Answer:
2/3 cups
Step-by-step explanation:
Using unitary method we get the ans as 2/3.
chris types 350 words in 4 minutes. Which equation can be used to find w, the number of words chris can type in 20 minutes if he continues to type at the same speed rate?
Answer:
Chris will type 7,000 words in 20 minutes. You can use 350 x 20 to find your answer.
Step-by-step explanation:
Find the dimensions of the rectangular garden of greatest area that can be fenced off (all four sides) with 300 meters of fencing.
The dimensions of the rectangular garden to maximize the area is length = width = 75 meters.
Let l be the length and w be the width of the rectangular garden.
We need to find the dimensions of the rectangular garden of greatest area that can be fenced off (all four sides) with 300 meters of fencing.
The perimeter of the rectangular garden = 300 meters
We know that the perimeter of the rectangle =2(length + width)
300 = 2(l + w)
l + w = 150 .......(1)
Now, the maximum area of a rectangular garden is when Length = width
So, for equation 1
l + l = 150
l = 75 meters
So, w = 75 meters
And the area of the rectangular garden = length * width
= 75 * 75
= 5625 m²
So the maximum area of the rectangular garden is 5625 m²
Therefore, the dimensions of the garden to maximize the area is length = width = 75 meters and maximum area is 5625 m²
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simplify using order of operations
5.3-6.3+5²
IT SHOULD BE 24 IF NOT IM SRRY
Answer:
5.3−6.3+52
=−1+52
=−1+25
=24
Which of the scenarios below are considered seller-based discounts? options are in the picture
The scenarios that can be considered a seller-based discount are:
A. The offer by Wire and Cable
B. Carfna's Fine Foods
C. Mouser Electronics offer
E. Carchex Car Maintenance
What is a seller-based discount?A seller-based discount is a discount that is offered by a seller for the early purchase of a product. The goal of the seller in this case is to get cash as he or she is in an immediate need for cash.
The most outstanding example is that of Carchex Car Maintenance where an offer is made by the seller for the early purchase of products.
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An object attached to a coiled spring is pulled down 5 centimeters from its rest position and released. If the motion is simple harmonic in nature, with a period of pi seconds, answer the following questions.
A. what is the maximum displacement form equilibrium of the object?
B. what is the time required for one oscillation?
C. what is the frequency?
D.write an equation to model the motion of the object.
The maximum displacement is 5 centimeters.
The time required for one oscillation is π seconds.
The frequency is 1 / π Hz.
Equation to model the motion of the object is x(t) = 5 × cos(2t)
The maximum displacement from equilibrium can be determined by observing that the object is pulled down 5 centimeters from its rest position.
In simple harmonic motion, the amplitude represents the maximum displacement from equilibrium.
The period of oscillation is given as π seconds.
The period (T) is the time required for one complete oscillation.
The frequency (f) is the reciprocal of the period and represents the number of oscillations per unit time.
Thus, the frequency is the inverse of the period: f = 1 / T.
To model the motion of the object, we can use the equation for simple harmonic motion:
x(t) = A×cos(ωt + φ)
A = 5 centimeters (maximum displacement),
T = π seconds (period),
f = 1 / π Hz (frequency).
To find ω, we can use the relation ω = 2π / T:
ω = 2π / π = 2 radians/second.
The equation to model the motion of the object is:
x(t) = 5 × cos(2t)
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How many 1/2 cup servings are in 1/3 cup of apple juice
Answer:
1/3
Step-by-step explanation:
Answer:
1/2 % 1/3 = 3/2 or 1 1/2 cups of 1/3 are equal to 1/2 cup. Therefore, one and a half 1/3 cups are equal to 1/2 cups.
Step-by-step explanation:
i do not get this so please explain what it means
Answer:
Huh?
Step-by-step explanation:
I do not see anything.
Caculate.
2 1/4÷(3/8÷1/2)
let's firstly convert the mixed fraction to improper fraction and proceed from there.
\(\stackrel{mixed}{2\frac{1}{4}}\implies \cfrac{2\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{9}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{9}{4}\div \left(\cfrac{3}{8}\div \cfrac{1}{2} \right)\implies \cfrac{9}{4}\div \left(\cfrac{3}{8}\cdot \cfrac{2}{1} \right)\implies \cfrac{9}{4}\div \left(\cfrac{3}{4} \right) \\\\\\ \cfrac{9}{4}\cdot \left(\cfrac{4}{3} \right)\implies \cfrac{9}{3}\cdot \cfrac{4}{4}\implies 3\cdot 1\implies \text{\LARGE 3}\)
PLEASE HELP ME WITH MY WORK “A function is graphed below. On which interval of a is the average rate of change of the function the greatest?”
The required greatest rate of change is at x = 7 to x = 10. Option A is correct.
Given that,
The function is graphed. On which interval of a is the average rate of change of the function the greatest is to be determined.
Rate of change is defined as the change in value with rest to the time is called rate of change.
Here,
The average rate for,
x = 7 tot x = 10
Rate = 56 - 8 / 10 -7
Rate = 16
While the other pair has an average rate of 4, 4.46
Thus, the required greatest rate of change is at x = 7 to x = 10. Option A is correct.
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Y’all What time is this?
Answer:
7:55
Step-by-step explanation:
Simplify 3.5+2.25 +0.75 -6 x 1/8
A. 0.375
B. 5.75
C. 7
D. 0.20833...
Find the prime factorization of 1,148 using a factor tree
Answer:
Prime Factors of 1148 = 2, 2, 7, 41
Which is the same as = 2² x 7 x 41
The impact of two inputs on the output of interest is given by a
A. Goal Seek
B. Watch Window
C. one-way data table
D. two-way data table
Answer:
A this is the answer, please choose this answer
f(x)=3^x+1 and g(x) = 2x-4, find f(2) - g(-1)
Answer:
16
Step-by-step explanation:
3^x +1 = f(X)
2x-4 = g(x)
find f(2)-g(-1)
we substitute in function f(X) by value (2), and in function g(X) by value (-1)
1. 3^x +1 becomes 3^2+1 =9+1=10
2. 2(-1)-4= -2-4=-6
then f(2)-g(-1)
= 10-(-6) =10+6=16
What is the surface area of the image below I’ll give b brainliest
Answer: it's 300cm, hope this helps
Find the interquartile range for the data set. 11, 5, 16, 20, 31, 27, 9, 15, 26
Mr. Perez ask Monica to measure the dimensions of the aquarium to see whether it could fit on the table S applied Michael measured the aquarium's left hand with angle at 96CM and 60CM respectively what is the area of the base of the aquarium
Therefore, the area of the base of the aquarium is 5760 square centimeters.
What is area?Area is a measure of the amount of space inside a two-dimensional (2D) shape or figure. It is usually measured in square units, such as square meters (m²) or square centimeters (cm²). The area of a shape is calculated by multiplying the length of one side or dimension of the shape by the length of another side or dimension. The resulting value represents the total number of square units that are contained within the shape. Area is an important concept in mathematics and is used in various fields, such as geometry, physics, and engineering. It helps in measuring and comparing the sizes of shapes and figures, and in determining how much material is needed to cover or fill a certain area.
Here,
The area of the base can be calculated using the dimensions of the aquarium.
Let's assume that the aquarium has a rectangular base with length L, width W, and height H. Then, the area of the base of the aquarium can be calculated as:
Area of base = Length x Width = L x W
If Monica measured the length and width of the base, we can use those measurements to calculate the area of the base. If not, we'll need to make additional assumptions or measurements.
Assuming we have the length and width of the base, we can calculate the area as follows:
Area of base = Length x Width
Area of base = 96 cm x 60 cm
Area of base = 5760 cm²
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true/false.
____1.When the non-Standard unit used is small few unit's are
needed to fill a container when the non-standard the non-standard units used is bigger more units are needed to fill the container.
____2.Objects with shape can have the same volume.
____3. To find the volume of rectangular prism multiply the length,width and height.
_____4. Volume is measured in square unit's.
_____5. the amount of space inside an object is called the volume of the object.
____6. The volume of a rectangular prism is equal to the product of its length, width, and height V = 1xwxh cubic units.
____7. Standard units give a consistant and accurate measure of a container.
____8. Non-Standard units cannot be used to measure volume.
____9. Volume is measured in cubic units, such as cubic centimeters.
1. It is false that when non-Standard unit used is small few unit's are
needed .
2. Objects with different shapes can have the same volume. True
3. Length, width and height and multiplied to find volume of a rectangular prism. True
4. It is false that volume is measured in square unit.
5. It is true that Volume is a measure of the amount of space inside an object.
6. The formula for volume of a rectangular prism is V = l × w × h. True
7. It is true that Standard units give a consistent and accurate measure of a container.
8. It is false that Non-Standard units cannot be used to measure volume.
9. Volume is measured in cubic units. True
What is volume of an object?Volume can be defined as the amount of space inside and object. the object can be in different form such as cone, rectangular prism, cylinder and many other shapes. Even though shapes are different, It is possible for different shapes or objects to have the same volume when measure.
Measurement of volume can be through standard measurement and non standard measurements such as a cup of rice. However, for consistency and the sake of accuracy, it is advisable to always use standard measurements of volume where possible to avoid error that may occur in non standard measurement. The acceptable and recognized unit of volume is cubic meter (\(m^3\)).
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pls help me rn i really need help i will give 10 points
A semicircle of diameter 1 sits at the top of a semicircle of diameter 2, as shown. The shaded area inside the smaller semicircle and outside the larger semicircle is called a lune. Determine the area of this lune.
a. π/6 - √3/4
b. √3/4 - π/12
c. √3/4 - π/24
d. √3/4 + π/24
e. √3/4 + π/12
The required area of the lune is (D) √3/4 - π/24.
What is the area?The measurement that expresses the size of a region on a flat or curved surface is termed area.
Surface refers to the area of a surface or the boundary of a tri structure, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.
So,
The lune's area is equal to the smaller semicircle's area minus the segment's area.
The area of the segment is equal to the sum of the areas of the sector and the triangle formed by the intersection points and the larger semicircle's center.
Additionally, because all of the sides are one unit, the triangle thus constructed is an equilateral triangle.
Area of the lune = π * 1/8 (60/360 * π * 1² - √3/4 * 1²)
Area of the lune = π/8 - π/6 + √3/4
= √3/4 - π/24
Therefore, the required area of the lune is (D) √3/4 - π/24.
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What is the equation of the line, in slope-intercept form, that passes through the
points (-2, -2) and
and (4, — 3)?
Answer:
y = \(\frac{-1}{6}\)x - \(\frac{7}{3}\)
Step-by-step explanation:
1. Find the slope -3- -2 / 4 - -2 so -3+2/4+2, -1/6 so m = -1/6
2. Find y intercept (b) y = mx + b so -2 = -1/6(-2) + b, -2 = 1/3 + b
b = -2-1/3, b = -6/3 - 1/3, so b = -7/3
3. Put it all together y = mx + b so y = -1/6x -7/3
Help me please if you can
Answer:
the answer to your question is 37.
Step-by-step explanation:
all you need to do is add up all of the sides
Ill mark it brainlist! Find the surface area of a square pyramid with base edges of 8 feet. The height of each lateral face is 9 feet. Explain or show how you got your answer.
Answer:
area is multiplying
so the first face multiple 8×9 and do it list rest of them
after got all of them add up it and u will get your answer
I hope it's correct and that's how I learned it in my school
I really need brainlist , my teacher gave us this app so the highest person with brainlist wins .
pls
Answer:
The answer is 208.
base edge x base edge = 8 x 8 = 64
bse edge x lateral face = 8 x 9 = 72
72 x 2 = 144
144 + 64 208
State the axis of symmetry and explain how to find it.
Answer:
X=1
Step-by-step explanation:
the centre of the quadratic lies at (1,-3)
A puppy’s weight increased from 12 pounds to 15 pounds. By what percentage did the puppy’s weight increase?
=======================================================
Work Shown:
A = old value = 12 pounds
B = new value = 15 pounds
C = percent change
C = [ (B-A)/A ] * 100%
C = [ (15-12)/12 ] * 100%
C = (3/12)*100%
C = 0.25*100%
C = 25%
The positive C value indicates a percent increase
So effectively, we find the difference or change in weight (B-A) and divide it over the original weight (A). That leads to 0.25 which converts to 25%
Note that,
25% of 12 = 0.25*12 = 3
This says that the puppy gained 3 pounds, which is the value of B-A
Since the puppy gained 3 pounds, the new weight is 12+3 = 15 pounds
-----------
As an alternative, we could divide the two values B over A to find that
B/A = 15/12 = 1.25
Then subtract 1 from this result: 1.25 - 1 = 0.25 = 25%
The age of a father is three times that of his son, but six years ago, the sum of their ages was 45. What is the present age of the son?
Answer: Let's call the present age of the son x and the present age of the father y.
We know that y = 3x and that six years ago, the sum of their ages was 45.
So, we can write the equation:
x + (y-6) = 45
x + (3x-6) = 45
4x = 51
x = 12.75
The present age of the son is 12.75 years.
Step-by-step explanation:
what is the raito 40 to 18
Answer:
20:9
Step-by-step explanation:
Here we will simplify the ratio to 40:18 for you and show you how we did it.
To simplify the ratio 40:18, we find the greatest common divisor of 40 and 18, and then we divide 40 and 18 by the greatest common divisor.
The greatest common divisor that you can use to simplify 40:18 is 2. This means the answer to ratio 40:18 simplified is:
20:9
POR FAVOR AYUDA ES SOBRE GEOMETRIA
By observing the graphs, the equation of each line include the following:
a. y = 0.4x - 0.2
b. y = -x + 2
c. y = 4x - 2
d. y = 0.5x
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.Part a.
First of all, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (1 - 0)/(3 - 0.5)
Slope (m) = 1/2.5
Slope (m) = 0.4
At data point (0.5, 0) and a slope of 0.4, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 0 = 0.4(x - 0.5)
y = 0.4x - 0.2
Part b.
We would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (-2 - 2)/(4 - 0)
Slope (m) = -4/4
Slope (m) = -1
At data point (0, 2) and a slope of -1, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 2 = -1(x - 0)
y = -x + 2
Part c.
We would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (-2 - 2)/(0 - 1)
Slope (m) = -4/-1
Slope (m) = 4
At data point (0, -2) and a slope of 4, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y + 2 = 4(x - 0)
y = 4x - 2
Part d.
Since the line passes through the origin (0, 0), it represents a proportional relationship;
y = kx
k = y/x
k = 2.5/5
k = 0.5
Therefore, the equation of this line is given by;
y = 0.5x
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Complete Question:
Observe the graphs and write in your notebook the equation of each line.
Simplify the expression:
2+1d+3a=4
Answer:
d=2-3a
Step-by-step explanation:
Solve for d by simplifying both sides of the equation, then isolating the variable.
3d+3a=4
Subtract 3 from each side of the equal sign:
d+3a=1
Subtract 3a-1:
d=2-3a
Hence d=2-3a is your final answer
Answer:
d = 2 - 3a
a = -d+2/3
Step-by-step explanation:
i didnt know which one u wanted to slove for but here are the answers and putting both equations would take to long so yea
lmk if this helped
x³ + 6x -7= 0 là phương trình
Answer:
\(\huge\boxed{\bf\:x = 1}\)
Step-by-step explanation:
\(x ^ { 3 } +6x-7=0\)
By using the rational root theorem, all rational roots of a polynomial are in the form p/q, where p divides the constant term -7 & q divides the leading coefficient, 1. Now, let's list out all the possible candidates for p/q by following this theorem.
\((+/-)7, (+/-)1\)
Now, let's substitute the value of x as these integers. By using the trial & error method, we can see that..
\(x = 1\)
This means that 1 factor of the above equation will be:
\(x = 1\\\Longrightarrow\:x - 1 = 0\)
So, by using the Factor theorem, we know that, x - k will be the factor of the polynomial for each root k. Now, divide x³ + 6x - 7 by x - 1. We'll the value as:
\(\frac{x^{3} + 6x - 7}{x - 1}\\\Longrightarrow \: x^{2}+x+7=0\)
We now have a quadratic equation with us. By using the biquadratic formula: -b ± √b² - 4ac / 2a, where,
a = 1b = 1 c = 7So,
\(x=\frac{-1(+/-)\sqrt{1^{2}-4\times 1\times 7}}{2} \\x=\frac{-1(+/-)\sqrt{-27}}{2}\)
Here, we can see that,
\(x\in \emptyset\)
Then, by listing out the solutions that we found, the value of x will be:
\(\boxed{\bf\:x = 1}\)
\(\rule{150}{2}\)
Answer:(x-1) *(x^2 + x + 7)
Step-by-step explanation:
1. rewrite
2. factor the expression