Answer:
y=x-2
Step-by-step explanation:
y=2^x and y=x-2 have the same domain. Any x-values work for both functions. The domain is all real numbers.
If this answer is correct, please make me Brainliest!
How many minutes are there from 14h10 pm to 15h50 pm, the same day?
Answer:
100 minutes
Step-by-step explanation:
subtract 14h10 from 15h00
this will equal 50
then add the remaining 50minutes from 15h00
what is the sum of the 3rd and 5th square numbers????
Answer:
40
Step-by-step explanation:
as 1st sq no is.4 and 2nd sq no. is 36
and their sum is =4+36
=40.....ans
The expression 34−10+3+2=78 is an example of
Answer: simplifying expression
Step-by-step explanation:
In given figure AB is the diameter of circle. If ∠CAD = 32° and ∠CPB = 28°. Find ∠CDA.
Answer:
Therefore, the angle ∠CDA is 58°.
Step-by-step explanation:
∠CDA = 58°
In the given figure, let's consider the angle ∠CDA as x.
Since AB is the diameter of the circle, we know that the angle subtended by any diameter at any point on the circumference is always 90°. Therefore, ∠CAB = 90°.
In triangle CAD, the sum of angles is 180°. So, we have:
∠CAD + ∠CDA + ∠CAB = 180°
Substituting the known values:
32° + x + 90° = 180°
Combining like terms:
x + 122° = 180°
Subtracting 122° from both sides:
x = 180° - 122°
x = 58°
Which graph represents the function f(x) = –|x + 3|?
Answer:
Where are the graph(s)?
Step-by-step explanation:
Answer: Its A on eng for the graphs.
Step-by-step explanation:
A cone has a volume of 6 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of? (1 point)
Answer:
18 cubic inches
Step-by-step explanation:
The formulas for the volumes of a cone and a cylinder can be used to answer this question.
Volume formulasThe volume of a cone is given by ...
V = 1/3πr²h . . . . . volume of cone with radius r and height h
The volume of a cylinder is given by ...
V = πr²h . . . . . volume of a cylinder with radius r and height h
Relation between volumesComparing the formulas, we see that the volume of a cone is 1/3 the volume of a cylinder with the same radius and height.
(cone volume) = 1/3(cylinder volume)
Multiplying this equation by 3 gives ...
3×(cone volume) = (cylinder volume)
Using the given value for cone volume, we have ...
cylinder volume = 3×(6 in³) = 18 in³
The volume of the cylinder is 18 cubic inches.
You roll a die 2 times. What is the probability or rolling a 6 and then a 2?
Answer:
1 out of 6
Step-by-step explanation:
Each roll of the die is an independent event. This means that the second roll does not rely on the first roll. The probability of rolling a six is one out of six. The probability of rolling a two is also one out of six. Since the two events are independent of each other, you would take the average of the two probabilities, which since they are both one out of six, the probability of rolling a six and then a two is one out of six.
Rewrite 14 / 25 and 11 / 20 so that they have a common denominator
The fraction equivalent of the given fractions with the same denominator is written as \(\frac{56}{100} \ and \ \frac{55}{100}\)
The given parameters include:
\(\frac{14}{25} \ and \ \frac{11}{20}\)
To rewrite the given fractions to have the same denominator, we must find the LCM of the denominators;
The prime factorization of 25 = 5²
The prime factorization of 20 = 5 x 2²
The LCM of the two numbers = 5² x 2² = 25 x 4 = 100
The fractions can rewritten as follows;
\(\frac{14}{25} \ = \frac{14}{25} \times \frac{4}{4} = \frac{14 \times 4}{25 \times 4} = \frac{56}{100} \\\\\frac{11}{20} \ = \frac{11}{20} \times \frac{5}{5} = \frac{11 \times 5}{20 \times 5} = \frac{55}{100}\)
Thus, the fraction equivalent of the given fractions with the same denominator is written as \(\frac{56}{100} \ and \ \frac{55}{100}\)
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show that if an edge .u; / is contained in some minimum spanning tree, then it is a light edge crossing some cut of the graph.
Minimum spanning tree that incorporates the edge will be produced as a result, and its weight will be lower than the real minimum spanning tree (u, v).
Take into account that T1 and T2 are the two trees you obtained by deleting the edges (u, v) from a minimum spanning tree. Let V1 and V2 represent the corresponding vertices of trees T1 and T2.
Imagine a cut that divides V1 from V2 at this point. In this cut, certain edges have weights that are lower than the edges (u, v), which is a contradiction. Then, by including the previously described edge with T2 ∪ T1, you can create a minimal spanning tree of the entire graph. Another minimum spanning tree that incorporates the edge will be produced as a result, and its weight will be lower than the real minimum spanning tree (u, v).
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The right question is:
Show that if an edge (u,v) is contained in some minimum spanning tree, then it is a light edge crossing some cut of the graph.
a prescription is written for amoxicillin 75 mg t.i.d. for 10 days. What is the volume of each dose in mL if you dispense amoxicillin 50 mg/mL?
Each dose of amoxicillin, when dispensed at a concentration of 50 mg/mL, would be 1.5 mL.
To calculate the volume of each dose of amoxicillin in milliliters (mL), we need to know the concentration of the medication and the prescribed dosage.
Given:
Amoxicillin concentration: 50 mg/mL
Prescribed dosage: 75 mg t.i.d. (three times a day) for 10 days
To determine the volume of each dose, we can use the formula:
Volume (mL) = Dosage (mg) / Concentration (mg/mL)
First, let's calculate the dosage for one dose:
Dosage per dose = 75 mg
Now we can calculate the volume of each dose using the concentration of amoxicillin:
Volume (mL) = 75 mg / 50 mg/mL
Volume (mL) = 1.5 mL
Amoxicillin would therefore be administered in 1.5 mL doses at a dosage of 50 mg/mL.
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The Checkered Cab Company charges a flat rate of $1.75 flat rate in addition to $0.65 per mile. Mandy has no more than $12.00 to spend on a cab ride. Write an inequality to represent the situation. How many miles can Mandy travel without exceeding her limit?
(a) State the inequality, and then
(b) state the answer. Round the answer to the nearest mile.
Let x = number of miles
Think: Flat rate + Cost per mile is no more than $12 ik
Answer:
12≥0.65x+1.75
x=15
Step-by-step explanation:
flat rate:1.75
plus
0.65 dollars per mile
max amount is 12 dollars
12≥0.65x+1.75
is the inequality.
now lets solve it
0.65x+1.75≤12
Subtract 1.75 from both sides.
0.65x≤10.25
Divide both sides by 0.65.
x≤15.769231
now round nearest mile.
15 miles is the maximum amount because if Mandy traveled 16 miles Mandy would have to pay over 12 dollar amount.
Initially 100 milligrams of a radioactive substance was present. After 8 hours the mass had decreased by 2%. If the rate of decay is proportional to the amount of the substance present at time t, determine the half-life of the radioactive substance. (Round your answer to one decimal place.)
For initial 100 milligrams of a radioactive substance was if decreased by 2% in 8 hours, then half-life of the radioactive substance is 108.3 hours.
Rate of change is the change in one variable due to change in other.
Given the following:
Amount of a radioactive substance initially present=100mg
After 8 hours, mass decreased by 2%
Mass after 8 hours= 100-(2% of 100)
=100-(2*100/100)
=100-2
=98
The rate of decay is proportional to the amount of the substance present at time t.
Mathematically,
Let the amount of radioactive substance is A and at time t,
\(\dfrac d{dt}A\ \alpha\ A\\\\\)
\(\dfrac d{dt}A= kA\\\\\\dA=kAdt\)
On integrating both sides,
\(\int \frac {1}{kA}dA=\int dt\\\\\)
\(\dfrac {ln A}{k}=t +ln \ c_1\\ln A =kt+k\ ln \ c_1\\\)
On taking antilogarithm both sides,
\(e^{ln A} =e^{kt+k\ ln \ c_1\\A=e^{kt}e^{k\ ln \ c_1}\\A=e^{kt}e^{\ ln \ c_1^k}\\A=e^{kt}c_1^k \\\)
Let, \(c_1^k=c\)
\(A =e^{kt}c\).................................1
At t=0, A=100
Substituting values in 1
\(100= e^0c\\c=100\)
At t= 8, A=98
\(98=e^{k8}100\\0.98=e^{8k}\\8k=ln0.98\)
k=-0.0064.
To determine the half time of the decay.
At half time A became A/2=50 mg
Substituting in 1.
\(50=e^{-0.0064t}100\\ln 0.5=-0.0064t\\t=\frac{ln 0.5}{-0.0064}\\t=108.3042\\t=108.3\)....................................rounded to one decimal place.
Thus, The half-life of the radioactive substance is 108.3 hr.
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Tracy is cleaning up after tilling a bathroom. there's are 2 open boxes of tile. each box has 5/8 of the tiles remaining.how many boxes of tiles lComplete the calculations to show how you found your answer . express your final answer in the simplest form.
When we multiply a fraction by a number, it is the same as multiplying the numerator by this number, therefore, our calculation can be rewritten as
\(2\times\frac{5}{8}=\frac{2\times5}{8}=\frac{10}{8}=\frac{5}{4}=1\frac{1}{4}\)Swimming pool was 9 meters wide with an area of 90 square.What is the length of the pool?
Answer:
90/9 = 10, the length of the pool. This can be proven as 10 x 9 = 90²
Step-by-step explanation:
A marine biologist measured one dish that was 1 1/4 of a foot and a second fish that was 3/4 of a foot long. How much longer was the first fish
Answer:
1/3 foot longer
Step-by-step explanation:
2/3-1/3=1/3
Bob has a total of 60 adventure cards for a game. The table shows the number of cards, c, distributed to p players. Which equation describes the pattern in the table?
p 2 3 4 5
c 30 20 15 12
c = 60 ÷ p
c = 60 – p
c = 60p
c = 60 + p
For a game, Bob has a total of 60 adventure cards. The distribution of cards, c, to players, p, is shown in the table. c = 60 ÷ p
Describe probability. Describe using an example.Probability defines the possibility of occurrence of an event. Probability is the unit of measurement for an event's likelihood. It represents the proportion of positive results to all results. For instance: Receiving the numbers 3 and 5 while rolling the dice, as well as getting both an even and an odd number.
The equation would read: c = 60 / 2, which implies c = 30 if p=2. The equation would read 12 = 60 / p, p = 5, 20 = 60 / 3, etc. If c = 12, the equation would read... 12 = 60 / p, and p = 5, and so on, 20 = 60 / 3, and 15 = 60 / 4.
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Which equation correctly represents the situation: A campground charges $5 plus $ 25 per person for rent. Use x and y for the unknown variables.
Answer:
25x+5y
Step-by-step explanation:
Find the distance between points A = (2, 0) and
B= (0, 9). Round your answer to the nearest tenth.
Show your work
Answer:
9.2
Step-by-step explanation:
You want the distance between A(2, 0) and B(0, 9).
DistanceThe distance formula is based on the Pythagorean theorem. It tells you the distance between (x1, y1) and (x2, y2) is ...
d = √((x2 -x1)² +(y2 -y1)²)
For the given points, this becomes ...
d = √((0 -2)² +(9 -0)²) = √(4+81) = √85
d ≈ 9.2
The distance between A and B is about 9.2 units.
2/3 x 5/9 as a fraction
\(\huge\text{Hey there!}\)
\(\mathsf{\dfrac{2}{3}\times\dfrac{5}{9}}\)
\(\mathsf{= \dfrac{2\times5}{3\times9}}\)
\(\mathsf{= \dfrac{2 + 2 + 2 + 2 + 2}{3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3}}}}\)
\(\mathsf{= \dfrac{4 + 4 + 2}{6 + 6 + 6 + 6 + 3}}\)
\(\mathsf{= \dfrac{8 + 2}{12 + 12 + 3}}\)
\(\mathsf{= \dfrac{10}{24 + 3}}\)
\(\mathsf{= \dfrac{10}{27}}\)
\(\huge\textbf{Therefore, your answer should be:}\)
\(\huge\boxed{\frak{\dfrac{10}{27}}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)4. Tori bought x shares of Mattel stock for m dollars per share. She sold
all of the shares months later for y dollars per share. Express her cap-
ital gain or loss algebraically.
Answer:
mx = y
or
y = mx
Step-by-step explanation:
If she pays m per share, and x represents each share, you will multiply m and x. If she sold all them for the value of y. Then you set mx equal to y.
mx = y
or
y = mx
High School Geometry
BC is tangent to circle A, and the value of r is 10.
Given,
BC=24
CD=16
AD=AB=r
To find the value of r, we can use the fact that a tangent line to a circle is perpendicular to the radius at the point of tangency. So we know that angle ABD is a right angle, and we can use the Pythagorean theorem
The Pythagorean theorem can be used to calculate the value of r:
\(AB^2+BC^2=AC^2\)
\(r^2+24^2=(r+16)^2\)
\(r^2= (r+16)^2-24^2\)
\(r^2\)= \(r^2\)+256+32r-576
\(r^2\)=\(r^2\)+32r-320
\(r^2-r^2\)-32r=-320
-32r=-320
r=320/32
r=10
Therefore the correct answer is r=10.
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Find the slope of a line perpendicular to the line whose equation is 2x + 3y = 24. Fully simplify your answer.
The slope of a line perpendicular to 2x + 3y = 24 is 3/2
What is Equation ?
An equation is a statement that two expressions are equal. It contains one or more variables and may also contain constants, coefficients, and mathematical operations such as addition, subtraction, multiplication, division, and exponentiation.
To find the slope of a line perpendicular to the line whose equation is 2x + 3y = 24, we need to first find the slope of the given line.
We can rearrange the equation into slope-intercept form (y = mx + b) by solving for y:
2x + 3y = 24
3y = -2x + 24
y = (-2/3)x + 8
So the slope of the given line is -2/3.
A line perpendicular to this line will have a slope that is the negative reciprocal of -2/3.
The negative reciprocal of a number is the number flipped upside down and then negated. So the negative reciprocal of -2/3 is:
-1 / (-2/3) = 3/2
Therefore, the slope of a line perpendicular to 2x + 3y = 24 is 3/2
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Use the hundredth grids to answer the question.
Which equation is shown by the model?
See picture below
Based on the information we can infer that the equation shown in the image is 1.23 - 0.35 = 0.88 (option B).
How to identify the correct equation?To identify the correct equation we must look at the graph and identify the information it provides. In this case we have two squares divided into 100 squares each. Additionally, the square on the left has 88 squares painted in red and 12 squares with an X inside. In the case of the square on the right, it has 23 squares colored in red with an X inside.
In total we have 123 squares painted in red, which in decimal number is equivalent to 1.23. On the other hand, the number of squares painted red and with an X inside is 35, this value would be 0.35.
On the other hand, the squares painted only in red are 88, so the equivalent in decimal numbers would be 0.88. Therefore, the correct way to express this relationship through an equation would be:
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What is the solution to this equation x/4=-12
Answer:
x = -48
Step-by-step explanation:
x/ 4 = -12
Multiply each side by 4
x/4 * 4 = -12 *4
x = -48
Answer:-48
Step-by-step explanation:x/4=-12
Cross multiply
X x 1 =-12 x 4
X=-48
Tom weighs 5kg more than Harry. Harry weighs 3kg more than Freddie who, in turn weighs
2 kg less than Alfie. What is the difference, in kilograms, between Tom and Alfie?
The difference between Tom and Alfie is 1 kg
Let's call the weight of Tom T, the weight of Harry H, the weight of Freddie F, and the weight of Alfie A. We are given that T = H + 5, H = F + 3, and F = A - 2.
Substituting the second and third equations into the first equation gives us:
T = (A - 2) + 3 + 5
T = A - 2 + 3 + 5
T = A + 1
So the difference between Tom and Alfie is T - A = A + 1 - A = 1 kg.
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1) (b + a) = 4; use a = 1 and b = 3
2) c(b + b); use b = 1 and c = 5
3) 4+ pm; use m = 4 and p =3
4) 5+ pm; use m = 4 and p = 2
5) m(p + 2); use m = 5 and p = 2
6) h+j²; use h = 1 and j = 4
7) y-(x - 5); use x = 5 and y = 6
8) 4xy; use x = 5 and y = 2
9) n(p + 3); use n = 2 and p = 2
10) y +x+x; use x = 3 and y=5
11) 6+ a-b; use a = 4 and b = 4
The equations will be solved by putting the values of the variables in the bracket.
How to calculate the values?1. (b + a) = 4; use a = 1 and b = 3
( 1 + 3) = 4
2) c(b + b); use b = 1 and c = 5
5(1 + 1)
= 5 × 2 = 10
3) 4+ pm; use m = 4 and p =3
= 4 + (4 × 3)
= 4 + 12
= 16
4) 5+ pm; use m = 4 and p = 2
= 5 + (2 × 4)
= 5 + 8
= 13
5) m(p + 2); use m = 5 and p = 2
= 5(2 + 2)
= 5 × 4
= 20
6) h+j²; use h = 1 and j = 4
= 1 + 4²
= 17
7) y-(x - 5); use x = 5 and y = 6
= 6 - (5 - 5)
= 6 - 0
= 6
8) 4xy; use x = 5 and y = 2
= 4 × 5 × 2
= 40
9) n(p + 3); use n = 2 and p = 2
= 2(2 + 3)
= 10
10) y +x+x; use x = 3 and y=5
= 5 + 3 + 3
= 11
11) 6+ a-b; use a = 4 and b = 4
= 6 + 4 - 4
= 6
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Is a triangle with side lengths 23,30 &19 a right triangle show why or why not . Please need asap! :)
Step-by-step explanation:
To determine whether a triangle is a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Let's denote the three sides of the given triangle as a = 23, b = 30, and c = 19. We can check if these side lengths satisfy the Pythagorean theorem as follows:
c^2 = a^2 + b^2
19^2 = 23^2 + 30^2
361 = 529 + 900
Since 361 is not equal to 529 + 900, we can see that the given triangle is not a right triangle.
11×11-6×17+45
do the work please?
Answer:
33
Step-by-step explanation:
11 * 11 - 6 * 17 + 14
121 - 102 + 14
19 + 14
33
Best of Luck!
Hey there!☺
\(Answer:\boxed{64}\)
\(Explanation:\)
\(11*11-6\times17+45\)
In order to solve, we will need to use the order of operations(PEMDAS). Start from left side multiplication.
\(11*11=121\)
Now move to the right side multiplication.
\(6*17=102\)
Now subtract the two products.
\(121-102=19\)
Now add what is left over.
\(19+45=64\)
\(64\) is your answer.
Hope this helps!
\(\text{-TestedHyperr}\)
Can Someone Evaluate This Please
Answer:
6
Step-by-step explanation:
\( {4}^{2} - (x + 8)\)
\( {4}^{2} - (2 + 8)\)
\( {4}^{2} - 10\)
\(4 \times 4 - 10\)
\(16 - 10\)
\( = 6\)
Find the slope of the line.
Answer:
The slope is 1/3 because of rise/run
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
Because slope equation is vertical over horisantal so it would be 1 and 3.
Hope this helps!