Answer:
Step-by-step explanation:
set the equation for the area equal to the equation of the perimeter.
Then solve for x
-----------------------------
Figure a
area = perimeter
3x = 2(x + 3)
Distribute
3x = 2x + 6
subtract 2x from both sides
x = 6
perimeter
p = 2(x + 6)
p = 2(3 + 63)
p = 18
Area
a = 3x
a = 3*6
a = 18
----------------------------
Use the same method on the remaining figures
There are 1,281 souvenir paperweights that need to be packed in boxes. Each box will hold 15
paperweights. How many boxes will be needed?
Answer:
86 boxes
Step-by-step explanation:
After researchers conditioned a dog to salivate to the sight of a triangle, they presented the triangle alone to the dog every three minutes. Over the course of several trials, the amount of saliva the dog secreted in response to the triangle decreased to zero. At that point, the researchers put the dog back in his cage for three hours. What happened the after the three hours the dog rested and went through the conditioning process again
Answer: Spontaneous recovery likely occurred, and the dog salivated in response to the triangle
Step-by-step explanation:
Spontaneous recovery is the reappearance of the conditioned response when a rest period has taken place or when there's a period of lessened response.
In this case, since the researchers put the dog back in his cage for three hours after which the dog went through the conditioning process again after the three hours, then there'll be a spontaneous recovery.
What is the recursive formula for this geometric sequence?
-3, -21, -147, -1029, ...
5. Of the quadratic functions shown below, which has imaginary zeroes?
(1)
(3)
(2)
(4)
Can anyone help me with this question pls ! I would appreciate it !!
-
A great white shark swims 56 feet below sea level and is 97ft from the sail boat
What is the ANGLE OF DEPRESSION from the sail boat to the shark ?? ( round the the nearest WHOLE degree )
Answer:
35
Step-by-step explanation:
We use trignometry here
Assuming that the angle created between the surface of the sea and the 56feet below line is 90 degrees.
So we use the sin rule
sin90/97 = sin x/56
multiply 56 to the other side
56*sin90/97 = sin x
sin90=1
56/97 = sin x
x= sin^-1 (56/97)
x= 35.3
Round and you get 35
A fair dice is rolled 3 times in a row. The outcomes are shown below.
Calculate the probability of all three events occurring.
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]\frac{1}{6} + \frac{1}{6} + \frac{1}{6} =\frac{1}{2}[/tex]
A random variable X is exponentially distributed with an expected value of 68.
a-1. What is the rate parameter A? (Round your answer to 3 decimal places.)
Rate parameter
a-2. What is the standard deviation of X?
Standard deviation X
b. Compute 264 s XS 72). (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.)
P(64 SX S72)
KoKo Chocolatiers sells their truffes in rectangular boxes. They are going to start ordering circular boxes, too. The rectangular box is made from metal that is 0.3 cm thick. The circular box will be constructed from laminated cardboard that is 0.2 cm thick. The height of the circular box will be the same as the rectangular box. If the volumes of the two boxes are equal, then what is the radius (r) of the circular box?
Answer:
r = 9.61 cm
Step-by-step explanation:
Volume of a rectangular box = length × width × height
= 21.5 cm × 13.5 cm × 6 cm
= 1,741.5 cm³
Volume of a rectangular box = 1,741.5 cm³
Since,
Volume of a rectangular box = Volume of a circular box
Then,
1,741.5 cm³ = Volume of a circular box
Volume of a circular box = πr²h
1,741.5 cm³ = 3.14 * r² * 6 cm
1,741.5 = 18.84r²
r² = 1,741.5/18.84
r² = 92.436305732484
r = √92.436305732484
r = 9.6143801533163
Approximately,
r = 9.61 cm
Please help will give brainiest. Find the length x of the shelf
Answer:
11
Step-by-step explanation:
15-12=3
so
x-8=3
x=11
Answer:
22.5 in.
Step-by-step explanation:
Both triangles have 110º so that means they are equal.
12x15=180 inches
180 ÷ 8 = 22.5So, X=22.5 inches
It takes Priti 4 hours to drive from Ashdown to Bridgeton at an average speed of 50 mph. She then drives 30 miles from Bridgeton to Carton at an average speed of 40 mph. Assuming Priti doesn't stop, what is her average speed from Ashdown to Carton to 1 dp?
Answer:
Her average speed from Ashdown to Carton is approximately 48.4 mph
Step-by-step explanation:
The time and speed of the motion of Priti are as follows;
The time it takes Priti to drive from Ashdown to Bridgeton, t₁ = 4 hours
The average speed she drove from Ashdown to Bridgeton = 50 mph
The distance she drove from Bridgeton to Carton, d₂ = 30 miles
Her average speed from Bridgeton to Carton = 40 mph
The distance from Ashdown to Bridgeton, d₁ = 50 mph × 4 hours = 200 miles
The time it takes Priti to drive from Bridgeton to Carton, t₂ = 30 miles/(40 mph) = 0.75 hour
Average velocity, [tex]v_{ave}[/tex] = (Total distance traveled, Δd)/(Total time, Δt)
Δd = d₁ + d₂, Δt = t₁ + t₂
Δd = 200 miles + 30 miles = 230 miles
Δt = 4 hours + 0.75 hour = 4.75 hours
∴ The average velocity, [tex]v_{ave}[/tex] = (230 miles)/(4.75 hours)
∴ [tex]v_{ave}[/tex] = (920/19) mph
Her average speed from Ashdown to Carton, rouded to 1 d,p, [tex]v_{ave}[/tex] ≈ 48.4 mph
Please help me!! Thank you.
Answer:
8640
Step-by-step explanation:
According to question,
P= 6000
T=3 year 8 months = 11/3 years
R= 12% per annum
Simple interest is given by :
[tex]SI=\frac{PRT}{100} \\SI=\frac{6000*12}{100} *\frac{11}{3} \\SI=24*11\\SI=2640 Rs[/tex]
Now,
Amount = P+SI
Amount=6000+2640
Amount=8640 Rs
8640 Rs amount which will clear her debt
What is Which expression is equivalent to (8 a minus 3 b + 7) minus (2 a + b minus 4)?
6 a minus 2 b + 11
6 a minus 4 b + 3
6 a minus 2 b + 3
6 a minus 4 b + 11
PLZ PLZ PLZ HELP
Answer:
6 a minus 4 b + 11
Step-by-step explanation:
(8a -3b +7) - (2a + b -4)
= 8a -3b +7 -2a-b +4
= 6a -4b + 11
Evaluate x2+9/x2 for each of the given values.
What is the value of the expression when x = 3?
2
3
10
undefined
What is the value of the expression when x = 1?
2
3
10
undefined
What is the value of the expression when x = 0?
2
3
10
undefined
Answer:
ok so we just substate the number in so
6+9/6
6+1 1/3 = 7 1/3
so for part a the answer is 7.33
for part b
2+9/2
3+4 1/2 =7 1/2
so the answer is 7.5
A:7.33
B:7.5
Hope This Helps!!!
Answer:
A, 2
B, 10
C, undefined
Step-by-step explanation:
Just did the assignment E2021
Which of the following are solutions to the quadratic equation? Check all that
apply.
x2 + 8x + 16 = 7
Answer:
[tex]x=-4+\sqrt{7}[/tex]
[tex]x= -4-\sqrt{7}[/tex]
Step-by-step explanation:
Quadratic
How much almond milk does James use per teaspoon of cashew butter
I need Help please!!!!
if B lies between A and C on segment AC, then AB = 2AC
• Never
•Sometimes
Never, B is the middle colinear point so it cant measure longer than AC which is the full line segment.
help plz I’m stuckkkk
The "is" means "equals"
So we write [tex]72 = 8 \times 9[/tex] which is the same as [tex]72 = 9 \times 8[/tex] since order of multiplication doesn't matter. We could also flip both sides of the equation to get something like [tex]8 \times 9 = 72[/tex], and still mean the same thing.
factor x^2+64
and
factor 16x^2+49
Answer:
Step-by-step explanation:
x^2+64=(x+8i)(x-8i)
16x^2+49=(4x+7i)(4x-7i)
A fruit seller buys lemons at 2 for a dollar and sells them at 5 for three dollars. What is his gain percent?
a)10%
b)15%
c)20%
d)25%
When you find the surface area of a cube, you ________ the length of the cube and
multiply by 6
Answer:
The word for the blank would be "square".
Step-by-step explanation:
Since the area of a face of a cube would be square its side length, the total surface area of a cube would be that times 6.
Hope this helped!
Answer:
square
Step-by-step explanation:
the area of a cube is found by squaring the length
(10 x 10^-3) - (2 x 10^-6)
Simplify the problem and express the answer in scientific notation. Show your work.
Please help!!!
Answer:
9.998 x [tex]10^{-3}[/tex]
Step-by-step explanation:
ANSWER: 9998 x 10^-6
[tex]{{hope it helps}}}[/tex]
The product of b and 5 is greater than or equal to −23.
Answer:
Step-by-step explanation:
Product of b and 5 = b*5 = 5b
Inequality:
5b ≥ - 23
Solution:
Divide both sides by 5
b ≥ -23/5
b ≥ -4.6
Answer:
5b≥ -23
Step-by-step explanation:
product of b and 5 - this means multiply
5b
is greater than or equal - ≥
5b≥ -23
Solving
Divide by 5
5b/5≥ -23/5
b≥ -23/5
Fred drew the pentagon below how should fred fold the pentagon to determine
The question is incomplete. The complete question is :
Fred drew the pentagon below how should Fred fold the pentagon to determine if ∠ C is congruent to ∠ D ?
Solution :
Given Fred drew a pentagon as shown below :
In mathematics, congruent angles are defined as the angles having the same measure or the same angle.
A angles of a regular pentagon always have the same measures and each angle is equal to 108 degrees.
In the context, Fred drew a pentagon and if he folds the pentagon along the vertical axis, the side BC aligns with the side DE and thus it makes the ∠ C congruent to ∠ D.
The members of a class voted to visit the zoo, museum, or science center on their next field trip. If the zoo got 33% of the vote and the science center got 29% of the vote, what percentage of the class voted for the museum?
A. 32%
B. 48%
C. 62%
D. 38%
Answer:
D
Step-by-step explanation:
100-33=67
67-29=38
38%
:3
Can someone quickly respond
which one would be the right answer?
Answer:
I don't know.
Answer:
It's (-3, -2)
I did the math, don't worry
Hey guy, can yall please help me?
Answer:
x is greater than or equal to 3
Step-by-step explanation:
x ≥ 3
x is greater than or equal to 3
so you got the plot right
1. What percentage of the students like football? a. 25% b. 30% c. 35% d. 40% 2. How many students prefer swimming? lime a. 100 b. 120 C. 130 d. 140 3. How many students do not like volleyball the most? a. 140 b. 240 C. 340 d. 440 4. How many students were asked about their favorite sport? a. 400 b. 300 c. 200 d. 100 pakisagot po please asap po
Step-by-step explanation:
the answer is in the above image
please solve this fast.
help please asap just the answers
Answer:
"2"
(9-2-3)/2
4/2
2
Step-by-step explanation: