Answer:
The answer is "5.7"
Step-by-step explanation:
Using the cosine rule.
[tex]\cos T = \frac{r^2+s^2-t^2}{2rs} \\\\t^2= r^2+s^2-2rs \cos T ........(i)\\\\r=1.7\\s=7.3\\T=15\\\\t^2= (1.7)^2+(7.3)^2-2(1.7)(7.3) \cos 15^{\circ} \\\\[/tex]
[tex]=2.89+53.29-24.82(0.9659)\\\\=32.2064[/tex]
[tex]t= 5.6751 =5.7[/tex]
f(x) = x^2 +3x-2
F(a) = ?
find F(x) for the given domain.
Answer:
a^2 +3a-2
Step-by-step explanation:
Given the expression:
g(x) = x^2 +3x-2
We are to find f(a). To get this, we will simply replace x with a in the expression as shown;
g(a) = a^2 +3a-2
hence the required domain is expressed as g(a) = a^2 +3a-2
PLS HELP MATHH!!! FIVE STARS!!!
Polynomials are closed under subtraction.
Question 22 options:
True
False
Answer:
True
Step-by-step explanation:
sry if it wrong
Please help meh ! I’ll mark you as the brainliest
Answer:
Guava has the most, Nelli juice has second most, Mango juice has third most Papaw juice has 4th most, Woodaple has the least
Step-by-step explanation:
Answer:
From smallest portion to biggest
Wood apple juice,
Papaw juice,
Mango juice,
Nelli Juice
Step-by-step explanation:
By looking at this graph we cam tell Guava juice has the most since it has the biggest section.
Now we can tell Wood apple juice isn't a popular option because it has the smallest section
Now to fill in the gaps, Papaw juice has the second least amount, then Nelli has third least amount, and and Guava Juice has the most.
what is the surface area of the square pyramid (pic attached)
Answer:
18ft2
Step-by-step explanation:
17q=476 Solve for q
Answer: The answer is q = 28.
Look at the diagram. If ST = 15 and RT = 40, then RS =_____.
R———————S——————T
The length of RS is 55 unit.
What is Axiom of addition?The addition axiom states that when two equal quantities are added to two more equal quantities, their sums are equal. Thus, if a = b and y = z, then a + y = b + z.
We have, ST = 15 and RT = 40
Then RS can be get by adding the value ST + RT.
Apply Axiom of addition
then, RS
= RT + ST
= 40 + 15
= 55 unit.
thus, the length of RS is 55 unit.
Learn more about Axiom of addition here:
https://brainly.com/question/24148930
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What is the slope of a line that passes through the points (3.2) and (7,-12)?
0 1 2
0 -2
2
0 1
Answer:
[tex]m=\frac{-7}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (3, 2)
Point (7, -12)
Step 2: Find slope m
Substitute [SF]: [tex]m=\frac{-12-2}{7-3}[/tex]Subtract: [tex]m=\frac{-14}{4}[/tex] Simplify: [tex]m=\frac{-7}{2}[/tex]What is the number of possible permutations of 8 objects taken 4 at a time?
A.
24
B.
70
C.
1,680
D.
40,320
Answer:
1,680
Step-by-step explanation:
n!/(n-r)!
in this case n= 8 and r= 4
so 8!/(8-4)! = 1,680
The possible permutation of 8 objects taken at 4 a time will be 1680.
What is permutation?
The linear arrangement of the set of the orders or the linear arrangements of the numbers is called the permutation.
The number of possible permutations of 8 objects taken 4 at a time will be:-
[tex]^8C_4=\dfrac{8!}{(8-4)!}[/tex]
[tex]^8C_4=\dfrac{8!}{(4)!}[/tex]
[tex]^8C_4=\dfrac{8 \times 7\times 6\times 5\times 4\times 3\times 2}{4\times 3\times 2}=1680[/tex]
Therefore the possible permutation of 8 objects taken at 4 a time will be 1680.
To know more about permutations follow
https://brainly.com/question/1216161
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It’s time to lock down the design details for the redesigned Brick and Egyptian candles. Because of manufacturing constraints, the base length for each candle has to be at least 2 cm and can be no more than 10 cm. Make a recommendation for the base dimensions of each candle. Explain how you determined your base dimensions. Your reasoning does not have to be all math related.
Answer:
THE SMALLEST FORMS:
- smallest prism ---> the cube with all sides 2 ==> the volume is 2*2*2 = 8 cm^3
- smallest pyramid number one ---> the pyramid with base sides 2 and the height also 2 ==> the volume is (1/3)*2*2*2 = 8/3 cm^3
- smallest pyramid number two ---> the pyramid with base sides 2 and the lateral sides also 2 ==> the radius of the base is sqrt(2) ==> [pyramid_height]^2 = [lateral_side]^2 - [base_radius]^2 = 2^2 - sqrt(2)^2 = 4 - 2 = 2 ==> pyramid_height = sqrt(2) ==> the volume is (1/3)*2*2*sqrt(2) = 4*sqrt(2)/3 cm^3
- smallest cylinder --> the cylinder of diameter 2 and height also 2 ==> the radius is diameter/2 = 2/2 = 1 ==> the volume is pi*(radius^2)*height = pi*(1^2)*2 = pi*1*2 = 2*pi cm^3
The lesser volume is the volume of the smallest pyramid number two. ==> it's wax cost is approximately 0.0075 * 4 * 1.42 / 3 $ per candle = 0.014 $ per candle ==> the total cost per candle is approximately 0.014 + 1.6 = 1.614 $ per candle.
THE BIGGEST FORMS:
- biggest prism ---> the cube with all sides 10 ==> the volume is 10*10*10 = 1000 cm^3
- biggest pyramid number one ---> the pyramid with base sides 10 and the height also 10 ==> the volume is (1/3)*10*10*10 = 1000/3 cm^3
- biggest pyramid number two ---> the pyramid with base sides 10 and the lateral sides also 10 ==> the radius of the base is 5*sqrt(2) ==> [pyramid_height]^2 = [lateral_side]^2 - [base_radius]^2 = 10^2 - [5*sqrt(2)]^2 = 100 - 50 = 50 ==> pyramid_height = 5*sqrt(2) ==> the volume is (1/3)*10*10*5*sqrt(2) = 500*sqrt(2)/3 cm^3
- biggest cylinder --> the cylinder of diameter 10 and height also 10 ==> the radius is diameter/2 = 10/2 = 5 ==> the volume is pi*(radius^2)*height = pi*(5^2)*10 = pi*25*10 = 250*pi cm^3
The bigger volume is the volume of the biggest prism (the side-10 cube). ==> it's wax cost is 0.0075 * 1000 $ per candle = 7.5 $ per candle ==> the total cost per candle is 7.5 + 1.6 = 9.1 $ per candle
The range of the cost is the interval [1.614 ; 9.1]. Depending on other prices on the market, you greed, and other factors you will put a profit margin: maybe 20% of the cost ; maybe a fixed margin like 5$. So the price per candle will be the cost per candle plus the profit margin per candle.
If I were to choose the base length I would have to say 6 because it is the arithmetic mean between 2 and 10: (2+10)/2 = 12/2 = 6. 2cm is too small, and 10cm is too big.
Also if you start with a rectangle of length 10 and width 2 and you have to find the rectangle with the largest area by being allowed to increase the width and decrease the width with the same quantity you get this:
Area of the new rectangle is (10-x)(2+x) = -x^2 + 8x + 20 = -x^2 + 8x -16 + 36 = -(x^2 - 2*x*4 + 4^2) + 36 = -(x-4)^2 + 36 = 36 - (x-4)^2 which has the maximum value of 36 because out of 36 you subtract a positive value. You get the maximum when (x-4)^2 = 0 ==> x-4=0 ==> x=4
The new length is 10-4=6 and the new width is 2+4=6.
Next I would choose the height of the prism (I like prisms :P) to be [the_golden_ratio]*[base_side] which is approximately 1.618 * 6 = 9.708 which I would round up to 10. ==> The volume would be 6*6*10 = 360 cm^3. ==> the cost would be 0.0075*360 + 1.6 = 2.7 + 1.6 = 4.3 $ per candle. And because my candle is so perfect I'd put the profit margin to be 5.69 $ per candle so I can proudly show it in the store with the price of 4.3 + 5.69 = 9.99 $ :)
i need help asaapppp
Answer:
Step-by-step explanation:
the 3rd one
9.476, 9.427, 9.43, 9.347, 9.4, 9.38
HELP ASAP
LESSER GREATER
Answer:
B. 9.427, D. 9.347, F. 9.38, E. 9.4, C. 9.43, A. 9.476,
Step-by-step explanation:
Maurice has a paper bag with three hard candies: two blueberries and one green apple. Yvonne and Kate ask if they can each have one. Yvonne closes her eyes and picks a candy from the bag, hoping for a blueberry. What are the chances she will pick a blueberry candy?
Answer:
The chances of Yvonne to get a blue berry candy in the two cases are 1 and 1/2 in case 1 and 2/3 in the case 2.
Step-by-step explanation:
Maurice has a paper bag with three hard candies
2 blueberries and 1 green apple
Yvonne and Kate want 1 candy each
It is not mentioned that ether Kate has taken a candy already before Yvonne or not so we will consider both the cases
Case 1
If Kate has picked a candy before Yvonne
If Kate gets an Apple green candy then the probability or Yvonne to get a Blueberry will be = 2/2 = 1 ( as there will 2 blueberry candy left in the bag)If Kate has taken a Blueberry candy then there will be 1 blueberry and 1 apple green candy in the bag so the probability of Yvonne to get a Blueberry candy will be = 1/2Case 2
If Kate has not taken any candy from the bag before Yvonne
Probability that Yvonne will get a blueberry candy will be = 2/3
Therefore the chances of Yvonne to get a blue berry candy in the two cases are 1 and 1/2 in case 1 and 2/3 in the case 2.
4m + 7 = -3m + 49 what does this
Answer: m = 6
Step-by-step explanation:
first, move the terms.
4m + 3m = 49 - 7
then, collect like terms and calculate.
7m = 42
then divide both sides.
m = 6
Answer:
m=42
Step-by-step explanation:
simplifying both sides of the equation then isolating the variable.
solve 3^x+3=30 (will give brainlest for the correct answer)
Answer:
x=3
Step-by-step explanation:
3^x+3=30
3^x=27
3^3=27
x=3
Answer:
Step-by-step explanation:
3 x 3 = 9 + 3 = 12
30 divided by 12
= 2.5
2. Are these two ratios equivalent? 8/5, 24/20
Answer: No
Step-by-step explanation:
I took a test and this answer was correct.
Probability question 2
A number cube is rolled once....
What is the measurement of <8
Answer:
175
Step-by-step explanation:
since 1 was 152 you have to add more to get number 8
Luanne is filling bag with bouncy balls and candy. A package of candy has 88 pieces, and the bouncy balls are in a package of 56. She wants an equal amount of each item in a bag. What is the greatest number of each item that will go in each bag?
Answer choices:
2
4
8
11
Answer:
kk
Step-by-step explanation:
kk
helpppppppppppppppppppppppp meeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer: The answer is C
Step-by-step explanation:
PLEASE, I NEED HELP ASAP
Answer:
x = 4
Well basically 20 divided by 5 is 4. which makes this clearly the answer because the slope is 20/x which is being divided. So when you times 5 x 4 you get 20. It all comes together in a way.
7th grade math plz help
THE ANSWER IS NOT 15
Answer:
25
Step-by-step explanation:
90+x+2x+15=180
3x=75
x=25
please help will give brainliest
Answer:
b
the points make a sad face on the graph and if you do the vertical line test you can see that its a function
A soup can has a height of 4 cm and a radius of 3 cm
Answer:
what's the question
................
Simplify:
3-2i
-11-8i
Answer:
1i and -19i
Step-by-step explanation:
3-2=1, therefor: 1i
-11-8=-19, therefor: -19i
In the equation, f(x)=2x-4(x+1), what is the value of f(-14)?
A. 32
B. -32
C. 5
D. 24
Answer:
D. 24
Step-by-step explanation:
Plug in -14 to the equation:
f(x) = 2x - 4(x + 1)
f(-14) = 2(-14) - 4(-14 + 1)
Simplify:
f(-14) = -28 - 4(-13)
f(-14) = -28 + 52
f(-14) = 24
So, D is the correct answer.
A student can run 100 yards in 15 seconds. Convert this speed to miles per hour.
Sarah is allowed to watch no more than 10 hours of television each week. Sarah has already watched 6 hours of television. Define a variable, set up an inequality and solve that inequality to determine how many more hours of television Sarah can watch this week.
Answer:
Inequality = 6 + x ≤ 10
x(Number of hours more of television Sarah can still watch this week) = 4 hours
Step-by-step explanation:
Define a variable, set up an inequality and solve that inequality to determine how many more hours of television Sarah can watch this week.
We are told in the question that:
Sarah is allowed to watch no more than 10 hours of television each week.
This means :
Sarah can watch tv for less than or equal to 10 hours in a week. Sarah has already watched 6 hours of television.
Hence:
The number of hours left that Sarah can watch television in a week is represented as x
Our Inequality Equation =
6hours + x hours ≤ 10 hours
6 + x ≤ 10
Solving the inequality
x ≤ 10 - 6
x ≤ 4 hours
This means Sarah still has no more than (less than or equal to) 4 hours or television left to watch in this week
I NEED HELP ASAP
A student wrote and simplified an expression for the perimeter of the rectangle. (Using the picture provided.)
perimeter
Explain the mistake that was made in the simplified expression. Include the correct simplified expression in your explanation. Be sure to use math vocabulary words.
Answer:
Step-by-step explanation:
Last one
plz help me if you see this
Quantity
0-20 pairs
21-40 pairs
41-60 pairs
61-80 pairs
81 or more pairs
Wholesale Price
(per pair)
$25.00 each
$23.00 each
$21.00 each
$19.00 each
$17.00 each
a) Write an equation that could be used to find the retail price for each range.How do you know the equation will work consistently for each range? plz help me if you see this
Answer:
I am confused on what you are asking but I think the answer is y=12345x
Step-by-step explanation:
its correct
Can someone please help me?
Answer:5
Step-by-step explanation: the like moves at and angle bc u started going faster due to running
Answer:
B
Step-by-step explanation:)
Look at the graph it shows her walking the rest don't make sense
