Answer:
It is 603 units greater
Step-by-step explanation:
Given
See attachment for table
Average rate of change over (a,b) is calculated as:
[tex]Rate = \frac{f(b) - f(a)}{b-a}[/tex]
For interval [7,9], we have:
[tex][a,b] = [7,9][/tex]
So, we have:
[tex]Rate = \frac{f(9) - f(7)}{9-7}[/tex]
[tex]Rate = \frac{f(9) - f(7)}{2}[/tex]
From the table:
[tex]f(9) = 3878[/tex]
[tex]f(7) = 1852[/tex]
So:
[tex]Rate = \frac{f(9) - f(7)}{2}[/tex]
[tex]Rate = \frac{3878 - 1852}{2}[/tex]
[tex]Rate = \frac{2026}{2}[/tex]
[tex]Rate = 1013\\[/tex]
For interval [4,6], we have:
[tex][a,b] = [4,6][/tex]
So, we have:
[tex]Rate = \frac{f(6) - f(4)}{6-4}[/tex]
[tex]Rate = \frac{f(6) - f(4)}{2}[/tex]
From the table:
[tex]f(6) = 1178[/tex]
[tex]f(4) = 358[/tex]
So:
[tex]Rate = \frac{f(6) - f(4)}{2}[/tex]
[tex]Rate = \frac{1178 - 358}{2}[/tex]
[tex]Rate = \frac{820}{2}[/tex]
[tex]Rate = 410[/tex]
Calculate the difference (d) to get how much greater their rate of change is:
[tex]d = 1013 - 410[/tex]
[tex]d = 603[/tex]
Answer:
603
Step-by-step explanation:
i took it
Your friend has two standard decks of 52 playing cards and asks you to randomly draw one card from each deck. What is the probability that you will draw two spades?
Answer:
If you have 2 decks of 52, it would be 1/52 chance per card, so since there are two, add it up, its 2/104
Step-by-step explanation:
Answer:
1/16
Step-by-step explanation:
:))
pls help this stuff is so hard to understand
Answer:
y = 0.5 (2)^x
Step-by-step explanation:
3rd option
you can plug in a coordinate point like (2, 2) to check this.
What is the value of 6 r + 6 − 4 s , when r = 7 and s = 3 ?
Answer:
36
Step-by-step explanation:
6r + 6 - 4s
r = 7
s = 3
6(7) + 6 - 4(3)
42 + 6 - 12
(remember PEMDAS, adding/subtracting left to right)
48 - 12 = 36
therefore the answer is 36
hope this helps ! :)
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{6r + 6 - 4s}[/tex]
[tex]\large\text{If r = 7 & s = 3, then SUBSTITUTE it into the EQUATION}[/tex]
[tex]\large\textsf{6(\underline{7}) + 6 - 4(\underline{3})}[/tex]
[tex]\large\textsf{6(7) = \bf 42}[/tex]
[tex]\large\textsf{\bf 42}\large\textsf{ + 6 - 4(3)}[/tex]
[tex]\large\textsf{42 + 6 = \bf 48}[/tex]
[tex]\large\text{\bf 48}\large\text{ - 4(3)}[/tex]
[tex]\large\textsf{4(3) = \bf 12}[/tex]
[tex]\large\textsf{48 - \bf 12}[/tex]
[tex]\large\textsf{= \bf 36}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \textsf{\huge \bf 36}}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Answer? ................,,,,,,
Step-by-step explanation:
what is the formula for the whole surface area of a sphere ?
[tex]a = 4 \times \pi \times {r}^{2} [/tex]
that would give us the whole surface area all 360 degrees or 2×pi arc length all around the sphere.
but we don't need all 360 degrees. we only need the Theta'th (that is the specified angle) part.
in radians the arc length of that angle segment on the "equator" of the sphere
s = r×Theta
and the whole equator circumference is
c = 2×pi×r
so, the Theta'th part is then
r×Theta / 2×pi×r = Theta / 2×pi
we only need that part of the whole sphere surface area, so the formula would look like
[tex]lune = theta \times 4 \times \pi \times {r}^{2} \div (2 \times \pi)[/tex]
=>
[tex]lune = theta \times 2 \times {r}^{2} [/tex]
yoo please help me out
Answer:
70
Step-by-step explanation:
What is the volume of an 8-inch by 4-inch by 44-inch rectangular box?
Answer:
1408
Step-by-step explanation:
Answer:
1,408 cm³.
Step-by-step explanation:
To find the volume of a rectangular prism, or in this case, a rectangular box, multiply the length, width, and height.
[tex]4*8*44=1,408 in^3.[/tex]
Therefore, the volume of the rectangular box is 1,408 cm³.
I will give you Brainiest if you are right.
Answer:
C. 3x + 6
Step-by-step explanation:
x + x + x + 1 + 1 + 1 + 1 + 1 + 1 + (-1) + (-1) =
= 3x + 6
Answer: C. 3x + 6
Listed below are the summary statistics from samples of strontium-90 in baby teeth obtained from twelve Pennsylvania residents and another twelve from New York residents born after 1979. PA NY Mean 147.583 136.417 Stdev 10.6383 5.21289 If we wished to test the claim that the mean amount of strontium-90 from Pennsylvania residents is greater than the mean of New York residents, and can assume that the variances are equal, what is the Test Statistic for this test
Answer:
9.72
Step-by-step explanation:
s1 = 10.6383 ; s2 = 5.21289
x1 = 147.583 ; x2 = 136.417
n1 = 12 ; n2 = 12
df1 = n1 - 1 = 12 - 1 = 11
df2 = n2 - 1 = 12 - 1 = 11
The test statistic :
(x1 - x2) / sqrt[(sp²/n1 + sp²/n2)]
Pooled variance = Sp² = (df1*s1² + df2*s2²) ÷ (n1 + n2 - 2)
Sp² = ((11*10.6383) + (11*5.21289)) / 22 = 7.926
Test statistic, T* :
(147.583 - 136.417) / √(7.926 * (1/12 + 1/12))
11.166 / √(7.926 * (1/6)
11.166 / √1.321
11.166 / 1.1493476
T* = 9.7150766
Test statistic = 9.72
The radius of a circle is 6.1 millimeters. What is the circle's area?
[tex]area = \pi \times {r}^{2} \\ area = 3.142 \times {6.1}^{2} \\ area = 3.142 \times 37.21 \\ area = 116.91 {mm}^{2} [/tex]
Find the surface area of the cone. Round answer to the nearest tenth.*
Answer:
628.319 rounded= 628.3
Step-by-step
Which angles are pairs of corresponding angles? Check all that apply.
1/2
4 3
516
87
9 110
12111
13/14
16/15
1 and
3
Answer: The pair of corresponding angles are ∠2 and ∠14 , ∠3 and ∠7 . Option (B) and (D) is correct . When two lines are parallel to each other and cross by another line i.e is called the Transversal , the angles lies in the matching corners are called corresponding angles.
hope it helps!!
From the options given, the angles that are pairs of corresponding angles given in the image are:
∠2 and ∠14 ∠3 and ∠7 What are Corresponding Angles?Corresponding angles will always lie on the same transversal and occupy the same relative position on the two different parallel lines that are intersected by the transversal.
Therefore, from the options given, the angles that are pairs of corresponding angles given in the image are:
∠2 and ∠14 ∠3 and ∠7
Learn more about corresponding angles on:
https://brainly.com/question/2009183
Use the figure to find the measures of the numbered angles.
EXPLAIN YOUR REASONING
Answer:
1 = 61°
2 = 119°
3 = 61°
4 = 119°
5 = 119°
6 = 61°
7 = 119°
Step-by-step explanation:
∠1 and 61° are corresponding angles, therefore, they would be the same angle; ∠1 = 61°.
∠2 and 61° are supplementary angles, therefore, ∠2 would be 119°.
∠3 and ∠1 are vertical angles, therefore, ∠3 = 61°.
∠4 and ∠3 are supplementary angles, therefore, ∠4 would be 119°.
∠5 and 61° are supplementary angles, therefore, ∠5 would be 119°.
∠6 and ∠1 are alternate exterior angles, therefore, ∠6 would be 61°.
∠7 and ∠6 are supplementary angles, therefore, ∠7 would be 119°.
The 8 red markers in a package account for 4% of all markers in the package. How many markers are in the package?
Answer:
192 markers
Step-by-step explanation:
if 8 = 4% then 2=1%
so we can assume there are 200markers in the package.
8-200= 192 markers
need ko na po this now
please answer this question
thank you po
Answer:
B.
Step-by-step explanation:
Multiply.
(-3+2i)(-4+4i)
Write your answer as a complex number in standard form.
Answer:
4 - 20 i
Step-by-step explanation:
you do stuff and you get 4 - 20 i
What is 103% of 127?
Answer:
130.81
Step-by-step explanation:
127 ⋅ ( 103/ 100 ) =130.81
In the figure to the right, what is the measure of angle DAC ?
I’m not going to show answer Options because I don’t want anyone to put something random
Don’t put links cs I’m not going to press it <3
Answer:
47 degrees
Step-by-step explanation:
i am super smart
Use the compass and ruler to construct the bisector of the angle given below.
Bisector of the angle is the line that divides the angle into two angles with the same measure. In the image attached, the bisector of the angle is represented by the green line.
The next steps show you how to construct the bisector of the angle from a ruler and a compass.
Draw an arc using the vertex of the angle (O) as the center;Mark the points A and B;Draw an arc using the point (A) as the center;Draw an arc, with the same radius, using the point (B) as the center. This arc should intersect the arc that you draw in the previous step. Draw a line connecting the point C to the vertex O.Finally, you have the bisector of the angle that is represented by the green line.
Learn more about the bisector of the angle here:
https://brainly.com/question/7288045
What number is halfway between 0.36 and 0.48 on a number line?
Answer:
0.42
Step-by-step explanation:
they are both multiples of 0.06
think of it like 6 x 6= 36 and 6 x 8 = 48
6 x 7 = 42 would be halfway
Answer:
0.42
Step-by-step explanation:
To find the half, add da numbers and divide by 2. So 0.36 and 0.48 added together is 0.84. That divided by 2 is 0.42.
Find the number of sides of a regular polygon if the sum of the interior angles of the
polygon is 7020
Answer:
n = 6
Step-by-step explanation:
Given the following data;
Sum of interior angles, S = 720°
Mathematically, the sum of the interior angles in a regular polygon is given by the formula;
S = 180(n - 2)
Where;
n is the number of sides.
S is the sim of the interior angles
720 = 180(n - 2)
720 = 180n - 360
180n = 720 + 360
180n = 1080
n = 6
Which choices describe a Subscript n Baseline = 4 (0.9) Superscript n? Check all that apply.
S1 = 4
S2 = 6.84
S3 = 10.156
The sequence diverges.
Answer:
b and d
Step-by-step explanation:
edge 2021
If the first term (a) is 4 and the common ratio (r) is 0.9, then the sequence diverges. Then the correct option is D.
What is a geometric sequence?Suppose the initial term of a geometric sequence is a
and the term by which we multiply the previous term to get the next term is r
Then the sequence would look like
a, ar, ar², ar³, ...
The sequence is given below.
[tex]\rm a_n = 4 (0.9)^n[/tex]
Then the sum of the sequence will be given as
The first term (a) is 4. And the common ratio (r) is 0.9.
Then we get
[tex]\rm S_n = \dfrac{a (1 - r ^n)}{ (1 - r)}\\\\\rm S_n = \dfrac{4 (1 - 0.9 ^n)}{ (1 - 0.9)}\\\\\rm S_n = \dfrac{4 (1 - 0.9 ^n)}{0.1}\\\\\rm S_n = 40 (1 - 0.9^n)[/tex]
For n = 1, we have
S₁ = 40 (1 - 0.9)
S₁ = 40 x 0.1
S₁ = 4
For n = 2, we have
S₂ = 40 (1 - 0.9²)
S₂ = 40 x 0.19
S₂ = 7.6
For n = 3, we have
S₃ = 40 (1 - 0.9³)
S₃ = 40 x 0.271
S₃ = 10.84
If the common ratio is less than one then the sequence will diverge.
Learn more about geometric sequence here:
https://brainly.com/question/2735005
#SPJ2
A hat contains 3 blue and 5 black tickets.
If one ticket is chosen at random from the hat, what is the probability that it is blue?
I WILL GIVE BRAINLIST ANSWER
Answer:
the answer is 3/8
Step-by-step explanation:
A cylinder has a volume of 659.4 cubic centimeters. The diameter of the cylinder is 10 cm. What is the height of the cylinder?
(Assume = 3.14)
A.
42 cm
B.
2.1 cm
C.
8.4 cm
D.
21 cm
The height is 8.4.
Calculated with H = V / πr^2, with H for height, V for volume, and r for radius (the diameter divided by 2).
Find the answer for x
Answer:
I think the answer is 75.
Step-by-step explanation:
because 35 + 70 is equal to 105. So now we will just subtract 105 by 180. which will give us 75.
If Sn=2^n-1
what's the expression of
Sn-1?
Answer:
[tex]S(n-1)=2^{n-2}[/tex]
Step-by-step explanation:
Given that,
The value of [tex]S_n=2^{n-1}[/tex]
We need to find an expression for [tex]S(n-1)[/tex]. To find it, put the value of n as (n-1). So,
[tex]S_{n-1}=2^{n-1-1}\\\\=2^{n-2}[/tex]
Hence, the value of S(n-1) is equal to [tex]2^{n-2}[/tex].
What is the surface area of the net? *inches squared*
9514 1404 393
Answer:
75 in^2
Step-by-step explanation:
The central vertical rectangle (including "ears") has dimensions
3 in wide by (9+2+2) = 13 in tall
Its area is
A = LW = (3 in)(13 in) = 39 in^2
__
The two rectangles either side of that have dimensions 2 in by 9 in. The area of each of them is
A = LW = (2 in)(9 in) = 18 in^2
__
The total net area is the sum of the areas of the parts:
left rectangle + central rectangle + right rectangle
= 18 in^2 + 39 in^2 + 18 in^2 = 75 in^2 . . . . surface area of the net
Number 26 (PlSss Help I really need help on this) I’ll give 15 points!!!!!!
[tex]\mathcal\pink{The \: answer \: is }[/tex]
only one window has height that is a whole number of centimeters
[tex]\mathcal{HOPE \: IT \: HELPS}[/tex]
[tex]\huge\pink{mark \: as \: brainliest}[/tex]
Find the measure of each numbered angle or are.
Answer:
<2 = 133degrees
<1 = 135degrees
Step-by-step explanation:
From the diagram, the angle <2 and 47 are supplementary, hence;
<2 + 47 = 180
<2 = 180 - 47
<2 = 133degrees
To get <1;
47 = 1/2(<1 - 41)
47 * 2 = (<1 - 41)
94 = <1 - 41
<1 = 94 + 41
<1 = 135degrees
H
45
G
8
F
3
Ε
Find
cos FHE.
Answer:
no sé pero lo nesesito porfavor
Answer:
Its B. 4/5
Step-by-step explanation:
on edge 2020 :)
What is the coefficient in the following expression?
5a– 7