Answer:
A
Step-by-step explanation:
Note that
> means greater than
< means less than
≥ means greater than or equal to
≤ less than or equal to
for example : 2 < 3 means 2 is less than 3
3 >2 means 3 is greater than 2
Paula's 3 scores are greater than 15 and less than 26
p> 21 implies her score is greater than 21. this is wrong because there is a score of 15
How much of a radioactive kind of rhodium will be left after 120 seconds if the half-life is 30 seconds and you start with 480 grams?
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Answer:
30 grams
Step-by-step explanation:
The time 120 seconds is 4 times the half-life of 30 seconds. That means (1/2)^4 = 1/16 of the original amount will remain. That is (480 g)(1/16) = 30 g.
30 g of the radioactive rhodium will be left
Rhode Island Red chicks cost $3.20 each and Buckeye chicks cost $3.44 each.
A farmer buys 4 Rhode Island Red chicks for every 3 Buckeye chicks.
He buys 70 chicks in all. What is the total cost of the farmer's chicks?
Show your work
Answer:
Step-by-step explanation:
Rhode Island Red chicks = 3.20 Dollars
Buckeye chicks = 3.44 Dollars
For every3 times as 3.44 Dollars, The farmer buys 4 times as 3.20 Dollars so simply Multiply until you reach 70 S0..
3.44 x 3
= 10.32
3.20 x 4
= 12.8
With 7 chicks, combine the prices of the chicks and multiply it by 10.
= 12.8 + 10.32
= 23.12
= 23.12 x 10
= 231.2
So 231.2 Dollars were spent for 70 chicks`in total.
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The total cost of farmers' chicks is $231.2
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x = 5 is an equation.
We have,
Total chicks = 70
4 Rhode Island Red chicks = 3 Buckeye chicks.
Multiply 10 on both sides.
40 Rhode Island Red chicks = 30 Buckeye chicks.
We see that,
40 + 30 = 70
Now,
Rhode Island Red chicks cost = $3.20
Buckeye chicks cost = $3.44
Now,
= 40 x 3.20 + 30 x 3.44
= 128 + 103.2
= $231.2
Thus,
The total cost of farmers' chicks is $231.2
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If f(x) = 2x+1, what would the function look like once you substitute in a 1 to find f(1)?
Answer:
It would result in a constant line of [tex]y=3[/tex].
Step-by-step explanation:
[tex]f(x)=2x+1[/tex]
[tex]f(1)=2(1)+1[/tex]
[tex]f(1)=2+1[/tex]
[tex]f(1)=3[/tex]
[tex]y=3[/tex]
See the graph for a visual.
A number is multiplied by 8, and that product is added to 4. The sum is equal to the the product of 4 and 13. Find that number
Answer:
n = 6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify + set up
8n + 4 = 4 · 13
Step 2: Solve for x
Multiply: 8n + 4 = 52[Subtraction Property of Equality] Subtract 4 on both sides: 8n = 48[Division Property of Equality] Divide 8 on both sides: n = 6What is a polygon?
a. A closed plane figure made up of line segments
b. An open plane figure made up of line segments
c. A closed plane figure made up of rays
d. An open plane figure made up of rays
Answer:
A. A closed plane figure made up of line segments
Step-by-step explanation:
Answer:
A closed plane figure made up of line segments
2) There are 12 sweets in a bag.
4 are lemon flavour.
4 are caramel flavour.
4 are orange flavour.
Jude takes at random 3 sweets at the same time.
Work out the probability that exactly 2 of the sweets are the same flavour.
Answer:
0.654
Step-by-step explanation:
There are 12 sweets in a bag.
4 are lemon flavour.
4 are caramel flavour.
4 are orange flavour.
Jude takes at random 3 sweets at the same time.
Work out the probability that exactly 2 of the sweets are the same flavour.
Probability = Required outcome / Total possible outcomes
Required outcome = either exactly 2 of lemon or 2 of caramel or 2 of Orange
Required outcome = 3[4C2 * 8C1) = 3(6*8) = 144
Total possible outcomes = 12C3 = 220
P(exactly 2 are same flavor) = 144 / 220 = 0.654
Jenn determined that the graph of the quadratic funtion f(x) =x^2 -9 has two x-intercepts. do you agree with her? why or why not?
Answer:
Jenn is correct, as the function has two x-intercepts, at x = -3 and x = 3.
Step-by-step explanation:
x-intercepts of a function:
The x-intercepts of a function are the values of x for which f(x) = 0.
In this question:
[tex]f(x) = x^2 - 9[/tex]
x-intercepts:
[tex]x^2 - 9 = 0[/tex]
[tex]x^2 = 9[/tex]
[tex]x = \pm \sqrt{9}[/tex]
[tex]x = \pm 3[/tex]
Jenn:
Jenn is correct, as the function has two x-intercepts, at x = -3 and x = 3.
Write the ones digit of the squares of the following numbers. (a) 21287
7
___________________
Write the expression as a square of a binomial if possible
(1/2x +3)²
Refer to the above picture for complete calculation...
Answer:
Step-by-step explanation:
1/4 x^2 + 3x + 9
Answer: (1/2x + 3)^2
Now we have to explain it.
If it is going to be a binomial squared then it will be the square root of the first term and the square root of the third term.
[tex](\frac{\sqrt{1} }{\sqrt{4} } + \sqrt{9})^2[/tex]
[tex](\frac{1}{2}+3)^2[/tex]
Drag each tile to the correct box.
Arrange the numbers as they appear from left to right on a horizontal number line.
-2.5
-2.57
-1.85
2.5
-2.76
-1.58
2.85
I
Answer:
-2.76
-2.57
-2.5
-1.85
-1.58
2.5
2.85
Hopefully this is what you mean. Have a nice day!
Step-by-step explanation:
Some help? Like bro literally how?!
Answers:
[tex]\text{OA} = \cos(\alpha)\\\\\text{AB} = \sin(\alpha)\\\\\text{DC} = \tan(\alpha)\\\\[/tex]
You can use the word "alpha" without quotes in place of the symbol [tex]\alpha[/tex] if you want (though it will depend if your teacher allows it of course).
======================================================
Explanation:
Focus entirely on triangle AOB.
With respect to reference angle alpha (symbol [tex]\alpha[/tex]), the side OA is the adjacent side since it's the leg closest to or touching the reference angle.
In this same triangle, side OB is the hypotenuse. Because its the radius of the unit circle, we know that OB = 1.
We'll use the cosine rule to connect the adjacent over hypotenuse like so
[tex]\cos(\text{angle}) = \frac{\text{adjacent}}{\text{hypotenuse}}\\\\\cos(\alpha) = \frac{\text{OA}}{\text{OB}}\\\\\cos(\alpha) = \frac{\text{OA}}{1}\\\\\text{OA} = \cos(\alpha)\\\\[/tex]
So you'll type either [tex]\cos(\alpha)[/tex] or cos(alpha) into the box for OA.
----------------------------------------
We're still working with triangle AOB only.
Side AB is the opposite side with respect to reference angle alpha.
We can say
sin(angle) = opposite/hypotenuse
sin(alpha) = AB/OB
sin(alpha) = AB/1
AB = sin(alpha)
Basically it's almost identical to the previous section's steps, but we're using sine instead of cosine this time. Like before, you can type in either [tex]\sin(\alpha)[/tex] or sin(alpha) depending on your teacher's preferences.
----------------------------------------
This next section can be a bit tricky.
Sides AB and DC are parallel due to them being both vertical. We can use the AA (angle angle) similarity theorem to prove triangle BOA is similar to triangle DOC. The order of the letters is important. The order helps us see how the sides pair up, or how they correspond, so we can form the correct proportion.
The vertical sides of the triangles are AB and DC as mentioned earlier, so they form one fraction AB/DC. I'm dividing small over big.
Another fraction we can form is OA/OC which is dividing the horizontal legs (again small/big).
Overall, due to the similar triangles, we can set up this equation
AB/DC = OA/OC
We'll plug in what we found earlier. Also, OC = 1 because it's another radius of the same unit circle.
Lets solve for side DC.
AB/DC = OA/OC
sin(alpha)/DC= cos(alpha)/1
sin(alpha)*1 = DC*cos(alpha)
DC = sin(alpha)/cos(alpha)
DC = tan(alpha)
--------------------------------------
In summary, segments OA, AB and OC represent the cosine, sine and tangent of the reference angle alpha. These are visual ways to see how the trig ratios correspond to lengths of triangles when connecting them to the unit circle like this.
Side notes:
Point B is at the location (cos(alpha), sin(alpha)). Point D is at (1, tan(alpha)).Find the mean of the data in the bar chart below.
x2 + 5x + 9.
Find the equation of the axis of symmetry for the parabola y =
Answer:
x = -5/2
Step-by-step explanation:
From the quadratic equation
the axis of symmetry for quadratics of the form
y = ax² + bx + c is
x = -b/2a
x² + 5x + 9
x = -5/2
15
2 pts
Find the area of the given shape,
a) 18
b) 15
c) 24
d) 21
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Answer:
A. 18
Step-by-step explanation:
The area of a trapezoid is given by the formula ...
A = 1/2(b1 +b2)h
Here, the parallel bases have lengths 3 and 9. The height is 3, so the area is ...
A = 1/2(3 +9)(3) = 18
The area of the trapezoid is 18 square units.
If f and g are positive, (f+g)^2=54 and 2fg = 24, what is f^2+g^2?
Answer:
D. 30
Step-by-step explanation:
f²+g² = (f+g)²-2fg
= 54-24 = 30
For "downhill" lines, if the rise is negative, the run must be
?
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Answer:
positive
Step-by-step explanation:
When considering the slope of a line, we usually choose "rise" and "run" so that "run" is positive, and "rise" measures the vertical change as one moves from left to right.
If we assume that "downhill" lines refers to lines that go from upper left to lower right (downhill to the right), then the rise is negative while the run is positive.
__
Additional comment
Here, we assume a line is considered to be "downhill" if it has negative slope. In the real world, "downhill" is the direction the ball rolls under the influence of gravity. That direction might be behind you, or to your left, instead of in front of you or to the right.
Definitions are important in math. "Downhill" is not a term that is widely used to describe lines, so we have to guess the intended meaning here.
the following data represent the number of people aged 25-64 years covered by health insurance (private or government) in 2018. approximate the mean and standard deviation
Answer:
mean = find the total of people in such data by adding up all the totals of people represented by each age then divide that total by 2.
mean = with cumulative or frequency graphs if the numbers range individually like 25-30 and 30-35 etc and so on then you take the midpoint age and multiply it by the frequency number in new column add up both columns then divide by smaller total.
mean = histogram total number of data ie) from 270 people (80 x 0 = 0), (40 x 2 = 0) and so on multiplying the frequency. then add them all up in new column ie) 380 among 270 people = 1.4
mode = histogram highest box
median = histogram add up all data number divided by 2 and can draw this on graph as they sort of are in order ie) 15 to the left and 15 to the right
To find standard deviation you need the copulative formula and the notation change for sample shows the small m and s to represent standard deviation ie) m-n is a notation difference for samples of population's
n = number of scores ie) = 50
Ex = then sum of x = would be the collective total ie) = 270
m = 270/50 = 5.4
Ex^2 = 270 x 270 = 72900 (the square of the total population)
SS = Sum of squares = 72,900 - ( 270^2 / 50) are all the variables.
is the formula = 71,442
the root of SS -1
S^2 = 270 / (50 -1) = 270/49 = 5.51
S = sqrt S^2 = sqrt SS /n-1 = sq rt 50 = and you get your answer here.
Standard Deviation on data example here shown is;
S = sqrt 5.51 = sqrt 71442 / n-1 = sq rt 71442/ 50-1 = sq rt 71442/49 = 38.1837662 from a 270 population that exists with 50 age group 25 -75 to show the ease here and how to remember.
Just retrace and where 270 is change for total
Where 50 is put 64-25 = 39
and where n-1 is put 39-1 and always subtract first before dividing as the formula protects the brackets as seen in bold.
As your very last formula is S = SS/n-1
Step-by-step explanation:
Triangle F E D is cut by line segment H G. Line segment H G goes from side F D to side E D. The length of E G is 6 and the length of F H is 8. Lines E F and G H are parallel.
What is the length of Line segment G D?
GD =
Answer:
10.5
Step-by-step explanation:
built different
Triangle F E D is cut by line segment H G. Line segment H G goes from side F D to side E D. The length of E G is 6 and the length of F H is 8. Lines E F and G H are parallel. 5.5 is the the length of Line segment G D.
What is triangle?A triangle is a polygon that has three vertices on each of its three sides. The point shaped inside the triangle is equivalent to 180 degrees. It implies that the amount of the inside points of a triangle is equivalent to 180°. This is a polygon with the fewest sides.
To put it another way, a triangle is a two-dimensional figure with three sides and interior angles of 180 degrees. Six main types of triangles are distinguished by their angles and side lengths. Allow us to examine exhaustively about the six kinds of triangles. In light of the length of the sides, the triangle is arranged
EG / GD = FH / HD
6 / GD = 8 / 2
GD = 22 / 4
GD = 5.5
Therefore, 5.5 is the the length of Line segment G D.
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please help! (listing BRAINLIST and giving points) :D
Answer:
40°
Step-by-step explanation:
because angle In an isosceles triangle base angles are same and angle in a triangle add up to 180° and angle on a straight line add up to 180°
hope this helps:)
the figure has angle mediates as shown
what is the measure of
Answer:
of what............? you did not finish the question ⁉️
pls plz anyone i’ll pass the class
Answer:
what's the question???
Answer:
x = 3.721
Step-by-step explanation:
Since, the triangle is right triangle, we can use trignometery equations ;
In this case, we need to use tangent equation in perpendicular :
tan θ = opposite side / adjacent side
Where , we've
opposite side = xθ , angle = 28 °Adjacent side = 7tan 28 ° = x / 7
7 × tan 28 ° = 7 × x / 7 ..( Multiply each side by 7 )
7 × tan28° = x
Rewrite
x = 7 tan ×28°
multiply to get
x = 7 × 0.531709432
x = 3.72196602
Determine the standard form of the equation of the line that passes through (6, -9) and (-8, 6)
A. 15x+14y=-36
B. 14x+15y=-36
C. 15x+14y=36
D. 15x-14y=-36
Please select the best answer from the choices provided
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Answer:
A. 15x +14y = -36
Step-by-step explanation:
Since we are given two points, we can start with the 2-point form of the equation for a line.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (6 -(-9))/(-8 -6)(x -6) +(-9)
y = 15/-14(x -6) -9
Multiplying by -14, we have ...
-14y = 15x -90 +126
Adding 14y-36 to both sides gives ...
-36 = 15x +14y . . . . matches choice A
The standard-form equation is ...
15x +14y = -36
_____
Additional comments
It can be easier to start with the form ...
(Δy)x -(Δx)y = (Δy)x1 -(Δx)y1 . . . . . where Δx = x2-x1 and Δy = y2-y1
This gives ...
(6+9)x -(-8-6)y = 15(6) +14(-9)
15x +14y = -36 . . . simplified
__
You can also start with the slope-intercept form or the point-slope form, if you're more familiar with those. The result will be the same. I find it handy to be familiar with a number of different forms of the equation for a line.
Sketch the plane representing -2x²=-8
I found this answer from Brainly.
Somebody else did this question.
**But it's not my answer**
I hope it's helpful and correct!!
can someone help me please?! I'll give brainlest for correct answer
1.)
A) BME
B) MER
C) Mm
D) xBy
E) Straight
F) REB
G) MEB and BER
H) xBy
Write the word sentence as an inequality.
3.2 less than a number t is at most 7.5
Answer:
[tex]t - 3.2 \le 7.5\\[/tex]
Step-by-step explanation:
Given
Represent as inequality
Taking the statement one at a time
3.2 less than t means: t - 3.2at most, 7.5 means less than or equal to 7.5So, the inequality is:
[tex]t - 3.2 \le 7.5\\[/tex]
if jane give £2 pounds to charlotte they will have equal amount of money. instead
charlotte give £4 to jane the ratio of jane's money to charlotte will be 2:1. how much
do jane and charlotte each have to start with
The side view is a bookend is shown. The perimeter of the bookend is 58 centimeters
Answer:
Step-by-step explanation:
The equation to represent the perimeter of given figure is 5m-14+2m-7+3/2 m+2+3m+8=58 and value of m is 6.
Given that, the perimeter of the bookend is 58 centimeters.
What is the perimeter?The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.
Now, the perimeter is
5m-14+2m-7+3/2 m+2+3m+8=58
⇒ 10m+3/2 m-11=58
⇒ (20m+3m)/2=69
⇒ 23m=138
⇒ m=138/23
⇒ m=6
Therefore, the equation to represent the perimeter of given figure is 5m-14+2m-7+3/2 m+2+3m+8=58 and value of m is 6.
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The demand function of a product is q = 7,000 - 50p, where p is the price.
The cost function is given by C = 2,000 + 259. At what price is the break-even
Production attend?
Answer: 139.65 or 25.34.
Step-by-step explanation:
The revenue function will be:
= Price × Quantity
= P × (7,000 - 50p)
= 7000p - 50p²
The coat function is given as:
C = 2,000 + 25q
C = 2000 + 25(7000 - 50p)
C = 2000 + 175000 - 1250p
C = 177000 - 1250p
Then, we'll equate the revenue function to the cost function. This will be:
7000p - 50p² = 177000 - 1250p
-50p² + 7000p + 1250p - 177000 = 0
-50p² + 8250p - 177000 = 0
Divide through by -50
p² - 165 + 3540 = 0
Solving to get the value of P will then give us 139.65 or 25.34.
Write 4/5 with denominator 15
Answer:
12 / 15
Step-by-step explanation:
4/5 = x /15
15 / 5 = 3
So multiply both numerator and denominator by 3
4/5 * 3/3 = 12 / 15
If my answer is incorrect, pls correct me!
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-Chetan K
To get this fraction, we multiply top and bottom by 3
4*3 = 12
5*3 = 15
We get the value 3 through trial and error, or you can note how 15/5 = 3.
Using the equation for the line of best fit what is a good approximation for x when f(x) =30?
Answer:
48.6
Step-by-step explanation:
Given the equation for the line of best fit ; f(x) ≈ 1.8x − 5.4 ;
This equation is used to make prediction for any given value of x ; Here, we are to make prediction for when x = 30
f(x) ≈ 1.8x − 5.4 ; we substitute into the equation, x = 30
f(30) = 1.8(30) - 5.4
f(30) = 54 - 5.4 = 48.6
Prediction at x = 30 is 48.6