Answer:
4t(t+3), 5k²(2k-3), 4x²(2x-5), t=0 and t=1/3, y=0 and y=-2, n=0 and n=-7/4
Step-by-step explanation:
To factor these, we can factor out a constant and/or variable. For number 12, these terms have 4t in common (you can divide any term in the expression by 4t and have no remainder), so we can pull that out. This makes 4t(t+3) because if you distributed, you would end up with the same answer. The answer for 12 is 4t(t+3).
For 13, we do the same thing, except with 5k². When we pull this out of the equation, we end up with 5k²(2k-3), which is the factored expression.
For 14, we can take out 4x². This becomes 4x²(2x-5), the factored expression.
For 15, we actually have to solve, so we can take out a t. This is t(3t-1)=0. We can set both terms (one outside the parentheses and the other one inside the parentheses) equal to zero to solve. t=0, 3t-1=0. To solve the second equation for t, you use inverse operations and end up with t=1/3. The answers are 0 and 1/3.
For 16, we have to solve as well, so take out a 5y. 5y(y+2)=0. Solve for y again. 5y=0, y+2=0. y=0, y=-2 are the answers.
For 17, take out a 3n. 3n(7+4n)=0. Solve for n. 3n=0, 7+4n=0. n=0, n=-7/4 are the answers.
How to write in scientific notation
The answer to that is 4 × 10 ².
CANNN SOMEONEE PLEASEE HELP THIS IS DUE AAT 6:00
In one full day, a kudzu vine can grow 15 inches in length. How many inches per hour is this?
2. Allison threw a baseball that traveled 145 feet in 2 ½ seconds. What was the average speed of the ball in feet per second?
3. Erica runs 4 ½ meters per second. At this speed, how many meters can she run in 45 seconds?
4. Roland’s remote control boat has a max speed of 25 miles per hour. How many miles can Roland’s boat travel in 1/3 of an hour?
5. Anna can walk 10 miles in 4 hours. At this rate, how many minutes does it take her to walk one mile?
Answer:
1. 0.625 inch
2. 58 feet per second
3. 202.5 meters
4. 8.333 miles
5. 0.4 hour or 24 minutes
Step-by-step explanation:
^^^^
7.34 greater than 7.304
Answer:
7.34 is greater than 7.304
Step-by-step explanation:
The number of sheets of paper available for making notebook is 75,000. Each sheet makes 8 pages of a notebook. Each notebook contains 200 pages. How many notebooks can be made from the paper available?
Each sheet makes 8 pages,
Therefore, total no. of pages = 75,000 × 8 = 600,000
No. of pages for each book = 200
Therefore, no. of notebooks made = 600,000 ÷ 200
= 3000
Write an equation of the line passing through the point A(0, 3) that is perpendicular to the line y = −1/2x−6.
Answer:
y = 2x + 3
Step-by-step explanation:
the opposite of 45 divided by 5
Answer:
-9
Step-by-step explanation:
Answer:
the opposite of division is multiplication
In the diagram below, the lines are parallel. m∠BCD = 52° and m∠EAB = 73°. What is the measure of ∠ABC?
Answer:
235°Step-by-step explanation:
∠EAB = 73
∠BCD = 52
125
∠ABC = 360 - 125
= 235°
In your biology class, your final grade is based on several things: a lab score, scores on two major tests, and your score on the final exam. There are 100 points available for each score. However, the lab score is worth 21% of your total grade, each major test is worth 22.5%, and the final exam is worth 34%. Compute the weighted average for the following scores: 81 on the lab, 75 on the first major test, 97 on the second major test, and 84 on the final exam.
Answer:
The weighted average for the given scores is 84.27
Step-by-step explanation:
The weighted average can be calculated from the formula
Weighted average = [tex]\frac{\Sigma wx}{\Sigma w}[/tex]
Where w is the weight
and x is the score
The scores are 81, 75, 97, and 84 while their respective weights are 21% (0.21), 22.5%(0.225), 22.5%(0.225), and 34%(0.34).
From the formula
Weighted average = [tex]\frac{\Sigma wx}{\Sigma w}[/tex]
Since we have four sets of values, we can write that
Weighted average = [tex]\frac{\Sigma wx}{\Sigma w}[/tex] = [tex]\frac{w_{1}x_{1} + w_{2}x_{2} + w_{3}x_{3} + w_{4}x_{4}}{w_{1} + w_{2} + w_{3} + w_{4}}[/tex]
Let 81, 75, 97, and 84 be [tex]w_{1}, w_{2}, w_{3},[/tex] and [tex]w_{4}[/tex] respectively; then
0.21, 0.225, 0.225, and 0.34 will be [tex]x_{1}, x_{2}, x_{3},[/tex] and [tex]x_{4}[/tex] respectively.
∴ Weighted average = [tex]\frac{(81)(0.21)+(75)(0.225)+ (97)(0.225) +(84)(0.34)}{0.21+0.225+0.225+0.34}[/tex]
Weighted average = [tex]\frac{17.01+16.875+21.825+28.56}{1}[/tex]
Weighted average = 84.27
Hence, the weighted average is 84.27
As a Boulder rolls from the tip of hill to the bottom how does its potential and kinetic energy change
A. potential and kinetic energy both increase
B. Potential increases and kinetic decreases
C. potential decreases and kinetic increases
D. potential and kinetic energy both decrease
Answer:
C
Step-by-step explanation:
The potential energy is how much it could move while kenetic is how much it is moving.
Choose the statements that are true about the two quadrilaterals. Check all that apply. They have the same base and height. They have the same perimeter. They have congruent sides. They have the same area. They have four right angles.
Answer:
They have the same base and height.
They have the same area.
Step-by-step explanation:
I just took the assignment.
Answer:
A and D! I took the Assignment on edge
Step-by-step explanation:
A county fair uses a chart....break even
Answer:
huh???
Step-by-step explanation:
Uh please help me. The teacher never taught us thiss
Answer:
im not sure i
Step-by-step explanation: just need points to ask another question
explain the steps to finding the vertex of g(x) = 3x2 + 12x + 15
Answer:
Vertex: (-2, 3)
Step-by-step explanation:
We first have to find the x - variable of the vertex point.
The formula to find the x - variable is x = -b/ 2a.
[tex]3x^{2} + 12x + 15[/tex]
a b c
Substitute the values into the formula.
x = - 12 / 2(3)
x = - 12 / 6
x = - 2 < - This is the x - variable
Now we have to find the y - variable of the vertex point.
To find the y - variable, we have to substitute the x value into the original equation ([tex]3x^{2} + 12x + 15[/tex]).
g(x) = y
[tex]y = 3(-2)^{2} + 12(-2) + 15\\[/tex]
[tex]y = 3(4) - 24 + 15[/tex]
[tex]y = 12 - 24 + 15[/tex]
[tex]y = - 12 + 15[/tex]
[tex]y = 3[/tex]
So, now that we have the x and y values, we can find the vertex which is (-2, 3).
Hope this helps!
The total of your dinner bill plus tip is $16.00. You left a $3.20 tip. Write an expression to describe this situation.
Answer:
y= 16x - 3.2
Step-by-step explanation:
The expression for the given situation will be $16-$3.20 = $12.8, where $12.8 is the cost of dinner only.
What is an expression?An expression in maths is a sentence with a minimum of two numbers or variables and at least one maths operation.
Given that, The total of your dinner bill plus tip is $16.00. You left a $3.20 tip, we need to create an expression for this information,
The total cost = $16
Given for tip = $3.20
The dinner will cost = $16-$3.20 = $12.8
Therefore, the expression can be $16-$3.20 = $12.8
Hence, The expression for the given situation will be $16-$3.20 = $12.8, where $12.8 is the cost of dinner only.
For more references on expressions, click;
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What is the inverse function of f(x)=2/3x+10
Answer:
the inverse fuction is g(f(x))=x f-1(x)=3 times 2-15
Step-by-step explanation:
i think its correct
Deena deposited $48 in a new bank account. After buying groceries, she had $19 left in the account. Then she paid her cell phone bill, which was $31. Select all the true statements about Deena’s account
Answer: there are no statements...
Step-by-step explanation:
After paying her cell phone bill, Deena had –$12 in the account. The correct option is C.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Deena deposited $48 in a new bank account. After buying groceries, she had $19 left in the account. Then she paid her cell phone bill, which was $31.
The account balance will be:-
Account = 19 - 31
Account = $-12
The correct option is C.
The complete question is given below.
Deena deposited $48 in a new bank account. After buying groceries, she had $19 left in the account. Then she paid her cell phone bill, which was $31. Select all the true statements about Deena’s account.
To start, Deena had a positive balance.
In this situation, 0 represents an empty bank account.
After paying for groceries, Deena had a negative balance.
After paying her cell phone bill, Deena had –$12 in the account.
The smallest balance in the account was $19.
To know more about an expression follow
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Wendy is told ahead of time that she will need to purchase about 12 gallons of paint in order to cover the entire house. Write equivalent ratios to determine the amount of green and white paint she will need to purchase. Be sure to explain how many gallons she will need of each color of paint.
Show work plz
Answer:
Step-by-step explanation:
She will need to purchase 48 quarters of paint
Steve has 12 guppies. their population decreases by 3% each year .how many guppies will there be in one year?
Answer:
11 guppies
Step-by-step explanation:
using the function below, calculate f(4).
Answer:
D. 8
Step-by-step explanation:
Using the graph of the function above, f(4) can be easily determined by tracing the corresponding coordinate of x = 4. When x = 4, on the x-axis, y = 8 on the y-axis.
The value of f(4), simply means, what is the value of y when x = 4.
Thus, the value of f(4) = 8.
The right answer is D. 8.
work out the difference between 16/18 and 4/18
Answer:
the answer is 12/18
Step-by-step explanation:
16/18 - 4/18=12/18
common multiples of 18
18: 36 54 72 90 108 126 144 162 180
A decagon hos 10 sides
What is the perimeter of a regular
decagon with sides 17 centimetre's long?
Answer:
170
Step-by-step explanation:
17 times 10
Step-by-step explanation:
1 side = 17 cm
10 sides = 17×10 = 170 cm
Because given that it is a decagon of 10 sides.
170 is the answer.
Hope it helps !
☃️
I need the answer of this question
Answer:
62 cm.
Step-by-step explanation:
To make a pentagon one side of the triangle must equal one side of the square.
The length of each side of the square = 48/4 = 12 cm so one side of the triangle = 12 cm.
The sum of the other 2 sides of the triangle = 38 - 12 = 26cm.
So the required perimeter = 26 + 3(12)
= 26 + 36
= 62 cm.
Who founded the most successful mission in texas?
PLEASE BE FAST
Answer:
San Antonio de Valero Mission.
Step-by-step explanation:
San Antonio de Valero, one of five Spanish missions established by Franciscans in what is now San Antonio, is most commonly known as the site of the battle of the Alamo (1836).
plz mark as brainliest
Answer:
San Antonio de Valero Missione
Step-by-step explanation: Antonio de Valero, one of five Spanish missions established by Franciscans in what is now San Antonio, is most commonly known as the site of the battle of the Alamo (1836).
At the first swim meet of the year, 9 of the 10 students to enter the water were wearing goggles. Based on this information, if 600 students will enter the water for this meet, how many students can be expected to wear goggles?
Answer:
540
Step-by-step explanation:
Answer:
540
Step-by-step explanation:
9 out of 10 is 90% of 10. Therefore, you have to calculate what's 90% of 600. Which is 540. Hope this helps!
Help with this it’s 4750 Divided bye 25
Answer:190
Step-by-step explanation:
ANSWER NOW PLS
х
х
60°
у
60°
y = [? ]
Enter
Answer:
90°
Step-by-step explanation:
2x = 60° and x = 30 the sum of interior angles in a triangle is = 180°
60° + 30° + y = 180°
y = 90°
A study found that 152 Adults out of 1056 drink coffee in the morning.
Write the proportion as ratio, percent, and decimal.
Answer:
Ratio = 152 : 1056
Percent = [tex]\frac{152}{1056} *100=14.39[/tex]
Fraction = [tex]\frac{152}{1056}[/tex]
Answer:
Ratio: 152:1056
Percent: 14.4
Decimal: 0.144
Step-by-step explanation:
It should be the answer but you may double check on a calculator.
What is the slope of the line with equation y-3=-1/2(x-2)?
Answer:
The answer is m = -1/2
Step-by-step explanation:
1. (!0 Points) What is the combined Boyle's Law, Charles Law, Gay-Lussac Law equation that
relates initial pressure, volume and temperature to a final pressure, volume, and
temperature?
Answer:
he Pressure-Volume Law. Boyle's law or the pressure-volume law states that the volume of a given amount of gas held at constant temperature varies inversely with the applied pressure when the temperature and mass are constant.
Step-by-step explanation:
3. If a unit price label has a unit price of 13.5 cents per ounce, how much is the total price for a 24 ounce
package?
Answer:
324 cents or 3.24 dollars
Step-by-step explanation:
13.5 multiplied by 24=324