Answer:
3
Step-by-step explanation:
9/3 = 3
Answer:
The answer is 3.
Because 3x3 = 9
and 9 divided by 3 equals 3
7. f(x) = 2x + 5 What is the value of x if f(x) = 25 ?
Answer:
x=10
Step-by-step explanation:
set the 2 equations equal to each other
25=2x+5 -> subtract 5
20=2x -> divide by 2
10=x ->answer!
Hope that helps!
Answer:
x = 10
Step-by-step explanation:
f(x) equals both 25 and 2x + 5, so set the equations equal to one another and solve for x.
2x + 5 = 25
2x = 20
x = 10
Plug in what you got for x to check if it is right
2(10) + 5 = 25
20 + 5 = 25
25 = 25
A nurse is providing discharge education to the parents of preschooler who is prescribed acetaminophen (Tylenol) 300 mg every 4 hr as needed. The acetaminophen liquid suspension that has been prescribed provides 120 mg/S mL. How many teaspoons should the nurse teach the parents to administer per does?
The nurse should teach the parents to administer 2.5 teaspoons of the acetaminophen liquid suspension per dose.
The prescribed dosage of acetaminophen is 300 mg every 4 hours as needed. The liquid suspension provides 120 mg of acetaminophen per 5 mL (1 teaspoon). To determine the number of teaspoons required for the prescribed dosage, we can set up a proportion:
120 mg / 5 mL = 300 mg / x mL
Cross-multiplying, we get:
120 mg * x mL = 5 mL * 300 mg
Simplifying, we have
120x = 1500
Dividing both sides by 120, we find:
x = 1500 / 120 = 12.5 mL
Since there are 5 mL (1 teaspoon) in each dose, we can convert 12.5 mL to teaspoons:
12.5 mL / 5 mL = 2.5 teaspoons
Therefore, the nurse should teach the parents to administer 2.5 teaspoons of the acetaminophen liquid suspension per dose to ensure the child receives the prescribed dosage of 300 mg.
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Experimentally Verify That The Base Angles Of An Isosceles Triangle Are Equal. (two figures of different measurements are necessary)
Answer:
To experimentally verify that the base angles of an isosceles triangle are equal, we will need two isosceles triangles of different sizes.
Materials needed:
Two sheets of paper
Ruler
Pencil
Protractor
Scissors
Experiment:
Draw a large isosceles triangle on one sheet of paper by drawing a straight line at least 20 cm long. Then draw two additional lines from each end of the first line to meet at the top, forming an isosceles triangle. Label the base as "AB" and the other two sides as "AC" and "BC."
Measure and mark the midpoint of the base "AB."
Using a ruler, draw a perpendicular bisector through the midpoint of the base. This line should create two congruent segments.
Measure each angle formed by the intersection of the perpendicular bisector and the two sides of the triangle. Use a protractor to measure these angles.
Repeat steps 1-4 with a smaller isosceles triangle on the second sheet of paper. The smaller triangle should have a base of at least 10 cm and two sides of equal length.
Compare the measurements of the angles of both triangles. If the triangles are truly isosceles, then the two angles opposite the base (ACB) should measure the same in both triangles.
Cut out both isosceles triangles along their outlines.
Fold each triangle along the perpendicular bisector line drawn in step 3 so that the two congruent segments come together.
If the angles opposite the base are indeed equal, then the two sides of each triangle should match up perfectly when folded along the perpendicular bisector. If they do not match up, then the triangles are not truly isosceles.
By repeating this experiment with different sized isosceles triangles, we can verify that the base angles of any isosceles triangle are always equal.
how many cup sugar in g?
As a rough estimate, 100g of sugar is equivalent to 0.5 cups of granulated sugar.
Conversion is the process of changing units of measurement from one system to another.
In this case, we need to convert 100g of sugar into cups. However, the conversion factor for sugar varies depending on factors such as the type of sugar and how densely it is packed. For instance, powdered sugar is denser than granulated sugar, and so the conversion factor will differ.
In general, one cup of granulated sugar weighs around 200g, which means that 100g of sugar is equivalent to 0.5 cups. However, it is essential to note that this conversion factor is approximate and can vary depending on the quality and type of sugar used.
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Complete Question:
how many cup sugar in 100g?
(5 bookmarks) flag find the equation of the tangent line to the curve y=2 x cosn at the point (π, -π). the equation of this tangent line can be written in the form y=mx b where
The equation of the tangent line to the curve y = 2x cos(n) at the point (π, -π) is y = -2x + (2π + 2nπ sin(n) - π), where m = -2 - 2nπ sin(n) and b = 2π + 2nπ sin(n) - π.
To find the equation of the tangent line, we need to find the derivative of y with respect to x, and then evaluate it at the given point (π, -π) to find the slope of the tangent line. Then we can use the point-slope form of a line to find the equation of the tangent line in the form y = mx + b.
Taking the derivative of y with respect to x, we get:
dy/dx = 2cos(n) - 2n x sin(n)
Evaluating this derivative at x = π, we get:
dy/dx |x=π = 2cos(n) - 2n π sin(n)
Substituting x = π and y = -π into the original equation, we get:
-π = 2πcos(n)
cos(n) = -1/2
Since we want the equation of the tangent line at the point (π, -π), we can substitute x = π and y = -π into the point-slope form of a line:
y - (-π) = m(x - π)
Simplifying, we get:
y = m(x - π) - π
Substituting cos(n) = -1/2, we have:
dy/dx |x=π = 2cos(n) - 2n π sin(n) = -2 - 2nπ sin(n)
Setting this equal to the slope of the tangent line, we have:
m = -2 - 2nπ sin(n)
Substituting this value of m into the equation of the tangent line, we have:
y = (-2 - 2nπ sin(n))(x - π) - π
Therefore, the equation of the tangent line is:
y = -2x + (2π + 2nπ sin(n) - π)
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Complete question:
Find the equation of the tangent line to the curve y = 2x cos(n) at the point (π, -π). The equation of this tangent line can be written in the form y = mx + b, where m and b are constants. Find the values of m and b.
HELP PLZ I’m struggling with this
Answer:
270 per year so 6 years is 1620 and add that with 6000=7620
Convert the angle \theta=260^\circθ=260
∘
theta, equals, 260, degrees to radians.
The value of an angle 260 degree in radian is 13π / 9 radian.
What is Measurement unit?
A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.
Given that;
Measure of an angle = 260 degree
Now,
We need to convert the angle degree to radian.
Since, we know that;
⇒ 1 degree = π / 180 radian
Hence, we get;
⇒ 260 degree = 260 x π / 180 radian
= 13π / 9 radian
Thus, The value of an angle 260 degree in radian is 13π / 9 radian.
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Complete the missing parts of the paragraph proof. proof: we know that segment qs bisects angle tqr because . by the definition of angle bisector, angle tqs is congruent to angle . we see that segment qs is congruent to segment sq by . therefore, we can conclude that triangles qrs and qts are congruent by .
We know that segment QS bisects angle TQR because it divides the angle into two congruent angles. By the definition of an angle bisector, we can conclude that angle TQS is congruent to angle SQR.
To prove the congruence of triangles QRS and QTS, we need to establish the following:
1. Segment QS is congruent to segment SQ (QS ≅ SQ).
2. Angle TQR is congruent to angle TSQ (angle TQR ≅ angle TSQ).
To prove that segment QS is congruent to segment SQ (QS ≅ SQ), we can use the property of segment congruence called the reflexive property. According to the reflexive property, any segment is congruent to itself. In this case, segment QS is the same as segment SQ, so we can state that QS ≅ SQ.
Now, let's prove that angle TQR is congruent to angle TSQ (angle TQR ≅ angle TSQ). This congruence can be established through the transitive property of angle congruence. The transitive property states that if two angles are congruent to the same angle, then they are congruent to each other.
We know that angle TQS is congruent to angle SQR (angle TQS ≅ angle SQR) because segment QS bisects angle TQR. Similarly, angle TQS is congruent to angle TSQ (angle TQS ≅ angle TSQ) because angle TQS is the same angle. Therefore, by the transitive property, we can conclude that angle TQR is congruent to angle TSQ (angle TQR ≅ angle TSQ).
Since we have established that segment QS is congruent to segment SQ (QS ≅ SQ) and angle TQR is congruent to angle TSQ (angle TQR ≅ angle TSQ), we can now conclude that triangles QRS and QTS are congruent.
According to the side-angle-side (SAS) congruence criterion, if two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent. In our case, segment QS ≅ segment SQ (QS ≅ SQ) and angle TQR ≅ angle TSQ (angle TQR ≅ angle TSQ) satisfy the SAS criterion.
Therefore, by the SAS congruence criterion, we can conclude that triangles QRS and QTS are congruent.
In summary, based on the given information and the properties of congruence, we have shown that segment QS is congruent to segment SQ (QS ≅ SQ) and angle TQR is congruent to angle TSQ (angle TQR ≅ angle TSQ). These congruences satisfy the side-angle-side (SAS) criterion, which allows us to conclude that triangles QRS and QTS are congruent.
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Which of the following tells how to change a measurement from millimeters to meters? A. Divide by 10. B. Multiply by 1,000. C. Divide by 1,000. D. Multiply by 10.
To convert from millimeters to meters, divide the measurement by 1,000. This is because there are 1,000 millimeters in one meter.
To change a measurement from millimeters to meters, you need to convert the smaller unit (millimeters) to the larger unit (meters). In the metric system, there are 1,000 millimeters in one meter. Therefore, the correct answer is C. Divide by 1,000.
Here's a brief solution in 150 words:
To convert millimeters to meters, divide the measurement by 1,000. This is because there are 1,000 millimeters in one meter. So, if you have a measurement in millimeters and want to express it in meters, divide the value by 1,000. For example, if you have a length of 5,000 millimeters and want to convert it to meters, divide 5,000 by 1,000. The result is 5 meters.
Another way to think about this is that when you divide by 1,000, you are essentially moving the decimal point three places to the left. Since there are 1,000 millimeters in one meter, dividing by 1,000 allows you to convert millimeters to meters.
In summary, to change a measurement from millimeters to meters, divide the value by 1,000.
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A series of formulas that describe technical aspects of a system is a(n) _______ model.
a) textual
b) descriptive
c) graphical
d) mathematical
The correct option is d) mathematical
What is a technical system model?
A mathematical model is a set of equations or algorithms that represent technical aspects of a system. These equations or algorithms are used to predict or simulate system behavior and performance. Mathematical models are often used in engineering, science, economics, and other fields where complex systems need to be analyzed and optimized. For example, a mathematical model could be used to analyze how a communication network would perform with different levels of traffic or to predict how a chemical reaction would proceed under various conditions. Mathematical models are often represented graphically to provide a clear visualization of the complex relationships between variables within a system. Overall, mathematical models are an essential tool for designing, optimizing, and managing complex systems.
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erina12 please answe this i am on a live lesson
Answer:
Area = 105 cm^2
Step-by-step explanation:
Area = (9x6) + (6x6) + 0.5(5x6)
= 54+36+15
=105 cm^2
Best Regards!
can you please answer this quick!
Answer:
a. 3*3-5
=6-5
=1
b. 3*(-2)-5
=-6-5
=-11
c. f(x)=1
or,1=3x-5
or,1+6=x
x=7
1
1 point
Simplify: 3x² +6x-4-²-8x +11
O
2x² - 2x + 7
4x² - 2x + 7
OOO
None of these is the answer
2x² + 14x + 7
Answer:
\(2x^2-2x+7\)
Step-by-step explanation:
First rearrange the equation so all similar variables are together (all the \(X^2\) all the x's and all the numbers without an x)
\(3x^2-x^2+6x-8x-4+11\)
Then do addition and subtraction
\(3x^2-1x^2=2x^2\\6x-8x=-2x\\and\\-4+11=7\\\)
Then we put it all together to get the finally result of \(2x^2-2x+7\)
Help please me I don’t understand this :)
Answer:
Step-by-step explanation:
y=-1 is a horizontal line going through y=-1. x=-1 is a vertical line going through x=-1.
y=-1 has a slope of zero. the y-intercept is -1.
x=-1 has no slope. the slope is undefined. there is no y-intercept.
What is 5 7/9 rounded to the nearest whole number?
Answer:
6
Step-by-step explanation:
5 7/9 = 5.77 --> 5.8 --> 6
Number \(5\frac{7}{9}\) rounded to the nearest whole number is 6 .
What is whole number?A whole number is simply any positive number that does not include a fractional or decimal part. This means that, for example, the numbers 0, 1, 2, 3, 4, 5, 6, and 7 are all whole numbers.
According to the question
Number = \(5\frac{7}{9}\)
= \(\frac{52}{9}\)
= 5.77
nearest whole number = 6
Hence, Number \(5\frac{7}{9}\) rounded to the nearest whole number is 6 .
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In ΔUVW, w = 7.1 inches, v = 6.7 inches and ∠V=123°. Find all possible values of ∠W, to the nearest 10th of a degree.
Answer:
No Possible Triangles
Step-by-step explanation:
DeltaMath answer
Which expression best estimates 6 3/4 ÷ 1 2/3
7 ÷ 2
6 ÷ 1
8 ÷ 3
3 ÷ 2
Answer:
7 divided by 2
Step-by-step explanation:
I say 7 divided by 2 because if you round 6 3/4 up one you will get 7 and if you round 1 2/3 up one you get 2 so 7 divided by 2 makes most sense
Develop a POQ solution and calculate total relevant costs for the data in the following table.
Period 1 2 3 4 5 6 7 8 9 10 11 12
Gross requirements 30 40 30 70 20 10 80 50
fill in the table and calculate total costs.
*Holding cost =$ 3.50 / unit/week; setup cost =$ 200 ; lead time =1 week; beginning inventory =40 . a lot-for-lot solution (enter your responses as whole numbers).
Using the information provided in the table, The total holding cost is $547.50, the total setup cost is $600 and the total cost is $1,147.50.
How to calculate the total costTo develop a POQ (Periodic Order Quantity) solution use a lot-for-lot solution, which means that we will order exactly what we need for each period.
The missing values can be found on the attached table.
From the table, the total holding cost which is the sum of the holding costs for all periods is $547.50 while the total setup cost which is the sum of the setup costs for all periods is $600.
Therefore, the total cost is the sum of the holding cost and the setup cost and it is calculated as $1,147.50.
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Need help on math homework
(a) A square has a perimeter of 28ft . What is the length of each side?
Answer:
Step-by-step explanation:
Perimeter of a square = length *4
Perimeter of square= 28ft
length*4=28ft (divide both sides by 4)
length= \(\frac{28}{4}\)
length= 7ft
3x+7+56=90 what is this
Answer:
X=9
Hope this helps! :)
Answer please VVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVV
\(\left[\begin{array}{ccc}3 & 9 \\\\ 5& -2\end{array}\right]+\left[\begin{array}{ccc}6 & 0\\\\ \!\!-8 & 4\end{array}\right]=\left[\begin{array}{ccc} 3+6 & 9+0 \\\\5-8 &-2+4 \end{array}\right] =\left[\begin{array}{ccc} 9& 9 \\\\ -3 & 2\end{array}\right]\)
find the common difference d to make 5 comma space x comma space y comma space 32 as a part of an arithmetic sequence.
The common difference 9 will make 5, x, y, 32 an arithmetic sequence of 5, 14, 23, 32.
It is given that the arithmetic sequence is
5, x, y, 32
We know that for any arithmetic sequence the term aₙ is
aₙ = a + (n - 1)d
where,
a = first term
n = order of the value in the sequence
Since x is the second term
x = 5 + (2 - 1)d
or, x = 5 + d
Similarly,
y = 5 + 2d
32 = 5 + 3d
or, 3d = 27
or, d = 9
Hence, x = 14
y = 5 + 18
= 23
Hence, the common difference is 9
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Rashaad leans a 22-foot ladder against a wall so that it forms an angle of 65° with the ground. How high up the wall does the ladder reach?
solve the inequality: n - 7 > -4
Answer:
n-7>-4
n-7+7>-4+7
n>-4+7
n>3
Answer:
Step-by-step explanation:
look the inequality is the variable. 7-4=3. That means n>3
Help me with this pls, no false answers or links. Thank you!
The solution to the pair of simultaneous equation using substitution method is (x,y) = (-2/3, -25/3) or (3, -1)
How to solve simultaneous equation2x - y = 7 (1)
x² + xy = 6 (2)
From (1)
-y = 7 - 2x
y = 2x - 7 (3)
substitute y = 2x - 7 into (2)x² + x(2x - 7) = 6
x² + 2x² - 7x = 6
3x² - 7x - 6 = 0
solve the quadratic equation using formulax = (-b ±√b² - 4ac) / 2a
= -(-7) ± √(-7)² - 4(3)(-6) / 2(3)
= 7 ± √49 - (-72) / 6
= 7 ± √121 / 6
= (7 ± 11) / 6
x = 18/6 or -4/6
x = 3 or -2/3
Substitute into (3)when x = 3
y = 2x - 7
= 2(3) - 7
= 6 - 7
y = -1
when x = -2/3
y = 2x - 7
= 2(-2/3) - 7
= -4/3 - 7
= (-4-21) / 3
= -25/3
So,
(x,y) = (-2/3, -25/3) or (3, -1)
The variation formula to represent the statement is
y = k / √x
where,
k = constant of proportionality
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Find the Laplace domain X(s) equation by implanting the given parameters and find the time domain x(t) using inverse Laplace transform.
The Laplace domain equation X(s) is found to be X(s) = (s + 2)/(s^2 + 5s + 6). The time domain equation x(t) can be obtained by applying the inverse Laplace transform to X(s), resulting in x(t) = e^(-t) - e^(-2t).
Given the Laplace domain equation X(s), we need to substitute the given parameters and find its expression in terms of s. The equation provided is X(s) = (s + 2)/(s^2 + 5s + 6).
To obtain the time domain equation x(t), we need to apply the inverse Laplace transform to X(s). The inverse Laplace transform of X(s) will give us x(t) in terms of t.
Applying the inverse Laplace transform to X(s) involves finding the inverse transform of each term separately. The inverse Laplace transform of (s + 2) is simply 1, representing the unit step function. The inverse Laplace transform of (s^2 + 5s + 6) is e^(-t) - e^(-2t), which can be obtained through partial fraction decomposition.
Therefore, the time domain equation x(t) is given by x(t) = e^(-t) - e^(-2t), where t represents time.
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PLS HELP ILL GIVE BRAINLIEST
1. What is the radius of the red circle?
2. What is the radius of the blue circle?
3. What is the equation for the red circle?
4. What is the equation for the blue circle?
Answer:
1. 2 units
2. 1 unit
3. the center is (2,-2)
4. the center is (2,2)
Am also nnow stuck
plzz help mehhh plz :( ill mark you
Answer: 108
Step-by-step explanation: bottom figure=60 because 10x3x2=60
top one=48 4x4x3 so 48 60+48=108
plz mark me brainliest
List the first five terms of the sequence. an = [(?1)^n ? 1] / 5n
WHAT IS SEQUENCE?
A sequence is a list of numbers arranged in a specific order according to a rule or pattern. Each number in the sequence is called a term. The terms of a sequence can be finite (limited to a certain number of terms) or infinite (continuing indefinitely).
Sequences can be described by explicit formulas or recursive formulas.
The first five terms of the sequence are:
a1 = 0
a2 = 0
a3 = -2/15
a4 = 0
a5 = -2/25
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