Answer:
3^-x= 3^ 3x + 6
Step-by-step explanation:
match bases
remeber if a^b=a^c where a=a then b=c
remember
(x^m)^n=x^(mn)
1/(x^m)=x^-m
base of 3
(1/3)^x=(3^-1)^x=3^(-x)
27^(x+2)=(3^3)^(x+2)=3^(3x+6)
3^(-x)=3^(3x+6)
-x=3x+6
0=4x+6
-6=4x
-3/2=x
Answer:
x~-0.59179865 or -3/2=x
Step-by-step explanation: I don't wanna type anymore.
2(q–8)<–10 solve for r
Answer:
q < 3
Step-by-step explanation:
2(q–8)<–10
Divide each side by 2
2/2(q–8)<–10/2
q-8 < - 5
Add 8 to each side
q-8+8 < - 5+8
q < 3
Answer:
[tex] = q < 3[/tex]
Step-by-step explanation:
[tex]2(q - 8) < - 10 \\ 2q - 16 < - 10 \\ 2q < - 10 +1 6 \\ 2q < 6\\ \frac{2q}{2} < \frac{6}{2} \\ = q < 3[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
If m<22 =122 what is m<5
Answer:
m = -5
Step-by-step explanation:
Step 1 :
Pulling out like terms/ factors
Add 5 to both sides of the equation :
-m = 5
Multiply both sides of the equation by (-1) : m = -5
Hope this helps.
What are the solutions of the equation: x2 – 1 = 15?
x = ± sqrt 14
x = ± sqrt 15
x = ±4
x = ±8
Answer:
x = ± 4
Step-by-step explanation:
Given
x² - 1 = 15 ( add 1 to both sides )
x² = 16 ( take the square root of both sides )
x = ± [tex]\sqrt{16}[/tex] = ± 4
Divide 55 in the ratio 3:2
Answer:
33 and 22
Step-by-step explanation:
total ratio is 5
55÷5 =11 ( ratio 1)
ratio 3 : 11x3 = 33
ratio 2 : 11x2 = 22
hope this helps
Measurements of a circle
Answer:
253 degree is the answer
Read and select the correct answer.
Sesenta ÷ tres =
30
20
10
40
Answer:
20
Step-by-ste
Answer:
20
Step-by-step explanation:
Simplify: 9(1 - r) + 3r
Step-by-step explanation:
9 - 9r + 3r
9 - 6r
For finding the value of r
9 = - 6r
9/ - 6 = r
3 / - 2 = r
What is the measure of angle a?
Answer:
38°
Step-by-step explanation:
Using the Cosine rule in Δ ABC
cos A = [tex]\frac{b^2+c^2-a^2}{2bc}[/tex]
where a, b and c are the sides of the triangle.
Here a = 5, b = 3 and c = 7 , thus
cos A = [tex]\frac{3^2+7^2-5^2}{2(3)(7)}[/tex] = [tex]\frac{9+49-25}{42}[/tex] = [tex]\frac{33}{42}[/tex] , thus
∠ A = [tex]cos^{-1}[/tex] ([tex]\frac{33}{42}[/tex] ) ≈ 38°
Together there are 754 students and teachers in the meeting if the ratio of students to teachers is 27:2 how many teachers are there
Answer:
52 teachers
Step-by-step explanation:
27x+2x=754
29x=754
x=26
2(26)=52
The number of teachers are 52.
What is a word problem?A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
Total number of people = 754
The ratio of students to teachers = 27:2
Let x be the number of people
then,
⇒ [tex]27x+2x=274[/tex]
⇒ [tex]29x=274[/tex]
⇒ [tex]x=\frac{274}{29}[/tex]
⇒ [tex]x=26[/tex]
Thus number of students = [tex]27x[/tex]
⇒ [tex]27(26)=702[/tex]
and number of teachers = [tex]2x[/tex]
⇒ [tex]2(26)=52[/tex]
Hence we can conclude that the number of teachers are 52.
Learn more about word problems here
brainly.com/question/20594903
#SPJ2
The two-way table shows the distribution of book style to genre. Miguel claims that given that the book is paperback (PB) does not affect the outcome that the book is nonfiction (NF).
Answer:
Yes, the two events are independent because P(NF|PB)=P(NF).
Step-by-step explanation:
Si: P(x+2)=2(x+2)^3 + x^2+4x +4 : Calcular P(3)
Answer:
Step-by-step explanation:
4. Kenneth needs to repaint a wall in his bathroom. The wall is 8 feet high and 14 feet long. Part of
the wall is covered with tile and he will not paint that part. The part of the wall covered by tile is 14
feet long and 42 inches high. Which expression could Kenneth use to find the area of the part of the
wall he needs to repaint?
a. 148-(42 + 8)
b. 14 * 8 - (42 * 14)
c. 148 -[(42 +12) * 14]
d. 2(14 + 8) -[(42 +12) + 14]
Answer:
96 * 144 - 168 * 42
Step-by-step explanation:
So the area of the wall is 96 * 144
And the area of the tiled part is 168 * 42
So it would be 96 * 144 - 168 * 42
A farmer sells 6.5 kilograms of pears and apples at the farmer's market. 3/4 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmers market?
Answer:
1.625 kilograms
Step-by-step explanation:
Since total weight of pears and apples is 6.5 kilograms and 3/4 of this weight is pears, the weight of the pears is
→ 6.5 x 3/4 = 4.875 kilograms
Since the weight of the pears is 4.875, we can subtract it from the total weight to find the weight of the apples
→ 6.5 - 4.875 = 1.625 kilograms
Answer:
1.625 kg
Step-by-step explanation:
Total weight sold by the farmer =6.5 kilograms
If 3/4 of the weight is pears:
Weight proportion of apple[tex]=1-\frac{3}{4}= \frac{1}{4}[/tex]
Therefore:
Weight of Apples sold at the market [tex]= \frac{1}{4} X 6.5 kg\\[/tex]
=1.625 kg
The farmer sold 1.625 kilograms of apple.
Given the formula D=qh, solve for q.
Answer:
D/ h =q
Step-by-step explanation:
D = qh
Divide each side by h to isolate q
D/ h = dh/h
D/ h =q
Step-by-step explanation: To solve for q in the equation d = qh, all we have to do is get q by itself on the right side of the equation.
Since q is being multiplied by h, to get q by itself,
we simply divide both sides of the equation by h.
On the right, the h's cancel and we are re left with q.
On the left we have [tex]\frac{d}{h}[/tex].
So our answer is [tex]\frac{d}{h} = q[/tex].
What percent of 145 is 82
Answer:
56.55
Step-by-step explanation:
what is equivalent to (125^2/125^4/3)
Answer:
25
Step-by-step explanation:
Move 125^4/3 to the numerator using the negative exponent rule 1/b^n=b^-n.
125^2 x 125^4/3
Simplify the expression.
5^3(2/3)
Cancel the common factor of 3.
5^2
Raise 5 to the power of 2.
25
Please help me now plz I will mark you brainliest
Answer:
4.41
Step-by-step explanation:
We can use trig to solve for the missing side (specifically cosine). cos(x)=adjacent side/hypotenuse. We have the x value (which is the angle shown) which is 25. We have the adjacent side of that angle which is 4. We are solving for the hypotenuse (lets call that h). When we plug in values into the equation cos(x)=adjacent/hypotenuse, we get cos(25)=4/h. cos 25=0.9063. So 0.9063=4/h. Multiply both sides by h and we get 0.9063h=4. Now divide 0.9063 on both sides to isolate h and we get 4.4135... but since you want hundredths, its 4.41
please help quickly !!!!
Answer:
8.4 * x = 23.94
Step-by-step explanation:
The numbers of gallons times the cost per gallon equals the total cost
8.4 * cost = 23.94
Let x be the cost
8.4 * x = 23.94
Answer:
A... 8.4x=23.94
From that equation, we can solve
what is the answer to the following question.
7/2 times 5 times 7/5
Answer:
24 1/2
Step-by-step explanation:
First multiply 7/2 by 5.
7/2 x 5 = 35/2
Then, multiply 35/2 by 7/5.
35/2 x 7/5 = 245/10
Simplify 245/10.
245/10 = 49/2
Convert to mixed fraction.
49/2 = 24 1/2
Therefore, the simplest form of 7/2 x 5 x 7/5 is 24 and 1/2.
Answer:
[tex]24.5[/tex]
hope this helps
brainliest appreciated
good luck!! have a nice day!
Which is the correct calculation for the volume of the prism? A prism has a length of 6 units, height of 7 units, and width of 4 units. 6 + 7 + 4 = 17 Units cubed 6(4) + 7 = 31 Units cubed 6(4) = 24 Units cubed 6(7)(4) = 168 Units cubed Mark this and return
Answer:[tex]V=168\ units^3[/tex]
Step-by-step explanation:
Given
Length of Prism [tex]l=6\ units[/tex]
Height of prism [tex]h=7\ units[/tex]
width of prism [tex]b=4\ units[/tex]
Now Volume of a prism is given by
[tex]V=l\times b \times h[/tex]
[tex]V=6\times 4\times 7[/tex]
[tex]V=168\ units^3[/tex]
Answer:
The answer is 6(7)(4) = 168 Units cubed
Step-by-step explanation:
Hope this helps :)
A square is made using four rods of equal length joined end to end.
the perimeter of this square is 72 cm. Three of these rods are now joined end to end to make an equilateral triangle.
What is the perimeter of this equilateral triangle
Answer:54 cm
Step-by-step explanation:
Given
Rods are joined to form a square
Perimeter of square is [tex]72\ cm[/tex]
Suppose a is the length of each rod so
Perimeter is [tex]4 a[/tex]
[tex]\therefore 4a=72[/tex]
[tex]\Rightarrow a=\frac{72}{4}[/tex]
[tex]\Rightarrow a=18\ cm[/tex]
Now if rods are joined to form a square then
Perimeter is the sum of sides
Perimeter of (equilateral)triangle[tex]=3a[/tex]
[tex]\Rightarrow =3\times 18[/tex]
[tex]\Rightarrow =54\ cm[/tex]
Can someone please help with this question
Answer:
Option B.
Step-by-step explanation:
The given equation of trend line is
[tex]y=\dfrac{4}{5}x[/tex]
where, x is time in minutes and y is amount of water in gallons.
It is given that the rate (gallons per minute) continues approximately.
We need to find the amount of water flow from the hose in 45 minutes.
Substitute x=45 in the given equation.
[tex]y=\dfrac{4}{5}(45)[/tex]
[tex]y=4\times 9[/tex]
[tex]y=36[/tex]
It means 36 gallons of water from hose in 45 minutes.
Therefore, the correct option is B.
1. Se tiene que 5 kilogramos (kg) de almendra y 4 kg de nuez cuestan $44.00, mientras que 8 kg de almendra y 6 kg de nuez cuestan $69.00. Encuentra el precio por kilogramo de cada producto.
Answer:
x = 6.00 $/kg ----> almond
y = 3.5 $/kg ------> nut
Step-by-step explanation:
To find the price per kg of each product you first write the algebraic equations for the given relations:
x : price per kg of almond
y: price per kg of nut
Then, you have:
5x + 4y = 44.00 (1)
8x + 6y = 69.00 (2)
By using substitution you have from (1):
y = (44.00-5x)/(4) = 11.00 - (5/4)x
you replace this expression for y into (2):
8x+6[11.00-(5/4)x] = 69.00
8x+66.00-(15/2)x = 69.00
8x-(15/2)x = 69.00 - 66.00
(1/2)x = 3.00
x = 6.00 $/kg ----> almond
And for nut:
y = 11.00 - (5/4)x = 11.00 - (5/4)(6.00) = 3.5$/kg
y = 3.5 $/kg ------> nut
The figure shown in the right is made up of a square and a circle. Find the perimeter of the shaded region.
A. 16+2π cm
B. 12+2π cm
C. 12+4π cm
D. 16+4π cm
Answer:
B. 12 + 2pi cm
Step-by-step explanation:
The shaded region is made up of 3 square sides and one half circle. The three square sides are each 4, which means that those altogether equal 12.
The circle's circumference can be found by using the equation c = (d)pi
The diameter is 4, so the whole circumference is 4pi. However, you only need half of a circle, which is represented by 2pi.
Add them all together, and you get 12 + 2pi cm.
Answer: i think B
Step-by-step explanation:
A line has a slope of 3/7. What is the slope of any line parallel to this line?
a) -7/3
b) 0
c) 3/7
d) 7/3
The slope of any line parallel to this line would be c) 3/7.
What are parallel lines?Parallel lines are those lines that are equal distances apart and often of the same length. So, for the given slope where we have parallel lines, we can expect to have lines of the same slope. Thus we can arrive at 3/7.
Note that parallel lines have the same slope. So, since the first slope is 3/7, we can expect the second to be the same thing.
Learn more about parallel lines here:
https://brainly.com/question/24607467
#SPJ2
i need help with this the question is: Josh has 27 signed baseballs. He places the baseballs equally on 3 shelves. How many baseballs are on the shelf. Thanks are helping
Answer:
If Josh had 27 baseballs and has 3 shelves, then if he splits the 27 between 3 he will get 9.
Step-by-step explanation:
27 ÷ 3 = 9
Hope this helps.
QUICK HELP PLS! Q15: A large city has 6 libraries. Each library has at least 1 computer. The median number of computers is 12. The difference between the maximum number of computers and the minimum number of computers is 35. Which statement are true about the number of computers in these libraries? Select each correct answer. A There must be 3 libraries with 12 computers. B A library could have less than 12 computers. C A library could have more than 50 computers. D All libraries must have less than 35 computers. E At least 1 library does bot have 12 computers.
Answer:
B A library could have less than 12 computers.
D All libraries must have less than 35 computers.
E At least 1 library does bot have 12 computers.
PLEASE ANSWER !!!!!!!!!!!
12. Write a function rule in slope-intercept form for the statement: the output is one less than half of the opposite of the input.
Answer:
The function rule is:
[tex]y=-\frac{1}{2} x-1[/tex]
Step-by-step explanation:
We identify the output with the variable "y", the "input with the variable"x". Notice also that the "opposite of the input is "-x" (negative x), and therefore the words "the output is one less than half of the opposite of the input" translate into:
[tex]y=\frac{1}{2} (-x)-1\\y=-\frac{1}{2} x-1[/tex]
A carousel factory has 1252 carousel horses. 48 horse’s are placed on each carousel. How many carousel can the factory build?
Answer: they can build 26 Carousels.
Step-by-step explanation:
Which statements are true?
Select each correct answer.
All squares are rhombuses.
All parallelograms are quadrilaterals.
All rectangles are squares.
All rhombuses are rectangles.
Answer:
the true statement is
All parallelograms are quadrilaterals
Step-by-step explanation:
The answer is that ''All squares are rhombuses'' and ''All parallelograms are quadrilaterals.'' It can't be ''All rectangles are squares.'', because it is not valid. But if it were the other way around it would be correct. It can't be "All rhombuses are rectangles." because it's not valid. Only some can be rectangles.
P.S. Hope this helps!