Answer:
C.
Since the square root of 20 is around 4.5, we know that ≈4.5 is almost at the half mark between 4 and 5 on the number line.
If csc ( x ) = 4, for 90 ∘ < x < 180, then sin ( x /2 ) = ? cos ( x /2 ) = ? tan ( x/ 2 ) = ?
Answer:
see below
Step-by-step explanation:
cscx=4
sinx=1/4
cosx=-√(1-sin^2x)=-√(1-(1/16))=-√(15/16)=-√15/4
note: cos<0,sin>0 in quadrant II
sin(x/2)= [tex]\sqrt{\frac{1+cos(x)}{2} } =\sqrt\frac{1+\sqrt{\frac{15}{4} } }{2} =\sqrt{\frac{4+\sqrt{15} }{8} }[/tex]
cos(x/2)= [tex]\sqrt{\frac{1-cos(x)}{2} } =\sqrt{\frac{1-\sqrt{\frac{15}{4} } }{2} } =\sqrt{\frac{4-\sqrt{15} }{8} }[/tex]
tan(x/2)= [tex]\frac{sin(x)}{1-cos(x)} =\frac{\frac{1}{4} }{(1-\frac{\sqrt{15} }{4} )} =\frac{\frac{1}{4} }{\frac{4-\sqrt{15} }{4} } =\frac{1}{4-\sqrt{15} }[/tex]
Calculator check:
[tex]sinx=\frac{1}{4}[/tex]
[tex]x\neq 165.52[/tex]˚ in quadrant II
[tex]\frac{x}{2} \neq 82.76[/tex] ˚
sin(x/2)≈sin(82.76)≈0.9920..
exact value=√(4+√15)/8≈0.9920..
..
cos(x/2)≈cos(82.76)≈0.1260..
exact value=√(4-√15)/8≈0.1260..
..
tan(x/2)=tan(82.76)≈7.872..
exact value=1/(4-√15)≈7.872..
OLZ HELP ILL MARK AS BRAINLEST
Answer:
-2
Step-by-step explanation:
The slope is rise over run. If we look at the points we can see the rise is -2 and the run is 1. -2/1 = -2, so my answer is correct.
Answer:
Hi I’m the friend
Step-by-step explanation:
by the way I also need brainliest, so you get to choose who to mark as brainliest
Which is zero of the polynomial expression 7x+21
Consider the equation v+4+v=8. What is the resulting equation after the first step in the solution?
0v+4=8-v
Ov+4=8
04+v=8-v
O2v + 4 = 8
The resulting equation after the first step in the solution is:
2v + 4 = 8.
What is Equation?An equation is a mathematical statement that asserts the equality between two expressions. It typically contains one or more variables and may involve mathematical operations such as addition, subtraction, multiplication, division, or exponentiation.
we have the Equation v + 4 + v =8
Now, simplifying we get
2v + 4= 8
2v = 4
v =2
To obtain this equation, we combined the like terms "v" on the left side of the equation, which gives us 2v. The rest of the equation remains unchanged.
Therefore, the correct answer is : 2v + 4 = 8.
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solve these quetions......
Step-by-step explanation:
a.) 9
When you divide with a fraction you do the reciprocal of the fraction (basically flipping numerator and denominator) then multiplying (since the opposite of division is multiplication.
So if you flip
[tex]\frac{1}{9} [/tex]
It would be:
[tex] \frac{9}{1} [/tex]
9/1 is the same as 9 so:
1 times 9 = 9
b.) 15
Same thing like we did above, just do the reciprocal the multiply.
[tex] \frac{1}{5} [/tex]
Becomes
[tex] \frac{5}{1} [/tex]
5/1 is the same as 5.
3 times 5 = 15
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
here
Step-by-step explanation:
if you need more explanation comment on this
A can in the shape of a cylinder is filled 75% of the way with liquid. The can has a height of 10 cm and a radius of 2 cm. Please determine following:
Answer:
um..is this finished question ????
Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
h2 + 26h +
Using the standard format of a perfect-square quadratic sum, it is found that the value that completes the expression is 169.
What is the standard format of a perfect-square binomial sum?It is represented by:
(a + b)² = a² + 2ab + b².
In this problem, we have that the expression is:
a² + 2ab + b² = h² + 26 + b².
Hence a = 1, 2ab = 26 -> b = 13, thus the value that completes the expression is:
b² = 13² = 169.
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3.2] I can rearrange formulas to solve for a specified variable.
Solve for r.
h=r-m
Answer:
r = h + m
Step-by-step explanation:
h = r - m
Switch sides.
r - m = h
Add m to both sides.
r - m + m = h + m
Simplify the left side. -m + m = 0
r = h + m
What type of function is shown below?
y=6/19x
Answer:
That is a linear function
Step-by-step explanation:
A linear function is a function which forms a straight line in a graph. It is generally a polynomial function whose degree is utmost 1 or 0.
If you try to graph that function on a graphing calculator, you will get a straight line.
Therefore, it is a linear function.
mark brainliest please!
Answer:
I think it's a linear one(function)
y=6x÷19
5 - x divided by 3/4 x = 1/3
Answer:
x = 4
Step-by-step explanation:
(5-x) / (3/4x) = 1/3
multiply both sides by 3/4 x
5-x = 3/12 x add 'x' to both sides of the equation
5 = 15/12 x multiply both sides by 12/15
4 = x
friends needs this anwsered help
Answer:
3, 8, 14, 30, 58
Step-by-step explanation:
As with all formulas, put the numbers in place of the corresponding variables, and do the arithmetic.
[tex]a_1=3\qquad\text{given}\\\\a_2=8\qquad\text{given}\\\\a_3=2a_1+a_2=2(3)+8=14\\\\a_4=2a_2+a_3=2(8)+14=30\\\\a_5=2a_3+a_4=2(14)+30=58[/tex]
The first 5 terms of the sequence are 3, 8, 14, 30, 58.
n -1 1/2 for n= 1 1/7 cant figure this out
Answer:-5/14
Step-by-step explanation:
make then equal and insert N, 16/14-21/14=-5/14
Y=-3×-2 graph can someone please help me with this please
Answer:
6
Step-by-step explanation:
Negative ×negative always gives gives a positive
A sequence can be generated by using
an=an-1-5 where
a1 = 100 and n is a whole number greater
than 1.
(a) What are the first five terms in the sequence?
(b) Write an iterative rule for the sequence. Show your work
a) The first five terms in the sequence is 100, 95, 90, 85 and 80
b) The nth term of the sequence will be 100 + (n - 1)(5) = 5n + 95
Iterative rule for a sequenceSequences are set of values arranged in a particular order. Given the recursive formula for a sequence expressed as;
an=an-1-5
If the first term a1 = 100, then;
a2 = a1 - 5
a2 = 100 - 5
a2 = 95
For the third term
a3= a2 - 5
a3= 95 - 5
a3 = 90
The other two terms will be 85 and 80
a) The first five terms in the sequence is 100, 95, 90, 85 and 80
b) The nth term of the sequence will be 100 + (n - 1)(5) = 5n + 95
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Please help now, I will give Brainliest!!! :D
Peter is 19 years old. He lives at home with his parents and goes to college part time. He recently started working as a server, working 40 hours per week.
Where Peter lives, the minimum wage for tipped and non tipped employees is $7.25 per hour.
In the average week, he serves 90 tables whose typical bill is $21 with an average tip of 15%.
How much money does he make in a typical week??
Answer:
$573.50 per week
Step-by-step explanation:
wages = 40 hr/wk * 7.25 $/hr $290 per week
tips 90 tables * ( 21*.15) = 283.50
total 290 + 283.5 = 573.50
If an arithmetic sequence has a4 = 107 and a8 = 191, what is a₁?
PLEASE HELP ME
[tex]\text{nth term of an arithmetic sequence,}\\\\a_n = a_1 + (n-1)d\\\\a_4 = a_1 +3d=107~~~......(i)\\ \\a_8=a_1+7d = 191~~~......(ii)\\\\\\\text{(ii) -(i):}\\\\~~~~~~a_1+7d-a_1-3d = 191 -107\\\\\implies 4d = 84\\\\\implies d = \dfrac{84}4\\\\\implies d= 21\\\\\text{Substitute d= 21 in eq~(i):}\\ \\~~~~~ a_1 +3(21) = 107\\\\\implies a_1 + 63 = 107\\\\\implies a_1 = 107-63\\\\\implies a_1 =44[/tex]
Need Answer Please And thank you
Answer:
157.78
Step-by-step explanation:
Area of a trapezoid = ( sum of base lengths / 2 ) × height
the base lengths of the trapezoid shown are 8.7m and 16.3 + 7.2 = 23.5m
the height is 9.8m
so area = (( 8.7 + 23.5 ) / 2) × 9.8
==> add 8.7 and 23.5
area = (32.2 / 2) × 9.8
==> divide 32.2 by 2
area = 16.1 × 9.8
==> multiply 16.1 and 9.8
area = 157.78
Refer to attachment for question
Answer:
Below!
Step-by-step explanation:
Let the irrational number be known as "x".
[tex]\implies -\sqrt{41} \times x = 1[/tex]
Divide both sides by -√41.
[tex]\implies \dfrac{(-\sqrt{41} \times x)}{-\sqrt{41} } = \dfrac{1}{\sqrt{-41} }[/tex]
[tex]\implies x = \dfrac{1}{-\sqrt{41} }[/tex]
Take the "-" to the numerator:
[tex]\implies x = \dfrac{-1}{\sqrt{41} }[/tex]
Use parenthesis to isolate the "-"
[tex]\implies x = -\huge\text{(}\dfrac{1}{\sqrt{41} } \huge\text{)}[/tex]
Note: 1 can also be written as √1. (√1 = √1 × √1 = 1)
[tex]\implies {x = -\huge\text{(}\dfrac{\sqrt{1}}{\sqrt{41} }\huge\text{)}}[/tex]
Combine the roots in the equation:
[tex]\implies {x = -\huge\text{(}\sqrt{\dfrac{1}{41} }} \huge\text{)}}[/tex]
Remove the parenthesis:
[tex]\implies {x = -\sqrt{\dfrac{1}{41} }}[/tex]
Thus, Option C is correct.
-10x19=2x2 please do explanation
Answer:
x=0 or x=−95
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−190x=2x²
Step 2: Subtract 2x² from both sides.
−190x−2x²=2x²−2x²
−2x²−190x=0
Step 3: Factor left side of equation.
(−2x)(x+95)=0
Step 4: Set factors equal to 0.
−2x=0 or x+95=0
x=0 or x=−95
[tex]~~~~2x^2 =-10 \times 19\\\\\implies 2x^2 = -190\\\\\implies x^2 = -\dfrac{190}2\\\\\implies x^2 = -95\\\\\implies x = \pm\sqrt{-95}\\\\\implies x = \pm \sqrt{-1}\sqrt{95}\\\\\implies x = \pm i\sqrt{95}[/tex]
Suppose you want to accumulate $120,000 for your retirement in 30 years.
Consider these two plans:
Plan A: make a single deposit into an account with an annual compounding and an APR of 5%.
Plan B: Make a single deposit into an account with continuous compounding and an APR of 4.8% 
1.) how much do you need to deposit in each amount in order to reach the goal?
2.) calculate the current APR the compounding period, and the claimed APY for your personal savings account. (Or pick a rate from a nearby bank)
3.) calculate the APY on your account (or someone u know)
4.) Does your calculation agree with the APY claimed by the bank?
The amount that would be needed to be deposited in order to reach the goal is:
Plan A: $27,765.29.Plan B: $28,431.33Calculations and Parameters:Since Plan A compounds annually at an apr of 5%.
and plan B compounds continuously at an apr of 4.8%
PART AUsing the formula for annual compounding
[tex]f = p * (1+r)^n[/tex]
Where
f is the future value which is equal to 120,000p is the present value.r is the interest rate per time period.n is the number of time periods.Because the compounding is done annually, then the APR/100= 0.05
Also, because the time periods are annual, hence, the time periods would be equal to the number of years = 30.
Putting the values together:
120,000 = p * (1.05)^30.
divide both sides of this formula [tex](1.05)^3^0[/tex] to get:
[tex]120,000 / (1.05)^3^0[/tex] = p which makes p equal to $27,765.29.
PART BTo solve for the PART B answer
the formula for continuous compounding is:
[tex]f = p * e^(r*n)[/tex]
Where
r is the interest rate per time period which is in years.n is the number of time periods which is in years.The formula becomes:
[tex]120,000 = p * e^(.048 * 30).[/tex]
divide both sides of this equation by [tex]3^(.048 * 30)[/tex] to get:
[tex]120,000 / (e^(.048*30))[/tex] = p which makes p equal to $28,431.33.
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What is the value of the discriminant for the equation 0=2x^2+x-3?
Discriminant = b^2-4ac
A.-25
B.-23
C.25
D.26
Answer: 25
Step-by-step explanation: The quadratic equation may be expressed in a form, ax² + bx + c =0. From the given equation, a = 2, b = 1, and c = -3. Substituting these value to the equation of the discriminant (D).
D = b² - 4ac
D = 1² - (4)(2)(-3) = 25
Thus, the discriminant of the equation of 25.
p^2 + 3p - 18 is divided by p - 3.
Answer:
p + 6
Step-by-step explanation attached as image.
what is the median of 7,3,4,7,5,6,5,5,4
Your median is 5 because that is the number that is mentioned the most.
A median is a number that i said the most.
And in the pic your median is 7.
Hope this helps you :0
Solve the system using elimination.
4X +5Y = 22
X +3Y =0
Answer:
x = 3
y = -2
--------------------------------------------------------------------------------------------------------
4x + 5y = 2........i
2x + 3y = 0........ii
---------------------------------------------------------------------------------------------------------
Let's start by eliminating x, so we multiply i by 2 and ii by 4
2|4x + 5y = 2
4|2x + 3y = 0
So that we have
8x + 10y = 4..........iii
8x + 12y = 0..........iv
---------------------------------------------------------------------------------------------------
Subtracting iv from III, we have
-2y = 4
y = 4/-2
y = -2
---------------------------------------------------------------------------------------------------
Going ahead and substituting this value of y in eqn i, we have
4x + 5(-2) = 2
4x - 10 = 2
4x = 2 + 10
4x = 12
x = 12/4
x = 3
Step-by-step explanation: hope this helps, brainliest please <3
solve the following inequality
4x+15≥x+6
Answer:
[tex]\boxed{\sf{x\geq -3}}[/tex]Step-by-step explanation:
The following inequality can be solved by separating the term x from one side.
4x+15≥x+6
First, subtract by 15 from both sides.
4x+15-15≥x+6-15
Solve.
4x≥x-9
Then, you subtract by x from both sides.
4x-x≥x-9-x
Solve.
3x≥-9
Divide by 3 from both sides.
3x/3≥-9/3
Solve.
Divide the numbers from left to right.
-9/3=-3
[tex]\Longrightarrow: \boxed{\sf{x\geq -3}}[/tex]
Therefore, the correct answer is x≥-3.I hope this helps, let me know if you have any questions.
Answer:
x ≥ -3
Step-by-step explanation:
To determine the solution to the inequality, we need to isolate the variable and its coefficient on one side of the equation. Furthermore, isolate the variable by dividing the coefficient by both sides of the equation. The inequality obtained after doing these steps is the solution to the inequality.
Given inequality:
4x + 15 ≥ x + 6As said above, let's isolate "x" and it's coefficient on one side of the equation. This can be done by subtracting "x + 15" to both sides of the equation.
⇒ 4x + 15 - (x + 15) ≥ x + 6 - (x + 15)⇒ 4x + 15 - x - 15 ≥ x + 6 - x - 15⇒ 3x ≥ -9As said above, let's further isolate "x" by dividing the coefficient of "x" to both sides of the equation.
⇒ 3x/3 ≥ -9/3⇒ x ≥ -3Therefore, the solution is x ≥ -3.
Spring 22
What is the total weight of 12 basketballs that weigh 20 ounces each?
The total weight of the basketball is ?
Answer:
240
Step-by-step explanation:
The answer is 240. You have to multiply 20 times 12 since each basketball has an equivalent weight to the others. Hope this helps! :)
Answer:
1 ounce =28grams
Step-by-step explanation:
if 1 ounce=28grams
20ounce=20ounces x 28 grams
=560g
one ball weighs 560grams
4) What is the measure of angle MLO?
(Equilateral Triangle)
Answer:
m<MLO = 120°
Step-by-step explanation:
Equilateral Triangles have all 60° angles.
m<MLN = m<OLN = 60°
60°+60°=120°
Sanjay is planting a rectangular garden. He wants the length of his garden to be 12 feet. He wants the area to be at least 60 square feet. Which graph best shows all the possible widths, in feet, for his garden?
Answer:
The answer is b
Step-by-step explanation:
Answer: B
I had to help my brother with this
Anybody know the slope of the line is … Help
Answer: The slope is -1
Step-by-step explanation:
When you are given a line on a graph all you need to do is pick two points on the line and calculate the change over both the x and y-axis.
Pick both points to be at a position on the line that is easy to read. IE the intersection between two grid lines. For this problem lets go with the first point at (0,1) and the second point at (1,0).
Now we want to calculate the change in rise (the y-component) and divide by the change in the run (the x-component). Point 1 has a y-component of 1 and point 2 has a y-component of 0.
1 - 0 = 1 = rise
Point 1 has an x-component of 0 and point 2 has an x-component of 1.
0 - 1 = -1 = run
rise/run = 1/-1
Slope = -1