Answer:
1. -26
2. 46.9
3. -26
4. -5.31
5. 2.8666667
6. 4.375
7. Negative
8. Positive
9. D
10. A
11. 0
12. 0.19
13. -24
14. 24
15. B
16. B
17. B
18. (i dont know)
19. Negative
20. C
21. B
22. D
23. A
24. I dont know
25. 96
Fractions on Number Lines
The ant travels 1/3 of a block at a time and then rests.
Mark and label the point where it rests.
Answer:
The ant rests at 1/3 of a block.
Step-by-step explanation:
I used my brain.
the following questions use 3, 6, 5, 4, 7, 5, 6, 4 Round any decimal numbers to the
hundredths place.
4. Find the mean.
5. Find the median.
Answer:
Mean: 5
Median: 5
Step-by-step explanation:
To find the mean you have to add up all the numbers then divided by the total number of numbers you have.
- 3+6+5+4+7+5+6+4=40
- There are 8 numbers so we would do 40 divided by 8 to get our answer,5
To find the median you have to put the numbers from least to greatest then you have to find the middle number.- 3,3,4,4,5,5,6,6,7
You start by taking one number from the smallest number then from the largest number.
-3,3,4,4,5,5,6,6,7 goes to 3,4,4,5,5,6,6,7 then to 3,4,4,5,5,6,6 to 4,4,5,5,6,6 to 4,4,5,5,6 to 4,5,5,6 to 4,5,5 to 5,5 to 5
You repeat that until you are left with the middle number, sometimes you might be left with 2 numbers, you have to add those 2 numbers together then divide the sum by 2. With this situation there aren't 2 medians so you're just left with your answer, 5.
There are six wires which need to be attached to a circuit board. A robotic device will attach the wires. The wires can be attached in any order, and the production manager wishes to determine which order would be fastest for the robot to use. Use the multiplication rule of counting to determine the number of possible sequences of assembly that must be tested. (Hint: There are six choices for the first wire, five for the second wire, four for the third wire, etc.)
Answer:
\(S=720\)
Step-by-step explanation:
From the question we are told that
Six wire are attached to a circuit board
Generally using multiplication rule
Let number of possible sequence be given as S
Mathematically
\(S=6! =6*5*4*3*2*1=720\)
Therefore
Number of possible sequence \(S=720\)
The five number summary of a dataset was found to be: 45, 46, 51, 60, 66
An observation is considered an outlier if it is below:____________.
An observation is considered an outlier if it is above:____________.
Answer/Step-by-step explanation:
Given the five summary of a data set:
45 - min
46 - Q1
51 - Median
60 - Q3
66 - Max
Thus, any number less than \( Q_1 - (1.5*IQR) \), or any number that is greater than \( Q_3 + (1.5*IQR) \) would be considered an outlier.
The IQR of the data set = Q3 - Q1 = 60 - 46 = 14
Thus,
\( Q_1 - (1.5*IQR) = 46 - (1.5*14) = 46 - 21 = 25 \)
Therefore, an observation is considered an outlier if it is below: 25.
\( Q_3 + (1.5*IQR) = 60 + (1.5*14) = 60 + 21 = 81 \)
Therefore, an observation is considered an outlier if it is above: 81.
Using log evaluate 3^x=10
Answer:
x ≈ 2.09590327429
Step-by-step explanation:
You want the solution to 3^x = 10 using logarithms.
LogsTaking logarithms of both sides of the given equation, we have ...
x·log(3) = log(10)
Dividing by the coefficient of x gives ...
x = log(10)/log(3)
x ≈ 2.09590327429
__
Additional comment
If the logarithm to the base 10 is used, then this becomes ...
x = 1/log₁₀(3)
The meaning of "log( )" varies with the context. In high-school algebra, it usually means "log₁₀( )". In other contexts, it may mean "ln( )", the natural logarithm.
For the purpose here, it doesn't matter what base the logarithms have, as long as log(10) and log(3) are to the same base.
<95141404393>
The approximate value of x that satisfies the equation 3^x = 10 is approximately 1.46497.
To evaluate the equation 3^x = 10 using logarithms, we can take the logarithm of both sides of the equation. The most commonly used logarithm is the base 10 logarithm, also known as the common logarithm (log).
Taking the log of both sides, we get:
log(3^x) = log(10)
Now, we can apply the logarithmic property that states log(a^b) = b * log(a). Applying this property to the left side of the equation:
x * log(3) = log(10)
Next, we can divide both sides of the equation by log(3) to isolate the variable x:
x = log(10) / log(3)
Using a calculator, we can evaluate the right side of the equation:
x ≈ 1.46497
Therefore, the approximate value of x that satisfies the equation 3^x = 10 is approximately 1.46497.
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In this circle, mQR = 72°.
What is m/QPR?
A. 18°
B. 24°
C 36°
D. 72°
Please show work or give an explanation please
Answer:
< QPR = 36
Step-by-step explanation:
Inscribed Angle = 1/2 Intercepted Arc
< QPR = 1/2 ( 72)
< QPR = 36
What is the sum of negative 8/19 and negative 4/57
Answer:
I can only guess that your answer is 32/1083.
Step-by-step explanation:
Answer:
-0.49122807017 if you round it, it would be -0.50
your welcome :)
Simplify 4+9 X 2 + 3 - 1
\(\\ \sf\longmapsto 4+9(2)+3-1\)
tex]\\ \sf\longmapsto 13(2)+2\)
tex]\\ \sf\longmapsto 26+2\)
tex]\\ \sf\longmapsto 28\)
I NEED HELP PLEASE ASAP! :)
A 2600-pound truck is stopped at a red light on a hill with an incline of 25°. Ignoring the force of friction, what force is required to keep the truck from rolling down the hill? (Show work)
Answer:
( About ) 1,099 pounds
Step-by-step explanation:
The force required to keep this truck from rolling down the hill is opposed by the force of friction, comparative to the 2600 pounds of force against this friction. It should be that this opposing force is at work more towards the bottom of this hill, and thus the question asks the magnitude of latter force to keep this truck idle -
|| F || = sin( 25 ) * ( Fg ) = sin( 25 ) * ( 2600 lb ) = ( About ) 1098.80748 pounds
This can be rounded to a solution of 1099 pounds
3 1/2-1 3/8=
PLZZZZZZZZZ ANSWER ASAP
Answer:
2.125
Step-by-step explanation:
Add the complex numbers 3 + 11i and -3 - 11i.
When adding complex numbers, we add similar terms. This means that we add the real number parts, and then we add the imaginary number parts.
So,
\(\begin{gathered} (3+11i)+(-3-11i) \\ =\left[3+\left(-3\right)\right]+\left[11i+\left(-11i\right)\right] \\ =0+0i \end{gathered}\)The answer is option B, 0 + 0i.
John wishes to choose a combination of two types of cereals for breakfast - Cereal A and Cereal B. A small box (one serving) of Cereal A costs $0.50 and contains 10 units of vitamins, 5 units of minerals, and 15 calories. A small box (one serving) of Cereal B costs $0.40 and contains 5 units of vitamins, 10 units of minerals, and 15 calories. John wants to buy enough boxes to have at least 500 units of vitamins, 600 units of minerals, and 1200 calories. How many boxes of each cereal should he buy to minimize his cost?
Let's assume that John buys x boxes of Cereal A and y boxes of Cereal B. Then, we can write the following system of inequalities based on the nutrient and calorie requirements:
10x + 5y ≥ 500 (minimum 500 units of vitamins)
5x + 10y ≥ 600 (minimum 600 units of minerals)
15x + 15y ≥ 1200 (minimum 1200 calories)
We want to minimize the cost, which is given by:
0.5x + 0.4y
This is a linear programming problem, which we can solve using a graphical method. First, we can rewrite the inequalities as equations:
10x + 5y = 500
5x + 10y = 600
15x + 15y = 1200
Then, we can plot these lines on a graph and shade the feasible region (i.e., the region that satisfies all three inequalities). The feasible region is the area below the lines and to the right of the y-axis.
Next, we can calculate the value of the cost function at each corner point of the feasible region:
Corner point A: (20, 40) -> Cost = 20
Corner point B: (40, 25) -> Cost = 25
Corner point C: (60, 0) -> Cost = 30
Therefore, the minimum cost is $20, which occurs when John buys 20 boxes of Cereal A and 40 boxes of Cereal B.
14. Mashud and Iqbal are security guards at a top secret federal vault. They each work 8 hour shifts, consecutively. If Mashud begins his shift at 8 PM, what time will it be after they each have worked 4 shifts?
E. 4 PM
F. 8 PM
G. 12 PM
H. 12 AM
At the time 4 PM will it be after they each have worked 4 shifts. Option E is correct.
What exactly is simplification?Simplifying means making something easier to do or comprehend, as well as making something less difficult.
Mashud and Iqbal are security guards at a top-secret federal vault. They each work 8-hour shifts, If Mashud begins his shift at 8 PM,
The time will it be after they each have worked 4 shifts;
8 PM + 8 hour =4 AM
4 AM + 8 hour = 12 PM
12 PM+ 8 hour =8 PM
8 PM + 8 hour = 4 PM
Hence, option E is correct.
They will each have worked four shifts by the time it is 8 PM.
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A square has 12 cm length and it's area is equal to the area of a rectangle having length 16 cm.What is the breadth of the rectangle?
Step-by-step explanation:
Hope this helps you......
\( \displaystyle{ \blue{ \frak{DisneyPrincess29}}}\)
Answer:
Breadth = 9 cm
Explanation:
Find the area of square using; area of square: length²area of the square:
→ 12²
→ 144 cm²
The rectangle has similar area. rectangle area: 144 cm²use the formula to find area of rectangle:
length * breadth = area of rectangleusing the formula:
→ length * breath = 144
→ 16 * breadth = 144
→ breadth = 144/ 6
→ breadth = 9 cm
Need answer to this question please don’t understand it
we have to do alot for this
so first we gotta change 12.3 into a mixed fraction
n = 5 so 5 ÷ 12.3
If the perimeter of square garden is 84 feet what s the area of the garden
Answer:
441
Step-by-step explanation:
Get each side of the square
84/4 = 21
Multiply to get the area
21*21 = 441
Answer:
441 feet
Step-by-step explanation:
4 times s is how you find the perimeter of a square so we can put this in an equation
4s=84
/4. /4
s=21
Now to find area we multiply side by side or side squared
21x21
441
Hopes this helps please mark brainliest
solve 557+3 using number disks
Which table shows values for the equation y=3x+2
?
Answer:
Answer is option D
Step-by-step explanation:
Hope this helps:)
If x = 2, y = 3 and z = -5, find the value of square root of x + y squared + z squared
The value of square root of x + y squared + z squared is 30
How to solve algebra?x = 2, y = 3 and z = -5
\(( \sqrt{x + y} )^{2} + z ^{2} \)
substitute the value of x, y and z
\( = ( \sqrt{2 + 3} )^{2} + - 5 ^{2} \)
simplify the square root and square
\( = (2 + 3) + 25\)
\( = 5 + 25\)
\( = 30\)
Ultimately, x + y squared + z squared is 30
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Candace is flipping a coin a certain number of times. The theoretical probability of her flipping tails on all flips is 1/32 . How many times is she flipping the coin?
Answer:
Cadence is flipping her coin 32 times
Step-by-step explanation:
So the fraction is 1/32 which means 32 is the number of times the coin was flipped.
The figure below is a net for a right rectangular prism.
11 m
13 m
11 m
7 m
11 m
11 m
What is the surface area of the right rectangular prism, in square meters?
The surface area of the right rectangular prism is given as follows:
358 m².
How to obtain the surface area?The surface area of a prism is obtained with the sum of the areas of each part of the prism.
The parts that compose the prism are given as follows:
Two rectangles of dimensions 7 ft and 12 ft.Two rectangles of dimensions 5 ft and 12 ft.Two rectangles of dimensions 5 ft and 7 ft.The area of a rectangle is given by the multiplication of each of the dimensions of the rectangle.
Hence the surface area of the prism is calculated as follows:
S = 2 x (7 x 12 + 5 x 12 + 5 x 7) = 358 m².
(multiplication by two due to the two rectangles with each of the dimensions).
Missing InformationThe prism is given by the image shown at the end of the answer.
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Ben wants to play a carnival game that costs $2. In his pocket he has 5 red
tickets worth 35 cents each, and 15 blue tickets worth 10 cents each. Which
of the following systems of inequalities correctly represents the constraints
on the variables in this problem? Let r represent the red tickets and b
represent the blue tickets.
The inequality represents is 35r + 10 b ≥ 2
Ben wants to play a carnival game that costs $2. So from this, we can say that the total cost for the red and blue tickets should be less than $2.
Here it is given that r represents the red tickets and b represents the blue tickets.
There are 5 red tickets each costing 35 cents and 15 blue tickets each costing 10 cents.
So we have,
0≤ r ≤5
0≤ b ≤ 15
The total cost should be less than $2.
35r + 15b ≥ 2
Therefore the inequality is 35r + 15b ≥ 2.
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Please answer this correctly
\(answer = 17.85 {inches} \\ solution \\ radius = 5 \: inches \\ perimeter \: of \: quarter \: circle \\ = \frac{2\pi \: r}{4} + 2r \\ = \frac{2 \times 3.14 \times 5}{4} + 2 \times 5\\ = \frac{31.4}{4} + 10 \\ = \frac{31.4 + 10 \times 4}{4} \\ = \frac{31.4 + 40}{4} \\ = \frac{71.4}{4} \\ = 17.85 \: {inches} \\ hope \: it \: helps\)
Answer:
17.85 in
Step-by-step explanation:
2πr is formula for the circumference but \(\frac{1}{2}\)×π×r is the circumference for the quarter circle.
0.5×π×5=
2.5π≈
7.85
7.85+5+5=17.85 in
If the soccer field is 60 yards by 100 yards and the team has to run around it twice how many yards will they run?
Answer:
640 yards
Step-by-step explanation:
60(4)+100(4)=640
they will run each length 4 times to create 2 laps
(60+100+60+100)+(60+100+60+100)
lap 1 + lap 2
HELP!!!! Which statement best describes an advantage of indirect democracy over
direct democracy?
A. It can better reflect the democratic principle of majority rule.
B. It can be more responsive to citizens' interests.
C. It can make decision making more efficient.
O D. It can help citizens feel more connected to government.
SUBMIT
Answer:
C. It can make decision making more efficient.
Step-by-step explanation:
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. You have a credit card with a balance of $754.43 at a 13.6% APR. You have $300.00 available each month to save or pay down your debts. a. How many months will it take to pay off the credit card if you only put half of the available money toward the credit card each month and make the payments at the beginning of the month? b. How many months will it take to pay off the credit card if you put all of the available money toward the credit card each month and make the payments at the beginning of the month? Be sure to include in your response: • the answer to the original question • the mathematical steps for solving the problem demonstrating mathematical reasoning
a. It will take 7 months to pay off the credit card.
b. it will take 4 months to pay off the credit card.
Since, APR stands for Annual Percentage Rate. It is the interest rate charged on a loan or credit card, expressed as a yearly percentage rate. The APR takes into account not only the interest rate, but also any fees or charges associated with the loan or credit card.
a. If you put half of the available money each month toward the credit card, then you are paying $150.00 per month towards the credit card balance.
We can use the formula for the present value of an annuity to find how many months it will take to pay off the credit card:
PV = PMT × ((1 - (1 + r)⁻ⁿ) / r)
where:
PV is the present value of the debt
PMT is the payment amount per period
r is the monthly interest rate
n is the number of periods
Substituting the values, we get:
754.43 = 150 × ((1 - (1 + 0.011333)⁻ⁿ) / 0.011333)
Simplifying and solving for n, we get:
n = log(1 + (PV ×r / PMT)) / log(1 + r)
n = log(1 + (754.43×0.011333 / 150)) / log(1 + 0.011333)
n = 6.18
Therefore, it will take 7 months to pay off the credit card if you put half of the available money each month toward the credit card.
b. If you put all of the available money each month toward the credit card, then you are paying $300.00 per month towards the credit card balance.
754.43 = 300 ×((1 - (1 + 0.011333)⁻ⁿ) / 0.011333)
Simplifying and solving for n, we get:
n = log(1 + (PV × r / PMT)) / log(1 + r)
n = log(1 + (754.43× 0.011333 / 300)) / log(1 + 0.011333)
n = 3.43
Therefore, it will take 4 months to pay off the credit card if you put all of the available money each month toward the credit card.
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please help me! I will give brainliest!!!
Answer:
4925 cm²Step-by-step explanation:
Shaded region is the difference of the areas of the parallelogram and the white square:
A = 111*50 - 25*25 = 4925 cm²For parallelogram
Area
BH50(111)5550For square
Area
Side²25²625cm²Area of shaded region
5550-6254925cm²An online store sells two types of speaker docks for smartphones. The higher-priced speaker dock sells for $190 and the lower-priced speaker dock sells for $80. Last week the store sold three times as many lower-priced speaker docks as higher-priced speaker docks. Combined sales totaled $3,870. How many lower-priced speaker docks did it sell?
Using a system of equations, it is found that it sold 27 lower-priced speaker docks.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
For this problem, the variables are given as follows:
Variable x: Amount of the lower-priced speaker sold.Variable y: Amount of the higher-priced speaker sold.Last week the store sold three times as many lower-priced speaker docks as higher-priced speaker docks, hence:
x = 3y -> y = x/3.
Combined sales totaled $3,870, hence, considering the price of each speaker:
80x + 190y = 3870.
Since x = 3y:
240y + 190y = 3870.
430y = 3870
y = 3870/430
y = 9.
Hence:
x = 3y = 3 x 9 = 27.
It sold 27 lower-priced speaker docks.
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Jenna worked at an ice cream shop for 4.5 hours on Friday and 5.5 hours on Saturday. She made a total of $77.50. How much does Jenna get paid per hour?
Answer:
$7.75 per hour
Step-by-step explanation:
Object A has a charge of 4.5 x10-2 Coulombs, and object B has a charge of 8.8 x10-4 Coulombs. What is the product of their charges?
Answer:
3.96*10^-5 Coulombs
Explanation:
Given the following charges
Object A = 4.5 x10^-2 Coulombs
Object B = 8.8 x10^-4 Coulombs
Taking their product
A * B = 4.5 x10-2 * 8.8 x10^-4
A*B = (4.5*8.8)*(10^-2 * 10^-4)
A*B = (39.6)*10^-6
A*B = 3.96*10^1 * 10^-6
A*B = 3.96*10^{1-6}
A*B = 3.96*10^-5 Coulombs
Hence the product of their charges is 3.96*10^-5 Coulombs