Step-by-step explanation:
You HAVE to remember: For RIGHT trinagles:
S-O-H-C-A-H-T-O-A
Sin Φ = Opposite LEG / Hypotenuse
For this RIGHT triangle, this becomes
sin (31) = 11/x
then x = 11/sin(31) = 21.4 units ( You have to use a calculator)
Suppose 72% of students chose to study French their freshman year, and that meant that there were 378 such students. How many students chose not to take French their freshman year?
Answer:
There were 378 students who chose to study French their freshman year. This means that 72% of the total number of students chose to study French their freshman year. Therefore, the total number of students must be 378 / 0.72 = 527.5. This means that there were 148.5 students who chose not to take French their freshman year.
Step-by-step explanation:
Stephen is combining all juice shown to make fruit punch. Does the expression (64+28+76)/6 make sense’s
Yes, the expression (64+28+76)/6 makes sense as it represents the average quantity of juice per unit when combining all the shown juices.
To determine whether the expression (64+28+76)/6 makes sense, we need to evaluate the components of the expression and consider whether the mathematical operations are valid.
The expression (64+28+76)/6 represents the sum of three numbers (64, 28, and 76), divided by 6. Let's break it down step by step:
Addition: We have three numbers being added together: 64, 28, and 76. The sum of these numbers is 168 (64 + 28 + 76 = 168).
Division: The sum of the three numbers, 168, is then divided by 6. Division is a valid mathematical operation.
Now, let's analyze whether the expression makes sense in the context of Stephen combining all the juice to make fruit punch. The numbers 64, 28, and 76 may represent quantities of juice (in some units) that Stephen is combining. However, without further information or context, we cannot determine if the expression accurately represents the combination of these juices.
If the numbers 64, 28, and 76 represent quantities of juice in the same units (such as milliliters or liters), then the expression (64+28+76)/6 would represent the average quantity of juice per unit. The result, 168/6, would be 28. This would imply that each unit (e.g., glass or serving) of the fruit punch contains an average of 28 units of juice.
In summary, mathematically, the expression (64+28+76)/6 is valid. However, without additional context regarding the units or quantities being represented, it is not possible to determine whether the expression accurately describes the process of combining the juices to make fruit punch.
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(8)/(r+2)+(8)/(r-2)=3
Answer:
- 2/3, 6
Step-by-step explanation:
Tristan wants to build a square garden in his backyard. If the garden is going to be 64 square feet, how many feet of material will he need for the perimeter of the garden?
Answer:
Tristan will need 8 to go around the perimeter
Step-by-step explanation:
because 8×8 is 64 so he will have enough
jose jumped 8 1/3 ft . this was 2 2/3 ft. farther than Lila jumped. How far did Lila jump ?
We have the following:
In this case the first thing is to convert the mixed numbers into fractional numbers. Then we must subtract what Jose jumped with the difference between Lila and him.
Just like that:
\(\begin{gathered} 8\frac{1}{3}=\frac{25}{3} \\ 2\frac{2}{3}=\frac{8}{3} \\ \frac{25}{3}-\frac{8}{3}=\frac{17}{3} \\ \frac{17}{3}=5\frac{2}{3} \end{gathered}\)Therefore Lila's jump was 5 2/3 feet
Find the length of the third side.if necessary,round to the nearest tenth.
Answer:
Where's the question please? You only sent a statement.
Help me pls!!!ASAP I don’t get it
Which statement must be added to the given to keep this proof valid?
A. JL ⊥ LM
B. KN ⊥ LM
C. JL || LM
D. KN || LM
A statement that must be added to the given to keep this proof valid include the following: D. KN || LM.
What are parallel lines?In Mathematics, parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.
What is the basic proportionality theorem?In Mathematics, the basic proportionality theorem states that when any of the two (2) sides of a triangle is intersected by a straight line which is parallel to the third (3rd) side of the triangle, then, the two (2) sides that are intersected would be divided proportionally and in the same ratio.
Based on the basic proportionality theorem, we know that line segment KN is parallel to line segment LM.
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water and food are products of?
Can someone solve this pls???
Answer:
i think is( C.) distance and speed
hoped i helped
Sadie can't wait to make chocolate chip zucchini bread with zucchini from her garden. Her recipe calls for 8 ounces of chocolate chips per loaf. If she has enough zucchini to make 4 loaves of zucchini bread, how many pounds of chocolate chips does she need?
Answer: 2 pounds
Step-by-step explanation:
So if Sadie needs 8 ounces for one loaf she needs 32 ounces for 4 loaves.
32 ounces is equal to 2 pounds.
What is the percent of change from 400 to 600
Answer:
I dont speak english so i dont know whats is your question
Tell whether each fraction, \(\frac{1}{n}\), is written as a terminating
decimal or a repeating decimal for the given values
of n. Write T for terminating or R for repeating.
Answer:
ANSWER EQUALS NUMBER MULTIPLY BY TWO
PLEASE MARK ME BRAINLIST
Answer:
n = 2 ⇒ 1/n = 1/2 = 0.5 Tn = 3 ⇒ 1/n = 1/3 = 0.(3) Rn = 4 ⇒ 1/n = 1/4 = 0.25 Tn = 5 ⇒ 1/n = 1/5 = 0.2 Tn = 6 ⇒ 1/n = 1/6 = 0.1(6) Rn = 7 ⇒ 1/n = 1/7 = 0.(142857) Rn = 8 ⇒ 1/n = 1/8 = 0.125 Tn = 9 ⇒ 1/n = 1/9 = 0.(1) Tn = 10 ⇒ 1/n = 1/10 = 0.1 Twhat is x ? full explanation please
Answer:
x = 6
Step-by-step explanation:
Looking at the figure, we can say that it is a vertical angle.
5x - 7 = 23
5x - 7 + 7 = 23 + 7
5x = 30
5x / 5 = 30 / 5
x = 6
Since it is a vertical angle, the other side should be 23⁰. You can also plug in the x value to find if it gives you 23⁰ or not.
5x - 7
5(6) - 7
30 - 7
23
Therefore, x = 6. Hope this helps and stay safe, happy, and healthy, thank you :) !!
Write 18 hundreds 11 tens in standard form.
The standard form of "18 hundreds 11 tens" is 1910.
To write "18 hundreds 11 tens" in standard form, we need to convert the given number into its numerical representation.
We know that 1 hundred is equal to 100, and 1 ten is equal to 10.
So, to find the numerical value of "18 hundreds 11 tens," we multiply the respective values by their place values and then add them together.
18 hundreds = 18 x 100 = 1800
11 tens = 11 x 10 = 110
To find the standard form, we add the two values:
1800 + 110 = 1910
Therefore, "18 hundreds 11 tens" in standard form is 1910.
In standard form, numbers are written using digits, without any reference to place value units like hundreds or tens.
The standard form of a number represents its numerical value directly. So, the numerical value of "18 hundreds 11 tens" is 1910, which is its standard form.
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Antonio buys a 10-pound bag of potatoes for $3.98. To the nearest cent, how much is 1 pound of potatoes?
A
$3.88
B.
$1.38
C
$0.40
D
$0.04
Answer:
C $0.40
Step-by-step explanation:
to find how much one pound of potatoes is, you have to divide the the cost of the bad by the number of pounds ($3.98 divided by 10 pounds)
$3.98 : 10 = $0.398 = $0.40
Please help <3
Don’t guess
Answer:
median
Step-by-step explanation:
answer is the best measure of center for this dot plot is a median
answer options d
A large company is interested to know the variation in yearly sales for its salespeople. The dataset shown below is the yearlysales for a sample of 5 salespeople (expressed in thousands of dollars):
We are given the following data of 5 salespeople (expressed in thousands of dollars)
40, 60, 65, 70, 80
We are asked to find the variance of the samples data
Recall that the variance of a sample is given by
\(s^2=\frac{\sum^{}_{}(X-\bar{X})^2}{N-1}\)Where X are the individual data values, X_bar is the mean of the data set and N is the number of samples.
The mean of the sample data is given by
\(\bar{X}=\frac{\sum ^{}_{}X}{N}=\frac{40+60+65+70+80_{}}{5}=\frac{315}{5}=63\)So, the mean of the sample data is 63
Finally, the variance is
\(s^2=\frac{\sum^{}_{}(X-\bar{X})^2}{N-1}=\frac{(40-63)^2+(60-63)^2+(65-63)^2+(70-63)^2+(80-63)^2}{5-1}=\frac{880}{4}=220\)Therefore, the variance in the sample data is 220
find the area of the triangular prism
The total surface area of the triangular prism using the net is 96 square units
Calculating the total surface area using the net.From the question, we have the following parameters that can be used in our computation:
The net of a triangular prism
The surface area of the triangular prism from the net is calculated as
Surface area = sum of areas of individual shapes that make up the net of the triangular prism
Using the above as a guide, we have the following:
Area = 2 * 3 * 7 + 6 * 7+ 2 * 1/2 * 2 * 6
Evaluate
Area = 96
Hence, the surface area is 96 square units
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Write the answer is (x,y) form
The translation in the form (x,y) is (-3, -10)
How to determine the translation that maps from T to T'?In geometry, translation is a type of transformation that moves each point of a figure to a new location, while preserving the shape and size of the figure. A translation is defined by a displacement vector, which specifies the direction and magnitude of the movement.
T is the initial position of the object and T' is the image (new position) of the object after translation. We can use this equation:
T + translation = T'
translation = T' - T
translation = (6, -2) - (9, 8)
translation = (6-9, -2-8)
translation = (-3, -10)
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The first five terms of a quadratic sequence are 3, 12, 25, 42, 63.
Find the nth term of this sequence.
Since we know the sequence is quadratic, we expect the \(n\)-th term to have the general form
\(x_n = an^2 + bn + c\)
Plug in the first 3 known values of the sequence to form a system of equations.
\(x_1 = 3 = a + b + c\)
\(x_2 = 12 = 4a + 2b + c\)
\(x_3 = 25 = 9a + 3b + c\)
Eliminating \(c\) gives
\((4a + 2b + c) - (a + b + c) = 12 - 3 \implies 3a + b = 9\)
\((9a + 3b + c) - (a + b + c) = 25 - 3 \implies 8a + 2b = 22 \implies 4a + b = 11\)
Eliminating \(b\) gives
\((4a + b) - (3a + b) = 11 - 9 \implies a = 2\)
Solving for \(b,c\), we get
\(4a + b = 11 \implies b = 11-4\cdot2 = 3\)
\(a+b+c=3 \implies c=3-2-3 = -2\)
So, the \(n\)-th term of the sequence is
\(x_n = \boxed{2n^2 + 3n - 2}\)
Show your solution follow the steps need an answer, please need an answer, please.
Answer:
Step-by-step explanation:
27 ) 2x² - x - 1 = 0
2x² - 2x + x - 1 = 0
2x ( x - 1) + (x - 1) = 0
(x - 1)(2x + 1) = 0
x - 1 = 0 ; 2x + 1 = 0
x = 1 ; 2x = -1
x = -1/2
x = 1 ; -1/2
Option b
28) Area of a rectangle = 24 cm²
length * width = 24
(3x +2 )(2x -1) = 24
3x(2x -1) + 2(2x - 1) = 24
3x *2x - 3x *1 + 2*2x - 2*1 = 24
6x² -3x + 4x - 2= 24
6x² + x - 2 -24 = 0
6x² + x - 26 = 0
6x² -12x + 13x - 26 = 0
6x(x - 2) + 13(x - 2) = 0
(x -2)(6x +13) = 0
x = 2 {Ignore 6x + 13 as it gives negative value}
length = 3x + 2 = 3*2 + 2 = 6 + 2 = 8 cm
Width = 2x - 1 = 2*2 - 1 = 4 - 1 = 3 cm
29) Area of square = 900 cm²
Side² = 900
(5x)² = 900
25x² = 900
x² = 900/25
x² = 36
x = √36 = √6*6
x = 6 cm
30) base = b cm
height = b + 2
Area of triangle = 24 cm²
\(\dfrac{1}{2}base*height = 24\\\\\dfrac{1}{2}*b*(b+2) = 24\\\)
b(b + 2) = 24*2
b² + 2b = 48
b² + 2b - 48 = 0
b² - 6b + 8b - 48 = 0
b(b - 6) + 8(b - 6) = 0
(b - 6) (b + 8) = 0
b - 6 = 0 {Ignore b +8 = 0 as it gives negative value}
b = 6 cm
height = 6+ 2 = 8 cm
Please help me... :(
Answer:
6
Step-by-step explanation:
Think of it as a ratio. The recipe calls for 2:3. If Jason used 4, then you need to match the other side.
4/2=2
So you need to multiply 3 by 2 to find the match.
3x2=6
The ratio is 4:6, so Jason uses 6 teaspoons of baking powder.
-hope it helps
Find the consumers surplus
The consumer surplus is approximately $145.83.
To find the consumer surplus, we first need to find the demand function's inverse, which gives us the willingness to pay for each unit of the product. The demand function is:
D(x) = √(739 - 3x)
Setting D(x) equal to the equilibrium price of $25, we get:
25 = √(739 - 3x)
Squaring both sides, we get:
625 = 739 - 3x
Solving for x, we get:
So at a price of $25 per unit, the consumer is willing to buy 38 units per month.
Now we can calculate the consumer's surplus.
The consumer\(x = (739 - 625) / 3 = 38\) surplus is the difference between the total amount that consumers are willing to pay for a certain quantity of a good and the total amount they actually pay. In this case, the consumer's surplus can be calculated as:
\(CS = \int_0^{38} [D(x) - 25] dx\)
where D(x) is the demand function, and the integral is taken over the range of 0 to 38, which represents the quantity demanded at a price of $25 per unit.
Evaluating this integral, we get:
\(CS = \int_0^{38} [\sqrt{(739 - 3x)} - 25] dx\\\\= [1/6 (739 - 3x)^{(3/2)} - 25x]_0^{38}\\\\= \$ 145.83\)
Therefore, the consumer surplus is approximately $145.83.
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Which statement is true of the data?
The center of distribution for 8th grade is greater than the center of the distribution for 7th grade.
The spread of the distribution for 8th grade is equivalent to the spread of the distribution for 7th grade.
The interquartile range of the distribution for 7th grade is 1.5 times the interquartile range of the 8th grade.
The lower quartiles for both data distributions are equal.
Answer:
1. The center of distribution for 8th grade is greater than the center of the distribution for 7th grade.
Step-by-step explanation:
I’m begging please Please help 20
points!!
Answer:
She saved $27
Step-by-step explanation:
Search "what is 30% of $90"
It says 27 US$
please help it's due tomorrow
Answer:
B. -414,720 x⁷y⁶
Step-by-step explanation:
To find the 4th term of the expansion of (2x - 3y²)¹⁰, we can use the binomial theorem.
The binomial theorem states that for an expression of the form (a + b)ⁿ:
\(\displaystyle (a+b)^n=\binom{n}{0}a^{n-0}b^0+\binom{n}{1}a^{n-1}b^1+...+\binom{n}{r}a^{n-r}b^r+...+\binom{n}{n}a^{n-n}b^n\\\\\\\textsf{where }\displaystyle \rm \binom{n}{r} \: = \:^{n}C_{r} = \frac{n!}{r!(n-r)!}\)
For the expression (2x - 3y²)¹⁰:
a = 2xb = -3y²n = 10Therefore, each term in the expression can be calculated using:
\(\displaystyle \boxed{\binom{n}{r}(2x)^{10-r}(-3y^2)^r}\quad \textsf{where $r = 0$ is the first term.}\)
The 4th term is when r = 3. Therefore:
\(\begin{aligned}\displaystyle &\;\;\;\;\:\binom{10}{3}(2x)^{10-3}(-3y^2)^3\\\\&=\frac{10!}{3!(10-3)!}(2x)^7(-3y^2)^3\\\\&=\frac{10!}{3!\:7!}\cdot2^7x^7(-3)^3y^6\\\\&=120\cdot 128x^7 \cdot (-27)y^6\\\\&=-414720\:x^7y^6\\\\ \end{aligned}\)
So the 4th term of the given expansion is:
\(\boxed{-414720\:x^7y^6}\)
Can anyone help me that would be great
Answer:
0.343, 0.424, 0.443
Step-by-step explanation:
4. Camren wants to save $87 for tickets to a concert. If Camren has $24 now and will save$7 per week, how long will it take to get enough money to buy the tickets?Can you please show me how to do this step by step
Camren wants to save $87 for tickets to a concert. If Camren has $24 now and will save
$7 per week, how long will it take to get enough money to buy the tickets?
Can you please show me how to do this step by step
step 1
Let
x -----> the number of weeks
y -----> total amount of money that Camren has
we have that
The linear equation that represent this situation is
y=7x+24
For y=$87
substitute in the linear equation
87=7x+24
solve for x
7x=87-24
7x=63
x=9
therefore
The answer is
9 weeks1,2,3,4,5 what is probability that an even number will be chosen?
Answer:
Step-by-step explanation:
step 1
100%/the total number = percent for one probability
100/5 = 20%
2 and 4 is even.
total even number * percent for one probability = total percent for even number
20% * 2 = 40%
therefore total even number is 40%
The probability is:
2/5Step-by-step explanation:
Remember the formula for probability:
\(\boxed{\!\!\boxed{\bold{Probability=\frac{Favourable~outcome}{total~outcomes}\quad}}\!\!}\)
In this case, the favourable outcome (an even number) is 2, because there are only 2 even numbers in the set.
As for the total outcomes, there are 5 of them, because we have 5 numbers total.
So the probability of choosing an even number is 2/5.