Answer:
b= (3z-6)/(1+3z)
Step-by-step explanation:
z=(-b+6)/(3b-3)
cross multiple
z(3b-3)=-b+6
open the bracket
3bz-3z=-b+6
make -b the subject of the formula
-b = 3bz-3z-6
-b - 3bz = -3z - 6
factorize the left hand side...
-b(1+3z) = -3z-6
make -b the subject of the formula again
-b = -(3z-6)/(1+3z)
cancel the minus at both sides...
b = (3z-6)/(1+3z)
Answer:
b = [tex]\frac{3z + 6}{3z+1}[/tex]
Step-by-step explanation:
Simply solve for "b" , so the formula will be
b = .....
z = [tex]\frac{-b+6}{3b-3}[/tex] ( b > 0 )
z(3b - 3) = - b + 6
3zb - 3z = - b + 6
3zb + b = 3z + 6
b( 3z + 1 ) = 3z + 6
b = [tex]\frac{3z + 6}{3z+1}[/tex]
Help I don’t understand
Answer:
TV = 18
Step-by-step explanation:
First, we can visualize rotating the triangle ΔTUV 180 degrees to line it up with ΔTRS, as shown in the picture. This makes it easier to visualize which sides correspond to each other. Because UT is parallel to RT, and UV is still parallel to RS (rotating the triangle 180 or 360 degrees does not change this), we know UT is similar to RT and so on.
As the ratio of similar sides are equal in similar shapes, we can say that
RT/UT = TS/TV = RS/UV
One thing to note is that all sides of TRS are on top, while all sides of TUV are on the bottom. Make sure that for all your sides, that the same triangle's sides stay on either the top or bottom.
Given this, and that we want to find TV, we can say that
TS / TV = RS / UV (I didn't use RT/UT because we don't know UT)
27 / TV = 24 / 16
Multiply both sides by 16 to eliminate a denominator
27 * 16 / TV = 24
Multiply both sides by TV to eliminate all denominators
27 * 16 = 24 * TV
Divide both sides by 24 to isolate TV
27 * 16 / 24 = TV
TV = 18
what is the quotient
4/5 ÷ 1/10
Answer:
4/5 ÷ 1/10 = 40/5 as simplified as 8/1 in fraction form.
4/5 ÷ 1/10 = 8 in decimal form.
This calculator, formula, step by step calculation and associated information for fraction 4/5 divided by 1/10 may help students, teachers, parents or professionals to learn, teach, practice or verify such division between two fractions calculations efficiently.
Step-by-step explanation:
hope it helps...
Answer:
8/1
Step-by-step explanation:
4/5 change × 10/1= 8/1 hope helpful answer to your question have a good time to you
Find the area and perimeter of the figure on the coordinate system below.
If anyone could help please do.
Answer:
P= 2L+2W+2H
P=2(3)+2(3)+2(3)
=18ft
Which equation shows the distributive property? (a) 6 x 3 + 6 x 8 = 6 x (3 + 8) (b) 5 + (22 + 19) = (5 + 22) + 19 (c) 20 x 10 = 10 x 20 (d) 45 + 7 = 7 + 45
help me please
Help me solve this problem please
Answer:
actually what is this is you is this a geometry, trigonometry I don't know what to call
Which best describes the relationship between the line that passes through the points (1, -6) and (3,-2) and the line
that passes through the points (4, 8) and (6, 12)?
A. parallel
B. neither perpendicular nor parallel
C. same line
D. perpendicular
B neither perpendicular nor parallel
Answer:
B
Step-by-step explanation:
B. neither perpendicular nor parallel
because, the line are not crossing nor are they aside from each other.
Show √7 , √5 on a number line.
please hurry up my cissy and oppa
Answer:
Draw the number line like in the picture.
Step-by-step explanation:
√5 is about 2.236, meaning it's kind of close to 2.25.
√7 is about 2.646, meaning it's very close to 2.625.
Add [25+(-13)+(-17) using associative property
Answer:
[25+(-13)+(-17)
25-13-17
-5
Name the identical triangles and measurement of side BA
Step-by-step explanation:
BE/BC=BD/BA
tHE TWO SIMILAR TRIANGLES ARE BED AND BC. tHE PROPORTION ABOVE REPRESENTS USE OF THE TWO SIMILAR TRIANGLES.
4/(4 + 10) = 5/(5+X) Cross Multiply
4(5+x) = 5(4+10)m
20 +4x=20 +50 subtract 20 from both sides
4x = 50 divide by 4
x =12.5
12 points!! Please help out if you can! Means so much!!
Answer:
(2w+2)(w+8) ≤ 100
Step-by-step explanation:
What percent of all students are middle schools
How many wax warmers will she make when she makes 77 candles
A.75
B.55
C.40
D.69
someone please help me ASAP
Answer:
(x + (2), y - (4))
Step-by-step explanation:
An easy way to figure out how a shape has undergone a ridge transformation (meaning a transformation only in location and not size) is to compare corresponding points on the figure.
In this figure, use point (C) to describe the transformation. Point (C) is located at (-2, 4). However, its corresponding point (C') is located at (0,0). To go from (-2, 4) to (0,0) one has to add (2) units to the (x-coordinate) and subtract (4) units from the (y-coordinate). Therefore, the transformation can be described as the following,
(x + (2), y - (4))
The length of the base of an isosceles triangle is x. The length of a leg is 3x-4. The perimeter of the triangle is 97. Find x.
Answer I do not know i am not there yet i am sorry
Step-by-step explanation:
:(
A circle has a radius of 2 feet. What is the length of the arc subtended by a 15 degree central angle?
Answer:
Step-by-step explanation:
length = Pi.radius.15degree/180degree
= Pi.2.15/180 = about 0,5 feet
The length of the arc that is subtended by 15° is: 0.5 ft.
What is the Arc Length in a Circle?Formula for the arc length in a circle with a radius of r and a central angle of ∅ is, ∅/360 × 2πr.
Given the following:
r = 2 ft∅ = 15°Arc length = 15/360 × 2π(2)
Arc length = 0.5 ft.
Thus, the length of the arc that is subtended by 15° is: 0.5 ft.
Learn more about the arc length on:
https://brainly.com/question/17329757
Factor the answer
8y-16
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]8(y-2)[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Simplifying the Expression:}}\\\\8y-16\\------------------\\\rightarrow 8y-16\\\\\text{8 is a common factor in the terms. Pull out 8 to factor...}}\\\\\rightarrow \boxed{8(y-2)}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Answer:
We can not find the answer with with equation since there is no comparison sign. To demonstrate this lets look at a way we could solve this equation.
8y-16=32
8y=48
y=6
a)Convert 7.5 cm into m b) convert 2 m into mm c) Convert 5 m into cm d) convert mg into 9 e)Convert 1.5 mg into kg f)convert 1 day into sec g)Convert 5 hour into sec
Answer:
0.075 metre
2000 mm
500 cm
0.001 gram
1.5 × 10-6 kilogram
86400 second
18000 second
Step-by-step explanation:
hope it helps
Answer:
a) 0.075 m
b) 2000 mm
c) 500 cm
d) ?
e) 0.0015 kg
f) 86400 seconds
g) 18000 seconds
Sanjana wants to buy a computer that she can use for school next year which is 9 months away. She discovers that she can buy a computer for $400 at a discount electronics store in town. How much does Sanjana have to save every MONTH to buy the computer? ANSWER: $400 / 9 months = $44.44/mo How much does Sanjana have to save every WEEK to buy the computer? ANSWER: $44.44 / 4 weeks = $11.11/wk How much does Sanjana have to save every DAY to buy the computer? ANSWER: $11.11 / 7 days = $1.59/day
Answer: ANSWER: $400 / 9 months = $44.44/mo How much does Sanjana have to save every WEEK to buy the computer? ANSWER: $44.44 / 4 weeks = $11.11/wk How much does Sanjana have to save every DAY to buy the computer? ANSWER: $11.11 / 7 days = $1.59/day
Step-by-step explanation:
Evaluate each of the following expression giving the answer in scientific notation
Answer:
Step-by-step explanation:
[tex]A) 5.3*10^{4}+4.7*10^{4}= (5.3 + 4.7)*10^{4}=10*10^{4}=10^{5}\\\\\\B) 3.7*10^{6} - 3.3*10^{6}=(3.7-3.3)*10^{6}=0.4*10^{6}=4.0*10^{-1}*10^{6}=4.0*10^{6-1}=4.0*10^{5}\\\\\\C) 4.8*10^{-3}+6.3^{-2}=4.8*10^{-2}*10^{-1}+6.3*10^{-2}\\\\=(4.8*10^{-1} +6.3)*10^{-2}\\\\=(0.48+6.3)*10^{-2}\\\\=6.78*10^{-2}\\\\\\D)6.6*10^{-5}-6.1*10^{-4}=6.6*10^{-1}*10^{-4}-6.1*10^{-4}\\\\=(6.6*10^{-1}-6.1)*10^{-4}\\\\=(0.66-6.1)*10^{-4}\\\\= (-5.44)*10^{-4}[/tex]
Find the slope between (2, 10) and (9, 1). Substitute in the following numbers that are missing
Answer:
Rise (1-10)=-9
Run=(9-2)=7
Step-by-step explanation:
The slope is Rise/Run = -9/7
classify the expression by both degree and terms 2x4 - x +5
Answer:
x=3
Step-by-step explanation:
if α and β are the zeroes of the polynomial 3x^2 - 8x − 3 then find the value of i) α^2 + β^2 ii) α^-1 + β^-1
Step-by-step explanation:
the answer is in the above image
Please please help help please
Answer:
maybe the answer is equal. not sure.
Answer:
The answer is smaller
Step-by-step explanation:
because when we multiply two small ones we get a big one
Please help…………………………
Answer:
Step-by-step explanation:
angle 2 is also 60 degree (being vertically opposite angles)
angle 3 is also 60 degree (being corresponding angles)
angle 4 is also 60 degree (being corresponding angles ) . sice angle 2 is 60 degree and relation between angle 2 and 4 is corresponding angle , angle 4 will also be 60 degree.
If the cos of an angle is .75, what is the csc?
A. 1/√(5)
B. 9/√(6)
C. 6/√(2)
D. 3/√(9)
E. 4/√(7)
F. 2/√(3)
Answer: Choice E. 4/sqrt(7)
This is the same as writing [tex]\frac{4}{\sqrt{7}}[/tex]
=================================================
Explanation:
0.75 = 3/4
Recall that cosine is the ratio of adjacent over hypotenuse.
That means if cos(theta) = 3/4, then the adjacent is 3 units and the hypotenuse is 4 units.
Through the pythagorean theorem, we would then find that
a^2+b^2 = c^2
a = sqrt(c^2 - b^2)
a = sqrt(4^2 - 3^2)
a = sqrt(7)
This is the opposite side of reference angle theta.
From here, we can say
csc(angle) = hypotenuse/opposite
csc(theta) = 4/sqrt(7)
which points to choice E as the final answer.
helpppppppppoppppppppp
A)
Replace the letters in the given equation with the corresponding values given in the problem:
A = 10,000 x 2.718^(0.05 x 2)
A = 11,051.59 , rounded to nearest dollar = $11,052
B)20,000 = 10000 x 2.718^(0.05 x t)
Divide both sides by 10,000:
2 = 2.718^(0.05 x t)
Apply exponent rules:
0.05tln(2.718) = 2
Solve for t:
t = ln(2) / 0.05ln(2.718)
t = 13.86 years, rounded to nearest year = 14 years.
Answer:
Step-by-step explanation:
Using [tex]A=Pe^{rt[/tex] as instructed, our equation looks like this:
[tex]A=10,000e^{(.05)(2)}[/tex] which simplifies a bit to
[tex]A=10,000e^{.1[/tex] which simplifies a bit more to
A = 10,000(1.10517) so
A = 11,051.71 Easy. Now onto the second part: solving for the number of years it takes for the investment to double. Setting A equal to 20,000 since 20,000 is 10,000 doubled:
[tex]20,000=10,000e^{.05t[/tex] Begin by dividing both sides by 10,000 to get
[tex]2=e^{.05t[/tex] and take the natural log of both sides to get that exponent down out front, keeping in mind that the natural log will "undo" the e, leaving us with:
ln(2) = .05t and
t = 14 years (that's 13.8 rounded up to the nearest year)
PLEASE HELP!! I’ve added an attachment. Please help me find the type of statement for this mathematical question. TYSM!!
Answer:
Step-by-step explanation:
Statements Reasons
1). AD ≅ BC 1). Given
2). ∠D ≅ ∠C 2). Given
3). ∠DEA ≅ ∠CEB 3). Vertically opposite angles
4). ΔADE ≅ Δ BCE 4). AAS postulate of congruence
5). AE ≅ BE 5). CPCTC
Hence, proved.
Using the equality of surds theorem, solve this question
In the question solve for a and b
Step-by-step explanation:
76.72135955 is the answer I think So if the answer is correct then plz mark me as brainliest
4. The expression (3x –8)(2x+5)-(x+1)(2x+5) can be written as the product of 2x+5
with what other binomial?
(1) 4x-7
(3) 2x-7
(2) 2x-9
(4) 4x-9
Answer:
option 3 : (2x - 7 )
Step-by-step explanation:
ax + bx = x(a+ b)
a(x+ y) + b(x+y) = (x+y)(a+b)
[tex](3x - 8 ) ( 2x + 5) - (x + 1)(2x + 5)\\\\(2x+5)[ (3x - 8) - (x+1) ][/tex] [ (2x + 5) is common is both terms ]
[tex](2x+ 5)(3x -8 -x + 1)\\\\(2x+ 5)(2x - 7)[/tex]
Therefore , the binomial is ( 2x - 7)
Priyanti ate 150 raisins in five days. If she ate 7 more raisins each day than she did the previous day, how many raisins did she eat on
a. the third day?
b. the first day?
Answer:
this means she ate an average of 30 raisins each day
so she ate 30 on the third day
so the amount she ate each day is like this
1. 16
2. 23
3. 30
4. 37
5. 44
16 + 23 +30 +37 +44=150
Answer:
a. 30 b. 16
Step-by-step explanation:
n=number of days
a1= raisins she at on 1st day
d=increase per day
n(a1+an)/2
5(a1+a1+d(n-1))/2=150
5(2a1+4d)=300
d=7, 10a1+20(7)=300
a1+14=30
a1=16
a. a1+2d 16+14=30 b. 16