The relationship between the heights of the tree is the date tree is 3 times as tall as the lemon tree.
What does division mean?Division is the process of determining the quotient of two or more numbers. The sign used to denote division is ÷. Division is one of the basic mathematical operations.
What is the relationship between the trees?Height of the date tree / height of the lemon tree
3 x 8 /8 = 3
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PLEASE HELP MEE‼️‼️
Tell me which each 3 boxes should I pick for each one of them PLEASE READ them I beg (proportional relationships)
number one take the second
Learning Task 3 Answer the questions that follow. Put a check mark (/) on the space provided. Copy and answer in your math notebook. 1. The units for Volume are always ______squared _____cubed 2. Volume is the amount of space an object takes up. ___True ___False Calculate for the volume of solid. 3. Chona is selling Pringle Chips to raise money for a field trip. The container has a diameter of 9 inches and a height of 32 inches. 4. A 3-tier cake with the same height of 10 in and radius of 12 in, 8 in, 5 in respectively is to be delivered to a birthday party. How much space does this cake take up? Use 3.14 for π. 5. A Styrofoam model of a volcano is in the shape of a cone. The model has a circular base with a diameter of 48 centimeters and a height of 12 centimeters. Find the volume of foam in the model to the nearest tenth. Use 3.14 for π.
3. The volume of the Pringle Chips container is approximately 2034.72 cubic inches.
4. The cake takes up approximately 7317 cubic inches of space.
5. The volume of foam in the model of the volcano is approximately 7234.08 cubic centimeters.
1. The units for Volume are always cubed.
2. Volume is the amount of space an object takes up. True.
3. To calculate the volume of the Pringle Chips container, we need to find the volume of a cylinder. The formula for the volume of a cylinder is V = πr^2h, where π is a constant (approximately 3.14), r is the radius, and h is the height. Given that the diameter is 9 inches, the radius would be half of that, which is 4.5 inches. Substituting the values into the formula, we have:
V = 3.14 * (4.5)^2 * 32
V = 3.14 * 20.25 * 32
V ≈ 2034.72 cubic inches
4. To find the volume of the 3-tier cake, we need to find the volume of each tier separately and then add them together. Since all the tiers are cylinders, we can use the formula V = πr^2h.
Tier 1:
V1 = 3.14 * (12)^2 * 10 = 4521.6 cubic inches
Tier 2:
V2 = 3.14 * (8)^2 * 10 = 2010.4 cubic inches
Tier 3:
V3 = 3.14 * (5)^2 * 10 = 785 cubic inches
Total volume:
Total V = V1 + V2 + V3
Total V = 4521.6 + 2010.4 + 785
Total V ≈ 7317 cubic inches
5. To find the volume of the Styrofoam model of the volcano, we can use the formula for the volume of a cone, V = (1/3)πr^2h. Given that the diameter is 48 centimeters, the radius would be half of that, which is 24 centimeters. Substituting the values into the formula, we have:
V = (1/3) * 3.14 * (24)^2 * 12
V = (1/3) * 3.14 * 576 * 12
V ≈ 7234.08 cubic centimeters
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A light in a park can illuminate effectively up to a distance of 100 m. A point on a bike path is 150 m from the light. The sight line to the light makes an angle of 23° with the bike path. What length of the bike path, to the nearest metre, is effectively illuminated by the light?
The length of the bike path, to the nearest meter, is effectively illuminated by the light is 138 m
The missing diagram is attached with the answer.
What is Angle of elevation ?The angle formed between the horizontal line and line of sight is called Angle of Elevation.
It can be seen in the diagram that
It is a right angled triangle if extended and
cos 23 degree = (length of the bike path)/Hypotenuse
Hypotenuse here is the point on a bike path is 150 m from the light
Therefore
cos 23 ° = x / 150
x = 0.92 * 150
x = 138 m
Therefore The length of the bike path, to the nearest meter, is effectively illuminated by the light is 138 m.
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1. The Milky Way galaxy has about 500,000,000 stars. The Andromeda galaxy has about 1,000,000,000,000 stars. How many stars do the two galaxies have all together?
5 x 10^12 stars
1.0005 x 10^12 stars
5.1 x 10^8 stars
1.0005 x 10^8 stars
Answer:
The answer would be 1.0005 x 10^12
Or, 1,000,500,000,000
Step-by-step explanation:
You take the first number, 1.0005 then move the decimal to the right 12 times.
Add zeros the the empty spots. Then you get your answer.
Write the expression without using exponents.
(−9x)4
The expression (-9x)^4 can be represented as -6561x^3 without using exponents.
To express the expression (-9x)^4 without using exponents, we can expand it by multiplying the base (-9x) four times using the multiplication property.
(-9x)^4 = (-9x) * (-9x) * (-9x) * (-9x)
To simplify this expression, we can multiply the terms together, taking care to apply the rules of multiplication:
(-9x) * (-9x) = (-9 * -9) * (x * x) = 81 * x^2 = 81x^2
So, by substituting this result back into the original expression, we get:
(-9x)^4 = 81x^2 * (-9x) = -6561 x^3
Therefore, the expression (-9x)^4 can be represented as -6561x^3 without using exponents.
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What is the common difference in the arithmetic sequence 30, 27, 24, 21, 18, ...? a. -1 c. 3 b. -3 d. 30 Please select the best answer from the choices provided
Answer:
b. -3
Step-by-step explanation:
30 - 3 = 27
27 - 3 = 24
24 - 3 = 21....
Question 1 of 10
What is the x-intercept of the function graphed below?
The "x-interept" is the point where the graph crosses the x-axis.
From here, it looks like this graph crosses the x-axis where x=2 .
So the point is (2, 0) .
That's choice-A .
$14 meal; 20% tip
Pls Show Work
Answer:
2.8$
Step-by-step explanation:
14 x 20%
14 x 0.20 = 2.8
you will leave a 2.8$ tip
What is the value of the expression when a = 5 and b = 2?
2a+b−3
A. 6
B. 9
C. 11
D. 24
9
Step-by-step explanation:Hi there !
2a + b - 3 =
replace a = 5 ; b = 2
= 2(5) + 2 - 3
= 10 + 2 - 3
= 12 - 3
= 9
Good luck !
Answer: 9
2a and b - 3 = ?
a = 5 ; b = 2
2(5/a) + 2/b - 3
Now we solve this.
10 + 2/b - 3
Subtract 3.
12 - 3
The answer is 9.
solve it and show full calculus.
thank you!
Answer:
Hi
Please mark brainliest ❣️
Thanks
Step-by-step explanation:
The answer is NO
Reason
x= 2 y= 1
Now input in the first inequality
y≤ -x + 4
1 ≤ -2 +4
1≤ 2 i.e 1 is less than two
Next inequality
y≤ x +1
1 ≤ 2 + 1
1≤ 3 i.e 1 is less than 3
But 1 is not equal to 3 and also not equal to 2
Hence our answer is NO
What is the range of y = csc^-1(x) ?
Answer:
Top right option
[-pi/2,0) and (0,pi/2)
Step-by-step explanation:
Edge 2021
Can you please solve?
Answer:
19 and - 8
Step-by-step explanation:
( u ○ w )(3)
evaluate w(3) then substitute the value obtained into u(x)
w(3) = - 2(3)² = - 2(9) = - 2 × 9 = - 18 , then
u(- 18) = - (- 18) + 1 = 18 + 1 = 19
-----------------------------------------------
( w ○ u )(3)
evaluate u(3) then substitute the value obtained into w(x)
u(3) = - 3 + 1 = - 2 , then
w(- 2) = - 2(- 2)² = - 2(4) = - 2 × 5 = - 8
Please help i need help
Answer:
7040 yards is that
Step-by-step explanation:
I don't know
Answer:
Step-by-step explanation:
5 miles=8800 yards
1 mile=8800÷5=1760 yards
4 miles=1760×4=7040 yards
For a confidence level of 92%find the critical value for a normally distributed variable. The sample mean is normally distributed if the population standard deviation is known.
ANSWER:
1.751
STEP-BY-STEP EXPLANATION:
Since at the 92% confidence level:
\(\begin{gathered} \alpha=1-92\% \\ \\ \alpha=1-0.92=0.08 \\ \\ \frac{\alpha}{2}=\frac{0.08}{2}=0.04 \\ \\ Z_{\frac{\alpha}{2}}=Z_{0.04}=1.751 \end{gathered}\)So the correct answer is 1.751
Which is the graph of the function f(x) = 1/2x2 + 2x - 6?
Answer:i would need to see the graph but here is what i think you are talking about and it shows how to it popular- problems /Algebra/ 262080
Step-by-step explanation:
Answer: man i wish i knew
Step-by-step explanation:
Mr. Edwards has a total of 28 kids in his class. There are 6 more boys than there are girls. Write a system
of equations to model this and find the number of boys and the number of girls in the class.
Answer:
17 boys and 11 girls
Step-by-step explanation:
Create a system of equations where b is the number of boys and g is the number of girls:
b + g = 28
b = g + 6
Solve by substitution, by substituting the second equation into the first one:
b + g = 28
(g + 6) + g = 28
2g + 6 = 28
2g = 22
g = 11
So, there are 11 girls.
Since there are 6 more boys than girls, there are 17 boys.
So, there are 17 boys and 11 girls in the class.
Part of the graph of the function f(x) = (x – 1)(x + 7) is shown below.Which statements about the function are true? Select three options. Select three options.The vertex of the function is at (–4,–15). The vertex of the function is at (–3,–16). The graph is increasing on the interval x > –3. The graph is positive only on the intervals where x < –7 and where x > 1. The graph is negative on the interval x < –4.
The statements about the function that are true are
The vertex of the function is at (–3,–16). The graph is increasing on the interval x > –3. The graph is positive only on the intervals where x < –7 and where x > 1. How to interpret the graph?The equation of the graph is given as
f(x) = (x - 1)(x + 7)
The graph of the function is added as an attachment
On the graph, we have
Vertex = (-3, -16)
This is so because the graph has a minimum point of (-3, -16)
Also, the graph crosses the x-axis at x = 1 and x = -7
This means that the graph is positive at x >1 and x >-7
Because the vertex is a minimum, the graph is increasing at the left of its symmetry i.e. x > -3
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An army camp had a food provision of 35 days for 800 soldiers on the first day of the month. On
the same day, some of the soldiers were transferred to another camp. The food provision lasted for
50 days for the remaining soldiers. How many soldiers were transferred to the other camp?
(Assume that each soldier consumes equal quantity of food per day.)
240 soldiers were transferred to the other camp. Let's assume the number of soldiers transferred to the other camp is "x." we can solve for the unknown variable representing the number of soldiers transferred.
Initially, the food provision was planned for 800 soldiers for 35 days. This means that the total food supply is equal to 800 soldiers multiplied by 35 days, which gives us a total of 28,000 soldier-days of food.
After some soldiers were transferred, the remaining soldiers had enough food to last for 50 days. So the food supply for the remaining soldiers can be calculated as the product of the number of remaining soldiers and the number of days, which gives us (800 - x) * 50 soldier-days of food.
Since the amount of food remains the same, we can set up the following equation:
\(28,000 = (800 - x) * 50\)
Now, let's solve this equation to find the value of x, representing the number of soldiers transferred to the other camp:
\(28,000 = 50 * 800 - 50x28,000 = 40,000 - 50x50x = 40,000 - 28,00050x = 12,000x = 12,000 / 50x = 240\)
By setting up the equation based on the total food supply for the initial and remaining soldiers, we can solve for the unknown variable representing the number of soldiers transferred. In this case, 240 soldiers were transferred to the other camp.
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Solve the equation 14b^2 − 2 = −3b
Answer:
b = 2/7 or b = -1/2
Step-by-step explanation:
14b^2 - 2 = -3b
14b^2 + 3b - 2 = 0
14b^2 + 7b - 4b - 2 = 0
7b(2b + 1) -2(2b + 1) = 0
(7b - 2) (2b + 1) = 0
So, b = 2/7 or b = -1/2
What is the value of x for the triangle shown to the right?
Answer:
x = 6.24
Step-by-step explanation:
x =
Tan32° = OPP/ADJ
Tan32° = x/10
0.624 = x/10
cross-multiply
x = 6.24
Given a point A(-3,-14, it is dilated by some scale
factor to A' (-9,-3). If the same dilation is applied
to B(-1,-5), what are the coordinates of B'?
The question was rewritten because it has an obvious mistype.
Answer:
The coordinates of B' are (-3,-15)
Step-by-step explanation:
We are given the point A(-3,-1) and we know it was dilated to the point A'(-9,-3) by some scale factor.
The scale factor can be found by dividing each coordinate of A' by the same coordinate of A. Let's call the factor as k:
k = -9/(-3) = 3
k = -3/(-1) = 3
Thus the scale factor is 3.
If we apply the same factor to B(-1,-5), we get the coordinates of B' as:
B'( 3*(-1) , 3*(-5) ) = B'(-3,-15)
The coordinates of B' are (-3,-15)
Find value of x in this equation
Answer:
(2x+1)(3x-8)=
all you have to do is plug into calculator
Step-by-step explanation:
A human hair was measured to be 8.0•10-4 inch thick. A cat hair is measured to be 4.0•10^-1. How much greater is the thickness of the cat hair than the human hair? Writ this in standard form.
Whoever gets this right I will mark brainiest and 60 points!!
Answer:
500 times
Step-by-step explanation:
Divide the thickness of a cat hair by the thickness of a human hair.
4.0 × 10^-1 / 8.0 × 10^-4 =
= 0.5 × 10^3
= 500
500 times
"How do we transform System A into System B?
Equation [A1] → Equation [B1]
Equation [A2]→ Equation [B2]
Equation [A1]+Equation [A 2] → Equation [B 2]
Equation [A2]+ Equation [A 1] → Equation [B 1]"
The transformation of System A into System B is:
Equation [A2]+ Equation [A 1] → Equation [B 1]"
The correct answer choice is option D
How can we transform system A into System B ?To transform System A into System B as 1 × Equation [A2] + Equation [A1]→ Equation [B1] and 1 × Equation [A2] → Equation [B2].
System A:
-3x + 4y = -23 [A1]
7x - 2y = -5 [A2]
Multiply equation [A2] by 2
14x - 4y = -10
Add the equation to equation [A1]
14x - 4y = -10
-3x + 4y = -23 [A1]
11x = -33 [B1]
Multiply equation [A2] by 1
7x - 2y = -5 ....[B2]
So therefore, it can be deduced from the step by step explanation above that System A is ultimately transformed into System B as 1 × Equation [A2] + Equation [A1]→ Equation [B1] and 1 × Equation [A2] → Equation [B2].
The complete image is attached.
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What is $980.17 rounded to the nearest 10 dollars?
Answer:
$980
Step-by-step explanation:
Answer:
$980
Step-by-step explanation:
This is 980.17 the 17 is the decimal spot. what is 17 rounded to? for tens place it will be 0. The number line pushes the numbers in the tens from 10 to 49. If it gets to 50 then it goes up. however if it stays at 49 or lower the number goes down.
980 is the answer. Hope This Helps!
Cindy took a multiple choice test. The ratio of number of problems Cindy got incorrect to the number of problems she got correct was 2:6. If Cindy missed 14 problems, how many problems did Cindy get correct?
Answer:
42
Step-by-step explanation:
Divide 14/2 *6 to get your ratio.
Hope this helps!
:)
Answer:
42
Step-by-step explanation:
Divide 14/2 *6 to get your ratio.
salesperson earns $345 for selling $2300 in merchendice find the commison rate
Answer:
The commission rate is 15%
Step-by-step explanation:
commission = commission rate x sales
where the commission rate is expressed as a decimal.
In this case, the salesperson earned a commission of $345 for selling $2,300 in merchandise. Therefore, we have:
345 = commission rate x 2300
To solve for the commission rate, we can divide both sides by 2300:
commission rate = 345/2300
Simplifying this expression, we get:
commission rate = 0.15
So, the commission rate is 15%
Two othice desks that are
5 1/4 feet long are to be placed together on a wall that is 10 3/4 feet long Will they fit on the wall?
Select the correct choice below and if necessary, fill in the answer box to complete your choice.
A Yes, it no more than a total of foot is needed for spacing between desks.
(Type an integer or a simplified fraction)
OB. No, they do not all fit along the wall
Answer:
Yes, they fit along the wall. The space between desks is 1/4 of a foot.
Step-by-step explanation:
(2)*(5 1/4)
(2) * (21/4 = 42/4
10 3/4 = 43/4
43/4 - 42/4 = 1/4
The price of a pizza plus 12% delivery charge comes to a total cost of $17.92. What was the price of the pizza?
Answer:
i believe the answer is 14.93 dollars.
Step-by-step explanation:
Help please ty! (Middle School)
Answer:
it will be C
its 0.7 less than one