Answer:
exact form: -28/8
decimal form: -3.625
mixed number form: -3 5/8
Answer:
x = -3.625
Step-by-step explanation:
Choose the correct pair of expressions to complete the solution of Sine (x + StartFraction 3 pi Over 2 EndFraction) = negative StartFraction StartRoot 3 EndRoot Over 2 EndFraction, left-bracket 0, 2 pi right-bracket : blank times 0 + cosine x times blank minus StartFraction StartRoot 3 EndRoot Over 2 EndFraction:
cos x, 0
–sin x, –1
sin x, –1
–cos x, 0
Answer: C, sin(x), -1
Step-by-step explanation:
Edge;)
Answer:
C
Step-by-step explanation:
just took test :)
Convert the following fractions to equivalent fractions?
Find the equation of the circle that has a diameter with endpoints (-4,8) and (4,-4)
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First we need to find the distance between two points which is the diameter of the circle .
_________________________________
Suppose :
a = ( - 4 , 8 )
b = ( 4 , - 4 )
We have following equation to find the distance between two points.
[tex]distance = diameter = d[/tex]
[tex]d = \sqrt{ ( \: {y(b) - y(a)} \: )^{2} + ( \: {x(b) - x(a)} \: )^{2} } \\ [/tex]
Now just need to put the coordinates :
[tex]d = \sqrt{ ({ - 4 - 8})^{2} + ( \: {4 - ( - 4)} \: )^{2} } \\ [/tex]
[tex]d = \sqrt{ ({ - 12})^{2} + ({4 + 4})^{2} } [/tex]
[tex]d = \sqrt{ ({ - 12})^{2} + ({8})^{2} } [/tex]
[tex]d = \sqrt{144 + 64} [/tex]
[tex]d = \sqrt{208} [/tex]
[tex]d = \sqrt{4 \times 52} [/tex]
[tex]d = \sqrt{4 \times 4 \times 13} [/tex]
[tex]d = \sqrt{ {4}^{2} \times 13 } [/tex]
[tex]d = 4 \sqrt{13} [/tex]
This is the diameter of the circle.
We know that :
[tex]diameter = 2 \times radius[/tex]
So :
[tex]4 \sqrt{13} = 2 \times radius[/tex]
Divide sides by 2
[tex] \frac{4 \sqrt{13} }{2} = \frac{2 \times radius}{2} \\ [/tex]
[tex]2 \sqrt{13} = radius[/tex]
Remember it.
_________________________________
To find the equation of the circle except the radius , we need the coordinates of the centre.
The midpoint of the diameter is the centre of the circle .
So we have to find the midpoint of the diameter .
Look :
[tex]midpoint = center = o[/tex]
[tex]o = ( \: \frac{x(a) + x(b)}{2} \: , \: \frac{y(a) + y(b)}{2} \: ) \\ [/tex]
[tex]o = ( \: \frac{ - 4 + 4}{2} \: , \: \frac{8 - 4}{2} ) \\ [/tex]
[tex]o = ( \: \frac{0}{2} \: , \: \frac{4}{2} \: ) \\ [/tex]
[tex]o = ( \: 0 \: , \: 2 \: )[/tex]
This the coordinates of the centre.
_________________________________
Equation of the circle has a form like this :
[tex]( {x - m})^{2} + ({y - n})^{2} = {r}^{2} [/tex]
In which :
[tex]m = x - coordinate \: \: of \: \: the \: \: center \\ [/tex]
[tex]n = y - coordinate \: \: of \: \: the \: \: center \\ [/tex]
[tex]r = radius[/tex]
_________________________________
[tex]o = ( \: 0 \: , \: 2 \: )[/tex]
[tex]radius = 2 \sqrt{13} [/tex]
Thus :
[tex] ({x - 0})^{2} + ({y - 2})^{2} = ({2 \sqrt{13} })^{2} \\ [/tex]
[tex] {x}^{2} + ({y - 2})^{2} = 4 \times 13[/tex]
[tex] {x}^{2} + ({y - 2})^{2} = 52 [/tex]
This is the equation of the circle .
And we're done....
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Find the slope of the line that passes through (40,3000) and (60, 4000).
Answer:
[tex]m=50[/tex]
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (40, 3000)
Point (60, 4000)
Step 2: Find slope m
Substitute: [tex]m=\frac{4000-3000}{60-40}[/tex]Subtract: [tex]m=\frac{1000}{20}[/tex]Divide: [tex]m=50[/tex]A beach is 2 3/5 miles long. Pets are allowed on 1/3 of the beach. How many miles of beach are pets allowed?
Answer:
13/15 of 1 mile, or 0.86666 miles
Step-by-step explanation:
If you are working with fractions, you can take the 2 3/5 miles of beach and convert that to 13/5 (10/5 = 2, then add the 3/5 = 10/5+3/5 = 13/5). Once converted, you can find out how much of that number allows pets by dividing that number by 3, or multiplying the result by 1/3.
13/5 * 1/3 = 13/15.
Another way to do this is to convert the original miles (2 3/5) to a decimal, which gives you 2.6 miles. Then take the 2.6 miles and again, either divide by 3 or multiply by 1/3 (which is basically the same thing). 2.6 ÷ 3 = 0.86666
Hope this helps!
"X is the number of red marbles that Tonya has in her hand after she selects four marbles from a bag containing four red marbles and two green ones and then notes how many there are of each color."
Answer:
Explained below.
Step-by-step explanation:
There are four red marbles (R) and two green marbles (G) in the bag.
The random variable X is defined as the number of red marbles that Tonya has in her hand after she selects four marbles from the bag.
The probability of selecting a red marble is:
[tex]P(X)=\frac{4}{6}=0.667[/tex]
The sample space of X can be defined as follows:
Outcomes: {(RGGG), (RRGG), (RRRG), (RRRR), (RRGR), (RGRR), (GRRR), (RGRG), (GRRG), (RGGR), (GRGR), (GRGG), (GGRG), (GGGR), (GGGG)}
So, the sample space of X is:
S = {0, 1, 2, 3 and 4}
Work out the percentage change to 2 decimal places when a price of £12 is increased to £15.99. Work out the percentage change to 2 decimal places when a price of £12 is increased to £15.99.
Answer:
[tex]\%Increase = 33.25\%[/tex]
Step-by-step explanation:
Given
Initial = 12
Final = 15.99
Required
Determine the percentage increment
This is calculated as thus:
[tex]\%Increase = \frac{Final - Initial}{Initial} * 100\%[/tex]
Substitute values for Initial and Final
[tex]\%Increase = \frac{15.99 - 12}{12} * 100\%[/tex]
[tex]\%Increase = \frac{3.99}{12} * 100\%[/tex]
[tex]\%Increase = \frac{3.99* 100\%}{12}[/tex]
[tex]\%Increase = \frac{399\%}{12}[/tex]
[tex]\%Increase = 33.25\%[/tex]
Hence, the percentage increment is 33.25%
Michael is saving to buy a car. He has 2/5 what he needs to buy the car. His savings account has a balance of $ 1000. How much does the car cost? How much more does he need to SAVE?
2500
1,000 divided by 2/5 is 2,500
There are 52 students in the seventh grade. If 25% are absent on a particular day, find the number of students present in the grade.
write slope form of lines satisfying the given coditions then use the point slope form of the eqation to write the slope intercept form of the equation slope = 4, passsing through (-3,9)
Here is how to find the equation of the line using point-slope form
Formula for the equation of a line in point-slope form: y - y₁ = m(x - x₁)
Now that we have the formula, we plug in what we are given.
y - 9 = 4(x + 3)
We can covert this into slope-intercept form by solving for y.
[tex]y - 9 = 4(x + 3)\\\\y - 9 = 4x + 12\\\\y = 4x + 21[/tex]
Our equation for this line is: y = 4x + 21.
We can prove this by graphing the line, like so:
please help me solve this problem
Answer:
C (10×4) ÷ 2
Step-by-step explanation:
C is the answer because if you do an equation,
10 multiplied by 4 (10×4)
Then, she wants to share the dolls equally for her brother
This means that you have to multi[ly 4 by 10, so you get 40. If she shares the dolls equally with her brother, she will give him 20 and keep 20 for herself.
C provides the correct answer with 20. 40/2 is 20
Suppose you have a $3-off coupon at a fabric store. You buy fabric that costs $9.50 per yard. Write an equation that models the total amount of money y you pay if you buy x yards of fabric. What is the graph of the equation?
6th grade math I mark as brainliest
Answer:
you should put true
Answer:
true
Step-by-step explanation:
5 × 5 × 5 = 5 ^3
pleaseee help meeeeee
Answer: true
Step-by-step explanation:
The x column does not have any repeats
Answer:
False!
Step-by-step explanation:
It looks true until the last row. The first 4 rows, if you multiply the # of trees by 13, you get the # of apples. But, in the last row, 12 x 13 is 156, and the table says 146.
Solve for x PLS HELP NOW
Answer:
[tex]x=70[/tex]
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
[tex]\frac{0.35}{\frac{2}{3}x } =\frac{0.45}{x-10}[/tex]
Step 2: Solve for x
Cross-multiply: [tex]0.35(x-10)=\frac{2}{3} x \cdot 0.45[/tex]Distribute 0.35: [tex]0.35x - 3.5=\frac{2}{3} x \cdot 0.45[/tex]Multiply: [tex]0.35x - 3.5=0.3x[/tex]Isolate x term: [tex]-3.5=-0.05x[/tex]Isolate x: [tex]70=x[/tex]Rewrite: [tex]x=70[/tex]Step 3: Check
Plug in x to verify it's a solution.
Substitute: [tex]\frac{0.35}{\frac{2}{3}(70) } =\frac{0.45}{70-10}[/tex]Multiply: [tex]\frac{0.35}{\frac{140}{3} } =\frac{0.45}{70-10}[/tex]Subtract: [tex]\frac{0.35}{\frac{140}{3} } =\frac{0.45}{60}[/tex]Evaluate: [tex]0.0075=0.0075[/tex]Answer:
70
Step-by-step explanation:
Cross multiply. 0.3x=0.35x-3.5. Subtract 0.35x to get -0.05x=-3.5. Multiply by -1 to get 0.05x=3.5. And (5/100)x=7/2. Divide by 5/100 to get 700/10=70.
Question 6 of 10
In which form is the following function written?
y= -2(x - 3)(x + 5)
___ form.
Answer:
Root form
Step-by-step explanation:
If this is precalculus or Algebra 2, then this should be root form
Answer:
factorised form
A point is randomly chosen in the circle shown below.
In which region of the circle is the point certain to be chosen?
in region A
in regions C or D
in region E
in a region with a letter
Answer: in a region with a letter
Step-by-step explanation:
we cannot predict for sure what will happen when we plot the random point.
Answer:
A certain answer would be in a region with a letter
Step-by-step explanation:
All the sections have letters so, no matter what letter, the point would land in a section with a letter.
Write the cubic polynomial function f(x)in expanded form with zeros −6, −4,and −1,given that f(−2)=−32.
Answer:
[tex]f(x)=4x^3+44x^2+136x+96[/tex]
Step-by-step explanation:
Polynomials
It's possible to build a polynomial function by knowing its zeros and leading coefficient.
Given the zeros of a third-degree polynomial: x=x1, x=x2, and x=x3, the function is:
[tex]f(x)=a(x-x_1)(x-x_2)(x-x_3)[/tex]
Where a is the leading coefficient.
We are given the zeros -6, -4, and -1, thus:
[tex]f(x)=a(x+6)(x+4)(x+1)[/tex]
The value of a can be calculated by substituting the point (-2,-32):
[tex]a(-2+6)(-2+4)(-2+1)=-32[/tex]
Calculating:
[tex]a(4)(2)(-1)=-32[/tex]
[tex]-8a=-32[/tex]
Dividing by -8:
[tex]a = -32/(-8) =4[/tex]
a = 4.
The polynomial is now complete:
[tex]f(x)=4(x+6)(x+4)(x+1)[/tex]
Operating:
[tex]f(x)=4(x^2+10x+24)(x+1)[/tex]
[tex]f(x)=4(x^3+11x^2+34x+24)[/tex]
[tex]\mathbf{f(x)=4x^3+44x^2+136x+96}[/tex]
What is the unit rate of 25 rulers in 5 groups
A committee of size 5 is to be selected at random from 3 women and 5 men. The probability distribution for the number of women on the committee is normal.
No
Yes
May be
None of the above
Answer:
no
Step-by-step explanation:
Jason purchased a pack of game cards that was on sale for 13% off. The sales tax in his country is 8%. Let y represent the original price of the cards. Write an expression that can be used to determine the final cost of the cards.
Answer: The correct option is option (B) 1.08(0.87y).
Step-by-step explanation:
The answer is B
100% - 13% = 87% or .87
Tax is 8% or .08
Total cost would be 1 + .08 x .87
or 1.08(0.87y)
Find the measures (2x+16)(x+23)
Answer:
I have negative points I need this
Step-by-step explanation:
Successive discounts of 20% and 10% are taken on an item priced at $16. Describe how to find the sale price of the item
and give the sale price.
Answer:
$11.52
Step-by-step explanation:
16 * .2 = 3.2
16 - 3.2 = 12.8
12.8 * .1 = 1.28
12.8 - 1.28 = $11.52
Take the given amount and take 20% off using the first 2 solutions, then take the "successive" discount of 10% using the second 2 solutions to get the final sale price
Which represents the solution set of the inequality 5x-921
2+2=22? is this the corect awnser
Answer:
I think 2+2=4
Step-by-step explanation:
20+2=22 tho
Answer: no
Step-by-step explanation:
2+2= 4
20+2=22
But u can’t get put 2+2 and say 22. Unless it’s 11(2) =22
Stephanie also is 2/5 m Ike’s in 1/4 hour. What is her speed in mikes per hour?
Answer:
1.6 m/hr
Step-by-step explanation:
(Time) 1/4 of an hour = .25 or 15 mins
Distance = 2/5 mile or .40
Speed = distance / time
Speed = .40 / .25
Speed = 1.6 m/hr
Answer:
1 3/5 or 1.6 mph
Step-by-step explanation:
2/5 of a mile = 0.4 miles
0.4 x 4 = 1.6 or 1 3/5 (you get the 4 from multiplying 1/4 of an hour by 4 to get one hour)
According to the Truth in Lending Act, which of the following is the bank NOT
obligated to inform you of?
A. Interest calculating method
B. Maximum finance charge
C. Annual fee amount
D. APR
According to the Truth in Lending Act, which of the following is the bank NOT obligated to inform you of is: A. Interest calculating method.
What is Truth in lending Acts?Truth in lending acts is an acts that enables lenders to disclose in utmost truth the terms and condition of the loans they offers including all the important or necessary information that a borrower is expected to know.
The truth in lending acts obligate banks or lenders to inform their borrowers about the following:
Maximum finance chargeAnnual fee amountAnnual percentage rate (APR)Therefore the correct option is A.
Learn more about Truth in lending acts here:https://brainly.com/question/2492099
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I WILL MARK YOU BRAINLEST I PROMISE PLS HELP!!
Answer:
January
Step-by-step explanation:
6/8 reduced to the lowest term
Answer:
3/4
Step-by-step explanation:
Answer:
3/4
Step-by-step explanation:
both the numerator and denominator can be divided by 2
6/2=3
8/2=4
so 6/8 in lowest terms is 3/4
Draw a number line model to determinen -2 +8
Answer:
the answer of that would be 6