Answer:
The required time is 8 years.Step-by-step explanation:
Let, it will take x years to be of same height for these trees.
We know that 1 ft = 12 inches.
8 ft = [tex]12\times8 = 96 inch[/tex]. 2 ft = 24 inch.
After x years, the height of type A will be (96 + 6x) inch and the height of type B will be (24 + 15x) inch.
We need find the value of x, for which 96 + 6x = 24 + 15x or, 9x = 72 or, x = 8.
What is the experimental probability of drawing a red marble, given the following results?
Marble Color Blue Green Red
Times Drawn 8
Answer:
7/20..i hope its correct
Step-by-step explanation:
all = 8+5+7
=20
red marbles / all = 7/20
Answer:
7/20
Step-by-step explanation:
a museum's gift shop had 280 animal shaped erasers . Each package had 8 erasers. how many packages are there
Answer:
35
Step-by-step explanation:
just due 280 divided by 8
The store bought a pair of shoes for $50, and sold it for $80.What percentage was the mark up
The markup percentage on the shoes that were bought for $50 and sold for $80 is 60%.
To calculate the markup percentage, you subtract the original cost from the selling price and then divide that number by the original cost. Finally, you multiply the result by 100 to get the percentage.
The formula looks like this: ((Selling Price - Original Cost) / Original Cost)× 100. Let's apply this formula to your question.
The store bought the shoes for $50 and sold them for $80. So the markup in dollars is
$80 - $50 = $30
Now, let's convert this to a percentage:
Markup Percentage =
[tex]= \frac{80-50}{50} \times 100 \\\\= \frac{30}{50} \times100\\\\ = 60\%[/tex]
The markup percentage is 60%.
No explanation needed, A,B,C, or D?
Answer:
B I think
Step-by-step explanation:
What is the solution for x in the equation?
9x - 20 - 4x = 40
Answer:
Step-by-step explanation:
X=12
Answer:
x= 12
Step-by-step explanation:
9x-20-4x=40
add 20 on both sides
40+20=60
combine like terms
9x-4x=5x
divide 60 by 5
=12
Write the expression in simplest form. h+6h
Answer:
h has a coefficient 1 so u will afd 6h +h=7h
change the decimal to a fraction and reduce .62
Answer:
31/50
Step-by-step explanation:
0.62 = 62/100 = 31/50
approximate
[tex] log_{3}14 + 1 [/tex]
Answer:
log(14) / log(3) + 1 OR 3.40217350
Step-by-step explanation:
A restaurant offers hamburgers with one, two, or three patties. Let X represent the number of patties a randomly chosen customer orders on their hamburger. Based on previous data, here's the probability distribution of X along with summary statistics:
X=# of patties 1 2 3
P(X) 0.40 0.50 0.10
Mean: μX=1.7
Standard deviation: σX≈0.67
The total price of each burger is set at $2 per patty. Let T represent the total price a randomly chosen customer pays for their burger. Find the mean of T
Answer:
The mean price a randomly chosen customer pays for her or his burger is US$ 3.40
Step-by-step explanation:
Let's find out the mean of T (total price a randomly chosen customer pays for their burger), this way:
Mean of T = 0.4 * $ 2 + 0.5 * $ 4 + 0.1 * $ 6
Mean of T = 0.8 + 2 + 0.6
Mean of T = US$ 3.40
The mean price a randomly chosen customer pays for her or his burger is US$ 3.40
In the given case, the mean of T is [tex]\[ \boxed{3.4} \text{ dollars} \][/tex]
To find the mean of T, which represents the total price a randomly chosen customer pays for their burger, we can use the relationship between T and X.
Given that the price per patty is $2, the total price T can be expressed as:
T = 2X
We are given the mean number of patties [tex]\( \mu_X = 1.7 \).[/tex]
The mean of a transformed variable can be found using the linear transformation properties of the mean.
Specifically, if [tex]\( T = aX + b \),[/tex] then:
In this case, since T = 2X , we have a = 2 and b = 0.
Therefore:
[tex]\[ \mu_T = 2\mu_X + 0 = 2 \times 1.7 = 3.4 \][/tex]
So, the mean of T is- [tex]\[ \boxed{3.4} \text{ dollars} \][/tex]
Marilyn has 7/8 yard of ribbon. What is the maximum number of 1/16 yard long pieces Marilyn can cut from this ribbon
Marilyn can cut 14 equal pieces
Solution:
Given that, Marilyn has 7/8 yard of ribbon
To find: Maximum number of 1/16 yard long pieces Marilyn can cut from this ribbon
From given information,
[tex]\text{Total length of ribbon } = \frac{7}{8} \text{ yard }[/tex]
[tex]\text{Length of 1 piece } = \frac{1}{16} \text{ yard }[/tex]
Number of pieces that can be cut from total length of ribbon is found by dividing the total length of ribbon by length of 1 piece
Therefore,
[tex]\text{Number of pieces } = \frac{\text{Total length of ribbon}}{\text{Length of 1 piece }}[/tex]
Substituting the values, we get
[tex]\text{Number of pieces } = \frac{\frac{7}{8}}{\frac{1}{16}}\\\\\text{Number of pieces } = \frac{7}{8} \times \frac{16}{1}\\\\\text{Number of pieces } = 14[/tex]
Thus 14 pieces of ribbon can be cut
LN is tangent to circle o at point M and QM is a diameter. Determine the measure of the following angles.
The measure of QML is degrees
The measure of ZPMN is degrees.
270
Answer:
Part 1) [tex]m\angle QML=90^o[/tex]
Part 2) [tex]m\angle PMN=63^o[/tex]
Step-by-step explanation:
The complete question in the attached figure
Part 1) Find the measure of angle QML
we know that
According to the Perpendicular Tangent Theorem, tangent lines are always perpendicular to a circle's radius at the point of intersection
so
radius OM is perpendicular to LN at point M
therefore
[tex]m\angle QML=90^o[/tex]
Part 2) Find the measure of angle PMN
we know that
[tex]m\angle QMN=m\angle QMP+m\angle PMN[/tex] ---> by angle addition postulate
we have
[tex]m\angle QMN=90^o[/tex]
[tex]m\angle QMP=27^o[/tex]
substitute
[tex]90^o=27^o+m\angle PMN[/tex]
[tex]m\angle PMN=90^o-27^o=63^o[/tex]
Applying the perpendicular tangent theorem, the missing angles are:
m∠QML = 90°
m∠PMN = 63°
What is the Perpendicular Tangent Theorem?The Perpendicular Tangent Theorem states that tangent lines are perpendicular to the radius of a circle at the point where they intersect, forming a right angle.
Thus:Based on the perpendicular tangent theorem,
m∠QML = m∠QMN = 90°
Thus:m∠QML = 90°
m∠PMN = 90° - 27°
m∠PMN = 63°
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Will make brainliest if answered correctly
These two boxes have the same volume.
Box A
Height: 2 in., Width: 3 in., Length: 6 in.
Box B
Height:3in., Width:4in., Length:?
What is the length of Box B?
A.2in
B.3in
C.4in
D.9in
Answer:
B
Step-by-step explanation:
Because they have same volume we have :
V(boxA)=2*3*6=36[tex]in^3[/tex]
V(boxB)=3*4*l=12l
V(boxA)=V(boxB)
So we have this equation :
36=12l
Divide by 12
l=3
Choose the answer
Your classmate has made a list of the events she wants to include in her personal
narrative. Read these events. Then select the answer that displays the best sequence
for these events
• Luckily, I was able to see my director in the front row. She was mouthing the
words to my line
• I woke up.
• I was shaking as I walked up to the stage
• Inished the scene and received a standing ovation
• I forgot my line and froze,
• I was so nervous that I couldn't eat anything all day.
The best sequence for the events in the personal narrative would be: waking up, feeling nervous, walking up to the stage, forgetting the line, director helping with the line, and receiving a standing ovation.
Explanation:I woke up.I was so nervous that I couldn't eat anything all day.I was shaking as I walked up to the stage.I forgot my line and froze.Luckily, I was able to see my director in the front row. She was mouthing the words to my line.I finished the scene and received a standing ovation.Learn more about Sequencing events in a personal narrative here:https://brainly.com/question/32299550
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Which statement describes the behavior of the function f (x) = 3x/4-x
The graph approaches –3 as x approaches infinity.
The graph approaches 0 as x approaches infinity.
The graph approaches 3 as x approaches infinity.
The graph approaches 4 as x approaches infinity.
Answer:
A. The graph approaches –3 as x approaches infinity.
Step-by-step explanation:
when looking at the problem F (x) + 3x/x-4 the answer would lead up to..
Finding the domain by finding where the function is defined. The range is the set of values that correspond with the domain.
Domain:
( − ∞ , 4 ) ∪ ( 4 , ∞ ) , { x | x ≠ 4 }
Range: ( − ∞ , − 3 ) ∪ ( − 3 , ∞ ) , { y | y ≠ -3 }
are what it leads to and seeing the range -3 would have x as infinite/ -∞
so A is the correct option to me
The statement that describes the behavior of the function f(x) = 3x/4-x is The graph approaches 0 as x approaches infinity.
Option B is the correct option.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The statement "The graph approaches 0 as x approaches infinity" is the correct statement that describes the behavior of the function f(x) = 3x/(4-x).
We can use the limit definition of approaching infinity.
When x becomes very large (positive or negative), the term 4 - x in the denominator becomes very small, approaching zero.
As a result,
The fraction 3x/(4-x) approaches zero as x approaches infinity.
This can be confirmed using L'Hopital's rule, which gives the limit of the function as 0/1, or simply by observing the graph of the function.
Thus,
The graph approaches 0 as x approaches infinity.
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What is the inverse of the function g(x) = -3(x+6)?
Answer:
g-1(x) = -x/3 - 6.
Step-by-step explanation:
Let g(x) = y = -3(x + 6)
y = -3x - 18
3x = - y - 18
x = -y/3 - 6
Now replace x by the inverse g-1(x) and y by x, so
g-1(x) = -x/3 - 6.
14. Find the value of the function:
If f(x) = 4x + 4x - 4, find f(0).
f(0) =
Answer:
f(0) = -4Step-by-step explanation:
[tex]f(x)=4x^2+4x-4\ or\ f^*(x)=4x+4x-4=8x-4\\\\f(0)-\text{put}\ x=0\ \text{to}\ f(x):\\\\f(0)=4(0)^2+4(0)-4=4(0)+0-4=0-4=-4\\\\f^*(0)=8(0)-4=0-4=-4[/tex]
What is the following product? (5 square root 2-4 square root 3) (5 square root 2-4 square root 3)
Answer:
(5 square root 2-4 square root 3) (5 square root 2-4 square root 3)
= 98 - 40[tex]\sqrt{6}[/tex]
Step-by-step explanation:
i) (5[tex]\sqrt{2}[/tex] - 4[tex]\sqrt{3}[/tex]) × (5√2 - 4√3)
=(5[tex]\sqrt{2}[/tex] × 5[tex]\sqrt{2}[/tex]) - (5[tex]\sqrt{2}[/tex] × 4[tex]\sqrt{3}[/tex]) - (4[tex]\sqrt{3}[/tex] × 5[tex]\sqrt{2}[/tex]) + (4[tex]\sqrt{3}[/tex] × 4[tex]\sqrt{3}[/tex])
= 50 - 20[tex]\sqrt{6}[/tex] - 20[tex]\sqrt{6}[/tex] + 48
= 98 - 40[tex]\sqrt{6}[/tex]
Answer:
98 - 40√6
Step-by-step explanation:
The words expression can be represented as follows:
(5√2 - 4√3) (5√2 - 4√3)
The question is to find the products .
(5√2 - 4√3) (5√2 - 4√3)
Multiply through to open the bracket
25 × 2 - 20√6- 20√6 + 16 × 3
50 - 20√6 - 20√6 + 48
50 - 40√6 + 48
50 + 48 - 40√6
98 - 40√6
Which number means the same as 7,000,000,000 + 900,000,000 + 20,000,000 + 7,000,000 + 100,000 + 70,000 + 3,000 + 800 + 60? A. 7,927,137,860 B. 7,972,173,860 C. 7,927,173,806 D. 7,927,173,860
Answer:
d
Step-by-step explanation:
Answer:
D. 7,927,173,860
Step-by-step explanation:
Because math
what does 3 over 4 times 2 equal?
Answer: 1.5
Da maths: Bruh ask google
A flying disc has a radius of
7inches. What is the area of one side of the flying disc to the nearest square inch? Use
3.14 as an approximation for pi
A.615 square inches
B. 38 square inches
C.154 square inches
D.44 square inches
The required area of the flying disc is 154 square inches.
A flying dis has radius of 7 inches. Area of the disc to be determine.
Area of circle is given by the pie times square of radius.
Area of circle = πr^2
= 3.14 * 7 *7
= 154 square inches
Thus, the required area of the flying disc is 154 square inches.
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Andy cut a tuna and a chicken sandwich into a total of 18 pieces. He cut the tune into 12 more pieces than the chicken. Andy are 5 pieces of the tuna. What fraction of the tuna did he eat?
The fraction is 5/15, which simplifies to 1/3. So Andy ate one third of the tuna sandwich.
The student's question involves determining the fraction of the tuna sandwich that Andy ate. Andy cut a tuna sandwich into 12 more pieces than the chicken sandwich and the total number of pieces was 18. Since tuna has 12 more pieces, we let the number of chicken pieces be x. Hence, the tuna pieces would be x + 12. The equation then is x + (x + 12) = 18. Solving this, we get x = 3 (chicken pieces) and x + 12 = 15 (tuna pieces).
Andy ate 5 pieces of the tuna sandwich, so the fraction of the tuna he ate is 5 out of the total tuna pieces, which is 15. Therefore, the fraction is 5/15, which simplifies to 1/3. So Andy ate one third of the tuna sandwich.
PLEASE BE QUICK!!
What is the area of the triangle? On a coordinate plane, a triangle has a base of 8 units and a height of 6 units.
Answer:
Therefore the Area of Triangle is 24 units².
Step-by-step explanation:
On a Co-ordinate plane
A Triangle having
Base = 8 units
Height = 6 units
To Find:
Area of Triangle = ?
Solution:
When Base and Height is given , then Area of triangle is given by
[tex]\textrm{Area of Triangle} = \dfrac{1}{2}\times Base\times Height[/tex]
Substituting the values we get
[tex]\textrm{Area of Triangle} = \dfrac{1}{2}\times 8\times 6=24\ units^{2}[/tex]
Therefore the Area of Triangle is 24 units².
Answer: 24
Step-by-step explanation:
base is 8
height is 6
write ratios for sin C, cos C, and tan C
Answer:
I got u
Step-by-step explanation:
sin C = 7/25 or 0.28
cos C = 24/25 or 0.96
tan C = 7/24 or about 0.292
lmk if u want me to explain how trigonometric functions work
The ratios for sin C, cos C, and tan C in a right triangle are y/h, x/h, and y/x respectively, where y is the opposite side, x is the adjacent side, and h is the hypotenuse.
Explanation:To write ratios for sin C, cos C, and tan C in a right triangle, you need to refer to the lengths of the sides of the triangle relative to angle C. If we denote the opposite side to angle C as y, the adjacent side as x, and the hypotenuse as h, the ratios are defined as follows:
sin C = opposite/hypotenuse = y/hcos C = adjacent/hypotenuse = x/htan C = opposite/adjacent = y/xIn a practical scenario, if you know the magnitude of one side and the direction angle, you can use these ratios to find the scalar components of a vector in a coordinate system, solve problems involving the Law of Sines and Law of Cosines, or analyze wave functions in physics. For example, the Law of Sines relates the lengths of the sides of a triangle to the sines of its angles as follows:
a/sin A = b/sin B = c/sin C
Where a, b, and c are the sides of the triangle opposite to angles A, B, and C, respectively.
find the greatest common divisor for 22/34 then simplify the fraction
Step-by-step explanation:
[tex]22=\boxed{2}\times11\\\\34=\boxed2\times17\\\\GCD(22,\ 34)=\boxed2\\\\\dfrac{22}{34}=\dfrac{22:2}{34:2}=\dfrac{11}{17}[/tex]
Answer:
11/17
Step-by-step explanation:
22 and 34
22: 1, 2, 11, 22
34: 1, 2, 17, 34
22/34 ÷ 2/2 = 11/17
Which statement describes the graph of the system of equations below? 1.5x+0.2y=2.68
1.6+0.3y=2.98
Answer:
( 1.17 3 , 4.6 )
Step-by-step explanation:
need help ASAP (linear / non-linear)
Answer:
linear
Step-by-step explanation:
It is linear because the line is straight.
Addie saved more than $36. Which inequality represents the amount she saved
Answer:
S>36
where S is saving
10. Find the equation of a line with a slope of O and that passes through
the point (-2,5).
Answer:
Y=5
Step-by-step explanation:
If the slope is 0 it will be a line parallel to the x axis with a constant value of y and since we know it passes through a point with y coordinate of 5 we know that the constant value of y is 5
Maureen bought a coat. She was excited because it was on sale, so she paid $15.25 less than the original price. She paid $48.75 for the coat. Write and solve an equation to determine the original price. Let p represent the original price. It's getting cold outside! The temperature dropped steadily at a rate of about 4 degrees every hour. If the temperature dropped a total of 22 degrees, how many hours have passed? Let h represent the number of hours
Answer:
$33.50 for coat, 5.5 hours
Step-by-step explanation:
For the coat, since it was on sale, then it would be $48.75-$15.25=p=$33.50.
If the temperature drops 4 degrees every hour, if t dropped 22 degrees, then you would do 22 divided by 4, to find out how many hours it had dropped for. 22 divided by 4=h=5.5 or 5 1/2.
What is the sum of 2x^2 and 2x^3
For this case we have the following expression:
[tex]2x ^ 2 + 2x ^ 3[/tex]
The terms are not similar, so they cannot be added.
Examples of similar terms:
[tex]x ^ 3 + x ^ 3 = 2x ^ 3\\3x ^ 4 + 2x ^ 4 = 5x ^ 4[/tex]
Then, the expression given can only be rewritten as:
[tex]2 (x ^ 2 + x ^ 3)[/tex]
This is taking common factor 2 to both terms.
Answer:
[tex]2 (x ^ 2 + x ^ 3)[/tex]