Answer:
2.4 kg
Step-by-step explanation:
1.5 divided by 5 is 0.3 and 0.3 multiplied by 8 is 2.4
Find the value of x + y, given that 9x^2 - 9y^2 = 72 and x - y = 1.5
Answer:
[tex]5\frac{1}{3}[/tex]
Step-by-step explanation:
[tex]\boxed{a^{2} -b^{2} = (a +b)(a -b)}[/tex]
9x² -9y²= 72
Factorise:
9(x² -y²)= 72
Divide both sides by 9:
x² -y²= 8
(x +y)(x -y)= 8
Given that x -y= 1.5,
(x +y)(1.5)= 8
Divide both sides by 1.5:
x +y= [tex]5\frac{1}{3}[/tex]
The fourth term of a geometric series is 10 and the seventh term of the series is 80. Find the sum to 10 terms of the series.
The geometric series with 4th term as 10 and 7th term as 80 has the sum of the first tenth terms as 1278.75.
How to find sum of terms in geometric series?aₙ = arⁿ⁻¹
where
a = first termr = common ration = number of termsTherefore,
10 = ar³
80 = ar⁶
Hence,
a = 10 / r³
80 = (10 / r₃) r⁶
80 = 10r³
r³ = 80 / 10
r = ∛8
r = 2
a = 10 / 2³
a = 10 / 8 = 5 / 4
The sum of 10 terms can be calculated as follows:
Sₙ = a(rⁿ - 1) / r - 1
Sₙ = 5 / 4 (2¹⁰ - 1) / 2 - 1
Sₙ = 5 / 4 (1024 - 1) / 1
Sₙ = 1.25(1023)
Sₙ = 1278.75
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Solve | x - 6 | = 8
A: x = 14 and x = -14
B: x = 14 and x = -2
C: x = -14 and x = -2
D: x = -14 and x = 2
Answer:
B
Step-by-step explanation:
Answer:
x=-2 or x=14
Step-by-step explanation:
since it's absolute value, this actually has two equations:
x-6=8
and
x-6=-8
we solve x-6=8 by adding 6 to both sides which equals x=14
we solve x-6=-8 by also adding 6 to both sides which equals x= -8+6= -2
I hope this helps! and please mark brainliest!
Fatima has 3 packs of batteries. Each pack contains 4 batteries. She gives her brother 8 batteries to put in his toy robot.
Let b represent the number of batteries Fatima has left.
Which equation could be used to find the value of b?
3×4−8=b
3+4−8=b
3 × 4 + 8 = b
3 + 4 + 8 = b
Using a system of equations, it is found that the equation that could be used to find the value of b is given by:
3×4−8=b
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
Fatima has 3 packs of batteries. Each pack contains 4 batteries, hence:
b = 3 x 4
She gives her brother 8 batteries to put in his toy robot, hence:
b = 3 x 4 - 8
Which means that the first expression is correct.
More can be learned about a system of equations at https://brainly.com/question/24342899
Sarah took out a 4-year loan for $17,000 to purchase a car. If the interest rate on the loan is 1.3% compounded monthly, how much will she pay in total over the 4 years? Round your answer to the hundredths place.
Answer:
ummm maybe 960
Step-by-step explanation:
I d k... if he made no payments it'd still be 8000 right?
Need help and I need answer
Answer:
D
Step by step explanation:
[tex]x^3 \cdot \sqrt[3]{x}\\\\=x^3 \cdot x^{\tfrac 13}\\\\=x^{3+ \tfrac 13}\\\\=x^{\tfrac{10}3}[/tex]
help!! i’ll mark u brainlinest
Answer:
Step-by-step explanation:
So because all straight lines are 180 degrees
180-32 = 148
Answer 148 degrees
I hope that helps!
Answer:
148
Step-by-step explanation:
If you add the measures of Angle BPC and Angle DPB, they will equal 180. This is because they are the two angles that make up an even bigger angle, a straight angle (Angle CPD), that equals 180 degrees. Let's solve for x now.
x + 32 = 180
x + 32 (- 32) = 180 (- 32)
x = 148
Therefore, x is equal to 148. I hope this helps! Have a lovely day!! :)
Can someone please help me with this!! The equation y=4x+2 represents Function G. Which statement is true?
QUESTION :> WHATS STATEMENT IS TRUE ?
ANSWER :> A. OR THE RATE OF FUNCTION G IS GREATER THAN THE RATE OF FUNCTION F BECAUSE
2 > (9 — 7).
HOPE IT HELPS
#CARY ON LEARNINGFind the slope of the line passing through the point (-6,8) and (-9,1)
Which of the following is NOT a characteristic of a plane?
A. thickness
B. width
C. flat surface
D. length
Answer:
A). thickness are correct
Write an explicit formula for an; the nth
term of the sequence 6, 12, 18, ....
Answer:
F(n) = 6n
Step-by-step explanation:
An explicit sequence goes by the pattern: A0 + (n-1)d, where A0 is the starting term, n is the nth term in the sequence, and d is the common difference. The explicit formula for this sequence is F(n) = 6 + 6(n-1), or 6n
A fence has three posts, equally spaced.Each post is 15 centimetres wide.The length of the fence is 153 centimetres.
Answer:
Step-by-step explanation:
because there are 3 posts we need to remove 15 x 3 = 45
153- 45 = 108
108/2 = 54 cm between each post
What is 3 x 1/10 pls answer
Answer:
3/10 or 0.3
Step-by-step explanation:
3 times 1 and you'll get 3 over 10, or in decimal it will be 0.3
1. Shaw High School is having a fundraising event. Products of equal value totaling $480 are sold to an audience of an unknown number of people. The entrance fee is $10.00 per person.
a. What equation gives the total cost per person y as a function of the number of people x, if everyone bought the same amount?
b. How many people must show up in order for the total cost per person to be $16?
HELP MEEEEEEEEEEEEEEEE
Answer:
10x=480 (x=48)
30 people must show up for the total cost per person to be $16
Step-by-step explanation:
p= people
10p = 480
($10 multiplied by the number of people) 10p
p = 48
48 people bought $10 entrance
$16 multiplied by the number of people =16p
16p = 480
p = 30
30 people must show up for the total cost per person to be $16
A Florida newspaper reported on the topics that teenagers most want to discuss with their parents. The findings, the results of a poll, showed that 46% would like more discussion about the family's financial situation, 37% would like to talk about school, and 30% would like to talk about religion. These and other percentages were based on a national sampling of 532 teenagers. Estimate the proportion of all teenagers who want more family discussions about school. Use a 95% confidence level.
Answer:
En la Imagen adjunta
Step-by-step explanation:
Toca Para Abrir Imagen
Espero haberte ayudado si es así dame Corona
Question 3 of 42
What is the y-intercept of the line y= { x-5?
y
O A. Ž
B. 5
C. - 1
D. -5
SUBMIT
Answer:
~Male Y/n here~ I believe your y-intercept would be D. -5.
(Hope this helps!)
The number 1 is a common factor of _________.
A) all odd numbers
B) all even numbers
C) all whole numbers
Step-by-step explanation:
The number 1 is a common factor of C) all whole numbers
Answer:
C
Step-by-step explanation:
6 / 1 = 6. 5 / 1 = 5. every whole number is divisble by 1, even prime numbers.
Find the 70th term of the following arithmetic sequence.
17, 20, 23, 26,
Answer:
Since it starts at 17 and is increasing by 3 each time, the 70th term will be:
17 + 3(70) =
17 + 210 =
227
In conclusion, 227 would be the 70th term in the sequence.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
Step-by-step explanation:
Tn = a + (n - 1)d
n = 70, a = 17, d = > 20 - 17 => 3
T_70 = 17 + (70 - 1)3
T_70 = 17 + 69•3
T_70 = 17 + 207
T_70 = 224
If the difference of 3 / 4 and 1 / 6 of a number is 7, find the number and also verify your answer.
Select the correct answer.
Ron is currently wary of investing in hardware dedicated for his data warehouse. He prefers using system software to connect to different types
of data stores. Which data warehouse is Ron using?
OA. distributed
ОВ.
LAN based
О С.
virtual
OD. multistage
О Е
stationary
The data warehouse that Ron, who is currently using system software to connect to different types of data stores, but is not investing in dedicated hardware is C. virtual.
What is a virtual data warehouse?A virtual data warehouse includes a set of separate databases. These separate databases can be queried together, enabling Ron to effectively access all the data as if it was stored in one data warehouse.
A virtual data warehouse is not like a distributed, LAN-based, multistage, or stationary data warehouse.
In the case of a distributed data warehouse, there is a conglomeration of separate components connected via a network.
Thus, the data warehouse that Ron, who is currently using system software to connect to different types of data stores, but is not investing in dedicated hardware is C. virtual.
Learn more about data warehouses at https://brainly.com/question/25885448
Answer:
C. Virtual
Step-by-step explanation:
The picture shows a piece of transparent paper with a design drawn on it. The paper is then folded twice, as shown. What will be seen on the folded paper?
Answer:
Step-by-step explanation:
Alexandra drew the logo shown on half-inch graph paper. Enter a rule that describes the translation
Alexandra used to create the shadow on the letter A
Answer:
(x+1, y-1)
Step-by-step explanation:
the original logo starts at 1in on the x-axis, the shadow is on 1.5in on the x-axis. menaing it moved 1 square to the right.
which means x+1
while the shadow went down 1 square on the y-axis
this means y-1
SOHCAHTOA geometry
Help quick please!
How would i solve this?
Answer: 32
Step-by-step explanation:
48 - 16 is 32
A line with a slope of -10 passes through the
points (a, 6) and (-6, -4). What is the value
of a?
a =
Which mathematical word describes both 27x and 6x in the expression 27x+6x
coefficient
difference
difference
sum
sum
term
term
The mathematical word describing both 27x and 6x in the expression is "addition" or "sum"
How to use mathematical word to describe an expressionThe mathematical expression is 27x + 6x.
Mathematical expression are combinations of numbers and variables ordered with operations.
Mathematical expression is a combination of numbers, variables, operators (such as addition, subtraction, multiplication or division etc.).
For the given case, the terms are 27x and 6x and the expression formed from them is 27x + 6x.
This simply implies both terms are summed together to give the expression 27x + 6x.
Therefore, the mathematical word describing both 27x and 6x in the expression is "addition" or "sum"
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3. Avery records her rock-climbing progress and finds that her altitude, in kilometers above sea
level, can be represented by a linear model, A = 7+ 1.3t, where t is the number of hours since
Avery started climbing.
Based on this model, how many kilometers above sea level was Avery's altitude before she started
climbing?
km
Using the given linear function, it is found that Avery was 7 kilometers above sea level before she started climbing.
What is a linear function?A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can be interpreted as the initial value.In this problem, her altitude in kilometers after t hours is modeled by:
A(t) = 7 + 1.3t.
The y-intercept is of b = 7, which means that Avery was 7 kilometers above sea level before she started climbing.
More can be learned about linear functions at https://brainly.com/question/24808124
Help help help help help
Answer:
(-9, -6)
Step-by-step explanation:
giving brainliest!!!
Answer:
-7
32
Step-by-step explanation:
a)9-16=-7
b)4-10=-6
2∆-6
36-4
32
1. For each diagram below, find the value of x
— I just need help,
look at picture for information .
Answer:
a = √28
Step-by-step explanation:
The Pythagorean theorem tells you the area of the large square is the sum of the areas of the smaller two squares.
8² = a² +6²
a² = 8² -6² = 64 -36 = 28
Taking the square root, we find ...
a = √28