Answer:
Answer A
Step-by-step explanation:
hope this helps uwu
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Answer:
a) 0
b) -5
Step-by-step explanation:
We want to find f(x) = -4
This means find the value of x where y=-4
The value of x where y=-4 is x=0
Then find f(2)
This means find the value of y when x =2
The value of y when x=2 is -5
need help really hard assignment A square has an area of 225 square inches. find it's perimeter
Given: A square with an area of 225 square inches.
Required: To determine the perimeter of the square.
Explanation: Let the edge of the square be x inches. Then the area of the square is-
\(\begin{gathered} Area=(edge)^2 \\ =x^2 \end{gathered}\)According to the question, the area of the square is 225 square inches. Hence-
\(\begin{gathered} x^2=225 \\ x=\sqrt{225} \\ x=15\text{ inches} \end{gathered}\)Now, the perimeter of the square is-
\(\begin{gathered} Perimeter=4\times edge \\ =4\times15 \\ =60\text{ inches} \end{gathered}\)Final Answer: The perimeter of the square is 60 inches.
Calculate the mass of naf that will be required to make your standard 1 solution: 250 ml, 0.1m f- solution.
The mass of NaF that is required to make a standard 1 solution of 250 ml 0.1 M F- solution is 5.45 g of NaF. The number of moles in a solution is the concentration in moles per litre multiplied by the volume in litres.
To calculate the mass of a solute required, we need to first calculate the number of moles required. We can then use the molar mass of the solute to calculate its mass.To calculate the number of moles required in this question, we can use the formula:n = c × V where n is the number of moles, c is the concentration in moles per litre and V is the volume in litres. We have:c = 0.1 M
and V = 0.25 L
Substituting these values into the formula gives:n = 0.1 mol/L × 0.25 L
= 0.025 mol
Now we can use the molar mass of NaF to calculate its mass. The molar mass of NaF is 41.99 g/mol (22.99 g/mol for Na and 19.00 g/mol for F).
We have:n = 0.025 mol
solving for mass:m = n × M
where M is the molar mass of NaF.
Substituting gives:m = 0.025 mol × 41.99 g/mol ≈ 1.05 g
However, this is the mass required to make 0.25 L of solution. To make 1 L of solution, we would need to multiply the mass by 4. Therefore, the mass of NaF required to make a standard 1 solution of 250 ml 0.1 M F- solution is:1.05 g × 4 = 4.20 g Rounding this to two significant figures gives:4.2 g NaF.
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Which of the following equations represents the area of a sector?
1.) A360nxr², where n is the central angle of the sector
2.)A = n², where n is the central angle of the sector
n
3.) A= TT, where n is the central angle of the sector
360°
4.) A =
360
T², where n is the central angle of the sector
From the given options we can say that the only one that represents the area of the sector is; A = n/360 * πr²
What is the Area of the Sector?
In circles, a sector is said to be a part of a circle made of the arc of the circle together with its two radii. This means that it is a portion of the circle formed by a portion of the circumference (arc) and radii of the circle at both endpoints of the arc.
The formula for Area of a sector is given as;
θ/360 * πr²
where;
θ is the central angle of the sector
r is radius
Now, looking at the given options we can say that the only one that represents the area of the sector is;
A = n/360 * πr²
where n is the central angle of the sector
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Answer:
A!
Step-by-step explanation:
1/4(16w+5) we need to simplify the answer
Answer:
4w + 5 / 4
Step-by-step explanation:
1/4 × 16w + 1/4 × 5
= 4w + 5 / 4
Find the inverse of each of the given functions.
f(x) = 4x-12
ƒ¹(x)=[
DONE
h(x) =
2x-4
3
h¯¹(x) = 3x - 12
2
k¯¹(x) =
3
(2x-4)
h¨¯¹(x) = 3x + 4
2
DONE
Answer:
Step-by-step explanation:
The inverse of each function is:
f(x) = 4x-12
To find the inverse, we switch the x and y variables and solve for y:
x = 4y - 12
x + 12 = 4y
y = (x + 12)/4
Therefore, the inverse function is:
ƒ¹(x) = (x + 12)/4
h(x) = (2x-4)/3
To find the inverse, we switch the x and y variables and solve for y:
x = (2y - 4)/3
x * 3 = 2y - 4
2y = 3x + 4
y = (3x + 4)/2
Therefore, the inverse function is:
h¯¹(x) = (3x + 4)/2
k(x) = (2x-4)/3
To find the inverse, we switch the x and y variables and solve for y:
x = (2y-4)/3
x * 3 = 2y - 4
2y = 3x + 4
y = (3x + 4)/2
Therefore, the inverse function is:
k¯¹(x) = (3x + 4)/2
The average temperature for the month in Chilly County was -0.4oC. If the average temperature the previous year was -2.2oC, how much colder or warmer was it this year compared to last year?
The temperature in Chilly County was 1.8°C warmer when compared to last year.
What is temperature?Temperature simply has to do with the degree of hotness and coldness that's Ina body. Temperature is a physical quantity that quantifies our feelings of hotness and coldness. A thermometer is used to measure temperature.
The kelvin is one of the seven SI base units and the SI unit of thermodynamic temperature. We define another unit of temperature, the degree Celsius (°C), which is unusual
Since the average temperature for the month in Chilly County was -0.4°C and the average temperature the previous year was -2.2°C.
The temperature compared will be:
= 2.2° C - 0.4°C
= 1.8°C
Therefore, it was warmer as it was 1.8°C.
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The teacher recommends that students read for 20 minutes each night how many pages will the students complete
The number of pages read by the student at the constant rate in 20 minutes is 10 pages.
What is termed as the constant rate?In math, a constant rate is the exclusion of acceleration. A function with such a constant rate, in general, has a second derivative of 0. The function would be a straight line if plotted on standard graph paper because the change in y (or rate) would've been constant. Whenever the value of x increases, a value of y does not change.That is, the y value does not change, and the graph is just a horizontal line.For the given question,
The rate at which the student reads the book is given by equation;
y = (1/2)x.
Consider the data from the table given.
For 1 minutes the pages read is 0.5.
From the recommendation of 20 pages by the teacher.
Thus, for 20 min, put the value x = 20 in the equation.
y = (1/2)×20
y = 10 pages.
Thus, the number of pages read by the student at the constant rate in 20 minutes is 10 pages.
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The complete question is-
A student reads at a constant rate in her chapter book, Where the Red Fern Grows. This can be described by the equation
y = (1/2)x. The chart above is complete. The teacher recommends that students read for 20 minutes each night. How many pages will the student complete?
A case of tacks weighs 1.29 kilograms. There are 7 boxes in each case, each box having the same weight. How much does each box weigh?
Answer:
Each box weighs 0.18 kilogram.
Step-by-step explanation:
We can do proportions to solve.
\( \frac{1.29 \: kilograms}{7 \: boxes} = \frac{x}{1 \: box} \\ \\ \frac{7x}{7} = \frac{1.29}{7} \\ \\ x = 0.18 \\ x = 0.18 \: kilogram\)
What is the percent of change if the price changes from $150 to $100? Round to the nearest whole percent if necessary.
Answer:
Percentual change= 33.33% decrease
Step-by-step explanation:
Giving the following information:
Present value (PV)= $150
Future value (FV)= $100
To calculate the percentual change, we need to use the following formula:
Percentual change= [(PV - FV) / PV]*100
Percentual change= [(150 - 100) / 150]*1''
Percentual change= 0.3333*100
Percentual change= 33.33% decrease
A church has a brick planter at the base of their sign. The planter is in the shape of a right triangle. The legs of the triangle measure ten feet. If the planter has a height of two feet, find its volume.
The volume of the triangular prism-shaped planter is calculated as: 20 cubic feet.
How to Find the Volume of the Triangular Prism-Shaped Planter?To find the volume of the planter, we can use the formula for the volume of a right triangular prism, which is given by:
Volume = (1/2) * base * height * length
In this case, the base of the planter is the area of the right triangle formed by the legs, and the length is the height of the planter.
Given that the legs of the triangle measure ten feet, we can calculate the area of the triangle:
Area = (1/2) * base * height
= (1/2) * 10 * 2
= 10 ft²
Now, we can find the volume of the planter:
Volume = (1/2) * 10 * 2
= 10 * 2
= 20 ft³
Therefore, the volume of the planter is 20 cubic feet.
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first sequence: 3 8 13 18 23 second sequence: -2 4 10 16 . find the TWO numbers that are in both number sequences.
\(a(n) = 3 + 5n\)
\(b(n) = - 2 + 6n\)
\(a(n) = b(n) \\ 3 + 5n = - 2 + 6n \\ 5 = n \\ n = 5 \: (6th \: term)\)
\(a(5) \: or \: b(5) = 3 + 5(5) = 28\)
if the sides of a square are increasing at a rate of 3 in/sec, at what rate is the area increasing when the edges are 10 in?
Answer:
Below
Step-by-step explanation:
Square area = s^2
ds/dt = 3
Area = s^2 Find the derivative with respect to t of both sides
area/dt = 2s ds/dt
= 2 (10)(3) = 60 in^2 per sec
I need to find the ordered pairs
The total possible combination of ordered pairs from the element of the given set is 9
What are the ordered pairsTo find the ordered pairs of the equation, we simply have to find the total possible combinations from the element of the set.
The element of set given is x ∈ {-1, 0, 1}
The possible combinations of x ∈ {-1, 0, 1} are;
(-1, -1)
(-1, 0)
(0, -1)
(1, 1)
(-1, 1)
(1, -1)
(0, 1)
(1, 0)
(0, 0)
We have 9 possible ordered pairs
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Using proper notation, which of the following represents the length of the line
segment?
The proper notation for the line segment is option A.
How to name a line segment?A line segment is bounded by two distinct points on a line.
In other words, a line segment is a section of a line bounded by two points or connecting two points.
Therefore, the proper notation that represent the length of the line segment can be represented as follows:
The line length is 4 units and the length is DE.
Hence, the line segment is named as DE = 4. The answer is option A.
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Task 9: Cookie Jar Problem There was a jar of cookies on the table. Latoya was hungry because she hadn't had breakfast, so she took half of the cookies. Then Mark came along and noticed the cookies. He thought they looked good, so he ate a third of what was left in the jar. Kandi came by and decided to take a fourth of the remaining cookies with her to her next class. Then Shannon came dashing up and took a cookie to munch on. When Michelle looked at the cookie jar, she saw that there were two cookies left. "How many cookies were there in the jar, to begin with?" she asked Kira.
Extension: If there were 2/3 of a cookie left over, how many cookies were there before Latoya came?
Can you please explain the work too, please!
The number of cookies in the jar initially was 42
To find out how many cookies were in the jar initially, we can use algebra to represent the problem. Let x be the number of cookies in the jar initially. After Latoya took half of the cookies, Mark took 1/3 of the remaining cookies, Kandi took 1/4 of the remaining cookies, and Shannon took 1 cookie, there are 2 cookies left in the jar.
We can use this information to set up the equation:
x/2 - (x/2)/3 - (x/2)/4 - 1 - 2 = 0.
By solving this equation, we get x = 42. This means there were 42 cookies in the jar initially. To find out how many cookies were there before Latoya came, we just add the 2/3 of a cookie that was left over to the 2 whole cookies we know of.
So, 42+2/3 = 42.67 which means 42 cookies were there before Latoya came.
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Roses company reimburses her expenses on food, lodging, and conveyance during business trips. The company pays $110 a day for food and lodging and $0.45 for each mile traveled. Rosa drove 200 miles and was reimbursed $3,390:
Create an equation that will determine the number of days on the trip
PLS HELP ME ASAPthis composite figure is made up of three simpler shapes. what is the area of the figure? a. 81 square cmb. 146 square cmc. 116 square cmd. 100 square cm
The area of the composite shape is 116 square cm
Here, we want to find the area of the composite shape
To find this, we need to get the simpler shapes
As can be see, we have a parallelogram, a triangle and a square
The parallelogarm's area can be calculated by multiplying the height (7 cm) by the base (10 cm)
We have its area as;
\(7\times10=70cm^2\)For the square, we have its area as the square of its side
We have this as;
\(4\times4=16cm^2\)For the triangle, its area is half the product of its base and height
We have this as;
\(\frac{1}{2}\times4\times15=30cm^2\)The area of the composite shape is the sum of these;
\(=70cm^2+16cm^2+30cm^2=116cm^2\)Potassium-42 has a half-life of 12.4 hours. How much of a 746-gram sample will be left after 62 hours?
the amount of potassium-42 remaining after 62 hours is approximately 23.31 grams (option B)
Explanation:half life = 12.4 hours
initial amount = 746g
time elapsed = 62 hours
Using the half-life formula:
\(\begin{gathered} N(t)=N_0(\frac{1}{2})^{\frac{t}{t_{_{\frac{1}{2}}}}} \\ N(t)\text{ = amount remaining} \\ N_0\text{ = initial amount = 746g} \\ t\text{ = 62 hours} \\ t_{\frac{1}{2}\text{ }}\text{ = 12.4 hours} \end{gathered}\)Substitute for the values:
\(\begin{gathered} N(t)=N_0(\frac{1}{2})^{\frac{t}{t_{_{\frac{1}{2}}}}} \\ N(t)\text{ = }746(\frac{1}{2})^{\frac{62}{12.5}} \\ N(t)\text{ = }746(\frac{1}{2})^5 \\ N(t)\text{ = }746(\frac{1}{2^5}) \end{gathered}\)\(\begin{gathered} N(t)\text{ = }(\frac{746}{32})^{} \\ N(t)\text{ = }23.3125 \end{gathered}\)Hence, the amount of potassium-42 remaining after 62 hours is approximately 23.31 grams (option B)
i need help asap please
Answer:
a.
MP3 player: 88%
Video game player: 92%
b.
MP3 player: 75 minutes
Video game player: 67 minutes
Step-by-step explanation:
a.
MP3 player
- Already has 40%
- Each 15 minutes additional 12%
--> An hour = (60/15)*12 = 48 (%)
--> After an hour charged = 40 + 48 = 88%
Video game player
- Already has 20%
- Each 10 minutes additional 12%
--> An hour = (60/10)*12 = 72 (%)
--> After an hour charged = 20 + 72 = 92 (%)
b. To charges 100 minutes:
MP3 player
100 = 40 + ((x/15*12)
--> x = 75 (minutes)
Video game player
100 = 20 + ((x/10*12)
--> x = 67 (minutes)
When there is a relationship between two factors?
A relationship between two factors exists when one factor is related to or affects the other factor in some way.
What is the relationship between the two variables?
This relationship between the two variables is called a correlation. The amount of correlation, or relationship, can be explained in a numerical form called a correlation coefficient. A correlation coefficient is defined as a numerical representation of the strength and direction of the relationship.
A relationship between two factors exists when one factor is related to or affects the other factor in some way. This can be a direct relationship, where one factor directly causes a change in the other factor, or an indirect relationship, where one factor influences the other factor through a third factor.
There are many types of relationships that can exist between two factors, including:
Positive relationship: When one-factor increases, the other factor also increases.
Negative relationship: When one-factor increases, the other factor decreases.
No relationship: When there is no connection between the two factors and changes in one factor do not affect the other.
Correlation: When two factors are related, but the relationship is not necessarily causal.
The nature of the relationship between two factors can be determined through statistical analysis or by examining the factors in the context of a particular situation.
Hence, A relationship between two factors exists when one factor is related to or affects the other factor in some way.
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normal distribution has a mean of 196 and a standard deviation of 18.5. using the Empirical Rule; what percentage of the distribution would you expect to fall between 177.5 and 214.5? A. About 99.7% B. About 68%
C. About 95% D. About 80%
C. About 50%
Normal distribution has a mean of 196 and a standard deviation of 18.5. using the Empirical Rule 68% of the distribution would we expect to fall between 177.5 and 214.5.
The correct answer is B. About 68%.
The Empirical Rule, also known as the 68-95-99.7 Rule, states that for a normal distribution:
- About 68% of the data falls within one standard deviation of the mean
- About 95% of the data falls within two standard deviations of the mean
- About 99.7% of the data falls within three standard deviations of the mean
In this case, the mean is 196 and the standard deviation is 18.5. One standard deviation from the mean would be between 177.5 (196 - 18.5) and 214.5 (196 + 18.5). Therefore, we would expect about 68% of the distribution to fall between 177.5 and 214.5, according to the Empirical Rule.
Answer: B. About 68%
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6
Find the area of the shape.
Either enter an exact answer in terms of π or use 3.14 for π and enter your answer as a decimal.
units2
Answer:
\(27\pi\)
Step-by-step explanation:
The area of a circle with radius 6 is
\(\pi (6)^2 =36\pi\)
The figure shows 3/4 of such a circle, so the area is
\(\frac{3}{4}(36\pi)=27\pi\)
HELP PLS THIS IS A TEST QUESTION
Which linear inequality is represented by the graph?
y<1/2x+2
y>1/2x+2
y<1/3x+2
y>1/3x+2
Answer:
y<1/2+2
Step-by-step explanation:
Answer:
I think the answer is A because I learned about slope last year
please solve the problem
The value of x in the remote angles of the triangle is 22.
How to find external angle of a triangle?The exterior angle theorem states that the measure of an exterior angle of a triangle is greater than either of the measures of the remote interior angles.
In other words the sum of the remote interior angle is equals to the external angle.
Therefore,
110 = 3x + 2x
110 = 5x
divide both sides by 5
110 / 5 = 5x / 5
x = 22
Therefore, using exterior angle theorem, the value of x is 22.
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Write the expression in Standard form.
i√5
steps:
negative square root is called a complex number
for a negative square root standard form means have an i in the number
i = √-1
standard form for a complex number is
a+bi
√-5 = √5 x √-1
i√5
michael lipp
brian mclogan
pharmaceutical company conducts an experiment in which a subject takes 75 mg of a substance orally. the researchers measure how many seconds it takes for one quarter of the substance to exit the bloodstream. what kind of variable is the company studying?
The pharmaceutical company uses the quantitative variable to conducts an experiment.
Variables:
A variable is a characteristic of an object. Their values may occur more than once for a set of data. We consider just two main types of variables in this course.
Quantitative Variables - Variables whose values result from counting or measuring something.
Qualitative Variables - Variables that are not measurement variables. Their values do not result from measuring or counting.
Given,
A pharmaceutical company conducts an experiment in which a subject takes 75 mg of a substance orally.
And the researchers measure how many seconds it takes for one quarter of the substance to exit the bloodstream.
Here we need to find the kind of variable is the company studying.
Here the company uses the Qualitative Variable because here they measure the effects of the medicine not the measurement.
So, the experiment uses the Qualitative Variable.
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To eliminate the terms and solve for y in the fewest steps, by which constants should the equations be multiplied by before adding the equations together? First equation: 9x + 3y = -18 Second equation: 8x + 7y = 10
Answer:
y = 6
Step-by-step explanation:
You should always multiply by the easiest choice(which I see is multiplying the 7 and the 3 to get 21
7(9x + 3y = -18)
-3(8x + 7y = 10)
63x + 21y = -126
-24x -21y = -30
39x = -156
and solve to get x = -4
then plug -4 into x any of the equations to get y = 6
( 8(-4) + 7y = 10
-32 + 7y = 10
7y = 42
y = 6)
Answer:
The first equation should be multiplied by - 7 and the second equation by 3 .
Step-by-step explanation:
answer on edge
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In circle D, m/EBC = 51°. Solve for x if mEC = (5x - 33)°. If necessary,
round your answer to the nearest tenth.
B
E
The measure of the value of x in the given circle is 27
What is an inscribed angle?In geometry, an inscribed angle is the angle formed in the interior of a circle when two chords intersect on the circle.
Given that a circle D, having an inscribed angle ∠ EBC measuring 51° and an arc covered by it is arc EC measuring 5x-33, we are to find the value of x,
We know that,
The Inscribed Angle Theorem states that the measure of an inscribed angle is half the measure of its intercepted arc.
Therefore,
m ∠ EBC = 2 arc EC
5x-33 = 2×51
5x-33 = 102
5x = 135
x = 27
Hence, the measure of the value of x in the given circle is 27
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The figure is not given, the question is solved for the attached figure.
The parallelogram shown below has an area of 15 units squared.
Answer:
Step-by-step explanation:
The area formula of a parallelogram is the same as the area formula of a rectangle, it is A=bh.
Given that area is 15 units, A = 15.
On the graph, we can see that base is 3 units. b = 3.
plug in the values into the formula,
\(15 = 3 * h\\h = 15 / 3 = 5\)