Answer:
Given :
The length of a rectangle is 4 cm more than its width
The area of the rectangle is 96 cm²
To Find :
Width of the rectangle.
Solution :
Let the length of the rectangle be x cm.
Let the breadth of the rectangle be y cm.
Case 1:
➣
➣ _____(1)
Case 2 :
We have the formula for area of the rectangle as follows :
Where,
l = length → x cm
b = breadth → y cm.
➣
➣
Substitute, x = 96/y in equation 1,
➣
➣
➣
➣
➣
Divide by minus sign,
➣
➣
➣
➣
➣
➣
➣
As per assumption, y = breadth of the rectangle.
•°• y = -12 is not acceptable.
Substitute, y = 8 in equation 1,
➣
➣
➣
➣
Step-by-step explanation:
A soccer team is taking 16 people to a match in 4 cars. The owners of the cars drive their own cars, and each takes 3 other players as passengers. In how many ways can this be done? Could you please help me with a step-by-step explanation?
Answer:
12
Step-by-step explanation:
The numbers of choices for each of B, C, D are independent of the choices the predecessors have made. It is clear where the car's owners will sit, so all we have to care about is where we put the other people. There are 16−4=12 places left in the cars, so there are 12!
there are 37,747,920,000 ways the soccer team can be taken to the match.
Let's break down the problem step by step to calculate the number of ways the soccer team can be taken to the match:
Step 1: Select the drivers for the cars.
There are 4 cars, and the owners of the cars will be the drivers. We need to choose 4 drivers from the 16 people, and this can be done using combinations. The number of ways to choose 4 drivers out of 16 is denoted as C(16, 4), which can be calculated as follows:
C(16, 4) = 16! / (4! * (16-4)!)
C(16, 4) = 16! / (4! * 12!)
C(16, 4) = (16 * 15 * 14 * 13) / (4 * 3 * 2 * 1)
C(16, 4) = 1820
There are 1820 ways to select 4 drivers for the cars.
Step 2: Assign passengers to the cars.
After selecting the drivers, each driver will take 3 other players as passengers. Since there are 3 passengers for each driver, we can calculate the number of ways to assign passengers to the cars using combinations again.
Number of ways to assign passengers to one car = C(12, 3) = 12! / (3! * (12-3)!) = 12! / (3! * 9!) = 220.
Since there are 4 cars, the total number of ways to assign passengers to the cars is 220^4 = 20,736,000.
Step 3: Combine the driver selection and passenger assignment.
To find the total number of ways the soccer team can be taken to the match, we need to multiply the number of ways to select the drivers (1820) by the number of ways to assign passengers (20,736,000):
Total number of ways = 1820 * 20,736,000 = 37,747,920,000.
So, there are 37,747,920,000 ways the soccer team can be taken to the match.
Learn more about combination here
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#SPJ2
What is half of 1 ⅔ cups
Answer:
0.833
Step-by-step explanation:
Because 1 and 2/3=1.666
0.833 x 2=1.666 so that's how it's your answer
Have a great day :}
48 is 80% of what amount?
Answer:
The answer is 60 just divide 80/48.
HELP PLEASE! Find the area of the figure.
Answer: 36 square units.
Step-by-step explanation:
First, you can separate the figure into a 4x6 rectangle and a 6x4 isosceles triangle. You can find the area of the rectangle by using the rectangle area formula, A = l x w .
4 x 6 = 24 units
Then, to find the area of the triangle, you can use the triangle area formula, A = [tex]\frac{1}{2}[/tex] b x h .
1/2 x 4 x 6 = 12 units
Finally, you can simply add 24 + 12 to get the total area of 36 units. Since the area is the measure found, you would use the square symbol (²) at the end of the units:
36 units²
I hope this helps!
f(131) = -131 - 5
f(131) =
Answer:
f ( 131 ) = - 136
Step-by-step explanation:
1- Factor out the negative sign
2- Calculate
help me with geometry please
Answer:
30+25=55°
180-55=125°
x=125°
180-125=55°
y=55°
Answer:
y = 55
solution:
180-30-25=125
180-125=55
What graph represents the function f(x)=-x^2+5
Answer:
The first graph
Step-by-step explanation:
I also attached a graph
Hope this helps!
I need help stuck on the last question
Answer:
5x + 4 = 14
Step-by-step explanation:
expand the brackets: 2 ((5x + 4)/2) = 5x + 4
and 7(2) = 7 x 2 = 14
⇒ 5x + 4 = 14
Solve for X round to the nearest tenth if necessary
Answer:
the answer is 6.9
the answer is.... 6.9
Step-by-step explanation:
to get 6.9 you have to divide 69 by 10
Sine rule
[tex]\tt \dfrac{US}{sin\:T}=\dfrac{ST}{sin\:U}[/tex]
U = 180 - (69+90)=21°
Input the value:
[tex]\tt \dfrac{10}{sin\:90}=\dfrac{X}{sin\:21}\\\\X=35.8^o[/tex]
Ferb wanted to measure the height of a tree. They walk exactly 37 feet from the base of the tree and look
up. The angle of elevation from the ground to the top of the tree is 46º. To the nearest whole number, how
tall is the tree?
Evaluate Functions From a Graph
Answer:
f(-2) = -2
Step-by-step explanation:
Start on the graph at the center, (0,0), right where the x- and y-axis cross.
The numbers on the x-axis are the x's (look left or right) The problem says to find f(-2). This means let x = -2. So skip over to the left to where x = -2, then go down until you run into the curve. You have to look at the y-axis to find the numerical answer.
Here are some other ones on this graph, to see if you can see how this works. **These two -2's are totally different. The answer -2 is not because the problem had a -2 in it.**
other examples on this graph:
f(-1) = -3
f(0) = -2
f(1) = 1
f(-3) = 1
f(-4) = 6
f(2) = 6
Hope this helps!
Obviously, different graphs will give different answers.
Reggie left a 15% tip for a meal that cost $51. What was the amount of the tip? $3. 40 $6. 60 $7. 65 $8. 15.
Answer:
7.65
Step-by-step explanation:
15% of 51$ is 7.65 for the meal tip!
WILL GIVE BRAINLY 15 points
Sally has a game piece shaped like a square pyramid. The dimensions are shown in the net.
What is the surface area of Sally's game piece?
Answer:
56
Step-by-step explanation:
Finn bought a 2-liter bottle of soda. If he poured 4 cups of soda filled with 350 milliliters each, how many milliliters of soda are left in the bottle?
Answer: 1000 ml to a liter so that gives 2000 350 ml x 4 = 1400ml
2000 -1400= 600
600 ml left in the soda bottle
Step-by-step explanation:
There are 3 cats in a room and no other creatures. Each cat has 2 ears, 4 paws, and 1 tail.
Complete this statement:
The ratio of paws and tails to ears is
to ears is?
Answer:
The ratio of paws and tails to ears is 5:2
Step-by-step explanation:
First add the amount of paws as tails per cat together to get 5
Then find the amount of ears per cat to get 2.
For every cat, there is a total of 4 paws and 1 tail, to every two cat ears.
therefore, 5:2
5:2
Step-by-step explanation:
what is the gift for 24+3d?
The gift would be $27 dollar
The number of buttons a machine produces varies directly as the time it is
running. If the machine produces 688 buttons in 12 min, how many would it
produce in 15 min?
Answer: 860 buttons
Step-by-step explanation: 688/12 = 57.3333333...
57.3333... multiplied by 15 is equal to (860 buttons)
what is the volume of his figure
Answer:
216 cm3
Step-by-step explanation:
Carbon-14 has a half-life of approximately 5,730 years. This exponential decay can be modeled with the function N(t) = N0.
If an organism had 200 atoms of carbon-14 at death, how many atoms will be present after 14,325 years? Round the answer to the nearest hundredth.
[tex]\textit{Amount for Exponential Decay using Half-Life} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &200\\ t=\textit{elapsed time}\dotfill &14325\\ h=\textit{half-life}\dotfill &5730 \end{cases} \\\\\\ A=200\left( \frac{1}{2} \right)^{\frac{14325}{5730}}\implies A=200\left( \frac{1}{2} \right)^{\frac{5}{2}}\implies A\approx 35.36[/tex]
Rational Functions
In 1918, women were allowed to join the Marine Corps to handle the clerical duties, while the men fought in World War I. Prior to World War II, the United States Marine Corps Women’s Reserve was formed. Eventually Congress passed the Women’s Armed Services Integration Act. Women could then join the regular component of the Marine Corps, but the number of women could not exceed 2% of the total number of Marines.
By 1965, during the Vietnam War, there were 2700 women in the Marines. Women could participate in a wider variety of duties including radio operator, parachute rigger, quartermaster, auto mechanic, telegraph operator, and aerial gunnery instructor. But it was not until 1967 that a law was passed removing the restriction on the number of women in the Marines. In addition, women could be promoted to the rank of colonel. Within the next ten years, women would be able to work in all aspects of the Marine Corps except the infantry, artillery, armor, and the pilot/air crew.
In 2008, there were 9782 women in the Marine Corps on active duty, or about 5% of the Marines on active duty. Currently, women now receive combat training and are accepted into special skill schools that were traditionally only available to the male Marines. Also, women are working in non-traditional jobs and in certain other areas that were previously restricted. Women in the Marine Corps serve proudly and honorably next to their male counterparts in any area the United States Marine Corps requires. The number of women in the United States Marine Corps can be modeled by:
W = 414x^2 - 3341x + 9403 / 0.04x^2 - 0.32x + 1
where x is the number of years since 2000
Graph the model to find the number of women in the Marine Corps between 2000 and 2009.
Use your graph to estimate the number of female Marines in 2006.
Identify the x-intercepts of this function, if any.
Identify the vertical and horizontal asymptotes of the graph of this function, if any.
Use the function to estimate the number of women in the Marine Corps in 2015.
Give two reasons why the number of women in the Marine Corps could exceed your answer from Exercise 5.
Answer:
see attached for a graph2006: 8,194no x-interceptshorizontal asymptote: y = 10,350; no vertical asymptotes2015: 10,084no information on Exercise 5Step-by-step explanation:
a)The graph is attached
__
b)The value for 2006 is shown in the table for x=6: 8,194.
__
c)The graph does not cross y=0. It has a minimum of about 7392.
__
d)The denominator is never zero, so there are no vertical asymptotes. The horizontal asymptote is the ratio of the x^2 coefficients, 414/0.04 = 10,350.
__
e)The value of the function for x=15 is 10,084. The number of women in the Marines in 2015 is modeled as 10,084.
__
f)No information is provided regarding Exercise 5 or its answer.
I need help in this question!!
Answer:
1st, 4th , 5th
Step-by-step explanation:
Multiplying any number by a proper fraction gives a value that is less than the original number.
From the list this applies to
1st , 4th and 5th options
A small restaurant named the Pizza Palace had a food critic try their pizza and wrote them a very, very bad review. The function C=500 x 2/3^m represents the number of customers they have based on the m months since the review came out. Which statement below best describes what the equation tells us. How many customers would the restaurant expect to still have 2 months after the review comes out?
The statement which describes what the equation tells is; The number of customers they have prior/before the review is; 500 customers.
The number of customers they have 2 months after the review is; 222.22 customers.Exponential functionsAccording to the given function;
The intercept of the function represents the number of customers the restaurant has prior to the review.This means the number of customers they have prior/before the review (at m=0) is; 500 customers.
Additionally, after 2 months of the review;
C = 500 × (2/3)^2C = 500 × 0.44C = 222.22 customers
Read more on exponential functions;
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Pls help I need help
Answer:
SO THIS IS PRODUCT LAW, IF BASES ARE SAME, WE JUST ADD THE EXPONENTS.
t^x×t²=t¹⁰
t^(2+x)=t¹⁰
2+x=10
x=10-2
x=8
verifying the answer
x=8
t⁸×t²=t¹⁰
8+2=10
10=10
hence correct.
hope it helped.
please pick me brainliest
Please help me I’m giving 20 points
Answer:
The answer is B
Step-by-step explanation:
Find the axis of symmetry
Use the formula -b/2a
2x^2-8x+6
- (-8)/2(2)
8/4
2
The axis of symmetry is at x=2, which means that the vertex is at x=2
Substituting x=2 into the quadratic:
2(2)^2-8(2)+6
2*4-16+6
8-16+6
-2
The vertex is at (2,-2)
The graph where this applies is B.
Therefore, the answer is B.
May you please help me
I will give you 50 points plus an brainliest
God bless you
Answer:
140
Step-by-step explanation:
the triangle is 180 degrees
Answer:
Below.
Step-by-step explanation:
Below
The answer is A Rectangle. Or (Wrecked angle) Shortened up.
1-119.
2:135
3:45
4:22
5:60
6:A
7 10
8:143
9:62
On a balance scale, five spools and three thimble balance sixteen buttons. Also, three spools balance one thimble and four buttons. How many buttons will balance one thimble?
Answer:
2 buttons
Step-by-step explanation:
Let s = spool, t = thimble, b = button
5s + 3t = 16b
3s = 1t + 4b
5s + 3t = 16b
3s - t = 4b
-15s - 9t = -48b
(+) 15s - 5t = 20b
------------------------------
-14t = -28b
t = 2b
Answer: 2 buttons
If you place a 28-foot ladder against the top of a 22-foot building, how many feet will the bottom of the ladder be from the bottom of the building? Round to the nearest tenth of a foot.
Step-by-step explanation:
Pythagoras
c² = a² + b²
with c being the Hypotenuse (the side opposite of the right angle), which is in our case the ladder.
28² = 22² + b²
784 = 484 + b²
b² = 784 - 484 = 300
b (the distance of the ladder from the wall) = 17.32050808... ft ≈ 17.3 ft
1. What is the slope of the line that passes through the points (-2, -3), and (5, 4)?
-1
3
1
-3
60 points if you give me the answer with an explanation, please!
Hi!
I can help you with joy!
We are given 2 points: (-2, 3) and (5, 4), so we can easily calculate the slope of this line using this formula:
[tex]\displaystyle\frac{y2-y1}{x2-x1}[/tex]
[tex]\displaystyle\frac{4-(-3)}{5-(-2)}[/tex]
[tex]\displaystyle\frac{4+3}{5+2}[/tex]
[tex]\displaystyle\frac{7}{7}[/tex]
[tex]1[/tex] (Answer)
I hope it helps!
Ask if you have any queries.
~Misty~
[tex]\bf{GracefulTeen[/tex]
Enjoy your day!
The price of a cup of coffee was $2.20 yesterday. Today, the price rose to $2.55 Find the percentage increase. Round your answer to the nearest tenth of a percent.
Answer:
%15.9 increase
Step-by-step explanation:
the sum of all of the sides of a stop sign is 96 inches a stop sign is an octagon with all side equal. what is the area of the stop sign?
Answer:
44498.78 in²
Step-by-step explanation:
A=2(1+2)a2=2·(1+2)·962≈44498.78 in²