Answer:
there are 3.75 cups of bleach in 5 batches of the cleaning solution.
Step-by-step explanation:
[tex]5^{3x}-5^{3x-1}=4[/tex] In the following equation, solve for x (to two decimal places if necessary) and write all the steps until the final answer.
Answer:
[tex]x = \frac{1}{3} [/tex]
or x = 0.33
Step-by-step explanation:
[tex] {5}^{3x} - {5}^{3x - 1} = 4 \\ \\ \implies{5}^{3x} - {5}^{3x} . {5}^{ - 1} = 4 \\ \\ \implies{5}^{3x}(1 - {5}^{ - 1} )= 4 \\ \\ \implies{5}^{3x} \bigg(1 - \frac{1}{5} \bigg)= 4 \\ \\ \implies{5}^{3x} \bigg(\frac{5 - 1}{5} \bigg)= 4 \\ \\ \implies{5}^{3x} \times \frac{4}{5} = 4 \\ \\ \implies{5}^{3x} = 4 \times\frac{5}{4} \\ \\ \implies{5}^{3x} =5 \\ \\ \implies \: 3x = 1 \\ \\ \huge \implies \: x = \frac{1}{3} \\\\ \huge \implies \: x = 0.33[/tex]
There is a quadrilateral ABCD in which Q is a point on the side AD and the length of side AB is 18. Segment BQ is the angle bisector of angle ABC and segment CQ is the angle bisector of angle BCD.
Quadrilateral ABCD is a parallelogram. What is BC?
BC =
Answer:
ABCD is the quadrilateral
Find the inverse function of f informally.
f(x) = x^3 + 8
Answer:
[tex]f^-1 (x) = \sqrt[3]{x - 8}[/tex]
Step-by-step explanation:
Custom file created rather than math ML for neatness.
PLEASE HELP ME I WILL GIVE BRAINLEST
i need a help pleass ...................
Answer:
Yes, it is a right triangle. The distance is 6,2.
Step-by-step explanation:
The square of 15 is 225, and the square of 12 is 144. The square of 9 is 81. 144 + 81 = 225, so it's a right triangle.
write in two equivalent forms: fraction, decimal, or percent.
7/8
PLEASE ANSWER QUICK!!!!!!!!! I NEED HELP!!!! FAST!!!!
ty
Answer:
7/8 = 0.875 = 87.5%
Step-by-step explanation:
7/8 = 0.875 = 87.5%
Express as a single natural logarithm
In 2 + In 8 - In 4
In 4
In 6
In 64
[tex]\begin{array}{llll} \textit{logarithm of factors} \\\\ \log_a(xy)\implies \log_a(x)+\log_a(y) \end{array} ~\hspace{4em} \begin{array}{llll} \textit{Logarithm of rationals} \\\\ \log_a\left( \frac{x}{y}\right)\implies \log_a(x)-\log_a(y) \end{array} \\\\[-0.35em] ~\dotfill\\\\ \underline{\ln(2)+\ln(8)}-\ln(4)\implies \underline{\ln(2\cdot 8)}-\ln(4)\implies \ln(16)-\ln(4) \\\\\\ \ln\left(\cfrac{16}{4} \right)\implies \ln(4)[/tex]
An airplane flies into the wind for 5 hours, traveling 900 miles. The airplane then
turns around and flies with the wind, returning to its starting place in 4 hours.
This can be modeled by the following system of equations, where (s) is the speed
of the plane with no wind and (w) is the speed of the wind.
5(s-w)=900
4(s+w) = 900
What is the speed of the wind in miles per hour?
Answer:
22.5 miles per hour
Step-by-step explanation:
Given system of equations
5(s-w)=900
4(s+w)=900
Set equations equal to each other
5(s-w)=4(s+w)
5s-5w=4s+4w
s-5w=4w
s=9w
Solve for w using the substitution s=9w
4(s+w)=900
4(9w+w)=900
4(10w)=900
40w=900
w=22.5
Therefore, the speed of the wind is 22.5 miles per hour
a standard deck of cards missing the queen of hearts in the 2 of clubs what is the probability of pulling either an ace or a spade
=======================================================
Explanation:
In a standard deck, there are 52 cards.
If this deck is missing the queen of hearts and 2 of clubs, then we really have 52-2 = 50 cards in the deck.
There are 4 aces and 13 spades. Those values add to 4+13 = 17, but we need to subtract off 1 to account for the ace of spades counted twice. We have 17-1 = 16 cards that are either an ace, a spade, or both.
Or you can think of it like saying 13 spades + 1 ace of hearts + 1 ace of diamonds + 1 ace of clubs = 16 cards total.
-----------------
The event space has A = 16 cards in it, while the sample space has B = 50 cards.
The probability we're after is A/B = 16/50 = 8/25
Solve each real-world problem below, showing all of your work. You must state the starting amount and rate of change for each problem. You must also write the linear equation used to solve the problem. The memory card in Carla's camera can hold 1,024 pictures. On April 30th, Carla sees that she has 235 pictures on the memory card. She plans to take 35 pictures each day in the month of May. How many pictures will Carla have on the memory card on May 16th? On what day will the memory card be full?
Carla would have about 795 pictures on May 16th.
Linear equationA 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 y represent the number of pictures after x days.
At April 30th, Carla sees that she has 235 pictures, hence b = 235. Also, she takes 35 pictures each day, hence m = 35. The equation is:
y = 35x + 235
On May 16th, x = 16 hence:
y = 35(16) + 235 = 795
Carla would have about 795 pictures on May 16th.
Find out more on Linear equation at: https://brainly.com/question/14323743
Find the area of the composite figure.
Answer:
The Area of the composite figure would be 76.26 in^2
Step-by-step explanation:
According to the Figure Given:
Total Horizontal Distance = 14 in
Length = 6 in
To Find :
The Area of the composite figure
Solution:
Firstly we need to find the area of Rectangular part.
So We know that,
[tex]\boxed{ \rm \: Area \: of \: Rectangle = Length×Breadth}[/tex]
Here, Length is 6 in but the breadth is unknown.
To Find out the breadth, we’ll use this formula:
[tex] \boxed{\rm \: Breadth = total \: distance - Radius}[/tex]
According to the Figure, we can see one side of a rectangle and radius of the circle are common, hence,
[tex] \longrightarrow\rm \: Length \: of \: the \: circle = Radius[/tex]
Since Length = 6 in ;[tex]\longrightarrow \rm \: 6 \: in = radius[/tex]
Hence Radius is 6 in.
So Substitute the value of Total distance and Radius:
Total Horizontal Distance= 14 Radius = 6[tex] \longrightarrow\rm \: Breadth = 14-6[/tex]
[tex] \longrightarrow\rm \: Breadth = 8 \: in[/tex]
Hence, the Breadth is 8 in.
Then, Substitute the values of Length and Breadth in the formula of Rectangle :
Length = 6Breadth = 8[tex] \longrightarrow\rm \: Area \: of \: Rectangle = 6 \times 8[/tex]
[tex]\longrightarrow \rm \: Area \: of \: Rectangle = 48 \: in {}^{2} [/tex]
Then, We need to find the area of Quarter circle :
We know that,
[tex]\boxed{\rm Area_{(Quarter \; Circle) } = \cfrac{\pi{r} {}^{2} }{4}} [/tex]
Now Substitute their values:
r = radius = 6 π = 3.14[tex]\longrightarrow\rm Area_{(Quarter \; Circle) } = \cfrac{3.14 \times 6 {}^{2} }{4} [/tex]
Solve it.
[tex]\longrightarrow\rm Area_{(Quarter \; Circle) } = \cfrac{3.14 \times 36}{4} [/tex]
[tex]\longrightarrow\rm Area_{(Quarter \; Circle) } = \cfrac{3.14 \times \cancel{{36} } \: ^{9} }{ \cancel4} [/tex]
[tex]\longrightarrow\rm Area_{(Quarter \; Circle)} =3.14 \times 9[/tex]
[tex]\longrightarrow\rm Area_{(Quarter \; Circle) } = 28.26 \: {in}^{2} [/tex]
Now we can Find out the total Area of composite figure:
We know that,
[tex]\boxed{ \rm \: Area_{(Composite Figure)} =Area_{(rectangle)}+ Area_{ (Quarter Circle)}}[/tex]
So Substitute their values:
[tex]\rm Area_{(rectangle)}[/tex] = 48 [tex]\rm Area_{(Quarter Circle)}[/tex] = 28.26[tex]\longrightarrow \rm \: Area_{(Composite Figure)} =48 + 28 .26[/tex]
Solve it.
[tex]\longrightarrow \rm \: Area_{(Composite Figure)} =\boxed{\tt 76.26 \:\rm in {}^{2}} [/tex]
Hence, the area of the composite figure would be 76.26 in² or 76.26 sq. in.
[tex] \rule{225pt}{2pt}[/tex]
I hope this helps!
1)make x the subject of formula
Y = 6x + 11
2) make b and h the subject of formula
A =
[tex] \frac{1}{2} bh[/tex]
Answer:
o 1)
[tex]Y= 6x + 11 \\ \\ 6x = Y - 11 \\ \\ x = \frac{Y - 11}{6} \\ \\ x = \frac{Y}{6} - \frac{11}{6} [/tex]
___o__o__
o 2)
[tex]A = \frac{1}{2} bh \\ \\ bh = A \div \frac{1}{2} \\ \\ bh = A \times 2 \\ \\ bh = 2A[/tex]
[tex]b = \frac{2A}{h} [/tex]
[tex]h = \frac{2A}{b} [/tex]
Write an expression for each of the expressions below by combining the like terms: 2y + 7y
9y
(space fillerrrrr)
a room in a bank is shaped like the rectangular prism shown below. the room has a security system that is triggered by two laser beams which stretch from point a to d and point b to c. how many total feet of laser beams are there?
There are 8 laser beams.
What is Pythagoras theorem?The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagorean theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.
The length of the laser beams is the addition of the segments AD to segment CB (which are equal).
Using Pythagoras theorem in ECD
ED² = EC² + CD²
ED= √(12² + 35²)
ED = √144 + 1225
ED = 37 unit
Again In Triangle AED
AD² = EA² + ED²
AD=√15² + 37²
AD = 40 unit
Then, there are total of 80 ft of laser beams.
Learn more about Pythagoras theorem here:
https://brainly.com/question/343682
#SPJ7
PLEASE HELP ME QUICKKK, FIRST CORRECT PERSON GETS BRAINLIEST
Answer:
C
Step-by-step explanation:
hope this helps :)
What is the length of the hypotenuse of the right triangle shown below? Type your answer as an integer. A right triangle has two sides of length 3 and 4.
Answer:
5
Step-by-step explanation:
This is the Pythagorean theorem:
[tex]a^{2} +b^{2} =c^{2}[/tex]
The hypotenuse is c so we need to make c the subject:
[tex]c = \sqrt{a^{2}+b^{2} }[/tex]
To do this I simply square rooted both sides.
Now we substitute values given to get the answer of the hypotenuse:
[tex]c = \sqrt{3^{2} + 4^{2} }[/tex]
[tex]c = \sqrt{9+16}[/tex]
[tex]c = \sqrt{25}[/tex]
c=5
The lengths 3,4,5 of a triangle are known as a Pythagorean triple.
A Pythagorean triple consists of three positive integers a, b, and c, such that a² + b² = c².
Add the fraction and whole numbers
5 13/16 +
2 1/8 +
3 3/4
Answer:
The sum of the three mixed numbers is 11 and 9.5/16.
Step-by-step explanation:
5 and 13/16
2 and 1/8 = 2 and 0.5/16
3 and 3/4 = 3 and 12/16
10 and 25.5/16
11 and 9.5/16
Answer:
[tex]11\frac{11}{16\\} \\[/tex]
Step-by-step explanation:
Separate fractions and whole numbers
5 2 3 13/16 1/8 3/4
Add whole numbers and fractions (where the denominator is 16)
5+2+3=1
13/16+1/8+3/4 =
13/16+2/16+12/6=
27/16 =
[tex]1\frac{11}{16\\} \\[/tex]
27/16+10 = [tex]11\frac{11}{16\\}[/tex]
Find the x- and y -intercepts of the graph of the linear equation -6x+9y=-18 .
The x -intercept is
.
The y -intercept is
.
Answer:
The x -intercept is (3, 0)
The y -intercept is (0, - 2)
Step-by-step explanation:
Given equation is: -6x + 9y = -18
To find x - intercept:
Plug y = 0 in the given equation.
-6x + 9(0) = - 18
-6x + 0 = -18
-6x = - 18
x = (-18)/(-6)
x = 3
The x -intercept is (3, 0)
To find y - intercept:
Plug x = 0 in the given equation.
-6(0) + 9y= - 18
0 + 9y = -18
9y = - 18
y = (-18)/(9)
y = - 2
The y -intercept is (0, - 2)
When a cube with sides numbered 1 trough 6 is
rolled 1 time what is the probability of rolling a 4
or greater
Answer:
The probability of rolling a 4 or greater is 12
Step-by-step explanation:
hope it helps you
mark me as branliest
HELP IM DESPRITE
Matthew can spend up to $75 on supplies for his garden. The flowers will cost $38 and he wants to spend the rest on bags of top soil. Each bag of top soil costs $6.
How many bags of top soil can he buy?
Answer:
6 bags.
Step-by-step explanation:
Subtract 38 from 75 to represent the remaining amount of Matthew's money.
[tex]75-38=37.[/tex]
Matthew has $37 left over from buying flowers.
Divide 37 by 6 to represent how many bags of soil he can buy.
[tex]37\div6=6\frac{1}{6}[/tex]
Matthew can only buy 6 bags of soil, 1/6 isn't included because you can't buy a fraction of a bag.
Type an order pair ()
I don't know how to do this
Answer:
a) 2x + 3; b) 0
Step-by-step explanation:
Area = [tex]4\pi x^2+12\pi x+9\pi =\pi (4x^2+12x+9)=\pi (2x+3)^2[/tex]
Area = [tex]\pi r^2[/tex]
a) radius r = 2x + 3
b) 2x + 3 > 0
x > -3/2
The least possible integer value of x is 0
what is petrification???????????..
Answer:
the process by which organic matter exposed to minerals over a long period is turned into a stony substance.
Step-by-step explanation:
Picture example:
Martha simplified the expression ———-, putting it into the form ———-. what is the value of a - b?
The expression is in the photo.
A. 2
B. 4
C. 5
d. 7
Eric uses 585 liters of water to water his lawn. How many milliliters of water does he use?
Answer: 585000mL
Step-by-step explanation:
We know that there are 1000 milliliters (mL) in a liter (L), hence the prefix milli meaning thousand (for future reference).
As a result, in order to find the amount of milliliters, we need to multiply the amount of liters by 1000.
585Lx1000 = 585000mL
Remember: 1L = 1000mL; mL = 1000L
Answer:
585 into milimiter is 585000000mm
Step-by-step explanation:
that is the answer thank you
Using Postulates and/or Theorems learned in Unit 1, determine whether ABC~AXY.
Show all your work and explain why the triangles are similar or why they are not.
Explanation:
AB = AX+XB = 8+22 = 30
The ratio of AB to AX is AB/AX = 30/8 = 3.75
AC = AY+YC = 9+33 = 42
The ratio of AC to AY is AC/AY = 42/9 = 4.67 approximately
Since we don't get the same result, this means that the equation AB/AX = AC/AY is not true. The sides are not in proportion with one another, and therefore the triangles aren't similar.
The sides need to be in proportion with one another so we could use the SAS similarity rule.
Considering the SAS similarity theorem, triangles ABC and AXY are not similar triangles.
What is the SAS Similarity Theorem?The SAS Similarity postulate or theorem, states that, when two triangles have two pairs of corresponding sides whose ratios are the same, and also has a pair congruent included angles, then, both triangles are similar.
Triangles ABC and AXY have a pair of congruent included angles, ∠BAC ≅ XAY.
Let's find out if their corresponding sides have equal ratios.
Thus:
AB/AX = 30/8 = 3.75
AC/AY = 42/9 = 4.67
Their ratios are not equal.
Therefore, considering the SAS similarity theorem, triangles ABC and AXY are not similar triangles.
Learn more about SAS similarity theorem on:
https://brainly.com/question/22472034
The terminal side of an angle θ in standard position is in quadrant 1. If sinθ=0.8, find cosθ.
Answer:
[tex]cos\theta=\frac{3}{5}[/tex]
Step-by-step explanation:
Since [tex]sin\theta=0.8[/tex] is the same as [tex]sin\theta=\frac{4}{5}[/tex] and [tex]sin\theta=\frac{opposite}{hypotenuse}[/tex], then we know that the side opposite to the angle [tex]\theta[/tex] is 4 units and the hypotenuse is 5 units.
Because [tex]cos\theta=\frac{adjacent}{hypotenuse}[/tex], then we have to find the adjacent side to the angle [tex]\theta[/tex] using the Pythagorean Theorem:
[tex]a^2+b^2=c^2\\\\(adjacent)^2+(opposite)^2=(hypotenuse)^2\\\\(adjacent)^2+4^2=5^2\\\\(adjacent)^2+16=25\\\\(adjacent)^2=9\\\\adjacent=3[/tex]
Therefore, since the adjacent side is 3 units, then [tex]cos\theta=\frac{3}{5}[/tex]
What is 0.08 divided by 0.24
Please hurry and answer please
What's the area of a triangle whose base has a length of 27 units and whose height is
16 units?
A) 108 square units
B) 144 square units
C) 216 square units
OD) 432 square units
Answer:
216 units^2
Step-by-step explanation:
the formula to calculate area of triangle is 1/2 b×h
so...
[tex] \frac{1}{2} (27) \times (16) \\ = 216 {units}^{2} [/tex]
Answer:
Step-by-step explanation:
144 units^3
Find the surface area of the net below.
Answer:
okay so first to find the surface area of the net below you should always start from the line that is pointing at the end of the the i n u m so you see that is between 8 1/8 and 2 so you see the line you draw a line in the middle between 8 and then when you look and then you draw another line were 19 years and then you draw another line so you can see that at the top of 19 and there at the bottom of 918 you see that you can find the Nets below because you can see me you draw your line it shows you Drawing the Line because when you draw a circle in the middle and then you draw a another little circle in the middle is shows the surface area of the net below so bye