BD = 2x-4
But it's also BE - CE + CD
BE is 3x-1
CE is 2x-3
CD is 2
so
BD = 3x-1 -(2x-3) +2
simplified
BD = 1x +4
since BD = BD (obviously), we can also say that the righthand sides of the two equation must be equal
2x -4 = 1x +4
let's solve for x and that put it into either of the 2 equations.
2x -4 = 1x +4
subtract 1x on both sides
x -4 = 4
add 4 on both sides
x = 8
substitute x for its value in 2x -4 = 1x +4
(this way we double check BD in two expressions at once. the equation should come out true, meaning same value for BD in each expression. both sides should be equal).
2*8 -4 = 1*8 +4
12 = 12
seems true
BD is safely 12
The mean number of pairs of shoes sold daily by a shoe store is 36 with a standard deviation of 3. On what percent of days would you expect the store to sell from 33 to 42 pairs of shoes?
Answer:
81.9%
Step-by-step explanation:
z-score is is z = (x-μ)/σ,
where x is the raw score
μ is the population mean = 36
σ is the population standard deviation = 3
For x = 33
z = 33 - 36/3
= -1
Probability value from Z-Table:
P(x = 33) = 0.15866
For x = 42
z = 42 - 36/3
= 2
Probability value from Z-Table:
P(x = 42) = 0.97725
The probability of days would you expect the store to sell from 33 to 42 pairs of shoes is
P(x = 42) - P(x = 33)
= 0.97725 - 0.15866
= 0.81859
Therefore, the percent of days would you expect the store to sell from 33 to 42 pairs of shoes is calculated as
0.81859 × 100
= 81.859%
Approximately = 81.9%
What is the length of DF?
Answer:
Step-by-step explanation:
Because this is an isosceles trapezoid, the diagonals are congruent. That means that DF is the same length as EG which is 11.
The equation of a line is 5x + 10y = 15
Answer:
c
Step-by-step explanation:
I don't think I understand this one try graphs n diagram
What the measurements for b ? * just different problems*
A 2 kg hammer is used to nail a 0.002 kg nail with a force of 10 N. How much force is applied to the hammer?
Answer:
19.62N
Step-by-step explanation:
Given data
Mass =2kg
Force =10N
The applied force is
F=mg
F=2*9.81
F=19.62N
Hence the applied force is 19.62N
Pls help if you only know the correct answer! Thanks! :)
Answer:
A. -3/5 B. 1/5. C. 0.8.
Step-by-step explanation:
Since A is on the left side of 0, it will be negative, in which -3/5 is the only negative answer on there, so A= -3/5. Since B is on the right side of the 0 it's positive, and it is equal to 1/5 which gets you to 0.20, which will be the value of each line since 1 divided by 5 is equal to 0.20. 0.8 is also known as 0.80 so C will be next to the 1.
Determine the surface area of the shape below.
Try this option:
1. the required surface area consists of: A=A₁+A₂+A₃, where
2. A₁=pi*r*l - the surface of the cone:
pi=3.14; r=4/2=2 cm; l=sqrt(6²+2²)=2√10≈6.33 (cm);
A₁=3.14*2*6.33=39.74 (cm²).
3. A₂=a²-pi*r² - the surface of the top plane:
A₂=36-3.14*4=23.43 (cm²).
4. A₃=5*a² - the surface of the five planes of the given cube:
A₃=5*6²=180 (cm²).
5. the required area:
A=39.74+23.43+180=243.17 (cm²).
Answer: 243.17
!NOW! Bennett budgeted $6,000 to spend on food for the year. If he spent $400 each month,
which expression represents how much money Bennett had left after x months.
Answer:
Y=6000-400x
Step-by-step explanation:
Y=6000-400x where 6000 is beginning total, x represents how many months have passed, and 400x reduces the total by 400 for x number of months.
find the first derivative of the following:
f(x)=e^{x³}
[tex]answer = 3 {x}^{2} {e}^{ {x}^{3} } [/tex]
Answer:
[tex] \displaystyle f'(x) = 3x^2 {e}^{ {x}^{3} } [/tex]
Step-by-step explanation:
we would like to figure out the first derivative of the following:
[tex] \displaystyle f(x) = {e}^{x ^{3} } [/tex]
to do so take derivative In both sides:
[tex] \displaystyle f'(x) = \frac{d}{dx} {e}^{x ^{3} } [/tex]
to differentiate the above we can consider composite function derivation given by
[tex] \rm\displaystyle \frac{d}{dx} f(g(x)) = \frac{d}{dx} f'(g(x)) \times \frac{d}{dx} g'(x)[/tex]
let
g(x)=u
so we obtain:
[tex] \displaystyle f'(x) = \frac{d}{dx} {e}^{u} \times \frac{d}{dx} u[/tex]
substitute back:
[tex] \displaystyle f'(x) = \frac{d}{dx} {e}^{ {x}^{3} } \times \frac{d}{dx} {x}^{3} [/tex]
by using derivation rule we acquire:
[tex] \displaystyle f'(x) = 3x^2 {e}^{ {x}^{3} } [/tex]
and we are done!
Find the volume of the sphere.
Either enter an exact answer in terms of π or use 22/7 for π.
Answer:
0.167π
Step-by-step explanation:
r = 0.5
[tex]Volume = \frac{4}{3} \pi r^{3} = \frac{4}{3} \pi 0.5^{3} = 0.167\pi[/tex]
please help me solve
please show how you got the answer
Answer:
Step-by-step explanation:
New questions in Mathematics
In a 30-30-90 triangle, the hypotenuse is 38, what is the length of the shortest side
Pls help this is due at 8 !!!!!!
6. CDs can be manufactured for $0.19 each. The development cost is $210,000. The first 500 discs are samples and will not be sold a. Write function f…
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Which rational functions have an oblique asymptote? Check all that apply
what is the estimate product of 345 and 34? [tex] \\ [/tex]
what is the estimate product of 345 and 34?
ucas y Fernando deciden remontar, cada uno, un barrilete y cuentan con 60m de hilo cada uno. El barrilete de Lucas forma un ángulo de 45º con la hori…
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How many parallelograms are in an octagonal prism?
Tn=2n-5 write down four term in a sequence
somebody help me out !
Find the value of angle n
PLEASE I NEED HELP IM GOING TO CRY I HAVE A TOPIC TEST TOMORROW PLEASE REPLY ASAP.!!!!
Find the value of angle y
What is the midpoint of AB? A G H NT -9-8-7 -6 -5 -4 -3 -2 -1 0 1 2 3 0000 4 5 6 7 8 9 point F O point G O point H pointi
Point A is reflected across line y=x and the n dilated by a factor of 3 using the origin as the center of dilation.
Given that a=3, b=-2 and c= -4, evaluate the following expression. 2c-a/3c+b - 5a+4c/c-a
Please help me asap!
what is lcm of 15 and 143
151°
116°
135°
139°
101°
136° 164°
What is the value of x? PLEASE HELP
Reduce £20 by 15%
:
:
:
:
:
:
Answer:
the new value is 17 and the absolute change is -3
Step-by-step explanation:
take 20 and subtract your percentage increase
20 - (15% × 20) =
20 - 15% × 20 =
(1 - 15%) × 20 =
(100% - 15%) × 20 =
85% × 20 =
85 ÷ 100 × 20 =
85 × 20 ÷ 100 =
1,700 ÷ 100 =
Does the equation 2(x + 3) + x = 3(x + 2) have one, infinite, or no solutions? Explain how you got your answer.
In circle F with mEHG = 42, find the mEFG.
Answer:
∠EFG=2×∠EHG
∠EFG=2×42
∠EFG=84°
so,m∠EFG=84°
------------------------
hope it helps...
have a nice day!!
can someone help please
Answer:
isn't it b i remember doing something almost the same as this
Answer:
24
Step-by-step explanation:
f(4) means you plug the 4 into the equation so 4 x 4= 16
then 3(4)= 12
16+12-4=24
There are 2144 chickens and ducks in a farm. The total number or chickens and cows are 1456. The are 5 times as many ducks as cows. The farmer sells each chicken for 12 dollars. How much will he earn by selling all his chickens?
Answer should be 21
=
189
9
=
21
evaluate 999^3 by using suitable identity
The answer is:
999^3 = 997002999
what’s the area of 4cm
2cm
4cm
Rcm
11 cm
2 cm
Answer:
If the area of a square = 4cm^2
then the side length of = √4 = 2 cm
A Triangle on a coordinate plane is translated according to the rule T-8, 4(x, y). Which is another way to w
rule?
• (X,Y) (x+4,y-8)
• (X,Y) → (X-4, y-8)
• (X,Y)(-8, y+4)
• (x,y) → (x+8, y-4)
Answer:
C (x, y) - (x - 8, y + 4)
Step-by-step explanation:
What is the product?
Answer:
Step-by-step explanation:
You can do this in two steps.
4s * (5s^2 + 10s + 3) Remove the brackets
20s^3 + 40s^2 + 12 s
2(5s^2 + 10s + 3)
10s^2 + 20s + 6
Now add them
20s^3 + 40s^2 + 12s + 10s^2 + 20s + 6
Rearrange them so the like terms are together.
20s^3 + 40s^2 + 10s^2 +12s + 20s + 6
20s^3 + 50s^2 + 32s + 6
Describe fully the transformation that maps shape a and b
Answer:
Rotate 90' clockwise Centre (-2, -2)
if you mean A onto B
Find the slope of the line that contains the points named. G(3, -2), H(7, -2)
A. 0
B. -1
C. Undefined
A. 0
Answer:
Solution given
(x1,y1)=G(3, -2),
(x2,y2)=H(7, -2)
now
slope=(y2-y1)/(x2-x1)=(-2+2)/(7-3)=0/4=0
Answer:
0
Step-by-step explanation:
To find the slope
m= ( y2-y1)/(x2-x1)
= ( -2 - -2)/ ( 7-3)
= (-2+2)/(7-3)
= 0/4
Please Help ASAP!! Due today!!
Answer:
-4 equals p=2 and a and R are at point Y downwards.
Leticia places a 10 foot ladder against a wall at a 70° with the
ground. Determine how far the base of the ladder is from the
wall.
O 3.42 feet
0 27.47 feet
O 9.4 feet
29.24 feet
none of these
Answer:
To solve this problem you must apply the procedure shown below:
1. You have that ladder measures 10 foot and forms and angle of 70 degrees with the ground.
2. Therefore, you have:
Sinα=opposite/hypotenuse
α=70°
opposite=x
hypotenuse=10
3. When you substitute the values, you obtain:
Sin(70°)=x/10
4. Now, solve for x, as following:
x=(10)(Sin(70°)
x=9.39 feet
Therefore, the answer is: 9.39 feet.
Step-by-step explanation:
What is the y-coordinate of the ordered pair that satisfies the system of linear equations?
6x+4y= -14
-x - 5y=11
A. 2
B. 1
C. -1
D. -2
Answer:
D
Step-by-step explanation:
What is the domain of the function y=3sqrtx-1?
-infinity
-1
0 less than or equal to x
1 less than of equal to x
Answer:
Step-by-step explanation:
Pat bought 6 shirts that were all the same price. He used a traveler's
check for $25, and then paid the difference of $86. What was the
price of each shirt?
Answer:
Each shirt costs $18.50
Step-by-step explanation:
Questions such as these usually involve quite simple calculations, but they are important in being able to convert a scenario described in words into math calculations.
First, read the information carefully and then summarize what you are given in short sentences. Pat bought 6 shirts. He paid using a check and cash.
The total amount paid was $ 25 + $ 86 = $ 111
The shirts all cost the same price.
The cost of each shirt was: 111 ÷ 6 = $ 18.50
Answer:
Each shirt was 18.50
Step-by-step explanation:
The total cost of the 6 shirts was 25+86 = 111
Divide the total by 6 to find the cost of each shirt
111/6 =18.5
Each shirt was 18.50
Simplify -5^2 + 8|-1| + (-3).
30
-36
-20
14
Answer:
-20
lmk if u need a step-by-step explaination id be glad to help you <3
Answer:
-20
Step-by-step explanation:
-5 ^ 2 is -25
|-1| is the same as 1
so this will be
-25 + 8 - 3
- 20
Round to the nearest tenths place30.06858282
Answer:
30.1
Step-by-step explanation:
Have a great summer :)