Answer: A and D
I just worked on this!
Answer:
1 and 4... A and D
Step-by-step explanation:
Choose a positive number. Using this number as the base, evaluate it when the exponent is 3, 0, and -2. Show all work.
Answer:
1= 8
2= 1
3= ¼
Step-by-step explanation:
Let me choose 2. 2 becomes my base.
When the exponent is 3
1. 2³ = 2 * 2 * 2
= 8
When the exponent is 0
2. 2^0.
From the laws of indices. Exponent zero to any number = 1.
Therefore, 2^0 = 1
When the exponent is = -2
3. 2 `² = ¹/2 * 2
= ¼
Find the least common multiple of 7 3 2
When 5 is subtracted from the square of a number, the result is 4 times the number. Find the negative solution.
The negative solution is - 1.
let
the number = x
When 5 is subtracted from the square of a number can be represented as follows;
x²-5The result is 4 times the number. The remaining part of the equation can be represented as follows:
x²-5 = 4xLets find the negative solution below
x²- 5 - 4x = 0
x² - 4x - 5 = 0
x² + x - 5x - 5 = 0
x(x + 1) -5(x + 1)
(x-5)(x + 1)
x = 5 or -1
Therefore, the negative solution is - 1.
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By solving the quadratic equation x^2 - 5 = 4x, we get two solutions: x = 5 and x = -1. The negative solution to this equation is x = -1.
Let's denote the unknown number as x. The problem statement translates to the equation x2 - 5 = 4x. To find the negative solution, we must solve this quadratic equation.
First, we move all terms to one side to get x2 - 4x - 5 = 0.
We then factor this quadratic if possible or use the quadratic formula. In this case,
(x - 5)(x + 1) = 0.
Setting each factor equal to zero gives us the solutions x = 5 and x = -1.
The question asks for the negative solution, so x = -1.
line m passes through the points
(-3, 5) and (1, -2) what's the slope of m?
Answer:
-7/4
Step-by-step explanation:
We can find the slope of a line passing through two points by using
m = (y2-y1)/(x2-x1)
= (-2 -5)/(1 - -3)
= -7/ (1+3)
= -7/4
There are 850 toothpicks in a regular-sized box. If a jumbo box is made by doubling all the dimensions of the regular-sized box, how many toothpicks will the jumbo box hold?
Answer:
6800 toothpicks
Step-by-step explanation:
Capacity (how many can be held) is another word for volume.
The equation for volume is
V = lwh
And in the regular-sized box V = 850 toothpicks, so
850 = lwh
We need to double each dimension. Multiply length by 2, width by 2, and height by 2. 2*2*2 = 8, so multiply both sides by 8.
8* 850 = 8 * lwh
6800 = lwh
The jumbo box can hold 6800 toothpicks.
The jumbo box will hold 1700 toothpicks.
What is the volume of cylinder?The volume of cylinder is given by -
V = πR²h
Given is that there are 850 toothpicks in a regular-sized box. A jumbo box is made by doubling all the dimensions of the regular-sized box.
The volume {V} cubic units of the box can hold 850 toothpicks.
The volume {1} cubic units of the box can hold (850/V) toothpicks.
The volume {2V} cubic units of the box can hold (850/V x 2V) toothpicks.
(850/V x 2V)
850 x 2
1700
Therefore, the jumbo box will hold 1700 toothpicks.
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5 times a number is 14 less than the square of that number. Find the negative solution.
Answer:
-2
Step-by-step explanation:
Set up the equation where the number is x
5x=x squared -14
minus the 5x to make a quadratic equation
[tex]x^{2}[/tex]-5x-14=0
factor the equation
(x-7)+(x+2)=0
then you can find the opposites of the consonants,and find the negative answer is -2
Find the missing terms. Hint: State "r" first
2, _____, ______, ______, 1250
Answer:
10,50,250
Step-by-step explanation:
multiply by 5 each time
Answer: 2, 10, 50, 250, 1250
Step-by-step explanation:
The given sequence is a geometric sequence. The formula for determining the nth term of a geometric progression is expressed as
Tn = ar^(n - 1)
Where
a represents the first term of the sequence.
r represents the common ratio.
n represents the number of terms.
From the information given,
a = 2
n = 5
T5 = 1250
The 5th term, T5 is expressed as
1250 = 2 × r^(5 - 1)
1250/2 = r^4
625 = r^4
5^4 = r^4
r = 5
The second term is
2 × 5 = 10
The third term is
10× 5 = 50
The fourth term is
50 × 5 = 250
The distance between two cities on a map is 2 inches. The map scale is 1/4 inch = 5 miles. What is the actual distance between the cities?
Answer: The actual distance is 40 miles.
Step-by-step explanation:
First, it’s always easier for the first unit to be 1, so it’s easier to convert. To do get one from 1/4, you would multiply by 4.
1/4 x 4 = 1
However, we all know that if you do something to one side, you must do it to the other side, so we multiply 5 by 4.
5 x 4 = 20.
Your equation know looks like this:
1 inch = 20 miles.
Now, we just multiply both sides by 2, since that the amount of inches we need.
1 x 2 inches = 20 x 2 miles
2 inches = 40 miles
Therefore, the actual distance is 40 miles.
Natalia is calculating the areas of parallelograms using the following formula: Area=bh, where b represents the base of the parallelogram and h represents the corresponding height. For her next parallelogram, b= 8 m and h = 4 m What is the area?
Natalia’s friend gives her the parallelogram shown below. Using her formula, Area=bh, what area can she calculate for this parallelogram?
h=10 in. b= 14 in.
Final answer:
The areas of the parallelograms are calculated by multiplying the base by the height. The first parallelogram's area is 32 m², and the second parallelogram's area is 140 in².
Explanation:
Natalia is calculating the areas of parallelograms using the formula Area = base × height. For the first parallelogram with a base (b) of 8 meters and a height (h) of 4 meters, the area will be:
Area = base × height = 8 m × 4 m = 32 m².
For the second parallelogram given by her friend, with a base (b) of 14 inches and a height (h) of 10 inches, the area will be:
Area = base × height = 14 in. × 10 in. = 140 in².
This formula is essential for understanding the relation between the dimensions of a parallelogram and its surface area.
HELP ON A TEST
A triangle has side lengths 15, 36 and 39 inches. Which of the following statements are true? Mark all that apply.
The triangle is a right triangle.
The triangle is a Pythagorean triple.
The triangle's hypotenuse is 39 inches.
The triangle is not a Pythagorean triple.
I am a 7 digit even number the sum of my digits is 23 .My largest digit is in the hundreds place my smollest digit is in the tens place . My millions and tens thousands digits are the same the hundreds place is my only composit number .What number am i?
Answer:
There are two possibilities for the number. They are 3531902 and 3135902
Step-by-step explanation:
(i) Given that the sum of the digits = 23
(ii) Largest digit is in the hundreds place (5th digit)
(iii) Smollest digit is in the tens place (6th digit)
(iv) Millions and tens thousands digits are the same, (1st and 3rd digit)
(v) Hundreds place is my only composit number(5th digit)
The composite numbers < 10 are 4, 6, 8, 9
(vi) Since the number is an even number, the 7th digit must be either 0,2,4,6,8.
It cannot be 4,6,8 due to case (v) and it cannot be 0 due to case (iii), hence 7th digit is 2 and the 6th digit has to be 0.
(vii) 5th digit has to be either 6,8 or 9, and by making it as 6 or 8, there are less options and it doesn't satisfy other conditions and so 9 is the 5th digit.
The 1 - 4 digits has to be filled by 1,3,5,7. By probability and case (i), there are 2 combinations, they are 3531902 and 3135902.
Malia did push-ups and pull-ups in her physical education class. She did 24 push-ups and pull-ups combined, with each push-up taking her 2 seconds and each pull-up taking her 4 seconds. If she spent a total of 68 seconds doing the push-ups and pull-ups, how many pull-ups did she do?
A.2
B.4
C. 10
D.14
Answer:
10 pull
As 48 seconds + 20 seconds push = 68 seconds
Step-by-step explanation:
Because she did 10 push = 20 seconds = 2 seconds each
12 pull = 48 seconds = 4 seconds each
= 68 seconds combined.
Workings;
18 seconds found for the first set
We then find a divider of 68 and know that
6 x 3 = 18 seconds push
12 x 3 =36 seconds pull T= 54
14 left over = 1 x 12 seconds pull
+ 2 seconds push
= 10 push = 20 seconds combined.
= 12 pull = 48 seconds combined.
68/24 = 2.8- so 14 x 2 = 28 and 10 x 4 = 40 so the answer is 14 push and 10 pull
Answer:
It's 10.
Step-by-step explanation:
I just got it right on my unit test review.
Sally had 8 pennies in her bank she spend 5 of her pennies how many pennies does she have now?
Answer:
3 Pennies
Step-by-step explanation:
8 - 5 = 3, sally would have 3 left
Answer:
3 pennies
Step-by-step explanation:
Basically since she only has 8 pennies, and she used 5 of them, you subtract.
8-5=3
She has 3 cents.
Si les deux équipes travaillaient ensemble, elles finiraient le projet en 6 jours. Si les deux équipes travaillaient ensemble durant les deux premiers jours, l'équipe A aurait besoin de 10 jours supplémentaires pour terminer seule le reste du projet. En combien de jours chaque équipe réaliserait-elle le projet si elle travaillait seule?
Answer:
Je pense que la réponse est 15 jours
Step-by-step explanation:
There is a spinner with 15 equal areas, numbered 1 through 15. if the spinner is spun one time, what is the probability that the result is a multiple of 4 and a multiple of 3?
9514 1404 393
Answer:
1/15
Step-by-step explanation:
The only area that is a multiple of 4 and 3 is the one marked with a 12. The probability that the spinner will land on any one of the 15 areas is 1/15.
The probability of landing on a number that is a multiple of both 4 and 3 when spinning a spinner with 15 equal areas numbered 1 through 15 is 1/15, since there is only one number that satisfies both conditions, which is the number 12.
To determine the probability that the result is a multiple of 4 and a multiple of 3 when spinning a spinner with 15 equal areas numbered 1 through 15, we first need to find the numbers on the spinner that meet both criteria.
A multiple of 4 and 3 is also a multiple of 12, since lcm(4,3) = 12. The multiples of 12 within the range of numbers 1 through 15 are just the number 12 itself. So there is only one number on the spinner that is a multiple of both 4 and 3.
The probability (P) of landing on that number is:
P = (Number of favorable outcomes) / (Total number of possible outcomes)
P = 1 / 15
Therefore, the probability is 1/15
A typical stop sign is in the shape of a regular octagon. The length of a side of a stop sign is 38.7 centimeters, and the radius is 50.6 centimeters. Calculate the area of the stop sign to the nearest square centimeter.
Answer:
7231cm^2
Step-by-step explanation:
Please kindly check the attached file for explanation.
Answer:
The area of the octagon stop sign to the nearest square centimetres is 187 cm²
Step-by-step explanation:
The stop sign is in the shape of a regular octagon, therefore, the area is given by the following relation;
Area of regular octagon = 2 × (Side Length)² × (1 + √2)
Where:
Side Length = 38.7 cm
Area of regular octagon = 2 × 38.7 × (1 + √2) = 186.86 cm²
The area of the octagon stop sign = 186.86 cm²
The area of the octagon stop sign to the nearest square centimetres = 187 cm².
is -4/3p + (-2/5) equivalent to -4/3p - 2/5
Answer:
yes
[tex] - \frac{4}{3} p + ( - \frac{2}{5} ) = - \frac{4}{3} p - \frac{2}{5} [/tex]
Step-by-step explanation:
Because ,
[tex]( + ) \times ( - ) = ( - )[/tex]
Barton has 4 strawberries and Ona has 8.If they want to redistribute their strawberries so they each have an equal number ,how many strawberries should Ona give to barton?
Answer:
There are a total of
✔ 12
strawberries.
There are a total of
✔ 2
people.
The expression to find the mean, or balance point, is
✔ 12/2
✔ Ona
should give 2 strawberries to
✔ Barton
for the number of strawberries to be balanced.
Step-by-step explanation:
Barton only has four strawberries and needs two more, while Ona has eight and will share two.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that, Barton has 4 strawberries and Ona has 8 and they want to redistribute their strawberries so they each have an equal number.
We'll apply division by splitting into equal halves or groups, the division may be used to decide how to distribute a dish of cookies evenly among a group.
In order for Ona and Barton to have the same number of strawberries, the total number of strawberries must be divided in two.
=(8 + 4) / 2
= 12 /2
= 6
Thus, Barton only has four strawberries and needs two more, while Ona has eight and will share two.
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Find the mode for the following numbers 8,9,11,8
Answer:
The mode is 8
Step-by-step explanation:
Answer: 8 is the mode.
Step-by-step explanation:
Basically when finding the mode you have to find the number that was used the most. So I’m this case 8 was listed twice which makes it the mode!
sarah has 12 rubber band bracelets five of the bracelets are blue 1/6 of the bracelets are green the rest are red how many bracelets are red
Answer:
5
Step-by-step explanation:
First, get the number of green bracelets
Since they are 1/6, then this is equivalent to 1/6*12= 2 bracelets
Number of blue and green will be the sum of blue which is given as 5 and green already found to be 2
Blue and green=2+5=7
To get the number of red, we deduct the total blue and green feom the overal total
No. of red will be 12-7=5
Therefore, 5 bracelets are red
Find the area of each triangle.
1. a = 6ft, b = 11ft, c = 12ft
2. a = 2in, b = 4in, C = 38°
The price p and the quantity x sold of a certain product obey the demand equation p equals negative one fifth x plus 30 comma 0 less than or equals x less than or equals 150 (a) Express the revenue R as a function of x. (b) What is the revenue if 70 units are sold? (c) What quantity x maximizes revenue? What is the maximum revenue? (d) What price should the company charge to maximize revenue?
Answer:
The correct answer is a) R = = - [tex]\frac{1}{5}[/tex] [tex]x^{2}[/tex] + 30x; b) $ 1120; c) Maximum quantity is 75 units with maximum revenue being $1125; d) p = $15.
Step-by-step explanation:
Demand equation: p = - [tex]\frac{1}{5}[/tex]x + 30 , 0 [tex]\leq[/tex] x [tex]\leq[/tex] 150 ; where p is the price of the product and x is the quantity sold.
a) Revenue function by the problem is given to be R= p × x = - [tex]\frac{1}{5}[/tex] [tex]x^{2}[/tex] + 30x.
b) Revenue at x = 70 is given by 2100 - 980 = $ 1120.
c) For maximizing the R we differentiate it with respect to x and equate it to zero.
⇒ - [tex]\frac{2}{5}[/tex] x + 30 =0
⇒ x = 75.
As the second order derivative is negative at this point, this is the value of x that maximizes the revenue.
Maximum Revenue is at x = 75 and is equal to $1125.
d) Price charged by the company for maximum revenue is $15.
Sandy bought a soft drink for 4 dollars and 9 candy bars. She spent
a total of 49 dollars. How much did each candy bar cost?
answer choices
4c + 9 = 49
49 - 9 = 4c
49c + 4 = 9
9c + 4 = 49
Can someone please please help me :(
Answer:i think its 15 because if you take the km numbers and subtract them
Step-by-step explanation:
Plsssss help I don’t get this math at all and it’s due today plsss help meeeeee
Answer:
1.25 cm
Step-by-step explanation:
Draw a radius line from the center to one of the top corners. This forms a right triangle where the hypotenuse is r, the width is 1, and the height is 2−r. Using Pythagorean theorem:
(2−r)² + 1² = r²
4 − 4r + r² + 1 = r²
5 − 4r = 0
r = 5/4
r = 1.25
Bobby likes to hike the trails near his house. On Saturday, he spent 4 hours hiking 8 miles. On Sunday, he plans to hike 12 miles.
If he hikes at the same rate, how many hours will he spend hiking on Sunday?
Answer: I believe it will take Bobby 2 more hours to hike 12 miles in total it’s 6 hours
Bobby will spend 6 hours hiking on Sunday.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given that On Saturday, Bobby spent 4 hours hiking 8 miles. On Sunday, Bobby plans to hike 12 miles.
WE need to find the time he will spend hiking on Sunday.
Then 4 hours hiking = 8 miles.
12 miles = 4/8 x 12
= 1/2 x 12
= 6
Hence, it will take Bobby 2 more hours to hike 12 miles.
thus, he will spend 6 hours hiking on Sunday.
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The quality control team of a company checked 800 digital cameras for defects. The team found that 20 cameras had lens defects, 25 cameras had charging defects, and 6 cameras had both defects. What is the probability that a camera has a lens defect given that it has a charging defect?
Answer:
0.025
Step-by-step explanation:
-This is a conditional probability problem.
-Let L denote lens defect and C charging defect.
#We first calculate the probability of a camera having a lens defect;
[tex]P(lens)=\frac{Lens}{Total}\\\\=\frac{20}{800}\\\\=0.025[/tex]
#Calculate the probability of a camera having a charging defect:
[tex]P(Charging)=\frac{Charging}{Total}\\\\=\frac{25}{800}\\\\=0.03125[/tex]
The the probability that a camera has a lens defect given that it has a charging defect is calculated as:
[tex]P(L|C)=\frac{P(C)P(L)}{P(C)}\\\\=\frac{0.025\times 0.03125}{0.03125}\\\\=0.025[/tex]
Hence, the probability that a camera has a lens defect given that it has a charging defect is 0.025
The probability that a camera has a lens defect given that it has a charging defect is 6/25 or 0.24.
The question asks for the probability that a camera has a lens defect given that it has a charging defect. To find this probability, we use the concept of conditional probability. From the data given, 25 cameras have charging defects and 6 cameras have both defects. The probability that a camera has both a lens and charging defect among those with a charging defect is:
P(Lens defect | Charging defect) = P(Lens and Charging defect) / P(Charging defect)
Which translates to:
P(Lens defect | Charging defect) = Number of cameras with both defects / Number of cameras with charging defects
P(Lens defect | Charging defect) = 6 / 25
Therefore, the probability is 6/25 or 0.24.
PLEASE HELP IM DESPERATE
Mika has $12 and spends $2 each day
Answer:
Mika will have 0 dollars after 6 days.
Just by looking at this question, I dont know what im supposed to solve. Im guessing we are just trying to find how many days until Mika runs out of money.
Mika has $12 and spends $2 each day.
If we turn this into an equation, we will get 12-2x=0
12-2x=0 subtract 12 from both sides
-2x=-12 multiply both sides by -1
2x=12 divide by 2
x=6
Mika will run out of money in 6 days
Dale works at a mattress store, and makes a salary plus commission. He has a $500 weekly salary and makes a 5% commission for sales over $3,000. Let ƒ(x) = .05x and g(x) = x − 3000. Write the composition (f o g)(x) and (g o f)(x). Which one represents Dale's commission?
Answer:
1. [tex]\( f\circ g(x)=0.05x-150[/tex]
2. [tex]\( g\circ f(x)=0.05x-3000[/tex]
3. The first one represents Dale's commission
Explanation:
1. The composition of the function
[tex]\( f\circ g(x)=f(g(x)) \)[/tex]
means that you first apply the function g(x) and then f(x) on the output of g(x).
That is:
f(x) = 0.05xg(x) = x - 3000[tex]f(g(x)=0.05(x - 3000)[/tex]
[tex]f(g(x))=0.05x-150[/tex]
2. The composition of the function
[tex]\( g\circ f(x)=g(f(x)) \)[/tex]
means that you first apply the function f(x) and then g(x) on the output of f(x).
That is:
[tex]g(f(x))=((0.05x)-3000)=0.05x-3000[/tex]
3. Which one represents Dale's commission
To calculate Dales's commision you must subtract $3,000 from the sales, to find the sales over $3000. That is: x - 3,000, which is the function g(x).
Therefore, you first use g(x).
Then, you must multiply the output of g(x) by 0.05 to find the 5% of the sales over $3,000. That is: 0.05(g((x)) = 0.05(x - 3000) = 0.05x - 150.
Therefore, the composition that represents Dale's commission is the first one:
[tex]f(g(x)=0.05(x - 3000)[/tex]
[tex]f(g(x))=0.05x-150[/tex]