Answer:
1. C
2. D
3. A
4. [tex]\frac{-1}{27a^{3}b^{6}}[/tex]
Step-by-step explanation:
To evaluate or simplify expressions with exponents, we use exponent rules.
An exponent is only a short cut for multiplication. It simplifies how we write the expression.When we multiply terms with the same bases, we add exponents.When we divide terms with the same bases, we subtract exponents.When we have a base to the exponent of 0, it is 1.A negative exponent creates a fraction.When we raise an exponent to an exponent, we multiply exponents.When we have exponents with parenthesis, we apply it to everything in the parenthesis.We will use these rules to simplify.
1. [tex](-3)^{-4} = -3*-3*-3*-3=\frac{1}{81}[/tex] Choice C.
2. [tex](-7.4)^{0}=1[/tex] Choice D.
3.[tex]-(5)^{-1}=\frac{-1}{5}[/tex] Choice A.
4. [tex]-(3ab^{2})^{-3} =-(\frac{1}{3ab^{2}*3ab^{2}*3ab^{2}})=\frac{-1}{27a^{3}b^{6}}[/tex]
Which expression is equivalent to 7(a+2 when a=6
Answer:
56
Step-by-step explanation: You have to substitute 6 for a because it says, "Which expression is equivalent to 7(a+2) when a=6"
7(a + 2)
7(6 + 2)
42 + 14
= 56
To find the equivalent expression to 7(a+2) when a=6, substitute the value of a into the expression to get 56.
To find the expression equivalent to 7(a+2) when a=6, we substitute the value of a into the expression:
7(a+2) = 7(6+2)
7(6+2) = 7(8)
7×8 = 56
Therefore, the expression equivalent to 7(a+2) when a=6 is 56.
how to solve 18 + 3(9f-13)
Answer:
Distribute so it would be 18+27f-39
Step-by-step explanation:
Step 1: Distrbute 3 into (9f - 13)
3 • 9f = 27f
3 • 13 = 39
18 + 27f - 39
Step 2: Solve like-terms
(18 and 39 are the only like terms. 27f and 39 aren't like terms since 39 doesn't have a variable therefore, you can't solve 27f - 39)
39 - 18 = 21
ANSWER:
27f - 21
Hope this is correct!
- justy⊕∪rultimαtefαngirlWrite as a numeral: 200,000+20,000+3,000+200+20+8
[tex]200,000+20,000+3,000+200+20+8=223,228\\\\200,000\\.\ 20,000\\.\ \ 3,000\\.\ \ \ \ \ 200\\.\ \ \ \ \ \ \ 20\\\underline{+\qquad\ 8}\\223,228[/tex]
The sum of two numbers is 35. Their difference is 17. Find the numbers.
Answer:
x = 26, y = 9
Step-by-step explanation:
Let one number be x, and the other be y. Set the equations:
x + y = 35
x - y = 17
First, isolate the x in the first equation. Subtract y from both sides
x + y (-y) = 35 (-y)
x = 35 - y
Plug in 35 - y for x in the second equation
(35 - y) - y = 17
35 - 2y = 17
Isolate the variable. Note the equal sign, what you do to one side you do to the other side. Do the opposite of PEMDAS. First, subtract 35 from both sides
35 (-35) - 2y = 17 (-35)
-2y = -18
Isolate the variable (y). Divide -2 from both sides
(-2y)/-2 = (-18)/-2
y = -18/-2
y = 9
Plug in 9 for y in one of the equations.
x + y = 35
x + 9 = 35
Isolate the variable (x). Subtract 9 from both sides
x + 9 (-9) = 35 (-9)
x = 35 - 9
x = 26
~
what is 2.1x(1+4.2x)=5.3
Simplifying
2.1x + -1(1 + 4.2x) = 5.3
2.1x + (1 * -1 + 4.2x * -1) = 5.3
2.1x + (-1 + -4.2x) = 5.3
Reorder the terms:
-1 + 2.1x + -4.2x = 5.3
Combine like terms: 2.1x + -4.2x = -2.1x
-1 + -2.1x = 5.3
Solving
-1 + -2.1x = 5.3
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '1' to each side of the equation.
-1 + 1 + -2.1x = 5.3 + 1
Combine like terms: -1 + 1 = 0
0 + -2.1x = 5.3 + 1
-2.1x = 5.3 + 1
Combine like terms: 5.3 + 1 = 6.3
-2.1x = 6.3
Divide each side by '-2.1'.
x = -3
Simplifying
x = -3
Hope i was helpful!
Rex mixed x liters of fruit syrup with y liters of water to make a fruit punch. Three times the number of liters of water he mixed was 6 more than twice the number of liters of syrup he mixed. The total number of liters of syrup and water he mixed was 7 liters. Which graph best shows the number of liters of fruit syrup and water that Rex added to make the fruit punch?
Answer:
the solution is (3,4) (the second one)
Step-by-step explanation:
The correct graph is attached to the answer.
The amount of fruit syrup Rex added is: 3 liters
and the amount of water he added is: 4 liters.
Step-by-step explanation:x denote the amount of fruit syrup added and y denote the amount of water added.
It is given that:
Three times the number of liters of water he mixed was 6 more than twice the number of liters of syrup he mixed.
i.e. the equation that satisfies this condition is:
[tex]3y=2x+6\\\\i.e.\\\\2x-3y=-6-----------(1)[/tex]
i.e. the graph of this equation is a line that passes through (-3,0) and (0,2)
Also, The total number of liters of syrup and water he mixed was 7 liters.
Hence, the equation is:
[tex]x+y=7------------(2)[/tex]
i.e. the graph of this equality is a line that passes through (7,0) and (0,7)
Also, from equation (2) we have:
[tex]x=7-y[/tex]
Now, on putting this value of x in terms of y in equation (1) we get:
[tex]2(7-y)-3y=-6\\\\i.e.\\\\14-2y-3y=-6\\\\i.e.\\\\14-5y=-6\\\\i.e.\\\\14+6=5y\\\\i.e.\\\\5y=20\\\\i.e.\\\\y=4[/tex]
Also, on putting the value of y in equation (2) we get:
[tex]x=3[/tex]
Hence, the solution to the system of linear equation is:
(3,4)
A train went 224 miles in 4 hours. A jet is ten times as fast as the train. Find the jet’s speed. plz answer ASAP
Answer:
560 miles per hour
Step-by-step explanation:
First, what you do is divide 224 by 4.
224 ÷ 4 = 56
You do this because you need to find the rate it goes in one hour.
Next, you do 56 times 10.
56 × 10 = 560
Hope that helps!
560miles per hour is the jets speed .
What is Speed?Speed is the time rate at which an object is moving along a path,
Given,
A train went 224 miles in 4 hours
A jet is ten times as fast as the train.
We need to find the jets speed.
Speed = Distance / time
Train speed=224/4
=56miles/hour
So train travels 56 miles in one hour.
As given, A jet is ten times as fast as the train
So we have to multiply 10 with the 56
10×56
560miles per hour
Hence, 560miles per hour is the jets speed .
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PLEASE HELP!!!!!!!!!
Can someone please answer these?? Soon??
The measures of the angles and side lengths are:
m∠ BED = 130°
m∠ BEA = 50°
x = 7
y = 16.4
BE ≈ 23
BC ≈ 34
8. m∠ BED
∠DEB and ∠BED are supplementary angles, so their measures add up to 180°.
Therefore, m∠BED = 180° - m∠DEB = 180° - 50° = 130°.
9. m∠ BEA
∠BEA and ∠DEB are vertical angles, so they have the same measure. Therefore, m∠BEA = m∠DEB = 50°.
10. x
We can use the fact that the sum of the angles in a triangle is 180° to find x.
In triangle ABE, we have ∠BAE + ∠ABE + ∠BEA = 180°.
Substituting the given values, we get (7x - 2)° + 80° + 50° = 180°.
Solving for x, we get 7x = 50, so x = 7.
11. y
We can use the fact that the measures of the angles in a triangle add up to 180° to find y.
In triangle BCE, we have ∠BCE + ∠BEC + ∠CEB = 180°.
We are given that ∠BCE = 20° (since ∠BDE = ∠BCE, and we found m∠BDE in part 8), and we can find ∠BEC using the fact that it is supplementary to ∠BEA (which we found in part 9).
Therefore, ∠BEC = 180° - 50° = 130°.
Substituting these values, we get 20° + 130° + ∠CEB = 180°.
Solving for ∠CEB, we get ∠CEB = 30°.
Now, we can use the fact that ∠CEB and ∠DEB are vertical angles to find that ∠DEB = 30°.
Finally, we can use the fact that the sum of the angles in a triangle is 180° to find y in triangle BCD.
We have ∠BCD + ∠CDB + ∠DBC = 180°.
Substituting the given values, we get 30° + 90° + (5y - 22)° = 180°.
Solving for y, we get 5y = 82, so y = 16.4.
12. BE
We can use the Pythagorean theorem to find BE in triangle ABE.
We have AB^2 = AE^2 + BE^2.
Substituting the given values, we get (5y - 22)^2 = (3y)^2 + BE^2.
Simplifying, we get 25y^2 - 220y + 484 = 9y^2 + BE^2.
Solving for BE^2, we get BE^2 = 16y^2 - 220y + 484.
Substituting the value of y that we found in part 11, we get BE^2 = 16(16.4)^2 - 220(16.4) + 484 ≈ 531.4.
Taking the square root of both sides, we get BE ≈ 23.
13. BC
We can find BC using the Pythagorean theorem in triangle BCE.
We have BC^2 = BE^2 + CE^2.
Substituting the values we found for BE and CE, we get BC^2 = 23^2 + (3y)^2.
Substituting the value of y that we found in part 11, we get BC^2 = 23^2 + 3(16.4)^2 ≈ 1163.
Taking the square root of both sides, we get BC ≈ 34.
what is 2,190-2,910=
Answer:
-720
Step-by-step explanation:
2910 is obviously bigger than 2190 so your answer will result in a negative so what you could do is 2910-2190 which is 720 and add a negative in front of it.
The quadrilaterals ABBCD
and PQRS
are similar.
Find the length
of X
.
Final answer:
To find the length of X, we can use the concept of corresponding sides in similar figures. By establishing the ratio between corresponding sides AB and PQ, we can find the length of X. The length of X is found to be 2 units.
Explanation:
In order to find the length of X in the similar quadrilaterals ABBCD and PQRS, we need to find the corresponding sides that are proportional to each other. Let's say AB represents a side of ABBCD and PQ represents the corresponding side of PQRS. If AB is 6 units long and PQ is 3 units long, then the ratio of AB to PQ is 6:3, which simplifies to 2:1. Since the lengths of corresponding sides in similar figures are proportional, if AB has a length of 4 units, then PQ would have a length half of that, which is 2 units. Therefore, the length of X is 2 units.
Brandon buys a radio for $46.49 in a state where the sales tax is 7%.
Answer:
Brandon pays $49.74 in total
Step-by-step explanation:
$46.49 x 1.07 = $49.74
how much will it cost guys
Answer:
635 pounds hope you do good :)
Step-by-step explanation:
Answer:
Step-by-step explanation:
I would say probably 695E.The reason why I said that answer is because 30*2 equals 60.Then it took a additional 12 minutes and I know that 12*5 equals 60 so I divided 30 by 5.I got 6 and added it to 60 which got me 66.Then I multiplied that by 10.After that I just added the 35 to it.
he revenue, in dollars, of a company that produces jeans can be modeled by 2x2 + 17x – 175. The cost, in dollars, of producing the jeans can be modeled by 2x2 – 3x – 125. The number of pairs of jeans that have been sold is represented by x. The profit is the difference between the revenue and the cost, 20x – 50. If 75 pairs of jeans are sold, what is the company’s profit?
Answer:
So, the company profit if 75 pairs of jeans are sold is $1450
Step-by-step explanation:
The number of pairs of jeans that have been sold is represented by x
We are given
The profit is the difference between the revenue and the cost , 20x-50
Let's assume profit function as P(x)
[tex]P(x)=20x-50[/tex]
There are 75 pairs of jeans
so, x=75
we can plug x=75 and find profit
[tex]P(75)=20\times 75-50[/tex]
[tex]P(75)=1500-50[/tex]
[tex]P(75)=1450[/tex]
So, the company profit if 75 pairs of jeans are sold is $1450
A restaurant reports a net income of -1,242 over a three month period. What is the average income per month for that period, (Please give me the answer)
Answer:
-$414 per month
Step-by-step explanation:
If the net income over three months is -1242
Take that amount and divide by 3
-1242/3
-414
Jamie rolls a 6-sided die 30 times and determines that the experimental probability of rolling a 2 is 1/5. The theoretical probability of rolling a 2 is 1/6. What could Jamie do to make his experimental results more closely match the theoretical probability?
Answer:He can increase the number of trials.
Step-by-step explanation:
He can increase the number of trials.
He can decrease the number of trials.
He can increase the number of sides on the die.
He can decrease the number of sides on the die.
Answer:
increase the number of trials
Step-by-step explanation:
hope this helped;) <3
The area of the sheet of paper is square inches
What is the sum of the first seven terms of the geometric series? 3 + 12 + 48 + 192 + ... 4,372 12,288 16,383 65,535
Answer:
16,383 or C
Step-by-step explanation:
Answer:
Option 3rd is correct.
Step-by-step explanation:
Given: 3 + 12 + 48 + 192 + .......
We have to find : Sum of first seven term of the given Geometric series.
First term , a = 3
Common ratio , r = [tex]\frac{12}{3}=4[/tex]
Sum of the n term of series, [tex]S_n=\frac{a(1-r^n)}{1-r}[/tex]
So,
[tex]S_7=\frac{3(1-4^7)}{1-4}[/tex]
[tex]S_7=\frac{3(1-4^7)}{-3}[/tex]
[tex]S_7=-(1-16384)[/tex]
[tex]S_7=-(-16383)[/tex]
[tex]S_7=16383[/tex]
Therefore, Option 3rd is correct.
What is the probability that both spinners will land on 2? AMSWERS- A)1/12 B)1/6 C)1/4 D)1/3
ONE GRAPH IS 1,2,3 AND THE OTHER GRAPH SHOWS 1,2,3,4 OUTCOMES
Answer:
The probability that both spinners will land on 2 is A) 1/12.
Step-by-step explanation:
To get this answer you must:
-First, take the total number of outcomes and set that as you denominator, which would be 3.
-Since, your looking for the probability of two, and there is only one two you would put one as your numerator. By now you should have a fraction of: 1/3.
-Next, do the same exact thing for the next graph. Take the total number of outcomes for the graph which is 4, and set that as your denominator.
-Then, set one as your numerator since there is only one two in the other graph. You should now have a second fraction of: 1/4.
-Lastly, multiply both of the fractions. Multiply both of the numerator together and you should get one. Then, multiply both of the numbers which would result in you getting a number of 12.
1/3(1/4) = 1/12.
Megan purchased a new gadget for her technology hobby. She plans to sell it sometime in the future, however, its value depreciates monthly. The expression below shows the depreciated sales value of the gadget: 2020 – 22m What does the variable of the expression represent? The monthly depreciation value of the gadget. The amount of money Megan will get when she sells the gadget. The number of months Megan will wait to sell the gadget. The original value of the gadget.
Answer:
3. The number of months Megan will wait to sell the gadget.
Step-by-step explanation:
We have been given that Megan purchased a new gadget for her technology hobby. She plans to sell it sometime in the future, however, its value depreciates monthly.
The expression below shows the depreciated sales value of the gadget: [tex]2020-22m[/tex]
From above expression we can see that gadget's original value is $2020 and its value falls by $22 every month and m represents the number of months after which Megan will sell her gadget.
Therefore, the variable m represents the number of months Megan will wait to sell the gadget and 3rd option is the correct choice.
The variable m represents the number of months Megan will wait to sell the gadget and 3rd option is the correct choice. The variable m in the expression 2020 – 22m represents the number of months Megan will wait to sell the gadget.
The original value of the gadget is 2020, and the monthly depreciation value is 22.
So, the expression 2020 – 22m represents the amount of money Megan will get when she sells the gadget after m months.
If Megan waits for 0 months to sell the gadget, then m = 0 and she will get
2020 – 22 * 0 = $2020.
If Megan waits for 1 month to sell the gadget, then m = 1 and she will get
2020 – 22 * 1 = $1998.
Therefore, the variable m in the expression 2020 – 22m represents the number of months Megan will wait to sell the gadget.
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PLEASE ANSWER I’LL GIVE YOU BRAINLIEST
What is the value of the expression?
5 (9/12 - 1/4) + 0.5
Enter your answer in the simplest form.
Answer:
The answer is 3
Step-by-step explanation:
5( 9/ 12 − 1/ 4 )+0.5
=5( 3/ 4 − 1/ 4 )+0.5
=5( 1/ 2 ) + 0.5
= 5/ 2 + 0.5
=3
An office building casts a shadow that is 55 m long. At the exact same time, a 5 m tree casts a shadow that is 1.1 m long. Use similar triangle ratios, to calculate the height of the office building.
The ratio of the triangle is 55/1.1, which is 50/1.
This means that the building is 50/1 = x/5
x = 250
The office building is 250 m tall.
The height of the office building is calculated using similar triangle ratios, by setting up a proportion between the tree's dimensions and the building's shadow, and solving for the building's height to get 250 meters.
To calculate the height of the office building using similar triangle ratios, compare the tree's height and shadow length to those of the building. Since the tree is 5 m tall and casts a 1.1 m long shadow, we can set up a proportion with the building's shadow, which is 55 m long.
Step-by-step calculation:
Write the proportion using the tree's height and shadow: 5 m (tree height) / 1.1 m (tree shadow) = building height / 55 m (building shadow).
Cross multiply to find the building's height: 5 m × 55 m = 1.1 m × building height.
Perform the calculations: 275 m² = 1.1 m × building height.
Divide both sides by 1.1 m to solve for building height: building height = 275 m² / 1.1 m.
Complete the division: building height = 250 m.
What is the smallest number you can make that is divisible by 5 by using the following numbers: 6, 3, 5, 9, 4, and 1?
Answer:
5
Step-by-step explanation:
Steps:
1. 4 + 1 make five
2. 5 is divisible by five!!
Is 121 an irrational number?
Answer:
121 is a rational number because it can be expressed as the quotient of two integers: 121/ 1
Step-by-step explanation:
The number 121 is not a irrational number
How to determine the type of the numberFrom the question, we have the following parameters that can be used in our computation:
The number 121
When evaluated, we have
The number 121 = 121
The above number is represented by the quotient of 2 integers
using the above as a guide, we have the following:
We can conclude that the number is a rational number
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What type of correlation is suggested by the scatter plot?
Answer: no correlation is suggested bc it's al over the graph or the scatter plot or whatever u wanna call it. but there is no correlation.
Step-by-step explanation: hope this helps ;D
Someone please help me with this question? Thanks if you do!
∠CBA it's an inscribed angle.
An inscribed angle is an angle with its vertex "on" the circle, formed by two intersecting chords.
Inscribed Angle = 1/2 Intercepted Arc
Therefore
m∠CBA = 1/2(88°) = 44° → B.Identify all the numbered angles that are congruent to the given angle
Answer:
1: 3 4 7
2: 5 6
3: 1 4 7
4: 1 3 7
5: 2 6
6: 2 5
7: 1 3 4
Find d and the measure of each side of equilateral triangle KLM if KL=d+2, LM=12-d, and KM=4d-13
Answer:
all sides are 7 units
Step-by-step explanation:
Since the triangle is equilateral then all 3 sides are equal in length
equate any 2 sides and solve for d
KL = LM
d + 2 = 12 - d ( add d to both sides )
2d + 2 = 12 ( subtract 2 from both sides )
2d = 10 ( divide both sides by 2 )
d = 5
KL = d + 2 = 5 + 2 = 7
LM = 12 - d = 12 - 5 = 7
KM = 4d - 13 = (4 × 5) - 13 = 20 - 13 = 7
Complete this sentence: The Longest side of a triangle is always opposite the _________.
The longest side of a triangle is opposite the largest interior angle, same goes to the opposite. The shortest side of a triangle is opposite the smallest interior angle.
Hope this helps! <3
Answer:
Largest angle
Step-by-step explanation:
In any triangle, the longest side is opposite the largest angle. The smallest side is opposite the smallest angle.
f(x) = x + 5 If you know that the range is {0, 10}, then... The domain must be
The range of f(x) = x + 5 is the set {0, 10}.
Therefore
x + 5 = 0 and x + 5 = 10
x = -5 and x = 5
The domain is {-5, 5}.what is the algebr expression for the following word phrase: the produc of 4 more then x and 6?
a)4(x+6)
b) 6(x+4)
c)6+(x+4)
d)6-(x+4)
Answer:
b) 6(x + 4)
Step-by-step explanation:
The given word phrase "The product of 4 more than x and 6"
4 more than x = 4 + x
The product "4 + x" and 6
6(x + 4)
Answer: b) 6(x + 4)