Answer:
Facial sexual dimorphism emerges at puberty: as the size and shape of the male and female faces increase with age, faces begin to show different secondary sexual characteristics (i.e., masculine or feminine).
Help ?? Anyone and how
Answer:
just insert the x numbers in the calculation.. so for x = - 3 - > (- 3) / 2 +4 = 2.5
Step-by-step explanation:
x - 2 = y 3
and so on
-2y + 4 > 10
solve the inequality
Step-by-step explanation:
-2y+4>10
subtract 4 from both sides
-2y+4-4>10-4
-2y>6
divide both sides by two
-2/2y>6/2
-1y>3
if negative y is greater than three than you have to multiply both sides of the equation by -1
y>-3 if you put that back into the earlier equation it is impossible.
so we have to switch the signs to < or less than
y<-3
Hope that helps:)
The equation y = 10x shows how the
cost relates to the number of hours.
How much does it cost to rent a canoe
for 8 hours?
there are 60 sixth graders at wilson middle school. only 50% of the sixth graders will attend the morning assembly. how many sixth graders will be at the morning assembly?
Answer:
30 sixth graders
Step-by-step explanation:
50% = 0.50
multiply 60 by the decimal fraction of the percentage:
60 x 0.50 = 30
you can also just take 60 and divide by 2 since 50% means half
Samantha’s annual college tuition is $18,541.89. The college offers a monthly payment plan of 9 equal payments. How much would each monthly payment be?
Answer:
18541.89/9 = $2060.21 is the answer
Step-by-step explanation:
Total college tuition = $18541.89
Number of equal payments = 9
Equal payments = 18541.89/9
= $2060.21
(Please do correct me if I'm wrong as I'm not completely sure)
You have a restaurant bill of $46.32. If you are taxed 7 1/2 and decide to tip your server 20%, how much is your total?
a.
$59.75
b.
$59.05
c.
$58.92
d.
$58.87
Answer:
The correct answer is B. $59.05.
Step-by-step explanation:
Given that I have a restaurant bill of $ 46.32, if I am taxed 7 1/2 and decide to tip my server 20%, to determine how much is my total, the following calculation must be performed:
1/2 = 0.5
46.32 + (46.32 x 0.075) + (46.32 x 0.2) = X
46.32 + 3.474 + 9.264 = X
49.79 + 9.26 = X
59.05 = X
Thus, the total amount that I must pay is $ 59.05.
Answer:
b
Step-by-step explanation:
trust
6, 2, 7, 8, 8, 8, 5, 10, 10
What is the standard deviation of the data?
2.38 first cousins
2.52 first cousins
5.65 first cousins
6.36 first cousins
Answer:
2.52
Step-by-step explanation:
On edg
If f ( x ) = 1 3 x − 5 , what is f ( − 6 ) ?
Answer:
-4
Step-by-step explanation:
by finding the exact value.
1/2 of 2/2 = ???????????
Answer:
0.5
Step-by-step explanation:
I am confused on how to solve this. NOTE: the lower limit for the second function is (-6) NOT 6. Wouldn't let me type it in correctly.[tex]\int\limits^6_3 {|x-4|} \, dx + \int\limits^0_6 {\sqrt{36-x^2} } \, dx[/tex]
I think how you approach this depends on your knowledge of calculus.
If you don't know how to compute definite integrals yet, but you do know that they represent signed areas under curves, then you can plot both curves |x - 4| and √(36 - x ²), then recognize that the areas represented by these integrals are areas of geometric shapes. (See attached images)
First integral: if you plot |x - 4| on the interval [3, 6], you'll see that the integral corresponds to the area of two triangles. One of them has base = height = 1, and the other has base = height = 2. Then
[tex]\displaystyle\int_3^6|x-4|\,\mathrm dx=\frac12\times1\times1+\frac12\times2\times2=\frac52[/tex]
Second integral: if [tex]y=\sqrt{36-x^2}[/tex], then [tex]x^2+y^2=6^2[/tex], meaning this curve is the upper half of a circle with radius 6. On the interval [-6, 0], the area amounts to 1/4 of the total area of such a circle, so that
[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=\frac{\pi\times6^2}4=9\pi[/tex]
* * *
If you already know a few things about calculus and integration, you can compute these areas directly.
First integral:
[tex]\displaystyle\int_3^6|x-4|\,\mathrm dx=\int_3^4(4-x)\,\mathrm dx+\int_4^6(x-4)\,\mathrm dx[/tex]
[tex]\displaystyle\int_3^6|x-4|\,\mathrm dx=\left(4x-\frac{x^2}2\right)\bigg|_{x=3}^{x=4}+\left(\frac{x^2}2-4x\right)\bigg|_{x=4}^{x=6}[/tex]
[tex]\displaystyle\int_3^6|x-4|\,\mathrm dx=\left(\left(4\times4-\frac{4^2}2\right)-\left(4\times3-\frac{3^2}2\right)\right)+\left(\left(\frac{6^2}2-4\times6\right)-\left(\frac{4^2}2-4\times4\right)\right)[/tex]
[tex]\displaystyle\int_3^6|x-4|\,\mathrm dx=\frac52[/tex]
Second integral:
Substitute x = 6 sin(t ) and dx = 6 cos(t ) dt, then
[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=\int_{-\frac\pi2}^0\sqrt{6^2-(6\sin(t))^2} (6\cos(t))\,\mathrm dt[/tex]
[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=36\int_{-\frac\pi2}^0\cos (t) \sqrt{1-\sin^2(t)} \,\mathrm dt[/tex]
[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=36\int_{-\frac\pi2}^0\cos (t) \sqrt{\cos^2(t)} \,\mathrm dt[/tex]
[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=36\int_{-\frac\pi2}^0\cos (t) |\cos(t)| \,\mathrm dt[/tex]
For t ∈ [-π/2, 0], cos(t ) > 0, so |cos(t )| = cos(t ) :
[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=36\int_{-\frac\pi2}^0\cos^2(t)\,\mathrm dt[/tex]
Recall the half-angle identity,
cos²(t ) = (1 + cos(2t )) / 2
[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=18\int_{-\frac\pi2}^0(1+\cos(2t))\,\mathrm dt[/tex]
[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=18\left(t+\frac{\sin(2t)}2\right)\bigg|_{t=-\frac\pi2}^{t=0}[/tex]
[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=18\left(\left(0+\frac{\sin(2\times0)}2\right)-\left(-\frac\pi2+\frac{\sin\left(2\times\left(-\frac\pi2\right)\right)}2\right)\right)[/tex]
[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=9\pi[/tex]
Quadrilateral ABCD is reflected over the x-axis. What are the coordinates of
quadrilateral A'B'C'D?
Answer: A
Step-by-step explanation:
X values to the right of the y axis are positive. X values to the left of the y axis are negative.
Y values above the x axis are positive.
Y values below the x axis are negative.
Pairs of coordinates are always noted as (x,y) with the x value of a point given first and the y value of that same point given second.
Answer:
AStep-by-step explanation:
Let A=(a,b) then the reflected over the x-axis will be A'=(a,-b)
A=(5,5) --> A'=(5,-5)
B=(5,1) --> B'=(5,-1)
C=(2,1) --> C'=(2,-1)
D=(1,5) ---> D'=(1,-5)
Two boards are placed end to end to make a walkway. One board is 5 feet 11 inches long, and the other board is 4 feet 6 inches long. How long is the walkway?
Write your answer in feet and inches. Use a number less than 12 for inches.
Answer:
10 feet 5 inches long
Step-by-step explanation:
12 inches = 1 foot
11 inches + 6 inches = 17 inches = 1 foot 5 inches
1 foot 5 inches + 5 feet + 4 feet = 10 feet 5 inches
Therefore, the walking board is 10 feet 5 inches long
The two columns below give fertility of eggs of the CP strain of Drosophila melanogaster raised in 100 vials of 10 eggs each (data from R.R. Sokal). Find the expected frequencies, assuming that the mortality for each egg in a vial is independent. Use the observed mean. Calculate the expected variance and compare it with the observed variance. Interpret the results, knowing that the eggs of each vial are siblings and that the different vials contain descendant from different parent pairs. Answer: o2 = 2.417; s2 = 6.628.
Number of Eggs Hatched Number of Vials f Expected Frequency of vials
0 1
1 3
2 8
3 10
4 6
5 15
6 14
7 12
8 13
9 9
10 9
Solution :
Given the number of the edges are = 11
Therefore we take [tex]$\frac{1}{11}=0.091$[/tex]
And the number of the vials total is = 100
Thus we can multiply = [tex]$100 \times 0.091 = 9.1$[/tex]
From the table provided below, we can obtained :
1. Null hypothesis and alternate hypothesis :
The following null and alternate hypothesis needs to be tested :
[tex]$H_0:p_1=0.091, \ p_2 = 0.091, p_3=0.091, \p_4=0.091, \p_5=0.091, \p_6=0.091, \p_7=0.091,$[/tex] [tex]$p_8=0.091, \ p_9=0.091, \ p_{10}=0.091, \ p_{11}=0.091 $[/tex]
[tex]$H_a :$[/tex] some of the population differ from the values stated in the null hypothesis. It corresponds the Chi-square test that is for the Goodness of the Fit.
2. Rejection region :
It is given --
significance level, α = 0.05
number of degrees of freedom, df = 11 - 1
= 10
Then the rejection region of this test is :
[tex]$R=\{ x^2:x^2 >18.307\}$[/tex]
3. Test statistics
The Chi-Squared statistics is computed as :
[tex]$x^2=\sum_{i=1}^n \frac{(O_i-E_i)^2}{E_i}$[/tex]
[tex]$=7.21+4.089+0.133+0.089+1.056+3.825+2.638+0.924+1.671+0.001+0.001$[/tex]
= 21.638
4. Decision about null hypothesis
Since we see that : [tex]$x^2=21.638>x^2_c = 18.307$[/tex], we can concluded that we can reject the null hypothesis.
5. Conclusion :
It is concluded that the null hypothesis [tex]$H_0$[/tex] is rejected. So there is enough evidence for us to claim that the population proportions differ from that stated in null hypothesis at α = 0.05 significance level.
Working together, two copy machines can finish a copy job in 3 minutes. The slower copier can finish the job in 12 minutes. How many minutes would it take for just the faster copier to finish the job?
Answer:
4 minutes, because in 3 minutes, the slower copier has done 1/4 of the job (at a 12 minute pace ). That means that during the same 3 minutes, the faster copier did 3/4 of the job.
So the faster copier is on pace to complete the entire job in 4 minutes (3 X 4/3).
Step-by-step explanation:
Anna juices 8 quarts of juice in 1 minute. How many gallons does she have in 1 hour? (4 quarts = 1 gallon)
Answer: 120
Step-by-step explanation: 8 times 60 is 480 then converted to gallons do
480/4
Find the slope of BG, and HL using the coordinates; B(-4, 3), G(-2, 4), H(1, -2), L(-1, -3). then determine if the lines are parallel.
Answer:
0.5 or [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
BG = [tex]\frac{4-3}{-2--4}[/tex] = 0.5
HL = [tex]\frac{-3--2}{-1-1}[/tex] = 0.5
This mean that the lines are parallel ..
What is the value of the expression shown below? 2 over 3 to the power of 2 + 5 × 2 − 4
Answer:
8
Step-by-step explanation:
2+(5)(2)−4
=2+10−4
=12−4
=8
Answer:
6.2222222222 over 3 to the power of 2 + 5 × 2 − 4
Help please I really don’t understand this
Answer:
78.5/250 = 31.4%
Step-by-step explanation:
divide the area of the circle (which is 25π = 78.5 sq in) by the area of the rectangle (which is 25x10 = 250 sq in)
what is of the area of circle with a circumference of 12.56 feet?
Answer:
π= 25.12 , r=6.28
area of a circle = πr²
= 25.12×6.28²
= 25.12×39.4
= 990.6cm²
Step-by-step explanation:
circumference of a circle is 2π
radius of a circle is 2π/4
I will gicve you 80 points if answered correctly
Answer:
3. A = (0,-3)
B = (4,-2)
C = (-1,1)
4. A = (0,-6)
B = (4,-5)
C = (-1,-2)
Step-by-step explanation:
3) Reverse coordinates (-3,0), (-2,4), (1,-1) to A=(0,-3), B=(4,-2), C=(-1,1).
4) These coordinates (0,-3), (4,-2), (-1,1) need to be moved 3 units down.
So number four answer is A=(0,-6), B=(4,-5), C=(-1,-2).
I hope this helped you.
Which figures always have right angles
Answer:
rectangles, squares, and right triangles
1
Which graph corresponds to the table of values?
х
2
4
5
у
-2
2
4
А
С
B
D
Answer:
c
Step-by-step explanation:
Can someone please help meee
Answer:
90 degrees
Step-by-step explanation:
If two angles are supplementary they are a linear pair which means they form a straight line, and if you know a straight line equals 180 degrees which is the total degrees of a triangle.
Now if you have two supplementary angles and they are congruent that means not only are they right angles but its half of 180 so you divide these pair of 2 by 180 giving you your total of 90 degrees.
Have a nice rest of your day !
Help me and I’ll give you brainliest
Answer:
The answer is 21
f(x)= x2 + 5x at x = 4
Answer:
x)x+5x
Step-by-step explanation:
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{If x = 4 and f(x) = y}[/tex]
[tex]\mathsf{y = 4^2 + 5(4)}[/tex]
[tex]\mathsf{4^2 = 4 \times 4 = 16}[/tex]
[tex]\mathsf{y = 16 + 5(4)}[/tex]
[tex]\mathsf{5(4) = 20}[/tex]
[tex]\mathsf{y = 16 + 20}[/tex]
[tex]\mathsf{36= 20 + 16}[/tex]
[tex]\mathsf{y = 36}[/tex]
[tex]\boxed{\boxed{\mathsf{Answer: \bf{y = 36}}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
4. Which line represents the function y=10(1.05)^x
10 points
25
20
15
5
Blue
Green
Red
Answer:
EX: Use three coins to represent the wolf, the goat, and the cabbage. ... The slope from (0, 0) to any point (x, y) on the line will be y_ x . 8b. b 7.5. 9a. ... 11b. x 2. 10x. 25 x. 4 x x2. 4x. 7. 7x. 28. 11c. xy 2y 6x 12 11d. x 2. 2x. 3. 2 x y ... 13c. 4 yr. 13d. 24. ___. 20. 6 __. 5 1.2. 14a. 3 x 2. 16x 5. 1. 3x x 3x2. 15x. 5. 1x.
Step-by-step explanation:
I need the answer please help
Answer:
Check pdf
Step-by-step explanation:
find the measure of each angle with an expression.
there should be 2 answers.
PLS HELP
Can yall help me what my teacher talking bout please this is worth 73 point put the answer nd all
Answer this correctly I’ll give brainalist + 10 points
Answer:
x = 43
Step-by-step explanation:
Since these angles are inside a right angle, we know their sums are complementary (they add up to 90°.)
x + x + 4 = 90
2x + 4 = 90 | Combine x's
2x = 86 | Subtract 4 from both sides
x = 43 | Divide both sides by 2