Answer:
Step-by-step explanation:
Certainly! I'm here to assist you.
The given function is f(x) = -2(x - 3).
To simplify this expression, we can distribute the -2 to the terms inside the parentheses:
f(x) = -2 * x - (-2) * 3
Simplifying further:
f(x) = -2x + 6
Therefore, the simplified form of the function f(x) = -2(x - 3) is f(x) = -2x + 6.
how do i get 0.225 in fraction form while showing my work
0.225 can be expressed as the fraction 1/200.
To convert 0.225 to a fraction, we need to understand the place value of each digit. In this case, the digit 2 is in the hundredths place (2/100), the digit 2 is in the thousandths place (2/1000), and the digit 5 is in the ten-thousandths place (5/10000).
Next, we can simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator. In this case, the GCD of 2, 100, 1000, and 10000 is 2.
Now, we divide both the numerator and denominator by 2 to simplify the fraction. The numerator becomes 1 (2 divided by 2) and the denominator becomes 5000 (10000 divided by 2).
Further simplification is possible by dividing both the numerator and denominator by 5. The numerator becomes 1 (1 divided by 1) and the denominator becomes 1000 (5000 divided by 5).
Again, we can divide both the numerator and denominator by 5. The numerator remains 1 and the denominator becomes 200 (1000 divided by 5).
Therefore, 0.225 can be expressed as the fraction 1/200.
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Divisores pares de 100
Answer:
2, 4, 10, 20, 50, and 100.
Step-by-step explanation:
Which of the rays or segments below is a chord of circle O?
A) ->
TC
B)—
SO
C)—>
TU
D)—
FC
The ray or segment that is a chord is (d) segment FC
How to determine the ray that is a chordFrom the question, we have the following parameters that can be used in our computation:
The circle
By definition, a chord is a straight line that joins points of the circle without passing through the center
The ray that has the above properties is ray FC
Hence, the segments that is a chord is (d) FC
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Select the sentence that contains no errors in subject-verb agreement.
Group of answer choices
Those people whose long lives are about to end feels reassured by this belief.
Those people whose long lives are about to end feel reassured by this belief.
A person whose long life is about to end feel reassured by this belief.
A person whose long life are about to end feels reassured by this belief.
The sentence that contains no errors in subject-verb agreement is: "Those people whose long lives are about to end feel reassured by this belief."
This sentence correctly matches the plural subject "Those people whose long lives are about to end" with the plural verb "feel." The verb "feel" agrees in number with the subject "people."
The other sentences have subject-verb agreement errors:
"Those people whose long lives are about to end feels reassured by this belief."
The verb "feels" does not agree with the plural subject "Those people." It should be "feel."
"A person whose long life is about to end feel reassured by this belief."
The verb "feel" does not agree with the singular subject "A person." It should be "feels."
"A person whose long life are about to end feels reassured by this belief."
The verb "are" does not agree with the singular subject "A person." It should be "is."
Therefore, the sentence with no errors in subject-verb agreement is: "Those people whose long lives are about to end feel reassured by this belief."
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I need help please!!
Answer:
25,
-7
Step-by-step explanation:
r ° q= r(q(x))= (-x+2) ^2
So, using perfect square trinomial,
[tex](-x+2)^{2} =x^{2} -4x+4[/tex]
Thus q(-3)=25
q(r(x))= (-x^2)+2=-7
Ahmed has five more CDs than one-half the number of CDs Julia has. In this situation, what does One-halfc+ 5 represent?
the number of CDs Ahmed has
the number of CDs Julia has
the number of CDs Ahmed has more than Julia
the number of CDs Ahmed and Julia have altogether
The number of CDs Ahmed has: The expression (1/2) * c + 5 represents the number of CDs Ahmed has, as we derived earlier. Therefore, this option is correct. Option A
According to the given information, Ahmed has five more CDs than one-half the number of CDs Julia has. One-half of the number of CDs Julia has can be represented as (1/2) * c. Ahmed has five more CDs than this value, so we can express the number of CDs Ahmed has as:
Ahmed's CDs = (1/2) * c + 5
Now, let's analyze the options provided:
A. The number of CDs Ahmed has:
The expression (1/2) * c + 5 represents the number of CDs Ahmed has, as we derived earlier. Therefore, this option is correct.
B. The number of CDs Julia has:
The expression (1/2) * c + 5 does not directly represent the number of CDs Julia has. It represents the number of CDs Ahmed has. Therefore, this option is incorrect.
C. The number of CDs Ahmed has more than Julia:
This option is incorrect because the expression (1/2) * c + 5 represents the absolute number of CDs Ahmed has, not the difference between the number of CDs Ahmed and Julia have.
D. The number of CDs Ahmed and Julia have altogether:
The expression (1/2) * c + 5 represents only the number of CDs Ahmed has. It does not include Julia's CDs. Therefore, this option is incorrect.
In conclusion, the expression (1/2) * c + 5 represents the number of CDs Ahmed has.
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Verify that the given point is on the curve. Find the lines that are a. tangent and b. normal to the curve at the given point.
The point (2, 7π / 2) does not belong to the implicit curve 8 · x · y + π · sin y = 55π and tangent and normal lines cannot be determined.
Does a point given belong to an implicit curve?
In this question we find the definition of an implicit curve, in which we must determine if point (2, 7π / 2) belongs to the curve. First, we check that point:
8 · x · y + π · sin y = 55π
8 · 2 · (7π / 2) + π · sin (7π / 2) = 55π
56π + 0.191π = 55π
56.191π = 55π
56.191 = 55 (CRASH!)
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100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
Answer:
Step-by-step explanation:
9.
Find the volume of the cylinder. All measurements are in
centimeters. Keep your answer exact.
5
Answer:
The volume of the cylinder is 628.318530718
Step-by-step explanation:
The formula used to find the volume of a cylinder (v) is [tex]v = \pi r^2h[/tex], where r = radius and h = height. As the question says to keep the answer exact, we will be using pi as opposed to 3.14.
The radius is 5, and the height is 8. Plug these values into the equation and solve:
[tex]v =\pi *5^2*8[/tex]
[tex]v = 628.318530718[/tex]
So, the exact volume of the cylinder is 628.318530718. Rounded is 628.32
Answer:
200π or 628
Step-by-step explanation:
Note: your picture is not clear so I am assuming the height to be 8.
r = 5
h = 8
Volume = πr²h
= π * 5² * 8
= (25*8) π
= 200π
= 200*3.14
= 628
What is the value of x in equation 2/3(1/2x+12)=1/2(1/3x+14)-3
Answer:
x=-24
Step-by-step explanation:
2/3*1/2x = 2/6x
2/3*12=8
1/2*1/3x=1/6x
1/2*14=7
2/6x+8=1/6x+7-3
2/6x+8=1/6x+4
Takeaway 1/6x both sides to make x on one side
1/6x+8=4
take away 8 both sides to make x on its own
1/6x=-4
divide 1/6 both sides
x=-24
Hope this helps, (brainliest pleasee thanks)
Joe worked 2 hours and packed 3 cartons. Bob worked 3 hours and packed 4 cartons. Who packed the most cartons per hour?
Answer:
bob
Step-by-step explanation:
x+y+2x=1,x-y+z=-5,3x+y+z=3.
Hence, The solution is:
x = 1
y = - 2
z = 2
Step-by-step explanation:
Combine Like Terms:3x + y = 1
Combine The Equations:x - y + z = 5
3x + y + z = 3
Eliminate Variables by Method of Elimination:x + y = -1
Unite The System of Linear Equations in Two Variables:x + y = -1
3x + y = 1
Obtain the solution:x = 1
y = -2
Substitute into an original equation:1 - (-2) + z = 5
Evaluate the Value of the Variable:z = 2
Solve a Three Variable System:Hence, The Solution is: x = 1, y = -2, z = 2
I hope this helps you!
X^2+y^2-6x+2y-38>0
Find the center and radius of the circle
Deepak wrote out the steps to his solution of the equation StartFraction 5 Over 2 minus 3 x minus 5 plus 4 x equals negative StartFraction 7 Over 4 EndFraction – 3x – 5 + 4x = –.
The solution to the given equation is x = -1/4.To solve the equation, let's break down the steps as outlined by Deepak:
Combine like terms: Starting with the left side of the equation, combine the x terms and the constant terms separately. On the left side, we have -3x and 4x, which can be combined to give x. Similarly, we have -5 and 5, which cancel each other out, leaving us with zero.
Simplify both sides: Now, the equation becomes x = -7/4 - 3x.
Move all the x terms to one side: To isolate the x term on one side, we can add 3x to both sides of the equation. This gives us 4x + 3x = -7/4.
Combine like terms: On the left side, we have 4x and 3x, which can be added to give 7x. The equation now becomes 7x = -7/4.
Solve for x: To solve for x, we divide both sides of the equation by 7. This yields x = -1/4.
Therefore, the solution to the given equation is x = -1/4.
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What is the place value of the 6- digit in the number 205.876?
Answer:
thousandths place value
Step-by-step explanation:
50 Points! Multiple choice geometry question. Photo attached. Thank you!
Answer:
B. 7
Step-by-step explanation:
3/KL = 12/28
KL = 3/(12/28) = (28 x 3)/12 = 7
What type of association does the following scatter plot represent?
Graph shows 0 to 10 on x and y axes at increments of 1. Dots are made at the ordered pairs 0, 10 and 1, 9 and 2,8 and 3,7 and 4,6 and 5,5 and 6,4.5 and 7,4 and 8,3.8 and 9,3.8 and 10,3.8
Positive linear association
Negative linear association
Positive nonlinear association
Negative nonlinear association
The data points form a straight line, suggesting a negative linear association.
Based on the given scatter plot, the association can be described as a negative linear association. A linear association refers to a relationship between two variables where the data points tend to cluster around a straight line. In this case, as the x-values increase, the corresponding y-values consistently decrease.
The scatter plot displays a clear negative slope, indicating that as the x-values increase, the y-values decrease in a linear fashion. This pattern suggests an inverse relationship between the two variables: as one variable increases, the other decreases proportionally.
The dots are arranged in a downward trend, with a clear linear pattern. This is characteristic of a negative linear association. The relationship between the variables can be described by a negative slope or a negative correlation coefficient.
It's worth noting that the scatter plot does not exhibit any curvature or nonlinear patterns. If there were a curvature present, indicating a non-linear relationship, it could be further classified as either positive or negative based on the direction of the curve.
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1) (20) The temperature on a mountain forms a linear relationship with
the altitude at any given point of the mountain.
The temperature at 4800 feet is 79 degrees while the temperature at
6400 feet is 67 degrees.
=Find a linear model T(x) = mx + b Where x is the altitude.
a) Find the linear model. Show work!
b) What are the units of m, the slope of the line? Hint: Look at the units
of the x values and y values.
c) Find T(5800)
By analyzing the temperature-altitude relationship on a mountain, we can establish a linear model that describes how temperature changes with varying altitudes.
Step-by-step explanation:
a) Knowing the altitude and temperature data, we can use the formula for the slope of a line:
m = (y2 - y1) / (x2 - x1),
where (x1, y1) and (x2, y2) are two points on the line.
Using the altitude and temperature values provided:
(x1, y1) = (4800, 79) and (x2, y2) = (6400, 67),
we can calculate the slope:
m = (67 - 79) / (6400 - 4800)
= -12 / 1600
= -0.0075.
Now, to find the y-intercept (b), we can substitute one of the points (4800, 79) into the equation:
79 = (-0.0075)(4800) + b.
Solving for b, we have:
b = 79 + 0.0075(4800)
= 79 + 36
= 115.
Therefore, the linear model is T(x) = -0.0075x + 115.
b) The units of the slope (m) can be determined by looking at the units of the y values (temperature) and x values (altitude). In this case, the units of temperature are degrees, and the units of altitude are feet. Therefore, the units of the slope (m) are degrees per foot.
c) To find T(5800), we can substitute x = 5800 into the linear model:
T(5800) = -0.0075(5800) + 115
= -43.5 + 115
= 71.5.
Answers:
a) T(x) = -0.0075x + 115.
b) The units of the slope (m) can be determined by looking at the units of the y values (temperature) and x values (altitude). In this case, the units of temperature are degrees, and the units of altitude are feet. Therefore, the units of the slope (m) are degrees per foot.
c) 71.5 degrees.
The table displays the scores of students on a recent exam. Find the mean of the
scores to the nearest 10th.
Score Number of Students
70
6
75
80
85
90
95
3
9
5
7
8
2
Simplify the expression: 2a(4b + 3a) +2ab
Suppose that an object is thrown upward from ground level with an initial velocity of 160ft/sec. Its height after t seconds is a function h given by h(t)=-16t^2 +160t.
a) Find an equivalent expression for h(t) by factoring out a common factor with a negative coefficient.
b) Check your factoring by evaluating both expressions for h(t) at t=1.
The factored expression is
a) The factored expression for h(t) is -16t(t - 10), obtained by factoring out a common factor of -16 and a common factor of t from the original expression -16t^2 + 160t.
b) Both the original expression -16t^2 + 160t and the factored expression -16t(t - 10) yield the same result of 144 when evaluated at t = 1, confirming the correctness of the factoring.
a) To factor out a common factor with a negative coefficient from the expression h(t) = [tex]-16t^2 + 160t[/tex], we can rewrite it as:
h(t) = [tex]-16(t^2 - 10t)[/tex]
Now, let's focus on factoring the quadratic expression inside the parentheses. We can factor out a common factor of t:
h(t) = -16t(t - 10)
Therefore, the factored expression for h(t) is -16t(t - 10).
b) To check the factoring by evaluating both expressions for h(t) at t = 1, we substitute t = 1 into the original expression and the factored expression and compare the results.
Using the original expression:
h(1) = [tex]-16(1)^2 + 160(1)[/tex]
h(1) = -16 + 160
h(1) = 144
Using the factored expression:
h(1) = -16(1)(1 - 10)
h(1) = -16(1)(-9)
h(1) = 144
Both expressions yield the same result of 144 when evaluated at t = 1. Therefore, the factoring is correct.
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A rectangular tin measure 20cm by 10cm by 10cm. What's it's capacity in litres
Answer:
2 Litres
Step-by-step explanation:
A rectangular tin measure 20cm by 10cm by 10cm. What's it's capacity in litres
find Volume ( Volume = L x W x h)20 * 10 * 10 = 2000cm^3
Convert cubic centimeters to litres1000 cm^3 = 1 Litres
2000 cm^3 = 2 Litres
Jane just joined a group that makes hats for babies in the hospital. Two weeks ago they made 21 hats. Last week they made 29 hats. This week they made 12 hats. All these hats will be split evenly between 2 nearby hospitals. Jane works out that's 62 hats for each hospital. Does that sound about right?
Answer:
31
Step-by-step explanation:
you add the hats to get the total number of hats then divide the answer by
No, it is much too high. Then the correct option is B.
What is an equation?An equation is a statement of equality between two expressions consisting of variables and/or numbers.
Given the question above, we need to find if the hats is to high or low.
Calculating the total numbers of hats made, we have
[tex]21 + 29 + 12 = 62 \ \text{hats}[/tex]
If Edna wants to split 62 hats evenly between two hospital, then each hospital will get
[tex]\dfrac{62}{2} = 31 \ \text{hats}[/tex]
Therefore, if Edna works out that each hospital gets 62 hats, No it is too high, as that is the total of all the hat that is available
Hence, the correct option is B.
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Missing informationEdna just joined a group that makes hats for babies in the hospital. Two weeks ago they made 21 hats. Last week they made 29 hats. This week they made 12 hats. All these hats will be split evenly between 2 nearby hospitals. Edna works out that's 62 hats for each hospital. Does that sound about right?
A. Yes
B. No, it is much too high
C. No, it is much too low
Assume that each circle shown below represents one unit.express the shaded amount as a single fraction and as a mixed number
One fraction :
Mixed number:
The shape is represented as below
As one fraction = 9/4As a mixed number = 2 1/4How to represent the figure as a fractionThe figure is of three shapes, the firs two are whole numbers then the last is a fraction.
Adding them results to
shape 1 + shape 2 + shape 3
1 + 1 + 1/4
As one fraction
= 9/4
as a mixed number
= 2 1/4
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Bobby bought 5 books for $215.15. If the books cost the same, what
amount did he pay for each book?
$32.82
$43.03
$52.84
$62.85
Answer:
Step-by-step explanation:
If bobby bought 5 books for 215.15 and they all cost the same, all you need to do is divide 215.15 by 5.
215.15/5=43.03
The answer to this problem is 43.03.
the month net salary rate of a married secondary level teacher of 4 grade is Rs 43,689. s/he gets Rs 1,456 for one grade , Rs 2,000 for dearness allowance in every month and one month salary for festival allowance at once. 10% of his/her monthly salary is deposited in employee's provident fund (EPF), 10% in citizen investment fund (CIF) and Rs 400 in life insurance in each month. the government deposits the same EPF and insurance premium amounts in the related offices
1) find his/her assessable income
2) find his/her total income tax
Answer:
Step-by-step explanation:
The Chief Secretary's total monthly salary, including basic salary, dearness allowance, and festival allowance, is Rs 1,50,000.
We have,
The monthly basic salary of the married Chief Secretary of Nepal Government is given as Rs 74,000.
This is the fixed amount he receives as his base salary every month, before any additional allowances or deductions are considered.
Now,
In this case, the dearness allowance of Rs 2,000 is added to the basic salary.
This allowance is provided to compensate for the rising cost of living and is a fixed amount added to the basic salary.
Additionally, he receives 1 month's basic salary as a festival allowance. Since his monthly basic salary is Rs 74,000, his festival allowance would also be Rs 74,000.
Therefore, his total monthly salary can be calculated as follows:
Basic salary + Dearness allowance + Festival allowance
= Rs 74,000 + Rs 2,000 + Rs 74,000
= Rs 1,50,000
Thus,
The Chief Secretary's total monthly salary, including basic salary, dearness allowance, and festival allowance, is Rs 1,50,000.
30+((-2×(25- (13-3)))
Hello,
Answer:
[tex]30+((-2\times(25- (13-3)))[/tex]
[tex]=30+((-2\times(25- 10))[/tex]
[tex]=30+(-2\times 15)[/tex]
[tex]=30+(-30)[/tex]
[tex]=30-30[/tex]
[tex]=\boxed{0}[/tex]
What additional information could be used to prove that ΔXYZ ≅ ΔFEG using ASA or AAS?
We would need to demonstrate that two angles of one triangle are congruent to two angles of the other triangle, and a pair of non-included sides are congruent.
To prove that triangles ΔXYZ and ΔFEG are congruent using the ASA (Angle-Side-Angle) or AAS (Angle-Angle-Side) congruence criteria, we need to show that they share certain corresponding angles and sides.
In ASA, we would need to show that both triangles have two congruent angles and the included side between those angles is congruent. In AAS, we would need to demonstrate that two angles of one triangle are congruent to two angles of the other triangle, and a pair of non-included sides are congruent.
Additional information that could be used to prove the congruence of ΔXYZ and ΔFEG using ASA or AAS includes:
1. Angle X = Angle F: If we can show that angle X in triangle ΔXYZ is congruent to angle F in triangle ΔFEG, we have one angle congruence.
2. Angle Y = Angle E: If we can demonstrate that angle Y in triangle ΔXYZ is congruent to angle E in triangle ΔFEG, we have the second angle congruence.
3. Side XY = Side FE: If we can prove that side XY in triangle ΔXYZ is congruent to side FE in triangle ΔFEG, we have the included side congruence.
Alternatively:
4. Angle Z = Angle G: If we can show that angle Z in triangle ΔXYZ is congruent to angle G in triangle ΔFEG, we have the second angle congruence in AAS.
5. Angle Y = Angle E: If we can demonstrate that angle Y in triangle ΔXYZ is congruent to angle E in triangle ΔFEG, we have the second angle congruence in AAS.
6. Side XZ = Side FG: If we can prove that side XZ in triangle ΔXYZ is congruent to side FG in triangle ΔFEG, we have a pair of non-included side congruence.
By establishing these angle and side congruences, we can use either the ASA or AAS congruence criteria to prove that triangles ΔXYZ and ΔFEG are congruent.
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Need help asap please .
Answer: 2011 and 2012
Step-by-step explanation:
Rotate point (-3, 2) about the origin 180 degrees clockwise. Where will the new point be?
Answer: the answer is (3,-2)
Step-by-step explanation: when you rotate a point about the origin 180 degrees clockwise, (x,y) turns into (-x,-y)
therefore
(-3,2) becomes (3,-2)
I'm pretty sure
