The water pressure on a submerged object is given by P = 64d, where P is the pressure in pounds per square foot, and d is the depth of the object in feet.
a. solve the formula for d.
b. Find the depth of a submerged object if the pressure is 672 pounds per square foot.
The water pressure on the submerged object is given by d = P ÷ 64
Pressure is the force that is applied perpendicularly to the area across which it is applied to an object's surface (symbol: p or P).
Gauge pressure, frequently written gage pressure, is the measurement of pressure in proportion to the atmosphere.
Various units are used to express pressure.
The pound-force per square inch (psi), which is equivalent to one newton per square meter (N/m2) in the SI, is the standard unit of pressure in the imperial and American customary systems.
A unit of force is divided by a unit of area to arrive at some of these findings.
a. The given formula is is P=64d
or , d = P ÷ 64
b. at a pressure of 672
d = 672 ÷ 64
or, d = 10.5 feet
Therefore the pressure is 672 pounds per square foot at a depth of 10.5 feet.
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Simplify Number 539
Okay, here we have this:
Considering the provided expression, we are going to simplify it, so we obtain the following:
539.A:
Then by properties of exponents we get the following:
[tex]\begin{gathered} 216^{\frac{1}{3}} \\ =(6^3)^{\frac{1}{3}} \\ =6^{\frac{3}{3}} \\ =6^1 \\ =6 \end{gathered}[/tex]Finally we obtain that the given expression is equal to 6.
I need the answer for these 2
after solving each compound given in the picture
there was a existing solution that is as follows -
a ) ( - ∞ , 1] U [12 , ∞ )
b) ( - ∞ , 8] U [4 , ∞)
What is inequality ?inequality, When two integers or algebraic expressions are stated to be greater than, greater than or equal to, less than, or less than or equal to each other in order.
A mathematical statement known as an inequality in algebra uses the inequality symbol to show the relationship between two expressions. It indicates that the expressions on the left and right should be bigger or less than one another, or vice versa. Literal inequalities occur when the relationship between two algebraic expressions is shown using the inequality symbol. An inequality in algebra is a mathematical statement that demonstrates the relationship between two expressions. In other words, the expression on the left should be greater or smaller than the expression on the right.
Calculationa ) ( - ∞ , 1] U [12 , ∞ )
b) ( - ∞ , 8] U [4 , ∞)
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all you need is in the photo please answer fast
Explanation:
The steps to construct an inscribed square are:
0. Draw the diameter of the circle
,1. Place the compass on the point where the circle and diameter intersect
,2. Swing an arc the length of the radius from the point on the circle
,3. Repeat 2 and 3 for the other intersection point
,4. Draw a line through the intersections of the arcs from the previous steps
,5. Draw lines between the points on the circle
The step from the options that's not here is swing two arcs above and below the diameter
Answer:
Swing two arcs above and below the diameter
i need help with my dividing please
Rewrite 23 + 42 = 65 using the Commutative Law of Addition.
Answer: 23+42=42+23
how the heak is this a colledge question*_* i learned this in 2nd grade lol
We have rewritten 23 + 42 = 65 as 23 + 42 = 65 using the Commutative Law of Addition.
What is Number system?A number system is defined as a system of writing to express numbers.
The Commutative Law of Addition states that changing the order of the addends does not change the sum.
a+b=b+a
Therefore, we can rewrite 23 + 42 as 42 + 23, and the equation becomes:
42 + 23 = 65
or 42+23=23+42
So, we have rewritten 23 + 42 = 65 using the Commutative Law of Addition.
Hence, we have rewritten 23 + 42 = 65 as 23 + 42 = 65 using the Commutative Law of Addition.
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Which table is a probability distribution table?
Answer:
a [i can not see d thought so for future can you take the full photo]
Step-by-step explanation:
y÷x
p÷x
What is the value of X makes this addition sentence true?
X=903+0
The value of X for which expression X = 903 + 0 is true, is;
⇒ X = 903
What is substitution method?
To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.
Given that;
The expression is;
X = 903 + 0
Now,
When we add 0 is any number then the result is same number.
So, Solve the expression as;
X = 903 + 0
X = 903
Thus, The value of X for which expression X = 903 + 0 is true, is;
⇒ X = 903
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What is 2 2/5 as a percentage? How would I plot on a number line?
Answer:
240%
Step-by-step explanation:
Times the two whole number by five, add the result to top number, divide by denominator.
1. A car starting from rest has a constant acceleration of 4 meters per second per second. How fast will it be going in 5 seconds?
Answer: 20m/s
Step-by-step explanation:
Velocity final= Velocity initial+acceleration*time
Vf=0+4*5= 20m/s
Line/has the equation y=1/3x. Find the equation of the image of/ after a dilation with a scale factor of 1/2, centered at the origin
The correct answer is 1/3x
Option B is the correct answer
There are approximately 3.1 x 108 people in the United States. If each person has 4.1 x 10¹ coins how many coins are there all together?
Using simple multiplication, we concluded that Total coins equals 127 × 10 ⁷
What is a multiplication?Multiplying in math is the same as adding equal groups. The number of items in the group grows as we multiply. Parts of a multiplication issue include the product, the two factors, and the product. The factors in the multiplication problem 6 x 9 = 54 are the numbers 6 and 9, and the product is the number 54.
People in the United States = 3.1 x 10⁸
each person has 4.1 x 10¹ coins
Total coins = ( 4.1 x 10¹ ) × ( 3.1 x 10⁸ )
Total coins = 12710000000
= 127 × 10 ⁷
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*WILL GIVE BRAINLIEST* Hi, I need help answering questions about the graph attached!
*ATTACHED ALREADY* Use Desmos to graph the following function :f(x)=2 sinx.
Use your graph to come up with a few solutions for the equation 2 sin〖x=2.〗
Are there more solutions than the ones on the graph? Explain.
The general solution of the function, y = sin(x), can be found by using the measure of the angles that have sines which equals 0 as follows;
x = -(2•π•n - π) and x = 2•π•nWhat is a general solution of a function?A general solution of a trigonometric function gives all possible solutions of the trigonometric functions and comprises of the integer n.
The given function is presented as follows;
f(x) = 2•sin(x)
The solution of the function is given by the point where f(x) = 0 as follows;
When f(x) = 0
2•sin(x) = 0
Therefore;
sin(x) = 0
Therefore;
x = arcsin(0)
sin(2•π) = 0
sin(π) = 0
Therefore, the solution is the set of whole number multiples of pi
Which gives;
x = -(2•π•n - π) and x = 2•π•n
Please find attached the graph of the function created with the required application.
From the graph of the function, we have that the graph crosses the x–axis at points -π, 0, π, ..., which are multiples of π
The general solution to the function f(x) = sin(x) is therefore;
x = -(2•π•n - π) and x = 2•π•n
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The price of sweaters starts at Pa= $120 each and a quantity supplied of Qa= 40 sweaters. If the price falls to Pb= $12 each, what is the new quantity supplied (Qb) if the slope of the supply curve is m=3 Round your answer to nearest whole number of sweaters.
The quantity of the new sweaters at a price of $12 is gotten using the slope of 3 to be 36 sweaters
How to find the new quantity if the price falls to $12given data
Pa = $120
Qa = 40
Pb = $12
slope of the supply curve is m=3
The slope represents the relationship between the the input variable and the output variable.
The input variable is the price while the output variable is the quantity supplied.
The slope is the factor that multiplies the input to get the output, we therefore solves as follows
= Pb * slope
= $12 * 3
= 36
Therefore at the price of$15 the quantity supplied is 36 sweaters
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Answer:
4 sweaters
Step-by-step explanation:
Pa-Pb /Qa-Qb
What is the value of the estimated standard error for the following set of D-scores?
Scores: 4, 8, 4, 4
-2
-4
-12
-1
The value of the estimated standard error for the following set of D scores 4, 8, 4, 4 is 1.
The standard deviation of a statistic's sample distribution, or an approximation of that standard deviation, is the statistic's standard error. The term "standard error of the mean" is used when referring to a statistic that is the sample mean.
Consider the following set of D scores,
4, 8, 4, 4
We will calculate ∑D and ∑D² to find the SS for the D scores.
Therefore,
∑D = 4 + 8 + 4 + 4
∑D = 20
∑D² = 4² + 8² + 4² + 4²
∑D² = 16 + 64 + 16 + 16
∑D² = 112
Now, the formula for the standard score is given as:
[tex]SS=\sum D^2- \frac{(\sum)^2}{n}[/tex]
SS = 112 - [ (20)² /4 ]
SS = 112 - 100
SS = 12
Now,
[tex]S_{D}=\sqrt{\frac{SS}{n-1} }[/tex]
[tex]S_{D}=\sqrt{\frac{12}{4-1} }[/tex]
[tex]S_{D}=\sqrt{4}\\ S_{D}=2[/tex]
[tex]S_{\overline D}=\frac{S_{D}}{\sqrt{n} }[/tex]
[tex]S_{\overline D}=\frac{2}{\sqrt{4} }[/tex]
[tex]S_{\overline D}=\frac{2}{2}=1[/tex]
Hence, the standard error of the set of D scores is 1.
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What can you say about the continuous function that generated the following table of values? X -3 0 1 5 11 y 4 -3 2 0 7 A. the function has exactly one x-intercept OB. the function has more than one x-intercept O C. the function has no x-intercepts D. not enough information to answer the question
The continuous function that generated the following table of values is has more than one x-intecept.
What is continuous function ?A continuous function is one whose graph is continuous throughout without any interruptions or leaps, as the name suggests. In other words, we claim that a function is continuous if we are able to draw its curve (graph) without ever picking up the pencil. Calculus students must learn about a function's continuity because without it, a function cannot be differentiable.
Table
x y
-3 4
0 -3
1 -2
5 0
11 7
An x-intercept results whenever the function crosses the x-axis and changes sign. Additionally, when the function's value is zero, it acts as an x-intercept.
In the tables, there are two sign changes (from +4 to -3 and from -3 to +2). It also has one value of zero, and this function has a minimum of three x-intercepts. Therefore, you can infer that the choid b is accurate.
The function has more than one x-intecept.
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Pls answer
Indicate which property is illustrated in Step 2.
Which property is illustrated in Step 2 ? Option B. Commutative property
How is this explained?
Given:
Step 1 = 10+ 8x - 10 - 4x +4 = 0
Step 2 = 10 + (-10+ 8x) -4x + 4
Here , 8x - 10 = -10 + 8x
This is of the form , A+B = B+A
Commutative property of addition = A+B = B+A
What is the commutative property?
The addition and multiplication arithmetic operations are covered by the commutative property. This implies that the outcome of adding or multiplying two numbers remains unchanged if the order or position of the numbers are changed. According to the commutative property formula, the result is unaffected by the sequence in which two numbers are added or multiplied. However, the order of the integers matters for subtracting and dividing any two real numbers, so it cannot be changed.Commutative property of addition = A+B = B+A Commutative property of multiplication = A B = B ATo learn more about commutative property, refer:
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Solve by completing the square.
x² + 10x = -81
O {6+i√42, 6-i√/42}
O {12+√133, 12-√133}
O {11, 1}
O {-5+2i√/14, -5-2i√/14}
Answer:
Option 4
Step-by-step explanation:
[tex]x^2+10x=-81 \\ \\ x^2+10x+25=-56 \\ \\ (x+5)^2=-56 \\ \\ x+5= \pm \sqrt{-56}=\pm 2i \sqrt{14} \\ \\ x=-5 \pm 2i \sqrt{14}[/tex]
In your office, 1⁄4 of the 24 employees eat lunch daily at a restaurant. How many employees eat at a restaurant?
Answer:
¼ × 24= 6
:- 6 employees eat at a restaurant
Step-by-step explanation:
please rate as brainliest
Answer:
6
Step-by-step explanation:
In your office, 1⁄4 of the 24 employees eat lunch daily at a restaurant. How many employees eat at a restaurant?
We need to find 1/4 of 24 employees:
because 1/4 = 0.25
0.25 × 24 = 6 employees eat out
How many ones are in 23.47? How
many whole ones?
Answer: The answer is 234.7
Step-by-step explanation:
to make one cup of hot chocolate, 1 1/2 tablespoons of hot cocoa mix must be used. if a snack bar wants to make 70 cups of hot chocolate, how much mix will they need?
Given:
1 cup of hot chocolate = 1½ tablespoons of cocoa mix.
70 cups of hot chocolate = x tablespoons of cocoa mix.
Note that 1½ = 1.5
Let's find how much mix will they need below:
[tex]\begin{gathered} \frac{1}{1.5}=\frac{70}{x} \\ \text{Cross multiply} \\ x\text{ = 70 }\ast\text{ 1.5 } \\ \text{ = }105 \end{gathered}[/tex]Therefore the amount of hot cocoa mix they will need is 105 tablespoons
ANSWER:
105 tablespoons of hot cocoa mix
I need help with number 4 mostly
Answer:
815/99 (fraction); 8 23/99 (mixed number)
Step-by-step explanation:
the fraction for 0.23 repeating is 23/99
you add 8 in front of it
8 23/99 is the mixed number version
for the fraction version you must multiply 99 to 8 and then add it to 23
8 * 99 = 792
792 + 23 = 815
so
the fraction is 815/99
Every quart is 2 pints. This can be expressed using the equation y × 2 = Z, where y is equal to the number of quarts and Z is equal to the total number of pints. Using this equation find the total pints in 10 quarts._____ pints
Given data:
The expression for the total nummber of pints is Z=yx2.
The given value of y is,
y=10 quarts.
Substitute the given values in the aabove expression.
Z=10x2
=20 pints.
Thus, the total pints is 20
Number 12 I don’t get it y’all know ?
Answer: - 18
Step-by-step explanation:
-216 divided by 12 = - 18
(there are 12 months)
a crafter wants to make 20% profit on the items he makes. if the cost of materials is $1.20, what should the items sell for to make a 20% profit?
A. $1.44
B. $1.00
C. $1.24
D. $2.40
The crafter should sell the item for $1.44 to make a 20% profit
How to calculate the amount the item will be sold ?The amount of profit to be made is 20%
100% + 20%
= 120%
= 120/100
= 1.2
The amount the item can be sold can be calculated as follows
1.20 × 1.2
= 1.44
Hence the item will be sold for $1.44 to make a profit of 20%
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Kayak wants to find 2 2/3 divided (- 1 3/7). She first rewrites the division as (2 2/3) ( 1 7/3)
Using fraction multiplication, the answer of 2 2/3 divided by -1 3/7 is [tex]\frac{-4}{5}[/tex]
What does multiplication in mathematics mean?It is stated as "a multiplied by b" when two numbers, let's say "a" and "b," are multiplied. Multiplication in mathematics is essentially just adding a number repeatedly in relation to another number. For instance, if we multiply 2 by 3, then means that 3 gets multiplied by itself twice, meaning 3 + 3 = 6.
Given,
we are to divide 2 2/3 by -1 3/7
[tex]\frac{8}{3}[/tex] × [tex]\frac{-3}{10}[/tex]
⇒ [tex]\frac{-4}{5}[/tex]
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3. A box contains 6 blue balls and 4 red balls. Two balls are drawn from the box, one after the other, with replacement. Determine the probability that one of the balls is red, and the other ball is blue. Give your answer as a decimal rounded to the nearest hundredth. (2 marks) 4/10 .40 4. The probability that Andrew's mother will serve rice with dinner is 0.78. The probability that she will serve carrots is with dinner is 0.30. The probability that she will serve neither rice nor carrots is 0.14.
The given
The probability of serving rice with dinner
[tex]P(A)=0.78[/tex]The probability of serving carrots with dinner
[tex]P(B)=0.30[/tex]The probability of serving neither rice nor carrot is
[tex]P(A^{\prime}\cap B^{\prime})=0.14[/tex]The ven diagram is
2)
The probability of serving both rice and carrot is
[tex]P(A\cup B)=P(A)+P(B)-P(A\cap B)[/tex]Recall that
[tex]P\mleft(AUB\mright)=1-P(A^{\prime}\cap B^{\prime})[/tex]Substitute the values, we get
[tex]P\mleft(AUB\mright)=1-0.14[/tex][tex]P\mleft(AUB\mright)=0.86[/tex]Find the slope of the line that passes through the pair of points.
(-3, 5), (3, 6)
The slope of the line passing through the given pair of points would be [tex]m=\frac{1}{6}[/tex].
Hope this helps!
HELP ! THIS IS DUE IN A FEW HOURS!
The maximum height reached by the ball is 22 feet
The ball stayed in the air for 1 second
What is a function?A function can be defined as a rule, law or expression that shows the relationship between two identifiable variables:
The independent variableThe dependent variableGiven the function:
h(t) = -16t² + 32t + 6
Where;
h is the maximum height measured in feett is the time in secondsTo determine the maximum height in feet that the ball reached, we would be required to substitute the value of t as 1
We have:
h(1) = -16(1)² + 32(1) + 6
expand the bracket
h(1) = -16 + 32 + 6
Add the values
h(t) = 22 feet
To determine the time, we have;
-16t² + 32t + 6 = 22
-16t² +32t + 6 - 22 = 0
Add like terms
-16t² +32t - 16 = 0
Factorize further
-16t² + 16t + 16t - 16 = 0
Factorize in pairs
16t( t - 1) + 16 ( t - 1) = 0
Then,
t - 1 = 0
t = 1 second
Thus, the maximum height is 22 feet
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13. An increase of speed of 4 km/h on a journey of 32 km reduces
the time taken by 4 hours. Find the original speed.
Answer:
What is the role of ethnocentrism in defining the concept of “progress”
Step-by-step explanation: