Answer:linear binomial
Step-by-step explanation:
Answer:
B) Linear binomial.
Step-by-step explanation:
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What is the correct formula to find the sum of the finite geometric series below?
[tex]\displaystyle 2 + \frac{2}{3} + \frac{2}{9} + \ ... \ + \frac{2}{3^6}[/tex]
We are given the Geometric Series:
[tex]2 + \frac{2}{3} + \frac{2}{9} + \frac{2}{27} + \frac{2}{81} + \frac{2}{243} + \frac{2}{729}[/tex]
which can be rewritten as:
[tex]2 + \frac{2}{3} + \frac{2}{3^{2} } + \frac{2}{3^{3}} + \frac{2}{3^{4}} + \frac{2}{3^{5}} + \frac{2}{3^{6}}[/tex]
here, we can see that every term is (1/3) times the last term
Hence, we can say that the common ratio of this Geometric Series is 1/3
Finding the Sum:
We know that the sum of a Geometric Series is:
[tex]S_{n} = \frac{a(r^{n}-1)}{r-1}[/tex]
(where r is the common ratio, a is the first term, and n is the number of terms)
another look at the given Geometric Series tells us that the first term is 2 and the number of terms is 7
plugging these values in the formula, we get:
[tex]S_{n} = \frac{2((1/3)^{7}-1)}{(1/3)-1}[/tex]
[tex]S_{n} = \frac{-1.99}{-0.67}[/tex]
Sₙ = 2.97
Step-by-step explanation:
[tex] \tt2 + \frac{2}{3} + \frac{2}{ {3}^{2} } + \frac{2}{ {3}^{3} } + \frac{2}{ {3}^{4} } + \frac{2}{ {3}^{5} } + \frac{2}{ {3}^{6} } [/tex]
r = [tex]\tt{a_2 \div a_1}[/tex]
r = [tex]\tt{\frac{2}{3} \div 2}[/tex]
r = [tex]\tt{\bold{\frac{1}{3}}}[/tex]
Soo :
[tex] \sf s_n = \frac{a( {r}^{n} - 1) }{r - 1} [/tex]
[tex] \sf s_7 = \frac{2(( \frac{1}{3} ) {}^{7 - 1} - 1) }{( \frac{1}{3} - 1) } [/tex]
[tex] \sf s_7 \approx \bold{ \underline{2.97}}[/tex]
Pls help me with this
Write the polynomial in factored form as a product of linear factors:
p(a) = a^3 + 3a^2+ 9a + 27
zeros of polynomial.
Answer:
Step-by-step explanation:
p(A) = a^3 + 3a^2 + 9a + 27
put brackets around the 1st and second terms and another set around the 3rd and 4th
P(a)= (a^3 + 3a^2) + (9a + 27)
Using the distributive property, pull out the common factor for each of the 2 terms that contain the brackets.
P(a) = a^2 ( a + 3) + 9(a + 3)
Let a + 3 = x
P(a) = a^2x + 9x
Put brackets around these 2 terms
P(a)= x(a^2 + 9)
Substitute a + 3 for x
P(a) = (a + 3) ( a^2 + 9)
Which graph represents a function with an initial value of 1/2?
Answer:
The initial value is the value of the y-coordinate when the x-coordinate is equal to 0. That is the same to say the value at which the graph intercepts the y-axis. So, you just have to pick the graph whose line intercepts the y-axis at 1/2.
Peter was given 40 words to spell to qualify for a prize. He must spell at least 90% of those words correctly. At least how many words should he have to spell correctly to get the prize?
Answer:
He should have to spell at least 36 of these words correctly.
Step-by-step explanation:
40 words.
He must spell at least 90% of those words correctly.
At least how many words should he have to spell correctly to get the prize?
90% of 40. So
0.9*40 = 4*9 = 36
He should have to spell at least 36 of these words correctly.
f(x) = 6X-8
g(x) = -3x+2
Find 3f(x)+2g(x).
What is this answer
Answer:
12x-20
Step-by-step explanation:
f(x)=6x-8
3f(x)=3(6x-8)
3f(x)=18x-24
g(x)=-3x+2
2g(x)= -6x+4
3f(x)+3g(x)=(18x-24)+(-6x+4)
=18x-24-6x+4
=12x-20
A 3 ounces b 4 ounces c 12 ounces or D 15 ounces helps plsss
Answer:
D 15
Step-by-step explanation:
[tex]\frac{5}{20}[/tex]=[tex]\frac{x}{60}[/tex]
Question 20 (5 points)
All of the pairs of corresponding angles and sides in ACATand ADOG are congruent.
Based on this information, which of the following is a true statement?
A) A DOG has half the area of ACAT.
B) ACATis congruent to ADOG.
C) ADOG has been dilated to form ACAT.
D) There isn't enough information to make a statement about ADOG and ACAT.
9514 1404 393
Answer:
B) ΔCAT is congruent to ΔDOG
Step-by-step explanation:
If angles are congruent, the triangles are similar. When both corresponding angles and corresponding sides are congruent, the triangles are congruent.
ΔCAT is congruent to ΔDOG
choosing an ice cream cone from waffle, plain,
or sugar and a flavor of ice cream from
chocolate, vanilla, or strawberry
Answer:
vanilla,cone
Step-by-step explanation:
Emily bought 48 yards of fabric to make curtains. What is that length in inches?
Answer:1 yard = 36 inches
48 X 36 = 1728 inches
F178 * 34 = 6052, then 60.52 = 17.8 is equal to
Answer:
sin ( 330 ) − 4 cot( − 45 ) csc ( 60 )
Step-by-step explanation:
Solve and check each equation below . show all work . 24=g+14. f-9=12
Answer:
g = 10
f = 21
Step-by-step explanation:
Given equations:
24 = g + 14
f - 9 = 12
24 = g + 14
Subtract 14 from both sides
24 - 14 = g + 14 - 14
10 = g
g = 10
Check:
24 = g + 14
24 = 10 + 14
24 = 24
f - 9 = 12
Add 9 to both sides
f - 9 + 9 = 12 + 9
f = 21
Check:
f - 9 = 12
21 - 9 = 12
Find 3 consecutive even integers such that 5 times the second is 82 more than the first .
Many professional sports are arguing that they need a new stadium to be competitive, as newer stadiums can bring in more fan revenue which can in turn allow teams to buy more expensive players. Some major league baseball teams have built new stadiums in the past decade. Consider the attendance (in millions) in the last year of the old stadium and the first year of the new stadium. Using a sample of 5 randomly selected teams, researchers would like to determine if there is any evidence that attendance levels differ between using old vs new stadiums. The data for these five teams are shown below:
Team Attendance (in millions)
Old Stadium New Stadium
Cincinnati Reds 1.9 2.4
New York Yankees 4.3 3.7
Philadelphia Phillies 2.3 3.3
Seattle Mariners 2.7 2.9
Washington Nationals 1.9 2.3
Required:
a. Calculate the test statistic appropriate to the correct statistical method.
b. Suppose all assumptions were satisfied for valid inference, and the researcher found a statistically significant lower average attendance in the new stadium compared to the old stadium. (This does not mean that this data support this conclusion - this is just hypothetical.) Does this mean that the new stadium caused attendance to decrease? Why or why not?
Answer:
Test statistic = 1.1508
Step-by-step explanation:
Given the data provided
We have to make a table and find d and d²
From the calculations I did in the attachment
n = 5
d² = 1.81
d = 1.5
The t test statistic = 1.5/1.3038 = 1.1505
B. No the new stadium may not have caused the attendance t decrease in this case. Other factors could be responsible for the low attendance.
Convert 1.375 to decimal fraction؟
Step-by-step explanation:
11/8 if I'm not wrong
...
Answer:
fgiigdyh
Step-by-step explanation:
!!!!!!! PLEASE HELP!!!!!
Answer:
You have to do 7x+2+6x+9 Which is 13x+11.
Step-by-step explanation:
Elizabeth made a scale drawling of a city of Colorado. The scale of the drawling is 1inch=4 yards.an open space is 17 inches in the drawling. How wide is the actual open space.
Answer:
B
Step-by-step explanation:
Jrkrkr
a company makes carboard cylindrical boxes with a diameter of 10 inches and a height of 8 inches.how many square inches of carboard are needed for each box? Use 3.14 for pi.
Answer:
408.2sq inches
Step-by-step explanation:
Area of the cylindrical box = 2πr(r+h)
r is the radius = diameter/2
r = 10/2 = 5in
h is the height = 8in
Substitute
Area of the cylindrical box = 2(3.14)(5)(5+8)
Area of the cylindrical box = 2 * 3.14 * 5 * 13
Area of the cylindrical box = 408.2sq inches
The points (3,h) and (10,1) fall on a line with a slope of
4/7 What is the value of h?
Answer:
h = -3Step-by-step explanation:
Use slope formula:
(1 - h)/(10 - 3) = 4/7(1 - h) / 7 = 4/71 - h = 4h = 1 - 4h = -3Answer:
The answer is h = -3
Step-by-step explanation:
(1 - h)/(10 - 3) = 4/7
(1 - h) / 7 = 4/7
1 - h = 4
h = 1 - 4
h = -3
is 0.70 equal to 7/10
yes the fraction of .70 is 7/10
Answer:
Yes
Step-by-step explanation:
0.70 = 7/10
Describe the relationship between the area of a circle and its circumstances
Answer:
[tex]A = \frac{r}{2}C[/tex]
Step-by-step explanation:
Given
Shape: Circle
Required
The area and the circumference (relationship)
This implies that, we write an expression that relates the area and the circumference.
Circumference is calculated as:
[tex]C = 2\pi r[/tex]
Area is calculated as:
[tex]A = \pi r^2[/tex]
The area can be rewritten as:
[tex]A = \frac{2\pi r^2}{2}[/tex]
Further rewrite as:
[tex]A = \frac{r}{2}*2\pi r[/tex]
Recall that:[tex]C = 2\pi r[/tex]
So, the expression becomes
[tex]A = \frac{r}{2}*C[/tex]
[tex]A = \frac{r}{2}C[/tex]
find the measure of arc URT
Hello!
This question is about relating vertical angles and their arc lengths.
Vertical angles have equal angle measures, meaning that they will also have the same arc measure.
We know that arc QR and arc UT have equal angle measures because they are formed with vertical angles.
That means since we know the measure of the other two arcs, which will both be 125 since they are formed with vertical angles, we can solve for the two unknown arc lengths.
A circle is 360 degrees, meaning that we can make the following equation,
[tex]360=QR+UT+125+125[/tex]
[tex]QR+UT+250=360[/tex]
[tex]QR+UT=110[/tex]
Since QR = UT
[tex]QR/UT=55[/tex]
Now, we can solve for arc URT using all the arc measures we have.
[tex]URT=125+55+125[/tex]
[tex]URT=305[/tex]
Hope this helps!
Convert 65 degress celsius to degress farenheit.
If necessary, round your answer to the nearest tenth of a degree
Here are the formulas :
C=5/9 ( f-32)
F= 9/5 C+32
Answer: 150 degrees
Step-by-step explanation:
Answer:
149°F
Step-by-step explanation:
The Celsius measure is 65° . We know the relation between Celsius and Farenheight as ,
⇒ C/5 = F-32/89
⇒ 65/5 = F-32/9
⇒ 13 = F-32 / 9
⇒ F - 32 = 13 × 9
⇒ F = 117 + 32
⇒ F = 149 °F
Hence the Faeenheight measure is 149°F .
What would be 12.67 rounded to the nearest tenth.
Answer:
12.7
Step-by-step explanation:
Remember this rule when rounding 5 and below let it go (ex. 12.32 = 12.3) 6 and above give it a shove (ex. 12.47 = 12.5).
The Lane School sold 1,152 granola bars to raise money for digital cameras. All the granola bars were either berry bars or raisin bars. They sold 528 berry bars, and the rest were raisin bars. The granola bars came in boxes of 24 bars. How many boxes of raisin bars did they sell?
Answer:
26 boxes of raisin bars
Step-by-step explanation:
Take the total bars sold 1152 then subtract the berry bars 528 and you'll get 624. Next you'll divide the 624 by 24 because that's how many that's in a full box. Finally you'll get your answer of 26 boxes.
1152-528=624 ➗ 24 = 26
roy is 30 miles from dallas ready to leave for pecos
Answer:
It represents the 270 miles that Roy and Travis must travel in 4 hours in order to meet somewhere along the highway.
Step-by-step explanation:
From the information given, the point of interception (4, 270) represent the number of distance, 270 miles, that both Roy and Travis must travel in 4 hours in order to meet along the highway where Roy will give Travis the key to a treasure chest to Roy.
The point intersection (4, 270) represents the time and distance Roy and Travis met
The graph above are linear graph.
Linear graphLinear graph are straight line graph.
Therefore,
d represents a distance in miles from Dallas
h represents the hours travelled
Roy is leaving for Pecos while Travis is in Pecos ready to leave for Dallas.
Therefore, the point intersection (4, 270) represents the time and distance Roy and Travis met.
learn more on linear graph here:https://brainly.com/question/1328896
PLEASE HELP
The Miller family spent a total of $317.05 hosting a party for their grandparents' 50th wedding anniversary. They spent $48.55 on decorations and $8.95 per person on food.
Which equation could be used to find the number of people (x) at the anniversary party?
A.
48.55 + 8.95x = 317.05
B.
48.55x + 8.95 = 317.05
C.
48.55x − 8.95 = 317.05
D.
48.55 − 8.95x = 317.05
Is this linear, exponential growth, exponential decay, or neither?
Answer:
exponential decay
Step-by-step explanation:
the y coordinates are getting smaller while x gets bigger so for 1x y is .5 then .25 then .125 etc..
When Ricardo was 9 years old, he was 56 inches tall. By age 12, he had increased his
height by 12%. How tall is he now?
Answer:
He is 62.72 inches tall now
Step-by-step explanation:
the twelve over 100 is the percentage, he increased by 12 percent. and the x over 56 is the new value (x) over the old value. We get 6.72 so we add that to 56 to get 62.72.
Please help I’m unsure of what the answer is