use logarithm table to solve (0.7634)^4
Answer:
[tex]y = {(0.7634)}^{4} \\ log(y) = 4 log(0.7634) \\ log(y) = - 0.46899 \\ y = {10}^{ - 0.46899} \\ y = 0.3396[/tex]
Quadrilateral HIJK is similar to quadrilateral LMNO. Find the measure of side OL. Round your answer to the nearest tenth if necessary. Figures are not drawn to scale.
Answer:
x = 77.5
Step-by-step explanation:
1. Use cross-multiplication to find x.
[tex]\frac{13}{21} =\frac{48}{x}[/tex]
[tex]13x =1008[/tex]
2. Divide and round.
x ≈ 77.5
a die has six faces numbered 1 to 6 .on a single roll of the die ,find the probability of getting 10
Answer:
3/36
Step-by-step explanation:
Ella is building fruit baskets and is filling them with apples and oranges. She has 48 apples and 60 oranges, and wants to make sure each each fruit basket has the same number of apples and oranges with no fruit left over. Choose all options that can be used to make fruit baskets? Select all that apply.
Answer:
Ella could make:
2, 3, 4, 6, or 12 fruit baskets.
Step-by-step explanation:
We know that Ella has 48 apples and 60 oranges.
She wants to make N fruit baskets, such that each one of these fruit baskets has the same number of each fruit.
So we can define the variables:
a = number of apples in each one of these baskets
o = number of oranges in each one of these baskets
Then, if we have N baskets, we must have that:
N*a = 48
N*o = 60
a = 48/N
o = 60/N
And the values of a and o must be integers, then N must be a common factor of 48 and 60.
Remember that every number can be written as a product of prime factors, then let's rewrite 48 and 60 in that way:
48 = 2*24 = 2*2*12 = 2*2*2*2*3
60 = 2*30 = 2*3*10 = 2*2*3*5
Then, the common factors between 48 and 60 are the ones we can make with the prime numbers (that appear in both constructions) these are:
2
3
2*2 = 4
2*3 = 6
2*2*3 = 12
These are all the possible numbers of fruit baskets.
Find the vertex of the graph of the equation $y = -2x^2 + 8x - 15.$
Answer:
(2,-7)
Step-by-step explanation:
Jaime needs to buy a new refrigerator for his apartment. He found what he needed for
$1,300 at a well-known appliance store. The store is offering two options for Jaime to
finance the appliance:
Option: A store credit card with a $1,500 limit:
1) The credit card charges 16.5% annual interest rate
2) The minimum monthly payment is $100 plus the monthly
finance charge
3) No down payment required
4) The loan is expected to be paid off in 12 months to avoid
additional penalties
Option II: The appliance store offers an installment loan for his purchase:
Loan charges a simple interest rate of 12,5%
2) Loan must be paid off in 12 equal payments to avoid penalties
A $300 down payment is required
A Which Option should Jaime choose if he wants the interest he pays to be as
small as possible?
The second option should be chosen as it depicts the amount with the lowest interest.
How to calculate the interestFor option 1, the annual interest will be:
= $1300 × 16.5% = $214.50
The monthly finance charge will be:
= $1300 × (0.165/12)
= $17.88
The minimum monthly payment for the first month will be:
= $100 + $17.88 = $117.88
Hence, the total amount paid will be:
= ($117.88 × 12) + $214.50
= $1629.06
For option 2, the simple interest will be:
= (1300 × 12.5%)
= $162.50
The amount that will be paid monthly will be:
= $1000/12
= $83.33.
In this case, the total amount paid will be:
= $162.50 + $1300
= $1462.50
Therefore, the second option is better as it's cheaper.
Learn more about interest on:
https://brainly.com/question/2294792
Suppose y varies directly with x. If y = −12 when x = −4, find x when y = 24.
Answer:
8
Step-by-step explanation:
y=kx
-12=-4k
k=3
24=3x
x=8
y=kx
-12=-4
k=3
24=3x
X=8
Can you find the
triangle's perimeter
I’m marking branliest
Answer:
The perimeter would be 6x + 12
Step-by-step explanation:
The perimeter of a triangle is the sum of all its sides.
The measures of the sides of the given triangle are:-
3x + 2, x + 6 and 2x + 4
So, to find perimeter add these values together:-
3x + 2 + x + 6 + 2x + 4
Bring all the 'x' terms together first and then the other numbers so we can add them:-
3x + 2x + x + 2 + 6 + 4
6x + 12
The perimeter of the triangle would be 6x + 12AB = [tex]x[/tex] + 6
BC = 2 [tex]x[/tex] + 4
AC = 3 [tex]x[/tex] + 2
To find:-The perimeter of the triangle.
Solution:-[tex]{\boxed{\mathcal{\red{The\: perimeter \:of\:the\:triangle\:is\: 6x\:+\:12.\:✅}}}}[/tex]
Step-by-step explanation:-We know that,
[tex]\sf\pink{Perimeter\:of\:a\:triangle\:=\:Sum\: of\: all \:three\: sides}[/tex]
[tex] = AB + BC + AC \\ = x + 6 + 2x + 4 + 3x + 2 \\ = 6x + 12[/tex]
[tex]\sf\red{Therefore, \:the\: perimeter\:of \:the\:triangle\: is \:6x\:+\:12.}[/tex]
[tex]\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆[/tex]
Can someone help!!!?
Answer:
f^(-1)(x) = 1/5x
Step-by-step explanation:
[tex] \large{f(x) = mx + b \longrightarrow f^{ - 1} (x) = \frac{x - b}{m} }[/tex]
Inverse Function is when we swap the x-term and y-term. Here is an explanation to the inverse of linear function above.
[tex] \large{f(x) = mx + b}[/tex]
Here we define f(x) = y. It is better to use y instead of f(x)
[tex] \large{y = mx + b}[/tex]
Swap x-term and y-term.
[tex] \large{x = my + b}[/tex]
Arrange/Simplify in the y-isolated equation.
[tex] \large{x - b = my} \\ \large {\frac{x - b}{ m} = y} \\ \large{ y = \frac{x - b}{m} }[/tex]
Since the function is in inverse form. It's recommended to use f^(-1) to point out that the function is an inverse of the original function.
[tex] \large \boxed{ {f}^{ - 1} (x) = \frac{x - b}{m} }[/tex]
Hence, y = (x-b)/m is an inverse of y = mx+b. A one-to-one function can have an inverse form. Back to the question!
We are given the linear function:
[tex] \large{f(x) = 5x}[/tex]
We will be using substitution method by substituting the original function in inverse form.
Since we know that the slope is 5 and doesn't have y-intercept which is b-value. Hence
[tex] \large{ {f}^{ - 1} (x) = \frac{x - 0}{5} } \\ \large{ {f}^{ - 1} (x) = \frac{x }{5} } \\ \large{ {f}^{ - 1} (x) = \frac{1}{5} x}[/tex]
Or we swap x-term and y-term.
[tex] \large{f(x) = 5x} \\ \large{y = 5x} \\ \large{x = 5y} \\ \large{ \frac{x}{5} = y} \\ \large{y = \frac{x}{5} = \frac{1}{5} x} \\ \large{ {f}^{ - 1} (x) = \frac{1}{5} x}[/tex]
Need urgent help if possible
Answer:
There was a mistake in line D
===========================================================
Explanation:
Note in the previous line C that Noah multiplied both sides by 5. This is to clear out the fractions, since each have a denominator of 5.
In line D, Noah only multiplied those outer '5's by the first term in each parenthesis group. He didn't use the distributive property correctly.
The distributive property is a*(b+c) = a*b+a*c.
The 'a' is multiplied to everything inside, which are the terms b and c.
-------------------------------
Here are what the steps should look like from line D and onward. Take note of the 30 and 100. This is from 5*6 = 30 and 5*20 = 100.
D) 7*14 - 30 = 12*14 - 100E) 98 - 30 = 168 - 100F) 68 = 68We end up with the same thing on both sides. So this confirms that x = 14/5 is the solution to the original equation.
What is the length of the hypotenuse?
Answer:
65 cm
Step-by-step explanation:
16^2 x 63^2 = 65^2
Find the value of x. Please Helppp
Answer:
x = 18
Step-by-step explanation:
Both angles together make 180, they are essentially supplementary angles thou not on the same line.
Set your formula up as
81 + 5x + 9 = 180
5x = 180 - 81 - 9
5x = 90
x = 90/5
x = 18
I need help please.......
Answer: I and III
Step-by-step explanation:
The origin is at (0,0).
When we look at the graph, we can see that the only visible x and y intercepts are at the origin, (0,0) (an x or y intercept is where the graph intersects the x or y axis). We also know that because the graph is going outwards, it will not have another x or y intercept. So, I is correct.
II would be incorrect because the maximum point would be WAY further up. The maximum point is the highest point the graph will reach.
III is correct because the origin is the lowest point, which means that the origin is the minimum point.
A new LED light bulb uses 10 watts of power. Since
energy
=
power
×
time
, then the energy used for this light bulb can be found my multiplying the power times the time the bulb is lit. If the bulb is lit for one hour, the energy used will be 10 watt*hours or 10 Wh. If three 10 watt bulbs in one room are kept on for 5 hours, how many watt*hours of energy are used?
Parents sometimes yell at their children for leaving the light on in their bedroom when they aren't in the room. If the child's room is lit with two 10 watt bulbs for one extra hour a day for everyday of the year (365), and the cost of energy is $0.068 per kilowatt*hour (kWh), how much money is wasted on lighting that isn't being used, to the nearest cent.
Answer:
150 Wh
I guess the question means, how much money is wasted on lighting in a year ?
$0.50
Step-by-step explanation:
3 × 10W × 5 hours = 150 Wh
2 × 10W × 1 hour × 365 × 0.068 / 1000
divided by 1000, because the price is in kWh (1000 Wh), but the rest of the calculation refers to W. so, we need to bring all factors to the same dimension. the division by 1000 either brings the Wh to kWh, or the price to the price for Wh (instead of kWh). it does not matter which one. just one of these 2 things have to happen here, so that all factors have the same dimension.
=> 20 × 365 × 0.068 / 1000 = 7300 × 0.068 / 1000 =
= 7.3 × 0.068 = $0.50 (rounded from 0.4964)
please help me with these two questions
Answer:
The first is A and the second Is A
plz help me plz help me plz help me I don't want to get grounded the whole summer the question is. the window has the shape of a kite how many square meters of glass were used to make the window?n
Answer:
1800
Step-by-step explanation:
Just find the area of all the triangles and add
Answer:
18 metres squared
Step-by-step explanation:
it looks like you want to find the area of the kite as a whole, and lucky for you, the kite is conveniently cut into right triangles.
to find the area of a right triangle, you use the equation
A = (b × h)/2
where A is the area, b is the base, and h is the height.
now we plug in the numbers for each individual area and solve for the total area.
let's start with the 1st triangle, where it's base is 30cm and the height is 25 cm.
A = (30 × 25)/2
A = 375 cm squared
now the next one whose base is 30 and it's height is also 25 (We just did this last time so the area is the same)
A = 375 cm squared
now we'll do the next one whose base is 30 and height is 35.
A = (30 × 35)/2
A = 525 cm squared
and the last one is the same as the one we just did so I'll just copy the other answer.
A = 525 cm squared
alright now we'll add up all of the areas we just found to get the total area of the kite.
Total A = 375 + 375 + 525 + 525
Total A = 1800 cm squared
now we will divide our total by 100 because it takes 100 centimetres to get 1 metre and what we have right now is centimetres.
1800/100 = 18 metres squared.
PLEASE HELP ME!!! ILL GIVE BRAINLIEST IF ITS RIGHT
Answer:
266.386
Step-by-step explanation:
im not shore if its right, i used a surface area calculator
Answer:
56ft
Step-by-step explanation:
Surface area is adding up all the sides multiplied by 2, so:
8 x 2 = 16ft
8 x 2 = 16ft
12 x 2 = 24ft
24ft + 16ft + 16ft = 56ft
write a liner equation that passes through the point (2, -9) and has a slope of -5
Answer:
y=-5x-9
Step-by-step explanation:
OKAY, HELP PLEASE! NEED AT LEAST AN 80 WERE AT 56!
Answer:
24km²
Step-by-step explanation:
12-4 is 8 and if you visualize the triangle being put on top of the other triangle it makes a complete rectangle in which you multiple 8 time 3 to get 24 km²
Answer:
24 km²
Step-by-step explanation:
12 - 4 = 8
8 ÷ 2 = 4
4 · 3 = 12
12 ÷ 2 = 6
4 · 3 = 12
6 km² + 12 km² + 6 km²
24 km²
Someone please help me out!!
Answer:
That's a right angled Triangle
When viewed upside down
(HINT: 50 can't possibly be the adjacent; Why? Its the longest side(Hypotenuse)... You can also know this by identifying the part of the triangle directly facing the 90° sign)
tanA= Opp/Adj
tanA= 30/40
tanA= 3/4
OPTION D SEEMS LEGIT!!!
Simba is 13 years old. how old will he be in 8 years from now? how old will he be in y years from now?
Answer:
13+8=21 in 8 years
13+y=blank years for now
hope this helps
have a good day :)
Step-by-step explanation:
11. Find the H.C.F of 96 and 120.
Answer:
24.
Step-by-step explanation:
The factors of 96 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
The factors of 120 are: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Then the greatest common factor is 24.
These are the first six terms of a sequence starting with a1 = 80:
80, 40, 20, 10, 5, 5/2, ….
Find a recursive formula for this sequence that is valid for n > 1.
Write your answer in simplest form.
an=?
Answer:
[tex]a _{n} = a( {r}^{n - 1} ) \\ a _{n} = 80(2 {}^{n - 1} ) \\ a _{n} = \frac{80. {2}^{n} }{ {2}^{ 1} } \\a _{n} = 40( {2}^{n} ) \\ a _{n} = ( {2}^{3} \times 5)( {2}^{n} ) \\ a _{n} = 5( {2}^{n + 3} )[/tex]
What is the answer to the Brain Teaser below
Answer:
19
Step-by-step explanation:
The boots are the value of 10, since 3 equal 30. The man is the value of 5 since there are two men (10) and one boot (also 10) which made 20. The ribbon is the value of 4 since there is one man (5) and 2 ribbons (8 ) which made 13. add 10, 5 and 4 and you get 19.
Answer:
16
Step-by-step explanation:
From the first equation, I can infer that one pair of boots equals 10 because 10+10+10=30. Also, I can infer that just one boot equals 5 because there are 6 boots in total and 5+5+5+5+5+5=30
From the second equation, I can infer that one boy equals 5 because 2 boys which equal 10 plus one pair of boots which equals 10 is 20.
From the third equation, I can infer that one pair of ribbons is 4 because the boy equals 5 and 13-5=8. There are two pairs of ribbons so 8/2=4. I can also infer that just one ribbon is 2 because 8 divided by 4 individual ribbons is 2.
So, for the last equation, it would be 5+9+2 which the answer would equal 16. The one boot that would equal 5 plus the boy and 2 individual ribbons he's holding in his hands would equal 9 plus one ribbons which would equal 2 would all equal 16.
Hope this is helpful.
Evaluate: log279
I just need the answer
Answer:
2.44560420
Step-by-step explanation:
HELPPP PLSSS ITS DUE TOMORROW
Show your work. a2 + b2 = c2
c is the side length of the hypotenuse. c2 is the hypotenuse side length multiplied by itself. You need to find the square root of the c2 value in order to solve for c.
We'll be using the Pythagoras property to solve this question.
According to the Pythagoras property,
H² = B² + P²H denotes hypotenuse
B denotes base
P denotes perpendicular
Here,
H = xP = 35 cmB = 12 cm→ (x)² = (35 cm)² + (12 cm)²
→ x² = 1225 cm² + 144 cm²
→ x² = 1369 cm²
→ x = √(1369 cm²)
→ x = 37 cm
Therefore, value of x is 37 cm.
Help quick please!!!
What Is the equation in slope-intercept form of the line that passes through the point (0-4) and is parallel to the line represented by y = x +4?
O y = 2x - 6
O y=-x+6
O y=-2x5
O y=x-4
Answer:
y = x-4
Step-by-step explanation:
y = x +4
This has a slope of 1 since it is in the form y = mx+b where m is the slope and b is the y intercept
Parallel lines have the same slope
The line we are interested in passes through the point (0,-4) which means it has a y intercept of -5
y = mx+b
y = 1x-4
y = x-4
Vig compro un videojuego que tenía un descuento de 60%y pago $39 cual es el precio original del videojuego
Answer:
Precio original= $97.5
Step-by-step explanation:
Dada la siguiente información:
Precio de venta (con descuento)= $39
Porcentage de descuento= 60%
Para calcular el precio orinigal del videojuego, debemos usar la siguiente formula:
Precio original= precio de descuento / (1 - porcentage de descuento)
Precio original= 39 / (1 - 0.6)
Precio original= $97.5
Fraction of the diagram is shade
Answer:
10/30 is the fraction of the diagram shade
Find the volume thank for answer
Given :
A cuboid shaped tank with sides 3.2 cm , 2.8 cm and 1.6 cm.
To Find :
The volume of the tank.
Solution :
We know, volume of a cuboid is given by product of its sides or :
[tex]V = l\times b \times h\\\\V = 3.2 \times 2.8 \times 1.6 \ cm^3\\\\V = 14.336 \ cm^3[/tex]
Therefore, the volume of the tank is 14.336 cm³ .