please help!!!!!!! *will mark Brainiest*
Answer:
-9/14
Step-by-step explanation:
I just used a calculator
What are the known solutions to f(x)=g(x) ?
Select each correct answer.
A.1
B.3
C.5
D.7
E.11
Answer:
C IF NOT D
Step-by-step explanation:
How do you breakdown 5/8+3/10?
Answer:
37/40
you asked how tho, so I included that in the explanation.
Step-by-step explanation:
desimplify:
the LCD is 40
so:
5/8+3/10=25/40+12/40
which is:
37/40
Find the measure of the arc or angle indicated assume that lines which appear tangent are tangent
Answer:
17. C 60°
18. D 121°
Step-by-step explanation:
The external angle is half the difference of the intercepted arcs.
17. (161° -41°)/2 = 60°
__
18. (? -59°)/2 = 31°
? = 59° +2(31°) = 121°
External angle∠C of the given circle is 60°
The angle subtended by the arc VS is 121°
What is the formula for external angle made by extending two chords?External angle is half of the difference between angles subtended by arcs.
So in problem 17,
∠C = (161°-41°)/2 = 60°
In problem 18,
We got the external angle = 59°
Let us take the angle subtended by arc = x
so,
(x-59°)/2 = 31°
x = 121°
Therefore, External angle∠C of the given circle is 60°
The angle subtended by the arc VS is 121°
To get more about circles refer to the link,
brainly.com/question/25938845
please hepl please i want help
Answer:
19/35
Step-by-step explanation: 2/5=14/35 1/7=5/35 14/35+5/35=19/35
Answer:
[tex]\frac{19}{35}[/tex]
Step-by-step explanation:
in order to add fractions, they must have the same denominator.
to get the same denominator you can multiply both fractions to get the same number on the bottom
the LCD of 5 and 7 is 35 so you do
[tex]\frac{1}{7}[/tex] · [tex]\frac{5}{5}[/tex] which equals [tex]\frac{5}{35}[/tex]
and
[tex]\frac{2}{5}[/tex] · [tex]\frac{7}{7}[/tex] which equals [tex]\frac{14}{35}[/tex]
now you can add
[tex]\frac{5}{35} +\frac{14}{35} = \frac{19}{35}[/tex]
Solve for b:19-b=31
Answer:
-12
Step-by-step explanation:
Rebecca buys some socks that cost $5 per pair and 2 t-shirts that cost $12 each. The cost of Rebecca’s total purchase is $39.
Answer:
3 pairs of socks
Step-by-step explanation:
2 shirts *12per shirt = $24 spent so far
$39 - $24 dollars spent so far = $15 dollars left
$15 dollars left/$5 per pair of socks = 3 pairs of socks.
An equation is formed of two equal expressions. The total number of socks that Rebecca bought is 3.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the number of pairs of socks that Rebecca bought be represented by x.
Given that Rebecca buys some socks that cost $5 per pair and 2 t-shirts that cost $12 each. Also, the total purchase value is $39. Therefore, we can write the equation as,
Purchase value of socks + Purchase value of t-shirts = Total purchase value
($5 × x) + ($12 × 2) = $39
5x + 24 = 39
5x = 39 - 24
5x = 15
x = 15/5
x = 3
Hence, the total number of socks that Rebecca bought is 3.
Learn more about Equation here:
https://brainly.com/question/14686792
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X A doghouse is to be built in the shape of a right trapezoid, as shown below. What is the area of the doghouse?
A right trapezoid with top side 7 feet and height 7 feet. The bottom side is extended to the right with 5 more feet.
45.5 square feet 63 square feet 66.5 square feet 84 square feet
Answer:
Area of of the doghouse which is in the shape of right trapezoid is 66.5 square feet.
Step-by-step explanation:
Answer:
66.5 Squared feet
Hope it helps!
The value, in dollars, of an antique has increased exponentially over x years as shown in the graph. Estimate the y-intercept of the function. What does the intercept represent in context? A. 1,000; the percent increase in value of the antique per year B. 1,000; the value of the antique at 0 years of age C. 1,000; the value of the antique at 1 year of age D. 1,000; the amount the value of the antique increases per year
Answer:
The answer is C.
Step-by-step explanation:
I just did the test and the answer was C
The intercept is 1,000; the value of the antique at 1 year of age.
What is slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx
where, m is the slope
Given:
Let us take two points from the graph (0, 1000) and (35, 4000)
Now, slope= ( 4000- 1000)/(35- 0)
= 3000/35
= 600/7
Now, slope- intercept form
y- 1000= 600/7 ( x- 0)
y- 1000 = 600/7 x
y= 600/7x + 1000
Hence, the intercept is 1,000; the value of the antique at 1 year of age.
Learn more about slope here:
https://brainly.com/question/3605446
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Factor out the GCF of the three terms, then complete the factorization of x^4+9x^3+14x^2
Answer:
2
Step-by-step explanation:
find the greatest common factor, and then it is x^2(x+2) (x+7)
The 6th grade classes putting on a talent show to raise money for camp it cost $700 to rent the banquet Hall there going to use if they charge $15 for each ticket how many tickets do they need to sell in order to raise a $1000
An electronic games manufacturer producing a new product estimates the annual sales to be 8000 units. Each year 2% of the units that have been sold will become inoperative. So, 8000 units will be in use after 1 year, [8000 0.98(8000)] units will be in use after 2 years, and so on. How many units will be in use after n years
An archer has $62 to spend on a new archery
set. A certain set containing a bow and three arrows costs $42. With the purchase of this set, he can purchase additional arrows for $4 per arrow. Use an inequality to find the maximum number of arrows he could obtain, including those with the set, for his $62.
Answer:
5 more arrows
Step-by-step explanation:
62 - 42 = 20 20 / 4 = 5
The archer can buy 5 more arrows.
Hope this helps! If it did, please give brainliest! It would help a lot! Thanks! :D
Enter an algebraic equation for the word sentence. Use x as your variable.
A number increased by 7.9 is 8.5.
The equation is
x+7.9=8.5
solving x would be .6
if my answer helps please mark as brainliest.
40 QUESTIONS FOR JUST ONE QUESTION :) QUESTION 6
Answer: Credit to work in process invetory-assembly
Answer:
its C because it makes the most sense "Credit to work in process invetory-assembly."
Step-by-step explanation:
The oak tree in Autumn's backyard is 13 1/3 feet tall. The pine tree in Autumn's backyard is 4 3/4 feet taller than the oak tree. How tall is the pine tree?
Answer:
18 1/2
Step-by-step explanation:
add 13 1/3 and 4 3/4
What is the equation of the line that passes through the point (-2,-2) and has a
slope of 22
Answer:
y=22x+42.
Step-by-step explanation:
1. the common view of the required equation in slope-interception form is:
y=s*x+i, where s - slope, i - interception;
2 if according to the condition s=22, then the required equation is:
y=22x+i;
3. if according to the condition the required line passes through the (-2;-2), then it is possible to substitute its coordinates into the required equation and calculate the value of 'i':
-2=22*(-2)+i; ⇒ i=42;
4. if s=22, i=42, then the required line is:
y=22x+42.
Vera had 96 marbles.During a game,he lost 36.What is percentage of his marbles je had remaining????
Answer:
62.5%
Step-by-step explanation:
96 - 36 = 60
60/96
simplified = 62.5% remaining
Helpppppppppppppppp
I only have 5 minutes left
Answer:
C
Step-by-step explanation:
Two angles are supplementary. If one angle is 45° less than twice of the other angle, find the two angles.
Answer:
we will call the two angles a and b
a = 105
b = 75
Step-by-step explanation:
Supplementary means the two angles add up to 180 degrees. Now this turns into a system of equations problem. let's call the two angles a and b.
Lets say angle a is 45 degrees less than twice the other angle. that means a = 2b - 45. The first part told us a + b = 180
a + b = 180
a = 2b - 45
Now this is actually super easy to do. Normally you would have to do algebra to one of the two equations so there is one variable by itself. the second equation already has that.
now look at the other equation. instead of a though make a = 2b - 45
a + b = 180
2b - 45 + b = 180
Now use algebra to solve for b
2b - 45 + b = 180
b = 75
Now, go back to the first two equations. put 75 in for b for either one of them and you will get the answer to a.
a + 75 = 180
a = 105
or
a = 2*75 - 45
a = 105
Now we can check. a=105 and b = 75
do both add up to 180? yep. is a 45 less than twice b? or using numbers, is 105 45 less than twice 75? well twice 75 is 150. and 105 is 45 less than that, so yep!
Let me know if there was anything you didn't get. Also you could totally have started with the other equation first and got a = 180 - b or b = 180 - a and gotten the same answer.
I need help on this if you would like (:
helpppppp ill give brainliest answer if you know
Answer: 522.67 mm^3
Step-by-step explanation:
use formula
Part 1 : Adding & Subtracting Monomials
Answer:
1. 15a⁵b²+4a⁵b²
= 19a⁵b²
2. -7m-m²+4m²-3m
= -7m -3m -m²+4m²
= -10m +4m²
3. 2pq⁷ and -pq⁷
= (2pq⁷) +(-pq⁷)
= 2pq⁷-pq⁷
= pq⁷
4. -13xy from -5xy
= -5xy - 13xy
= - 18xy
it's your answer . check it out