Answer:
Step-by-step explanation:
-2/3x ≥ -x -2
-2/3x ≥ -x -2 +x
Simplify
1/3x ≥ -2
3 · 1/3x ≥ 3(-2)
x ≥ -6
I hope this is correct
I need help fast! What is the square root of 9x^12? And 18x^7? And 25x^18 y^14? And 50x^9 y^19? Sorry I know it's a lot but I need it quick!
Answer:
Answer:
The principal, real, root of:
9–√2
=3
All roots:
3
−3
9 is a perfect square
Answer:
The principal, real, root of:
25−−√2
=5
All roots:
5
−5
25 is a perfect square
Step-by-step explanation:
the first one is for the 9 and the second one is for the 50
The Science Club went on a field trip. The members paid $60 for transportation plus $15 per ticket to the planetarium.
Choose an expression to represent the total cost for n members of the club.
Answer:
60 +(n x 15) = total cost
Step-by-step explanation:
Consider the line shown on the graph. Enter the
equation of the line in the form y = mx + b where m is
the slope and b is the y-intercept.
y=
From the graph, we concluded that line passes through the points (0, 3) and (1, 4) respectively.
So, slope of the line (m) passing through the points (a, b) and (c, d) is
m = d - b/ c - a
So, on substituting the values, we getm = 4 - 3 / 1 - 0 = 1/1 = 1
Also, line makes an intercept of 3 units in positive direction of y - axis.
So, c = 3
So, Equation of line is given byy = mx + c
y = 1 × x + 3
y = x + 3Alternative Method :-We know, Equation of line passing through the points (a,b) and (c, d) is given by
y - b = d - b / c - a (x - a)
Here,a = 0
b = 3
c = 1
d = 4
So, on substituting these values in above result, we get :-y - 3 = 4 - 3 /1 - 0 ( x - 0 )
y - 3 = 1/1 ( x - 0 )
y - 3 = x
y = x + 3Different forms of equations of a straight line :-1. Equations of horizontal and vertical lines
Equation of line parallel to x - axis passes through the point (a, b) is y = b.
Equation of line parallel to y - axis passes through the point (a, b) is x = a.
2. Point-slope form equation of lineEquation of line passing through the point (a, b) having slope m isy - b = m(x - a)
3. Slope-intercept form equation of lineEquation of line which makes an intercept of c units on y axis and having slope m is y = mx + c.
4. Intercept Form of LineEquation of line which makes an intercept of a and b units on x - axis and y axis respectively is x/a + y/b = 1.
5. Normal form of LineEquation of line which is at a distance of p units from the origin and perpendicular makes an angle B with the positive X-axis is x cosB + y sinB = p.
based on the reference sample, what is the random match probability for the evidence sample at the fga locus?
There is a 0.06% chance that a randomly selected individual from the population would have the same genotype as the evidence sample at the FGA locus.
As a forensic scientist, one of your important tasks is to determine the likelihood that a particular piece of evidence matches a specific individual.
To determine the random match probability for the evidence sample at the FGA locus, you will need to compare it to the reference sample. The reference sample is typically obtained from a suspect or a known individual who is not a suspect in the crime. The reference sample for the FGA locus has a genotype of 16,17.
The random match probability is the probability that a randomly selected individual from the population would have the same genotype at a specific locus as the evidence sample. To calculate this probability, you will need to use the allele frequency of the FGA locus in the population. This frequency is typically obtained from a large database of individuals.
Let's assume that the allele frequency for the FGA locus is 0.03 for the 16 allele and 0.02 for the 17 allele. To calculate the random match probability, you will need to multiply these two frequencies together since the evidence sample has both alleles present. This gives us a probability of 0.0006 or 0.06%.
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Complete Question:
You are a forensic scientist and you are able to obtain the following 3 CODIS STR genotypes from an evidence sample found at a crime scene:
Locus Evidence Genotype
D55818 6,10
FGA 16,17
VWA 11,12
Based on the reference sample, what is the random match probability for the evidence sample at the FGA locus?
Can someone help me please. It’s 7.2 Extra Practice it’s geometry
Thus, the values of values of variable x and y using the property of parallelogram is found as: x = 11 and y =32.
Explain about the features of parallelogram?A parallelogram is a plain shape having four parallel, straight sides that are congruent sides with one another. Therefore, a parallelogram is a closed shape, a flat figure, and a quadrilateral.
One of its distinguishing characteristics—two sets of parallel, opposing sides—is implied by the name "parallelogram."
Rhombus: A parallelogram having four congruent sides (also known as a diamond, rhomb, or lozenge).A parallelogram comprising four identical inner angles is called a rectangle.Four congruent sides as well as four congruent inner angles define a square, a parallelogram.Using the property of equal opposite side.
124 = 4(y - 1)
124 = 4y - 4
4y = 124 + 4
4y = 128
y = 128/4 = 32
Now,
3x + 10 = 43
3x = 43 - 10
x = 33/3
x = 11
Thus, the values of values of variable x and y using the property of parallelogram is found as: x = 11 and y =32.
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Correct question:
In the given figure of question 1. Find the values of values of variable x and y.
Simply then factor the expression 10W-2(3W+4)+4
Answer:
6(w +2)
Step-by-step explanation:
Factorize the expression:
Multiply each term of (3w + 4) by 4. Then add the constants.
2(3w + 4) + 4 = 2*3w + 2*4 + 4
= 6w + 8 + 4
= 6w + 12
Now, GCF (greatest common factor) of 6w and 12 is 6.
= 6*w + 6*2
= 6(w + 2)
Find the present value of $5,325 to be received in one period if the rate is 6.5%: Select one: a. 5,644 b. 5,671 c. 5,023 d. 5,000
The correct option of the given statement "The present value of $5,325 to be received in one period at a rate of 6.5%" is d. 5,000.
it can be found using the formula:
PV = FV/(1 + r),
where
PV is the present value,
FV is the future value,
and r is the interest rate expressed as a decimal.
Here, FV = $5,325 and r = 0.065 (6.5% expressed as a decimal).
Substituting these values into the formula gives:
PV = $5,325/(1 + 0.065)PV
= $5,325/1.065PV
≈ $5,000
Therefore, the present value of $5,325 to be received in one period if the rate is 6.5% is approximately $5,000.
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which set is closed under multiplication? select the correct answer below: {...,−2,−1,0,1,...} {−2,−1,0,1,...} {−2,−1,0,1} none of the sets.
Express the ratio as a fraction in simplest form. 10 yards to 10 feet
Answer:
3:1 should be the ratio.
Step-by-step explanation:
( please answer fast I rlly need it will get 20 points) Use the order of operations to evaluate the expression 8 + 18 ÷ 3 – 7.
5
7
9
10
Answer:
7
Step-by-step explanation:
Evaluate the expression:
\(8+18\div 3 - 7\)
Divide 18 and 3.
\(8+6-7\)
Add 8 and 6
\(14-7\)
Subtract 14 and 7
\(7\)
how many pattern block triangles would i need to make 4 hexagons
Answer:
4 hexagons * 6 equilateral triangles per hexagon = 24 equilateral triangles
Step-by-step explanation:
Pattern blocks are a set of geometric shapes commonly used in math education. The set typically includes six different shapes: triangle, rhombus, trapezoid, hexagon, square, and equilateral triangle. Each hexagon in a pattern block set is made up of six equilateral triangles.
To make 4 hexagons using pattern blocks, we would need to calculate the total number of equilateral triangles required. Since each hexagon is made up of 6 equilateral triangles, we can multiply the number of hexagons by 6 to get the total number of equilateral triangles needed.
4 hexagons * 6 equilateral triangles per hexagon = 24 equilateral triangles
So, you would need 24 pattern block triangles to make 4 hexagons using pattern blocks.
Answer:
Let's use pattern blocks to visualize the situation and say that a hexagon is 1 whole. Since 3 rhombuses make a hexagon, 1 rhombus represents and 2 rhombuses represent . We can see that 6 pairs of rhombuses make 4 hexagons, so there are 6 groups of in 4.
Sam is ordering shirts online. The shipping is a flat rate of $5.99, and each shirts costs $12.50. He spent $80.99 in total. How many shirts did he order
Based on the shipping rate and the price of the t-shirts, it can be concluded Sam ordered a total of 6 t-shirts.
What equation represents Sam's situation?5.99 + x12.50 = 80.99
x represents the number of t-shirts she bough, which is the focus of the equation.
Let's solve it:
5.99 + x12.50 = 80.99x12.50 = 80.99 - 5.99x12.50 = 75x = 75 / 12.50x = 6How many t-shirts did Sam order?Sam ordered 6 t-shirts.
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Pls do it 30 points...pls pls ps
Answer:
All you have to do is image flipping the triangle on the right over and then you'll see they are equal. You can also look at AB and DE and see they both are right angles.
Step-by-step explanation:
I need HELP please and thank you
Answer:
73.5
Step-by-step explanation:
Using the three parallel lines theorem, it divides the transversal that cut the parallel.
We are going to set up a proportion of
\( \frac{distance \: of \: lot}{property \: length} = \frac{width \: of \: lot}{emtire \: lake} \)
For lot
For lot C, the distance of the lot is x since we dont know, The property length is 212, the with of the lot is 69 and the length of the lake is 199.
\( \frac{x}{212} = \frac{69}{199} \)
the answer is 73.5
Use the drawing tool(s) to form the correct answer on the provided number line. Will brought a 144-ounce cooler filled with water to soccer practice. He used 16 ounces from the cooler to fill his water bottle. He then took out 16 plastic cups for his teammates and put the same amount of water in each cup. Find and graph the number of ounces of water, x, that Will could have put in each cup.
According to the information, we can infer that the number of ounces of water, x, that Will could have put in each cup is 8 ounces.
What is the number of ounces of water "x" that Will could have put in each cup?Will initially had a cooler filled with 144 ounces of water. After using 16 ounces to fill his water bottle, there were 144 - 16 = 128 ounces of water remaining in the cooler.
Will then took out 16 plastic cups for his teammates. Since the same amount of water was put in each cup, the remaining amount of water, 128 ounces, needs to be divided equally among the cups.
Dividing 128 ounces by 16 cups gives us 8 ounces of water for each cup.
So, Will could have put 8 ounces of water in each cup.
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A stairway handrail has a rise of 12 feet and a run of 24 feet. What is the slope of the handrail?
Answer:
1/2
Step-by-step explanation:
12 / 24 = 1/2
Answer:
12/24
Step-by-step explanation:
use the stander rise over run since the rise is 12 it goes over the run which is 24
Given mn, find the value of x.
(6x+8)⁰
(7x-7)
The value of x when m and n are parallel lines will be 15.
According to the question,
We have the following information:
The complete question is that m and n are parallel lines and (6x+8) and (7x-7) are congruent angles.
(6x+8 is alternate interior angle.)
We know that the congruent angles are equal.
So, we have the following expression:
6x+8 = 7x-7
Now, subtracting 6x from both the sides:
8 = 7x-6x-7
8 = x-7
Adding 7 on both sides of the equation:
8+7 = x
x = 15
Hence, the value of x when m and n are parallel lines is 15.
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6) Find b(10) in the sequence given by b(n) = -5 + 9(n-1).
b(10) =?
Answer:
76
Step-by-step explanation:
1. Replace n with 10. The equation will look like:
-5+9(10-1)
2. Remember PEMDAS! The first step in solving the equation is solving whatever is in the parenthesis:
-5+9(9)
3. The next step is exponents, but since there aren't exponents in the equation, we move to multiplication and division. The equation should now look like this:
-5+81
4. Now we move on to addition and subtraction; add the two numbers!
-5+81=76
There's your answer!! Hope this helped :)
9. a plane flies from base camp to lake a, 280 km away, in a direction of 200 north of east. after dropping off supplies it flies to lake b, which is 190 km at 30 0 west of north from lake a. graphically and check using trig, determine the distance and direction from lake b to camp.
The distance from lake b to camp is 310 km and the direction of lake b to camp is 57° S of W.
Distance is a numerical value. The length between the two points is measured by distance. The face or position of an object or person can be said by direction.
There are four cardinal directions which are the main four compass directions. The four directions are North, East, West and South. North-East, North-West, South-East and South-West also come under directions.
As per the question,
Distance from base camp to lake a = 280 kmThe direction of the plane = 20.0° north of east Distance to lake b = 190 kmThe direction of the plane = 30.0° west of northWith a scale of unit 1, the vector from the base camp to the lake to the vector connecting lakes a and b is graphically represented.
Therefore, 310 km is the distance from the lake b to base camp and 57.0° south of west is the direction of the plane.
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2) the labor force participation rate is the number of people in the labor force divided by the number of people in the country who are of working age and not institutionalized. the bls reported in february 2012 that the labor force participation rate in the united states was 66.9% (calculatedrisk). a marketing company asks 120 working-age people if they either have a job or are looking for a job, or, in other words, whether they are in the labor force. what are the expected value and the standard error for a labor participation rate in the company's sample?
The expected value and the standard error for a labor participation rate in the company's sample is 0.0043
In the given question, the labor force participation rate is the number of people in the labor force divided by the number of people in the country who are of working age and not institutionalized.
The BLS reported in February 2012 that the labor force participation rate in the united states was 66.9% (calculate risk).
A marketing company asks 120 working-age people if they either have a job or are looking for a job, or the labor force.
We have to find the expected value and the standard error for a labor participation rate in the company's sample.
Working age people sample n = 120
The labor force participation rate in the United States was 66.9% = 0.669
The Expected value is μ = p = 0.669
The standard error:
SE = √p(1-p)/n
SE = √0.669(1-0.669)/120
SE = √0.669*0.331/120
SE = √0.2214/120
SE = √0.001845
SE = 0.043
Hence, the expected value and the standard error for a labor participation rate in the company's sample is 0.0043.
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help me
I need someone..
plsss..
#15 Please HELP!!!!!!!!!!!!!!!
The calculated measure of the arc PM is 19 degrees
Calculating the measures of the arc PMFrom the question, we have the following parameters that can be used in our computation:
The circle
The angles created by secants and tangents that intersect outside a circle, which states that
The size of the angle formed by these two lines is equivalent to half the numerical difference between the measures of the arcs that they cut out from the circle.
So, we have
PM = 1/2 * (59 - 21)
Evaluate
PM = 19
Hence, the measure of the arc is 19 degrees
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Jessica is eating a bag of Sour Skittles. Her friend asks her to share, and Jessica throws over an extra bag. Her friend does not catch the bag, and it hits the ground. The distance from the ground (height) for the bag of candies is modeled by the function h(t)=−16t2+32t+4h(t)=−16t
2
+32t+4, where h(t) is the height (distance from the ground in feet) of the candies and t is the number of seconds the candies are in the air. Describe in a paragraph what the graph of this scenario would look like.
Answer:
A parabola opens downward with vertex at (1,20)
The function that models the height of bag of candies is
The graph of this function is a parabola that opens downward.
To find the maximum height of the candy bag, we complete the squares to obtain the vertex form of the function.
Factor -16 to get;
Add and subtract the square of half the coefficient of t.
Factor the perfect square trinomial:
The vertex is (1,20)
This means the maximum height after 1 second is 20 feet.
Is it wrong to split an infinitive?
A word is put between to and the verb while splitting an infinitive. In terms of grammar, splitting an infinitive is acceptable.
In other cases, it might even be more logical to do so. An infinitive is a verb's to form, such as "to go" or "to be."
When it is said that infinitives should never be split, it means an adverb should never come before the verb in the sentence "to confidently proceed."
As we know split infinitive is one in which the word "to" and the verb in the base (infinitive) form of the verb are separated by one or more words.
Adverbs are the words that split infinitives the most frequently.
Example,
Jacob went to band practice and came home with a sunburn.Lucas makes it a habit to only watch the stunts the skateboarders did.To learn more about infinitives
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the cost of a shirt is $72 find the cost of 12 shirts.
\(72\)
Answer:
$864
Step-by-step explanation:
$72 per shirt, so for 12 shirts:
\(72 * 12 = $864\)
the cost is $864
Need help C) Using the information in the previous step, list the point(s) on the graph of f, where x=1.
Step 1
Given;
Required; To find f(x) if x=1
Step 2
A) Substitute x=1 in f(x)
\(f(1)=\frac{1+6}{1-2}=\frac{7}{-1}=-7\)Answer;
\(If\text{ x= 1, then f\lparen x\rparen=-7}\)Step 3
C) Using the information in the previous step, list the point(s) on the graph of f, where x=1.
\(The\text{ points on f\lparen x\rparen where x=1 is \lparen1,-7\rparen}\)Answers;
\(\begin{gathered} A)\text{ If x=1, f\lparen x\rparen=-7} \\ B)\text{ The point is \lparen1,-7\rparen} \end{gathered}\)help pls area of base is 15.6 feet and 6ft and 7ft are the others
Answer:
655.2 feet (655 feet 213⁄32 inches)
Step-by-step explanation:
Mistaken giving brainliest!!! Tho
Answer:
Im not sure but i think its C
Step-by-step explanation:
If its wrong im so sorry TvT
PLEASE HELP :((((
What is the first step in evaluating the expression shown below?
88 (3.7 + 4.3) – 2 2.6
88(3.7+4.3)-2*2.6
88(8)-2*2.6
704-2*2.6
704-5.2
698.8
I hope it helps!
Please mark Brainliest if it does!:-)
a washing machine can hold 3/4 kg of laundry in each load. if randy has . 6 kilograms of laundry, how many loads does he need to do? 5 6 7 d8
Randy needs 8 loads.
To find the answer on the question we have to follow the method of multiplication and division .
A washing machine can hold \(\frac{3}{4}\) kg of laundry in each load.
\(\frac{3}{4}\) kg of laundry is equal to 1 load.
\(\frac{3}{4}\) kg of laundry = 1 load
1 kg of laundry = \(\frac{1 * 4}{3}\) load ( following the method of division )
1 kg of laundry = \(\frac{4}{3}\) load
Randy has 6kg of laundry.
So, 1kg of laundry i.e \(\frac{4}{3}\) load is to be multiplied by 6.
6kg of laundry = \(\frac{4 * 6}{3}\) load ( following the method of multiplication)
= 8 loads
Hence, Randy needs 8 loads.
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