Answer:
Option B (-sin 30°)
Step-by-step explanation:
Sine function is one of the trigonometric functions. Sine function is regarded as an odd function, which means that f(-x) = - f(x). Also, sine function is positive in the first two quadrants and negative in the last two quadrants. 210° lies in the third quadrant since 210° is greater than 180°. Therefore, the basic angle or the reference angle of 210° is 210° - 180° = 30°. We already know that sin 30° = 0.5. This means that whenever the angle is between 180° and 360°, the output of the sine function is negative. Therefore, sin 210° = -0.5. Only answer B is the correct option since -sin 30° = -0.5.
Find 12% less than 60
Answer:
52.8
Step-by-step explanation:
First we need to find 12% of 60
12% * 60
.12 * 60
7.2
We want less than which means subtract
60-7.2
52.8
Brenda is cooking couscous. The recipe says she requires 480 grams of couscous for 4 people. How many will she need for 14?
[tex]\bf \begin{array}{ccll} grams&people\\ \cline{1-2} 480&4\\ x&14 \end{array}\implies \cfrac{480}{x}=\cfrac{4}{14}\implies \cfrac{480}{x}=\cfrac{2}{7}\implies 3360=2x \\\\\\ \cfrac{3360}{2}=x\implies 1680=x[/tex]
HOW do you solve this?
What could be the side lengths of a right triangle?
A. 27, 35, 43
B. 26, 34, 42
C. 25, 33, 41
D 24, 32, 40
Answer:
you just need memorize some of the side lengths of right triangle, or you can use this formula to calculate: a^2 + b^2 = c^2
For example, you need memoreize this group of side lengths of right triangle: 3 , 4 , 5
and in your options, there is a group is same as 3, 4 , 5 but it's 8 times bigger.
The answer is:
D. 24, 32, 40
Answer:
D.
Step-by-step explanation:
In a right triangle, the sum of the squares of the two shorter sides will equal the square of the longest side.
The law to observe here is the Pythagorean theorem where;
[tex]a^2+b^2=c^2\\[/tex]
where a and b are the two shorter sides where as c is the longest side/hypothenuse
In this question the last option is correct.How?
Lets take a=24 and b=32, what is c?
You apply;
[tex]a^2+b^2=c^2\\\\24^2+32^2=c^2\\\\\\576+1024=1600\\\\c^2=1600\\\\c=\sqrt{1600} =40[/tex]
Hence option D is correct where ;
[tex]24^2+32^2=40^2[/tex]
6. Chris can buy an online magazine
subscription for $5.99 per month or
$65 per year. How much will he save
by paying for the whole year at once
rather than one month at a time?
Answer:
$6.88
Step-by-step explanation:
We are trying to compare two options: Buying a magazine for 12 months or for just 1 year.
To solve this, we can multiply the monthly rate by 12 because there are 12 months in a year.
5.99 x 12 = 71.88
The other option is to just pay $65 dollars for a whole year (12 months).
Comparing the two options, we see paying for the whole year is cheaper than paying for each month individually. Because of this, we can subtract $65, the cheaper option, from $71.88 to get $6.88
Chris will save $6.88 by paying for the whole year instead of purchasing for each month.
If DH = 4x - 2 and FH = x + 28, find the value of x for which DEFG must be a parallelogram.
6
10
7
8
Answer:
The answer for this question is B (10) I have shown a step by step explaination for you to understand how I got this answer
Step-by-step explanation:
4x-2=x+28
-x -x
3x-2=28
+2 +2
3x=30
3x/3 = 30/3
x=10
The value of x for which DEFG must be a parallelogram is Option(B) 10 .
What is a parallelogram ?A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.
How to find the value of x for which the figure is a parallelogram ?As we know that for a parallelogram, the opposite adjacent sides are always parallel and equal in length.
Therefore, for DEFG to be a parallelogram, the sides DH and FH must be equal in length.
We have, DH = FH
⇒ 4x - 2 = x + 28
⇒ 3x = 30
∴ x = 10
Thus, the value of x for which DEFG must be a parallelogram is Option(B) 10 .
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The following table shows the length (in days) of each of the 9 Tucker family vacations.
Based on this data, what is a reasonable estimate of the probability that the next Tucker family vacation lasts less than 3 days?
CHOOSE 1 ANSWER:
A.) 0.24
B.) 0.44
C.) 0.56
D.) 0.89
Answer:
the correct answer is C
Step-by-step explanation:
Number of favorite outcomes=5
Total Number of outcomes=9
5/9 = 0.56
The probability that the next Tucker family vacation lasts less than 333 days is about 0.560.560, point, 56.
A length on a map is 7.5 inches. The
scale is 1 inch:5 miles. What is the
actual distance?
A 1.5 miles C 12.5 miles
B 2.5 miles D 37.5 miles
Answer:
Option D 37.5 miles
Step-by-step explanation:
we know that
The scale on a map is [tex]\frac{1}{5}\frac{in}{mi}[/tex]
so
using proportion
Find the actual distance for a length on a map of 7.5 in
Let
x ----> the actual distance
[tex]\frac{1}{5}\frac{in}{mi}=\frac{7.5}{x}\frac{in}{mi}\\ \\ x=7.5*5\\ \\x=37.5\ mi[/tex]
X Y
2 6
5 15
8 24
What is the ratio of x to y? (Write it in simplest form)
Answer:
⅓
Step-by-step explanation:
Whether you divide by ⅓ [X ÷ ⅓] or multiply by ⅓ [Y × ⅓], the ratio is similar. It never varies.
1/3
Divide the 2 lowest values by each other.
6/2=1/3
Hope this helps!
4x + 8y = 16
4x-8y = 0
Answer:
[2, 1]
Step-by-step explanation:
By the Elimination method, you are left with 8x = 16 because -8 and 8 are what are called Additive Inverses, meaning they result in 0⃣; x = 2, plug 2⃣ back into both equations, and you will see that y = 1, making the solution above.
15p!!what is the percent of change from 134 to 106? round to the nearest percent!
Answer:
The answer is 21%.
Step-by-step explanation:
1) divide 134 by 106
106/134 is about 0.79
2) Multiply by 100 to find the percentage
0.79(100)= 79%
3) Subtract 79% from 100% to find the percentage difference
100%-79%= 21%
Therefore, the percent of change between 134 and 106 is 21%.
Hope this helps!
Find the average rate of change from x = 3 to x = 15 for the function f(x) = 0.01(2)x and select the correct answer below
Plug values in function.
f(3) = 0.01(2)(3)
f(3) = 0.06
f(5) = 0.01(2)(5)
f(5) = 0.10
Average rate of change formula: f(b) - f(a) / b - a
Plug in.
0.10 - 0.06 / 5 - 3 = 0.04 / 2 = 0.02
Average rate of change: 0.02
Answer:
The Average rate of change: 0.02
Step-by-step explanation:
Great Question, First to be able to figure out the average rate of change for the function we need to plug each value for x given into the function and get an output value
[tex]f(3) = 0.01(2)(3)[/tex]
[tex]f(3) = 0.06[/tex]
[tex]f(15) = 0.01(2)(15)[/tex]
[tex]f(15) = 0.3[/tex]
Now that we have both outputs for the values of x given to us in the question, we can use the rate of change formula from the picture below to find the Rate of Change of these two values of x.
[tex]\frac{0.3-0.06}{15-3} = r[/tex]
[tex]\frac{0.24}{12} = r[/tex]
[tex]0.02 = r[/tex]
So Now we see that The Average rate of change: 0.02
I hope this answered your question. If you have any more questions feel free to ask away at Brainly.
Whatis the value of the expression
4(x + y)
when x= 6 and y= 24?
Answer:
120
Step-by-step explanation:
Evaluate the expression by substituting the given values into it
4(6 + 24) = 4 × 30 = 120
If p(x) = x2 + 7x + 3 is divided by x + 4, the remainder is
Write 0.0002507 in scientific notation.
Answer:
2.507* 10^-4
Step-by-step explanation:
0.0002507
We need to have one number to the left of the decimal
We move the decimal 4 places to the right
Since we moved the decimal to the right, the exponent on the power of 10 is negative
2.507* 10^-4
True or false? Many triangular shapes can be circumscribed about a given circle
Answer:
False.
Because Only one circle can be circumscribed about a given triangle.
Final answer:
The statement that many triangular shapes can be circumscribed about a given circle is true, as an infinite number of triangles can be formed by connecting any three distinct points on the circumference of the circle.
Explanation:
The statement "Many triangular shapes can be circumscribed about a given circle" is true. By definition, a circumscribed triangle is one that surrounds a circle, touching the circle exactly at its perimeter at three points.
Given a circle, you can indeed construct infinite triangles that circumscribe the circle, as for any set of three points on the circumference of the circle, a unique triangle can be formed.
In mathematical terms, three points determine one of these curves; that is, through any three points not in a straight line on a circle's circumference, we can draw a unique triangle which will circumscribe the circle.
Since there are an infinite number of points on a circle's circumference, we can choose an infinite number of triplets of points, each producing a different circumscribed triangle.
Please help... For what value of x would the quotient (2x2 +3x-4)/(x+ 4) not make sense?
Answer:
-4 or A
Step-by-step explanation:
If x was -4 then you would be dividing by zero and it would not be possible.
If 75 is 25% of a value, what is the value?
Since 25% of something is also 1/4 of something, multiply 25% by 4 to get the full value.
Since 75 is 25 percent, multiply 75 by 4.
75*4=300
The value is 300.
Hope this helps!
Solve the equation for x
Cx-4=7
Answer:
( A )
Step-by-step explanation:
To solve this problem you must apply the procedure shown below:
1. You have the following equation given above:
2. The negative four will pass as a positive four to the right member.
3. Te sum of 7 and 4 will be divided by , as following:
Answer:
Step-by-step explanation:
The given equation is :
Cx-4=7.
To solve for x we isolate the x term .
Adding 4 both sides:
Cx=7+4
Cx=11
To x term C is multiplied ,performing the opposite operation that is dividing both sides by C we have :
x=[tex]\frac{11}{C}[/tex]
625 kids play sports. If there are 125 kids on each team, how many sports are there?
Answer:
5 sports
Step-by-step explanation:
To find the number of sports, take the total number of kids and divide by the number of teams
625/125 = 5
There are 5 sports
[tex]\text{Hey there!}[/tex]
[tex]\text{In order for you to find the number of sports were there, we have to divide!}[/tex]
[tex]\bullet\ \text{625 kids play sports}[/tex]
[tex]\bullet\ \text{125 kids on each team}[/tex]
[tex]\text{625 will be our numerator (or front number)}[/tex]
[tex]\text{125 will be our denominator (or back number)}[/tex]
[tex]\dfrac{625}{125}=625\div125=5[/tex]
[tex]\boxed{\boxed{\bf{Your\ answer:5}}}\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
If y+3y+5y=−18
y
+
3
y
+
5
y
=
−
18
, then what is the value of y
y
?
Answer:
y=-2
Step-by-step explanation:
y+3y+5y=−18
Combine like terms
9y = -18
Divide each side by 9
9y/9 = -18/9
y = -2
The equation y + 3y + 5y = -18 simplifies to 9y = -18; solving for y, we find y = -2.
Explanation:The equation presented is y + 3y + 5y = −18. To find the value of y, we first need to simplify the left-hand side of the equation by adding the similar terms together. In this equation, all terms on the left-hand side are multiples of y. Thus, y + 3y + 5y simplifies to 9y.
Our equation then becomes 9y = -18. To solve for y, we divide both sides of the equation by 9, yielding y = -2.
So, the value of y in this equation is -2.
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a coin is tossed two times find the probability of getting (1 . exactly one head (2.at least one head (3. at most one head
[tex]|\Omega|=2^2=4[/tex]
1.
[tex]|A|=2\\P(A)=\dfrac{2}{4}=\dfrac{1}{2}[/tex]
2.
[tex]|A|=3\\P(A)=\dfrac{3}{4}[/tex]
3.
[tex]|A|=3\\P(A)=\dfrac{3}{4}[/tex]
How do I find the inverse function of this equation
Answer:
y=ln(x/(1-x))
Step-by-step explanation:
y=e^x/(1+e^x)
Cross multiply
y(1+e^x)=e^x
Distribute
y+ye^x=e^x
Put anything with x on with side and everything without x on opposing side:
y=e^x-ye^x
Factor right hand side
y=(1-y)e^x
Divide both sides by (1-y)
y/(1-y)=e^x
Use natural log.
ln(y/(1-y))=x
The inverse is
y=ln(x/(1-x))
Please help. The survey data, and question is in the picture provided.
Answer:
[tex]\frac{83}{186}[/tex]
Step-by-step explanation:
In probability, "OR" means "+" and "AND" means "*".
The total amount of people is:
32 + 54 + 78 + 112 + 96 = 372
Number of diabetic patients are 54
Number of eye patients are 112
Since we want "OR", we will add the two probabilities:
P(diabetic or eye problem) = 54/372 + 112/372 = 83/186
The number of lattes sold daily for two coffee shops is shown in the table:
Lattes
12
52
57
33
51
15
46
45
Based on the data, what is the difference between the median of the data, including the possible outlier(s) and excluding the possible outlier(s)?
48.5
23
8.4
3
Answer:
The Answer would be D) 3
Simplify the expression below if x > 0 and y > 0
Answer:
√'xy/y
Step-by-step explanation:
1. [x*y^(1/2)] / [y * x^(1/2)]
= [x^(1/2) * y^(1/2)] / y
= (xy)^(1/2) / y
You'll get your answer as : √'xy/y
How many solutions does the equation 4s + 8 = 3 + 5 + 4s have? (5 points) Two None One Infinitely many
Answer:
Infinitely many
8
Step-by-step explanation:
First, you subtract by 4s both sides of equation.
4s+8-4s=3+5+4s-4s
Then, simplify.
8=3+5
Same thing like order of operations.
Parenthesis
Exponent
Multiply
Divide
Add
Subtract
Add the numbers from left to right.
3+5=8
8=8 is true
8 is the correct answer.
Infinitely many is the correct answer.
The given equation has no solution.
As the given equation is:
[tex]4s+8=3+5+4s\\[/tex]
So, if we simplify we get;
[tex]8=3+5+4s-4s[/tex] (subtracting 4s from both sides of the equation)
Now, on adding we get;
[tex]8=8[/tex]
So, LHS=RHS.
Therefore, there is no variable for which we can find the solution.
Hence option(b) none is the correct answer
What's an equation in math?An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra. Algebra is used in maths when you do not know the exact number in a calculation. Many professionals use equations every day, including air traffic controllers, architects, computer programmers and carpenters.
What is an equation example?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7.
What is the best definition for equation?Equation is defined as the state of being equal and is often shown as a math expression with equal values on either side, or refers to a problem where many things need to be taken into account. An example of an equation is 2+2 = 3+1.
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what is the slope of the graph shown below ?
A. 4/3
B. 1/4
C. -3
D. 4
Answer:
D. 4Step-by-step explanation:
[tex]\text{The slope}[/tex]
[tex]m=\dfrac{rise}{run}[/tex]
[tex]rise=-4\\\\run=-1[/tex]
[tex]m=\dfrac{-4}{-1}=4[/tex]
The required slope of the graph exists 4.
Slope of the graphThe graph exists in a straight line.
The line passes through the points (0, -3) and [tex]$\left(\frac{3}{4}, 0\right)$[/tex].
We know the slope of a straight line passing through the points (a, b) and (c, d) is given by
[tex]$m=\frac{d-b}{c-a} .$$[/tex]
Therefore, the slope of the given line is
[tex]$m=\frac{0-(-3)}{\frac{3}{4}-0}$$[/tex]
[tex]$&\Rightarrow m=\frac{3}{\frac{3}{4}} \\[/tex]
[tex]$&\Rightarrow m=3 \times \frac{4}{3}\end{aligned}$$[/tex]
[tex]$\Rightarrow m=4 \text {. }$$[/tex]
The required slope of the graph exists 4.
Therefore, the correct answer is option D. 4
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Which of the following best describe the term definition
The most appropriate description ascribed to the meaning of definition from the options given is ; A precise statement of the qualities of an idea, object or process.
Definition refers to a description which is given to a word, idea or phenomenon such that it encompasses the actual characteristics and meaning of such phenomenon. Logical meaning, assumptions or unofficial descriptions cannot be taken to be the definition of a phenomenon.Therefore, since the definition ascribed to a process or phenomenon as to be original and precise, then the most appropriate statement is the option C.
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On Election Day, the temperature was 56°F in Durkeeville. Over in Tindertown, the temperature was 48°F. What was the difference in temperature between the two places?
Answer:
The difference is 8 F
Step-by-step explanation:
The difference means subtract
56-48 = 8
The difference is 8 F
Which shows how to solve the equation 3/4x=6 for x in one step?
Well going off what I know (you don't have the equations up)
You have to isolate x
3/4x = 6
(4) 3/4x = 6 *multiplying by 4 cancels the fraction.
3x = 24
Divide by 3
X = 6
Answer:
[tex]x = 8[/tex]
Step-by-step explanation:
Let multiply each side by 4/3:
[tex]\frac{4}{3}\cdot \frac{3}{4} \cdot x = 6\cdot \frac{4}{3}[/tex]
[tex]x = 8[/tex]