Answer:
24 cm
Step-by-step explanation:
The photo was 6 cm wide, and was made into 18 cm wide. Divide 18 with 6:
18/6 = 3
To solve for the length enlargement, multiply 3 with the length, or 8 cm:
8 x 3 = 24
24 cm is the length of the enlargement.
~
Which of the following graphs shows a pair of lines that represents the equations with the solution (4, −1)?
-- FOR ANYONE WITH THIS QUESTION, ITS D --
A coordinate grid is shown from negative 8 to positive 8 on the x axis and also on the y axis. A pair of lines is shown intersecting on ordered pair 1 unit to the right and 4 units down. A coordinate grid is shown from negative 8 to positive 8 on the x axis and also on the y axis. A pair of lines is shown intersecting on ordered pair 4 units to the right and 1 unit down. A coordinate grid is shown from negative 8 to positive 8 on the x axis and also on the y axis. A pair of lines is shown intersecting on ordered pair 4 units to the left and 1 unit up. A coordinate grid is shown from negative 8 to positive 8 on the x axis and also on the y axis. A pair of lines is shown intersecting on ordered pair 1 unit to the left and 4 units up.
Answer:
Option B.
Step-by-step explanation:
We need to find a pair of lines that represents the equations with the solution (4, −1).
Since (4,-1) is the solution of the equations. It means (4,-1) is the intersection point of lines.
4 on x-coordinate means 4 units right.
-1 on y-coordinate means 1 unit down.
A coordinate grid is shown from negative 8 to positive 8 on the x axis and also on the y axis. A pair of lines is shown intersecting on ordered pair 4 units to the right and 1 unit down.
Therefore, the correct option is B.
Answer:
D
Step-by-step explanation:
Which of the following best describes the directrix of a parabola?
Answer:
Step-by-step explanation:
D is correct. Picture the graph of the parabola (a vertical one). Locate its vertex. The focus is situated inside the curve of the parabola. The directrix is situated outside the parabola and is perpendicular to the axis of symmetry of the parabola.
Answer:
D is the correct answer.
Step-by-step explanation:
Simplify $\sqrt5-\sqrt{20}+\sqrt{45}$.
Answer:
[tex]2\sqrt{5}[/tex]
Step-by-step explanation:
[tex]\sqrt5-\sqrt{20}+\sqrt{45}[/tex]
It is the same process as in the last problem.
[tex]\sqrt5-2\sqrt{5}+3\sqrt{5}[/tex]
[tex]2\sqrt{5}[/tex]
Answer:
Your correct answer is 2√5
Step-by-step explanation:
√5 − √20 + √45 = 2√5
Coach kunal stacks all of the tennis balls in a square pyramid. The number of tennis balls, P(n), in n layers of the square pyramid is given by P(n) = P(n - 1) + n^2. Which could not be the number of tennis balls Coach Kunal has? A. 30 B. 5 C. 14 D. 9
Answer:
Answer is D.9Step-by-step explanation:
The number of tennis balls, P(n) , in n layers of the square pyramid is given. by: P(n) = P(n - 1) + n ^ 2As the stack of the tennis balls is in shape of a square pyramid, that means in the top layer, there will be one ball. So, P(1) = 1Now, if n = 2 , then P(2)=P(2 - 1)+ (2) ^ 2 = P(1) + 4 = 1 + 4 = 5If n = 3 , then P(3)=P(3 - 1)+ (3) ^ 2 = P(2) + 9 = 5 + 9 = 1414If n = 4 then P(4)=P(4 - 1)+ (4) ^ 2 = P(3) + 16 = 14 + 16 = 3014If n = 4 then P(4)=P(4 - 1)+ (4) ^ 2 = P(3) + 16 = 14 + 16 = 30That means, the number of tennis balls from the top layer will be: 1, 5, 14, 30,14If n = 4 then P(4)=P(4 - 1)+ (4) ^ 2 = P(3) + 16 = 14 + 16 = 30That means, the number of tennis balls from the top layer will be: 1, 5, 14, 30,So, the number of tennis balls that Coach Kunal could not have is 9.A)x 1/9
B)x 1/6
C)x^6
D) x^9
Please explain in simple terms how you would solve this please!!
Answer:
Answer should be x^9
Step-by-step explanation:
This equation looks really complicted, but it's actually much easier when you break it down! First, your going to multiply the fraction 3/2 by 6 - since one is a fraction, youre going to find the GCF, or Greatest Common Factor, and reduce it. The GCF in this equation is 2, so we eliminate the two from the fraction (making it just 3) and divide 6 by 2 (getting 3). Thus, we are left with (x^3)^3 -> 3 x 3 = 9. So we are left with x^9. I hope this helps!
air flows through a duct at 2400 cubic feet per minute after several feet in a few vent the air flow decreases to 1680 cubic feet what is the percent drop that has occurred
Answer:
I think the answer is 7.2%
Step-by-step explanation:
2400-1680=720
720/100=7.2
7.2 is the answer
Hope this helps!
If it takes 24 gallons of fruit punch to serve 144 guests, how many gallons of punch would be needed to serve 66 guests? (Assume all guests drink the same amount of punch. Enter an exact number.)
Answer:
11 gallons
Step-by-step explanation:
We can set up a proportion.
g represents gallons of punch.
24/144=g/66
We can simplify the left side:
1/6=g/66
We cross multiply.
6g=66
g=11
You need 11 gallons of punch to serve 66 guests!
please help asap !!!!!!
Answer:
A.
Step-by-step explanation:
[tex]\sqrt{10} *\sqrt{8}\\ \sqrt{10}*\sqrt{2*4}\\\sqrt{10}*2\sqrt{2}\\2\sqrt{2*10}\\2\sqrt{20}\\ 2\sqrt{4*5} \\4\sqrt{5}[/tex]
find the values of x and y in the diagram and show work please it's for geometry class
Answer:
x = 10
y = 70
Step-by-step explanation:
By using the vertical angles theorem we know that x+ y +10 = 90, also simplified to x + y = 80
and 2x + y = 90
By using the substitution method on x + y = 80, it will be y = -x + 80
When you put into the equation 2x + y = 90 you will get 2x -x +80 = 90
Then it will simplify to x = 10
After that plug 10 into x + y = 80 to 10 + y = 80 and get y = 70
Which of the following is equivalent to
Answer: C
Step-by-step explanation:
This is the answer because you have to multiply (x-1) on both sides and that will cancel out the denominator on the right. Then, multiply by x on both sides and that will cancel the denominator on the left side. When you do this, C should be your answer. Hope this helps :)
Answer:
the third oneStep-by-step explanation:
[tex]\dfrac{5x+2}x=\dfrac{-12}{x-1}\\\\{}\quad\ \cdot x\qquad\ \cdot x\\\\5x+2\ =\ \dfrac{-12x}{x-1}\\\\\cdot (x-1)\quad \cdot (x-1)\\\\(5x+2)(x-1)=-12x[/tex]
THE IMAGE DOWN BELOW MATH PLEASE HELP ME WITH THIS ALEGEBRA IM CRYING YALL
Answer:
75%.
Step-by-step explanation:
The increase in miles = 3.5 - 2 = 1.5.
So the percent increase = (1.5 / 2.0) * 100
= 0.75 * 100
= 75%.
Answer:75%
Step-by-step explanation
Her progress 3.5-2=1.5
2 miles progressed by 1.5 miles
1 miles progressedby 1.5/2 miles
100 miles progressedby ( 1.5/2)x 100
=75℅
Problem situation: Bernie spends $6.50 on ingredients and cups for his lemonade stand. He charges $1.50 for each cup of lemonade. How many cups, x, will Bernie need to sell to make a profit of at least $20? Inequality that represents this situation: 20≤1.50x−6.50 Drag each number to show if it is a solution to both the inequality and the problem situation, to the inequality only, or if it is not a solution.
Answer:
Answer:
18 cups.
Step-by-step explanation:
We are given that Bernie spends $6.50 on ingredients and cups for his lemonade stand. He charges $1.50 for each cup of lemonade. Inequality that represents this situation: .
To find number of cups x to make a profit of at least $20 we will use our given inequality.
Therefore, in order to make a profit of at least $20 Bernie need to sell 18 cups of lemonade.
Answer:
this the right answer
Step-by-step explanation:
SOLUTION TO BOTH THE INEQUALITY AND THE SITUATION18, 23
SOLUTION TO THE INEQUALITY ONLY17.7, 35.5NOT A SOLUTION 10, -4Each answer choice below represents a relation by a set of ordered pairs. In which of the answer choices is the relation a function? Select all correct answers. Select all that apply:
{(9,14),(4,−3),(8,11),(8,9)}
{(−5,−3),(−3,2),(3,3),(9,3)}
{(3,3),(2,−2),(0,10),(2,2)}
{(−5,−3),(6,−4),(9,−5),(−2,−5)}
{(7,−1),(4,7),(0,−1),(2,14)}
Answer:
{(−5,−3),(−3,2),(3,3),(9,3)}
{(−5,−3),(6,−4),(9,−5),(−2,−5)}
{(7,−1),(4,7),(0,−1),(2,14)}
Step-by-step explanation:
These 3 answer choices all represent functions since the x-values only correspond to one y-value.
The other answer choices are not functions because some of the x-values correspond to more than one y-value.
(NEED HELP ASAP)Determine whether the situation calls for a survey, an observational study, or an experiment. You want to find new car buyers' opinions on the most important options. Question 7 options: survey observational study experiment
Answer: The answer is "experiment."
Step-by-step explanation:
This procedure is being used in order to validate a hypothesis, particularly in a research study. In the situation above, you have to validate whether a new reading program can increase reading comprehension or not.
The experiment consists of independent, dependent, and controlled variables. The independent variables are the ones being changed by the researcher, while the dependent variables tell whether the changes in the independent variable is significant. The controlled variables are the ones that are constant.
The dependent variable above is reading comprehension, while the new reading program is the independent variable. Examples of controlled variables are the ages of the participants. The age directly affects the reading comprehension, thus it has to be considered.
Find the area of the figure.
A rectangle topped by a triangle. The rectangle has length 6 yards and width 4 yards. The triangle has side lengths 3 yards and 4 yards.
a.
48 sq. yd
b.
60 sq. yd
c.
30 sq. yd
d.
42 sq. yd
Answer:
area of figure = area of rectangle + area of triangle
area of rectangle= length × width
6×4
24yd²
area of triangle= 1/2×base×height
1/2×3×4
3×2
=6yd²
area of figure= 24+6
= 30yd²
Answer:
area of figure = area of rectangle + area of triangle
area of rectangle= length × width
6×4
24yd²
area of triangle= 1/2×base×height
1/2×3×4
3×2
=6yd²
area of figure= 24+6
= 30yd²
Step-by-step explanation:
A square with area 4 is inscribed in a square with area 5, with one vertex of the smaller square on each side of the larger square. A vertex of the smaller square divides a side of the larger square into two segments, one of length a and the other of length b. What is the value of ab?
Answer:
ab = 1/2.
Step-by-step explanation:
The sides of the large square have length √5 while the sides of the small one have sides of length 2.
Each corner has a right triangle with legs of length a and b and hypotenuse 2.
So we have the system
a + b = √5
a^2 + b^2 = 2^2 = 4
Using the identity a^2 + b^2 = (a + b)^2 - 2ab:
4 = (√5)^2 - 2ab
4 = 5 - 2ab
2ab = 5 - 4 = 1
ab = 1/2.
Find the slope of the line graphed. A)2/5 B)5/2 C)2 D)5
Answer:
2/5
Step-by-step explanation:
when looking at a graph remember rise over run so go up 2 and over 5 and then you are now on an even space
Answer: A , i think it is 2/5
Step-by-step explanation: rise =2 run =5
Write the slope-intercept form of the equation that passes through the point (0,-3) and is perpendicular to the line y = 2x - 6 a. y = -2x + 3 b. y = 2x - 3 c. y = -1/2x - 3 d. y = -1/2x + 3
Answer:
y = (-1/2)x - 3
Step-by-step explanation:
The line y = 2x - 6 has a slope of 2 and so any line perpendicular to it has a slope which is the negative reciprocal of 2: -1/2.
If this perpendicular line passes through (0, -3), then the slope-intercept equation y = mx + b becomes -3 = (-1/2)(0) + b, or -3 = b, and the desired
equation is
y = (-1/2)x - 3
A factory can work its employees no more than 5 days a week, and no less than 2 days per
week. Create an inequality to represent the range of days an employee can work. Solve the
inequality to determine the range in hours. Show all of your work and explain each of your
steps. Explain your answer.
Answer: 2 <= X <= 5
Step-by-step explanation:
Given that a factory can work its employees no more than 5 days a week, that is, less than or equal to 5 days.
And no less than 2 days per week. That is, greater than or equal to 2 days.
Let X be the number of days employee can work. Then, according to the first statement, X <= 5 and according to the second statement, X >= 2
An inequality to represent the range of days an employee can work will be
2 <= X <= 5
Therefore, an employee can work for 2 days, 3 days, 4 days and 5 days
Which function is the result of vertically shrinking ƒ(x) = 2(x + 3)2 by a factor of ½ and reflecting it across the x-axis?
Question 7 options:
A)
y = (x + 3)2
B)
y = –½(x + 3)2
C)
y = –(x + 3)2
D)
y = ½(x + 3)2
Answer:
C) y = -(x + 3)2
Step-by-step explanation:
To vertically shrink the function by a factor of 1/2, we just need to multiply f(x) by 1/2 (This way the values in the y-axis will decrease by a factor of 1/2):
[tex]y = (1/2) * 2(x + 3)^2[/tex]
[tex]y = (x + 3)^2[/tex]
Now, to reflect the function across the x-axis, we just need to put a minus sign in the front of the function (so the values in the first and second quadrant will go to the third and fourth quadrant, that is, f(x) will be -f(x)):
[tex]y = -(x + 3)^2[/tex]
So the correct option is C)
The length of a square is 10 cm. Calculate the perimeter of the square A. 40cm² B. 400cm² C. 4ocm D. 414cm² I will mark you as brainliest
Answer:
40 cm
Step-by-step explanation:
the 414cm2 is eso they
Given OT with PQ = SR. What is the length of SR?
Answer:
42, because PQ is split in half and one side is 21, the 2 little lines going thru it show that both sides are equal meaning PQ is 42 bc of 21+21 therefore so is SR
Step-by-step explanation:
Find the equation of the line
Answer: y = -6x + 5
Step-by-step explanation:
equastion is y = dx + e
+) Because it perpendicular y = \dfrac{1}{6} x + 3
d \times \dfrac{1}{6} = -1
<=> d = -1 : \dfrac{1}{6}
<=> d = -6
=> y = -6x + e;
+) Because it contains the point (-3; 23)
=> 23 = -6 \times (-3) + e
<=> e = 5
=> y = -6x + 5
In the expression [Image Displayed] what is k?
a.
inverse variation
c.
constant of variation
b.
direct variation
d.
the solution
Answer:
the answer is A
Step-by-step explanation:
this this is because a is inversely proportional to b so therefore k becomes an inverse variation
Please answer this question now
Answer:
UV and WV
Step-by-step explanation:
Owners of a recreation area are filling a small pond with water. Let y represent the total amount of water in the pond (in liters). Let x represent the total number of minutes that water has been added. Suppose that x and y are related by the equation y=400+32x . Answer the questions below. Note that a change can be an increase or a decrease. For an increase, use a positive number. For a decrease, use a negative number. What is the change per minute in the amount of water in the pond? What was the starting amount of water in the pond?
Answer:
32400Step-by-step explanation:
Lets start by defining the numbers in the equation.
This equation is in slope-intercept form meaning that it is y=mx+b or y = b+mx they are both the same
In slope-intercept form,
m = slope or rateand b = y-intercept
Th equation is y=400+32x so now we know
b=400and m=32For the first question the change per minute is the rate so it is 32.
For the second question the starting amount is the same as the y-intercept so it is 400.
Which of the following are identities?
Answer:
A. III only
Step-by-step explanation:
In mathematics, an identity is one of the characteristics of algebraic expressions.
Given variable a and b in an algebraic expression, an identity is defined as an equality that remains the same no matter the values that we choose for either variable a or b.
Identity in mathematics makes it very easy to solve algebraic expressions. The two sides of an identity in an algebra can easily be exchanged for each other.
In the above question, we are given 3 Options.
I) 3(5 + 2x) = 15 + 6x
II) y = x + 3
III) (x² - y²) = (x + y) (x - y)
Option I) 3(5 + 2x) = 15 + 6x
Is showing distributive property in mathematics.
Distributive property is :
a(b + c) = ab + ac
Option I is not an identity , therefore it is wrong.
Option II) y = x + 3 is just an algebraic expression.
Only Option III is an identity. This is because it follows the rule of
(a² - b²) = (a + b) (a - b)
We can prove and confirm this be solving the algebraic expression
(x + y) (x - y)
We expand the bracket
x² - xy +xy - y²
x² - y²
Therefore, option A is the correct option.
Profit is the difference between revenue and cost. The revenue, in dollars, of a company that manufactures televisions can be modeled by the polynomial 3x2 + 180x. The cost, in dollars, of producing the televisions can be modeled by 3x2 – 160x + 300. The variable x is the number of televisions sold.
If 150 televisions are sold, what is the profit?
Answer:
100
Step-by-step explanation:
Place the indicated product in the proper location on the grid. (y x - 5)(y x + 5)
Answer:
y²x² - 25Step-by-step explanation:
To get the product of the function (y x - 5)(y x + 5), we will have to expand the bracket as shown;
= (y x - 5)(y x + 5)
= (yx)² + 5yx-5yx- 5(5)
= (yx)² + 5yx-5yx- 25
=(yx)² +0- 5(5)
= y²x² - 25
The product is expressed as y²x² - 25
Answer:
The person above me is *almost* right. but the x's are exponents.
Step-by-step explanation:
The right answer is y^2x-25. I hope this helps you! <3
Does anyone know how to solve this question. Coach kunal stacks all of the tennis balls in a square pyramid. The number of tennis balls, P(n), in n layers of the square pyramid is given by P(n) = P(n - 1) + n^2. Which could not be the number of tennis balls Coach Kunal has? A. 30 B. 5 C. 14 D. 9
Answer:
D. 9
Step-by-step explanation:
From the question, we are given the following information:
The number of tennis balls represented by P(n), in n layers of the square pyramid is given as
P(n) = P(n - 1) + n²
In other to solve for n, we would be taking some values for n
Step 1
Let's take the first layer,
n is represented by 1
n = 1
P(1) = P(1 - 1) + 1²
P(1) = 1 tennis ball.
Step 2
Let's take the second layer
n is represented by 2
P(2) = P(2 - 1) + 2²
P(2) = P(1) + 2²
Note that: P(1) above = 1
P(2) = 1 + 2²
P(2) = 5 tennis balls
Step 3
Let's take the third layer
n is represented by 3
P(3) = P(3 - 1) + 3²
P(3) = P(3 - 1) + 3²
P(3) = P(2) + 3²
Note that: P(2) above = 5
P(3) = 5 + 3²
P(3) = 14 tennis balls
Step 4
Let's take the fourth layer
n is represented by 4
P(4) = P(4 - 1) + 4²
P(3) = P(4 - 1) + 4²
P(3) = P(3) + 4²
Note that: P(3) above = 14
P(3) = 14 + 4²
P(3) = 30 tennis balls
We can continue this process, on and on
From the above solution for the number of the tennis balls in first four layers will be: 1, 5, 14, 30,
Hence, the number of tennis balls that Coach Kunal could not have is 9.