Answer:
See Explanation
Step-by-step explanation:
[tex] \sec \: x - cos \: x = \sin \: x \tan \: x \\ \\ LHS = \sec \: x - cos \: x \\ \\ = \frac{1}{ \cos x} - cos \: x \\ \\ = \frac{1 - { \cos x}^{2} }{ \cos x} \\ \\ = \frac{ { \sin x}^{2} }{ \cos x} \\ \\ = \frac{ \sin \: x \times \sin x}{ \cos x} \\ \\ = \sin x \: tan x \\ \\ = RHS \\ \\ thus \: proved \\ [/tex]
Describe the possible values of x.
Answer:
70x - 70 if it means 5 * 7 * (2x - 2)
Step-by-step explanation:
Find the general solution of the given higher-order differential equation. y''' + 3y'' + 3y' + y = 0
Answer:
[tex]y(x)=c_1e^{-x}+c_2xe^{-x}+c_3x^2e^{-x}[/tex]
Step-by-step explanation:
We can determine the characteristic equation all we have to do is:
let y' = m, hence y" = m², y'" = m³
Therefore, the higher-order differential equation becomes:
m³ + 3m² + 3m + 1 = 0
(m + 1)(m² + 2m + 1) = 0
(m + 1)(m + 1)(m + 1) = 0
(m + 1)³ = 0
m = -1, -1, -1
Therefore the general solution is given as:
[tex]y(x)=c_1e^{-x}+c_2xe^{-x}+c_3x^2e^{-x}[/tex]
[tex]c_1,c_2,c_3\ are\ constants.[/tex]
A survey of 800 college seniors resulted in the following crosstabulation regarding their undergraduate major and their plan of going to graduate school. Compute the row percentages.
A. Yes = 35% and No = 65% Business = 25%, Engineering = 30%, and Others = 45%
B. Yes = 48% and No = 52% Business = 31.5%, Engineering = 36.5%, and Others = 32%
Incomplete question. Attached is an image of the table.
Step-by-step explanation:
A.
Yes = 35% = [tex]\frac{280}{800} * 100 =[/tex] 35%. and No = 65% = [tex]\frac{520}{800} * 100 =[/tex] 65%
Business = 25% = [tex]\frac{70}{280} * 100 =[/tex] 25%.Engineering = 30% = [tex]\frac{84}{280} * 100 =[/tex] 30%. and Others = 45% = [tex]\frac{126}{280} * 100 =[/tex] 45%.The sum of two squares of two consecutive numbers is 145. What are those two numbers?
Answer:
8 and 9
Step-by-step explanation:
Answer:
Think!
72 + 82 = 49 + 64 = 113
82 + 92 = 64 + 81 = 145
Step-by-step explanation:
Found the answer by simple experimentation.
hope this helps
I need to find what the square root is to 19,478,730. my teacher literally put that. help
Answer: 4413.5
Step-by-step explanation:
4413.47142 if you need to be exact
Write the number in
standard form
6 tens+7=
Answer:
60 + 7 =
Step-by-step explanation:
its correct lol omg sjsjsjjsjsjsssjsjsnsnssn
Answer:
Answer: 67
10 x 6 + 7 = 67
Given h(x) = 5x + 3. what is the value of h(-11)
Answer:
h(-11)=-52
Step-by-step explanation:
Answer:
h(x)=52
Step-by-step explanation:
so x= -11 now plug in for x and solve
5(-11)+3
-55+3= -52
2 1.3.3 Quiz: Random Sampling
Question 1 of 10
Three national news networks are trying to estimate what percentage of
American voters support a particular presidential candidate. To estimate the
population parameter, each of the three networks collect data from a simple
random sample of voters. Here are the numbers of voters in the networks'
random samples:
• Network A: 3800 voters sampled
• Network B: 3500 voters sampled
• Network C: 3250 voters sampled
Which sample is likely to have the least variability?
A. The Network A sample
OB. The Network B sample
OC. The Network C sample
Answer:
A. The Network A sample
Step-by-step explanation:
The variability of a dataset is a measure of how values in the dataset deviates from the mean value, the variability of a dataset is usually measured using the variance and standard deviation of the data values.
In statistics, variability is curbed by increasing the sample size of the data as larger values in the sample usually means that the sample mean will be close to the population mean. Hence, since network A has the highest number of Sampled voters, then Network A will likely have lesser variability than both Network B and C. Similarly, Network B will likely have lesser variability than Network C.
Network A: 3800 voters sampled
• Network B: 3500 voters sampled
• Network C: 3250 voters sampled
Answer:
A.
Step-by-step explanation:
Just took the test
A university designs its campus with a master plan of two concentric circles. All of the academic buildings are within the inner circle (so that students can get between classes in less than 10 minutes), and the outer circle contains all the dormitories, the Greek park, cafeterias, the gymnasium, and intramural fields. Assuming the center of campus is the origin, write an equation for the outer circle if the diameter is 3800 feet. Equation Editor
Answer:
[tex]x^2+y^2=36100000[/tex]
Step-by-step explanation:
Here it is mentioned that the there are two concentric circles this means that they have the same center.
The center of the circles are the origin [tex](0,0)[/tex].
Radius of the outer circle is
[tex]r=\dfrac{3800}{2}=1900\ \text{m}[/tex]
Equation of a circle
[tex](x-a)^2+(y-a)^2=r^2[/tex]
where
[tex]a\ \text{and}\ b\ \text{are the}\ x\ \text{and}\ y\ \text{coordinates of the center}[/tex]
[tex]r=\text{Radius of the circle}[/tex]
Here the equation will be
[tex](x-0)^2+(y-0)^2=1900^2\\\Rightarrow x^2+y^2=3610000[/tex]
The equation of the outer circle is [tex]x^2+y^2=3610000[/tex]
(01.04 MC)
What is the slope of the line which passes through (2,5) and (3, 6)? (5 points)
Answer:1
Step-by-step explanation:6-5/3-2=1/1
The population of the United States increased by 27323632 in 2011. What proportion of this change is accounted for by Florida population? Round to the nearest hundredth. The population change for Florida is 218929 in 2011. Plz help
Answer:
To the nearest hundredth, this has a value of 0.01
Step-by-step explanation:
To find the proportion of the population change accounted for by Florida population, we just need to divide the population change for Florida by the population change in the entire country;
Mathematically, that will be ;
218929/27323632 = 0.008012441391393
To the nearest hundredth, this represents 0.01
PLEASE HELP!!!!!!!!BRAINLIEST PLUS 16 POINTS
y = −5x2 + 10x + 12.
Part A: Show your work to complete the square of the function. (1 point)
Part B: Identify the vertex of the function. (1 point)
Part C: Explain how to determine the maximum or minimum value of the function. (2 points)
Answer:
5x2=10+10=20+12= 32.
Step-by-step explanation
The correct answer is 32.
Hope I helped.
Question
A line with a positive slope Is parallel to one of the lines shown. What is its slope? Use the graph shown
below.
The slope is
Answer:
¼
Step-by-step explanation:
The slope of the line which is positive, will be the same as the slope any of the given line that has a positive slope also.
Thus, how do we know which line we should we calculate the slope for? The line that shows a positive slope would be the line we are to calculate the slope.
The blue line shows a positive slope. We know this because positive slope usually slants up as from our left to our right.
The red line has a negative slope. It slants down from left to right.
Next, find the slope of the blue line using the coordinates of any two points on the line. Let's use the following points, (0, 2) and (4, 3)
[tex] slope(m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 2}{4 - 0} [/tex]
[tex] slope(m) = \frac{1}{4} [/tex]
The slope of the line that is parallel to the blue line is ¼.
The length of a rectangle is 4 feet less than twice its width, while the perimeter is 15.
Answer:
width: 3.83
length: 3.66
Step-by-step explanation:
The perimeter of a triangle is calculating by adding all the sides together (length + length + width + width). Since we are given the formula for the length we can simply substitute that formula and solve for the width which would be the only variable in the equation.
length + length + width + width = 15
(2w-4) + (2w-4) + w + w = 15 ... combine like terms
6w - 8 = 15 ... add 8 on both sides
6w = 15 ... divide both sides by 6
w = 3.83
Now that we know the value for the width we can plug it into the formula for the length to find its value
l = 2w - 4
l = 7.66 - 4
l = 3.66
Finally, we can see that the rectangle has a width of 3.83 and a length of 3.66
What is the measure of BDC
Answer:
105 degrees
Step-by-step explanation:
180 - 75 = 105
Expand the following expression 3(4−5x)
Answer:
12-15x
Step-by-step explanation:
3 × 4=12
3 × -5x=-15x
12 - 15x
The value of a car dropped from $35,600 to $30,189 over the last year. Determine the absolute and relative
change in this situation. Round your answer to the nearest hundredth.
Absolute change=
Relative change=
Step-by-step explanation:
Given data
old price= $35,600
new price=$30,189
Absolute change= old price -new price
Absolute change=35,600-30,189
Absolute change=5411
Relative change=(old price -new price)/old
Relative change=(35,600-30,189)/35,600
Relative change=5411/35,600
Relative change=0.151
the relative change is a percentage= 0.151*100= 15.1%
What is the percent of decrease from 2,000 to 1,000?
Answer:
50%
Step-by-step explanation:
2,000 is 2 x more than 1,000. Or, 1,000 is half of 2,000 and half of 100%=50%.
Plot point F so that △ABC ≅ △FGH. Identify a sequence of rigid motions that maps △ABC onto △FGH and use a theorem to complete the explanation of why the triangles are congruent.
Answer:
Step-by-step explanation:
Point F is plotted at (5, 4)
Translate ΔABC so that point B maps to point G.
B(1, -1) → G(0, 3)
Rule for the translation,
(x, y) → [x - 1, y + 4]
By this rule,
Point C will map the point,
C(-1, -2) → C'[(-1 - 1), (-2 + 4)]
→ C'(-2, 2)
A(-4, 0) → A'[(-4 - 1), (0 + 4)]
→ A'(-5, 4)
Now reflect these points across y-axis.
Rule for the reflection across y-axis,
(x, y) → (-x, y)
Points after reflection will be,
A'(-5, 4) → F(5, 4)
B'(0, 3) → G(0, 3)
C'(-2, 2) → H(2, 2)
Distance formula,
d = [tex]\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
AB = [tex]\sqrt{(1+4)^2+(-1-0)^2}[/tex] = [tex]\sqrt{26}[/tex]
BC = [tex]\sqrt{(-2+1)^2+(-1-1)^2}[/tex] = [tex]\sqrt{5}[/tex]
CA = [tex]\sqrt{(-4+1)^2+(-2-0)^2}[/tex] = [tex]\sqrt{13}[/tex]
FG = [tex]\sqrt{(5-0)^2+(4-3)^2} =\sqrt{26}[/tex]
GH = [tex]\sqrt{(2-0)^2+(2-3)^2}=\sqrt{5}[/tex]
HF = [tex]\sqrt{(4-2)^2+(5-2)^2}=\sqrt{13}[/tex]
AB ≅ FG, BC ≅ GH, CA ≅ HF
By the SSS property Triangle congruence theorem, ΔABC ≅ ΔFGH
13. Find the slope of the line that contains (3, 1) and (1, 1).
Answer:
slope would be zero
Step-by-step explanation:
It is not moving on the graph
Hope this helps!
find the missing terms in the arithmetic sequences
a). -45, _ , _ , _, -39
b) -34,_,_,77
The value of n is a distance of 3 units from 1 an 1/2 on a number line click on the number line to the possible values of n
Answer:
3
Step-by-step explanation:
Given the question :
The value of n is a distance of 3 units from 1 an 1/2 on a number line click on the number line to the possible values of n
From the context of the expression:
n is the distance which exists between 1 1/2 and 3 units from it;
Which may be ;
1 1/2 - - - - (1 1/2 + 3) = 4 1/2
1 1/2 - - - - - (3 - 1 1/2)
Either way, there exists a distance of 3 units between 1 1/2 and 3 units from it.
Hence, n = 3
Answer:
1 and 3 would both be correct
How can I prove to my teacher I’m smart when I’m a kinda low-key student to her. Especially in mathematics.
Answer:
Do your work? Especially if you do it fast, it amazes them lol
The class has a ratio of 5 boys for every 8 girls. If the school has 312 students, how many are boys
Answer:
120, if I did it right
Step-by-step explanation:
In a group of 13 students, 5 are boys. Turn that into a fraction, 5 over 13 or 5/13. Just multiply 5/13 times 312 and you get your answer, 120.
Mr. Morales purchased 218 acres of land for his farm. If the total price of the land was $163,282, how much did each acre cost?
Answer:
$749 each
Step-by-step explanation:
What is the slope of a line parallel to a line whose slope is 5/2?
Answer:
5/2
Step-by-step explanation:
Parallel lines have the same slopes
Answer:
Step-by-step explanation:
because the new line is parallel, it will have the same slope as the original equation.
slope
=
−
3
we know the slope and a point, so we can use the point slope formula:
y
−
y
1
=
m
(
x
−
x
1
)
y
1
is the y coodinate,
x
1
is the x coordinate,
and m is the slope
plug the values in
y
+
2
=
−
3
(
x
+
5
)
The integrity of financial statement presentations and disclosures is enhanced when
a) The financial statements are audited by a CPA.
b) The financial statements are prepared in an environment that includes a strong system of internal control.
c) The financial statement preparers have the appropriate education and experience necessary.
d) All of the above.
Answer:
All of the above
Step-by-step explanation:
In this question, we want to select which of the options can enhance the integrity of financial statements preparations and disclosure.
The correct answer is the last option which is all of the above
The last option is correct because each of the individual options above it will enhance the integrity.
A financial statement with integrity is one which is audited by the CPA, prepared in an environment with strict interval control and overall the people who are in charge of preparing it are experienced people
Does the following road sign have rotational symmetry?
Yes
No
Answer:
YES
Step-by-step explanation:
ITS JUST YES
890 g of copper is mixed with 100 g of zinc to form brass. The density of copper is 8.9 g/cm³ and the density of zinc is 7.1 g / cm ³ .
a ) What is the volume of copper and zinc used to make the brass ?
b ) Calculate the density of the brass .
Density ρ is equal to mass m per unit volume v, or
ρ = m / v
Solve for volume:
v = m / ρ
(a) 890 g of copper, which has a density of 8.9 g/cm³, has a volume of
v = (890 g) / (8.9 g/cm³) = 100 cm³
100 g of zinc, with density 7.1 g/cm³, has a volume of
v = (100 g) / (7.1 g/cm³) ≈ 14.08 cm³
(b) The density of brass is then
ρ = (890 g + 100 g) / (100 cm³ + 14.08 cm³) ≈ 8.68 g/cm³
How many solutions does this equation have?
7a+5(a+3) = 8a+4(a+2)
Answer:
There is no solution
Step-by-step explanation: