Answer:
116 cm²
Step-by-step explanation:
a = side length of A
b = side length of B
b = a + 4
b² = a² + 70
(a+4)² = a² + 70
a² + 8a + 16 = a² + 70
8a + 16 = 70
8a = 54
a = 54/8 = 27/4 = 6.75
b² = a² + 70 = 6.75² + 70 = 45.5625 + 70 =
= 115.5625 ≈ 116 cm²
our does your teacher mean 3 significant figures after the decimal point ? then it would be
115.563 cm²
A stationer fixes an equal rate of profit in his each item . If he sells a calculator costing Rs 700 for Rs 756 , how much should a customer pay for a novel book costing Rs 450 ?
Answer:
The customer should pay RS 506 for a novel book costing RS 450.
Step-by-step explanation:
We are given that
Selling price of calculator, S.P=RS 756
Cost of calculator, C.P=RS 700
We have to find S.P of novel book when the cost of novel book RS 450.
Profit=S.P-C.P
Profit=756-700
Profit=RS 56
Profit of each item is equal.
Therefore, profit for novel book=RS 56
C.P of novel book=RS 450
S.P=C.P+ Profit
Using the formula
S.P=450+56
S.P=RS 506
Hence, the customer should pay RS 506 for a novel book costing RS 450.
Violet bought 2 yards of fabric. She will use it to make new pillow covers. How many inches of fabric did Violet get?
Answer:
24 inches
Step-by-step explanation:
2 yards to inches :
2 x 12 = 24
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
72 inches
Step-by-step explanation:
1 yard = 3 feet
1 foot = 12 inches
1 yard = 3(12) inches or 36"
∴ 2 yards = 72 inches
If y=2x+5, then determine the value of y if x=4.
At the start of 2014, Mike's car is worth 12000. the car depreciates by 30 percent every year. how much is his car worth in 2017
Answer:
$4,116
Step-by-step explanation:
Worth of Mike's car at the start of 2014 = $12,000
If the car is said to depreciates every year by 30% = 30/100 = 0.3
The worth of the car at the start of 2017 is what we are to determine.
This means that the car depreciated by 30% (0.3) for 3 years since 2014 (2017 - 2014 = 3 yrs)
The worth at the start of 2017 would be calculated as follows:
12,000 × (1 - 0.3)³
= 12,000 × (0.7)³
= 12,000 × 0.343
= 4,116
Worth of the car at the start of 2017 would be $4,116
A school held a tennis tournament.After each round,one-forth of the players were eliminated.If there were 64 players at the start of the tournament,which equation models the number of players left after 6 rounds?
Answer:
Option B
Step-by-step explanation:
After each round of the tournament one-fourth players are eliminated.
That means the process of elimination will represent the exponential decay.
Equation of exponential decay is given by the expression,
[tex]y=a(1-r)^n[/tex]
Here, a = Initial number of players
r = Fraction of reduction in the number of players
y = Final number of players
n = Number of rounds
In the given question,
Initial number of the players (a) = 64
Fraction of reduction in the number of players (r) = [tex]\frac{1}{4}[/tex]
= 0.25
Number of rounds (n) = 6
By substituting these values in the expression,
[tex]y=64(1-0.25)^6[/tex]
Therefore, Option B is the answer.
What is the solution to the system of equations?
One-fourth x minus one-half y = 8
One-half x + three-fourths y = negative 5
(–8, –12)
(–8, 12)
(8, 12)
(8, –12)
Answer:
(8 - 12 )
Step-by-step explanation:
Given
[tex]\frac{1}{4}[/tex] x - [tex]\frac{1}{2}[/tex] y = 8
[tex]\frac{1}{2}[/tex] x + [tex]\frac{3}{4}[/tex] y = - 5
Multiply both equations through by 4 to clear the fractions
x - 2y = 32 → (1)
2x + 3y = - 20 → (2)
Multiplying (1) by - 2 and adding to (2) will eliminate the x- term
- 2x + 4y = - 64 → (3)
Add (2) and (3) term by term to eliminate x
0 + 7y = - 84
7y = - 84 ( divide both sides by 7 )
y = - 12
Substitute y = - 12 into either of the 2 equations and solve for x
Substituting into (1)
x - 2(- 12) = 32
x + 24 = 32 ( subtract 24 from both sides )
x = 8
solution is (8, - 12 )
Answer:D:(8,-12)
Step-by-step explanation:took a test:D
Which statement is true regarding the graphed functions?
Answer:
f(2) = 0 and g(2) = 0
f(2) = g(2) TRUE
b) f(0) = 2 and g(0) = -2
f(0) = g(0) FALSE
c) f(2) = 0 and g(0) = -2
f(2) = g(0) FALSE
d) f(0) = 2 and g(2) = 0
f(0) = g(2) FALSE
Use the Parabola tool to graph the quadratic functions.
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola. (Applies to all functions.)
1. f(x)=2x^2−8x+9
2.f(x)=(x+4)^2−6
3. f(x)=(x−1)(x−3)
Step-by-step explanation:
HOPE IT WILL BE HELPED U DEAR FRIEND
Answer my question pleaSE, I will give you brainlest!
Answer: 30
Step-by-step explanation: So clearly we want 45 to be divided into x and 2x. Because the sum of the two parts is 45, so x + 2x = 45 which gives us the value of x = 15.
So the boy has 15 while the girl has 30
he tables for f(x) and g(x) are shown below.
x
f(x)
–5
–11
–2
1
1
13
5
29
x
g(x)
–5
–7
–2
–1
1
5
5
13
What is the value of (f – g)(5)?
–18
–4
16
42
Answer:
[tex](f - g)(5) = 16[/tex]
Step-by-step explanation:
Given
See attachment for tables
Required
[tex](f - g)(5)[/tex]
This is calculated as:
[tex](f - g)(5) = f(5) - g(5)[/tex]
From the table, we have:
[tex]f(5) = 29;\ \ g(5) = 13[/tex]
So:
[tex](f - g)(5) = 29 - 13[/tex]
[tex](f - g)(5) = 16[/tex]
Answer:
Keep it simple: 16
Step-by-step explanation:
Which equation shows how to use equivalent fractions to evaluate 5/7 + 1/2.
Choose 1 answer:
Answer:
last one
Step-by-step explanation:
[tex]\frac{5}{7}[/tex] = [tex]\frac{10}{14}[/tex]
[tex]\frac{1}{2}[/tex] = [tex]\frac{7}{14}[/tex]
need common denominators to add fractions.
what ever is multiplied to the bottom needs to be multiplied to the top
for example : [tex]\frac{5}{7}[/tex] x [tex]\frac{2}{2}[/tex] = [tex]\frac{10}{14}[/tex]
A credit card has a nominal annual interest rate of 18%, and interest is compounded monthly. The cardholder uses the card to make a $30 purchase.
Which expression represents the balance on the card after 5 years, in dollars, assuming no further charges or payments are made?
Answer:
30 [tex](1 + \frac{.18}{12})^{5*12}[/tex]
Step-by-step explanation:
What is the value of x in the equation 1/3 X- 2/3= -18
-56
0-52
52
56
Answer:
x = - 52
Step-by-step explanation:
Given
[tex]\frac{1}{3}[/tex] x - [tex]\frac{2}{3}[/tex] = - 18 ( multiply through by 3 to clear the fractions )
x - 2 = - 54 ( add 2 to both sides )
x = - 52
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {b. \:-52}}}}}}[/tex]
[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}[/tex]
[tex] \frac{1}{3} x - \frac{2}{3} = - 18\\[/tex]
➺[tex] \: \frac{1}{3} x = - 18 + \frac{2}{3}\\ [/tex]
➺[tex] \: \frac{1}{3} x = \frac{ - 18 \times 3}{1 \times 3} + \frac{2}{ 3} \\[/tex]
➺[tex] \: \frac{1}{3} x = \frac{ - 54 + 2}{3}\\ [/tex]
➺[tex] \: \frac{1}{3} x = \frac{ - 52}{3} \\[/tex]
➺[tex] \: x = \frac{ - 52 \times 3}{3}\\ [/tex]
➺[tex] \: x = - 52\\[/tex]
[tex]\sf\pink{Therefore, \:the \:value \:of\: x\:is \:-52.}[/tex]
[tex]\sf \bf {\boxed {\mathbb {TO\:VERIFY:}}}[/tex]
[tex] \frac{1}{3} \times ( - 52) - \frac{2}{3} = - 18\\[/tex]
➼[tex] \: \frac{ - 52}{3} - \frac{2}{3} = - 18\\[/tex]
➼[tex] \: \frac{ - 52 - 2}{3} = - 18\\[/tex]
➼[tex] \: \frac{ - 54}{3} = - 18\\[/tex]
➼[tex] \: - 18 = - 18\\[/tex]
➼ L. H. S. = R. H. S.
Hence verified.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
 15 miles in 10 hours would be how many miles per hour?
Answer:
1.5 miles per hour
Step-by-step explanation:
Take the number of miles and divide by the number of hours
15 miles / 10 hours
1.5 miles per hour
a)A fruitseller bought 50kg of the fruits. He sold 30kg of fruits for the cost price of 35kg of fruits and he sold the remaining quantity for the cost Price of 18kg of fruits. calculate his profit or loss percent in the total transaction.
A fruitseller bought 50kg of the fruits. He sold 30kg of fruits for the cost price of 35kg of fruits and he sold the remaining quantity for the cost Price of 18kg of fruits. calculate his profit or loss percent in the total transaction.
Answer:-let the cost price be 50x
→he sells 30kg of fruits on it's CP of 35 kg
→CP of 30kg fruits = 30x
→SP of 35kg fruits = 35x
→remaing fruits are 20kg
→he sells 20kg of fruits on CP of 16kg
→CP of 20kg fruits = 20x
→SP of 20kg fruits = 16x
→total CP is = 50x
→total SP is = (35 + 16) = 51x
→SP > CP (it means profit)
→profit = SP-CP
→ 51-50
→ 1
Now,→ Profit% = gain/CP × 100
→ Profit% = 1/50 × 100
→ 2%
Hence the fruit seller had a profit% of 2%.
Help me please the numbers I am using is 1,2,2,3,4,5,6,7,8,9
Answer:
2, 4.5 and 8
Step-by-step explanation:
(1)
The mode is the number which occurs most often , then
mode = 2
(2)
The median is the middle value of the numbers arranged in ascending order. If there is no exact middle value then it is the average of the numbers either side of the middle.
1, 2, 2, 3, 4, 5, 6, 7, 8, 9
↑ middle
median = [tex]\frac{4+5}{2}[/tex] = [tex]\frac{9}{2}[/tex] = 4.5
(3)
The range is the difference between the largest and smallest values
range = 9 - 1 = 8
Answer:
If your numbers are 1,2,2,3,4,5,6,7,8,9
Step-by-step explanation:
1.Mode is the data in the value which occurs most frequently.
The mode of your number is 2 cause its frequency is 2 times and its known as bimodal.
2.Median is the middle value when the data is arranged in order of size.
The median of your number is
1,2,2,3,4,5,6,7,8,9
4+5=9
2
=4.5 So,the median is 4.5
3.Range is the difference between the highest value and the smallest value of a given data.
Your range is
Range=9-1=8
I THINK IT MIGHT HELP YOU!!!
10 points!!!!!! 16-20 please answer correctly and hurry please
Answer:
[tex] \large{ 16.}[/tex]
Two adjacent angles form a linear pair if the sum of those angles is 180°.[tex] \: \large{\tt{❃ \: m \: \angle \: 1 + m \: \angle \: 2 = 180 \degree \: ( \: SUM \: OF \: ANGLE \: IN \: LINEAR \: PAIR)}}[/tex]
[tex] \large{ \tt{⟶ \: 47 \degree + m \angle \: 2 = 180 \degree}}[/tex]
[tex] \large{ \tt{⟶ \: m \angle \: 2 \: = 180 \degree - 47 \degree}}[/tex]
[tex] \large{ \boxed{ \tt{⟶ \: m \: \angle \: 2 = 133 \degree}}}[/tex]
–––––––––––––
[tex] \large{17}.[/tex]
When two lines intersect , the Ames formed opposite to each other are called vertically opposite angles. Vertically opposite angles [ VOA ] are always equal to each other.[tex] \large{ \tt{↝ \: m \angle \: 6 = m \angle5 = \boxed{ 99.5\degree }\: ( \: BEING \: VOA)}}[/tex]
–––––––––––––
[tex] \large{18.}[/tex]
[tex] \large{ \tt{✻ \: m \angle \: JHL = m \angle \: JHK + m \: \angle \: KHL\: }}[/tex]
[tex] \large{ \tt{⤏ \: m \angle \: JHL= 60 \degree + 46 \degree}}[/tex]
[tex] \large{ \boxed{\tt{⤏ \: m \angle \: JHL = 106 \degree}}}[/tex]
Note that m ∠ KHL = 46° [ being vertically opposite angle ]–––––––––––––––
[tex] \large{ {19.}}[/tex]
Firstly , find out m ∠ JHP :[tex] \large{ \tt{❁ \: m \: \angle \: JHK + m \: \angle JHP+ m \: \angle PHN= 180 \degree \: ( \: sum \: of \: angle \: in \: straight \: line)}}[/tex]
[tex] \large{ \tt{↣ \: 60 \degree + m \angle \: JHP+ 46 \degree = 180 \degree}}[/tex]
[tex] \large{ \tt{↣ \: m \angle \: JHP = 74 \degree}}[/tex]
Now , find out m ∠ JHN :[tex] \large{ \tt{☂ \: m \angle \: JHN = m \angle \: JHP + m \angle \: PHN}}[/tex]
[tex] \large{ \tt{↦m \angle \: JHN = 74 \degree + 46 \degree}}[/tex]
[tex] \large{ \boxed{ \tt{ ↦m \angle \: JHN = 120 \degree}}}[/tex]
––––––––––––––––
[tex] \large{ 20.}[/tex]
[tex] \large{ \tt{✺ \: m \angle \: KHP = m \angle \: KHJ + m \angle \: JHP}}[/tex]
[tex] \large{ \tt{ ↬ \: \: m \angle \: KHP = 74 \degree + 60 \degree}}[/tex]
[tex] \large{ \boxed{\tt{↬ \: m \angle \: KHP = 134 \degree}}}[/tex]
And we're done! Yeyy :) . Also , Let me know if you have any questions regarding my answer !––––––––––––––––
[tex] \large{ \tt{ \# \: StayInAndExplore \: !}}[/tex]
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Find the value of x. Around the length to the nearest tenth.
Answer:
x = 6 m
Step-by-step explanation:
x = 16sin22°
x = 6.0 m
Answer:
Step-by-step explanation:
Jada walks dogs to earn money. The points in this graph represent the total amount of money Jada earns based on the number of hours she walks dogs. Jada wants to purchase a new jacket that costs $32.
How many hours does Jada need to walk dogs to earn enough money to buy the jacket?
6 hours
7 hours
8 hours
9 hours
Answer:
8 hours
Step-by-step explanation:
In 4 hours she earns 16 dollars
Since this is proportional ( goes through zero), we can multiply by 2
8 hours = 32 dollars
Jada needs to walk the dog for, 8 hours.
4x8 = 32
What are biofertilisiers
Answer:
Step-by-step explanation:
biofertilizers are fertilizers consist of micro-organisms that will help plant growth. they are different from traditional fertilizers which consist of chemicals
Answer:
Any fertilizers involving living organisms, or the products obtained from living organisms can be referred to as biofertilizer, although nowadays, the term is generally used for living organisms used for fertilizer purpose.
Step-by-step explanation:
Hope this helps
What are the domain and range of the function?
Answer: Domain: (-inf,inf) Range; [-4,inf)
Step-by-step explanation: Domain is x values possible and range is y values possible. Quadratics always have a domain of (-inf,inf) and the range starts from -4 going up infinitely. and if -4 is included then we use a bracket therefore, [-4,inf). Also, infinity always has a parenthesis.
For the given function, determine consecutive values of x between which each real zero is located. f(x)= -8x^4-3x^3-11x^2+8x+16
Answer:
Option C: there are zeros between x = 1 and x = 2, x = 0 and x = -1
Step-by-step explanation:
The function is given as;
f(x) = -8x⁴ - 3x³ - 11x² + 8x + 16
Since it's the real zero of the polynomial we are looking for, it means there is a possibility of getting an imaginary zero of the polynomial.
A zero is the value of x that will make the polynomial equal to zero.
Let's try;
x = -2;
f(-2) = -8(-2)⁴ - 3(-2)³ - 11(-2)² + 8(-2) + 16
f(-2) = -128 + 24 - 44 - 16 + 16
f(-2) = -148
Let's try x = -1;
f(-1) = -8(-1)⁴ - 3(-1)³ - 11(-1)² + 8(-1) + 16
f(-1) = -8 + 3 - 11 - 8 + 16
f(-1) = -8
Let's try x = 0;
f(0) = -8(0)⁴ - 3(0)³ - 11(0)² + 8(0) + 16
f(0) = 16
Lets try x = 1
f(1) = -8(1)⁴ - 3(1)³ - 11(1)² + 8(1) + 16
f(1) = -8 - 3 - 11 + 8 + 16
f(1) = 2
Let's try x = 2;
f(2) = -8(2)⁴ - 3(2)³ - 11(2)² + 8(2) + 16
f(2) = -128 - 24 - 44 + 16 + 16
f(2) = -164
From the values of f(x) gotten from x= -2 to x =2, we can see that the zeros will be closest to x = 0 and x = - 1 and also between x = 1 and x = 2 since that is the range that produced f(x) to be close to zero.
2 brothers are 1m 60 cm and 1m 44cm tall. What is their ratio of their height
Answer: 10:9
Step-by-step explanation:
brother 1- 1m 60cm
brother 2- 1m 44cm
_________________________________________________________
the ratio would be brother 1 : brother 2 => 1m 60cm : 1m 44cm
_________________________________________________________
convert both the values to cm
1m = 100cm
brother 1 would be 100cm + 60cm or 160cm
brother 2 would be 100cm + 44cm or 144cm
_________________________________________________________
[tex]\frac{160}{144} = \frac{10}{9}[/tex] when simplified
the ratio of brother 1 to brother 2 would be 10:9
If f(x)=-4^2-6x-1 and g(x)=-x^2-5x+3 find (f-g)(x)
Given:
The functions are:
[tex]f(x)=-4x^2-6x-1[/tex]
[tex]g(x)=-x^2-5x+3[/tex]
To find:
The function [tex](f-g)(x)[/tex].
Solution:
We have,
[tex]f(x)=-4x^2-6x-1[/tex]
[tex]g(x)=-x^2-5x+3[/tex]
We know that,
[tex](f-g)(x)=f(x)-g(x)[/tex]
[tex](f-g)(x)=(-4x^2-6x-1)-(-x^2-5x+3)[/tex]
[tex](f-g)(x)=-4x^2-6x-1+x^2+5x-3[/tex]
Combining like terms, we get
[tex](f-g)(x)=(-4x^2+x^2)+(-6x+5x)+(-1-3)[/tex]
[tex](f-g)(x)=-3x^2+(-x)+(-4)[/tex]
[tex](f-g)(x)=-3x^2-x-4[/tex]
Therefore, the required function is [tex](f-g)(x)=-3x^2-x-4[/tex].
Write 51000201078 in words
Answer:
Fifty - one billion two hundred one thousand seventy eight
- Let me know if you have any questions regarding my answer :)
Answer:
[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]
[tex]\boxed{51,000,201,078}[/tex]
⟹ Fifty one billion two hundred and one thousand seventy eight.
⁺˚*・༓☾✧.* ☽༓・*˚⁺‧
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
Given the following equation x2 + 12x = x - 24 find the solutions.
(Show All Work)
16a) Set the equation equal to 0 by inverse operations.
16b) Place the equation in factored form.
16c) Set each factor equal to 0 and solve for x.
Answer:
OK , so I'll follow all your instructions:
x² + 12x - x + 24 = 0
x² + 11x + 24 = 0.......product = 24, sum= 11 & factors = 3 & 8
(x² + 3x ) (+ 8x + 24) =0
x ( x + 3) + 8 ( x + 3)=0
( x + 3 ) ( x + 8)=0
x +3 = 0 or x + 8= 0
x = -3. or x = -8
How many quarters are there in 5 3/4?
Answer:
One quarter= 1/4
5 3/4= 23/4
Number of quarters in 5 3/4= 23/4 divided by 1/4
23/4 ÷ 1/4
= 23/4 × 4
=23
I hope this helps!
Answer:
23
Step-by-step explanation:
5x4 + 3
5 x 4 = 20
20 + 3 (3 Is the fraction part)
3) Find the volume of the figure below. Round to the tenth place
the measures of the angles of a triangle are shown in the figure. solve for x
Answer:
10
Step-by-step explanation:
First, we know that the angles of a triangle add up to 180 degrees. We can then sum up our angles as 90 (since it's a right triangle, represented by the square in the bottom left angle) +27+6x+3=180
90+27+6x+3=180
Add up left side
120+6x=180
Subtract 120 from both sides
6x=60
Divide both sides by 6
x=10
Question 24 of 25 The graph of F(x) shown below resembles the graph of G(X) = x2, but it has been changed somewhat. Which of the following could be the equation of F(x)? G(X) = x2 Fx) = ?
Answer:
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!;;;;!!!!!!!!!!!
The required equation of graph f(x) is y = -x²-3.
What is parabola?A parabola is a U-shaped plane curve where any point is at an equal distance from a fixed point (known as the focus) and from a fixed straight line which is known as the directrix.
here, we have,
Given that,
The graph of f(x), resembles the graph of G(x) =x^2 .
We have to find,
Which of the following could be the equation of f(x).
According to the question,
Function, G(X) = x^2 ,
The graph in the given question figure. It is a parabola with vertex at (0,0).
By the graph predict that Sign of x^2 is positive, that is why the parabola opens up.
General equation of parabola is given by,
y = a(x-h)^2 + k
Where, a = 1, and vertex (h, k) is (0,0).
The graph of F(x) unknown function opens down ,
Sign of x^2 as negative. and the vertex is at (0,-3)
To find the equation of function f(x),
Putting the values of a and vertex coordinates,
y = a(x-h)^2 + k
The equation of parabola become:
y = -x²-3.
(solving we get)
Hence, The required equation of f(x) is y = -x²-3.
For more information about Parabola click the link given below.
brainly.com/question/4074088
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