Answer:
D
Step-by-step explanation:
4*16=64
8*8=64
Answer:
D. 8
Step-by-step explanation:
8*8= 64 =4*16
christopher's square sandbox has 36 ft² of playing space. it was constructed using 4 boards. One of the sandbox sports needs to be replaced. what Link Board should Christopher's father cut to repair the side of the sandbox?
Answer:
6 feet
Step-by-step explanation:
The area of a square is:
a=s^2, where s is the side
We know the area is 36, so we can substitute that in
36=s^2
Take the square root of both sides
6=s
s= 6 feet
One side is 6 feet, so that is how long the board should be cut.
To calculate the height of a tree, Ryan measures the
angle of elevation from a rock on the ground to be 34°
He measures his distance from the rock on the ground
to the base of the tree to be 8 meters. How high is the
tree to the nearest tenth of a meter?
The height of the tree is 5.4 m
Step-by-step explanation:
Let the height of the tree be 'h'
Angle of elevation= 34°
distance from the rock on the ground
to the base of the tree = 8 m
we can use the tan function of trigonometry to find the height of the tree,
tan 34° = h/8
tan 34° = 0.67
tan 34° = h/8
0.67 = h/8
h = 8 x 0.67
h = 5.4m
The height of the tree is 5.4 m
The height of the tree to the nearest tenth of a meter is approximately 5.6 meters.
To calculate the height of the tree, we can use trigonometry, specifically the tangent function since we have the angle of elevation and the distance from the observer to the base of the tree.
Let's denote:
h as the height of the tree,d as the distance from the observer to the base of the tree.According to trigonometry,
[tex]\[ \tan(\text{angle of elevation}) = \frac{\text{height of the tree}}{\text{distance to the tree}} \][/tex]
Substituting the given values:
[tex]\[ \tan(34^\circ) = \frac{h}{8} \][/tex]
Now, let's solve for h:
h = 8 × tan(34°)
Using a calculator, we find:
h ≈ 8 × 0.6947
≈ 5.5576
Therefore, the height of the tree to the nearest tenth of a meter is approximately 5.6 meters.
helpp plzz!!! i dont understand
I = 7n + 50.
A- 6
B-8
C-10
D-12
We can substitute I with 120 since that's how much he made in one day.
120 = 7n + 50
~Subtract 50 to both sides
120 - 50 = 7n + 50 - 50
~Simplify
70 = 7n
~Divide 7 to both sides
70/7 = 7n/7
~Simplify
10 = n
Therefore, the saleman made 10 sales.
Best of Luck!
7. You have invested $2500 in a 30-day savings certificate paying 4.15% per annum. Find the
amount of the investment at the end of 30 days.
a) $2551.88
b) $2508.53
c) $2491.50
d) $2603.75
Answer:
B) $2508.53
Step-by-step explanation:
Please refer to the attached image for explanations
Which is greater, -6 or -5
-5 is greater than -6
i.e -5 > -6If m+2m+5=14,then m=
Answer:
m=7
Step-by-step explanation:
m +2+5=14
m+7=14
-7 -7
m=7
What is the measure of angle AEF?
Answer:
I beleive it is C I might be wrong.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
∠ BEF and ∠ CFE are alternate angles and congruent, thus
3x + 20 = 2x + 50 ( subtract 2x from both sides )
x + 20 = 50 ( subtract 20 from both sides )
x = 30
Thus
∠ CFE = 3x + 20 = 3(30) + 20 = 90 + 20 = 110°
∠ CFE and ∠ AEF are same- side interior angles and are supplementary, thus
∠ AEF = 180° - 110° = 70° → B
Sarah and Owen Hebert purchased 26 stamps, a mixture of 13 cents and 22 cents stamps. Find the number of each type of stamp if they spent $4.19.
Answer:
17 = 13 cent stamps
9 = 22 cent stamps
Step-by-step explanation:
Here is what we know:
a = 13 cent stamps
b = 22 cent stamps
Total stamps: 26
Total cost $4.19
Now we make equations based on what we know.
a + b = 26
13a + 22b = 419
Now we have to change the first equation so we can solve for the second. To do this, we have to find a similar factor for one of the variables. Let's change a.
Multiply the first equation by 13
13(a + b) = 13(26)
13a + 13b = 338
Now we put the two equations together and subtract. (Don't forget to change all the signs when you subtract)
13a + 22b = 419
- 13a - 13b = - 338
= 0 + 9b = 81
Solve for b.
9b = 81
b = 9
Plug b into the first equation to get a.
a + b = 26
a + 9 = 26
a = 17
17 = 13 cent stamps
9 = 22 cent stamps
You are done!
Hope this helped! :)
The number of each type of spend should be
17 = 13 cent stamps
9 = 22 cent stamps
Given that,
a = 13 cent stamps b = 22 cent stamps Total stamps: 26 Total cost $4.19Based on the above information, the calculation is as follows:
a + b = 26
13a + 22b = 419
Multiply the first equation by 13
13(a + b) = 13(26)
13a + 13b = 338
13a + 22b = 419
0 + 9b = 81
9b = 81
b = 9
Plug b into the first equation to get a.
a + b = 26
a + 9 = 26
a = 17
So,
17 = 13 cent stamps
9 = 22 cent stamps
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Select all the expressions that are equal to 1,024.
A. 4x4x4x4x4
B. 5x5x5x5
C. 4 to the 5th power
D. 5 to the 4th power
E. 2 to the 10th power
Answer:
A. 4X4X4X4X4
C. 4^5
E. 2^10
Step-by-step explanation:
Answer:
A C and E
Step-by-step explanation:
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If a coin is flipped 12 times in a row, what is the
probability of landing on heads every time?
A- 1/512
B- 1/4096
C- 1/1024
D- 1/2048
Answer:
b
Step-by-step explanation:
what do the 300 and 10 in the diagram represent
i need help fast plz
Answer:
Step-by-step explanation:
Do you have a picture of the diagram so I can see where the 300 and 10 are placed :D ?
The quadrilateral shown is a parallelogram. What is m angle B? A) 25 B) 55 C) 65 D) 115
I’ll give you best brainliest!!
The sum of the internal angle is 360 degrees. Then the measure of angle B is 115°.
What is a parallelogram?It is a polygon that has four sides. In a parallelogram, opposite sides are parallel and equal. And its diagonals intersect at mid-point.
The quadrilateral shown is a parallelogram. The angle A is 65°.
∠D and ∠B are equal because they are alternate angles.
∠A and ∠C are equal because they are alternate angles.
Then the sum of the internal angle is 360 degrees.
∠A + ∠B + ∠C + ∠D = 360
∠A + ∠B + ∠A + ∠B = 360
∠A + ∠B = 180
∠B = 180 - 65
∠B = 115
Thus, the measure of angle B is 115°.
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Does the product of (x - 1)(x + 1) result in a perfect square trinomial? Why or why not?
Answer:
No.
Step-by-step explanation:
When you distribute the two factors it would become a perfect square binomial because the -x and the x would cancel out leaving only x^2 -1, which is the difference of two squares.
Answer:
No because the when you distribute it out it would be (x^2 -1) which is not a perfect square trinomial equation. Also it cannot be a perfect square trinomial because one binomial has negative 1 and the other has positive 1 which indicates that it is not a perfect square.
Step-by-step explanation:
Parrots can develop cognitive issues as they get older. This may compromise their memory, ability to learn,
awareness, sight, and hearing. A researcher wishes to conduct a study to find which of two medicines,
Medicine A or Medicine B, is more effective in improving cognitive health. A total of 150 parrots that are at
least 12 years old will be randomly selected from sanctuaries around the United States. The researcher will
get consent from all owners, treat the parrots for 1 year, and evaluate changes in cognitive health.
Part A: How would the study benefit from adding a control group? (2 points)
Part B: What is the best way to randomly place the parrots into the Medicine A, Medicine B, and control
groups? (4 points)
Part C: The researcher wants to use a blocking variable to place the parrots into groups instead of doing it randomly. He decides to block either by breed or sanctuary. Explain which would be the best blocking
method. (4 points)
Part A:
This would aid throughout the comparison, since it could be used to examine the consequences of the medicines on some kind of collection of parrots, as well as the lack of either treatment.
Part B:
"Random sampling" would be the best way to randomly place the parrots.
Part C:
The best blocking method would be "Breed".
Therefore we know that a blocking variable should be consistent and unchangeable. The parrots in some kind of a sanctuary might fluctuate in breed as well as quantity, and certain other considerations like as upkeep by the government may have an impact somewhere on parrots' circumstances.Thus the response above is correct.
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A control group is beneficial as a comparison reference to isolate the effects of the treatments. Parrots should be randomly assigned to avoid selection bias. Blocking by parrot breed would likely be more effective than by sanctuary, because breed potentially has a greater influence on cognitive health.
Explanation:Part A: Control Group
The inclusion of a control group provides a reference point for comparison and helps to identify the effects of the medicines by isolating other variables. Without a control group, it would be challenging to discern whether the observed improvements in the parrots' cognitive health were solely due to the medicines or external factors.
Part B: Random Placement
The best way to randomly place the parrots into the three groups is by using a random number generator or similar method to ensure equal and unbiased chance of being allocated to any group. This would mitigate any potential bias and ensure the findings are due to the effect of the Medicines and not the selection process.
Part C: Blocking Method
Blocking by breed might be more beneficial as biological differences among breeds could influence cognitive health and the response to medication. Blocking by sanctuary would be less ideal as cognitive health could be influenced by a variety of situational factors, such as diet and care, which could introduce bias in the results.
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Help! Will give brainliest and 5 stars rating and thanks
solve:
l -4 +2x l -3 > 9
Please note that l and l is inequalities signs
Solve and graph (graphing on number line is optional)
Answer:
x < -4 or x > 8
On a number line, make two arrows:
1) going towards left from -4 with an open circle at -4
2) going towards right from 8 with an open circle at 8
Step-by-step explanation:
l -4 +2x l -3 > 9
l -4 +2x l > 12
l 2x - 4 l > 12
2x - 4 > 12
2x > 16
x > 8
-2x + 4 > 12
-2x > 8
x < -4
On a number line, make two arrows:
1) going towards left from -4 with an open circle at -4
2) going towards right from 8 with an open circle at 8
Answer:
see below
Step-by-step explanation:
l -4 +2x l -3 > 9
Add 3 to each side
l -4 +2x l -3+3 > 9+3
l -4 +2x l > 12
We Separate into two inequalities, remembering to flip the negative inequality
-4+2x>12 or -4+2x<-12
Add 4 to each side
-4+4+2x>12+4 or -4+4+2x<-12 +4
2x> 16 or 2x< -8
Divide each side by 2
2x/2 > 16/2 or 2x/2 < -8/2
x > 8 or x < -4
To graph we have open circles at 8 going to the right and at -4 going to the left
Divide.
0.45 ÷ 105
A) 0.00045
B) 0.000045
C) 0.0000045
D) 0.00000045
Answer:
0.00045 (A)
Step-by-step explanation:
Answer:
A) 0.00045
Step-by-step explanation:
Find the slope of the line that passes through (-46, -41) and (-11, -8).
Look at the attached picture⤴
Hope it will help u..
A pillow that usually costs $18 is marked down 25%. Use the table to find the pillow’s new price.
Fill in the missing amounts to solve the problem.
100 percent is an 18 dollar original price, 25 percent markdown is a, and new price is B
a =
b =
Answer:
a=4.25
b=13.5
Step-by-step explanation:
so basically you just multiply 18 x 0.25 and you get 4.25 then you subtract that from 18
Answer:
4.50 ,13.50
Step-by-step explanation:
ik i hate edgunity too
8. Gravity is a force of attraction between objects based on their mass and their distance apart.
Why aren't other objects, like your pencil, being pulled towards you?
Answer:
Our mass is not great enough to have enough pull to actually move the pencil.
Objects like a pencil aren't noticeably pulled towards you because the gravitational force between objects with relatively small masses, like you and the pencil, is very weak compared to the Earth's gravitational pull.
The reason why other objects, like your pencil, aren't being pulled towards you is due to the relative mass of the objects and the distance between them.
Although every object with mass exerts a gravitational force on other mass objects, this force is extremely weak unless at least one of the objects is very massive, like Earth.
According to Newton's universal law of gravitation, the force between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.
Given that both you and the pencil have relatively small masses, the gravitational attraction between you is minuscule compared to the gravitational pull of the Earth, which is why the pencil falls to the floor when dropped instead of being pulled towards you.
Solve the equation.
- 2(x + 1) + 3x = 12
X=
Answer:
x= 14
Step-by-step explanation:
Answer:
X= 14
Step-by-step explanation:
-2X-2+3x=12
-2x-2+3x=12
x-2=12
x=12+2
x=14
What is one example of an odd trigonometric function? Explain.
Answer:
[tex]sin(-x)[/tex]
Step-by-step explanation:
Odd functions follow the relation of
[tex]f(-x)=-f(x)[/tex]
Lets check for the most trivial value, does
[tex]sin(-0) = -sin(0)[/tex]
Well these values both equal 0, so this is correct!
What about another value?
[tex]sin(- \frac{\pi}{2})=-1\\-sin(\frac{\pi}{2})=-1[/tex]
In-fact this is strictly defined for all values of sin. Meaning that this is an odd function.
The example of an odd trigonometric function is sin(-x).
What is an odd trigonometric function?All functions that involved trig functions could be even, odd, or not. A function could be odd if f(-x) = - f(x)
So, for sin, it is
sin (-0) = -sin(0)
Since these values both equal 0, so this is right
So, here sine be the odd function and cos is an even function.
Therefore, The example of an odd trigonometric function is sin(-x).
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If angle A measures 50°, then what is the measure of angle C?
Answer:
Step-by-step explanation:
100
What is the answer to this
An interior angle and an adjacent exterior angle of a polygon form a linear pair.
How can you use this fact as another method to find the measure of each exterior
angle in Example 6?
Answer:
30°
Step-by-step explanation:
Interior angle + exterior angle = 180
Because they form a linear pair.
Exterior angle = 180 - interior angle
= 180 - 150
= 30°
The measure of each exterior angle is 30°.
What are Alternate Interior Angles?Alternate Interior Angles are defined as the pair of angles created on the inner side of the parallel lines and on the opposite sides of the transversal when two parallel lines are intersected by a transversal are referred to as alternate internal angles. These angles are always equal.
Given that the measure of each Interior angle is 150°
We have to determine the measure of each exterior
Since an interior angle and an adjacent exterior angle of a polygon form a linear pair.
Therefore, the sum of the Interior angle and exterior angle adds up to 180°.
So Exterior angle = 180 - interior angle
⇒ Exterior angle = 180 - 150
⇒ Exterior angle = 30°
Hence, the measure of each exterior angle is 30°.
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Factor x^2 + 5x + 4 = 0
Answer:
Step-by-step explanation:
x² + 5x + 4 =0
Product =4
Sum = 5
So, factors = 4*1
x² + 1x + 4x + 4*1 = 0
x*(x + 1) + 4*(x + 1) = 0
(x + 1)(x + 4) = 0
I need help understanding this please ASAP!!!
Answer:
13
Step-by-step explanation:
To get the hypotenuse (the longest side) you would use the Pythagorean Theorem ([tex]a^{2} + b^{2} = c^{2}[/tex])
Replace a and b with the two given sides and solve for c
[tex]5^{2} + 12^{2} = c^{2}[/tex]
25 + 144 = [tex]c^{2}[/tex]
169 = [tex]c^{2}[/tex]
Find the square root of both sides
[tex]\sqrt{169} = \sqrt{c^{2}}[/tex]
13 = c
A mirror has a diameter of 14 inches what is the radius and unit of measure
Answer:
The radius is 7 inches
Step-by-step explanation: The radius is half of the diameter and the unit of measure is inches. Unit of measurement includes inches, centimetres, meters, kilometres, etc.
Rewrite the expression using only positive integer exponents.
The value of the expression is [tex]\frac{m^4}{n^2}[/tex].
Option A is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
[tex](m^{2/3}n^{-1/3})^6[/tex]
This can be simplified as,
[tex]m^{2/3 \times6}[/tex] x [tex]n^{-1/3 \times 6}[/tex]
=[tex]m^{2\times2}[/tex] x [tex]n^{-1 \times2}[/tex]
= [tex]m^4[/tex][tex]n^{-2}[/tex]
= [tex]\frac{m^4}{n^2}[/tex]
Thus,
The value is [tex]\frac{m^4}{n^2}[/tex].
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To rewrite an expression using only positive integer exponents, apply the rules of exponentiation and simplify the expression.
Explanation:To rewrite an expression using only positive integer exponents, you can apply the rules of exponentiation. For example, if you have an expression like [tex]a^{-2}[/tex], you can rewrite it as [tex]\frac{1}{a^{2} }[/tex]
. Similarly, if you have a term with a negative exponent in the denominator, you can move it to the numerator and change the sign of the exponent to make it positive.
Here's a step-by-step example:
Start with the original expression. If there are negative exponents present, move them to the numerator or denominator as needed.Change the sign of the exponent to make it positive.Simplify the expression if possible.By following these steps, you can rewrite expressions using positive integer exponents.
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What is the solution to the equation -4(2x+3) - 2x + 1-(8x + 2)?
30:00 HELP PLEASE 95 pOINTS
Answer:
-18x -13
Step-by-step explanation:
-4(2x+3) - 2x + 1-(8x + 2)
We cannot solve since there is no equals, but we can simplify
Distribute
-8x -12 -2x +1 -8x -2
Combine like terms
-8x-2x -8x -12 +1 -2
-18x -13
Answer:
-8x - 13
Step-by-step explanation:
-4(2x + 3) - 2x + 1 - (8x + 2)
-8x - 12 - 2x + 1 - 8x - 2
-18x - 13