Answer:
x = 21
Step-by-step explanation:
5x = (90 + 15)
5x = 105
x = 21
Amy wants to find out if the temperature of water affects plant growth. She will water 6 plants with hot water, 6 plants with lukewarm water, 6 plants with water from the faucet, and 6 plants with ice water.
What is the independent variable?
Answer:
Temperature of the water
Step-by-step explanation:
In every study, there must be a dependent variable and an independent variable. The effect of the independent variable on the dependent variable is monitored by carefully manipulating the independent variable and observing the response it produces on the dependent variable.
In this study, the independent variable is the temperature of the water while the dependent variable is plant growth. The various temperatures of the water used to water the plant will after its growth.
Darren has 84 DIMES and 144 PENNIES in his piggy bank.
Eugene has 63 DIMES
and 112 PENNIES in his piggy bank.
Who has the higher ratio of DIMES TO PENNIES in their piggy bank?
Answer:
Step-by-step explanation:
Darren has 84 DIMES and 144 PENNIES:
the ratio of dimes to penny=84/144=7/12
12 is GCF : 84/12=7, 144/12=12
Eugene has 63 DIMES and 112 PENNIES :
the ratio is 63/112=9/16
GCF of (63 and 112) is 7 : 63/7=9 , 112/7=16
7/12 = 0.58333 9/16=0.5625
7/12 is higher than 9/16
Darren has the higher ratio of DIMES TO PENNIES in his piggy bank
this can be solved by finding the percentage 7/12=0.5833=58.3% and 9/16=0.5625 which is 56.25%
If f and g are differentiable functions for all real values of x such that f(2) = 5, g(2) = 3, f '(2) = 1, g '(2) = -2, then find h '(2) if h(x) = f(x) g(x).
Answer:
[tex]h'(2)=-7[/tex]
Step-by-step explanation:
So we have:
[tex]h(x)=f(x)g(x)[/tex]
Differentiate. Use the product rule:
[tex]h'(x)=f'(x)g(x)+f(x)g'(x)[/tex]
Substitute 2 for x:
[tex]h'(2)=f'(2)g(2)+f(2)g'(2)[/tex]
We know that f'(2) is 1, f(2) is 5, g(2) is 3, and g'(2) is -2. Make the appropriate substitutions:
[tex]h'(2)=(1)(3)+(5)(-2)[/tex]
Simplify:
[tex]h'(2)=3-10[/tex]
Subtract:
[tex]h'(2)=-7[/tex]
An 8-cup carton of milk costs $2.00. What is the price per pint?
Answer:
$0.50 per pint
Step-by-step explanation:
First, we need to convert cups to pints.
There are 2 cups in 1 pint. We are given 8 cups, which is 4 times 2. So, we multiply 1 pint by 4:
1 * 4 = 4 pints
There are 4 pints in 8 cups.
We also know that 8 cups cost $2, which also means that 4 pints cost $2.
To find the cost per pint, we divide 2 by 4:
2 / 4 = $0.50
Thus, the price is $0.50 per pint.
~ an aesthetics lover
Answer:50 cents per pint
Step-by-step explanation:
8 cups=4 pints 2.00 ÷ 4 = .50
2a-5b+2c-9 from 3a-4b-c+6
Please solve it thank you
Answer:
a +b -3c +15
Step-by-step explanation:
Write the subtraction you want to perform, use the distributive property, collect terms:
(3a-4b-c+6) -(2a-5b+2c-9)
= 3a -4b -c +6 -2a +5b -2c +9 . . . . . . distribute the minus sign
= a(3-2) +b(-4+5) +c(-1-2) +(6+9) . . . . find and group like terms
= a +b -3c +15
Answer:
a - b -3c + 15
Step-by-step explanation:
7m + 3mn when m = 8 and n = 14
Answer:
392
Step-by-step explanation:
m = 8 and n = 14
Substituting the values of m and n in the question, we get :
7m + 3mn
=( 7 x 8) +(3 x 8 x 14)
= 56 + 336
= 392
Answer:
356
Step-by-step explanation:
7x8+56
3x8=24
24x14=336
Add everything up
Sophia can wash 99 cars in 9 days.How many cars can Sophia wash per day?
Answer: Hi!
Here we're trying to find something called a unit rate. To find the unit rate in this situation, we have to divide the amount of cars by the amount of days:
99 ÷ 9 = 11
Sophia can wash 11 cars in one day.
Hope this helps!
Answer:
[tex]\Huge \boxed{\mathrm{11}}[/tex]
Step-by-step explanation:
She can wash 99 cars in 9 days.
Divide number of cars by number of days.
99 cars / 9 days ⇒ 11 cars/day ⇒ 11 cars per day.
PLEASE HELP!! I WILL GIVE BRIANLIEST!!!
Look at the graph:
What is the relationship between x and y?
A: y and x stay constant
B: y increases as x increases
C: y decreases as c increases
D: y stays constant as x increases
Answer:
C: y decreases as x increases
Step-by-step explanation:
Notice from this graph, as we move from left to right, the y values are decreasing while the x values are increasing.
This means that the relationship of the line in terms of x and y can be described as, as y decreases, x increase. Hence you will choose option C.
You can validate this by choosing to definitive points on the line, say the origin (0,0) and (2, -6). Notice that our x value increased, but our y value decreased.
Cheers.
The two squares in the graph below are similar. Which sequence of transformations proves that the squares are similar?
A translation 6 units left and 5 units down followed by a dilation with scale factor 5
A translation 5 units left and 6 units down followed by a dilation with scale factor 5
A translation 6 units left and 5 units down followed by a dilation with scale factor
A translation 5 units left and 6 units down followed by a dilation with scale factor
Answer:
B
Step-by-step explanation:
Choose the correct simplification of the expression (xyz234
O a
x5y5z6
Ob
x5y5z8
ос
Xyz16
od
x4y428
Step-by-step explanation:
In my opinion Option D is the correct answer
The correct simplification of the expression (xyz²)⁴ is (x)⁴y⁴z⁸
Simplification of exponential expressionsGiven the exponential expression
(xyz²)⁴
Expand the expression
(x)⁴y⁴(z²)⁴
According to the indices rule:
(xyz²)⁴ = (x)⁴y⁴z⁸
Hence the correct simplification of the expression (xyz²)⁴ is (x)⁴y⁴z⁸
Learn more on indices here: https://brainly.com/question/10339517
i)
[tex]3 \sqrt{3} \times \sqrt{3} [/tex]
Answer:
9Step-by-step explanation:
[tex]3\sqrt{3}\times\sqrt{3}\\\mathrm{Apply\:radical\:rule}:\quad \sqrt{a}\sqrt{a}=a\\\\\sqrt{3}\sqrt{3}=3\\\\=3\times\:3\\\\=9[/tex]
What’s the value of X In this????
Answer:
x = 68 degrees
Step-by-step explanation:
Step 1: We know this is a isosceles triangle
Since we know it is a isosceles triangle it has 2 of the same angle so the unknown side(not x) is 59
Step 2: Use the 2 angles to find 'x'
Angles in a triangle add up to 180 so we subtract 59 x 2 from 180 to get 68
Therefore angle x is 68 degrees
Answer:
X = 68Step-by-step explanation:
This is because u have to do the math - LOL
1. What do you haveSo
- an isosceles has 2 same sides. The pic shows an isosceles triangle
- 2 sides are the same which is 4
- 1 side is different and is 1.5
2. Steps to solveSame length = Same angles
So
- 4 = 4
- 56 = 56
3. Finding the angle.Total angle - angle 1 - angle 2 = angle 3 or ?
- Total angle = 180
- Angle 1 = 56
- Angle 2 = 56
- Angle 3 = ?
180 - 56 - 56 = 68
Hope this helped,
Kavitha
determine whether each equation is the equation of a line parallel line, perpendicular to the given line explain your reasoning y=-2/3x +2
Which of the following circumstances would likely make factoring the best method for solving a quadratic equation?
A.The leading coefficient is zero
B.The difference of 2 perfect squares
C.A quadratic that is prime
D.The leading coefficient is not 1 and the constant is a large number
Answer:
The correct option is;
B. The difference of 2 perfect squares
Step-by-step explanation:
Solving a quadratic equation using factoring involves finding the factors of the equation that would yield the result of the quadratic equation
In order to find the roots of the quadratic equation, then the result of the factoring must be equal to zero, in which case, the constant terms in the factors are the solutions of the quadratic equation in opposite sign.
For example, we have;
x² - 5² = 11
We subtract 11 from both sides to get;
x² - 5² - 11 = 11 - 11
x² - 36 = 0
x² - 6² = 0
(x - 6) × (x + 6) = 0
Therefore, x = 6 or -6 which are the opposite sign of the constant terms in the factor.
Find the volume of a cube that has the following dimensions:length=2x^2 width=x^3 height=x^2-6x+5 A) 4x^7-3x^6+8x^5 B) 2x^12-12x^7+10x^6 C) 2x^7+12x^6+10x^5 D) 2x^7-12x^6+10x^5
Answer:
Option D. 2x⁷ - 12x⁶ + 10x⁵
Step-by-step explanation:
From the question given:
Length (L) = 2x²
Width (w) = x³
Height (h) = x² - 6x + 5
Volume (V) =?
Volume (V) = length (L) x width (w) x height (h)
V = L x w x h
V = 2x² × x³ × x² - 6x + 5
V = (2x²) (x³) (x² - 6x + 5)
V = (2x⁵) (x² - 6x + 5)
Clear bracket
V = 2x⁷ - 12x⁶ + 10x⁵
Therefore, the volume of the cube is 2x⁷ - 12x⁶ + 10x⁵
Find the distance between -0.5 and 1.5
Answer:
2.0
Step-by-step explanation:
Subtract the smaller number from the larger to find their difference:
1.5 -(-0.5) = 2.0
The distance between the given values is 2.0.
27 POINTS
What is the value of x in the figure below? In this diagram, AABD - ACAD.
Greetings from Brasil...
Here, just apply the Metric Relationships to the Rectangle Triangle
AB² = BC · BD
10² = 16 · X
16X = 100
X = 100/16
simplify
100 ÷ 4 = 25
16 ÷ 4 = 4
X = 25/4
X = 6.25In triangles ABD and CAD, The value of x in the figure is,
⇒ x = 25 / 4
What is mean by Triangle?Triangle is a three sided polygon, that has three vertices and three angles which has the sum 180 degrees, is called a triangle.
We have to given that;
Two triangles ABD and CAD are similar.
⇒ Δ ABD ≈ Δ CAD
Hence, We can Just apply the Metric Relationships to the Rectangle Triangle as;
⇒ AB² = BC · BD
Substitute all the values , we get;
⇒ 10² = 16 × x
⇒ 16x = 100
Divide by 16 both side, we get;
⇒ x = 100/16
⇒ x = 25/4
Therefore, In triangles ABD and CAD,
We get;
The value of x in the figure is,
⇒ x = 25 / 4
Learn more about the triangle visit;
brainly.com/question/1058720
#SPJ7
This is for algebra 2 can someone tell me if I’m right and can someone explain how do you get a= ?
Answers:
a = 2
h = 3
k = -3
You have the correct h and k values. Nice work so far.
==========================================================
Explanation:
(h,k) is the vertex. So (h,k) = (3,-3) meaning h = 3 and k = -3
To get the value of 'a', we need to plug in some point on the red graph. Each point is of the form (x,y). We can pick any point we want that isn't the vertex.
Let's pick (0,3) which is the y intercept. I'm picking this because 0 is an easy number to work with
------------
y = a|x-h| + k
y = a|x-3| + (-3) .... plug in the h,k values
y = a|x-3| - 3
3 = a|0-3| - 3 .... plug in (x,y) = (0,3)
3 = a|-3| - 3
3 = a*3 - 3
3 = 3a - 3
3a-3 = 3
3a = 3+3 ... adding 3 to both sides
3a = 6
a = 6/3 ... divide both sides by 3
a = 2
The value a = 2 indicates that the parent function y = |x| has been stretched vertically by a factor of 2. So it is twice as tall as before. Then it has been shifted to place the vertex at (3,-3) as shown in the graph.
------------
You may be wondering why you can't pick on the vertex for (x,y)
Let's see what happens if we use (x,y) = (3,-3)
y = a|x-3| - 3
-3 = a|3-3| - 3 ... plug in (x,y) = (3,-3)
-3 = a|0| - 3 ... uh oh, we get 0 here
-3 = a*0 - 3
-3 = 0 - 3
-3 = -3
We get a true statement, which is nice, but it doesn't tell us anything about what the value of 'a' is. That 'a' term goes away entirely. So I avoided using x = 3 to prevent x-3 from being 0.
what is the value of largest integers x such that 112/2^x is an integer.
Answer:
x = 4
Step-by-step explanation:
16 × 7 = 112
2^4 = 16
so that is the answer
use the graph to write an equation of the line
Answer:
y=1/5x
Step-by-step explanation:
y=mx+c
find m
m = rise/run
m = 2/10
= 1/5
find c , sub in a co-ordinate (10,2)
2 = 10/5 + c
2 = 2 + c
c = 0
Please help ASAP 100 points on please
Answer:
See below.
Step-by-step explanation:
A line can be named using a single small-case letter, or it can be named using any two points on the line in either order.
3.
You have 2 choices. Choose h or
[tex] \overleftrightarrow{CA} [/tex]
4. You have five choices. Choose one of these.
[tex] \overleftrightarrow{HG}, \overleftrightarrow{GJ}, \overleftrightarrow{JG} [/tex]
[tex] \overleftrightarrow{JH}, \overleftrightarrow{HJ} [/tex]
Answer:
A line can be named using a single small-case letter, or it can be named using any two points on the line in either order.
3.
You have 2 choices. Choose h or
4. You have five choices. Choose one of these.
Step-by-step explanation:
4/7a-2/3a pllllllllllllllllllllllllllllllllllls help
Answer:
[tex]-\frac{2}{21}[/tex]
Step-by-step explanation:
Step 1: Have a common denominator
[tex]\frac{12}{21}a -\frac{14}{21}a\\[/tex]
Step 2: Subtract to get answer
[tex]\frac{12}{21}a -\frac{14}{21}a = \frac{-2}{21}a[/tex]
Therefore the answer is [tex]\frac{-2}{21}a[/tex]
Answer:
-2/21a
Step-by-step explanation:
The common number for this two denominator, 7 and 3, is 21.
21/7=3, so you multiply 3 with the numerator 4. giving 12/21a.
You do the same you -2/3a, and you end up getting the equation of:
12/21a-14/21a=-2/21a.
Hope this helps, have a nice day!
Select the domain and range of F.
F = {(x, y) 1 x+y= 10).
A.Set F is not a function and does not contain a domain or range
B.Domain: (10) Range: (10)
C.Domain: All Real Numbers Range: All Real Numbers
Answer:
b
Step-by-step explanation:
given the equation p=2n-3 , what is p when =3
Answer:
3
Step-by-step explanation:
Hello!
It is asking for the answer is p is equal to 3 so we put 3 in for p
3 = 2n - 3
Add 3 to both sides
6 = 2n
Divide both sides by 2
3 = n
The answer is 3
Hope this helps!
Answer:
n = 3
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation:
*3-(2*n-3)=0
Pull out like factors:
*6 - 2n = -2 • (n - 3)
Solve:
*-2 = 0 (This has no equation so we solve for the next side.)
*n-3 = 0 (Add 3 to both sides)
write the reaction of sodium hydroxide with hydrochloric acid in words and symbols
8. 10 ÷ 5 + 10 – 9 x 11 has to show work
Answer:
-87Step-by-step explanation:
(10 ÷ 5) + 10 – (9 x 11)
=(2) + 10 - (99)
=2 +10 - 99
= -87
[tex]hope \: this \: helps[/tex]
There's "8. '' In the first, is this also included? Or it's the number of the expression?
Quotient of 8 decreased by 2 times t and 3
Answer:
[tex] Quotient = \frac{8 - 2t}{3} [/tex]
Step-by-step explanation:
Quotient, in maths, is what you get when two number or expressions together. That is, dividend over the divisor.
Thus, from what we're given:
dividend is 8 decreased by 2 times t, which can be expressed as [tex] 8 - 2*t = 8 - 2t [/tex].
The divisor is 3.
[tex] Quotient = \frac{8 - 2t}{3} [/tex]
Solve 13u2+23u=−112 by using the quadratic formula. Give an exact answer and simplify any fractions. If there are multiple answers, list them separated by a comma, e.g. 1,2. If there is no solution, enter ∅.
Note: this is assuming you haven't reached complex numbers yet
=============================================================
Explanation:
The given equation 13u^2+23u = -112 is the same as 13x^2+23x = -112
and we can add 112 to both sides getting 13x^2+23x+112 = 0
We see the equation is in the form ax^2+bx+c = 0
The discriminant is
D = b^2 - 4ac
D = 23^2 - 4(13)(112)
D = -5295
The negative discriminant means there are no real number solutions.
-----------
Extra info:
If D = 0, then there would be exactly one real number solution.
If D > 0, then there would be two distinct real number solutions.
Answer:
it is complex solution
no real number solution
Step-by-step explanation:
13u²+23u=-112
13u²+23u+112=0
a=13, b=23 , c=+112
u= (-b±√(b²-4ac))/2a
u=[(-23±√(23)²-4(13)(112)]/2(13)
u=(-23±√-5295)/26
u=(-23±i√5295)/26
How many solutions does the following equation have?
3(y+9)=12y+133(y+9)=12y+133, left parenthesis, y, plus, 9, right parenthesis, equals, 12, y, plus, 13
Choose 1 answer:
Choose 1 answer:
Answer:
One solution.
Step-by-step explanation:
Given that the equation is:
[tex]3(y+9)=12y+13[/tex]
To find:
The number of solutions of the given equation = ?
Solution:
First of all, let us learn a concept for number of solutions of a polynomial.
Number of solutions of a polynomial is equal to its degree.
Degree means the highest power of the variable.
Here, the variable is [tex]y[/tex] and it is observable that the highest power of
Therefore, only one solution will be there for the given equation.
Solving the equation:
[tex]3(y+9)=12y+13\\\Rightarrow 3y+27=12y+13\\\Rightarrow 12y-3y=27-13\\\Rightarrow 9y =14\\\Rightarrow \bold{y = \dfrac{14}{9}}[/tex]
The one solution is [tex]\bold{y=\frac{14}{9}}[/tex].
Hence, only one solution.
Hey There Answer One Solutions
Step-by-step explanation:
Peter wants to buy a coat that costs $87 at full price.The coat is now on sale for 40% off
Part A: Explain how Peter can use the fact that 10% of $87 is $8.70 to find the amount he will save on the coat
Part B: Use the same method to find the amount Peter would save on a $64 coat that is on sale for 40% off
Step-by-step explanation:
Hello!
Part A
Peter can use the fact that 10% of 87 is 8.70 to find the amount he would save because 40% is just 4 times bigger than 10% so he can take 8.70 from to total of the coat 4 times to find out how much it cost.
Part B
Using the same method we know that 10% of 64 is 6.40 so we subtract that from the price of the coat 4 times to find out how much it cost
64 - 6.40 = 57.6
57.6 - 6.40 = 51.2
51.2 - 6.40 = 44.8
44.8 - 6.40 - 38.4
The price of the coat is $38.4
Hope this helps!