If a figure is dilated by a factor of 1.5, the area of the figure will change by a factor of
Answer:
The figure will change by a factor of 2.25.
Step-by-step explanation:
When the lengths (1-dimensional) change by a factor 1.5 (the definition of dilating a figure), the area (2-dimensional) will change by a factor 1.5 to the power of the quotient of the values of the dimensions, which is 2/1 = 2. So the area will change by a factor of 1.5^2 = 2.25.
The cookie recipe called for oatmeal and raisins in the ratio of 3 to 1. If 4 cups of oatmeal were called for, how many cups of raisins were needed?
Answer:
1.33 or about 2
Step-by-step explanation:
Answer:
12 cups of raisins
Step-by-step explanation:
If our ratio is 3 to 1 or for every one cup of oatmeal we have 3 cups of raisins, we want our new ratio to be equal to that ratio!
Our new ratio is ? to 4, we know that for every one cup of oatmeal we have 3 cups of raisins then...
We have to multiple 3×4 to find our ?
3×4 = 12
So, we know that for every 4 cups of oatmeal we will have 3 cups of raisins!
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
Sebastian writes the recursive formula f(x+1) = 4f(x) to represent a geometric sequence whose second term is 12.
Which explicit formula can be used to model the same sequence?
f(x) = 12(4)x
f(x) = 3(4)x − 1
f(x) = 4(12)x
f(x) = 4(3)x − 1
Answer:
B
Step-by-step explanation:
I got u
The explicit formula for the geometric progression is f ( x ) = 3 ( 4 )ˣ⁻¹
What is Geometric Progression?A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.
The nth term of a GP is aₙ = arⁿ⁻¹
The general form of a GP is a, ar, ar2, ar3 and so on
Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )
Given data ,
Let the geometric progression be represented as A
Now , the value of A is
f ( x + 1 ) = 4 f ( x )
where the second term is a₂ = 12
Now , the explicit formula is given by
f ( x ) = 3 ( 4 )ˣ⁻¹
when x = 2
f ( 2 ) = 3 ( 4 )²⁻¹
f ( 2 ) = 3 ( 4 )
f ( 2 ) = 12
Hence , the GP is f ( x ) = 3 ( 4 )ˣ⁻¹
To learn more about geometric progression click :
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-360 divided by -40 ?
Answer: 9
Step-by-step explanation:
The required -360 divided by -40 is equal to 9. The negative signs cancel out when dividing two negative numbers, resulting in a positive result.
When dividing two negative numbers, it's helpful to keep in mind the following rule:
The division of two negatives yields a positive result.
Now, let's perform the division:
-360 ÷ -40
Since both numbers are negative, we know the result will be positive.
Divide the absolute values of the numbers.
|-360| ÷ |-40| = 360 ÷ 40 = 9
Apply the rule for the division of two negatives.
Since both numbers are negative, the result will be positive:
-360 ÷ -40 = 9
Therefore, -360 divided by -40 is equal to 9.
Learn more about division here:
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2x^3+7x^2-4x+7/x^2+2x+2
Answer:
Step-by-step explanation:
Can someone help pleasere
what does 108 × 1/3 equal?
Answer:
It would be 36
Explanation:
First:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
108/1 ×1/3
Applying the fractions formula for multiplication,
=108×1/1×3 = 108/3
Simplifying 108/3, the answer is
=36
hope it helped. :)
What is the graph represents the equation y=1/3x+2
Step-by-step explanation:
step 1. you mean which graph represents the equation y = (1/3)x + 2?
step 2. please provide the graphs - they are missing.
step 3. the equation has a slope of 1/3 which means it goes up one and three to the right.
step 4. the y intercept is 2 so it goes through the point (0, 2).
10 Determine the area of the figure. 9 cm 6 cm 12 cm
Answer:
Area= 648
Step-by-step explanation:
Area formula: L times W times H
9 times 6 times 12 :)
When the length, width, and the height is given so the area of the figure is considered to be 648.
Calculation of an area:Since the length is 9cm
The width be 6 cm
And, the height is 12 cm
So, the area be like
= (9) (6) (12)
= 648
Hence, When the length, width, and the height is given so the area of the figure is considered to be 648.
Learn more about an area here: https://brainly.com/question/20882229
Do 4x and 15+x have the same value when x is 5
Answer:
Yes!
Step-by-step explanation:
4x5= 20
15+5= 20
which of the value of x satisfies the equation below -2x-7=12
A: x= -9.5
B: x= -9
C: x=9
d:x=9.5
PLEASE HELP!!
What is the volume?
8 t
7 ft
21
cubic feet
Answer:
The answer is 8ft
Step-by-step explanation:
hope that helps :)))
Answer:
112ft²
Step-by-step explanation:
volume= length×breadth×height
[tex]v = 8 \times 2 \times 7 = 112f {t}^{2} [/tex]
5. If the ratio of boys to girls in a student's class is 5 to 7, what fraction of the class is boys?
What fraction is girls?
Answer:
Boys ratio- 5/12 girls ratio 7/12 dont think you can simplify
Step-by-step explanation:
Answer:
5 = Boys 7 = Girls
Step-by-step explanation:
Boys:Girls = 5:7. I hope this helps :)
What is the range of the function f(x)= 2 + 4 when the domain is {-2, 0, 3}?
A {4.25, 5, 12}
B. {0, 4, 10}
C. {4.25, 4, 12}
D. All Real Numbers
The domain is the possible input values "x" .. in this case [-4, -2, 0, 2, 4]
The range are the possible output values of f(x)
We need to solve f(x) = 3.2x for each value in our domain
f(-4) = 3.2(-4) = -12.8
f(-2) = 3.2(-2) = -6.4
f(0) = 3.2(0) = 0
f(2) = 3.2(2) = 6.4
f(4) = 3.2(4) = 12.8
I need help please answer
Answer:
√130
Step-by-step explanation:
_______________________
2
Simplify the expression by combining like terms.
2x + 4y + 6 + 2y - 5+ 3x
<
Answer:
5x + 6y + 1
Step-by-step explanation:
Assume that y varies inversely
with x. Ify = 7 when x = 2/3, find
y when x = 7/3.
Y=?
Answer:
y = 2
Step-by-step explanation:
y varies inversely with x setup is:
y = k/x
7 = [tex]\frac{k}{2/3}[/tex] (find 'k')
k = 7/1 · 2/3
k = 14/3
use what you know about 'k' and 'x' to solve for 'y'
y = 14/3 ÷ 7/3 (remember to multiply by the reciprocal when dividing fractions)
y = 14/3 · 3/7
y = 2
Find the greatest common factor of 16 17 20
Answer:
1
Step-by-step explanation:
As you can see when you list out the factors of each number, 1 is the greatest number that 16, 17, and 20 divides into.
brainliet, please? hee hee
The yield of strawberry plants depends on the amount of fertilizer fed to the plants. Agricultural research shows that an acre of strawberry plants will yield 770 pounds of strawberries when 70 cubic feet of fertilizer are applied. If 90 cubic of feet of fertilizer are applied, the yield will be 990 pounds of strawberries. Use linear interpolation to estimate the yield if 72 cubic feet of fertilizer are applied.
______________(and select unit of meansure)---> (cubic feet/ pounds per cubic foot/ pounds/cubic feet per pound
Answer:
[tex]792\ \text{pounds}[/tex]
Step-by-step explanation:
[tex]x_1=70[/tex] cubic feet of fertilizer is used in [tex]y_1=770[/tex] pounds of strawberries
[tex]x_2=90[/tex] cubic feet of fertilizer is used in [tex]y_2=990[/tex] pounds of strawberries
[tex]x=72[/tex] cubic feet of fertilizer is used
Linear interpolation is applied
[tex]y=y_1+\dfrac{(x-x_1)(y_2-y_1)}{x_2-x_1}\\\Rightarrow y=770+\dfrac{(72-70)(990-770)}{90-70}\\\Rightarrow y=792\ \text{pounds}[/tex]
72 cubic feet of fertilizer will yield [tex]792\ \text{pounds}[/tex] of strawberries.
write 1,593 in standard form
Answer:
one thousand five hundred and niethree .
Step-by-step explanation:
You just use words instead of numbers.
Can someone help? I’ll give brainliest
Answer:
yes i will!
Step-by-step explanation:
you spin the spinner below once: what is the P(getting a number less than 5)?
Answer:
3/4
Step-by-step explanation:
Answer: it would be 3/4 hope this helps you!!!
Step-by-step explanation:
If the point (-5, -4) is reflected across the x-axis, what are the coordinates of the new point?
Answer:
(-5, 4)
Step-by-step explanation:
Recall that in a reflection across the x-axis the x coordinate stays the same, while the y coordinate flips its sign.
Therefore
(-5, -4) converts under reflection into (-5, 4)
Which of the following functions is graphed below?
Answer:
i think it is Answer D i am not sure
Step-by-step explanation:
Solve the following equation for x: 2(5x+6)+3x=38
Answer:
x=2
Hope this helps! Have a good day! :)
When 6 pounds of coffee cost $4.68, how much will 3 1/2 pounds cost?
Answer:
2.73
Step-by-step explanation:
Have a great day! I just put it down to cost per pound and and then multiplied by 3 1/2 and got the answer. :)
Answer:
$4.48
Step-by-step explanation:
6/4.68 = 1.28205128205 = 1.28
3 1/2 x 1.28 =
3.5 x 1.28 = 4.48 =
$4.48
Help me please guys.
Determine the ratio in the picture below
Answer:
Sin Z=30/50 or 3/5
Step-by-step explanation:
To figure out Sin Z, you need the formula which is Sin=o/h
O=opposite
H=Hypotenuse
To find opposite, you locate the angle(angle Z) and you draw an arrow that is opposite of the angle. To find hypotenuse, you pinpoint the right angle and you find the degree that it is opposite of.
O=30
H=50
Finally, you simplify 30/50 to get 3/5ths. Hope this helps you out!
a painter can paint 180 square feet in 30 minutes. how many square feet can he paint in 120 minutes?
Answer:
720
Step-by-step explanation:
jayfeather friend me
Answer:
720
Step-by-step explanation:
What is 5 divided by 1/8?
Answer: 50
Step-by-step explanation:
Its 40
Step-by-step explanation
Is 3 a rational number
Answer:
Yes
Step-by-step explanation:
Rational numbers are numbers that can actually be written down and end at some point, such as 3, 4, 6, 10, etc. Some numbers that aren't rational are numbers like π, which are never-ending.