Answer:
11,000 gallons
Step-by-step explanation:
Jeffs water bill = 28.50
Charge for water used = 28.50 - 12 = 16.50
Therefore number of gallons used = 16.50/1.50 x 1000 = 11,000 gallons
Which number is equal to 10 Superscript 4?
40
1,000
10,000
40,000
Answer: The answer is 10,000
Step-by-step explanation:
10^4 is equal to 10,000
10^4 to the second power means that you have too add 4 zeros to the end of the number.
Since 10 already has a 0, you would add 3 more.
Therefore, the answer would be 10,000.
(Your Welcome)
Answer:
10^4 is equal to 10,000
10^4 to the second power means that you have too add 4 zeros to the end of the number.
Since 10 already has a 0, you would add 3 more.
Therefore, the answer would be 10,000.
Which theorem or postulate could be used to prove the congruence of the triangles?
Answer:
Yes! There's the Side-Angle -Side postulate, or SAS. This states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.
Step-by-step explanation:
The postulate used to prove the congruence of the triangles is ASA.
Option B is the correct answer.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
Two right triangles.
∠90° = ∠90°
side = side (given)
Angle = Angle (given)
By ASA (angle side angle)
The triangles are congruent.
Thus,
The postulate is ASA.
Learn more about triangles here:
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Solve.
-6x^2 - 2 - 3x=-8
a)x=5+√57÷16
b)x=-4+√34÷3
c)x=-7+3√41÷16
d)x=1+√17÷-4
Answer:
So the d) is right.
Step-by-step explanation:
we have:
-6x^2 - 2 - 3x=-8
6x^2 + 3x - 6 =0
The delta = 3^2 -4*6*(-6) = 9 + 144 = 153= 9*17
These 2 solutions are:
[tex]x_{1} =\frac{-3+3\sqrt{17} }{2*6} = \frac{-3+3\sqrt{17} }{12} =\frac{-1+\sqrt{17} }{4} \\x_{2} =\frac{-3-3\sqrt{17} }{2*6} = \frac{-3-3\sqrt{17} }{12} =\frac{-1-\sqrt{17} }{4}[/tex]
So the d) is right.
top side is 6 just couldn’t fit in picture
Answer: [tex]6<z<18[/tex]
Step-by-step explanation:
Use the pythagorean theorem to find z first.
[tex]c^2=a^2+b^2\\c=\sqrt{a^2+b^2}[/tex]
a = 12
b = 6
c = z
[tex]c=\sqrt{(12)^2+(6)^2}\\ c=\sqrt{144+36}\\ c=\sqrt{180} \\c=13.4[/tex]
z is greater than a and b
Help me I will give you brainliest!!!!
Answer:
2/36
Step-by-step explanation:
There are 36 possibilities when rolling a die
There are 2 that sum to 11
P (sum of 11) = sum of 11/ total
=2/36
1/18
Determine the value of
X in the diagram below. Justify your reasoning.
Answer:
x = 70°
Step-by-step explanation:
Sum of external angles of polygon = 360
x + 150 + 140 = 360
x + 290 = 360
x = 360 - 290
x = 70°
Which of the following shows the correct simplification assuming the denominator is not equal to zero?
Answer:
[tex]=\frac{3x+2}{x\left(x+1\right)}[/tex]
or
[tex]\frac{(3x+2)}{x^2+x}[/tex]
Step-by-step explanation:
[tex]\frac{2}{x}+\frac{1}{x+1}\\\mathrm{Least\:Common\:Multiplier\:of\:}x,\:x+1:\quad x\left(x+1\right)\\Adjust\:Fractions\:based\:on\:the\:LCM\\Multiply\:each\:numerator\:by\:the\:same\:amount\:needed\:to\:multiply\:its\\\mathrm{corresponding\:denominator\:to\:turn\:it\:into\:the\:LCM}\:x\left(x+1\right)\\\mathrm{For}\:\frac{2}{x}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:x+1\\\frac{2}{x}=\frac{2\left(x+1\right)}{x\left(x+1\right)}\\[/tex]
[tex]\mathrm{For}\:\frac{1}{x+1}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:x\\\frac{1}{x+1}=\frac{1\cdot \:x}{\left(x+1\right)x}=\frac{x}{x\left(x+1\right)}\\=\frac{2\left(x+1\right)}{x\left(x+1\right)}+\frac{x}{x\left(x+1\right)}\\\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\=\frac{2\left(x+1\right)+x}{x\left(x+1\right)}\\[/tex]
[tex]\mathrm{Expand}\:2\left(x+1\right)+x:\quad 3x+2\\2\left(x+1\right)+x\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=2,\:b=x,\:c=1\\=2x+2\cdot \:1\\\mathrm{Multiply\:the\:numbers:}\:2\cdot \:1=2\\=2x+2\\\mathrm{Simplify}\:2x+2+x:\quad 3x+2\\2x+2+x\\\mathrm{Group\:like\:terms}\\=2x+x+2\\\\mathrm{Add\:similar\:elements:}\:2x+x=3x\\=3x+2\\=\frac{3x+2}{x\left(x+1\right)}[/tex]
Mrs. Smith has $20,000 to invest. She wants to earn $10,000 in interest. She is considering a savingsand loans bank that is offering her 5.6% interest per year. For how long will she have to leave her money in the bank in order to reach her goal of $10,000?
Answer:
Number of year to get $10,000 as interest = 7.5 year (Approx)
Step-by-step explanation:
Given:
Initial investment = $20,000
Interest on investment = $10,000
Rate of interest = 5.6% = 0.056
Find:
Number of year to get $10,000 as interest:
Computation:
[tex]Interest\ on\ investment = Initial\ investment[(1+r)^n-1]\\\\10,000 = 20,000[(1+0.056)-1]\\\\0.5=(1.056)^n-1\\\\1.5 =(1.056)^n\\\\n=7.44[/tex]
Number of year to get $10,000 as interest = 7.44
Number of year to get $10,000 as interest = 7.5 year (Approx)
HELP ME QUICK PLZ WITH THIS MATH PROBLEM!!!!!!!!!!!!!!
Answer:
I believe it’s 1/2
Step-by-step explanation:
Take a point on the graph and use rise over run method
Answer:
D. 5/8 poundsStep-by-step explanation:
You can find the slope by picking a point such as (8,5).
Slope = rise over run.
(8,5) is 8 units right and 5 units up, thus the slope is 5/8
Hope this helps.
Write the expression as a single natural logarithm. 3 ln 6 + 4 ln x
Answer:
ln(216[tex]x^{4}[/tex] )
Step-by-step explanation:
Using the rules of logarithms
log x + log y = log(xy)
log [tex]x^{n}[/tex] ⇔ n log x
Given
3ln6 + 4lnx
= ln 6³ + ln[tex]x^{4}[/tex]
= ln (216[tex]x^{4}[/tex] )
W varies inversely as the square of t. If W = 12 when t = 2,
find t when W = 27.
A. 27t = 24
B. 27t2 = 48
C. 108 = 12t
D. 12t = 54
Answer:
B
Step-by-step explanation:
Given W varies inversely as t² then the equation relating them is
W = [tex]\frac{k}{t^2}[/tex] ← k is the constant of variation
To find k use the condition W = 12 when t = 2, thus
12 = [tex]\frac{k}{2^2}[/tex] = [tex]\frac{k}{4}[/tex] ( multiply both sides by 4 )
k = 48
W = [tex]\frac{48}{t^2}[/tex] ← equation of variation
When W = 27, then
27 = [tex]\frac{48}{t^2}[/tex] ( multiply both sides by t² )
27t² = 48 → B
B) 27 t² = 48 will be the algebraic equation for t if W = 27.
What is proportionality?In arithmetic, proportional or proportional meaning denotes equivalence between two ratios. In the equation a/b = c/d, a and b have the same percentage as c and d. A percentage is primarily established for solving a word problem using one of its four unknown quantities.
Given W varies inversely proportional to t² then the algebraic equation relating them is
W = k / t² is the constant of variation
for k we can use the condition W = 12 when t = 2,Hence,
12 = k / 2²
k = 48
When W = 27, then
27 = 48 / t² ( multiply by t² )
Therefore, t in the form of algebraic equation is 27 t² = 48 Hence, option B is correct.
Learn more about proportionality here:
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three-fourths the square of a number
Answer:
i think it is D i am sorry if it is wrong
Step-by-step explanation:
Can some one help me???
Answer:
You will break even with the cost of your supplies equals your income how many cups of your hot chocolate and less you sell to break even
Step-by-step explanation:
what is the surface of the square pyramid ?
A. 168,750 square yards
B. 5625 square yards
C. 14,625 square yards
D. 20,250 square yards
(50 points)
Answer:
D. 20,250 square yards
Step-by-step explanation:
Base + 4 triangles
(75×75) + 4(½×75×97.5)
5626 + 14625
20250 yd²
Use the distance formula to write an equation of the parabola with focus F(0, -13) and directrix y=13
y=?
(FINALEXAM)
Answer:
-1/52 x^2
Step-by-step explanation:
4p(y-k)=(x-h)^2
4(-13)y=x^2
-52y=x^2
y=-1/52 x^2
what is the equation of the line passing through ( -5, -3 ) and perpendicular
to the line representing the equation y = - 5/7x + 2?
Answer:
y = 7/5x + 4
Step-by-step explanation:
use the slope from the equation -5/7 and take the negative reciprocal to get the perpendicular slope = 7/5. Then use the equation y=mx+b. Plug in x and y from the point given and the new slope and solve for b.
(-3) = (7/5)(-5) + b, (-3) = -7 + b, add 7 to both sides. b = 4. Rewrite the equation now to be y = 7/5x + 4
Solve the following problem:
Given: △SAL, SA = LA
AT − ∠bisector
Prove: m∠L = m∠S
Answer:
[tex]\angle L=\angle S[/tex] using congruence rule
Step-by-step explanation:
Given: ΔSAL, SA = LA and AT is the bisector of [tex]\angle A[/tex]
To prove: [tex]\angle L=\angle S[/tex]
Proof:
Two triangles are congruent if they have same shape and same size.
Consider triangles ALT and AST
AL = AS
As AT bisects [tex]\angle A[/tex], [tex]\angle LAT=\angle SAT\\[/tex]
AT = AT (common side)
So, [tex]\Delta ALT\cong \Delta AST[/tex] ( by SAS congruence rule )
Here, SAS denotes side-angle-side
[tex]\angle L=\angle S[/tex] (using corresponding parts of congruent triangles)
Hence proved
Explanation:
First, we know that △ALT ≅ △AST, because of Side Angle Side Theorem. Next, we know that AL ≅ AS, because it's given.
Since A = A, we can remove A and it gives us m∠L = m∠S.
If you need to show work in math terms, your answer should look something like this:
1. △ ALT ≅ △AST - SAS
2. AL ≅ AS - Given
3. m∠ L ≅ m∠S
Hope this helped!
The area of a square is 196 square meters. What is
the length (in meters) of one side of the square?
Answer:
14 meters
Step-by-step explanation:
A square must have all equal sides, meaning the square root of 196 would be the length and width of the square, the square root of 196 is 14.
Complete section for 18 points.
Answer:
2,3,4,6, and 8
Step-by-step explanation:
2 is divisible by 24 because it is a multiple of 24
3 is divisible by 24 because it is a multiple of 24
4 is divisible by 24 because it is a multiple of 24
6 is divisible by 24 because it is a multiple of 24
8 is divisible by 24 because it is a multiple of 24
i am not sure about the explain.
i suck at explaining things
Test each of the following to see if it is divisible by 2,3,4,5,6,8,9,10, or 25 and say why.
1)24Answers:
Divisible by 2: yes, because it is an even number. The even numbers are those which end in 0, 2, 4, 6, or 8. Result: 24/2 = 12
Divisible by 3: yes, because the sum of its digits is a multiple of 3: 2 + 4 = 6 is a multiple of 3. Result: 24/3 = 8
Divisible by 4: yes, result: 24/4 = 6
Divisible by 5: no, because a number is divisible by 5 if it ends in 0 or 5.
Divisible by 6: yes, because it is divisible by 2 and by 3, then it is divisible by 6. Result: 24/6 = 4.
Divisible by 8: yes, result: 24/8 = 3
Divisible by 9: no, because the sum of its digits is not a multiple of 9.
Divisible by 10: no, because a number is divisible by 10 if it ends in 0.
Divisible by 25: no, because 25 is a number greater than 24.
Spymore
E=mc
(the 'c' is squared btw.. it has a little 2 at upper right conner)
To solve for " m " in the formula shown above, you should:
Select one:
a. A.) Divide both sides of the equation by c squared.
b. B.) Subtract c squared from both sides of the equation.
c. C.) Multiply both sides of the equation by c squared.
d. D.) Add a negative c squared to both sides of the equation.
Answer:
A
Step-by-step explanation:
Divide both sides of the equation by c²
Given the exponential equation y=34(5)x, what is the y-intercept (or starting point) of the graph?
Answer:
34
Step-by-step explanation:
Given
y = 34[tex](5)^{x}[/tex]
To find the y- intercept let x = 0, that is
y = 34[tex](5)^{0}[/tex] = 34 × 1 = 34 ← y- intercept
Please help! I will give you brainliest !
Answer:
70 and 21
Step-by-step explanation:
6parts of the ratio represents 84 students
Divide 84 by 6 to find the value of one part of the ratio
84 ÷ 6 = 14 ← value of 1 part of the ratio, thus
5 parts = 5 × 14 = 70 ← number of Michigan students
Indiana students = 175 - (84 + 70 ) = 175 - 154 = 21
Divide and answer in simplest form: 4/5 ÷ 2
Answer:
2/5
Step-by-step explanation:
4/5*1/2=4/10=2/5
Answer:
0.4 or [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
First convert 4/5 into a decimal of 0.8
Then divide 0.8 by 2 which gives you 0.4 or [tex]\frac{2}{5}[/tex]
The probability of not choosing a black shirt is...? please explain!
Answer:
80% or 8/10.
Step-by-step explanation:
Assuming the shirts in the bottom right are the "black" shirts, there is ten total shirts (1 red, 4 blue, 2 green, 1 white, 2 black.) Out of the ten shirts, 8 are not black. This means that there is an 80% chance that you will select a shirt that is NOT black.
without calculating steven says that prisms A and B have the same volume. Explain why Steven is correct
Answer:
The shapes are the same, just one is sideways. They also have very similar measurements.
Step-by-step explanation:
Even so, when we check this we get:
(1 1/2 x 1 3/4) 7 = (3 x 1 3/4) 3 1/2
when simplified (solved) this is: 18 3/8 = 18 3/8
In a Normal Distribution. What percentage of the values lie below the Mean?
100%
75%
25%
50%
Answer:
50%
Step-by-step explanation:
The mean ideally should be in the exact middle
Which three-dimensional figures have lateral faces that are polygons? Check all that apply. cones cylinders hemispheres prisms pyramids spheres
Answer:
Prisms
Pyramids
Step-by-step explanation:
Lateral faces of a pyramid are triangles (3 sided polygon)
Lateral faces of prisms are rectangles (4 sides polygon)
Answer:
Cylinders, Prisms, Pyramids
Step-by-step explanation:
Hope this helps
Brainliest if correct pls
a rectangular field has side lengths that measure 9/10 mile and 1/2 mile what is the area of the field
Answer:
[tex]\frac{9}{20}miles^2=0.45miles^2[/tex]
Step-by-step explanation:
To find the area of a rectangle:
[tex]a=l*w[/tex]
where [tex]l[/tex] is the length and [tex]w[/tex] is the width.
In this case:
length: [tex]l=\frac{9}{10}miles[/tex]
width: [tex]w=\frac{1}{2} miles[/tex]
thus, we multiply this quantities to find the area:
[tex]a=(\frac{9}{10} miles)(\frac{1}{2}miles )\\\\a=\frac{9*1}{10*2}miles^2\\ \\a=\frac{9}{20}miles^2[/tex]
the area of this rectangle is 9/20 miles squared, or what is the same 0.45 miles squared
Will mark brainliest!
Answer:
48
Step-by-step explanation:
6*8 = 48
I've seen you so "Will mark brainliest," many times today. Do not export people if that is what you're doing.
Answer:
Your answer is 48 sq. ft.
Step-by-step explanation:
Why? Because A= L(W) Therefore, A= 8(6)=48
What is the area of the triangle?
A right triangle with side lengths 3 inches, 4 inches, and 5 inches.
A.6 square inches
B.7 and one-half square inches
C.10 square inches
D.12 square inches
Answer:
The answer is A. 6 square inches
Step-by-step explanation:
The area of a triangle is half the product of the height and base