Answer:
The correct option is 1.
Step-by-step explanation:
We have to find a function where f(2)=4. It means the value of function is 4 at x=2.
In graph 1, the value of function is 4 at x=2, therefore option 1 is correct.
In graph 2, the value of function is -4 at x=2, therefore option 2 is incorrect.
In graph 3, the value of function is not shown in the graph at x=2, therefore option 3 is incorrect.
In graph 4, the value of function is not shown in the graph at x=2, therefore option 4 is incorrect.
Thus, correct option is 1.
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
-4 , 0
Step-by-step explanation:
y = - 4 x + 0
hope this will be helpful to you.
plz mark my answer as brainlist ☺️.
NOTE: Angles not necessarily drawn to scale.
Answer:
x = 45°
Step-by-step explanation:
Vertical Angle Theorem
When two straight lines intersect, they form two pairs of angles. The vertically opposite (non-adjacent) angles are congruent (equal).
From inspection of the given diagram, the straight line with points C and D and the straight line with points F and G intersect at point E.
Therefore, angles ∠FEC and ∠DEG are vertically opposite, and so they are equal.
From inspection of the diagram:
∠FEC = x°∠DEG = 20° + 25° = 45°Therefore:
⇒ ∠FEC =∠DEG
⇒ x = 45°
A contractor is required by a county planning department to submit one, two, three, four, or five forms (depending on the nature of the project) in applying for a building permit. Let Y =the number of forms required of the next applicant. The probability that y forms are required is known to be proportional to y—that is,p(y) = ky for y=1,….,5.
a. What is the value of k?
The probability that y forms are required is known to be proportional to y—p(y) = ky for y=1,….,5. where the value of k is 1/15.
The sum of all possible values of p(y) must equal to 1, so we can find k by using this property as follows -
1 = p(1) + p(2) + p(3) + p(4) + p(5)
= k * (1 + 2 + 3 + 4 + 5)
solving further, we get -
k = 1 / (1 + 2 + 3 + 4 + 5)
= 1 / 15
Hence, the value of k = 1/15.
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The length of a rectangle is 5 times as long as the width. If the perimeter is 60 meters, find the length and the width.
hi <3
lets call our width 'x' and our length '5x'
so lets create an equation with what we know:
5x + 5x + x + x = 60
simplify:
12x = 60
divide both sides by 12:
x = 5
5(5) = 25
therefore, the width is 5m and the length is 25m
hope this helps :)
Answer: length=25 width=5
Step-by-step explanation:
let L= length
let W= width
length is 5 times as long as the width means; L=5*W=5W
perimeter of rectangle; 60= L+L+W+W=2L+2W
substituting L we have; 60=2*5W+2W=10W+2W=12W
therefor 60=12W
60/12=12W/12
W=5
remember; L=5W=5*5=25
x = 13, ¿cuál ecuación es verdadera?
3(18 - x) = 67
4(9x) = 23
2(x-3)=7
5(x-9) = 20
When x = 13, the equation that is true is option D) 5(x - 9) = 20.
To determine which equation is true when x = 13, we can substitute the value of x into each equation and see which equation holds true. Let's go through each option:
A) 3(18 - x) = 67
Substituting x = 13:
3(18 - 13) = 67
3(5) = 67
15 = 67
The equation is not true when x = 13. Therefore, option A is false.
B) 4(9x) = 23
Substituting x = 13:
4(9*13) = 23
4(117) = 23
468 = 23
Again, the equation is not true when x = 13. Therefore, option B is also false.
C) 2(x - 3) = 7
Substituting x = 13:
2(13 - 3) = 7
2(10) = 7
20 = 7
Once again, the equation is not true when x = 13. Therefore, option C is false as well.
D) 5(x - 9) = 20
Substituting x = 13:
5(13 - 9) = 20
5(4) = 20
20 = 20
Finally, the equation is true when x = 13. Therefore, option D is true.
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Note: the translated questions is
X = 13, which equation is true?
What's 1 trillion to the 10th power
The result of the number 1 trillion to the 10th power as required to be determined is; 10¹²⁰.
What is the result of 1 trillion to the 10th power?The result of the number 1 trillion to the 10th power is as follows;
Recall; 1 trillion = 1,000,000,000,000 = 10¹²
Hence; 1 trillion to the 10th power is; ( 10¹² )¹⁰.
From the laws of indices; we therefore have that;
= 10¹²⁰
Ultimately, the result is; 10¹²⁰.
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All of the following ordered pairs satisfy the function rule y = -2x - 1 except _____.
(-2, 3)
(0, -1)
(-1, -3)
(2, -5)
Answer:
im going to say (2, -5)
Step-by-step explanation:
Can y’all help me on question 10?!
Answer:
B
Step-by-step explanation:
N=4x0+12=12
Answer:
12
Step-by-step explanation:
N = 4m + 12 =
N = (4 x 0) + 12
N = 0 + 12 =
N = 12
at a school there are 10 students taking only chemistry, 9 students taking only physics 5 students taking both, and 16 students not taking either. if a student is randomly selected from the other school, what is the probability that they are taking chemistry or physics?
Answer:
24/16 (not simplified nor teacher checked)
Step-by-step explanation:
What you would need to do is add up all of the students that are taking chemistry, physics, or both. Then place that number in a divsion form.
10+9= 19+5=24
16
24/16
Answer:
\(\frac{3}{5}\)
Step-by-step explanation:
We form a committee of 8 people, to be chosen from 15 women and 12 men. (a) How many possible committee can be formed
Using the combination formula, it is found that 2,220,075 committees can be formed.
The order in which the people are chosen is not important, hence, the combination formula is used to solve this question.
Combination formula:\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by:
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
In this problem, 8 people are chosen from a set of 12 + 15 = 27, hence:
\(C_{27,8} = \frac{27!}{8!19!} = 2220075\)
2,220,075 committees can be formed.
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Please break down how to do these pls
The value of given expressions is -4\(x^{-2}\) + 3\(y^{0}\) = 19 and 2\(x^{0}\)\(y^{-2}\) = 0.08
Simplifying an equation is simply another way of saying solving a math problem. When you simplify a phrase, you are attempting to write it in the simplest way feasible. In conclusion, there should be no more adding, subtracting, multiplying, or dividing to do.
Given expression 1. -4\(x^{-2}\) + 3\(y^{0}\) 2. 2\(x^{0}\)\(y^{-2}\)
Expression for x =2 and y=5
-4x-2 + 3y0
= -4(2)-2 + 3(5)0
= 16+3
=19
Now
2x0y-2
= 2(2)0x(5)-2
= 2 x (1/25)
= 2 x 0.04
= 0.08
Therefore the value of given expressions is -4\(x^{-2}\) + 3\(y^{0}\) = 19 and 2\(x^{0}\)\(y^{-2}\) = 0.08
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Use Eclid's method to determine the GCF of 24 and 60. Use the GCF and the distributive property to add 24 + 60.
12 is the GCF
GCF and the distributive property = 84
Explanation:GCFof 24 and 60
Using the Euclid's method:
First we divide 60 by 24:
\(\begin{gathered} \frac{60}{24}=2\text{ remainder }12 \\ 24(2)\text{ + 12 = }60 \end{gathered}\)Then we divide 24 by the remainder 12:
\(\begin{gathered} \frac{24}{12}=\text{ 2 remainder 0} \\ 12(2)\text{ + 0 = 24} \end{gathered}\)Since there are no more remainders, the number which we divided by another that produced a remainder of zero is the GCF (greatest common factor)
We divided 24 by 12 to produce a remainder of 0. The divisor is 12
Hence, 12 is the GCF
Using property to add 24 + 60:
we check for the greatest number common to both
12 is the greatest common factor to both
24 = 2(12)
60 = 12(5)
24 + 60 = 12(2 + 5)
= 12(7)
= 84
Express 88 kilometers per hour in miles per hour.
mi/hr
(Round to the nearest hundredth as needed.)
88 kilometers per hour in miles per hour is 54.68 mi/hr
Converting kilometers per hour to miles per hourNote that:
1 km = 0.6214 miles
The measurement to convert is 88 kilometers per hour
Multiply 88 kilometers per hour by 0.6214 to convert to miles per hour
88 kilometers per hour = 88 x 0.6214 miles per hour
88 kilometers per hour = 54.6832 miles per hour
88 kilometers per hour = 54.68 mi/hr
Therefore, 88 kilometers per hour in miles per hour is 54.68 mi/hr
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The sum of the sequence of 685+678+671+664+...+6
Answer:
Sum of the sequence (Sn) = 33,859
Step-by-step explanation:
Given:
Sequence = 685+678+671+664+...+6
Find:
Sum of the sequence (Sn)
Computation:
a = 685
d = 678 - 985 = -7
an = 6
an = a+(n-1)d
6 = 685+(n-1)(-7)
-679 = (n-1)(-7)
97 = n-1
n = 98
So,
Sum of the sequence (Sn) = (n/2)[a+an]
Sum of the sequence (Sn) = (98/2)[685+6]
Sum of the sequence (Sn) = (49)(691)
Sum of the sequence (Sn) = 33,859
allow3. The graph of function g is shown below.(a) Describe the graph as a transformation of f(x) = va(b) Write the equation for g.(c) State the domain and range of g.(d) Solve f(x) = 7 algebraically and graphically
For a)
\(f(x)=\sqrt[]{x}\)In this case, we have a shift up by 4 and a shift to right by 2 units
For the shift up we need to add 4 to the function
For the shift to the right, we need to subtract 2 to the x
b) the equation for g is
\(g(x)=\sqrt{x-2}+4\)c)
the domain is the set of all the possible values x can have
In this case
\(\: \lbrack2,\: \infty\: )\)the range is the set of all possible values that the function can have
In this case
\(\: \lbrack4,\: \infty\: )\)d)
\(f(x)=\sqrt[]{x}\)\(\sqrt[]{x}=7\)We isolate the x
\(x=7^2=49\)Also, it can be observed in the graph looking for the value of x when f(x)=7
What is the slope-intercept equation of the line below?
Answer:
y=-5/4x+3
Step-by-step explanation:
y=mx+c
m = (y1-y2)/(x1-x2) =(-2-3)/(4-0) =-5/4
sub the values y=3, x=0 to find c,
3 =-5/4(0) + c
c = 3
what is the solution set for the inequality?
4x+2< -10
Answer:
X is greater than negative 4
Step-by-step explanation:
1.-2 from both sides
2. divide 4 from both sides
3. solution set X is greater than negative 4
For triangle ABC use the Triangle Proportionality Theorem to solve for x. Show all of your work for full credit.
Answer:
x=17
Step-by-step explanation:
See attached.
Because of the Triangle Proportionality Theorem,
24: (2x-4)+6
20: 2x-4
Cross multiply these two ratios
48x-96 = 40x-80+120
Isolate variable: 8x = 96-80+120
Solve: 8x = 136
x=17
If the selected consumer is 70 years old, what is the probability that he/she likes crunchicles
Answer:
The probability that a selected consumer, given that is 70 years old, likes Crunchicles is 12.78%.
Step-by-step explanation:
The question is incomplete:
Three hundred consumers were surveyed about a new brand of snack food, Crunchicles. Their age groups and preferences are given in the table.
18–24 25–34 35–55 55 and over Total
Liked Crunchicles 4 9 3 23 39
Disliked Crunchicles 5 27 28 64 124
No Preference 7 27 10 93 137
Total 16 63 41 180 300
One consumer from the survey is selected at random. If the selected consumer is 70 years old, what is the probability that he/she likes crunchicles .
If the consumer is 70 years old is included in the category "55 and over" from this survey. There are 180 subjects in that category.
The number that likes Crunchicles and are 55 and over is 23.
If we calculate the probability as the relative frequency, we have:
\(P(\text{L }|\text{ 55+})=\dfrac{P(\text{L \& 55+})}{P(5\text{5+})}=\dfrac{23}{180}=0.1278\)
L: Likes Crunchicles.
The probability that a selected consumer, given that is 70 years old, likes Crunchicles is 12.78%.
A boat leaves the entrance to a harbor and travels 200 miles on a bearing of N51°E. How many miles north and how many miles east from the harbor has the boat traveled?
Thus, the boat travels x = 139.18 miles in North direction and y = 143.62 miles east from the harbor.
Explain about the components of vector:It is possible to break down a "two-dimensional vector" into its horizontal as well as vertical parts. By using the Pythagorean theorem and the vector's magnitude as the hypotenuse of a right triangle, we may determine these components of vector.
As indicated below, we must determine how far east and north the boat has moved relative to the harbour.
In this diagram, the boat is seen leaving the harbour at a bearing of N51E (measured from north to east) and a magnitude of 200 miles. The boat travelled a horizontal distance through the east, which we refer to as "x," and a vertical distance through the north, which we refer to as "y."X miles north:
cos 51 = x/200
x = 200*cos51
x = 139.18 miles
y miles east:
sin 53 = y/200
y = 200*sin 51
y = 143.62 miles
Thus, the boat travels x = 139.18 miles north and y = 143.62 miles east from the harbor.
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Find the inverse of the function y = 3x + 5 Find the inverse of the function y=3x+5
Answer:
First Inverse function= f^-1(x)=x/3-5/3
Second Inverse function=f^-1(x)=x/3-5/3
Step-by-step explanation:
Can someone help me with this problem?
7. Radius of circle P = 2 Radius of circle Q = 1
Coordinates of the point of tangency (4,2)
The equation of the tangency line is x = 4
8. AB is not a tangent. BC² ≠ AB² + AC²
9. The three radii of the circle are; CB, CF and CD
A diameter of the circle is BD
A tangent of the circle is GE
A chord of the circle is BD
A secant of the circle is AD
A point of tangency is F
How do we find the radius of a circle?
7. To find the radius, identify the diameter of the circle. For the diagram, it can be said that the diameter of the circle P is 4.
The radius then is 4/2 = 2.
The radius of circle q is 2/2 = 1
You could also use the formula
Distance = sqrt((x2 - x1)² + (y2 - y1)²)
8. √4² + √12² = √160
√13 = 169
Therefore AB is not tangent. It is less than BC
9. The line that cuts the circle into two halves is the diameter. The lines than further cuts the diameter into equal parts are the radii's
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Quita bought a jacket priced at $90. The sales tax rate on the jac
was 7%.
How much was the sales tax in dollars and cents on this jacket
Answer:
Sales tax= $6.30
Jacket= $0.9630
Step-by-step explanation:
Jacket price= $90
Sales tax= 7%
Sales tax in dollars
=7/100×90
=$6.30
Jacket in cents
=$90+$6.30
=$96.30 ÷100
=$0.9630
17. Find the circumference given
KL 4.6 in. Round to the nearest
tenth.
The circumference of the given circle is approximately 47.3 inches.
Since the length of the arc KL and the measure of the central angle ∠KOL are known, we can use the formula for arc length to find the circumference of the circle:
arc length = (central angle / 360°) x circumference
Plugging in the known values, we have:
4.6 in = (35° / 360°) x circumference
Solving for the circumference, we get:
circumference = 4.6 in / (35° / 360°)
circumference = 4.6 in x (360° / 35°)
circumference ≈ 47.3 in (rounded to the nearest tenth)
Therefore, the circumference of the circle is approximately 47.3 inches.
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In a right triangular prism, the area of the triangular base is 50 square feet. The height of the prism is 12 feet. What is the volume of the prism?
A.220ft^3
B.600ft^3
C.100ft^3
D.135ft^3
600 ft²
Solution:
Area of triangular prism - -
Formula's:
Area of the base * HeightHere the volume:
50 * 12
600 ft²
Which interval notation represents the set of all numbers greater than 0 and less than or equal to 3?
Answer:
(0,3)
Step-by-step explanation [0,3] indicates that the numbers are greater or equals to 0 and less than or equals to 3; while (0,3) leaves out the equal sign
Which inequality is equivalent to the given inequality? -4(x+7)< 3(x-2)
An equivalent inequality to the given \(-4(x + 7) < 3(x - 2)\) is \(7x > -22.\)
To find an equivalent inequality, we can start by simplifying the given inequality and then make adjustments to preserve its truth.
Let's simplify the given inequality step by step:
\(-4(x + 7) < 3(x - 2)\)
Expanding both sides:
\(-4x - 28 < 3x - 6\)
Grouping like terms:
\(-4x - 3x < -6 + 28\)
Simplifying:
\(-7x < 22\)
To maintain the direction of the inequality, we need to multiply both sides by -1.
However, when we multiply or divide both sides of an inequality by a negative number, the direction of the inequality is reversed.
Therefore, we need to flip the inequality sign:
\(7x > -22\)
Hence, an equivalent inequality to the given \(-4(x + 7) < 3(x - 2)\) is
\(7x > -22.\)
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hELP ME WITH THIS!!!
Answer:
5196
Step-by-step explanation:
So it's 5040+(-156)
We have to find the absolute value
|-156|=156
5040+156=5196
Answer:
5196 m
Step-by-step explanation:
The sea is level = 0
If Punack Jaya, is 5040 m above sea level then it would be = + 5040 m
If Lake Assal is 156 m below sea level then it would be = - 156 m
The difference between the two elevations:
= 5040 - (-156)
= 5040 + 156 --> two negatives create a positive
= 5196 m
Which number is a factor of 51?
07
11
17
26
Answer:(C) 17
Step-by-step explanation:(c) after some research its what I've seen people say
best of luck!
Can anybody tell what this is