Answer:
1.The correct answers here are the options A and C.
Under the United States Constitution, the powers that the states possess are those that are not given to federal government and those that are not prohibited by the Constitution itself. This is clearly seen here in the 10th Amendment. The states are free to set forth any laws that are constitutional so this does not mean any powers people want.
2.The correct answer here is the option A.
John C. Calhoun believed as did some other prominent politicians that nullification of federal laws was justified as the Constitution does not expressly give Congress the right to control states. But nullification is actually not legal and not true because of the Supremacy Clause that states that the Constitution and the federal laws created in accordance with it are the supreme law of the land. Also, Article III of the Constitution states that it is the federal judiciary that has the final say in the constitutionality of a law.
3.The correct answer here is the option A.
When the citizens of the United States think about the Constitution they mainly think about the Constitution of the United States. But before the colonies came together to create the Union they already created their own individual constitutions and entered the Union as free states. But these have been changed after the establishment of the Union in order to more reflect the Constitution of the United States.
The Fifth Amendment prohibits federal and state governments from carrying out certain actions:
Double Jeopardy: It protects individuals from being tried twice for the same offense after being acquitted or convicted once.
Self-Incrimination: It grants individuals the right not to be compelled to be a witness against themselves in a criminal case.
Due Process: It ensures that no person shall be deprived of life, liberty, or property without due process of law.
Eminent Domain: It establishes that private property cannot be taken for public use without just compensation.
The Fifth Amendment is an essential part of the Bill of Rights and protects various individual rights in the United States legal system.
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Bob wants to distribute his fish and plants without any left over. 5 tanks 18 plants 24 fish
The problem is that Bob cannot evenly distribute his 24 fish and 18 plants across 5 tanks due to left over quantities when the numbers are divided.
Explanation:The problem presented is a math problem requiring the use of division and balance. It involves Bob trying to evenly distribute his 24 fish and 18 plants across 5 tanks. An effective way is to divide the quantities of fish and plants by the number of tanks. Therefore, if there are 5 tanks, 24 fish would be divided by 5, giving 4 fish with 4 left over, and 18 plants divided by 5 gives 3 plants each with 3 left over. This indicates that an even distribution is not possible with these numbers, because there would always be a excess quantity of fish and plants beyond what can be put in the 5 tanks.
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To distribute the fish and plants without any leftover, divide the total number of fish and plants by the number of tanks.
Explanation:To distribute the fish and plants without any leftover, Bob needs to divide them equally among the tanks. To find out how many fish and plants should be in each tank, we need to divide the total number of fish and plants by the number of tanks.
Number of fish in each tank = 24 fish / 5 tanks = 4 fish per tank.
Number of plants in each tank = 18 plants / 5 tanks = 3.6 plants per tank. Since we can't have a fraction of a plant, we can round it up to 4 plants per tank or distribute the leftover plant evenly among the tanks.
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12x+7<−11 OR 5x−8>40. Solve for the inequality
To solve the inequality 12x+7<−11 OR 5x−8>40, isolate x in each equation. The solutions are x < -1.5 and x > 9.6.
Explanation:To solve for the inequality 12x+7<−11 OR 5x−8>40, we first need to simplify each equation separately i.e isolate x in each separate equation.
For the inequality 12x + 7 < -11: Subtract 7 from both sides, which gives 12x < -18. Then divide by 12 which will yield x < -1.5.
For the inequality 5x - 8 > 40: Add 8 to both sides, which gives 5x > 48. Then dividing both sides by 5, we get x > 9.6.
Our answer is therefore x < -1.5 OR x > 9.6. This means that any x value satisfying either of these conditions will satisfy the original inequality.
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To solve the compound inequality 12x + 7 < -11 OR 5x - 8 > 40, solve each inequality separately to find x < -1.5 or x > 9.6. This means x can be any value less than -1.5 or greater than 9.6.
To solve for x in the given compound inequality, we need to handle each inequality separately.
Step-by-Step Solution:
First, solve the inequality 12x + 7 < -11:Subtract 7 from both sides: 12x < -18Divide both sides by 12: x < -1.5Second, solve the inequality 5x - 8 > 40:Add 8 to both sides: 5x > 48Divide both sides by 5: x > 9.6Therefore, the solution to the compound inequality is x < -1.5 OR x > 9.6.
This means x can be any number less than -1.5 or greater than 9.6.
Solve the equation.
-21 = (m/3)
A) m = 7
B) m = -7
C) m = -63
D) m = 63
Answer:
C) m = -63 is your answer
Step-by-step explanation:
Isolate the variable (m). Note the equal sign, what you do to one side, you do to the other.
Multiply 3 to both sides
-21 = (m/3)
(-21)(3) = (m/3)(3)
m = (-21)(3)
Combine like terms. Simplify.
m = -21 * 3
m = -63
C) m = -63 is your answer
~
In Iowa, the format for license plates is 2 numbers followed by 4 letters. However the letters I, O, W, A are not allowed and also the use of repeats is not allowed either. How many license plates are available?
Answer:
32291999
Step-by-step explanation:
Step 1
We will use the fundamental counting principle to work out the total number of possible plates. The fundamental principle of counting states that if a process can be completed in k steps, and that there are [tex]n_1[/tex] steps to complete the first step, [tex]n_2[/tex] steps to complete the second step and [tex]n_k[/tex] stepts to finish the kth step, then there are [tex]n_1\times n_2 \times ....\times n_k[/tex] ways to complete the steps.
Step 2
In this step we figure out the number of ways to complete each step given that no repetitions are allowed. Note that this will include the plate that has I,O,W,A.
The first step can be carried out in 10 ways because there are 10 digits.
The second step can be carried out in 9 ways because we are not allowed to repeat any digits.
The third step can be carried out in 26 ways as there are 26 letters of the alphabet.
The fourth step can be carried out in 25 ways because no repeats are allowed.
the fifth step can be carried out in 24 ways because two of the letters will already have been used.
The sixth step can be carried out in in 23 ways because three letters have been used already.
Step 3
The third step is to use the fundamental counting principle with the values listed in step 3. We will also subtract 1 from whatever value we get because we would have counted the combination with I,O,W,A in it. This calculation is shown below,
[tex]10\times 9\times 26\times 25\times 24\times 23-1=32291999[/tex]
To calculate the total number of available license plates in Iowa based on specific formats and restrictions.
License Plate Combination Calculation:
Since the format is 2 numbers followed by 4 letters, with restrictions on certain letters and repeat use, we calculate the possibilities step by step:
For numbers: 10 choices for each position, so 10×10 = 100 possibilities.
For letters: After considering the restrictions, we have 22 choices for the first letter, 21 for the second, 20 for the third, and 19 for the fourth, resulting in 22×21×20×19 = 155,760 possibilities.
Finally, multiplying the possibilities for numbers and letters gives us the total number of available license plates: 100 × 155,760 = 15,576,000.
What is the length of DE
The length of DE is 6 inches.
I can see that from the image, DE is a horizontal line segment that is 6 units long. This is because the x-axis is labeled in units, and DE spans 6 units on the x-axis.
we know that
The triangle XYZ and DEF are similar triangles
therefore
The ratio of their corresponding sides is equal
12/8 = 9/x
x = 8 * 9/12
x = 6 Units.
Therefore the length of DE is 6 inches.
Mark bought a concert ticket for $88, then sold it for $121. By what percent did he mark the ticket up?
Answer:
27.27%
Step-by-step explanation:
Formula:
%= 100*(revenue-cost)/ revenue
%= 100* (121-88)/121
By 27.27% the ticket price mark up.
What is Percentage increase?The ratio of the increased value to the original value, multiplied by 100, is the percentage increase formula. It is outlined as a percentage. Anything's value will increase if it is valued more, so will its proportion.
Given:
Mark bought a concert ticket for $88.
Mark sold it for $121.
Change in amount= 121- 88 = $33.
So, the percent increase
= (121- 88) / 88 x 100
= 33/121 x 100
= 3/11 x 100
= 27.27%
Hence, the percent mark up is 27.27%.
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You are going to spend &47.50 to play games at the fair. Each game costs 0.50$ per play. Which of those equations best shows how much money you have left as you play the games?
use the law of cosines to find each missing side round to the nearest tenth
Answer:
13.1
Step-by-step explanation:
yes
Felipe won a charity raffle. His prize will be randomly selected from the 9 prizes shown below.
The probability of Felipe winning a specific prize in the charity raffle is 1/9 or approximately 0.111.
Explanation:The subject of the question is Mathematics and the grade level is Middle School.
To determine the probability of Felipe winning a specific prize from the 9 prizes, we need to divide the number of desired outcomes (one specific prize) by the total number of possible outcomes (9 prizes in total). Therefore, the probability of Felipe winning a specific prize is 1/9, or approximately 0.111.
For example, if Felipe wants to calculate the probability of winning the first prize, he has 1 desired outcome (winning the first prize) out of 9 possible outcomes (9 prizes in total). Thus, the probability of winning the first prize is 1/9.
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julie was looking at the architect's blueprint of her house.The scale drawing on the blueprint was 1/4 in = 1 ft.On the blueprint what are the dimensions of her bedroom if the actual dimension of her bedroom are 12 ft by 16ft
Using the scale factor 1/4 inch equals 1 foot to convert Julie's actual bedroom dimensions to the blueprint scale, the bedroom measures 3 inches by 4 inches on the blueprint.
Explanation:To find the dimensions of Julie's bedroom on the architect's blueprint when the scale drawing is 1/4 inch equals 1 foot, we first need to establish the unit scale as a ratio. Given that the actual dimensions of her bedroom are 12 feet by 16 feet, we convert these measurements to inches on the blueprint using the provided scale.
We use the ratios:
By cross-multiplying and dividing, we can find the blueprint measurements:
For length:
For the width:
Therefore, the dimensions of her bedroom on the blueprint are 3 inches by 4 inches.
To find the blueprint dimensions of Julie's bedroom using the scale 1/4 inch = 1 foot, the actual dimensions of 12 ft by 16 ft are converted to 48 inches by 64 inches respectively by multiplying each dimension by the inverse of the scale ratio (4 feet / 1 inch).
To find the dimensions of Julie's bedroom on the blueprint, we must use the scale given which is 1/4 inch = 1 foot. This means that for every foot in actual size, it is represented by 1/4 inch on the blueprint. To convert Julie's actual bedroom dimensions, 12 feet by 16 feet, to blueprint dimensions, we multiply each by the inverse of the given scale.
Calculation steps for the length:
Write the scale as a ratio: 1/4 inch / 1 foot.Calculate the inverse of this ratio for the conversion: (1 foot / 1/4 inch) = 4 feet / 1 inch.Then multiply the actual length (12 feet) by the inverse ratio: 12 feet * (4 feet / 1 inch).It gives us 48 inches when we multiply 12 by 4.For the width, follow the same steps:
The actual width is 16 feet.Multiply by the inverse ratio: 16 feet * (4 feet / 1 inch).It results in 64 inches when we multiply 16 by 4.Therefore, the dimensions of Julie's bedroom on the blueprint should be 48 inches by 64 inches.
Solve the following multiplication and division problems. a. 8 T. 1,398 lb. 14 oz. × 6 b. 349 lb. 6 oz. ÷ 130 c. 6 T. 294 lb. ÷ 3,071
Answer: a) 278382 oz
b) 43 oz
c) 64.1 oz
Step-by-step explanation:
a) 8 T. 1,398 lb. 14 oz. × 6
First we need to change it in 'oz'.
As we know that
[tex]1\ ton=32000\ oz\\\\1\ lb=16\ oz[/tex]
so, it becomes,
[tex]8\times 32000+1398\times 16+14\ oz\\\\=278382\ oz[/tex]
8 T. 1,398 lb. 14 oz. × 6 becomes
[tex]278382\times 6\\\\=1670292\ oz[/tex]
b) 349 lb. 6 oz. ÷ 130
It becomes,
[tex]349\times 16+6\ oz\\\\=5590\ oz\\\\\text{ at last it becomes}\\\\=\frac{5590}{130}\\\\=43\ oz[/tex]
c) 6 T. 294 lb. ÷ 3,071
First it becomes,
[tex]6\times 32000+294\times 16\ oz\\\\=196704\ oz[/tex]
At last it becomes,
[tex]\frac{196704}{3071}\\\\=64.1\ oz[/tex]
Hence, a) 278382 oz
b) 43 oz
c) 64.1 oz
Answer:
A. 278382 ounces
B. 43 ounces
C. 64.1 ounces
How do I solve this ?
Look at the picture.
ΔZYX and ΔDYC are similar. Therefore the lengths of sides are in proportion:
[tex]\dfrac{DC}{ZX}=\dfrac{DY}{ZY}[/tex]
DC = x
ZX = 16
DY = a
ZY = a + a = 2a
Substitute:
[tex]\dfrac{x}{16}=\dfrac{a}{2a}[/tex]
[tex]\dfrac{x}{16}=\dfrac{1}{2}[/tex] multiply both sides by 16
[tex]\boxed{x=8}[/tex]
Answer: CD = 8The sum of three consecutive odd integers is 951 What are the integers
Answer:
315, 317, and 319
Step-by-step explanation:
So first we have to set the equation up. Since it is odd, we would write
[tex](x-2)+x+(x+2)=951[/tex]
where x is the middle integer. This gets you
[tex]3x=951[/tex]
Solving for x we get
[tex]x=317[/tex]
Since x was the middle, we subtract 2 and add 2 and put them together in ascending order, or 315, 317, and 319.
Because of its conversation and easy access to ATMs ___ is the most common form of payment today.
Because of its convenience and easy access to ATMs, debit cards are the most common form of payment today.
Debit cards are linked to your bank account and will allow you to access those available funds. If you swipe your debit card it will automatically remove funds from your bank account to pay for your items. You are also able to use it at an ATM to withdraw cash. Most debit cards have an allowed amount of money you can withdraw from an ATM in a day.
Answer:
Step-by-step explanation:
a Debit card
apex
The tax on a $400 painting is $34. What shiuld be the tax on a $700 painting.
Answer:
$59.50
Step-by-step explanation:
34/400=x/700
400x=23,800
x=59.5
Answer:
see below Please give brainliest
Step-by-step explanation:
To find the tax rate:
$34 ÷ $400 = 0.085 = 8.5%
To figure amount of tax:
$700 x .085 (8.5%) = $59.50 is the amount of tax to be paid
Which pair of rectangles is similar
A) 6,8 and 3,4
B) 6,8 and 2,4
C) 6,15 and 3,8
D) 9,15 and 3,4
If the rectangle a × b and the rectangle c × d are similar, then
a : b = c : d.
Check:
[tex]A)\ \dfrac{6}{8}=\dfrac{6:2}{8:2}=\dfrac{3}{4}\qquad\text{CORRECT}\\\\B)\ \dfrac{6}{8}=\dfrac{6:2}{8:2}=\dfrac{3}{4}\neq\dfrac{2}{4}\\\\C)\ \dfrac{6}{15}=\dfrac{6:3}{15:3}=\dfrac{2}{5}\neq\dfrac{3}{8}\\\\D)\ \dfrac{9}{15}=\dfrac{9:3}{15:3}=\dfrac{3}{5}\neq\dfrac{3}{4}[/tex]
what is -3/4 × -8 ?
Question
what is -3/4 × -8 ?
Answer:
6Step-by-step explanation:
-3/4 * (-8) =
-3 * (-2) =
6
a baseball bat and 8 baseballs cost $163.25. the bat cost $106.45 what is the cost c of one baseball
Answer:
7.10
Step-by-step explanation:
163.25- 106.45
divided by 8
7.10
The cost c of one baseball if, baseball bat and 8 baseballs cost $163.25, and the bat cost $106.45 is $11.36.
What is the equation?It is a mathematical statement that says, "this is equivalent to that," in other words. There appears to be an equal sign in the middle, a mathematical expression on the right, and a mathematical expression on the left.
Given:
The total cost of a baseball bat and 8 baseballs cost is $163.25,
The cost of one bat is $106.45,
Write the equation for the statement as shown below,
106.45 × 1 + 8c = 163.25
Here c is the cost of one baseball,
Solve the above equation as shown below,
106.45 + 8c = 163.25
8c = 163.25 - 106.45
c = 56.8 / 8
c = 11.36
Thus, the cost of one baseball is $11.36.
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What comes after 90 cents in coins?
Answer: 100 cents making it 1 dollar
Answer:
91 Cents
Step-by-step explanation:
The next and lowest coin is a penny.
90 + 1 = 91
The location of four buildings are on a coordinate grid are as follows: bank at (3, −3) post office at (−2, −3) dry cleaner at (−2, 6) pizza shop at (3, 6) Liza begins at the bank and then walks to the post office, then to the dry cleaner, and then to the pizza shop. Then she walks to the bank again, where she left her cell phone. The path between each building is a straight line. One unit on the coordinate grid equals 400 yards. What is the total distance Liza walked?
Answer:
11,200 yards
Step-by-step explanation:
First, plot all the points on a graph. Then draw Liza's path. Add them all up and multiply by 400.
28 · 400 = 11,200.
Liza walked 11,200 yards.
My graph is attached. The blue line is Liza's path and each coordinate point is labeled.
I hope this helps u!!
:)
Answer:
11,200 yards.
Step-by-step explanation:
Distance between two points is;
Distance = √(x²+y²)
Distance between Bank and post office = √(5²+0)
= 5
Distance between post office and dry cleaner = √(0+9²)
= 9
Distance between Dry cleaner and pizza shop = √(0+5²)
= 5
Distance between Bank and pizza shop = √(9²-0)
= 9
Total distance = 5+9+5+9
= 28 units
1 unit ⇒ 400 yards
28 units ⇒ (28×400)
⇒ 11,200 Units
f(x) = -3x^2+2x-5
What is f(-1)
Answer:
- 10
Step-by-step explanation:
Wherever you see an x, put in a minus 1.
f(-1) = -3(-1)^2 + 2x - 5
f(-1) = -3(1) + 2(-1) - 5
f(-1) = - 3 - 2 - 5
f(-1) = - 10
identify the two irrational numbers
Kevin has $26 and wants to rent a bicycle. The bicycle rents for $6.25 per hour . How many hours can Kevin ride without owing more money than he has
Answer:
4 hours
Step-by-step explanation:
6.25X4=25 so he'll have an extra dollar
(3v^5+8v^3_10v^2)_(-12v^5+4v^3+14v^2)
Answer:
(3v5+8v3+10v2)+(-12v5+4v3+14v2)
Final result :
-3v2 • (3v3 - 4v - 8)
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(((3•(v5))+(8•(v3)))+(10•(v2)))+(((0-(12•(v5)))+(4•(v3)))+(2•7v2))
Step 2 :
Equation at the end of step 2 :
(((3•(v5))+(8•(v3)))+(10•(v2)))+(((0-(12•(v5)))+22v3)+(2•7v2))
Step 3 :
Equation at the end of step 3 :
(((3•(v5))+(8•(v3)))+(10•(v2)))+(((0-(22•3v5))+22v3)+(2•7v2))
Step 4 :
Equation at the end of step 4 :
(((3•(v5))+(8•(v3)))+(2•5v2))+(-12v5+4v3+14v2)
Step 5 :
Equation at the end of step 5 :
(((3•(v5))+23v3)+(2•5v2))+(-12v5+4v3+14v2)
Step 6 :
Equation at the end of step 6 :
((3v5 + 23v3) + (2•5v2)) + (-12v5 + 4v3 + 14v2)
Step 7 :
Step 8 :
Pulling out like terms :
8.1 Pull out like factors :
-9v5 + 12v3 + 24v2 = -3v2 • (3v3 - 4v - 8)
Polynomial Roots Calculator :
8.2 Find roots (zeroes) of : F(v) = 3v3 - 4v - 8
Polynomial Roots Calculator is a set of methods aimed at finding values of v for which F(v)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers v which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 3 and the Trailing Constant is -8.
The factor(s) are:
of the Leading Coefficient : 1,3
of the Trailing Constant : 1 ,2 ,4 ,8
Let us test ....
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 -7.00
-1 3 -0.33 -6.78
-2 1 -2.00 -24.00
-2 3 -0.67 -6.22
-4 1 -4.00 -184.00
-4 3 -1.33 -9.78
-8 1 -8.00 -1512.00
-8 3 -2.67 -54.22
1 1 1.00 -9.00
1 3 0.33 -9.22
2 1 2.00 8.00
2 3 0.67 -9.78
4 1 4.00 168.00
4 3 1.33 -6.22
8 1 8.00 1496.00
8 3 2.67 38.22
Polynomial Roots Calculator found no rational roots
Final result :
-3v2 • (3v3 - 4v - 8)
Step-by-step explanation:
what is the equation of a line that has a slope of 3 and a y-intercept of -3
Answer:
y = 3x-3
Step-by-step explanation:
y = mx+b
m is your slope and b is your y-intercept
plug those numbers in
y = 3x-3
The slope-intercept form:
y = mx + b
m - slope
b - y-intercept
We have m = 3 and b = -3. Substitute:
y = 3x - 3What are the numerical measures of the angles?
x =
m∠DEA = °
m∠AEB = °
Answer:
What is the numerical sum of the degree measures of ∠DEA and ∠AEB?
✔ 180
What are the numerical measures of the angles?
x =
✔ 14.5
m∠DEA =
✔ 39.5
°
m∠AEB =
✔ 140.5
°
Step-by-step explanation:
If f(x)=x^3+3x^2+4x+5 and g(x)=5x, then what is d/dx[g(f(-1))]?
Answer:
The answer is 19.4322
Step-by-step explanation:
rachel has 2 hexagonally shaped birthday cakes. the smaller of which serves six people.If one length of one side of the larger cake is twice that of the smaller cake, how many people does the larger cake serve?
Answer:
When dealing with the area of ANY geometric shape the rule is, an increase that doubles one dimension, will equal an increase of 4 in area.
Basically, this is because 2² = 4
So, the larger cake will serve 6 * 4 = 24 people.
Step-by-step explanation:
Answer:
12 people
Step-by-step explanation:
rachel has 2 hexagonally shaped birthday cakes
Let A and B represent the two hexagonally shaped cakes.
the smaller of which serves six people.
Oh!, so Let A represent the Bigger cake; &
B to represent the smaller cake;
SO, B serves ------- 6 people
The question proceeds by stating it that ;
If one length of one side of the larger cake is twice that of the smaller cake
If the smaller cake side B is x
and the larger cake A be 2x
An hexagonally shaped cake is definitely going to have 6 sides
So;
For B
6x = 6
x = 1
Since x =6 , For A
2x = 2(1)
= 2
Therefore, the cake is going to serve 2 × 6 people
= 12 people
Enter the value of a and b that complete the sum: 3/x + 5/x^2 = ax+b/x^2
Answer:
a=[tex]\frac{3}{x^{2} }[/tex]
b=5
Step-by-step explanation:
we are given
[tex]\frac{3}{x} }[/tex]+[tex]\frac{5}{x^{2} }[/tex]=ax+[tex]\frac{b}{x^{2} }[/tex]
we will compare both sides of equaion
[tex]\frac{b}{x^{2} }[/tex]=[tex]\frac{5}{x^{2} }[/tex]
comparing both sides we get
b=5
and
[tex]\frac{3}{x} }[/tex]=ax
a=[tex]\frac{3}{x^{2} }[/tex]
hence
a=[tex]\frac{3}{x^{2} }[/tex]
and b=5
Answer:
a=3
b=5
Step-by-step explanation:
answers on edge
If two planes intersect, then they intersect in exactly one point. True or false?
Answer: False
A plane is a flat line that extends forever in all directions. Think of a flat piece of paper that does not bend or curve. If you intersect two planes, then they will form a straight line. This line will extend forever both directions. There are infinitely many points on this line of intersection. You can think of a book as a good example: the pages are the planes while the spine is the line of intersection.