Answer:
(ab + cd + ac - bd)(ab + cd - ac + bd)
Step-by-step explanation:
(ab + cd)² - (ac - bd)² ← is a difference of squares and factors in general as
a² - b² = (a + b)(a - b)
Here a = ab + cd and b = ac - bd , then
= (ab + cd + ac - bd)(ab + cd - (ac - bd))
= (ab + cd + ac - bd)(ab + cd - ac + bd)
(b) A private club grew by 9 members each week for 81 weeks. What was the total change in the
club's size?
Answer:
729
Step-by-step explanation:
number of members increased by ❌ number of weeks
Porfavor para hoy dice el papa de Rafael va a construir una picina afuera de su casa en forma de cuadrado en el area de 121 pies cuadradas. Alrededor de la picina quiere construir una plataforma de cuatro pies de ancho, Explicale a Rafael paso apaso como calcular el perimetro de la plataforma, Despues me dice que explique paso a paso en mis propias palabras como calcular el perimetro de la plataforma
Answer:
Deducir ecuación de área del cuadrado/Despejar y calcular longitud de lado/Deducir ecuación de perímetro/Calcular perímetro del cuadrado.
Perímetro: 44 pies cuadrados.
Step-by-step explanation:
Podemos explicarle al papa de Rafael lo siguiente:
Estimado señor.
Una piscina de forma cuadrada tiene la forma de un cuadrilátero con cuatro lados iguales y cuatro ángulos rectos en sus vértices. El área del cuadrado es igual a la longitud de cualquiera de sus lados multiplicada por si misma. Es decir:
[tex]A = l\cdot l = l^{2}[/tex] (Eq. 1)
Entonces, la longitud de cualquiera de sus lados es la raíz cuadrada del área de su piscina. Es decir:
[tex]l =\sqrt{A}[/tex] (Eq. 1b)
Donde [tex]l[/tex] y [tex]A[/tex] son la longitud de lado y el área de la piscina, medidos en pies y pies cuadrados, respectivamente.
Si sabemos que su piscina tiene un área de 121 pies cuadrados ([tex]A = 121\,ft^{2}[/tex]), entonces la longitud del lado de piscina es:
[tex]l = \sqrt{121\,ft^{2}}[/tex]
[tex]l = 11\,ft[/tex]
Tenemos que la longitud del lado es 11 pies.
Ahora, el perímetro es la suma de las longitudes de los lados del cuadrado. Si el cuadrado tiene 4 lados de igual medida, entonces el perímetro del cuadrado es igual a cuatro veces esa longitud. Esto es:
[tex]p = 4\cdot l[/tex] (Eq. 2)
Donde [tex]p[/tex] es el perímetro, medido en pies.
Si conocemos que la longitud del lado es 11 pies ([tex]l = 11\,ft[/tex]). En consecuencia, encontramos que el perímetro de su piscina es:
[tex]p = 4\cdot (11\,ft)[/tex]
[tex]p = 44\,ft[/tex]
El perímetro de su piscina es de 44 pies.
Which equation can be used to solve the problem
below?
If four times a number is increased by 15,
the result is three less than the result is three less than six times the number. Find the number. Is it A, B, C, or D?
A. 4(x + 15) = 6x - 3
B. 4x + 15 = 6(x - 3)
C. 4x + 15 = 6x - 3
D. 4x + 15 = 3 - 6x
Answer: D. 4x + 15 = 3 - 6x
Step-by-step explanation:
Which represents the distance between A(2, 3) and B(-1,-1)?
Answer:
5 units
Step-by-step explanation:
(x1, y1) =A(2,3)
(x2,y2) =B(-1,-1)
Using distance formula,
AB^2 = (x2-x1) ^2 +(y2-y1) ^2
=(-1-2)^2 +(-1-3)^2
=9+16
=25
Therefore, AB=5 units
Number 6 and 7 please hurryyyyyyyy
state the set of multiples of 14
between 7 and 84 inclusive
Determine the equation of the Logarithmic Regression that models the data. Then use your equation to determine the amount of sunlight (%) that penetrates to a depth of
150m. Express you answer to the nearest hundredth of a percent
Answer:
Percentage of light that penetrates at 150 m will be 0.94%.
Step-by-step explanation:
By using logarithmic regression calculator,
Equation of the regression line will be,
y = 104.5173 - 20.6711(lnx)
Where x represents the depth of the ocean
And y will represent the penetration of light
Therefore, at the depth of 150 m, penetration of the light will be,
y = 104.5173 - 20.6711[ln(150)]
= 104.5173 - 103.5753
= 0.9420
≈ 0.94 %
Therefore, percentage of light that penetrates at 150 m will be 0.94%.
Which expression is equivalent to this polynomial expression?
(2x^5 + 3y^4)(-4x^2 + 9y^4)
Answer:
-8x^7+18x^5y^4-12x^2y^4+27y^8
Step-by-step explanation:
PLATO
Answer:
[tex]-8x^{6} +18y^{4} x^{4}-12x^{2} y^{4} +27y^{8}[/tex]
Step-by-step explanation:
I did the test and this is the correct answer!
PLEASE HELP!!
Which sentence is the best example of direct address?
A. Parents and kids, listen to what I have to say about destroying
your thirst.
B. When hunger calls, people must obey; we've got just what hunger
demands.
C. If one free shipment is all it takes to be popular forever, why get
left behind?
D. Life in the city can be lonely, but one app brings friends together
instantly
Answer:
A
Step-by-step explanation:
A is the answer because it gives direct address to parents and kids. All the others don't give a direct subject, unlike A that says parents and kids.
Carla wanted to buy a new guitar. Carla deposited $200.00 into a new savings account that
earns interest compounded continuously. After 1 year, she withdrew the entire balance of
$231.00 and bought the guitar. What was the interest rate on the account?
Round your answer to the nearest tenth of a percent.
Answer:
%15.5
Step-by-step explanation:
200+(200x)=231
*x is the interest rate
so let's break down this question by going backwards. we can subract 200 from both sides since we cann easily get rid of +200. so you would get:
200x= 31
Now divide both sides by 200 to eliminate anything else, just to keep x alone.
x= 0.155
and a percent it would be %15.5
and to check:
200+(200*0.155)= 231
Solve for x.
−34x−(−3)=6
A
-3
B
3
C
-4
D
-12
Answer:
B
Step-by-step explanation:
-34x-(-3)=6
-34x+3=6
-34x+3-3=6-3
-34x/-34=3/-34
x=3
5 in
5 in
4.3 in
14 in
5 in
Can you help me find out the surface area
Answer:
SA=231.5 in^2
Step-by-step explanation:
2(1/2[5x4.3])+3(5x14)
2(1/2x21.5)+3x70
2(10.75)+3x70
21.5+3x70
21.5+210
231.5
Train A leaves New York for California at the same time Train B leaves California for New York. They are 2900 miles apart. They both travel at an average speed of 120 mph. A. What is the velocity of train A? B. What is the velocity of train B? C. How long will it take before they meet? Show your work.
Answer:
(A) 120 mph
(B) -120 mph
(C) 12 hours 5 minutes.
Step-by-step explanation:
Given that,
New York and California are 2900 miles apart,
Both the trains A as well as B travel at an average speed of 120 mph.
Assuming that the path between the starting point in New York and the ending point in California is straight, so the given distance of 2900 miles is actually the shortest distance which is the displacement between the source and destination.
So, the given speed on the straight path is actually the velocity.
Assuming that the velocity is positive in the direction from New York towards California.
(A) So, the velocity of train A (towards California) = 120 mph.
(B) The velocity of train B (towards New York) = -120 mph.
(C) Bothy are moving towards each other, so the relative velocity between them is 120+120=240 mph, and the initial distance between them is 2900 miles.
When they meet, the displacement between them becomes zero, displacement covered= 2900-0=2900 miles.
So, the time, t, taken to cover the displacement 2900 miles with a relative velocity of 240 mph is
[tex]t=\frac{2900}{240}[/tex] [as time= displacement / relative velocity]
[tex]\Rightarrow t=12\frac{1}{12}[/tex] hours
=12 hours 5 minutes.
When moving to the left or west, you ______ 1 for every degrees longitude
A. add
B. subtract
Answer:
You are subtracting because your going left and how I remember this is latitude flatitude it weird but thats how I remember.
Let q(x, y) be the statement "x has sent an e-mail mes sage to y," where the domain for both x and y consists of all students in your class. Express each of these quantifi cations in english
The expression of the quantifications in English will be:
There is some student in your class who has sent a message to some student in your class.There is some student in your class who has sent a message to every student in your classEvery student in your class has sent a message to at least one student in your class.There is a student in your class who has been sent a message by every student in your classEvery student in your class has been sent a message from at least one student in your classEvery student in the class has sent a message to every student in the class.What is quantification?Quantification simply means an important component of the mathematical language. The two commonly used quantifiers in mathematics are the universal quantifier (∀) as well as the existential quantifier (∃).
The expression of the quantifications in English is illustrated above.
Learn more about quantifications on:
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27p+41=23+p. show with steps, the final answer should be p=9/13, please show how
Answer:
9/13
Step-by-step explanation:
Everything that crossed the equal sign past with an opositive value.
41-23=18
27-p= 26
18/26
9/13
Factor the polynomial by pulling out the GCF, Factor: 3x^2+6
Answer:
3([tex]x^{2}[/tex]+2)
Step-by-step explanation:
3 is the GCF between 3 and 6
Place 3 outside parenthesis then
divide each term by the GCF
ratios and proportions help
Answer:
[tex]\frac{AD}{AB}[/tex] = 3
Step-by-step explanation:
from the diagram
the horizontal distance AD = 9
the horizontal distance AB = 3
[tex]\frac{AD}{AB }[/tex] = [tex]\frac{9}{3}[/tex] = 3
JC has a VIP membership to a movie theater, so she pays $27 a year and six dollars for each movie she sees. Claire doesn't have a membership, so she pays $8.25 each movie she sees. How many movies would they have to see in a year in order to pay the same amount that year.
Answer:
12 movies
Step-by-step explanation:
Given
VIP
[tex]Base\ Amount = \$27[/tex]
[tex]Per\ movie = \$6[/tex]
Regular
[tex]Per\ movie = \$8.25[/tex]
Required
Determine the number of movies where they pay the same amount
Represent the number of movies with m.
For VIP, we have..
[tex]Expression = 27 + 6 * m[/tex]
[tex]Expression = 27 + 6m[/tex]
For regular, we have
[tex]Expression = 8.25 * m[/tex]
[tex]Expression = 8.25m[/tex]
Equate both expressions
[tex]8.25m = 27 + 6m[/tex]
Collect Like Terms
[tex]8.25m - 6m = 27[/tex]
[tex]2.25m = 27[/tex]
Solve for m
[tex]m = 27/2.25[/tex]
[tex]m = 12[/tex]
A triangle has a base of 3 and a height of 10.
What is it's area?
Answer:
15 square units
Step-by-step explanation:
Equation
Area of a triangle = 1/2 × base × height
Given values:
base = 3 unitsheight = 10 unitsSubstitute given values into the equation:
⇒ Area = 1/2 × 3 × 10
= 15 square units
Answer:
15
Step-by-step explanation:
area=1/2hb
=1/2×10×3
=15
pls brainliest
If p/q = 3 and p + q = 8, then pq = ?
A. 2
B. 6
C. 8
D. 10
E. 12
SHOW EXPLANATION
Answer:
E. 12
Step-by-step explanation:
1. p÷q=3. p+q=8 We know that p and q are positive, as dividing by a negative number gives a negative product.
2. 4÷4 does not equal to 3, so neither p nor q can equal 4.
3. As 6÷2=3, p=6 and q=2, or it could be the other way around.
4. Since p=6 and q=2, 6x2=12.
5. pq=12.
Hope the explanation helps you!
i need help ASAP will give brainliest if correct please show your work:
.Ava’s gym membership costs $50 each month plus a one-time $100 fee. Mark’s gym
membership costs $60 each month plus a one-time $50 fee. At how many months will
Ava and Mark pay the same amount for a gym membership?
Answer:
5 Months
Step-by-step explanation:
For Avas its 50 dollars times 5 months which equals 250 plus the 100 dollar fee makes 350
For Mark its 60 times 5 equals 300 plus the 50 dollar fee makes also 350
Answer:the correct answer would be 5 months
Step-by-step explanation:
I need help with this question
Answer: (3)
Step-by-step explanation:
A baseball team won 20 games and lost 10 games. What percent of the games did the team win?
Answer:66.67%
Step-by-step explanation:What percent of the games did the team win? Question 1114417: A baseball team has won 20 games and lost 10 games. What percent of the games did the team win? = 66.67%.
A warehouse contains 55 boxes. Then a truck delivers a number of boxes at 12:00 p.m. and the team begins to unload them immediately . by 3:30 pm, the warehouse contains 90 boxes. supposes the boxes are unloaded at a constant rate. write a formula that shows that total number of boxes in the warehouse as a function of time where Q(t) is the total number of boxes, and t is the time since noon.
I WILL GIVE BRAINLIEST!!!!!!!!!!!!!
The function that shows this situation is given by Q(t) = 3.5t + 55
What is a linear equation?A linear equation is in the form:
y = mx + b
Where y, x are variables, m is the rate of change and b is the y intercept.
Let Q(t) represent the total number of boxes, and t is the time since noon in hours.
A warehouse contains 55 boxes, hence b = 55. At 3:30 pm (3.5 hours), the warehouse contains 90 boxes.
90 = 3.5m + 55
m = 10
The function that shows this situation is given by Q(t) = 3.5t + 55
Find out more on linear equation at: https://brainly.com/question/12788590
Fractor 32V - 72
Write your answer as a prouduct with a whole number greater than the number 1 ?
This is a Chalange you will resieve 25 gold coins if you answer this Question weather it is right or wrong. You will also resive a thanks heart and poupularity heart and a friend request.
Answer:
Answer:::::1 only ...I think
Which of the following logarithmic expressions have been evaluated correctly?
A. ln 1=0
B. log2 9=3
C. log 1/100=12
D. log3 (−1)=1/3
E. log5 1/125=−3
The correctly evaluated logarithmic expressions are expressions that are true on both sides of the equation, and the expression is ln 1=0
How to determine the correctly evaluated expressionsA. ln 1=0As a general rule, ln 1 = 0
B. log2 9=3Express 9 as 3^2
[tex]\log_2(3^2) =3[/tex]
Apply the law of logarithm
[tex]2\log_2(3) = 3[/tex]
Evaluate
[tex]3.17 = 3[/tex]
The above is not true
C. log 1/100=12Express 1/100 as 10^-1
[tex]\log(10^{-2}) = 12[/tex]
Apply law of logarithm
[tex]-2\log(10) = 12[/tex]
Evaluate
[tex]-2 = 10[/tex]
The above is not true
Options (d) and (e) are also false
Hence, the correctly evaluated logarithmic expressions is ln 1=0
Read more about logarithmic expressions at:
https://brainly.com/question/10727370
yes
Who hates french class and now wants to learn italian or spanish
Answer:
im scared
Step-by-step explanation:
I hose french for middle school and i feel like im gonna die
Which expression can be
used to find the value of
8 x (16 4 2)
Answer:
[tex]8*16 = 128\\ or\\ 8*4 = 32\\ lastly,\\ 8 x 2 = 16[/tex]
these are the 3 ways to find the value of a multi-number parenthesis expression. Remember your PEMDAS.
PEMDAS Meaning
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
A farmer sells 6.8 kilograms of pears and apples at the farmer's market.
3
4
of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?
Answer:
1.7 kg
Step-by-step explanation:
3/4 of 6.8 is 1.7 kg so that means the farmer sold 1.7 kg of apples