Answer:
V = 11 times 9 times 7
Step-by-step explanation:
To answer this question, a dimensional analysis must be done.
The volume has cube length as a unit, that is, l ^ 3
We analyze each option
V = base * height * height
ignoring what each one means, we know that each one is measured in length therefore:
V = L * L * L = L ^ 3 that is to say that in this way the volume can be found.
The other way is:
V = base + height + height
If we replace, we have to:
V = L + L + L = L, and the volume does not have units of length, therefore this option is not viable.
Which means that the option of V = 11 times 9 times 7 is correct.
I must mention, that the true way to calculate the volume in this case would be:
V = Base area * height
V = (base + height / 2) * height
ANSWER FAST PLZ !!!!!!!!!!!!!!!!!!!!!!!!1
Answer:
more likely
Step-by-step explanation:
the probability of 0.05 suggests there is a chance of that event happening. A probability of 0 says that such event would never happen. so despite being small the 0.05 chance is higher than the probability of 0
Answer:
More likely
Step-by-step explanation:
.05 > 0 that means no matter how small it's still going to be more likely if bigger than zero
On a pentagonal lot, when interior angles are put in increasing order, each differs from the next by 5 degrees. Find the measure of the smallest interior angle of the field
Select the appropriate response:
A) 118
B) 98
C) 103
D) 108
Answer:
B) 98
Step-by-step explanation:
98+5=103
103+5=108
108+5=113
113+5=118
What is slope of the line -3y=8x -5?
The slope of the line given by the equation -3y=8x-5 is -8/3. This is obtained by re-arranging the equation into slope-intercept form (y=mx+b), where 'm' is the slope.
Explanation:The equation given is -3y=8x-5. To find the slope of the line, we first need to convert this equation to the form y=mx+b, which is the slope-intercept form of a line. In this form, the coefficient 'm' represents the slope, and 'b' represents the y-intercept.
First, divide all terms by -3 to transform the equation. Doing so gives us y=-8/3x + 5/3. Thus, the slope of the line is -8/3. This means that for every increase of 1 unit on the x (horizontal) axis, y (on the vertical axis) will decrease by 8/3 units.
Different lines can have different slopes. A slope can be positive, negative, zero, or undefined. In this case, because our slope is -8/3, we have a line that slopes downwards when reading from left to right.
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How many distinct real number zeros does f have? F(x)=4x^2-17x+3
Answer:
2 distinct real number zeros
Step-by-step explanation:
The discriminant b^2 - 4ac
= (-17)^2 - 4*4*3
= 241
So it has 2 distinct roots.
Daniel deposited $5,000 in his saving account. He left the money in the account
for 25 years and earned 3.5% simple interest. How much interest did her earn?
Answer:
$4375
Step-by-step explanation:
What you do first is multiple $5,000 by 3.5% to get $175 after that you would then multiple $175 by 25 for each year you are getting $175 when you do all that you get $4375 in interest
2x+3≥7 OR 2x+9>11 I'm confused n what to do help, please!!
Answer:
x>1
Step-by-step explanation:
2x+3≥7 OR 2x+9>11
Solve each one separately
2x+3≥7
Subtract 3 from each side
2x+3-3≥7-3
2x ≥ 4
Divide each side by 2
2x/2≥ 4/2
x≥ 2
2x+9>11
Subtract 9 from each side
2x+9-9>11-9
2x > 2
Divide by 2
2x/2>2/2
x>1
Put them back together
x>1 or x≥ 2
Since the x>1 is less restrictive and we are using or, we use that as our answer
A rectangle has an area of 228 ft squared and a length that measures 12 ft. Find the perimeter of the rectangle
Answer:
62 feet
Step-by-step explanation:
Hi there,
Let's start the problem by figuing out the width of the rectangle.
let w = the width of the rectangle.
The formula for the area of a rectangle is A = l*w, so let's plug in what we know.
228 = 12w
Now, let's solve for w, the width, by dividing both sides by 12
w = 19; The width is 19 feet.
Now, we have our length, 12 feet, and our width 19 feet.
So, we should now use the formula for perimiter to find the perimiter of this rectangle. The formula is P = W + W + L + L
Let's plug in the numbers
P = 12 + 12 + 19 + 19
P = 62 feet
Hope this helps! Stay safe!
- Emily
How many liters are in 1 dekaliter? Use the metric table to help answer the question.
Metric Table
unit
kilo-
1,000
hecto-
100
deka
10
deci-
0.1
centi-
0.01
milli-
0.001
O
1 liter
10 liters
100 liters
1,000 liters
O
Answer:
10
Step-by-step explanation:
Based on the concept of measurement and the information given in the question, the liters that made 1 dekaliter is 10 liters.
What is measurement?Measurement is a term that is used to describe the process of associating numbers with physical quantities and phenomena.
Generally, the process of measurement includes the unit conversion, thereby making the same property as a different unit of measurement. For instance, liters can be expressed in dekaliters.
In this case, 10 liters is equivalent to 1 dekaliter
Other types of liters are the following:Milliliters DecilitersCentilitersLitersKilolitersHectolitersHence, in this case, it is concluded he correct answer is option B. 10 liters.
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What are two things you will need to write an equation for a line?
Answer:
Slope and y intercept.
Step-by-step explanation:
This is necassary to write the equation of a line in y=mx+b
m is where the slope goes, and b is the y intercept.
Alternatively, you could also write the equation for a line with a point on the line and the slope.
You would then write it in point slope formula:
y-y1=m(x-x1)
This can later be converted into slope intercept form.
Equivalent to -9y+2x
Answer:
(-3 x 3y) + 2x
Step-by-step explanation:
WILL GIVE BRAINLIEST!
What is the value of x to the nearest tenth?
Answer:
C
Step-by-step explanation:
Use Law of Sines.
Find third angle, which is 26 degrees.
x/sin28=8.2/sin26
cross multiply, which becomes
xsin26=8.2sin28
then divide sin26 both sides
x=8.78
Paul has a stock portfolio worth $21,000. His home is valued at $365,000. His car is valued at $19,000. He owes $362,000 on his mortgage and $16,250 on his car loan. His credit card debt is $11,750. He owes student loans of $17,900. Paul says that because the value of his home and his car exceed their loans and his stock portfolio exceeds his credit card and student loan debt, he has a positive net worth. Complete the explanation as to whether his statement is true or not. Paul's stock portfolio the total of his credit card and student loan debt. His net worth is dollars. Therefore, Paul has a net worth, and his statement is .
Answer:
Paul has negative worth of $2,900
His statement is invalid as he did not consider all assets and debts in aggregate.
Step-by-step explanation:
The net worth of Paul is the total asset owned by him less the total of debts owed by him.
Paul's total assets can computed thus:
Stock portfolio $21,000
Home worth $365,000
Car worth $19,000
Total assets $405,000
Paul's total debts can be computed as follows:
Mortgage loan $362,000
Car loan $16,250
credit card debt $11,750
Student loan $17,900
Total debts $407,900
The amount of debts owed by Paul is $2,900($405,000-$407,900) more than his asset worth,which implies that Paul is indebted to the tune of $2,900,hence has negative worth.
Paul's statement is false; he has a negative net worth.
Explanation:Paul's statement is true, he has a positive net worth.
To calculate Paul's net worth, we subtract his debts from the total value of his assets:
Value of his home ($365,000) minus mortgage ($362,000) = $3,000 equityValue of his car ($19,000) minus car loan ($16,250) = $2,750 equityValue of his stock portfolio ($21,000) minus credit card debt ($11,750) and student loan debt ($17,900) = -$8,650By adding up all his equities, we get $3,000 + $2,750 + (-$8,650) = -$2,900. Therefore, Paul has a negative net worth and his statement is false.
Nabi has 112 inches of border for the board. She uses 8 feet of the border. How much of the border is left?
A. 16 inches
B. 32 inches
C. 40 inches
D. 36 inches
Answer:
A
Step-by-step explanation:
the explanation is in the picture
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In what quadrant would the image of point A (2,-1) be located if it is rotated 135° clockwise around point (1, -3)? Enter the numeric
value of the quadrant
Answer:
[tex]A' = (1.707,-5.121)[/tex]
The new point belongs to the fourth quadrant.
Step-by-step explanation:
The relative vector is:
[tex]\vec r = (2-1,-1+3)[/tex]
[tex]\vec r = (1, 2)[/tex]
The length of the vector is:
[tex]\|\vec r\| = \sqrt{1^{2}+2^{2}}[/tex]
[tex]\|\vec r\| = \sqrt{5}[/tex]
The angle with respect to the horizontal (+x direction) is:
[tex]\theta = \tan^{-1} \frac{2}{1}[/tex]
[tex]\theta \approx 63.435^{\textdegree}[/tex]
The new angle with respect to the horizontal (+x direction) is:
[tex]\theta' = 63.435^{\textdegree}-135^{\textdegree}[/tex]
[tex]\theta' = -71.565^{\textdegree}[/tex]
The new point is:
[tex]A' = (1 + \sqrt{5}\cdot \cos (-71.565^{\textdegree}),-3 + \sqrt{5}\cdot \sin(-71.565^{\textdegree}))[/tex]
[tex]A' = (1.707,-5.121)[/tex]
The new point belongs to the fourth quadrant.
Answer:
The new point A location is (1.69, -51267)
The quadrant is 4th quadrant
Step-by-step explanation:
Here we have a point rotating about another point, therefore we have;
Let point (1, -3) be = P
Therefore the length of line AP is given by the following relation;
[tex]AP =\sqrt{(2-1)^2+(-1-(-3))^2} = \sqrt{5}[/tex]
With angle
[tex]Actan (\frac{-1 -(-3)}{2-1}) = Actan( 2) = 63^{\circ} \ due \ North \ of \ East[/tex]
Rotating through 135° clockwise gives;
63° - 135° = 72° Due south of east from P
The coordinates is then given as follows;
y coordinates = -3 - sin 72×√5 = -5.1267
The x coordinates will be 1 + cos 72×√5 = 1.69
The coordinate of the new point A location = (1.69, -51267)
Therefore the quadrant remains the 4th quadrant.
Activity
Serena is hitting golf balls at the driving range. When she hit a ball viith her 9-Iron, it stopped x yards in front of the 100-yard marker. She knows
she can hit a ball twice that far if she uses her driver. Complete the steps below to see how far Serena can hit a golf ball with her driver. Write an expression in terms of x that represents the distance Serena hit the gofl using her 9 - iron.
Final answer:
To find the distance Serena can hit a golf ball with her driver, we can multiply the distance with her 9-iron by 2.
Explanation:
To find the expression that represents the distance Serena hit the golf ball with her 9-iron, we know that the ball stopped x yards in front of the 100-yard marker. So, the distance Serena hit the ball with her 9-iron is 100 - x yards. To find how far Serena can hit a golf ball with her driver, which is twice as far as her 9-iron, we can multiply the distance with her 9-iron by 2. Therefore, the expression that represents the distance Serena can hit the golf ball with her driver is 2(100 - x) yards.
How do u define demography
Answer:Demography is the statistical study of the size, structure, and distribution of a population. This includes studying the number of births and deaths a population has as well as how that population changes over time.
Step-by-step explanation:
Hannah has some pennies and some nickels. She has a maximum of 25 coins worth a minimum of $0.65 combined. If Hannah has 11 nickels, determine the minimum number of pennies that she could have. If there are no possible solutions, submit an empty answer.
Answer:
Minimum number of pennies = 10
Step-by-step explanation:
Given:
Maximum number of coins Hannah have = 25
Total number of of nickels (coins) she has = 11
Total value of the combined coins = $ 0.65
We have to find the minimum number of pennies.
Let the number of pennies be "p" and no. of nickels be "n".
Note:
Value of 1 penny = $ 0.01
Value of 1 nickel = $ 0.05
Arranging the above situation in terms of equations:
According to their quantities.
⇒ [tex]n+p\leq 25[/tex] and [tex]11+p\leq 25[/tex] so [tex]p\leq 14[/tex]
According to their values.
⇒ [tex]0.05(n)+0.01(p)\leq \$\ 0.65[/tex]
⇒ [tex]0.05(11)+0.01(p)\leq \$\ 0.65[/tex]
⇒ [tex]\$\ 0.55+0.01(p)\leq \$\ 0.65[/tex]
⇒ [tex]0.01(p)\leq \$\ 0.65-\$\ 0.55[/tex]
⇒ [tex]0.01(p)\leq \$\ 0.10[/tex]
⇒ [tex](p)\leq\frac{ \$\ 0.10}{0.01}[/tex]
⇒ [tex](p)\leq 10[/tex]
Minimum number of pennies :
⇒ [tex](p)\leq 10[/tex] which also satisfies [tex]p\leq 14[/tex]
Therefore :
⇒ [tex]p=10[/tex]
Plugging p= 10 we can verify the values.
⇒ [tex]0.05(11)+0.01(10)\leq \$\ 0.65[/tex]
⇒ [tex]0.55+0.10\leq \$\ 0.65[/tex]
⇒ [tex]\$\ 0.65\leq \$\ 0.65[/tex]
So,
Minimum number of pennies Hannah have = 10
Final answer:
Hannah can have a minimum of 10 pennies along with her 11 nickels to make at least $0.65, while having a maximum of 25 coins in total.
Explanation:
Hannah has a maximum of 25 coins and among them, she has 11 nickels. Since she has a minimum combined worth of $0.65, we can calculate the minimum number of pennies she could have. One nickel is worth $0.05, so 11 nickels have a combined worth of $0.55 (11 times $0.05). To reach at least $0.65, we need at least $0.10 more.
A penny is worth $0.01, so to make up the additional $0.10, Hannah would need a minimum of 10 pennies. Therefore, with 11 nickels already accounted for, and the rest being pennies to reach $0.65, Hannah could have a minimum of 10 pennies. She cannot have more than 25 coins in total, so the number of pennies must also not exceed the limit of 25 total coins when added to the number of nickels she has. Since 11+10=21, this is less than the maximum of 25 coins, and thus, it is possible for Hannah to have a minimum of 10 pennies.
Use the given conditions to write an equation for the line in point-slope form and in slope-intercept form.
Passing through (7,1) with x-intercept -5
Write an equation for the line in point-slope form...
WILL GIVE BRAINLIEST!!!
Answer:
[tex]y-1=\frac{1}{12} (x-7)[/tex]
Step-by-step explanation:
Point-slope form is: [tex]y-y_1=m(x-x_1)[/tex] , where (x_1, y_1) is the point given and m is the slope.
The problem gives us two points, actually: (7, 1) and (-5, 0); the second one is the x-intercept because x-intercepts always have a y-coordinates of 0. We can use these two points to find the slope, which is just change in y over change in x: [tex]\frac{1-0}{7-(-5)}=\frac{1}{12}[/tex]. So, the slope = m = 1/12.
Now, we have our point (7, 1) and the slope 1/12, so just plug these into the above format: [tex]y-1=\frac{1}{12} (x-7)[/tex]
Hope this helps!
Answer:
y - 1 = (1/12)(x - 7)
y = (1/12)(x + 5)
You can use either of these
Step-by-step explanation:
Slope using (-5,0) and (7,1)
m = (0-1)/(-5-7) = -1/-12
m = 1/12
y - 1 = (1/12)(x - 7)
Or,
y - 0 = (1/12)(x - -5)
y = (1/12)(x + 5)
what is (4x) to the 1/2 in radical form
Answer:[tex]2\sqrt{x}[/tex]
Step-by-step explanation:
4x^1/2=[tex]\sqrt[2]{4x}[/tex]=[tex]2\sqrt{x}[/tex]
Answer:
[tex]2\sqrt{x}[/tex]
Step-by-step explanation:
Fractional exponents always mean roots. The denominator indicates which root it is. Since the denominator here is 2, the root is a square, so:
[tex](4x)^{1/2}=\sqrt{4x} =2\sqrt{x}[/tex]
Thus, the answer is [tex]2\sqrt{x}[/tex].
Hope this helps!
Need help please don’t be fake
We see that Angle C = 99.
Then we see that Angle A + 22 + Angle C = 180
Substitute in the 99
Angle A + 22 + 99 = 180
Angle A = 59
Circle P has a circumference of approximately 75 inches.
What is the approximate length of the radius, ? Use 3.14 for
T. Round to the nearest inch.
va
12 inches
24 inches
38 inches
46 inches
Answer:
The answer to your question is 12 in
Step-by-step explanation:
Data
Circumference = 75 in
radius = ?
π = 3.14
Circumference is defined as the distance around the edge of a circle.
Formula
Circumference = 2 π radius
Solve for radius
Radius = Circumference / 2π
-Substitution
Radius = 75 / 2(3.14)
-Simplification
Radius = 75/6.28
-Result
Radius = 11.94 in ≈ 12 in
Answer:
1) 12in
Step-by-step explanation:
The circumference is 75, so to find the diameter you have to divide 75 by 3.14. You get 24 approximately. Then divide the diameter by 2, so 24/2=12.
I need help asap :):):)
Answer:
24 ÷ 4
Step-by-step explanation:
Putting something into fourths is putting into 4 parts. If you divide 24 by 4 you get 6. 6 equals 1/4 of 24. To check your work add 6 together 4 times.
There are 5 red pens, 4 black pens, and 1 blue pen in a box. What is the probability of pulling out a black pen two times in a row with replacement?
A. 8/10
B. 4/10
C. 16/100
D. 4/25
Answer:
D. 4/25
Step-by-step explanation:
To find probability, you multiply 4/10 by 4/10. You should get 16/100, which simplifies to 4/25.
Urn A contains 1 red ball and 4 blue balls. urn B has 2 red balls and 3 blue balls. in each round you choose at random one ball from urn A and one from urn B. the process is then repeated until the first time you draw two balls of the same color. What is the probability that this process ends on the fourth round?
Answer: The probability is 0.06
Step-by-step explanation:
Urn A contains 1 red ball and 4 blue balls.
Urn B contains 2 red balls and 3 blue balls.
The probability of "selecting" a ball of a given colour is equal to the number of balls of that colour in the urn divided by the total number of balls in the urn.
Now, the probability of drawing two balls of the same color in the fourth selection needs to:
1 selection: red ball from A and one blue ball from B, the probability is:
Pa = 1/5, Pb = 3/5, P = 1/5*3/5 = 3/25
second selection: a blue ball from A and one red ball from B, the probability is (remember that now we have one ball less in each urn):
Pa = 4/4, Pb = 2/4, P = 1*2/4 = 1/2
for the third selection we have that we again need to take a blue ball from A and a red ball from B, here the probability is:
Pa = 3/3, Pb = 1/3, P = 1*1/3 = 1/3
the total probability will be the product of the 3 selections
Pt = (1/3)*(1/2)*(3/25) = 0.02
but we have 3 possible permutations of those selections, in one we took the red ball from A in the first selection, other were we took it in the second, and others where we took it in the third.
So the actual probability is 3*Pt = 3*0.02 = 0.06
The government of a large city needs to determine whether theâ city's residents will support the building of a new Middle School. The government decides to conduct a survey of a sample of theâ city's residents. Which one of the following procedures would be the most appropriate for obtaining a sample of theâ city's residents?a. Survey a random sample of the employees and inmates at the old jail. b. Survey every fifth person who walks into City Hall on a given day. c. Survey a random sample of persons within each geographic region of the city. d. Survey the first 200 people listed in the cityâs telephone directory.
Answer:
c. Survey a random sample of persons within each geographic region of the city.
Step-by-step explanation:
Since the government intends to conduct the survey on a sample of the city residents. The sample must be random and a true representation of those who live in the city. It is therefore important that the survey is carried out on a random sample of persons within each geographic region of the city.
All other options are not true representation of the city's population.
The most appropriate procedure for obtaining a sample of a city's residents that will support the new Middle School is to survey a random sample of persons within each geographic region of the city.
The government of a large city needs to determine whether the city's residents will support the building of a new Middle School. When deciding on the most appropriate procedure for obtaining a sample of the city's residents, the goal is to ensure that the sample is both random and representative of the entire population. Out of the given options:
Survey a random sample of the employees and inmates at the old jail would not be representative of the entire city.
Survey every fifth person who walks into City Hall on a given day could have selection bias and might not be a random sample.
Survey a random sample of persons within each geographic region of the city would likely be the most appropriate method, as it ensures that all areas of the city are represented.
Survey the first 200 people listed in the city’s telephone directory could result in a sample that is not random, as it excludes those not listed in the directory or those with unlisted numbers.
Therefore, the best option among those presented is to survey a random sample of persons within each geographic region of the city. This would provide a more accurate reflection of the city's residents' opinions regarding the new Middle School.
A cell phone is on sale for 30% off. If the sale price is $239.89, what is the original price?
Answer:
$342.7
Step-by-step explanation:
Let the sale price be x.
So,
x - 30% of x = $239.89
x - 30/100*x = 239.89
(100x-30x)/100 = 239.89
70x = 239.89 *100
x = 23989/70
x = $342.7
sale price = $342.7
Answer:
342.70
Step-by-step explanation:
Since 100%-30%=70% our equation will be:
0.70x=239.89
x=original price
0.70x=239.89
/0.70 /0.70
Divide both sides by 0.70
x=342.7
$342.70
What does 55 represent y=55x+20
it is the slope its not that hard to figure out
24 students of the 30 in Anderson’s class are wearing tennis shoes .He says that. 70% are wearing tennis shoes is he correct explain help me
Answer:
He is not correct
Step-by-step explanation:
70%=70/100= 0.7
70% of 30 =0.7x 30= 21 not 24
find 3 irrational number 5/7 between 9/11
Step-by-step explanation:
5/7 < 9/11
Square both to get
(25/49) < (81/121)
----------------------
Least common multiple of the fraction denominators is 81*121 because they
share no factors.
---------------------
Rewrite the fractions as
((25*121)/(49/121)) < (81*49)/(81*49))
Simplify to get:
3025/5929 < 3969/5929
-------------
pick some numbers between 3025 and 3969
like 3127, 3255, 3659
------------------------
Form the fractions: 3127/5929, 3255/5929, 3659/5929
----------------------
Take the square root of each:
sqrt[3127/5929], sqrt[3255/5929], sqrt[3659/5929]
------------------------
Each of these will be irrational numbers between 5/7 and 9/11
Answer:
Step-by-step explanation:
hello :
5/7 ≅ 0.71 9/11≅0.82
3 irrational number 5/7 between 9/11 are :
72/100 , 73/100 , 74/100
Solve for "a" in this radical equation.
45 points!!
Please show all work
Answer:
a = -1 and a = 4
Step-by-step explanation:
∛a³ + 4a² -3 = a + 1
a³ + 4a² - 3 = (a + 1)³
a³ + 4a² -3 = a³ + 3a² + 3a + 1
a² - 3a -4
(a + 1) (a - 4)
a + 1 = 0
a = -1
a -4 = 0
a = 4
Answer:
a = -1, a=4
Step-by-step explanation:
( a^3 +4a^2 -3) ^1/3 = a+1
We need to cube each side to get rid of the radical
( a^3 +4a^2 -3) ^1/3 ^3 = (a+1)^3
( a^3 +4a^2 -3) = (a+1)^3
Using the formula (x+y)^3=x^3+3x^2y+3xy^2+y^3
we can expand (a+1)^3 to a^3+3a^2+3a+1
( a^3 +4a^2 -3) =a^3+3a^2+3a+1
Moving all the terms to the left hand side
( a^3 +4a^2 -3) -(a^3+3a^2+3a+1) =a^3+3a^2+3a+1-(a^3+3a^2+3a+1)
Distribute the minus sign
( a^3 +4a^2 -3) -a^3-3a^2-3a-1 =0
Combine like terms
a^2 -3a-4 =0
Factor
(a-4) (a+1) =0
Using the zero product property
a-4 =0 a+1=0
a=4 a=-1
Check since we cubed each side for extraneous solutions
( a^3 +4a^2 -3) ^1/3 = a+1
a=4
( 4^3 +4 *4^2 -3) ^1/3 = 4+1
(64 +64 -3) ^1/3 =5
125 ^1/3 =5
5=5 True
a=-1
( (-1)^3 +4 *(-1)^2 -3) ^1/3 = -1+1
(-1 +4 -3) ^1/3 =0
0 ^1/3 =0
0=0 True