Answer:
[tex]\Large \boxed{\displaystyle y=\sqrt{\frac{z \cdot w}{x}}}[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{x}{w} =\frac{z}{y^2 }[/tex]
Cross multiplication.
[tex]x \cdot y^2 =z \cdot w[/tex]
Dividing both sides by [tex]x[/tex].
[tex]\displaystyle \frac{x \cdot y^2 }{x} =\frac{z \cdot w}{x}[/tex]
[tex]\displaystyle y^2 =\frac{z \cdot w}{x}[/tex]
Taking the square root of both sides.
[tex]\displaystyle \sqrt{y^2 } =\sqrt{\frac{z \cdot w}{x}}[/tex]
[tex]\displaystyle y=\sqrt{\frac{z \cdot w}{x}}[/tex]
(4p + 5)(p + 1) = 0
Answer:
[tex]4p {}^{2} + 4p \: + 5p + 5[/tex]
[tex] = )4p {}^{2} + 9p + 5[/tex]
[tex] = )4p {}^{2} + (5 + 4)p \: + 5[/tex]
[tex] = )4p {}^{2} + 4p \: + 5p \: + 5[/tex]
[tex] = )4p(p \: + 1) + 5(p \: + 1)[/tex]
p = - 1 , -5/4
Mark as brainliest.
Answer:
[tex]4p {}^{2} + 4p \: + 5p \: + 5[/tex]
=) [tex] = 4p {}^{2} + 9p \: + 5 [/tex][tex] = 4p \: {}^{2} +( 4 + 5) \times p \: + 5[/tex][tex] = 4p {}^{2} + 4p \: + 5p \: + 5[/tex]
[tex] = 4p \times (p + 1) + 5 \times (p + 1)[/tex]
= (4p +5)×(p+1)4p+5 =0 =)4p = -5 =)p = -5/4p +1 =0
=) p = -1
A population of caribou in a forest grows at a rate of 6% every year. If there are currently 258 caribou, which function represents the number of caribou in the forest in t years?
Answer:
P(t) = 258( 1 + 6%)^t
Step-by-step explanation:
Given that the population of caribou in a forest grows at a rate of 6% every year. If there are currently 258 caribou, the function representing the number of caribou in the forest in t years will be
P(t) = 258( 1 + 6%)^t
Since it is increasing, it will be 1 + 6%
Where P(t) is the function representing the population after t years.
258 is the current or initial population.
The coordinates of point 7 are given. The midpoint of ST is (5. - 8). Find the coordinates of point S.
9. T(10, 18)
Answer:
S(0, 2)
Step-by-step explanation:
Midpoint Formula: [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]
Step 1: Plug in known variables
5 = (10 + x)/2
-8 = (18 + y)/2
Step 2: Solve
10 = 10 + x
x = 0
-16 = 18 + y
y = 2
Step 3: Write coordinates
(0, 2)
Please answer 2 and below photo is above and show workthank you
Answer:
18.6
Step-by-step explanation:
Adding -20.4 to 39 is the same as subtracting 20.4 from 39. 39 - 20.4 = 18.6.
Answer:
See each problem number below for answers.
Step-by-step explanation:
To solve this problem, we must remember the rules of addition and subtraction. If we are adding a negative, this is the same thing as subtracting a positive number (because subtraction is defined as the addition of a negative number). In addition, if we are subtracting a negative number, the two negative signs cancel each other out, and we are left with addition of a positive number. Let's use these rules in the problems you have given.
1) 2 - (-73)
Since the subtraction of a negative is the same as addition, we can rewrite this as:
2 + 73
which is a simple computation and leaves us with:
75
2) 39 + (-20.4)
The addition of a negative is the same as subtraction, so we can rewrite this as:
39 - 20.4
which is a simple computation and yields:
18.6
3) 67.086 - (-20)
The subtraction of a negative is the same as addition (similar to problem 1)
67.086 + 20 = 87.086
4) 60 + (-19)
The addition of a negative is the same as subtraction (similar to problem 2)
60 - 19 = 41
5) 87 - 64.05
This is a simple subtraction problem, the computation gives us the answer of:
87 - 64.05 = 22.95
Hope this helps!
0.78 × 30 = ⬜ please helppp
Answer:
23.4
Step-by-step explanation:
because when you multiply 0.78 times 30 you get 23.4
The double number line below shows the price for a certain number of packs of popcorn at a store. Which statement correctly gives and explains the price of 9 packs of popcorn? Two number lines are shown one above the other. The number line on the top is labeled and marked at 2, 4, 6, 8. On the left of this number line is written Packs of Popcorn. The number line below it is labeled and marked at 14, 28, 42, 56. On the left of this number line is written Price of Packs in brackets dollar sign $18, because the price of each pack is $2 $63, because the price of each pack is $7 $108, because the price of each pack is $12 $126, because the price of each pack is $14
Answer: B) $63, because the price of each pack is $7
Step-by-step explanation:
Packs of Popcorn 2 4 6 8
Price of Packs 14 28 42 56
We can see that the rate is constant between each set of numbers in the table.
[tex]\dfrac{price}{packs}:\dfrac{14}{2}=\dfrac{28}{4}=\dfrac{42}{6}=\dfrac{56}{8}=\$7\ \text {per pack}[/tex]
$7 per pack x 9 packs = $63
Answer:
b
Step-by-step explanation:
HELP
Which statement is true?
The diagram represents responses to a survey that
include statements p and g.
The number of responses for which pag is 20.
The number of responses for which pv gis 26.
The number of responses for which pig is 46.
The number of responses for which pv g is 66.
q
46
0
20
Answer:
the third one
Step-by-step explanation:
46 is the common number of p and q
the sign ∩ means the intersections of 2 sets
Check the month and dollar value that that when placed togther would form a correct ordered pair.
In April, Bob's Booksmart had a profit of $2,000. In May, the profit was $3,000 dollars. In June, the profit was $5,000.
what value of x makes the equation true? 3x+21=8x-4
Answer:
x=5
Step-by-step explanation:
3 times 5= 15
15+21= 36
8 times 5 = 40
40-4=36
Translating verbal expression: the sum of 15 and a number x.
Answer:
x+15 or 15+x
Step-by-step explanation:
it doesn't really matter since the commutative property.
sum = addition
15 = one term
number x = second term
put them in order0.25,1/9,6/5
Answer:
1/9 < 0.25 < 6/5
Which are the two most important reasons for continuing education in the healthcare fields?
A. Rapidly increasing medical costs and a competitive job market
B. Technological advancement in new discoveries in health care
C. Job satisfaction in an unstable economy
D. Government requirements and rapid Computerization
Answer:
B. Technological advancement in new discoveries in health care
Hope this helps :)
Answer:
B
Step-by-step explanation:
ed2020
4 Three collinear points on the coordinate plane are R(x, y), S(x + 8h, y + 8k), and
P(+ + 6h,y + 6K)
RP
Part A: Determine the value of
SP
RP
Part B: Determine the value of
Please show the step you took to find the answer
Answer:
RP/SP =3 , RP/RS = 3/4
Step-by-step explanation:
Here is the complete question
Three colinear points on the coordinate plane are R(x,y) S(x+8h, y+8k) and P(x+6h,y+6k) Determine value of RP/SP and RP/RS?
Solution
We first find the length of RS, SP and RP as follows
RS = S(x+8h, y+8k) - R(x,y)
= √[((x + 8h) - x)² + ((y + 8k) - y)²]
= √[x - x + 8h)² + (y - y + 8k)²]
= √[(8h)² + (8k)²] = 8√(h² + k²)
SP = P(x + 6h,y + 6k) - S(x+8h, y+8k)
= √[((x + 6h) - (x + 8h))² + ((y + 6h) - (y + 8k))²]
= √[x - x + 6h - 8h)² + (y - y + 6k - 8k)²]
= √[(-2h)² + (-2k)²] = 2√(h² + k²)
RP = P(x+6h, y+6k) - R(x,y)
= √[((x + 6h) - x)² + ((y + 6k) - y)²]
= √[x - x + 6h)² + (y - y + 6k)²]
= √[(6h)² + (6k)²] = 6√(h² + k²)
So, RP/SP = 6√(h² + k²)/2√(h² + k²)
= 6/2
= 3
RP/RS = 6√(h² + k²)/8√(h² + k²)
= 6/8
= 3/4
Can someone please help?
Answer:
Explanation: The sum of the lengths of any two sides of a triangle must exceed the length of the third side; therefore, 5+7 > x, which cannot happen if x = 13.
what is 700,000 is blank times as much as 700
Answer:
700,000 is 1000 times as much as 700
Step-by-step explanation:
700,000 divided by 700 is 1000
Answer:
The answer wouldn't be 100 but it would be 1000
Hoped I helped
Choose all the fractions that are equivalent to 1/2
Fractions equivalent to 1/2 are 2/4, 3/6, 4/8, 5/10, 6/12, 7/14, 8/16, 9/18/ 10/20, 12/24, 14/28.
Just a couple of them above. Hope all of this helps you out
The fractions that are equivalent to 1/2 are:
2/4, 3/6, 4/8, 5/10, 6/12, 7/14, 8/16, 9/18, 10/20.
The fractions that are equivalent to 1/2 are:
1/2 (itself)
2/4
3/6
4/8
5/10
6/12
7/14
8/16
9/18
10/20
and so on.
These fractions are equivalent to 1/2 because they represent the same value when simplified.
When the numerator and denominator are divided by their greatest common divisor, they result in the simplified fraction of 1/2.
For example, if we simplify 2/4, we divide both the numerator and denominator by 2, resulting in 1/2
Similarly, if we simplify 6/12, we divide both the numerator and denominator by 6, again resulting in 1/2. This pattern holds for all the listed fractions.
Learn more about Equivalent Fraction here:
https://brainly.com/question/29297237
#SPJ6
Area of square = 9 mm2
Perimeter of square=
Answer:
the perimeter of the square is 12 mm
Step-by-step explanation:
each side of the square is 3 mm
A beekeeper has 65,000 female bees and 700 male bees in one colony. A disease kills 25% of the female bees and 14% of the male bees. After the disease hits the colony, the beekeeper decides to sell 12 of the remaining female bees to a friend. How many total bees are left in the beekeeper's colony after the disease and sale? 13,500 bees 13 comma 500 bees 24,375 bees 24 comma 375 bees 24,977 bees 24 comma 977 bees 32,550 bees
Answer:
they will breed again
Step-by-step explanation:
bruh bruh there will be worker bee and drone bee not female or male bee
A. 280 degrees
B. 190 degrees
C. 100 degrees
D. 350 degrees
Answer:
350° is ur answer mate...
(ab? + 13b - 4a) + (3ab² + a +76)
Answer:
ab+13b-3a+3ab^2+76
Step-by-step explanation:
(ab?+13b-4a)+(3ab^2+a+76)
ab+13b-4a+3ab^2+a+76
collect like term
. -4a a
.
.
ab+13b-3a+3ab^2+76
Liz earns a salary of $2,000 per month, plus a commission of 5% of her sales. She wants to earn at least $2,200 this month. Enter an inequality to find amounts of sales that will meet her goal. Identify what your variable represents. Enter the commission rate as a decimal.
Answer:
2000 + .05x >= 2200
Step-by-step explanation:
2000 is how much she already has
.05 is 5% of sales
x is the unknown amount of sales
2200 is how much she needs
The rate is just 5% increase.
PLEASE HELP ME I WILL GIVE BRAINLIEST!! 9 PLEASSSEEEE
Answer:
[tex]\frac{2}{9}[/tex]
Step-by-step explanation:
there is a four out of nine change to get a green marble
there is a 1/2 change to get heads
[tex]\frac{4}{9}[/tex]×[tex]\frac{1}{2} =\frac{2}{9}[/tex]
A man runs 30 meters in one direction, then 25 meters in another direction. how may meters did the man travel in total?
Answer:
55
Step-by-step explanation:
He ran 30 meters in one direction and 25 meters in another.
Therefore, the total distance that he ran is 30 + 25 which is equal to 55 meters.
Pls help ASAP, I will make you brainliest (number 13.)
Answer:
Hey there!
60x=360
x=6
Let me know if this helps :)
Hi there! :)
Answer:
Formula: 60t = 360
Solved: t = 6 hours.
Given:
Speed of car = 60 mph
Total distance = 360 miles
Remember, the formula to solve for time (t) given distance (d) and speed (s) is t = d / s, or t · s = d.
Substitute in the known values, and let "t" represent the time needed:
60 · t = 360
Solve:
60t/60 = 360/60
t = 6 hours.
“find the value of x” please help i know the answer i just don’t know HOW to do it
Answer:
Hey there!
2x+9+103=180
2x+112=180
2x=68
x=34
Let me know if this helps :)
Answer:
34 degrees
Step-by-step explanation:
(2x+9) degrees and 103 degrees form a linear pair
Therfore, the sum of these two angles = 180
(2x+9)+103=180
=>2x+112=180
=>2x=180-112
=>2x=68
=>x=68/2
=>x=34
The value of x is 34 degrees
3 Question 4 (1 point) Binomial (x - 6) and trinomial (-2x2 + x + 9) are the factors of which of the following polynomials? - 2x^3+13x^2+3x-54 2x^2-3 2x^3+12x-3x+54 O-2x^2+15 Question 5 (1 point) Find the area of the shaded region.
Answer:
-2x^3 +13x^2 +3x -54
Step-by-step explanation:
The product is found using the distributive property.
(x -6)(-2x^2 +x +9) = x(-2x^2 +x +9) -6(-2x^2 +x +9)
= -2x^3 +x^2 +9x +12x^2 -6x -54
= -2x^3 +13x^2 +3x -54
find the value of
a if 3x+ay=6
Answer:
[tex]\huge\boxed{\sf a = \frac{6-3x}{y} }[/tex]
Step-by-step explanation:
3x + ay = 6
Subtracting 3x to both sides
ay = 6 - 3x
Dividing both sides by y
[tex]\sf a = \frac{6-3x}{y}[/tex]
(-4,-3) and (2,5)
to draw a line Click a senment to
Answer:
This is a graph problem
Step-by-step explanation:
on a ten by ten graph this is the included file
(sorry for my bad lines, i had to do this with a mouse0
Answer:
see the attachment for a graph
Step-by-step explanation:
We can't tell what your instructions are. Many graphing tools will let you click on the locations of the points, then draw a line through them. The attached image is from one such tool.
__
If you want to plot this by hand, you do it essentially the same way: plot the two points and draw a line through them.
If you want to write an equation for the line, you can start with the 2-point form:
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (5 -(-3))/(2 -(-4))(x -(-4)) -3
y = 8/6(x +4) -3
y = 4/3x +16/3 -9/3
y = 4/3x +7/3
__
Personally, about the only thing useful I find in this equation is that it tells you the slope is 4/3. You can determine the same thing by counting grid squares between the plotted points on the graph. The line goes up 8 for each 6 to the right, so slope = rise/run = 8/6 = 4/3.
If r and s are positive integers, is \small \frac{r}{s} an integer? (1) Every factor of s is also a factor of r. (2) Every prime factor of s is also a prime factor of r.
Answer:
If statement(1) holds true, it is correct that [tex]\small \frac{r}{s}[/tex] is an integer.
If statement(2) holds true, it is not necessarily correct that [tex]\small \frac{r}{s}[/tex] is an integer.
Step-by-step explanation:
Given two positive integers [tex]r[/tex] and [tex]s[/tex].
To check whether [tex]\small \frac{r}{s}[/tex] is an integer:
Condition (1):
Every factor of [tex]s[/tex] is also a factor of [tex]r[/tex].
[tex]r \geq s[/tex]
Let us consider an example:
[tex]s = 5^2 \cdot 2\\r = 5^3 \cdot 2^2[/tex]
[tex]\dfrac{r}{s} = \dfrac{5^3\cdot2^2}{5^2\cdot2} = 10[/tex]
which is an integer.
Actually, in this situation [tex]s[/tex] is a factor of [tex]r[/tex].
Condition 2:
Every prime factor of s is also a prime factor of r.
(But the powers of prime factors need not be equal as we are not given the conditions related to powers of prime factors.)
Let
[tex]r = 2^2\cdot 5\\s =2^4\cdot 5[/tex]
[tex]\dfrac{r}{s} = \dfrac{2^3\cdot5}{2^4\cdot5} = \dfrac{1}{2}[/tex]
which is not an integer.
So, the answer is:
If statement(1) holds true, it is correct that [tex]\small \frac{r}{s}[/tex] is an integer.
If statement(2) holds true, it is not necessarily correct that [tex]\small \frac{r}{s}[/tex] is an integer.
the sum of 2 numbers is 16, and the sum of their squares is 146. find the 2 numbers
Step-by-step explanation:
x + y = 16 (*)
x^2 + y^2 = 146 (**)
(*) <=> x= 16-y
substitute x = 16 - y
(**) <=> (16-y)^2 + y^2 = 146
<=> y^2 - 2.16.y + 16^2 + y^2 = 146
<=> 2y^2 - 32y + 110 = 0
<=> y^2 - 16y + 55 = 0
<=> (y-11)(y-5) = 0
<=> y=11 or y= 5
For y = 11, we have x= 16-11=5
For y=5, we have x= 16-5=11
Answer: (x,y) = (11,5) ; (5,11)