Answer:
6 units^2
Step-by-step explanation:
[tex]a^{2} +b^{2} =c^{2}[/tex]
[tex]3^{2} +b^{2} =5^{2}[/tex]
[tex]9+b^{2} =25[/tex]
[tex]b^{2}=16[/tex]
[tex]b=4[/tex]
Area of the triangle = Base * Height * 1/2 = 3 * 4 * 1/2 = 6 units^2
what is the equation of the following graph in vertex form
Answer:
y=(x-4)²-4
Step-by-step explanation:
Our x-intercepts are (2,0) and (6,0) so we can state them as expressions and expand:
(x-2)(x-6)=0 [Remember that (2,0) is the solution to x-2=0 just as (6,0) is the solution to x-6=0]
x²-8x+12=0 (Standard Form)
x²-8x+12+4=0+4 (Completing the square)
x²-8x+16=4
(x-4)²=4
(x-4)²-4=0
Therefore, our equation for the graph in vertex form is y=(x-4)²-4
Which of the following is a degenerate circle?
O A. r?+ y2 = 5
O B. x+y=7
O c. x² + y² = -2
O d. (x - 5)²+(y - 3)2 = 0
the Equation A. r²+ y² = 5 degenerate the circle.
What are the properties of the circle?The circumference, which is the distance around the object, the diameter, which is the length of a circle measured from one end to the other and passing through its center, and the radius, which is equal to half of the diameter, are the three key characteristics.
The general coordinate equation of a circle is:
(x-h)² + (y - k)² = r²
Where,
(h, k) is the center of a circle,
"r" is the radius of the circle.
Only option A, r²+ y² = 5
Satisfies the general equation of the line,
thus, From option A the coordinates of the circle on the plane r-y
is (0, 0) and the radius of the circle will be √5.
From option B, x+y=7
It is the equation of the line.
From option C, x² + y² = -2
The sum of two squares can not be negative so it is not a real equation
From equation D, (x - 5)²+(y - 3)² = 0
The radius of a circle can not be zero otherwise it will become a point.
therefore, the Equation A. r²+ y² = 5 degenerate the circle.
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Complete question:
Which of the following is a degenerate circle?
O A. r²+ y² = 5
O B. x+y=7
O c. x² + y² = -2
O d. (x - 5)²+(y - 3)² = 0
Find the area of the figure shown below and choose the appropriate result.
Answer:
The answer is 39 cm squared
A florist sells flower bouquets. The table shows the prices for various amounts and kinds of bouquets.
Flower Bouquets
Tole Price
daisies
$23.90
tulips
$60.80
roses
?
A customer buys 3 bouquets of tulips and 2 bouquets of roses for $147.70. What is the price of a bouquet of roses?
$28.25
$29.54
$55.93
S86.90
Answer:
$28.25
Step-by-step explanation:
$28.25
Simplify 1/4^-2 x 1/4^-7
Please answer plzzzzzzzzzzz
Answer:
543
Step-by-step explanation:
A culture of bacteria has an initial population of 470 bacteria and doubles every 8 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P t =P 0 ⋅2 d t , where P_tP t is the population after t hours, P_0P 0 is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 7 hours, to the nearest whole number?
Answer:
Step-by-step explanation:
The population of bacteria in the culture after 7 hours is approximately 883.
What is an exponential function?Several real-world phenomena, including population expansion, radioactive decay, compound interest, and the spread of diseases, are modeled using exponential functions. In calculus, where they are used to define the exponential and logarithmic functions—essential ideas in calculus and other fields of mathematics—they also play a significant role.
Using the formula [tex]P_t = P_0 \times 2^{\frac{t}{d}}[/tex], where P_t is the population after t hours, P₀ is the initial population, t is the time in hours and d is the doubling time, we can find the population of bacteria in the culture after 7 hours as follows:
Since the initial population is 470, we have P₀ = 470.
The doubling time is 8 hours, so we have d = 8.
Substituting these values into the formula, we get:
[tex]P_7 = 470 \times 2^{\frac{7}{8}}[/tex]
P₇≈ 882.77
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50 POIINTS!!!
A coin is flipped 20 times. The results are 12 heads and 8 tails. Determine the theoretical probability of getting heads.
60%
40%
20%
50%
SOMEONE PLEASE PUT STEPS TO SOLUTION.
Answer:
What we have here is experimental probability: 12 heads out of 20 tosses. The fraction 12/20 reduces to 6/10, or 0.60, which corresponds to 60%.
ZABD and ZDBC are supplementary angles,
What is the measure of x?
X = [?]°
7D
110%
AK
B
>C
Angles are not drawn to scale.
Finter
Answer:
x=70°
Step-by-step explanation:
x+110=180 linear pair
x=180-110=70
HELPPP!!!! Due today
The volume of a prism is 18 cubic inches. What is the
volume of a pyramid with the same base and height?
Answer:
1944
Step-by-step explanation:
I used the pyramid formula and used 18 as the bases and heights since it’s a perfect triangular pyramid.
Mark and Doug work at the mall. Last week,
Mark worked five less than three times the
number of hours that Doug worked. If their total
number of combined hours was 13 more hours
than Mark worked, how many hours did they
work in total?
If Mark and Doug work at the mall and their total number of combined hours was 13 more hours than Mark worked, The number of hours they work in total is 47 hours.
How to find the hours worked?Let x represent the time Doug worked
let 3x - 5 represent the number of hours Mark worked
Hence,
x + 3x - 5 = 3x -5 +13
4x-5=3x-5+13
4x-5=3x+8
Add 5 to both side
4x-5+5 =3x+8+5
simplify
4x =3x +13
subtract 3x from both side
4x -3x = 3x + 13 =3x
1x = 13
x =13/1
x =13 (Doug)
Hence,
3x -5 where x = 13
3 (13) -5
= 39 -5
= 34 hours (Mark)
Total hours
(Doug + Mark)
= 13 hours + 34 hours
= 47 hours
Therefore the total hours is 47 hours.
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Solve each of these equations. Explain or show your reasoning.
2(x+5)=3x+1
3y−4=6−2y
3(n+2)=9(6−n)
The first sequence rule is multiply by 2 starting from 7. The second sequence rule is add 2 starting from 8. What is the first number that appears in both sequences?
Question 3 options:
10
14
18
28
The first and the second sequence are arithmetic and geometric sequence, respectively
The first number in both sequences is 14
How to determine the first number?From the question, we have the following rules
Rule 1Start = 7
Multiply by 2
Rule 2Start = 8
Add = 2
So, the numbers in the sequence are:
Rule 1: 7, 14, 28, 56......
Rule 2: 8, 10, 12, 14, .....
By comparing the numbers in the sequence, we can see that the first number in both sequences is 14
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56,316 divided by 6 need step by step instructions
Answer:
9,386
Step-by-step explanation:
56,316 ÷ 6 = 9,386
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
Find the surface area of the cylinder and round to the nearest tenth.
A line is perpendicular to y = - x - 2 and intersects the point (-5, 10)
Answer:
y = x + 15
Step-by-step explanation:
If two lines are perpendicular to each other, they have opposite slopes.
The first line is y = - x - 2. Its slope is -1. A line perpendicular to this will have a slope of 1.
Plug this value (1) into your standard point-slope equation of y = mx + b.
y = 1x + b or y = x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (-5, 10). Plug in the x and y values into the x and y of the standard equation.
10 = (-5) + b
Simplify.
10 = -5 + b
Now, add 5 to both sides to isolate b.
15 = b
Plug this into your standard equation.
y = x + 15
This equation is perpendicular to your given equation (y = -x - 2) and contains point (-5, 10)
Hope this helps!
A rectangle has side lengths of 3 inches and square root 5 inches. Which statement
must be true
about the area of the rectangle?
Answer:
B
Step-by-step explanation:
Firstly, we will take a look at the equation and the options listed to choose from.
Secondly, we notice these options are reffering to rational and irrational numbers.
A rational number is a number that can be expressed in a ratio of 2 integers. (Form example whole numbers such as 1 (1/1), 2(2/1) 5(5/1, 10/2) and even decimals like 3.75 (375/100) or (750/200) etc.
As for irrational numbers, these can NOT be simplified between a ratio 2 integers. For example the question states 3 multiplied by the square root of 5. The square root of 5 is 2.2360679... multiplied by 3 we get 6.7082..... Numbers such as those can go on for infinity and can not be simplified as integers therefore they are irrational numbers.
.............................................................................................................
With this knowledge, it means then options A and C are out. So lets take a look at B and D which statement is true and which is false?
With this knowledge, it means then options A and C are out. So lets take a look at B and D which statement is true and which is false?B is true because we already know that the product of the numbers was 6.708.... irrational number based on our workings above.
With this knowledge, it means then options A and C are out. So lets take a look at B and D which statement is true and which is false?B is true because we already know that the product of the numbers was 6.708.... irrational number based on our workings above.D is false because if the product is 6.708 it can not be the square root of 15 (3.872)
B. It is an irrational number because the product of the side lengths is [tex]3\sqrt{5}[/tex], an irrational number.
According to this question, we know the lengths of the two sides of the rectangle, the length of a side is an positive integer and the length of the other one is an positive irrational number. The area of the rectangle is the product of the two sides lengths mentioned above.
By algebra, we know that the product between an integer and an irrational number leads to other irrational number. Therefore, the area of the rectangle is represented by an irrational number.
[tex]A = (3)\cdot \sqrt{5}[/tex]
[tex]A = 3\sqrt{5}[/tex]
Hence, the right answer is B.
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How do I Solve 6=18x
Answer:
1/3
Step-by-step explanation:
6=18x
for x
x=6/18
x=1/3
How many solutions exist for the system of equations below?
Answer Choices:
none
one
two
infinitely many
Answer:
None
Step-by-step explanation:
No solutions exist for the system of equations because the system is illogical: 3x+y=3x+y, but 18≠16.
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
Answer:
QPN and TSU
Step-by-step explanation:
They're both exterior angles and they are both alternate to each other.
la expecion del volumen
Answer:
no hay imagen lo siento
Step-by-step explanation:
Problem 3.1
Jaleel wrote a book. He wants to print some copies for his
friends and family. The printing company charges a one-
time fee of $200, plus $2 for each printed book.
Is Jaleel's total cost a function of the number of books he
prints?
Answer:
C(n) = 200 + 2n
Step-by-step explanation:
Given:
Fixed cost state by printing company = $200
Variable charges per book print = $2
Find:
Cost function of number of books print
Computation:
Assume:
Number of books printed = n
Total cost of n books printed = Fixed cost state by printing company + Variable charges per book print[Number of books printed]
C(n) = 200 + 2n
Where n = number of book
C = Total cost
Jaleel's total cost as a function of the number of books he print is [tex]c = 2n + 200[/tex] (in dollars)
How to form mathematical equations from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4.
If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions or equations.
For the considered case, we don't know exactly how many books will Jaleel gets printed. So we can use variable here.
Let we have:
n = number of books Jaleel gets printed.c = total cost Jaleel has to pay for printing those booksThen, as stated in the problem, for each book there is $2 price, and there is a fixed one-time charge of $200
Thus, we get total cost as:
c = Cost for n books + Fixed one-time cost.
Cost for n books = 2 + 2 + ... + 2 (n times ) (in dollars) = [tex]2n[/tex](we don't write symbols like of currency generally, and understand it from context. Also, sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together)
Fixed one-time cost = $200Thus, total cost is written as:
c = Cost for n books + Fixed one-time cost.
c = 2n + 200 (in dollars)
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Estimate the product 28 2/3 x 4/5
Answer:
23.2, exact is 22.9333334
Step-by-step explanation:
28 2/3 is around 28.5 ,4/5 is .75
28.5 * .75 = 21.375
For each equality decide whether the solution is represented by X less than 2 .5 or X greater than 2.5 -4x+5>-5 -25>-5(x+2.5)
Answer:
[tex]x<2.5[/tex] and [tex]x > 2.5[/tex] are the solutions
Step-by-step explanation:
Given
[tex]-4x + 5 > -5[/tex]
[tex]-25 > -5(x + 2.5)[/tex]
Required
Determine if their solution is x < 2.5 or x > 2.5
[tex]-4x + 5 > -5[/tex]
Collect like terms
[tex]-4x>-5-5[/tex]
[tex]-4x>-10[/tex]
Divide by -4
[tex]x<\frac{-10}{-4}[/tex]
[tex]x<2.5[/tex]
[tex]-25 > -5(x + 2.5)[/tex]
Open bracket
[tex]-25 > -5x - 12.5[/tex]
Collect like terms
[tex]5x > 25- 12.5[/tex]
[tex]5x > 12.5[/tex]
Divide by 5
[tex]x > \frac{12.5}{5}[/tex]
[tex]x > 2.5[/tex]
Carmen surveys a random sample of 35 students from her school. Of these students, 2 are chess club members. If there are 550 students at her school, how many of them are likely to be chess club members?
Answer:
31
Step-by-step explanation:
2 out of 35 are chess club members.
The fraction of chess club members in the survey is 2/35.
Now we find 2/35 of 550.
2/35 * 550 = 1100/35 = 31.43
Answer: 31
If there are 550 students at her school, then there are 31 chess club members in the entire school.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
If Carmen surveyed a random sample of 35 students and found that 2 are chess club members.
We can set up a proportion to solve for this:
2/35 = x/550
where x is the number of chess club members in the entire school.
To solve for x, we can cross-multiply and simplify:
2 × 550 = 35 × x
1100 = 35x
Divide both sides by 35.
x = 1100/35
x ≈ 31.43
Therefore, we can estimate that there are approximately 31 chess club members in the entire school.
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Julie made some hot chocolate by mixing 1 1/4 cups of milk with 1/2 tablespoons of cocoa. How many cups of milk Julie uses for 1 tablespoon of cocoa?
Answer:
2 2/4
Step-by-step explanation:
Since 1/2 of tablespoon of coca can make 1 1/4 cup of milk...
1 1/4 + 1 1/4 = 2 2/4
find the value of x.
Answer:
5
Step-by-step explanation:
5y+155=180
5y=180-155=25
y=5
5y+13x=90
13x=90-25=65
x=5°
Help me pleas I need help to solv this problem
Answer:
(name) has a pizza. (name) steals (a fracton) of the pizza. How much pizza is left?
Step-by-step explanation:
3 Each change of 6 in the linear function
f(x) results from a change of 2 in x.
What is the rate of change of f(x) in
relation to x?
A
1/3
с 3
B-1/3
D-3
Answer:
D. -3
Step-by-step explanation:
Sana nakatulong
Aria recorded her daily lemonade stand profit during one week. Which data representation would you use to show her profit over the week? Explain how you would draw it and what you would expect to see
Answer:
Step-by-step explanation:
a line graph would show the data over time.I would plot the days along the horizontal axis and each daily profit at points on the vertical axis.I would connect the points with lines.If her profit increasing each day, I would expect the line height to increase over time.
Answer:
There is already another answer:
line graph or bar graph because it shows you what day of the week you sell more lemonade.
Step-by-step explanation: