Answer:
1-32%
2-33.33%
3-150%
4-80%
5-20%
6-75%
Step-by-step explanation:
The strength of a rectangular beam varies
directly as the square of it depth. If the strength
of a beam 10 inches deep is 3600 pounds per
square inch, what is the strength of a beam four
six inches deep?
Answer:
1296 pounds per square inchStep-by-step explanation:
Direct variation equation:
y = kxIn this case it is:
y = kx², where y- strength, x- depth of the beam, k- coefficientSubstitute the given values and solve for k:
3600 = k*10²3600 = 100kk = 3600/100k = 36The equation becomes:
y = 36x²Now, find the value of y, when x is 6:
y = 36*6² = 1296Note, I took the depth as 6 inches but the question is a bit confusing by saying "four six inches". If it is 4 inches then your answer will be:
y = 36*4² = 576he has 20 cucumbers and 48 carrots. he wants to divide the food evenly with nothing left over. what is the greatest number of vegetable plates joseph can prepare?
Answer: Joseph can prepare 4 vegetable plates with the given amount of cucumbers and carrots.
Step-by-step explanation:
To divide the cucumbers and carrots evenly with nothing left over, we need to find the greatest common factor (GCF) of 20 and 48.
One way to find the GCF is to list the factors of each number and find the largest factor they have in common. The factors of 20 are 1, 2, 4, 5, 10, and 20. The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48. The largest factor they have in common is 4.
Therefore, we can divide both the cucumbers and carrots into groups of 4. Each group will have 5 cucumbers and 12 carrots.
To find the total number of vegetable plates Joseph can prepare, we need to divide the total number of cucumbers and carrots by the number of vegetables in each plate.
The number of plates = (total number of cucumbers + total number of carrots) / (number of cucumbers + number of carrots in each plate)
The total number of cucumbers is 20, and the total number of carrots is 48. The number of cucumbers and carrots in each plate is 5 + 12 = 17.
Number of plates = (20 + 48) / 17 = 4
Therefore, Joseph can prepare 4 vegetable plates with the given amount of cucumbers and carrots.
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Brainliest question please help me answer my question please
Answer:
Step-by-step explanation:
The area for a trapezoid is
\(A=\frac{1}{2}h(b_{1}+b_{2})\)
h is the length of ST, one of the bases is the length of MK, and the other base is the length of AS. First we'll find h:
The coordinates for S are (0, -2) and T are (1, 2). Using the distance formula:
\(d=\sqrt{(1-0)^2+(2-(-2))^2\) and
\(d=\sqrt{17}\). So h = √17
Now for the length of MK. The coordinates for M are (-7, 4) and for K (5, 1). Using the distance formula again:
\(d=\sqrt{(-7-5)^2+(4-1)^2}\) and
\(d=\sqrt{(-12)^2+(3)^2}\) so
\(d=\sqrt{153}\) which simplifies to
\(d=3\sqrt{17}\). So MK = 3√17.
Now for the length of AS. The coordinates for A: (-4, -1) and for S: (0, -2). Using the distance formula one more time:
\(d=\sqrt{(-4-0)^2+(-1-(-2))^2}\) and
\(d=\sqrt{(-4)^2+(1)^2}\) and
\(d=\sqrt{17}\). So AS = √17.
Now we can fill in our area formula:
\(A=\frac{1}{2}(\sqrt{17})(3\sqrt{17}+\sqrt{17})\)
Simplifying a bit:
\(A=\frac{1}{2}(\sqrt{17})(4\sqrt{17})\) and simplifying a bit more:
\(A=\frac{4*17}{2}\) and
A = 34
The following information should be taken into consideration to answer this item: If the scores of 400 subjects in a psychological scale have been distributed normally with the mean score of 100 and standard deviation of 15: The Z score that equivalent to the raw score 92.5 is.... A.+ 0.5 B. -1.25 C.-0.5 D.-0.25
The Z score that is equivalent to the raw score 92.5 is B. -1.25.
A Z score represents the number of standard deviations a raw score is from the mean in a normal distribution. To calculate the Z score, we use the formula: Z = (X - μ) / σ, where X is the raw score, μ is the mean, and σ is the standard deviation.
Given that the mean score is 100 and the standard deviation is 15, we can calculate the Z score for the raw score 92.5 as follows:
Z = (92.5 - 100) / 15
Z = -7.5 / 15
Z = -0.5
Therefore, the Z score that is equivalent to the raw score 92.5 is -0.5.
The Z score is a useful measure in statistics that allows us to standardize and compare data points across different distributions. It helps us understand the relative position of a data point within a distribution and determine how unusual or typical that data point is compared to others. By calculating the Z score, we can easily determine the percentage of data points that fall below or above a particular value in a normal distribution, which aids in making statistical inferences and drawing conclusions.
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A tennis player hits a ball 3 feet above the ground with a velocity of 60 ft/sec. After how many seconds will the ball be at a height of 3 feet again?
Answer:
The ball will be at a height of 3 feet above the ground after 3.729 seconds.
Step-by-step explanation:
Let suppose that the tennis player has hit the ball vertically, meaning that ball will experiment a free fall, that is, an uniform accelerated motion due to gravity. The time taken by the ball in terms of its initial velocity (\(v_{o}\)), in feet per second, initial position (\(x_{o}\)), in feet, final position (\(x\)), in feet, and gravitational acceleration (\(g\)), in feet per square second is described by this second order polynomial:
\(x = x_{o} + v_{o}\cdot t + \frac{1}{2}\cdot g\cdot t^{2}\) (1)
If we know that \(x_{o} = x = 3\,ft\), \(v_{o} = 60\,\frac{ft}{s}\) and \(g = -32.174\,\frac{ft}{s^{2}}\), then the time needed by the ball to be at a height of 3 feet again is:
\(3\,ft = 3\,ft + \left(60\,\frac{ft}{s} \right)\cdot t + \frac{1}{2}\cdot \left(-32.174\,\frac{ft}{s^{2}} \right)\cdot t^{2}\)
\(-16.087\cdot t^{2}+60\cdot t = 0\) (2)
\(t^{2} - 3.729\cdot t = 0\)
\(t \cdot (t -3.729) = 0\)
The binomial contains the time when the ball will be at a height of 3 feet again. In other words, the ball will be at a height of 3 feet above the ground after 3.729 seconds.
Someone help me out pls
how to send kred to a krew member
To send Kred to a Krew member, you can follow the steps provided by the Kred platform. These steps typically involve accessing your Kred account, selecting the desired recipient, specifying the amount of Kred to send, and confirming the transaction.
Sending Kred to a Krew member usually requires using the features and functionalities provided by the specific Kred platform or service. The process may vary depending on the platform, so it is recommended to refer to the official documentation or guidelines provided by the platform. Typically, you would need to log in to your Kred account, navigate to the appropriate section for sending Kred, select the intended recipient from the list of Krew members, enter the desired amount of Kred to send, review the transaction details, and confirm the transfer. The platform may also offer additional options or settings for customizing the transfer process.
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Solve for x using
cross multiplication
2x + 1 = x+5
2x + 1
3
x = [?]
Step-by-step explanation:
\( \frac{2x + 1}{3} = \frac{x + 5}{2} \\ 2(2x + 1) = 3(x + 5) \\ \: \: \: \: 4x + 2 = 3x + 15 \\ 4x - 3x = 15 - 2 \: \\ \: \: \: x = 13\)
can someone help me with this i will give brainlest
Factor completely.
3x^2 −147=
Answer:
\(3(x - 7)(x+7)\)
Step-by-step explanation:
To factor this, you must first take out the GCF (Greatest Common Factor), that \(3x^2\) and -147 both have. The terms only have 3 in common, which can be divided with
\(3x^2 - 147\\3(x^2 - 49)\)
However, we're still not done since 49 is a perfect square and \((x^2 - 49)\) can be split into 2, like so:
\(3(x - 7)(x+7)\)
If you're unsure about the final answer, you can multiply it all together to see if you got the original expression.
Do
this mathematics operations using the rules of precision
(9.11)+(6.232)
(7.4023)x(19)
(9.162)-(2.39)
(0.00482)x(213)
(8.73)/(5.198)
(7644)/(0.13)
Answer:
Step-by-step explanation:
Sure! I'll perform the mathematical operations using the given numbers and apply the rules of precision. Please find the results below:
(9.11) + (6.232)
The sum of 9.11 and 6.232 is 15.342.
(7.4023) x (19)
The product of 7.4023 and 19 is 140.844.
(9.162) - (2.39)
The difference between 9.162 and 2.39 is 6.772.
(0.00482) x (213)
The product of 0.00482 and 213 is 1.02786.
(8.73) / (5.198)
The division of 8.73 by 5.198 is 1.67920734.
(7644) / (0.13)
The division of 7644 by 0.13 is 58,800.
Please note that the results are rounded to the appropriate number of decimal places based on the precision rules.
HELP USATESTPREP The equation that represents this relationship is y v (select)
1/3x
3/1x + 40/3
1/3x + 40/3
ill mark brainliest
Answer:
answer is 1/3x
Step-by-step explanation:
now u might wonder shouldnt 40/3 be in there? no. Because if you divide 40 by 3 you get between 13-14 its a decimal, and the first point you get is not a decimal its a whoel number and from what we see there is no y axis cross point. if this is wrong im sorry but this is what i truely belivee
Answer:
20/35/50/65
the answer is 1/3x
Step-by-step explanation:
ok make me Brainliest
sum of three like fractions is 18/11. the first 2 fractions are 1/11 and 9/11. find the third fraction.
please help me quick
Answer:
\(\frac{8}{11}\)
Step-by-step explanation:
Since the fractions are like, their denominators are 11, then
consider the values that sum to give 18 , that is
1 + 9 + ? = 18
10 + ? = 18 ( subtract 10 from both sides )
? = 8
Then the third fraction is \(\frac{8}{11}\)
A family went out to eat. The bill is $65.82. The family wants to leave a 20% tip. How much tip will be added on to the cost of dinner?
Answer:
$13.16
Step-by-step explanation:
factorize 2x⁴+x³-14x²-19x-6
no spam and kindly explain your answer!
Answer:
(x + 1)(x + 2)(2x + 1)(x - 3).
Step-by-step explanation:
From the leading and last coefficients, 2 and -6 the values +/- 1, +/-2 , +/- 3 could be roots of this equation ( well, up to 4 of them).
Try x = 1:
f(1) = 2(1)^4 + 1^3 - 14(1)^2 - 19(1) - 6 = -36 so its not 1.
f(-1) = 2 - 1 - 14 + 19 - 6 = 0 do x = -1 is a root.
Therefore (x + 1) is a factor (By the factor theorem)
Try x = 2:
f(2) = 32 + 8 -56 - 38 - 6 = -6o so x =2 not a root.
f(-2) = 32 - 8 - 56 + 38 - 6 = 0 so x = -2 is a root and (x + 2) is a factor.
(x + 1)(x + 2) = x^2 + 3x + 2.
Long division:
2x^2 - 5x - 3 <-----------Quotient
--------------------------------------------
x^2 + 3x + 2 ) 2x^4 + x^3 -14x^2 - 19x - 6
2x^4 + 6x^3 + 4x^2
-5x^3 - 18x^2 - 19x
-5x^3 - 15x^2 - 10x
-3x^2 - 9x - 6
-3x^2 - 9x - 6
.......................
2x^2 - 5x - 3 = (2x + 1)(x - 3)
So Finally, the factors are (x + 1)(x + 2)(2x + 1)(x - 3).
-4x^(2)-3x+14=4 select all statements that apply
Answer:
x = - 2, x = \(\frac{5}{4}\)
Step-by-step explanation:
Given
- 4x² - 3x + 14 = 4 ( subtract 4 from both sides )
- 4x² - 3x + 10 = 0 ( multiply through by - 1 to clear the leading negative )
4x² + 3x - 10 = 0
Consider the product of the factors of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 4 × - 10 = - 40 and sum = + 3
The factors are + 8 and - 5
Use these factors to split the x- term
4x² + 8x - 5x - 10 = 0 ( factor the first/second and third/fourth terms )
4x(x + 2) - 5(x + 2) = 0 ← factor out (x + 2) from each term
(x + 2)(4x - 5) = 0
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
4x - 5 = 0 ⇒ 4x = 5 ⇒ x = \(\frac{5}{4}\)
Determine the eccentricity, the type of conic, and the directrix for r= 9 /5+6 cos theta
Answer:
A
Step-by-step explanation:
Eccentricity = 6/5
Hyperbola
Directrix: x = 3/2
Rachel has a box in the shape of a
rectangular prism. The length of the box is
3 feet, the width is 1.5 feet, and the height
is 1 foot. What is the volume of the box
measured in cubic inches?
919
Answer:
volume of square based prism = a²h
therefore
150 in³ = x²y
y = 1.5x
150 = 1.5x³
100 = x³
x = ³√100 ≈ 4.64 in
y = 1.5x ≈ 6.96 in
Position vs Time The object represented by this graph is moving 12 10 O away from the origin at a constant velocity O away from the origin at a decreasing velocity O toward the origin at a constant velocity O toward the origin at a decreasing velocity 8 6 4 2 0 1 2 3 4. 5 Time (s)
As the line is staright without changes the velocity is constant, it is coming closer to the origin since the distance is decreasing as the time increases.
Answer:
the answer is c
Step-by-step explanation:
its just c
What percent is 60 is 42
Answer:
The percentage is 70%
Answer:
the answer is 70%
Step-by-step explanation:
Let's consider 42 as x% of 60.
x% of 60 = 42 (x% means x/100)
(x/100) * 60 = 42
60x/100 = 42
60x = 42 * 100 = 4200
x = 4200
How many terms are in the expression 6x + 8 -4
Answer:
two terms
Step-by-step explanation:
6x + 8 - 4
6x + 4 here the two terms in the expression
Answer:
There are 3 terms
Step-by-step explanation:
There are 3 different numbers and coefficients with variables. 6x is a term, 8 is a term, and -4 is a term. So we know that there are 3 terms.
BC
-
Round your answer to the nearest hundredth.
B
70°
5
?
A
in 1994 there were 41420 shopping centers in 2004 there were 48355. What is this in y=mx+b form
Answer:
y=23098
Step-by-step explanation:
The projected year-end assets in a collection of trust funds, in trillions of dollars, where t represents the number of years since 2000 , can be approximated by the following function where 0≤t≤50. A(t)=0.0000284t^3−0.00450t^2+0.0613t+2.34 a. Where is A(t) increasing? b. Where is A(t) decreasing? a. Identify the open intervais for 0≤t≤50 where A(t) is increasing. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The function is increasing on the interval(s) (Type your answer in interval notation. Round to the nearest tenth as needed. Use a comma to separate answers as needed.) B. There are no intervals where the function is increasing. b. Identify the open intervals for 0 s $50 where A(t) is decreasing. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The function is decreasing on the interval(s) (Type your answer in interval notation. Round to the nearest tenth as needed. Use a comma to separate answers as needed.) B. There are no intervals where the function is decreasing.
The function is increasing on the interval(s) (1.9, 29.5).
The function is decreasing on the interval(s) (0, 1.9), (29.5, 50).
We have,
To determine where the function A(t) = 0.0000284t³ - 0.00450t² + 0.0613t + 2.34 is increasing and decreasing, we need to examine the sign of its derivative.
a.
To find where A(t) is increasing, we need to find the intervals where the derivative A'(t) > 0.
Let's find the derivative of A(t):
A'(t) = 0.0000852t^2 - 0.009t + 0.0613
To determine the intervals where A(t) is increasing, we need to solve the inequality A'(t) > 0.
0.0000852t² - 0.009t + 0.0613 > 0
This quadratic inequality can be solved by factoring or using the quadratic formula.
However, to simplify the process, we can use a graphing calculator or software to determine the intervals where the inequality holds true.
Using a graphing calculator or software, we find that A(t) is increasing on the interval (1.9, 29.5).
Therefore, the correct choice is:
The function is increasing on the interval(s) (1.9, 29.5).
b.
To find where A(t) is decreasing, we need to find the intervals where the derivative A'(t) < 0.
Again, using a graphing calculator or software, we find that A(t) is decreasing on the intervals (0, 1.9) and (29.5, 50).
Therefore, the correct choice is:
The function is decreasing on the interval(s) (0, 1.9), (29.5, 50).
Thus,
The function is increasing on the interval(s) (1.9, 29.5).
The function is decreasing on the interval(s) (0, 1.9), (29.5, 50).
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Acellus Find the distance between the two points. (-3,-4) (2,2) ✓ [?]
Answer:
√61
Step-by-step explanation:
→ Find the distance between y coordinates
2 --4 = 6
→ Find distance between x coordinates
2--3 = 5
→ Find distance
√6² + 5² = √36 + 25 = √61
Find the equation of the linear function represented by the table below in slope-
intercept form.
X
0
1
2
3
4.
у
9
18
27 36
45
Answer:
y = 9x + 9
Step-by-step explanation:
so the points are:
(0,9) (1, 18) (2, 27) (3, 36) (4, 45)
since the y intercept is when x is 0 write it in the equation!
y = mx + 9
now to solve for slope
use the equation y2 - y1/ x2 - x1 or y1 - y2/x1 - x2
sooo use (1, 18) and (2, 27)
27 - 18/2 - 1
9 / 1 = 9
y = 9x + 9
check with the points you did not use!
(3, 36)
36 = 9(3) + 9 ?
36 = 27 + 9?
36 = 36
The Reagan doctrine of American activism in the Third World was most particularly exercised in a Grenada and Nicaragua b the Philippines and South Africa c Iran and Saudi Arabia d Venezuela and the Dominican Republic e Korea and Vietnam
The Reagan doctrine of American activism in the Third World was most particularly exercised in Nicaragua and Grenada. These countries became focal points of U.S. involvement and intervention.
The Reagan doctrine, implemented during the presidency of Ronald Reagan in the 1980s, aimed to counter Soviet influence and promote American interests in the Third World. This doctrine was characterized by a strong anti-communist stance and support for anti-communist governments and movements. Among the various countries where the Reagan doctrine was applied, Nicaragua and Grenada stand out as prime examples.
In Nicaragua, the Reagan administration actively supported the Contras, a rebel group fighting against the Sandinista government. The Contras were seen as a counterforce to the left-wing Sandinistas, who were aligned with the Soviet Union and Cuba. The United States provided financial and military assistance to the Contras, including covert operations, in an effort to undermine the Sandinista regime.
Grenada, a small island nation in the Caribbean, also witnessed American intervention under the Reagan doctrine. The United States launched Operation Urgent Fury, invading Grenada and overthrowing the government, with the stated objective of protecting American citizens and restoring democracy.
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Sharon is making a large batch of soup. The soup reaches a height of 25 in a cylindrical pot whose diameter is 30cm. To store the soup for later, she'll pour it into ice cube molds where each cube has edges that are 7cm, end text long.
Complete question :
Sharon is making a large batch of soup. The soup reaches a height of 25 in a cylindrical pot whose diameter is 30cm. To store the soup for later, she'll pour it into ice cube molds where each cube has edges that are 7cm long. How many whole cubes can Sharon make?
Answer:
About 51 ice cubes
Step-by-step explanation:
Given the following :
Height (h) of cylindrical pot = 25
Diameter = 30cm
Edge of ice cube = 7cm long
Volume of cylinder (v) = πr^2h
V = π * (30/2)^2 * 25
V = π * 15^2 * 25
V = 17671.458cm^3
Therefore, the soup occupies 17673.75cm^3
Volume of cubes to store the soup for later:
The volume of a cube is given by the formula:
V = a^3
Where a is the length of it's edge
V = 7^3
V = 343cm^3
Number of cubes required to store soup:
(Volume of cylinder / Volume of ice cube)
17671.458cm^3 / 343cm^3
= 51.520287
This is about 51 whole cubes
What is the density of a metal block with a volume of 100 cm3 and a mass of 159 g?
Step-by-step explanation:
Volume (V) = 100 cm³
Mass (M) = 159 g
Density (D) =?
We know density is defined as mass per unit volume so
D = m / v
= 159 / 100
= 1.59 g /cm³
The density of the metal block is 1.59 g/cm³.
Note : If the question is asked to change the units in SI system then u have to write in kg/m³.
Hope it will help :)❤
0.00125mi squared=?ft squared
Answer:
6.6
Step-by-step explanation:
Multiply the length value by 5280