9514 1404 393
Answer:
-108
Step-by-step explanation:
About the easiest way to do this for small values of n is to compute each of the terms using the given recurrence relation.
[tex]a_1=4\\\\a_2=-3a_1=-3(4)=-12\\\\a_3=-3a_2=-3(-12)=36\\\\a_4=-3a_3=-3(36)=-108\\\\\boxed{a_4=-108}[/tex]
_____
Alternate solution
You recognize that the recurrence relation describes a geometric sequence with a first term of 4 and a common ratio of -3. The n-th term of a geometric sequence is ...
[tex]a_n=a_1\cdot r^{n-1} \qquad\text{for first term $a_1$ and common ratio $r$}[/tex]
Then the 4th term will be ...
[tex]a_4=4\cdot(-3)^{4-1}=4\cdot(-27)=-108[/tex]
Can someone PLEASE help me I need to find the length of these two ladders, please actually help and don't just guess. If you can show me how you did it too, i will give you brainliest
Answer:
29 feet for second ladder
Step-by-step explanation: I dont think first is possibe(decimals), second 21 square+ 20 square= 441+200=881, root of 881 is 29.
Answer:
As this is a right angled triangle, simply find the hypotenuse
Step-by-step explanation:
We know that the square of hypotenuse is equal to the sum of the square of the other two sides
In formula > h²=a²+b²
We know the values of a and b.
Now simply put the values into the equation to find the answer :)
For 1, h²= 25² + 10²
h² = 625 + 100
=725
h=√(725)
=26.92 feet
Therefore height of ladder = 26.92 feet
For 2,
h²= 21²+20²
h²=441 + 400
h² = 841
h = √841
h = 29 feet
Heigh of ladder = 29 feet
What is the local minimum value of the function? (Round answer to the
nearest hundredth)
g(x) = x4 – 5x² + 4
Answer here
(05.01)A picture is 5 inches wide and 8 inches tall: A rectangle is shown. The length of the rectangle is labeled 5 inches. The width of the rectangle is labeled 8 inches. A photographer wants to use a scale factor of 2.5 to enlarge a picture. What will the area of the picture be after it is enlarged? 40 in2 250 in2 100 in2 81.9 in2
Answer:
B. 250 in²Step-by-step explanation:
Dimensions of the picture:
5 in and 8 inArea of the picture:
5*8 = 40 in²Scale factor = 2.5
Enlarged picture's area:
40*2.5*2.5 = 250 in² (scale factor affects both dimensions)Option B is correct
The area of the picture after it is enlarged is 250 inches².
Given that,
The length of the rectangle is labeled 5 inches. The width of the rectangle is labeled 8 inches.
A photographer wants to use a scale factor of 2.5 to enlarge a picture.
Based on the above information, the calculation is as follows:
Here, the dimensions of the picture are 5 in and 8 in
Hence, the area of the picture is,
5 × 8 = 40 in²
Since, Scale factor = 2.5
So, the enlarged picture's area would be,
40 × 2.5 ×2.5
= 250 in²
To learn more about the rectangle visit:
https://brainly.com/question/2607596
#SPJ6
PLZ HELP this is the question
Answer:
I think is D
I'm not that sure but hope it helps
what is the improper fraction of 1 1/8
Humans living in highly populated areas are more inclined to _______. a. violence b. socially isolate c. appetite loss d. all of the above
Answer:
Humans living in highly populated areas are more inclined to violence.
Answer:
A. Violence
Step-by-step explanation:
got it right, hope this helps!
b=2-7 solve this question please
Answer:
b=−5
Step-by-step explanation:
Subtract the numbers
b=2−7
b= −5
Answer:
b = -5
Step-by-step explanation:
b = 2 - 7
b = -5
What does bc equal ?
Answer:
180
Step-by-step explanation:
Round each number to the tenths place.
0.95
0.63
0.555
Please help !!
[90 points if correct]
Answer:
2201.8348 ; 3 ; x / (1 + 0.01)
Step-by-step explanation:
1)
Final amount (A) = 2400 ; rate (r) = 6% = 0.06, time, t = 1.5 years
Sum = principal = p
Using the relation :
A = p(1 + rt)
2400 = p(1 + 0.06(1.5))
2400 = p(1 + 0.09)
2400 = p(1.09)
p = 2400 / 1.09
p = 2201.8348
2.)
12000 amount to 15600 at 10% simple interest
A = p(1 + rt)
15600 = 12000(1 + 0.1t)
15600 = 12000 + 1200t
15600 - 12000 = 1200t
3600 = 1200t
t = 3600 / 1200
t = 3 years
3.)
A = p(1 + rt)
x = p(1 + x/100 * 1/x)
x = p(1 + x /100x)
x = p(1 + 1 / 100)
x = p(1 + 0.01)
x = p(1.01)
x / 1.01 = p
x / (1 + 0.01)
Answer:
2201.8348 ; 3 ; x / (1 + 0.01)
Step-by-step explanation:
Hope this helps! (:
Please I really need help
Answer:
it would be 1/3
Step-by-step explanation:
Answer: 1/3 chance
Step-by-step explanation:
In total there are 21 animals, 7 of which are a goat or a cow, 7/21 simplified is 1/3
Drag and drop an answer to each box to correctly complete the proof.
Given: m | n m 1 = 50 m 2 = 48°, and line s bisects ABC
Prove: m/3
49°
It is given that m | n m
1 = 50 m
2
- 48° and fine s bisects
ABC By the
m/DEF = 989 Because
angles formed by two parallel lines and a transversal are congruent
DEF
A BC
SO MZABC 98 By the
angles 4 and 5 are congruent
and m
4 is half m
ABC So the measure of in24_49 Because vertical angles
Answer:
Step-by-step explanation:
The correct question is shown in the image attached below.
Recall that: the line m is parallel to line n. In addition to that, [tex]m \angle 1 = 50^0[/tex] and [tex]m \angle 2 = 48^0[/tex], and [tex]\angle ABC[/tex] is bisected by line s.
At this moment, by the angle addition postulate, angle DEF i.e.
∠DEF [tex]= m \angle 1 + m \angle 2[/tex]
∠DEF = 50° + 48°
∠DEF = 98°
Similarly, using the rule of the alternate exterior angle ∠DEF = ∠ABC (∵ alternate exterior angles exhibit congruency).
Furthermore, By the definition of a bisector, angles 4 and 5 are congruent due to the fact that the line of a bisector splits the angle into two equal parts.
m∠4 = m∠5
∴
98/2 = 49°
Finally;
from the diagram, angle 3 and 4 are vertical angles
Thus, m∠3 = 49 by substitution property of equality ( because vertical angles are congruent angles).
Find the VALUE of or EVALUATE 7a - 9 when a = 10. (HINT: 7a means 7 times a which is 7 times 10)
Answer:
61
Step-by-step explanation:
7a-9 = 7(10)-9 = 70-9 = 61
Use the graph that shows the solution to f(x) = g(x).
f(x) = 27* - 4
g(x) = 2x² - 4
f(x)
-2
What is the solution to f (x) = g(x)?
Select each correct answer
9(X)
x = -1
x = 0
X = 1
913
-3 -2
x=2
13
f(x)
3
4
5
7
8
Finish
Answer:(9X+3Y
Step-by-step explanation:
MULTIPLY BY 4
Can someone help me pleaseeee
Answer:
-40
Step-by-step explanation:
An integer is any whole number, positive or negative. However, an integer cannot be a fraction. Since you have just spent $40, you have lost that amount, therefore making your number negative or -40.
Answer 40 - 20
Step-by-step explanation:
20 is he number
Just put the answer A B C D please
Answer:
B
Step-by-step explanation:
Michael earns $9 per hour. He works 28 hours each week. How much does he earn in 6 weeks?
Answer:
$1, 512
This is how:
1) Michael works 28 hours in one week. So how many hours does he work in 6 weeks?
So you need to calculate : 28 × 6 = 168
SO THIS IS THE TOTAL NUMBER OF HOURS FOR 6 WEEKS.
2) because Michael gets paid $9 PER HOUR :
You will need to multiply the amount of money he receives with the total number of hours he works.
168 × 9 = $ 1, 512
He earns $1,512 in 6 weeks
I bought a used,beat up car for $2000.i rebuilt it.
I sold the car for 75% more the what I bought it for. What was my profit
Please help me I need this answer by the end of the day.
Answer:
The answer is 3500
Step-by-step explanation:
All you have to do is get 175% of 2000. This is 3,500.
Graph y < x and y ≥ 4x + 2
Answer:
Image is attached.
Step-by-step explanation:
Remember since the blue line is greater than, instead of being dashed like the red line, it's solid.
2b + 9 when b = 3 I Really need help in math
Step-by-step explanation:
=2b+9
=2×3+9
=6+9
=15
hope it helps.
Is x = 3 a solution to the equation below? (substitute and check if they equal each other)
2(2x+1)+x=8x+2-3x
need step by step explanation
Answer:
yes
Step-by-step explanation:
2(2(3)+1) + 3= 8(3)+2-3(3)
14+3=24+2-9
17=17
WILL GIVE BRAINELIEST ( dont know how to spell it lol)
Temperature can be measured in degrees Celsius (°C). A temperature of 0°C is the freezing point of water. Which statements are true?
Select all correct answers.
A temperature of 10°C is colder than –12°C.
A temperature of 10°C is colder than –12°C.
When the temperature is 70° above freezing, the temperature is 70°C.
When the temperature is 70° above freezing, the temperature is 70°C.
A temperature of –16°C is colder than –12°C.
A temperature of –16°C is colder than –12°C.
A temperature of –8°C is colder than –12°C.
A temperature of –8°C is colder than –12°C.
A half degree above the freezing point is a negative number.
A half degree above the freezing point is a negative number.
When the temperature is 7° below freezing, the temperature is –7°C.
Answer:
When the temperature is 70° above freezing, the temperature is 70°C.
A temperature of –16°C is colder than –12°C.
When the temperature is 7° below freezing, the temperature is –7°C.
A temperature of 10°C is colder than –12°C.
When the temperature is 70° above freezing, the temperature is 70°C.
A temperature of –8°C is colder than –12°C.
When the temperature is 7° below freezing, the temperature is –7°C.
Determine which of the following terms are not considered to be like terms with the expression -6s2t. Select all situations that apply.
( s2)( t)
10 ∙ s2 ∙ t
4( s ∙ t)
-6( s2 + t)
s2t
s2 ∙ t2
Please help I dont have much time
Answer:
[tex](s^{2})(t) , 10^{2}t, s^{2}t[/tex] are the correct answers
Step-by-step explanation:
The others don't work because they don't have the same power for each variable.
Answer:
It is s^2(t), 10 *s^2 * t, and (1/4) (s^2)(t)
What is y equal to ?
Answer:
y= 42
Step-by-step explanation:
angles in a triangle add up to 180
48+90=138
180-138= 42
(if you need the value of x)
180-48=132
132/2=66
x=66
(value of z)
90+66=156
180-156=24
z=24
Choose the algebraic expression that describes: 13 less than y.
Can somebody help me
Answer:
AB ≈ 3.14 ft
Step-by-step explanation:
The arc AB is calculated as
AB = circumference of circle × fraction of circle
= πd × [tex]\frac{45}{360}[/tex] ( where d is the diameter )
= 8π × [tex]\frac{1}{8}[/tex]
= π
≈ 3.14 ft ( to 2 dec. places )
Margo spent $5.00 of the $8.00 in her wallet. Which decimal represents the fraction of the $8.00 Margo spent?
Answer:
is it 3.00
Step-by-step explanation:
Answer:
0.625.
Step-by-step explanation:
To find the decimal of what Margo spent we have to divide the part ($5.00) by the whole ($8.00). Like this:
(5)/(8) = 0.625
Therefore, the decimal that represents the fraction is 0.625.
I hope this helps!!
- Kay :)
Which number(s) are 6 units from zero on a number line?
0-6
m 12
M6
03
SUBMIT ANSWER
ASK FOR HELP
Answer:
Josie is training for a race. The ratio of
the number of minutes she runs to the
number of miles she runs is 24 to 3.
She plans to run 10 miles. How many
minutes will it take her?
2 A chef planning for a large banquet
thinks that 2 out of every 5 dinner
guests will order his soup appetizer.
He expects 800 guests at the banquet.
Use equivalent ratios to estimate how
many cups of soup he should prepare.
3 Fred is making a fruit salad. The ratio
of cups of peaches to cups of cherries
is 2 to 3. How many cups of peaches
will Fred need to make 60 cups of
fruit salad?
4 A community garden center hosts a
plant giveaway every spring to help
community members start their
gardens. Last year, the giveaway
supported 50 families by giving away
150 plants. Based on this ratio, how
many plants will the center give away
this year in order to support 65 families?
5 The first week of January, there are
49 dogs and 28 cats in an animal shelter.
Throughout the month, the ratio of dogs
to cats remains the same. The last week
of January, there are 20 cats in the
shelter. How many dogs are there?
6 A wedding planner uses 72 ivy stems
for 18 centerpieces. When she
Step-by-step explanation:
i think
AN MP3 PLAYER IS ABOUT 1 3 / 4 inches long which statement best describes the length of the MP3 PLAYER?
Screenshot of options is attached below;
Answer:
length is between 1 inch and 2 inches
Step-by-step explanation:
Given that :
Length of Mp3 = 1 3/4 inches
Converting to decimal :
7/4 inches = 1.75 inches
1.75 lies in between 1 inch and 2 inches ;
1.75 > 1 and 1.75 < 2
Hence,
1 < 1.75 < 2
Hence, length is between 1 inch and 2 inches
Please help due in 10 minutes