Answer:
The first choice, Equation A and equation C.
Step-by-step explanation:
The lines A and C are intersecting in the point (0,8). That is the solution for those lines.
how to write an interval x -3
Step-by-step explanation:
We write that x belongs to the interval if a ≤ x ≤ b. Graphically, a closed interval is represented by a segment whose two ends are filled. To write this interval in interval notation, you must use square brackets: [a,b].
Solve for x. Round to the nearest tenth, if necessary.
Answer:
3.8106327168
Step-by-step explanation:
x=2.5/sin(41) = 3.81063271676
Sarah borrows £500 for 2 years at a rate of 15% to buy a
new laptop.
Calculate the simple interest she will pay on this loan.
Answer: 150 pounds
Step-by-step explanation:
write additive inverse of a) 21/18 b) -2/8
Answer:
a) [tex]-\frac{21}{18}[/tex], b) [tex]\frac{2}{8}[/tex].
Step-by-step explanation:
Let be [tex]u[/tex] a real number, its additive inverse is a real number [tex]v[/tex] so that:
[tex]u+v = 0[/tex]
That is,
[tex]v = - u[/tex] (1)
Then, the additive inverses of [tex]\frac{21}{18}[/tex] and [tex]-\frac{2}{8}[/tex] are, respectively:
a) [tex]-\frac{21}{18}[/tex], b) [tex]\frac{2}{8}[/tex].
Which statement about a right triangle is true?
A: The length of each leg equals 1/2 of the hypotenuse.
B: The square of the hypotenuse is equal to the sum of the squares of the legs.
C: One leg is always longer than the hypotenuse.
D: A right triangle can have only one obtuse angle.
Answer:
the square of hypotenuse rs eqaul to the sum of the square of the legs
Guys please help me if you don’t mind
Step-by-step explanation:
Step 1: The factors of -60 that add up to -11 are -15 and 4.
Step 2:
[tex]( 6{x}^{2} - 15x)( 4x - 10)[/tex]
Step 3:
[tex]3x(2x - 5) + 2(2x - 5)[/tex]
[tex](3x + 2)(2x - 5) [/tex]
A clínica odontológica Dentes Felizes calcula o valor de seus atendimentos a partir de uma taxa fixa de R$ 100,00 e R$ 60,00 por cada obturação.
Answer:
$ 100 + $ 60 y
Step-by-step explanation:
The dental clinic Dentes Felizes calculates the value of its services based on a fixed fee of R$ 100.00 and R$ 60.00 for each filling.
Let the total number of fillings is y.
The total cost of fillings = $ 60 x y = $ 60 y
The total cost of the treatment = $ 100 + $ 60 y
What does the point (1994, 400) on the graph represent?
Answer: There are 400 tadpoles in the year 1994.
This is because any point is of the form (x,y) where in this case
x = year number
y = tadpole population number
So (x,y) = (1994, 400) means x = 1994 and y = 400 pair up together.
In short, the year x = 1994 corresponds to the population of y = 400 tadpoles.
From the years 1990 to 1992, the population is increasing since the curve goes upward when moving from left to right. Then from 1992 to 1993, the population decreases hitting its lowest point in that specific region. From 1993 to 1997, the population increases before it decreases again from 1997 to 1999.
Which equation has the steepest graph?
A. y= 10x-5
O B. y=-14x+1
C. y= {x-9
D. y= 2x + 8
The table below shows how much Joe earns, y, after working x hours.
Joe’s Earnings
Hours worked
Money earned
4
$30
10
$75
12
$90
22
$165
The relationship between money earned and hours worked is linear. Joe computes the slope between (4, 30) and (12, 90), then computes the slope between (4, 30) and (10, 75). How do the two slopes compare?
The slope between (4, 30) and (12, 90) is greater because the ordered pairs are farther apart on the x-axis.
The slope between (4, 30) and (12, 90) is greater because the ordered pairs are farther apart on the y-axis.
The slope between (4, 30) and (12, 90) and between (4, 30) and (10, 75) is the same.
The slope between (4, 30) and (12, 90) is less because 4 is a factor of 12 and 30 is a factor of 90.
Answer: Given : Joe’s Earnings and hour worked
The relationship between money earned and hours worked is linear.
Joe computes the slope between (4, 30) and (12, 90), then computes the slope between (4, 30) and (10, 75).
To Find : How do the two slopes compare?
Solution:
Hours worked Money earned
4 $30
10 $75
12 $90
22 $165
slope between (4, 30) and (12, 90),
= (90 - 30)/(12 - 4)
= 60/8
= 15/2
slope between (4, 30) and (10, 75)
= (75 - 30)/(10-4)
= 45/6
= 15/2
The slope between (4, 30) and (12, 90) and between (4, 30) and (10, 75) is the same.
Both Slopes are same.
i hope this helped and have a nice day/night
The slope between (4, 30) and (12, 90) and between (4, 30) and (10, 75) is the same. The correct answer is the third option.
The slope between two points (x₁,y₁) and (x₂, y₂) on a straight line is given by (y₂ - y₁)/(x₂ -x₁ ).
Let's calculate the slopes:
The slope between (4, 30) and (12, 90):
Slope = (90 - 30) / (12 - 4)
= 60 / 8
= 7.5
The slope between (4, 30) and (10, 75):
Slope = (75 - 30) / (10 - 4)
= 45 / 6
= 7.5
As we can see, the slopes between the two sets of ordered pairs are the same.
Thus, the slope between (4, 30) and (12, 90) and between (4, 30) and (10, 75) is the same.
Hence, the correct answer is the third option.
Learn more about the slope of the line here:
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Hiệu điện thế giữa hai điểm M và N là UMN = 100 V. Một điện tích q = -2μC di chuyển từ M đến N thì công của lực điện là:
Answer:
The work done is - 200 μJ.
Step-by-step explanation:
The potential difference between two points M and N is UMN = 100 V. A charge q = -2μC moves from M to N, the work of the electric force is:
Potential difference, V = 100 V
Charge, q = - 2 μC
The potential difference is defined as the amount of work done in bringing a unit positive test charge from one point to another in the electric field.
So, W = q V
W = - 2 μC x 100 V = - 200 μJ
Solve for x. Thank you
Answer:
x = sqrt(3)
Step-by-step explanation:
Use Thales theorem
x²=3(4-3)x²=3(1)x²=3x=√3At the farmers' market, Lillian bought 5/12 of a pound of string beans and 1/12 of a pound of lima beans. How many more pounds of string beans did Lillian purchase?
Write your answer as a fraction or as a whole or mixed number.
Answer:
1/3 more pounds of string beans.
Step-by-step explanation:
Amount of string beans: 5/12 of a lbs(pound)
Amount of lima beans: 1/12 of a lbs
Amount of string beans - Amount of lima beans = 5/12-1/12 =4/12 which simplifies down to 1/3.
PLEASE HELP!!! I dont understand :(
Hello,
In all reply x²'s coefficient is 1.
The polynom will be (x+i)(x-5)= x²+ix -5x-5i
Answer C
what is the average cost of 7 articles if 3 of them cost 30k each and the rest cost 12.5k each
[tex] {\bold{\red{\huge{\mathbb{QUESTION}}}}} [/tex]
what is the average cost of 7 articles if 3 of them cost 30k each and the rest cost 12.5k each
[tex]\bold{ \red{\star{\blue{GIVEN }}}}[/tex]
TOTAL NUMBER OF ARTICLE= 7
ARTICLES FOR 30K = 3
ARTICLES FOR 12.5K = 7-3= 4
[tex]\bold{\blue{\star{\red{TO \: \: FIND}}}}[/tex]
Average cost of 7 articles
[tex] \bold{ \green{ \star{ \orange{FORMULA \: USED}}}}[/tex]
[tex] \red{AVERAGE = \frac{TOTAL \: COST}{ NUMBER \: OF\: ARTICLES }}[/tex]
[tex] \huge\mathbb{\red A \pink{N}\purple{S} \blue{W} \orange{ER}}[/tex]
[tex]Average \: cost \: of \: 7 \: articles - > \\ \frac{(3 \times 30k) + (12 .5k \times 4)}{7} \\ \frac{90k + 50k}{7} \\ \frac{140k}{7} \\ \blue {Average \: cost \: of \: 7 \: articles - >} \\ 20k[/tex]
PLEASE HELP ASAP
In the diagram below, ΔABC ≅ ΔSTR. Complete the statement BC ≅
A. AC
B. TR
C. ST
D. SR
Answer:
a
Step-by-step explanation:
The complete statement is BC ≅ TR.
What is triangle theorem?In mathematics, the Pythagorean theorem, or Pythagoras' theorem, exists a fundamental relation in Euclidean geometry among the three sides of a right triangle. It expresses that the area of the square whose side exists the hypotenuse stands equivalent to the sum of the areas of the squares on the other two sides.
Using the similarity of triangle theorem BC ≅ TR
To learn more about triangle refer to:
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Points (5,2), (1,0) and (a,5) lie on the same straight line. Then the value of a is a) 15 b) 13 c)11 d)9
Hello,
the line passing through (5,2) and (1,0) has for equation:
y-0=(x-1)*(-2)/(-4) or y=x/2-0.5
if y= 5 then 5=x/2-0.5 ==> 5.5=x/2 ==> x=11
Answer C
Answer:
C
Step-by-step explanation:
Since the points lie on the same line then the slope between consecutive points will be the same.
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (5, 2) and (x₂, y₂ ) = (1, 0)
m = [tex]\frac{0-2}{1-5}[/tex] = [tex]\frac{-2}{-4}[/tex] = [tex]\frac{1}{2}[/tex]
Calculate the slope again and equate to [tex]\frac{1}{2}[/tex]
with (x₁, y₁ ) = (1, 0) and (x₂, y₂ ) = (a, 5)
m = [tex]\frac{5-0}{a-1}[/tex] = [tex]\frac{1}{2}[/tex] , so
[tex]\frac{5}{a-1}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
a - 1 = 10 ( add 1 to both sides )
a = 11
Classify the following triangle. Check all that apply.
113
Jason
A. Isosceles
B. Scalene
O C. Acute
D. Right
E. Equilateral
OF. Obtuse
Answer:
A
Step-by-step explanation:
Because 113 %45*45 that gives you isosceles
Answer:isosceles and right.
Step-by-step explanation:
A photograph measures five inches wide and six inches long. The picture is enlarged to fit on a wall. If the new larger picture is 150 inches wide, how long is it?
a. 180 inches
b. 250 inches
c. 210 inches
d. 200 inches
Answer:
A. 180Step-by-step explanation:
5×6= 30
150+30
= 180
Answer:
a
Step-by-step explanation:
x/150=6/5
x=6/5×150=6×30=180 inches.
Helppp and explain too
Answer:
the first option
Step-by-step explanation:
I have attached the explanation. hope this help
Use a half-angle identity to find the exact value of Sin/8
a.
√2 + √2
√2+ √2
2
b. V2-E
d. √2-√2
2
Please select the best answer from the choices provided
Answer:
To solve this problem, we need to use the following two facts:
1) If a quadratic equation has integer coefficients only, and if one of the roots is a + √b (where a and b are integers), then a - √b is also a root of the equation.
2) If r and s are roots of a quadratic equation, then the equation is of the form x^2 – (r +s)x + rs = 0.
Since we know that 1 - √2 is a root of the quadratic equation, we can let:
r = 1 + √2
and
s = 1 - √2
Thus, r + s = (1 + √2) + (1 - √2) = 2 and rs = (1 + √2)(1 - √2) = 1 – 2 = -1.
Therefore, the quadratic equation must be x^2 – 2x – 1 = 0.
Answer: D
Step-by-step explanation:
Solve for x. Thank you
Answer:
Step-by-step explanation:
B/c the bigger triangle is a copy of the smaller we can say
8[tex]\sqrt{3}[/tex] / 12 = x / 8[tex]\sqrt{3}[/tex]
then, solve for x
8[tex]\sqrt{3}[/tex](8[tex]\sqrt{3}[/tex]/12) = x
(64 *3) 12 = x
192 /12 = x
16 = x
nice, the first answer looks good , then :P
Answer:
16
Step-by-step explanation:
A jet travels 832 km in 5 hours.at this rate,how far could the jet fly in 12 hours? What is the rate of speed of the jet
Answer:
1344.
Step-by-step explanation :
.
The speed of the jet will be 166.4. If the jet fly for 12 hours, then the distance cover will be 1996.8.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
Speed = Distance/Time
A jet travels 832 km in 5 hours.
Then the speed of the jet will be
Speed = 832 / 5
Speed = 166.4 km per hours
If the jet fly for 12 hours, then the distance cover will be
Distance = Speed x Time
Distance = 166.4 x 12
Distance = 1996.8 km
More about the speed link is given below.
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If a dairyman has 300 pounds of milk testing 3% butterfat, how many pounds of skimmed milk (with no butterfat) must he
remove to have milk testing 3.6% butterfat?
28.125 pounds
50 pounds
1.8 pounds
NEXT QUESTION
ASK FOR HELP
TURN ITIN
Answer:
B. 50 poundsStep-by-step explanation:
Set the equation and solve for x:
300*3/100 = (300 - x)*3.6/100900 = 1080 - 3.6x3.6x = 180x = 180/3.6x = 50 poundsCorrect choice is B
help pls and explain!!
Each molecule of aluminum oxide (Al2,03) is
composed of 2 aluminum atoms and 3 oxygen atoms.
How many more oxygen atoms than aluminum
atoms are present in 100 molecules of aluminum
oxide?
Answer:
100
Step-by-step explanation:
[tex](100 \times 3) - (100 \times 2) = 100 [/tex]
HELPPPPPP i will give brainliest!!!!!
Answer:
10-5=5 answer is 8^5
Step-by-step explanation:
Answer:
[tex]8^{5}[/tex]
Step-by-step explanation:
[tex]\frac{8^{10} }{8^{5} }[/tex]
Where are there more 8's ?
top
How many more?
5
Then they stay on top of fraction.
Another way :
[tex]x^{a}[/tex] ÷ [tex]x^{b}[/tex] = [tex]x^{a-b}[/tex]
[tex]8^{10}[/tex] ÷ [tex]8^{5}[/tex] = [tex]8^{10-5}[/tex] = [tex]8^{5}[/tex]
What is the value of x in the equation 4 . 10 X+52 3 +35x+1 5 ?
:)
Answer:
[tex]x=-3[/tex]
Step-by-step explanation:
Given:
[tex]4\frac{3}{10}-(2\frac{2}{5}x+5\frac{1}{2})=\frac{1}{2}(-3\frac{3}{5}x+1\frac{1}{5})[/tex]
Distribute to remove parentheses:
[tex]4\frac{3}{10}-2\frac{2}{5}x-5\frac{1}{2}=-\frac{18}{10}x+\frac{6}{10}[/tex]
For simplification and clarity, reduce all mixed numbers to simplified common fractions:
[tex]\frac{43}{10}-\frac{12}{5}x-\frac{11}{2}=-\frac{9}{5}x+\frac{3}{5}[/tex]
Combine like terms:
[tex]-\frac{12}{5}x-\frac{6}{5}=-\frac{9}{5}x+\frac{3}{5}[/tex]
Add 6/5 to both sides, then add 9/5x to both sides:
[tex]-\frac{3}{5}x=\frac{9}{5}[/tex]
Divide both sides by -3/5 to isolate x (recall dividing by a number is equal to multiplying by its reciprocal):
[tex]x=\frac{9}{5}\cdot -\frac{5}{3}, \\x=\frac{-9}{3},\\x=\boxed{-3}[/tex]
Let D be the event that a randomly chosen person has seen a dermatologist. Let S be the event that a randomly chosen person has had surgery for skin cancer. Identify the answer which expresses the following with correct notation: The probability that a randomly chosen person has had surgery for skin cancer, given that the person has seen a dermatologist.Select the correct answer below:A. P(D|S)B. P(D AND S)C. P(S) AND P(D)D. P(S|D)
Given:
D be the event that a randomly chosen person has seen a dermatologist.
S be the event that a randomly chosen person has had surgery for skin cancer.
To find:
The correct notation for the probability that a randomly chosen person has had surgery for skin cancer, given that the person has seen a dermatologist.
Solution:
Conditional probability: Probability of A given B is:
[tex]P(A|B)=\dfrac{P(A\cap B)}{P(B)}[/tex]
Let D be the event that a randomly chosen person has seen a dermatologist.
Let S be the event that a randomly chosen person has had surgery for skin cancer.
Using the conditional probability, the correct notation for the probability that a randomly chosen person has had surgery for skin cancer, given that the person has seen a dermatologist is P(S|D).
Therefore, the correct option is D.
solve the following simultaneous equations using SUBTITUTION METHOD
m+3n=7 and 5m-n=3
To check:put value of m and n in both equations
Answer: n=2 and m=1
Step-by-step explanation:
m+3n=7 , 5m-n=3
m=7-3n => 5(7-3n)-n=3
=> 35-15n-n=3
=> -16n=-32
=> n=2
n=2 => 5m-2=3
=> m=1
Which graphs are the graphs of even functions?
HELP ASAP
Answer:
Step-by-step explanation:
Even functions have symmetry about the y-axis, so the graphs of even functions are the bottom 2.