Answer:
180 degrees are in a triangle.
Suppose that A = {2,4,6}, B = {2,6}, C = {4,6}, and D = {4, 6, 8}. Determine which of these sets are subsets of which other of these sets.
Answer:
Sets B and C are subsets of set A
The average age of 6 men is 35 years and
the average age of four of them is 32 years.
Find the ages of the remaining two men if
one is 3 years older than the other.
Answer:
39.50
42.50
Step-by-step explanation:
Age of the 2 men = sum of the ages of the 6 men - sum of the ages of the 4 men
Average = sum of ages / total number of men
35 = sum of ages / 6
sum of ages = 35 x6 = 210
32 = sum of ages / 4
32 x 4 = sum of ages
128
210 - 128 = 82
age of the younger man = x
age of the older man = 3 + x
x + 3 + x = 82
2x + 3 = 82
2x = 82 - 3
2x = 79
x = 79/2 = 39.5
older man = 39.5 + 3 = 42.50
If cotangent of theta is < 0, in which quadrant(s) could the terminal side of
angle theta lie?
Q2 and Q4
02 and 03
Q3 only
04 only
Answer:
Q2 and Q4
Step-by-step explanation:
Trigonometric functions and quadrants:
In x is in the first quadrant, cos(x) > 0 and sin(x) > 0.
In x is in the second quadrant, cos(x) < 0 and sin(x) > 0.
In x is in the third quadrant, cos(x) < 0 and sin(x) < 0.
In x is in the fourth quadrant, cos(x) > 0 and sin(x) < 0.
Cotangent:
The cotangent is the cosine divided by the sine.
Cotangent negative, which quadrants?
It is negative when sine and cosine have opposite signals. So in the second and the fourth quadrant, that is, Q2 and Q4.
Answer the following.
What is the perimeter of the shape shown on the
right?
Use u = 3.14 and round your answer to 1 decimal
place
1 cm
Answer:
13.1 cm
Step-by-step explanation:
5+5=10
1/2x2π1=3.14
10+3.14=13.14
I don’t know how to figure out how many roots is has
Answer:
1) 3 roots
2) 2 roots
3) 4 roots
Answer:
first one has 3 roots
second one has 2 roots
third one has zero roots
help with this please
Answer:
I think the answer to this would be 93.40
Need help finding the value of “X”
Find the equation of the quadratic function determined from the graph above.
Nonsense = Report
Find the equation of the quadratic function determined from the graph above.
Solution:-The vertex of the graph of the quadratic function is (2, -3). The graph passes through the point (5, 0). By replacing x and y with 5 and 0, respectively, and h and k with 2 and -3, respectively we have,
[tex]\sf\rightarrow{y=a(x-h)²+k}[/tex]
[tex]\sf\rightarrow{O=a(5-2)²-3}[/tex]
[tex]\sf\rightarrow{0=a(3)²-3}[/tex]
[tex]\sf\rightarrow{3=9a}[/tex]
[tex]\sf\rightarrow{a=\frac{1}{3}}[/tex]
Answer:-Thus, the quadratic equation is...[tex]\sf\rightarrow{y=\frac{1}{3}(x-2)²-3}[/tex]
or,
[tex]\sf{y=\frac{1}{3} \: x²-\frac{4}{3} \: x-\frac{5}{3}}[/tex]
=====================#Hope it helps!
(ノ^_^)ノ
Answer:
y = (x-2)²/3 - 3
Step-by-step explanation:
the vertex is at (2,-3), so the vertex form of the function is
y = A(x-2)²-3
where A is a constant to be found.
We see that when x=5, y=0, so substitute values to find A.
0 = A(5-2)² - 3
solve for A to get
A(3²) = 3
A = 1/3
So the equation is
y = (x-2)²/3 - 3
Check for x = -1
y = (-1-2)²/3 - 3 = 0 checks
Match the following research designs to the appropriate inferential statistic Group of answer choices Predictor: categorical with 4 levels; Outcome: categorical with 2 levels [ Choose ] Predictor: categorical with 2 levels; Outcome: continuous [ Choose ] Predictor: continuous; Outcome: continuous [ Choose ] Predictor: categorical with 4 levels; Outcome: continuous
Answer:
Chisquare test
t - test
Correlation
ANOVA, F ratio.
Step-by-step explanation:
The Chisquare test is suitable for testing categorical variables with factors levels more than 3.
The t test of independence is suitable for testing continous variable, however re we use the two independent sample t test.
Correlation test is used to examine the relationship between two continous variable, cannot be used for categorical variables.
Analysis of Variance is use to test categorical variables with at lead three factor levels. The F ratio allows measurement and establishing of statistical significance exists between variables.
where is the vertex located at?
Answer:
The vertex of [tex]f(x) = |x-3| + 6[/tex] is [tex](x,y) = (3, 6)[/tex].
Step-by-step explanation:
The vertex of the absolute value function is the point where [tex]|x-3| = 0[/tex]. Hence, the coordinates of the vertex are, respectively:
[tex]x-3 = 0[/tex]
[tex]x = 3[/tex]
[tex]y = |x-3| + 6[/tex]
[tex]y = |3-3|+6[/tex]
[tex]y = |0|+6[/tex]
[tex]y = 0 + 6[/tex]
[tex]y = 6[/tex]
The vertex of [tex]f(x) = |x-3| + 6[/tex] is [tex](x,y) = (3, 6)[/tex].
What line describes the line parallel to y= -1/3x+5 ?
Answer:
C. y = -1/3 + 1
Step-by-step explanation:
Parallel equations have the same slope.
The sound level of a jet plane is approximately 140 dB. The intensity of the sound of a jet plane is approximately
.
Answer:
280 DB
Step-by-step explanation:
If the sound level of a jet plane is approximately 140 dB, the intensity of the sound of a jet plane is approximately 100dB
What is sound level?Sound level is the intensity to measure the sound. Decibels are used to quantify sound levels.
The sound level of a jet plane is expressed according to the expression given:
β = 10log(I/I0)
Given the following parameters
β = 140dB
I0 = 10^-12 W/m²
For required Intensity "I" Substitute:-
140 =10log(I/10^-12)
14 = log(I/10^-12)
10^14 = I/10^-12
I = 10^14 * 10^-12
I = 10^2
I = 100dB
Hence if the sound level of a jet plane is approximately 140 dB, the intensity of the sound of a jet plane is approximately 100dB
learn more intensity of sound here:
brainly.com/question/9367064
#SPJ2
were there leftovers?
Answer:
Yes, if you didn't eat all 5 of your pizzas young man.
Step-by-step explanation:
he function a = –2x2 + 8x + 5 models the altitude a in feet of a ball thrown in the air and the horizontal distance in feet that the ball travels. Which is the vertex form of the function? (i just need part b answer)
Answer:
for part b the vertex is (2, 13)
Step-by-step explanation:
no (ice)
Answer:
It could be (2, 13)..
Step-by-step explanation:
Find the weighted mean
Answer:
10.1
Step-by-step explanation:
weighted mean = sum of the multiplication of frequency and value /sum of frequency
sum of frequency = 5 + 5 + 5 + 21 = 36
sum of the multiplication of frequency and value = (16 x 5) + (20 x 5) + (16 x 5) + ( 5 x 21) = 365
365/36 = 10.1
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
A density curve for all the possible weights between 0 pounds and 10 pounds is in the shape of a rectangle. What is the height of the rectangle in this density curve? O A. 0.01 OB. 0.001 O c. 0.1 O D. 0.0001 SUBMIT
Answer:
0.1
Step-by-step explanation:
For a density curve, total area = 1
Probability lies in between 0 and 1
The Area of rectangle :
Area = Length * width
Length = 0 - 10 = 10
Area = 1
Hence,
Area = Length * width
1 = 10 * w
1 = 10w
w = 1 /10
w = 0.1
choose the best selection for the quadrilateral with vertices at the following points: (-3,0), (3-, -3), (0, -3), (0,0)
Answer:
B. Square
Step-by-step explanation:
6.Write the equation of the line that goes through (4, –6) and (1, 2). Put your answer in Slope–Intercept Form.
Answer:
Step-by-step explanation:
y ≈ -2.667x + 4.667
what is the slope of a line between (-4,14) and (-16,8)
Answer:
[tex] \frac{1}{2} [/tex]
Step-by-step explanation:
slope :
[tex]slope \: = \: \frac{y2 - y1}{x2 - x1} = \frac{8 - 14}{ - 16 - - 4} = \frac{ - 6}{ - 12} = \frac{1}{2} [/tex] = 0.5
Simplify (4x^3)^5 ????
Answer:
1024x^15
Step-by-step explanation:
First, we'll do 4 to the 5th power which results in 1024
Next, we'll multiply the exponents following the laws of exponents, so 3 times 5=15
This results in 1024x^15
Hope I helped :)
Answer:
[tex]1024 {x}^{15} [/tex]
Step-by-step explanation:
[tex](4 {x}^{3} ) ^{5} \\ {4}^{5} \times {x}^{3 \times 5} \\ 1024 {x}^{15} [/tex]
hope this helps you.
Have a nice day!
francis is ten years old. ben is twice as old as francis .what is the age of ben?
Answer:
Collage math (hehe) ... Ben is 20
Step-by-step explanation:
Give me Brainiest Answer Award please and thank you! :D
Arithmetic
If Francis is ten years old, then Ben is twenty.
10x2=20
What should be done to solve the following equation x-9=13
Answer and Step-by-step explanation:
To find x, we need to add 9 to both sides of the equation.
x = 22 <-- This is the answer.
#teamtrees #PAW (Plant And Water)
Answer:
X=22
Step-by-step explanation:
X-9=13
X=13+9
X=22
Statisticians prefer large samples. Describe briefly the effect of increasing the size of a sample (or the number of subjects in an experiment) on each of the following:
1. Increases
2. Decreases
3. Unaffected
A. The margin of error of a 95% confidence interval.
B. The P-value of a test, when H0 is false and all facts about the population remain unchanged as n increases.
C. The power of a fixed level test when the alternative hypothesis, and all facts about the population remain unchanged.
Answer:
Margin of Error decreases
Pvalue decreases
Power increases
Step-by-step explanation:
The margin of error decreases as sample size increases given the same level of confidence, hence, the interval gets narrower.
The margin of error = (Zcritical * σ/√n) ; where, n is the denominator, as the denomination increases, the obtained value will decrease, hence, the margin of error.
When we have a false H0, then we expect a statistical result which will reject H0, with all facts remaining unchanged , increase in sample size n, will lead to decrease in Pvalue, because a lower P value increases the significance of statistical test needed to reject H0.
The power of a fixed level test when the null hypothesis is true, higher power is required to reject the null , increasing n will increase the probability of rejecting H0, by increasing the power of a fixed level test.
Simplify 2x-x+4x pls help me out
Answer:
Step-by-step explanation:
2x-x = x
x+4x = 5x
5x is the answer
Answer:
5x
Step-by-step explanation:
2x - x + 4x =
x + 4x =
5x
Simplify the expression in enter your answer below (15 1/5)^5
Answer:
Improper:
76/5
Take it to the power of 5.
2373046875/25
Find the area of the bedroom with the shape shown in the figure, in square feet. A) 67 ft2 B) 106 ft2 C) 506 ft2 D) 548 ft2
Answer:
[tex] \large{ \tt{❃ \: EXPLANATION }}: [/tex]
Firstly , See the attached picture! :) I splitted the provided figure into two rectangles i.e namely small rectangle & big rectangle ![tex] \large{ \tt{❁ \: LET'S \: START}} : [/tex]
Find out the area of small rectangle having length of 14 ft & width of 12 ft :[tex] \large{ \tt{ ↦ AREA\: OF \: SMALL \: RECTANGLE= L \times W = 14 \times 12 = \boxed{ \tt{168 \: {ft}^{2} }}}}[/tex]
Find out the area of big rectangle having length of 20 ft and width of 19 ft :[tex] \large{ \tt{↦AREA \: OF \: BIG \: RECTANGLE = L \times W = 20 \times 19 = \boxed{ \tt{380 \: {ft}^{2} }}}}[/tex]
Now , Add the area of small rectangle & area of big rectangle :[tex] \large{ \tt{☄ \:TOTAL \: AREA = AREA \: OF \: SMALL \: RECTANGLE + AREA \: OF \: BIG \: RECTANGLE}}[/tex]
[tex] \large{ \tt{⇢168 \: {ft}^{2} + 380 \: {ft}^{2} }}[/tex]
[tex]⇢ \boxed {\boxed{ \large{ \tt{548 \: {ft}^{2} }}}}[/tex]
[tex] \large{ \boxed{ \tt{⇝ \: OUR\: FINAL\: ANSWER : \boxed{\underline{ \tt{D. \: 548 \: {ft}^{2} }}}}}}[/tex]✺ WORK HARD! So that tommorrow , your parents can be recognized by your name!♡Hope I helped! ツ
☼Have a wonderful day / evening !☃
# StayInAndExplore !☂
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Find the area of the regular polygon. Round to the nearest tenth.
Answer:
3462.8 squared unit
Step-by-step explanation:
Applying,
A = nh²tan(360/n)......... equation 1
Where A = area of the regular polygon, n = number of sides of the polygon, h = length of the apothem.
From the question,
Give; n = 5 sides, h = 15
Substitute these values into equation 1
A = 5×15²×tan(360/5)
A = 1125×tan72
A = 1125×3.078
A = 3462.75
A = 3462.8 squared unit
Triangle DEF measures as shown below. What is x in the diagram?
E
50"
1050
F
D
Answer:
option D
Step-by-step explanation:
Exterior angle = sum of interior
105 = 50 + x
105 - 50 = x
55° = x
What should be subtracted from the product of
3/7 and 2/5 to get -4/35?
[tex]\implies {\pink {\boxed {\boxed {\purple {\sf { \: x = \frac{2}{7}}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
Let [tex]x[/tex] be the unknown number.
As per the question, we have
[tex] \: ( \frac{3}{7} \times \frac{2}{5} ) - x = \frac{ - 4}{35} [/tex]
➺[tex] \: \frac{6}{35} - x = \frac{ - 4}{35} [/tex]
➺[tex] \: - x = \frac{ - 4}{35} - \frac{6}{35} [/tex]
➺[tex] \: - x = \frac{ - 4 - 6}{35} [/tex]
➺[tex] \: - x = \frac{ - 10}{35} [/tex]
➺[tex] \: x = \frac{2}{7} [/tex]
Therefore, [tex] \frac{2}{7} [/tex] should be subtracted from the product of [tex] \frac{3}{7} [/tex] and [tex] \frac{2}{5} [/tex] to get [tex]\frac{ - 4}{35} [/tex].
[tex]\large\mathfrak{{\pmb{\underline{\orange{To\:verify}}{\orange{:}}}}}[/tex]
[tex] \: ( \frac{3}{7} \times \frac{2}{5} ) - x = \frac{ - 4}{35} [/tex]
➼[tex] \: ( \frac{6}{35} ) - \frac{2}{7} = \frac{ - 4}{35} [/tex]
➼[tex] \: \frac{6}{35} - \frac{2 \times 5}{7 \times 5} = \frac{ - 4}{35} [/tex]
➼[tex] \: \frac{6 - 10}{35} = \frac{ - 4}{35} [/tex]
➼[tex] \: \frac{ - 4}{35} = \frac{ - 4}{35} [/tex]
➼[tex] \: L.H.S.=R. H. S[/tex]
[tex]\sf\purple{Hence\:verified. }[/tex]
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{☂}}}}}[/tex]
PLEASE HELP !!!!! ASAP PLEASE !!!! IM BEGGING LOL !!!!
Step-by-step explanation:
Hey there!
From the given figure;
Angle ABE = 90°.
And angle ABC= [(3x+7)° + (5x+11)°].
Now, Angle ABE + Angle ABC= 180° [Being linear pair].
or, 90° + (3x+7)° + (5x+11)°= 180°
or, (3x+7)° + (5x+11)°= 90°
or, 8x + 18° =90°
or, 8x = 90°-18°
or, X = 9°
Therefore, X= 9°.
Now,
Angle DBC = (5*9+11)°
= 56°
Therefore, the measure of angle DBC is 56°.
Hope it helps!
[tex]\huge\bold{To\:find:}[/tex]
✎ The measure of ∠ DBC.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]\sf\purple{The\:measure\:of\:∠DBC\:is\:56°. }[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
Since it is right-angle,
[tex]Sum \: of \: angles \: = 90° \\ ⇢ (3x + 7)° + (5x + 11) ° = 90° \\ ⇢3x° + 7° + 5x° + 11° = 90° \\combining \: the \: like \: terms, \: we \: have \\ ⇢3x° + 5x° + 7° + 11° = 90° \\ ⇢8x° = 90° - 18° \\ ⇢8x° = 72° \\ ⇢x° = \frac{72°}{8} \\ ⇢x° = 9°[/tex]
Substituting the value of [tex]x°[/tex] in ∠ DBC, we have
[tex](5x + 11) °\\ = 5 \times 9° + 11 °\\ = 45° + 11° \\ = 56°[/tex]
[tex]\sf\blue{Therefore,\:the\:measure\:of\:∠DBC\:is\:56°.}[/tex]
[tex]\huge\bold{To\:verify :}[/tex]
[tex](3x + 7) ° + (5x + 11)° = 90° \\ \: ➡ \: (3 \times 9 + 7)° + (5 \times 9 + 11)° = 90° \\ ➡ \: 34° + 56° = 90° \\ ➡ \: 90° = 90° \\ ➡ \: L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]