Answer:
1/12 : 2/9Step-by-step explanation:
Compound ratio is the multiplication of the ratios:
2/15 : 3/7 and 5/8 : 14/27Multiply to get:
(2/15*5/8) : (3/7*14/27) = 1/12 : 2/9Given ratios,
2/15 : 3/7 and 5/8 : 14/27
Then to find the compound ratio,
We have to multiply,
→ (2/15 × 5/8) : (3/7 × 14/27)
→ 10/120 : 42/189
Now simplify the ratio,
→ 1/12 : 2/9
Thus, required ratio is 1/12 : 2/9.
3, 6, 9, 12, 15,
Tlie common difference " is
Answer:
The common difference is definitely 3. The common difference is the difference between the numbers in a sequence. In the sequence 3,6,9,12, and 15 the common difference is 3.
Evaluate: 5 + 2 • 42?
5 + ( 2 × 42 ) =
5 + 84 =
89
.....
.....
Answer:
89
Step-by-step explanation:
So we will follow PEMDAS in this exact order:
P- Parentheses
E- Exponents
M- Multiplication
D- Division
A- Addition
S- Subtraction
5 + 2 • 42 Equation
5 + (2 • 42) We have no parentheses or exponents so we move on to multiplication
5 + 84 We have no division so we move on to addition
= 89 We have no subtraction so this is our final answer
Condense the expression into a
single logarithm and simplify.
2log10x + + log105
Answer:
log10( 5x^2)
Step-by-step explanation:
2 log10 (x) + log10 (5)
we know that c loga (b) = log a (b^c)
log10 x^2 + log10 (5)
We also know that logc a + logc b = logc (ab)
log10 (x^2* 5)
log10( 5x^2)
4.2 To buy a new car is not a very good investment. In the first year the car will
decrease in value by 25%.
4.2.1
If the car costs R200 000, what will it be worth after 1 year?
Given:
In the first year, the car will decrease in value by 25%.
The cost of a car is Rs. 200,000.
To find:
The worth of the car after 1 year.
Solution:
The cost of a car is Rs. 200,000 and in the first year the car will decrease in value by 25%. So, the worth of the car after 1 year is:
[tex]Worth=200000-\dfrac{25}{100}\times 200000[/tex]
[tex]Worth=200000-\dfrac{1}{4}\times 200000[/tex]
[tex]Worth=200000-50000[/tex]
[tex]Worth=150000[/tex]
Therefore, the worth of the car after 1 year is Rs. 150,000.
The nth term of a sequence is 20 – n?
a) Find the third term of the sequence.
b) Which term in the sequence
the first to have a negative value?
Answer:
a) 17
b) 21st term
Step-by-step explanation:
a) 20 - 3 = 17
b) 20 - 21 = -1
joey is going shopping for a new pair of sneakers. He finds a pair that have an original price of $155. They are on sale today for 30% off. How much does Joey pay for the sneakers including 8% sales tax?
Answer:, Joey will pay $117.18 for sneakers.
Step-by-step explanation:
Given: original price = $155
Discount rate = 30%
Tax rate = 8%
Price after discount = Original price - (Discount) x (original price)
[tex]= 155-0.30\times 155\\\\=155-46.5\\\\=\$\ 108.5[/tex]
Tax = Tax rate x (Price after discount)
[tex]= 0.08 \times 108.5[/tex]
= $ 8.68
Final price for sneakers = Price after discount + Tax
= $ (108.5+8.68)
= $ 117.18
Hence
a square garden has an area of 6400 square find its perimeter
Answer:
80
Step-by-step explanation:
Area of a square is LxL where L is the length of the side
so 6400 = LxL
L = 80
Use a calculator to find the r-value of these data. Round the value to three
decimal places
Answer:
-.985
Step-by-step explanation:
Consider the graph of the function f(x) =
= 10^x
What is the y-intercept of function gif g(x)
=4f(x) + 12
Answer:
(0,8)
Step-by-step explanation:
Let X be 0 and solve for Y to get the intercept
y= - 4([tex]10^{x}[/tex]) + 12
y= - 4 * [tex]10x^{0}[/tex] + 12
y= - 4 * 1 + 12
y= - 4 + 12
y=8
when x=0, y=8
(0,8) is y intercept
The y-intercept of the given function is (0,8).
We have given that,
The graph of the function f(x) = 10^x
The y-intercept of function gif g(x)=4f(x) + 12
What is the intercept?
The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.
Let X be 0 and solve for Y to get the intercept
[tex]y= - 4(10^x) + 12[/tex]
[tex]y= - 4 (10^0) + 12[/tex]
[tex]y= - 4 * 1 + 12[/tex]
[tex]y= - 4 + 12[/tex]
[tex]y=8[/tex]
when x=0, y=8
The y-intercept of the given function is (0,8).
To learn more about the intercept visit:
https://brainly.com/question/1884491
#SPJ5
Samantha earned $15 per hour. After a raise, she now earns $16.50 per hour. What is the percent increase of Samantha’s wages?
Answer:
1.5 percent I 5hink 9ook
Students are asked to estimate the number of gumballs in a jar. Sam says there are 228 gumballs. In actuality, there are 240 gumballs. What is the percent error
Answer:
5%
Step-by-step explanation:
Percent error = (actual - estimated) / actual x 100
(240 - 228) / 240 x 100 = 5%
pls help due in 10 mins
Answer:
Area = 97.4 cm²
Step-by-step explanation:
a = 15 cm
[tex]Area = \frac{ \sqrt 3}{4} a^2\\[/tex]
[tex]=\frac{\sqrt 3}{ 4 } \times 15^2\\\\=\frac{\sqrt 3}{ 4 } \times 225\\\\= 97.4 \ cm^2[/tex]
I need help I don’t get it and it’s hard can someone help me
Answer:
choice 4
Step-by-step explanation:
It's not that hard if you understand once you get past the fancy words
degree= largest exponent
so if something has a degree of 3 we know that the highest exponent is 3
Coeficcent= thing multipllying x
in this case it's 4 which means the number we are looking for is 4x³
Onlyanswer choice 4 meets these criteria
Answer:
The answer is (4) [tex]2x+x^{2} +4x^{3}[/tex].
Step-by-step explanation:
A leading coefficient is the coefficient of the term of highest degree in a given polynomial.
A degree of a polynomial is the largest exponent on one of its variables (for a single variable), or the largest sum of exponents on variables in a single term (for multiple variables).
The answer can be found when the polynomial is rearranged into standard form, and the standard form of the polynomial will look like [tex]4x^{3}+x^{2} +2x[/tex]. A polynomial is in standard form when the term with the highest degree is placed first, followed by the term which has the next highest degree, and so on.
Once the polynomial is in standard form, the leading coefficient is 4 and has a degree of 3. Thus, causing (4) [tex]2x+x^{2} +4x^{3}[/tex] to be the answer.
Adele, Dennis, and Marie are siblings. The sum of their ages is 29. Marie is the eldest, and Adele is the youngest. None of the siblings are older than 16 or younger than 6. No two are the same age. List all the combinations of ages they could be in the organized list below. What is the probability that Marie is 12 years of age?
Answer:
also, Marie = 1/2
Can someone help me out with this at all?
Answer:
1 maps to 1
2 maps to 3
3 maps to 2
Step-by-step explanation:
the correctly assigned answer options describe everything.
there is not much else to say and explain.
these are all true statements due to the symmetry principle of a circle.
when 2 direct connections of two points on the circumference of a circle have the same length, then also their bent distances on the circumference of the circle are the same. and vice versa.
and yes, the perpendicular radius (or diameter) of the circle towards such a line cuts this line in half.
URGENT!!
Choose the steepest line.
y = -2x + 10
y = 5x - 20
y = 10x + 1
y = -12x - 3
Answer:
y=-12x-x
Step-by-step explanation:
y=mx + b
m=slope
m = -12
slope = rise / run -12/1
15
9
determine the value
coso
Answer:
36.87°
Step-by-step explanation:
Given the right angle triangle :
To obtain the value of Cosθ ; we use the trigonometric relation :
Cosθ = Adjacent / Hypotenus
The adjacent angle isn't given :
Opposite = 9 ; hypotenus = 15
Adjacent = √(hypotenus ² + opposite ²)
Adjacent = √(15² - 9²)
Adjacent = √(225 -81)
Adjacent = √144 = 12
Hence,
Cos θ = 12/15
θ = Cos^-1(12/15)
θ = 36.87°
Can someone helpppppppp
Answer:
f(-2) = -3
Step-by-step explanation:
When x = -2 we want the value of y
We use the closed circle value ( open circle does not have a value)
f(-2) = -3
If the first three Fibonacci numbers are given as x, = 1, X2 = 1 and x3 = 2,
what is the value of n for which X, + Xp = 55?
Answer:
n=8
Step-by-step explanation:
which phase best describes the translation from tge graph y=2(x-15)^2 to the graph of y=2(x-11)^2+3?
Answer:
Graph translates 4 units to the left then 3 units up.
Step-by-step explanation:
The constant in the bracket changes for - 15 to -11 . A change of + 4.
This shifts the whole graph horizontally 4 units to the left.
The + 3 moves the whole graph 3 units upwards.
Put these numbers in order from least to greatest.
3/4,0.6, and 0.7
Answer:
O.6, 0.7, 3/4 (0.75)
Can You help me with this problem I’m stuck
Answer:
Last option,
i.e - 30 miles/1houris correct (☑️)
I don't understand help plz
HELP!!!
f(x) =x^2. What is g(x)?
Answer:
C. g(x) = 4x²
Step-by-step explanation:
we have one specific point on g(x) : (1,4)
so, for x=1 the functional value (y) has to be 4.
A. (4×1)² = 4² = 16 and not 4. => wrong
B. 1/4 × 1² = 1/4 and not 4. => wrong
C. 4×1² = 4 and that IS 4 => correct
D. 16×1² = 16 and not 4 => wrong
pls help me..... the question is in the attachment.... thank you
Answer:
I added some attachments as well, I hoped I helped.
Simplify the expression....
Answer:
−3x^2+2x /x−2
Step-by-step explanation:
4x−9x^3/ 3x^2−4x−4
= −9x^3+4x /3x^2−4x−4
= x(−3x+2)(3x+2) /(3x+2)(x−2)
= −3x^2+2x /x−2
The ordered pairs (6,8), (9, 12), (x, 20), (18, y) represent a proportional relationship. Find the value of X and the value of Y. Select the two correct answers.
Answer:
x=15 y=24
Step-by-step explanation:
This is because the rule is x goes up 3 y goes up 4
(9,12)->(x,20)
it skips one, so instead of adding 3 we add six
x=15
(15,20)->(18,y)
you follow the rule and 4.
Y=24
Please hurry i want the answer of this question please
[tex]\displaystyle\bf 1200=12*100=3*4*(2*5)^2=3*2^2*2^2*5^2=2^4*3^1*5^2 \\\\Answer: \boxed{ A)\quad a=4 \quad ; \quad b=1 \quad ; \quad c=2}[/tex]
. If you subtract ½ from a number and multiply the result by ½, you get 1/8 what is the number?
pls answer in detail
Answer:
0.75
Step-by-step explanation:
Answer:
3/4
Step-by-step explanation:
Use x for the equation: (x - 1/2)*1/2 = 1/8
Just go backwards
1/8 is the result, and to get it, you multiply by 1/2, so instead of that, you divide 1/8 by 1/2 instead (Dividing a number by a fraction is the same as multiplying it by its reciprocal. The reciprocal of 1/2 is 2): (1/8)/(1/2) = 1/8 * 2 = 2/8 = 1/4, now since we subtracted 1/2, we add instead: 1/4 + 1/2 = 1/4 + 2/4 = 3/4
Convert 3.5 ⋅ 104 to standard form.
Answer:
In standard notation [tex]3.5 \times 10^4 = 35000[/tex]
In scientific notation, we write a number so that it has single digit to the left of decimal sign and is multiplied by an integer power of 10.
----------------
If it was 3.5 x 104 it would equal 350.