Answer:
6/25
Step-by-step explanation:
1. \(2\frac{2}{5} = \frac{12}{5}\)
2. \(\frac{12}{5}\) ÷ \(10\)
3. \(\frac{12}{5}(\frac{1}{10} )\)
4. \(\frac{12}{50} = \frac{6}{25}\)
Find the area of the polygon.
Answer:
Step-by-step explanation:
A = (7 + 4)(24) ÷ 2 = 132 units²
3 + x + 1 = 2
Thank you :)
Answer:
x = -2
Step-by-step explanation:
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6. The California Tiger Salamander is an endangered species, which decreases at the rate of 4.6% per year in a habitat that currently has 60 of them. Write an exponential function and find how many California Tiger Salamanders will be left after 4 years.
7. Factor and solve the following equation 2x2 + x - 21 = 0.
8. Alvin throws the football to a receiver who jumps up to catch the ball. The height of the ball over time can be represented by the quadratic equation -4.9t2 + 7.5t + 1.8 = 2.1 . This equation is based on the acceleration of gravity -4.9 m/s2, the velocity of his pass is 7.5 m/s and releases the football at a height of 1.8 meters, and the height where the receiver catches the ball of 2.1 meters. Put the equation in standard form and then solve by using the quadratic equation.
9. Examine the graph of f(x) and the table that contains values of g(x). Which function has a greater rate of change over the interval [0,2]? Explain your answer.
\(\rule{2000pt}{1000000pt}\)
The diagonals of the parallelogram are equal to 17 and 19, and the sides are proportional to each other as 2:3, Find sides.
Answer:
10 and 15 unitsStep-by-step explanation:
Given:
d₁ = 17d₂ = 19a = 2xb = 3xUse the relationship between diagonals and sides of the parallelogram:
d₁² + d₂² = 2(a² + b²)Substitute and solve for x:
17² + 19² = 2((2x)² + (3x)²)650 = 2(4x² + 9x²)325 = 13x²x² = 325/13x² = 25x = 5Find the sides:
a = 2x = 2*5 = 10b = 3x = 3*5 = 15Answering questions for you to help me please
Answer:
3) 49*x^2*y^2
4) x
5) 1
6) 8
Step-by-step explanation:
3). ( 7xy)^2
=. 7^2 * x^2 * y^2
= 49*x^2*y^2
4). x^3 / x^2
= x
5). 7^0
=. 1
6). 8x^0
= 8
suface area of cuboid 9 5 4
The cuboid in question has a surface area of 202 square units.
We must sum together the areas of all six faces to determine a cuboid's surface area.
The dimensions of the given cuboid are:
length (l) = 9 units
width (w) = 5 units
height (h) = 4 units
The area of each face is given by:
Top and bottom faces:\(lw = 9 * 5 = 45\) square units each
Front and back faces: \(lh = 9 *4 = 36\) square units each
Left and right faces: \(wh = 5 * 4 = 20\) square units each
Therefore, the total surface area of the cuboid is:
\(2(lw + lh + wh) = 2(45 + 36 + 20)\\ = 2(101) \\= 202 \ square \ units\)
Hence, the surface area of the given cuboid is 202 square units.
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if a coin is flipped 35 times and lands on heads 21 times what is the relative frequency of Landing on heads
Work Shown:
21/35 = (7*3)/(7*5) = 3/5
There are six pizzas there are 36 players on the team. If each member has one slice and each pizza has eight slices how much pizza in fraction form will be left over.
There will be 12 slices of pizza left over, which can be expressed as 3/2 or 1 1/2 slices in fraction form.
To find out how much pizza will be left over, we need to calculate the total number of slices available and subtract the number of slices consumed by the players.
Given that there are six pizzas and each pizza has eight slices, the total number of slices available is 6 pizzas * 8 slices/pizza = 48 slices.
Since there are 36 players on the team, and each player has one slice, the total number of slices consumed is 36 slices.
To determine the remaining slices, we subtract the consumed slices from the total available slices: 48 slices - 36 slices = 12 slices.
Therefore, there will be 12 slices of pizza left over.
To express this as a fraction, we can write it as 12/1, which simplifies to 12. This means there will be 12 whole slices of pizza left over.
If you would like to express it as a fraction in its simplest form, you can write it as 12/8. By dividing both the numerator and denominator by their greatest common divisor, which is 4, we get 3/2. So, in fraction form, there will be 3/2 or 1 1/2 slices of pizza left over.
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I WILL MAKE BRAINLYIEST 50+ POINTS
YOU HAVE TO SHOW THE STEPS
For the equation 50t + 10 = 160, what are the steps to solve for t?
>State the steps that you have to use
>Solve the equation
Answer:
3t
Step-by-step explanation:
1 you would change +10 to -10 and subtract 10 from 160.
2. you would end up with 50t = 150 after doing that
3. divide 50 by 50 to isolate the t. now t is by itself since 50 divided by 50 is 1.
4. divide 150 by 50 to get 3. the t is still there so it's t=3 or just 3t
lmk if i should explain this better or if you still need assistance
Which table or graph shows the value of y going down as the value of x goes
up?
Answer:
A
Step-by-step explanation:
That's your answer...
dang u fail gonna fail i feel baaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaad.......
just look at the one that has the letter x going up it is c or d
Astronomers believe that the radius of a variable star increases and decreases with the brightness of the star. Suppose a variable star has an average radius of 20 million miles and changes by a maximum of 1.6 million miles from this average during a single pulsation, and that the time between periods of maximum brightness is 5.2 days. Find an equation that describes the radius of this star as a function of time. (Let R be the radius in millions of miles and let t be the time in days. Assume that when t = 0 the radius is 20 million miles and increasing.) R(t) =
Let R be the radius in millions of miles and let t be the time in days. Assume that when t = 0 the radius is 20 million miles and increasing then R(t) = 20 + 1.6sin(2πt/5.2).
The equation for a sine wave is y = A sin (Bx + C) where A is the amplitude, B is the frequency and C is the phase shift.
In this case, the amplitude is 1.6.
Since the radius changes by a maximum of 1.6 million miles.
The frequency is 2π/5.2 (one full cycle of the sine wave in 5.2 days)
The phase shift is 0, since when t = 0 the radius is increasing.
The equation then becomes R(t) = 20 + 1.6sin(2πt/5.2)
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Mathematical statements into logical statements with nested quantifiers. About Translate each of the following English statements into logical expressions. The domain is the set of all real numbers.
(a) There are two numbers whose ratio is less than 1.
(b) The reciprocal of every positive number is also positive.
(c) There are two numbers whose sum is equal to their product.
(d) The ratio of every two positive numbers is also positive.
(e) The reciprocal of every positive number less than one is greater than one.
(f) There is no smallest number.
Answer:
Answer is given below under explanation
Step-by-step explanation:
We are told that the domain is a set of real numbers. Let's depict by a & b.
We will use the following symbols;
∀ means for all
Ǝ there exists
∧ means logical conjuction
Thus;
A) Ǝ a,b : ( a/b < 1, b/a < 1 )
B) ∀ a : ( a > 0 = 1/a > 0 )
C) Ǝ a,b : (a + b = ab)
D) ∀ a,b : [ ( a > 0 ) ∧ ( b > 0 ) = (( a/b > 0 ) ∧ ( b/a > 0 ))]
E) ∀ b : [( b > 0 ) ∧ ( b < 1) = ( 1/b > 1 )]
F) n ( ( Ǝ x ∀ b ( a < b ) )
Anna is planning a birthday party for her brother Juan. She is planning on serving hamburgers to her guests.
Hamburger patties come in packs of 12 and hamburger buns in packs of 8.
Anna wants the same number of hamburger patties as hamburger buns.
What is the smallest total of hamburger patties that Anna can buy?
(LCM)
A map is drawn to scale so that a length of 1 centimeter on the map represents an actual distance of 3
kilometers. If two towns are 20 centimeters apart on the map, what is the actual distance between the two
towns?
Answer:
60 kilometers
Step-by-step explanation:
1 centimeter = 3 kilometers
20 × 3 = 60
Which sentence uses commas correctly?
A) Norah knows how to play the guitar piano and , drums . B) Janet Rick Brian and Lizzy went to the basketball game together .
C) We can ride our bikes , watch a movie , or go swimming at the lake .
D) Our teacher wants us to make a list of topics , brainstorm ideas , and choose one subject .
Answer:
C)
Step-by-step explanation:
It seperates and makes most sense
What's the y-intercept of the function y=-2(2)* + 2?
Answer:
-2 is the y-intercept of this function.
Step-by-step explanation:
please help me with number eight it says find the slope of a mountain that descends100 meters for every horizontal distance of 1,000 meters
Given:
The mountain descends = 100 meters. that means it is getting vertically down.
So, it would be -100 meters.
Every horizontal distance is 1000 meters.
The slope is defined as,
\(\begin{gathered} \text{Slope}=\frac{Change\text{ in vertical distance}}{\text{Change in horizontal distance}} \\ =\frac{-100}{1000} \\ =-\frac{1}{10} \end{gathered}\)Answer: the slope is -1/10 ( or -0.1 ).
I'm needing help with question 6 i thought I had it but I'm still confused.
Let x and y be the number of months and the total balance of the account, respectively. Therefore, when x=0, y=$500 (starting amount) and, after 1 month, $75 are added to that amount, after 2 months, 2*$75, and so on.
Thus, the equation is
\(y=500+75x\)Where 75 is the slope of the line (m=75), and the y-intercept is equal to 500 (b=500).
2 years is equal to 2*12=24 months; therefore,
\(\Rightarrow y=500+75(24)=500+1800=2300\)After two years, the total balance is $2300.
the difference in elevation of a helicopter and a submarine is 18 1/2 meters elevation of a submarine is -7 3/4 meters what is the elevation of the helicopter
Answer
The elevation of the helicopter = +10.75 meters
Explanation
Before starting, note that
18 1/2 = 18.50
-7 3/4 = -7.75
And the ground has an elevation of 0, spots above the ground have positive elevations and spots below the ground have negative elevation.
Let the elevation of the helicopter be x.
And the elevation of the submarine be y.
The difference in elevation of a helicopter and a submarine is 18.50 meter
x - y = 18.50
Elevation of a submarine is -7.75 meters (there's negative sign in front because a submarine is under the sea level)
So, y = -7.75
Recall that
x - y = 18.50
x - (-7.75) = 18.50
x + 7.75 = 18.50
x = 18.50 - 7.75
x = +10.75 m
The elevation of the helicopter = +10.75 meters
Hope this Helps!!!
Help with the following equation 8x²-6x-5=x
Answer:
\(8 {x}^{2} - 6x - 5 = x\)
\(8 {x}^{2} - 7x - 5 = 0\)
x = (7 + √((-7)^2 - 4(8)(-5)))/(2×8)
= (7 + √(49 + 160))/16
= (7 + √209)/16
= -.4661, 1.3411 (to 4 decimal places)
find the pattern 1,3,1,9,27,1
Answer:
add 2 subtract 2 add 8 multiply by 3 divide by 27
What is the volume of this pyramid?
Enter your answer in the box.
Answer:
9576
Step-by-step explanation:
Area of the triangle × height
(1/2×28×19)×36
What is the area of the square that measures 3.1 m on each side
The area of the square with a side length of 3.1 meters is 9.61 square meters.
To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.
Area of a square = side length × side length
Substituting the given side length into the formula:
Area = 3.1 m × 3.1 m
To perform the calculation:
Area = 9.61 m²
It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.
Remember, to find the area of any square, you simply need to multiply the length of one side by itself.
The area of the square with a side length of 3.1 meters is 9.61 square meters.
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the passing of heart through a material is called _____
Answer:
hardening of the arteries.
You conduct a survey that asks 500 visitors at an amusement park park whether they rode the new attraction. Three hundred ninety nine of the visitors rode the new attraction. Compare the number of teenagers who ride the new attraction with the number of adults who rode the new attraction
Answer:
100 more teenagers rode the new attraction.
Step-by-step explanation:
Please name me brainiest and verify this answer please. and say thank you
what is the relationship between integers and whole numbers
Hey there! I'm happy to help!
A whole number is a type of integer. Integers are numbers without fractions or decimals. They are can be positive or negative. Whole numbers are just the positive integers.
I hope that this helps! Have a wonderful day! :D
Answer:
Whole numbers are natural numbers, and integers are like whole numbers but with negative, and positive numbers.
Step-by-step explanation
Example:
Whole number= 0, 1, 2, 3, 4,...
Integer= -4, -3, -2, -1, 0, 1, 2, 3, 4...
77% of U.S. adults think that political correctness is a problem in America today. You randomly select six U.S. adults and ask them whether they think that political correctness is a problem in America today. The random variable represents the number of U.S. adults who think that political correctness is a problem in America today. Answer the questions below. A) Find the mean of the binomial distribution. μ = ? (Round to the nearest tenth as needed.) B) Find the variance of the binomial distribution. σ2 = ? (Round to the nearest tenth as needed.) C) Find the standard deviation of the binomial distribution. σ = ? (Round to the nearest tenth as needed.) D) Interpret the results in the context of the real-life situation. Most samples of 6 adults would differ from the mean by no more than _____? .
Most samples of 6 adults would differ from mean by no more than 1.0
What role does math have in politics?In our culture, computer equations are also employed to define the systems that truly influence the social or political reality we live in. This kind of prescriptive usage of statistical equations is described.
Political mathematics: What is it?(a) The creation of approaches and procedures utilizing statistical as well as other mathematical treatments for the quantitative analysis of data in order to investigate political structures and behavior. Questions pertaining to probability models, probability theory, measurement, and data are included.
Here n=6
p=0.77
q=1-p=1-0.77=0.23
mean=np=6*0.77=4.62=4.6
variance=npq=6*0.77*0.23=1.0626=1.1
standard deviation=sqrt(variance)=sqrt(1.0626)= 1.030825=1.0
M = 4.6
o2 = 1.1
0= 1.0
Most samples of 6 adults would differ from mean by no more than 1.0
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If you sleep 30% of the day. how many hours did you sleep?
answer fast please
Answer:
7.2 hours
Step-by-step explanation:
24 · 0.3 = 7.2
GEOMETRY find the angle of PRQ NO LINKS!!
Answer:
55
Step-by-step explanation:
Remark
This is a really good question to know the answer to. <PRQ = 1/2 POQ (the central angle. )
The central angle for this question is 110o. So any angle that has its vertex on the circumference is 1/2 110 = 55. The central angle and the angle on the circumference must be related as they are as this question is. (Both are on the same side of PQ which is not drawn but you can draw it).
A person makes an overseas phone call. The telephone company charges 65 cents for the first minute and then 75 cents for each minute thereafter. Because it's an overseas phone call, there is also a 55 cent service charge. If the phone call cost $ 19.20 , how many minutes did this person talk?
Answer:
25 minutes.
Step-by-step explanation:
A person makes an overseas call.
The telephone company charges 65 cents for the first minute.
Then 75 cents for each minute thereafter.
There is a 55 cent service charge.
1 dollar = 100 cents
65 cents = $0.65
75 cents = $0.75
55 cents = $0.55
For a phone call that cost $19.20 ;
Subtracting the service charge and the first minute charge from overall cost we get;
$19.20 - $0.55 - $0.65 = $18
For every additional minute there is a charge of $0.75
How many minutes make $18 ;
Cross multiplying this gives;
\(\frac{18}{0.75} * 1\) = 24 minutes.
So the call lasted 24 minutes + 1 minute = 25 minutes.