Answer:
6 feetStep-by-step explanation:
Given right triangle with:
Legs s and 8, and hypotenuse s + 4Use Pythagorean and solve for s:
(s + 4)² = s² + 8²s² + 8s + 16 = s² + 648s = 64 - 168s = 48s = 6Know idea how to get an answer to this
Step-by-step explanation:
k=8.6
i think it is the right answer
Round 36.319 to the nearest tenth
Which equation has a graph that passes through the origin and has a slope of -10?
What is the average rate of change for this quadratic function for the interval from x = 0 to x = 3 ?
Answer:
-1/2
Step-by-step explanation:
When f(x) is divided by x + 4 the quotient is x2+5x−3+2x+4. What is f(−4)?
1 Find the value of C to that the function probability density function defined as follow, also calculate the man and variance /4
X -1 0 1
f(x) 3c 3c 6c
Answer:
[tex]c = \frac{1}{12}[/tex]
The mean of the distribution is 0.25.
The variance of the distribution is of 0.6875.
Step-by-step explanation:
Probability density function:
For it to be a probability function, the sum of the probabilities must be 1. The probabilities are 3c, 3c and 6c, so:
[tex]3c + 3c + 6c = 1[/tex]
[tex]12c = 1[/tex]
[tex]c = \frac{1}{12}[/tex]
So the probability distribution is:
[tex]P(X = -1) = 3c = 3\frac{1}{12} = \frac{1}{4} = 0.25[/tex]
[tex]P(X = 0) = 3c = 3\frac{1}{12} = \frac{1}{4} = 0.25[/tex]
[tex]P(X = 1) = 6c = 6\frac{1}{12} = \frac{1}{2} = 0.5[/tex]
Mean:
Sum of each outcome multiplied by its probability. So
[tex]E(X) = -1(0.25) + 0(0.25) + 1(0.5) = -0.25 + 0.5 = 0.25[/tex]
The mean of the distribution is 0.25.
Variance:
Sum of the difference squared between each value and the mean, multiplied by its probability. So
[tex]V^2(X) = 0.25(-1-0.25)^2 + 0.25(0 - 0.25)^2 + 0.5(1 - 0.25)^2 = 0.6875[/tex]
The variance of the distribution is of 0.6875.
PLEASE HELP!!!! WILL GIVE BRAINLIEST!!!!
Answer:
9
[tex]3^{\frac{4}{2} }[/tex] = [tex]3^{2} =9[/tex]
Step-by-step explanation:
I have no idea how to do this, so if someone could at least do one of these I’ll be grateful <3
Answer:
Answers are below!
Step-by-step explanation:
(2 + g) (8)
= (2 + g) (8)
Add a 8 after the 2, and flip.
= (2)(8) + (g)(8)
= 16 + 8g
= 8g + 16
= (4) (8 + -5g)
Add another 4, then flip.
= (4) (8) + (4) (-5g)
= 32 − 20g
= - 20g + 32
−7 (5-n)
= (−7) (5 + -n)
Add another 7, then flip.
= (−7) (5) + (-7) (-n)
= −35 + 7n
= 7n - 35
Use the distributive property.
a (b + c) = ab + ac
a = 8
b = 2m
c = 1
= 8 × 2m + 8 × 1
Simplify, you get 16m + 8.
Use the distributive property.
a (b + c) = ab + ac
a = 6x
b = y
c = z
= 6xy - 6xz is the answer.
[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \\\:a\left(b+c\right)=ab+ac[/tex]
[tex]a=-3,\:b=2b,\:c=2a[/tex]
[tex]=-3\cdot \:2b+\left(-3\right)\cdot \:2a[/tex]
Apply minus plus rules.
[tex]=-3\cdot \:2b+\left(-3\right)\cdot \:2a[/tex]
Multiply the numbers.
3 x 2 = 6
Answer:
9. -35+7n
10. 16m+8
11. 6xy-6xz
Step-by-step explanation:
You multiplying the terms inside the ( ) by the outside factor.
This is call distributive property, a(b+c)=ab+ac.
Also, a(b+c)=(b+c)a by commutative property.
It also works over the operation subtraction since subtraction is just a disguised addition (addition of the opposite). That is, a(b-c)=ab-ac.
Anyhow, let's look at 9.,10., and 11..
9.
-7(5-n)
(-7)(5-n)
(-7)(5)-(-7)(n)
-35+7n
10.
8(2m+1)
(8)(2m)+(8)(1)
16m+8
11.
6x(y-z)
(6x)(y-z)
(6x)(y)-(6x)(z)
6xy-6xz
Hint on 7. It's like all the other problems. That is, it is equivalent to doing 8(2+g).
If you want comment below, if you want me to check any of yours or if you have any questions.
What is the equation of the line that is perpendicular to
and has the same y-intercept as the given line?
(0,0)
(5,0)
O y = x+1
O y = x+5
o y = 5x + 1
O y = 5x + 5
-6 -5 -4 -3 -2 -1
23
4 5 6
Mark this and return
Save and Exit
Nyt
Submit
Answer:
y = 5x + 1
Step-by-step explanation:
Given the coordinate points (0,1) and (5,0)
First, get the slope
Slope m =(0-1)/5-0
m = -1/5
Since the required line is perpendicular, then the required slope is;
M = -1/(-1/5)
M = 5
Since 1the y intecept id (0,1) i.e. 1
Required equation is y = mx+b
y = 5x + 1
This gives the required equation
Note that the coordinate (0,1) was used instead os (0,0)
hiii help pls
thansjdjswjejejdjjdjeee
A river is 212 mile long. What is the length of the river on a map, if the scale is 1 inch : 50 miles?
Answer:
4.24 inches
Step-by-step explanation:
1 inch / 50 miles = x / 212 miles Cross multiply
1 inch * 212 miles = 50 miles * x Divide by 50 miles
1 inch * 212 miles / 50 miles = x
x = 4.24 inches.
How much is 0.24 of an inch?
0.24 * 50 = 12
So 0.24 inches represents 12 miles.
A cell site is a site where electronic communications equipment is placed in a cellular network for the use of mobile phones. The numbers y of cell sites from 1985 through 2014 can be modeled by
y = 340,110/
1 + 377e−0.259t
where t represents the year, with
t = 5 corresponding to 1985.
Use the model to find the numbers of cell sites in the years 1998, 2003, and 2006
Answer:
(a) 74553
(b) 172120
(c) 234802
Step-by-step explanation:
Given
[tex]y = \frac{340110}{1 + 377e^{-0.259t}}[/tex]
Solving (a): 1998
Year 1998 means that:
[tex]t =1998 - 1980[/tex]
[tex]t =18[/tex]
So, we have:
[tex]y = \frac{340110}{1 + 377e^{-0.259*18}}[/tex]
[tex]y = \frac{340110}{1 + 377e^{-4.662}}[/tex]
[tex]y = \frac{340110}{1 + 3.562}[/tex]
[tex]y = \frac{340110}{4.562}[/tex]
[tex]y = 74553[/tex] --- approximated
Solving (b): 2003
Year 2003 means that:
[tex]t = 2003 - 1980[/tex]
[tex]t =23[/tex]
So, we have:
[tex]y = \frac{340110}{1 + 377e^{-0.259*23}}[/tex]
[tex]y = \frac{340110}{1 + 377e^{-5.957}}[/tex]
[tex]y = \frac{340110}{1 + 0.976}[/tex]
[tex]y = \frac{340110}{1.976}[/tex]
[tex]y = 172120[/tex] --- approximated
Solving (c): 2006
Year 2006 means that:
[tex]t = 2006 - 1980[/tex]
[tex]t =26[/tex]
So, we have:
[tex]y = \frac{340110}{1 + 377e^{-0.259*26}}[/tex]
[tex]y = \frac{340110}{1 + 377e^{-6.734}}[/tex]
[tex]y = \frac{340110}{1 + 0.4485}[/tex]
[tex]y = \frac{340110}{1.4485}[/tex]
[tex]y = 234802[/tex] --- approximated
A cottage industry exists in the home-manufacture of 'country crafts'. Especially treasured are handmade quilts. If the fourth completed quilt took 40 hours to make, and the eighth quilt took 35 hours. What is the percentage learning
Answer:
6.7%
Step-by-step explanation:
PLEASE ANSWER MY QUESTION AND EXPLAIN RIGHT
Answer:
$ 1943
Step-by-step explanation:
You two congruent trapezoids.
Find the area of one and multiply by 2.
A = [tex]\frac{base_{1} + base_{2} }{2}[/tex] x h
= [tex]\frac{28+39}{2}[/tex] x 14.5
= [tex]\frac{67}{2}[/tex] x 14.5
= 33.5 x 14.5
= 485.75
= 485.75 x 2 (Two trapezoids)
= 971.50
= 971.50 x 2 (two dollars a square foot)
= 1943.00
A coffee distributor needs to mix a(n) Costa Rican coffee blend that normally sells for $9.10 per pound with a Arabian Mocha coffee blend that normally sells for $13.10 per pound to create 100 pounds of a coffee that can sell for $11.58 per pound. How many pounds of each kind of coffee should they mix?
9514 1404 393
Answer:
38 pounds Costa Rican62 pounds Arabian MochaStep-by-step explanation:
Let 'a' represent the number of pounds of Arabian Mocha in the mix. Then the number of pounds of Costa Rican blend is (100-a). The cost of the mix will be ...
9.10(100 -a) +13.10(a) = 11.58(100)
4a = 248 . . . . . . . . . . . . . collect terms, subtract 910
a = 62 . . . . . . . . . . . . divide by 4
62 pounds of Arabian Mocha and 38 pounds of Costa Rican blend should be mixed.
What piece of information is needed to prove
the triangles are congruent through ASA?
Answer:
B. <B is congruent to the <Z
OPTION B is the correct answer
Use the appropriate reciprocal identity to find the exact value of sin for the given value of csc . Rationalize denominators when applicable. csc 27/5 sin
Answer:
[tex]\sin(\theta) = \frac{5}{27}[/tex]
Step-by-step explanation:
Given
[tex]\csc(\theta) = \frac{27}{5}[/tex]
Required
Determine [tex]\sin(\theta)[/tex]
In trigonometry identity;
[tex]\sin(\theta) = \frac{1}{\csc(\theta)}[/tex]
So, we have:
[tex]\sin(\theta) = \frac{1}{\frac{27}{5}}[/tex]
Take inverse of the fraction
[tex]\sin(\theta) = \frac{5}{27}[/tex]
Find the area of the following figure with the indicated dimensions.use pi.
Answer:
The answer is "47.5354".
Step-by-step explanation:
In the given graph it is a half-circle and a triangle.
So, the diameter of the circle is 6.2 so the radius is 3.1
[tex]\text{Area of a circle}= \pi r^2\\\\\text{Area of a triangle}= \frac{1}{2} b h\\\\[/tex]
Calculating the total area of the shape:
[tex]= \pi r^2+\frac{1}{2} \times b\times h\\\\ = 3.14 \times 3.1^2+\frac{1}{2} \times 6.2 \times 5.6\\\\ = 3.14 \times 3.1^2+\frac{1}{2} \times 6.2 \times 5.6\\\\=3.14 \times 9.61+\frac{1}{2} \times 34.72\\\\=3.14 \times 9.61+\frac{1}{2} \times 34.72\\\\= 30.1754+17.36\\\\=47.5354\\\\[/tex]
HW HELP PLZZZZ ASAPPPP
Answer:
[tex]\frac{3v}{a^{2}} = h[/tex]
Step-by-step explanation:
[tex]v = \frac{1}{3} a^{2} h[/tex]
[tex]3v = a^{2} h[/tex]
[tex]\frac{3v}{a^{2}} = h[/tex]
Which answers describe the shape below? Check all that apply.
A. Trapezoid
B. Parallelogram
C. Rhombus
D. Rectangle
E. Quadrilateral
F. Square
Answer:
B, C, and E
Step-by-step explanation:
Please help! Rewrite the function
Answer:
The answer is below
Step-by-step explanation:
A function is used to show the relationship between two or more variables. This variables are known as the input variables and output variables.
The input variables are variables which do not depend on other variables while the output variables are variables that depends on other variables.
Given that g(x) = 12x / (x-5); rewriting in the form g(x) = [a/(x-h)] + k, gives:
[tex]g(x)=\frac{60}{x-5}+12[/tex]
The graph of g(x) was plotted using online geogebra graphing calculator. The graph is attached.
Find how long it takes a person to drive 90 miles on a highway if she merges onto a highway at 3p.m. and drives nonstop with her cruise control set on 40 mph.
How long does is take a person to drive 90 miles?
(type an integer or a decimal)
Answer:
2.25 or 2 hours 15 mins
Step-by-step explanation:
90/40 = 2.25
Prove that the square of an odd number is always 1 more than a multiple of 4
Answer:
By these examples you are able to see that the square of an odd number is always 1 more than a multiple of 4.
Step-by-step explanation:
For examples,
Let's consider squares of 3, 11, 25, 37 and 131.
[tex] {3}^{2} = 9[/tex]
8 is a multiple of 4, and 9 is more than 8.
[tex] {11}^{2} = 121[/tex]
120 is a multiple of 4 and 121 is one more than it.
[tex] {25}^{2} = 625[/tex]
624 is a multiple of 4 and 625 is one more than it.
[tex] {37}^{2} = 1369[/tex]
1368 is a multiple of 4 and 1369 is one more than 1368.
[tex] {131}^{2} = 17161[/tex]
17160 is a multiple of 4.
Help me plz I can’t figure it out
Answer:
m = 60
Step-by-step explanation:
The context is very important, the 'm' represents the minutes late the parents are and from this we can eliminate some options :
- The last one because then a parent would drop their child off earlier
- The first one and the third one because it is too long
Find the area of the figure below, formed from a triangle and a parallelogram.
144 square millimeters
120 square millimeters
72 square millimeters
96 square millimeters
total area =A1+A2+A3
A1=1/2b*h
A1=1/2*8mm*6mm
A1=24mmsquare
A2=1/2b*h
A2=1/2*8mm*6mm
A2=24mmsquare
A3=b*h
A3=8mm*6mm
A3=48mmsquare
Atotal=24mmsquare+24mmsquare+48mmsquare
Atotal=96mmsquare
write 16.76 correct to the nearest whole number
Answer:
17
Step-by-step explanation:
because they are both above 5 so add 1
If 3 3/4m of cloth was used for one suit, how many suits can be made with 30m cloth
Answer:
8 suits
Step-by-step explanation:
Divide 30 m by 3 [tex]\frac{3}{4}[/tex] m , or 30 ÷ 3.75 , then
30 ÷ 3.75 = 8
Then 8 suits can be made from 30 m of cloth
Need an answer quick!!
Lines A and B are parallel
A
1
2
3125°
B
5 6
78
m26 = [? ]°
Answer:
<6 = 55°Step-by-step explanation:
Here,
<6 + 125° = 180° [Co-interior angles]
=> <6 = 180 - 125
=> <6 = 55° (Ans)
True or False: The points T, Z, W and U coplanar in the following image
Answer:
False
Step-by-step explanation:
Points T & W are coplanar. Point Z is on both planes, so it depends on how you see it. HOWEVER, Point U is on another plane (plane Q to be exact), so points T, Z, W, and U are NOT coplanar.
Hope it helps (●'◡'●)
4x + x - 3-9 + 4x = 6 ??
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
-------------------------
Given:
[tex]4x+x-3-9+4x=6[/tex]
---------->>>>
Combine like terms.
[tex]9x-12=6[/tex]
---------->>>>
Add 12 to both sides.
[tex]9x=18[/tex]
---------->>>>
Divide both sides by 9.
[tex]x=2[/tex]
-------------------------
Hope this is helpful.
