Answer:
Greta is correct. The answer is y = 4x
Step-by-step explanation:
This is because one person is able to plant four trees and five people are able to plant 20 in the same amount of time which means 4 trees is to 1 person. In other words if you substitute the values into the equation you will see that x = 1 in the first scenario and x = 5 in second scenario.I will work out the second scenario below.
y = 4x (where y = 20)
20 = 4(x)
[tex]\frac{20}{4} = \frac{4x}{4}[/tex]
5 = x
OR
y = 4x (where x = 5)
y = 4 * 5
y = 20
The equation which represents the number of trees planted y for the x number of people will be y = 4x thus Greta will be right.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
An equation is a set of variables that are constrained through a situation or case.
As per the given,
1 person plants 4 trees.
x = 1 and y = 4
y/x = 4
5 people plant 20 trees
x = 5 and y = 20
y/x = 20/5 = 4
y = 4x
Thus, y = 4x will be correct.
Hence "The equation which represents the number of trees planted y for the x number of people will be y = 4x thus Greta will be right".
For more about the equation,
https://brainly.com/question/10413253
#SPJ5
Mo is wrapping a gift in a rectangular box for his mother. What is the surface area of the box Mo needs to wrap?
Answer:
The perimeter of the rectangular box.
Step-by-step explanation:
What are the first three terms of the sequence defined by the recursive function an=an-1-(an-2-4), when a5=-2 and a6=0
Answer:
6, 10, 8
Step-by-step explanation:
aₙ= aₙ₋₁ - (aₙ₋₂ - 4)= aₙ₋₁ - aₙ₋₂ + 4
a₅= -2
a₆= 0
-----------
aₙ₋₂= aₙ₋₁ - aₙ + 4
a₄= a₅- a₆ + 4 = -2 - 0 + 4 = 2a₃= a₄ - a₅ + 4 = 2 - (-2) + 4 = 8a₂= a₃ - a₄ + 4 = 8 - 2 + 4 = 10a₁= a₂ - a₃ + 4 = 10 - 8 + 4 = 6The first 3 terms: 6, 10 and 8
On a coordinate plane, a solid straight line has a positive slope and goes through (negative 4, 1) and (0, 3). Everything below and to the right of the line is shaded. Which linear inequality is represented by the graph? y ≤ 2x + 4 y ≤ one-halfx + 3 y ≥ One-halfx + 3 y ≥ 2x + 3
Answer: [tex]y \leq \frac{1}{2} x+3[/tex]
Step-by-step explanation:
If a function has a positive slope, that means the y value is increasing with respect to x. As you go down the x-axis, the y value will continuously increase.
First you want to plot the two sets of coords that they gave you, or else you wont know what the line looks like. Or, you could visually do it in your head. We're going down -4 on the x-axis and down 1 on the y-axis. Then for our second coords, we are going to 0 on the x-axis, then up 3 on the y-axis.
You could plot this for yourself, but im going to do it in my head for simplicity. We also need to find the slope of this function in order for us to find the y-intercept. The slope is change in y divided by the change in x. Subtract the initial position from the final position.
3 - 1 = 2
0 - (-4) = 4
2/4 = 1/2
The new equation is:
[tex]y=\frac{1}{2} x+b\\plugin(0,3)\\3=\frac{1}{2} (0)+b\\b=3[/tex]
Everything is shaded below and to the right of the line. They said the line was solid, so that means less than or equal to, [tex]\leq[/tex]
Answer:
B
Step-by-step explanation:
how do you write 25 x 10^6 in standard form
Answer:
2.5*10^7
Step-by-step explanation:
Answer:
Brainliest!!!
Step-by-step explanation:
See picture
Which of the following lengths can not be the lengths of the sides of a triangle? A.) 4,6,9 B.) 3,4,2 C.) 2,2,3 D.) 1,1,2
Answer:
D
Step-by-step explanation:
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
4 + 6 > 9
Yes, these lengths can form a triangle.
3 + 4 > 2
Yes, these lengths can form a triangle.
2 + 2 > 3
Yes, these lengths can form a triangle.
1 + 1 = 2
No, these lengths cannot form a triangle.
Answer:
D
Step-by-step explanation:
the formula is
a + b > c
a+ c > b
b+ c > a
The answer is D because
given lenght(D answer) A=1 , B=1, C=2
Thus, follow the formula.
a+b>c
1+1>2 ❌
a+c>b
1+2>1 ✅
b+c>a
1+2>1 ✅
we know that a+b>c is wrong, so, it cant form a triangle
Evaluate (a + b)2 for a = 2 and b = 3.
10
25
13
Answer:
10
Step-by-step explanation:
( 2 + 3 ) × 2
5 × 2 = 10
Answer:
10
Step-by-step explanation:
(a+b)2
(2+3)2
5(2)
10
HELP ME!!! y is inversely proportional to square of x. Given that y=3 when x=7, find the value of x when y=18.375 TYSM!
Answer:
The value of x is -2√2 or 2√2.
Step-by-step explanation:
Given that y is inversely proportion to x², y ∝ 1/x². So the formula will be y = k/x² where k is the constant. In order, to find the value of k, you have to substitute the values of x and y into the formula :
[tex]y = \frac{k}{ {x}^{2} } [/tex]
[tex]let \: x = 7 \\ let \: y = 3[/tex]
[tex]3 = \frac{k}{ {7}^{2} } [/tex]
[tex]3 = \frac{k}{49} [/tex]
[tex]3 \times 49 = k[/tex]
[tex]k = 147[/tex]
[tex]y = \frac{147}{ {x}^{2} } [/tex]
Next, you have to substitute the y value into the equation to find x :
[tex]let \: y = 18.375[/tex]
[tex]18.375 = \frac{147}{ {x}^{2} } [/tex]
[tex]18.375 {x}^{2} = 147[/tex]
[tex] {x}^{2} = \frac{147}{18.375} [/tex]
[tex] {x}^{2} = 8[/tex]
[tex]x = ± \sqrt{8} [/tex]
[tex]x = - 2 \sqrt{2} \: \: or \: \: 2 \sqrt{2} [/tex]
Triangle D E F is shown. Angle F D E is a right angle. The length of D E is 40, the length of D F is 9, and the length of hypotenuse F E is 41. Given right triangle DEF, what is the value of tan(F)? StartFraction 9 Over 41 EndFraction StartFraction 40 Over 41 EndFraction StartFraction 40 Over 9 EndFraction StartFraction 41 Over 9 EndFraction
Answer:
The correct option is (3) 40/9.
Step-by-step explanation:
Consider the right angled triangle attached below.
The angle FDE is the right angle.
Using the trigonometric identities for right angled triangles compute the tangent of the measure of angle DFE as follows:
tan (DFE) = DE/DF
= 40/9
Thus, the correct option is (3) 40/9.
Answer:
C. 40/9
Step-by-step explanation:
Which equation is represented by the graph below? y=ln x y=ln x+1 y=e^x y=e^x+1
Answer:
y = e^x
Step-by-step explanation:
The fastest way to do this is to use a graphing calc or an online graphing platform and check to see which graph matches the one given.
The graph of the exponential function approaches zero as the value of x approaches negative infinity. Then the correct option is C.
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The graph of the logarithm function approaches the infinity as the value of x approaches zero. So the given graph can not be a logarithm graph.
The graph of the exponential function approaches zero as the value of x approaches negative infinity. And at x = 0, the value of the function is 1.
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ2
How many terms are in the expression 5m2 - mn + 4n + 7?
Simplify 11(2x + 3).
Answer:
4 terms
22x+33
Step-by-step explanation:
1. You count 1, 2, 3, 4 because there are no like terms to combine
2. you can use the distributive property to multiply the terms
(2x times 11) plus (3 times 11)
Answer:
4 terms; 22x + 33
Step-by-step explanation:
5m2 - mn + 4n + 7:Expressions are made out of terms. A term can be a number, a variable, or a mixture of them. They are either added or subtracted.
In 5m2 - mn + 4n + 7, the terms are:
5m2mn4n7There should be 4 terms in the expression.
11(2x+3):[tex]11(2x+3)\\\text{Distribute.}\\\\11*2x=22x\\11*3=33\\\\11(2x+3)=\boxed{22x+33}[/tex]
∆ABC and ∆PQR are similar. ∆ABC is dilated by a scale factor of 1.25 and rotated 45° counterclockwise about point B to form ∆PQR. The side lengths of ∆ABC are , 5 units; , 4.2 units; and , 4 units. Match each side of ∆PQR to its length.
Answer:
[tex]6.25\ units,\ 5.25 \ units\ and\ 5 \ units[/tex]
Step-by-step explanation:
Given:
The scale factor = 1.25 and rotated =45°
Length of side =5 units; , 4.2 units; and , 4 units respectively.
As mention in the question the ∆ABC and ∆PQR are similar it means there sides are equal .
Therefore sides of the ∆ PQR is
[tex]= (5*1.25),(4.2*1.25),(4*1.25)\\=6.25, 5.25, 5[/tex]
Hence the length of the ∆PQR is [tex]6.25\ units,\ 5.25 \ units\ and\ 5 \ units[/tex]
Jacob is asked to simplify the expression-3a+4b+5a+(-7b) -3a+4b+5a+(-7b) = -3a+5a+4b+(-7b) which property is this ?
Answer:
B
Step-by-step explanation:Communative property.
Which of the following choices are equivalent to the expression below ? √-27
Answer:
E. 3i√3
Step-by-step explanation:
√-27 is √27 times √-1
√-1 is i, so i√27
√27 = 3√3, and then we have:
3i√3 as our answer
A wedding ring costs £13000. Work out the price after a 11% price increase.
Answer:
£ 14,430
Step-by-step explanation:
Costing Price = £13,000
Increase = 11% of 13000
=> 11/100 × 13000
=> 11 × 130
=> £ 1430
Increased Price = 13,000+1430
=> £ 14,430
a^2-b^2+4b-4 please solve it step by step i will mark you brainlest
Answer:
b = a + 2 or b = 2 - a
Step-by-step explanation:
Solve for b:
-4 + a^2 + 4 b - b^2 = 0
The left hand side factors into a product with two terms:
(2 + a - b) (-2 + a + b) = 0
Split into two equations:
2 + a - b = 0 or -2 + a + b = 0
Subtract a + 2 from both sides:
-b = -a - 2 or -2 + a + b = 0
Multiply both sides by -1:
b = a + 2 or -2 + a + b = 0
Subtract a - 2 from both sides:
Answer:
b = a + 2 or b = 2 - a
Solve for n.
11(n-1) + 35 = 3n
on=3
Answer:
n=-3solution,
[tex]11(n - 1) + 35 = 3n \\ or \: 11n - 11 + 35 = 3n \\ or \: 11n + 24 = 3n \\ or \: 11n - 3n = - 24 \\ or \: 8n = - 24 \\ or \: n = \frac{ - 24}{8} \\ n = - 3[/tex]
Hope this helps...
Good luck on your assignment..
Answer:
N= -3
Step-by-step explanation:
It makes sense
Write down in terms of n, an expression for the nth term
of the following sequences:
a) 4 1 -2-5-8
b) -7 -12 -17 -22 -27
Answer:
a: -3n+1
b:-5n-2
Step-by-step explanation:
a: it is -3+1 because you can see that the sequence is going down by 3, so it is the 3 times table, but because the number is 4, and 4 is 1 more than 3, you put plus one at the end. :)
b: similar to the last, it's going down by five, but it is two less this time, so you put minus two instead.
Hope this helps :),
Lily
What 7÷56+3 I'm boreeeddxxxxxxxxx
Answer:
The answer is 3.125.
Answer:
It's 3.125
Step-by-step explanation:
Hope this help lol
Multiply the polynomial (12x^4 - 4x^3 + 5) by (-4x^2) *
0 -16x^6 + 8x^5 + 9x12
048x^6 - 16x^6 + 20x^2
048x^6 + 16x^5 + 20x^2
0 -48x^6 + 16x^5 - 20x^2
Answer:
[tex] - 48 {x}^{6} + 16 {x}^{5} - 20 {x}^{2} [/tex]
Option D is the correct option.
Solution,
[tex] - 4 {x}^{2} (12 {x}^{4} - 4 {x}^{3} + 5) \\ = - 4 {x}^{2} \times 12 {x}^{4} + 4 {x}^{2} \times 4 {x}^{3} - 4 {x}^{2} \times 5 \\ = - 48 {x}^{6} + 16 {x}^{5} - 20 {x}^{2} [/tex]
hope this helps...
Good luck on your assignment...
The solutions of a quadratic equation are - 1,3. Write a related quadratic function in factored form.
Answer:
(x+1)(x-3)
Step-by-step explanation:
We simply convert the solutions into roots. We take the negative of the solutions and we put it into (x - root) form.
Answer:
(x+1) (x-3)
Step-by-step explanation:
(x+1)=0
x=-1
(x-3)=0
x=3
solutions are (-1, 3) we put -1 first because x always comes before Y value.
Please mark me as brainliest. I need to rank up.
Not p has a truth value of 1 minus p. P logical and q has a truth value equal to the minimum of p and q. P logical or q has a truth value equal to the maximum of p and q. P right arrow q has a truth value equal to the min of 1 and 1 minus p plus q. P left right arrow q has a truth value equal to 1 minus StartAbsoluteValue p minus q EndAbsoluteValue. Suppose the statement "p: The sun is shining" has a truth value of 0.57 and the statement "q: Mary is getting a tan" has a truth value of 0.08. Find the truth value of
yes jxjfnsuspfjidheagdkhrsojieeidhj
Christine must buy at least $45$ fluid ounces of milk at the store. The store only sells milk in $200$ milliliter bottles. If there are $33.8$ fluid ounces in $1$ liter, then what is the smallest number of bottles that Christine could buy? (You may use a calculator on this problem.)
Answer:
7 bottles
Step-by-step explanation:
Christie needs to buy at least 45 fluid ounces of milk at the store.
33.8 fluid ounces=1 Liter
1 fluid ounce = [tex]\dfrac{1}{33.8}[/tex] Liters
45 fluid ounces = [tex]\dfrac{1}{33.8} \times 45 =1.3313$ Liters[/tex]
Now:
1 Liter =1000 Milliliter
Therefore:
1.3313 Liter= 1000 X 1.3313 Milliliters
1.3313 Liter= 1331.3 Milliliter
Therefore, the smallest number of 200 milliliter bottles Christie must buy is:
[tex]=\dfrac{1331.3}{200}=6.7 \\\approx 7$ bottles[/tex]
Answer:
7
Step-by-step explanation:
I will mark Brainliest this is urgent
Answer:
CD = 7
Step-by-step explanation:
If BC = 7 and ACB ≈ DCE, if you continue the line through BC, you'll see that the rest of it is CD, meaning BC = CD giving you the answer.
Answer:
Solution ⇒ 7
Step-by-step explanation:
Let us list the Given;
[tex]ACB = DCE,\\AC = 5 units,\\BC = 7 units[/tex]
Knowing that Δ ACB ≅ Δ DCE, by CPCTC we can consider the following;
[tex]AC = CD,\\BC = CE,\\AB = DE[/tex]
If we have to find the length of CD, given BD = 7 units;
[tex]CD = 7\\Conclusion, 7[/tex]
Which is a memory strategy
A: Memorize every fact
B: Study alone to avoid distractions
C: let information sink in by studying just before tests
D: Review information shortly after you’ve learned it
Answer:
the answer should be D
Step-by-step explanation:
:)
What is the simplified form of the given expression?
(4.2 x 103)(2.6 x 104)
A. 1.092 x 106
OB.
B. 1.092 x 107
C.
1.092 x 108
D. 1.092 x 1012
Answer:option A
(4.2✖️10^3)(2.6✖️10^4)
4.2✖️2.6✖️10^3✖️10^4
10.92✖️10^3+4
10.92✖️10^7
10.92✖️10✖️10^6
1.092✖️10^6
Step-by-step explanation:
I hope this will help you:)
Answer:
1.092 x 10^8
Step-by-step explanation:
(4.2 x 10^3)(2.6 x 10^4)
Multiply the numbers
4.2* 2.6 =10.92
Add the exponents
10^3 * 10 ^4 = 10 ^(3+4) = 10^7
10.92 * 10^7
But this is not scientific notation, there can only be one digit in front of the decimal
Move the decimal one place to the left and add one to the exponent
1.092 * 10 ^(7+1)
1.092 x 10^8
the diagram shows wxy. which term describes point z?
Answer:
You need to upload a picture of the problem in order to get the answer.
a number between 891 and 909 that is divisible by 10
Answer:
[tex]900[/tex]
Step-by-step explanation:
[tex]892/10=89.2\\893/10=89.3\\894/10=89.4\\895/10=89.5\\896/10=89.6\\897/10=89.7\\898/10=89.8\\899/10=89.9\\900/10=90\\901/10=90.1\\902/10=90.2\\903/10=90.3\\904/10=90.4\\905/10=90.5\\906/10=90.6\\907/10=90.7\\908/10=90.8\\909/10=90.9[/tex]
Alejandra correctly wrote the equation y - 3 = (x - 10) to represent a line that her teacher sketched. The teacher then
changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent
the new line?
O y-6 = 2(x - 10)
Oy-2 = 5(x - 10)
Oy-3 = {(x-2)
Oy-3 = 2(x - 10)
Which equation is equivalent to
[tex] {4 }^{x + 3} = 64[/tex]
= 64?
given that £1=$1..62 what is 650 pounds in dollars
1 pound = 1.62 dollars.
Multiply total pounds by 1.62 for total dollars.
650 x 1.62 = $1,053