Write an exponential expression: choose a number between 0 and 10 to be the base and another number between 0 and 10, different from the base, to be the exponent. Label the base and the exponent. Then write the exponential expression in expanded form and standard form.
Answer:
In expanded form:
2^3 = 2 * 2 * 2 = 8
In standard form :
2^3
Step-by-step explanation:
Given the numbers in range (0 to 10)
Write an exponential expression :
Choosing from the range for the Base and the exponent
Base = 2
Exponent = 3
where ; 2 = base. ; 3 = exponent
In expanded form:
2^3 = 2 * 2 * 2 = 8
In standard form :
2^3
The perimeter of triangle ABC is 138 cm and BC || DE. Is triangle ABC = triangle ADE? Which conjecture supports your conclusion?
please help me it’s due in 30 minutes!!
Answer
yes triangle ABC is equal to triangle ADE
Step-by-step explanation:
x=46 cm, I got this after simplifying the equation of triangle ABC, x+4+x-4+x=138 cm, so this equation simplifies to 3x as +4-4 cancels out and there're 3 x's, so divide 138 by 3 and you get 46 cm, so AB is 50 cm, BC is 42 cm, and AC is 46 cm, this means EA is equal to EC, now here come a property of equality, EC attaches 2 parallel lines, as does DB, this means these 2 lines are transversals, so a number of angles are equal as well, corresponding angles are congruent, a.k.a equal to each other along with alternate interior angles, so since line DB AND line EC are transversals, we can deduce angle ADE is congruent to angle ABC, and angle DEA is equal to ACB, this mean we have 2 congruent angles, and 1 congruent set of sides, this mean that the 2 triangles are congruent due to Angle Angle Side, if your teacher doesn't use these terms, look it up, but the answer in short is yes, they are congruent or equal
We proved that ABC = triangle ADE by the concept of vertically opposite angles and given perimeter.
What is congruency?We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.
We know when a transversal intersects two parallel lines vertically opposite angles are equal hence DE ≅ CB.
Given, (x + 4) + x + (x - 4) = 138.
3x = 138.
x = 46.
Now, BC = ED = (46 - 4) = 42 cm.
Assuming DA to be y.
∴ 46 + 42 + y = 138.
y = 50
And AB = x + 4 = 50 hence proving triangle ABC = triangle ADE.
learn more about congruency here :
https://brainly.com/question/7888063
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How do you make a fraction like this: 72 3/16 into a whole number?
What you do is you take the denominator and you divide it into the numerator.
Solve for h(x)=x(x+3)(x-2)
Answer:
Your answer is:
If you are solving to find x then your answer would have been: x = 0 , -3 , 2
If you are solving to find the x and y intercepts your answer is: ↓
x-intercept(s): (0,0) (-3,0) (2,0)
y-intercept(s): (0,0)
If you are solving to find roots your answer is: x = 0 , -3 , 2
If you want the graph look below ↓
Step-by-step explanation:
Hope this helped : )
Riley is training to run in a 5-kilometer road race. She would like to
reduce her race time by 15 seconds each month that she trains.
The race is in 3 months. What is the total change in time that Riley
hopes to achieve?
1. What integer represents the change in race time Riley wants to
achieve each month?
2. What integer represents the number of months she will train?
3. Write a multiplication expression that can be used to find the total
change in time.
4. Complete the number line to find the product.
-15
--50-45-40-35-30-25-20-15 -10 -5
0
5. What is the total change in race time that Riley hopes to achieve?
Explain what this change represents in the situation.
Answer:
1. -15
2. 3
3. -15 [tex]\times[/tex] 3
4. Kindly refer to the attached image.
5. -45, This change represents that achieving the goal will reduced the time by 45 seconds.
Step-by-step explanation:
Given that it is a 5 kilometre race.
Time to be reduced each month = 15 seconds
Total number of months left in the race = 3
1. Riley wants to achieve each month a decrease of 15 seconds.
Integer representing the change = -15
2. Change in time i.e. 3 months is represented by integer 3.
3. There are a total of 3 months and there is a decrease of 15 every month.
so, multiplication expression is: -15 [tex]\times[/tex] 3
4. Kindly refer to the attached image for the number line representation of the answer.
The arrow is from 0 to -45.
5. Total change in time is -45.
This change represents that achieving the goal will reduced the time by 45 seconds.
please help, i need it done soon
Answer:
Point C i think is: (33/8, 0)
Step-by-step explanation:
I hope this helps -w-
12. Which of the following numbers is largest?
(a) 1.099
(b) 1.11
©). 1.106
(d) 0.99
(e) 1.009
Please show the work
solve question please
Answer:
12, 160, 380
Step-by-step explanation:
Answer:
all of them are perfect square numbers since they can all be divided by four.
What is the formula for calculating slope? Explain it in full.
Answer:
Use slope formula
Step-by-step explanation:
To calculate the slope, you can use the slope formula which is the change in the height compared to the change in the width. Using ordered pairs, this is the change in the y-values divided by the change in the x-values or the rise divided by the run.
HELP PLEASE!!! Show how you got the answer as well!
Answer:
2 ans is 7 2x_4+2x_7=17
Find m 1 if m 2=47.6
Answer:
try 130.4, I got my answer by subtracting 47.6 with 180. How'd I get 180? the angles are obtuse so that means it'll add up to 180. Thus the answer is 130.4
The first term of a sequence is 35 and the difference between the terms is always 8. a) Determine the nth term of the sequence.
Answer:
aₙ = 8n + 27Step-by-step explanation:
[tex]a_1=35\\d=8\\\\a_n=a_1+d(n-1)\\\\a_n=35+8(n-1)\\a_n=35+8n-8\\a_n=8n+27[/tex]
My son, Garrett, is 11 years old and has a piggy bank that he wants to fill. He started with 5 one dollar bills. Every Saturday he earns 3 more dollar bills for chores he’s completed. How many one dollar bills will he have by the end of 10 weeks?
1. Write a function model, M(x), that represents the total number of one dollar bills garret will have in one dollar bills, x
2. Identify the independent and dependent quantity.
3. The domain and range are represented as discrete or continuous?
4.What is a reasonable domain and range for this scenario?
Thanks for the help!
Answer:
1) M(x) = 5 + 3x
2) Dependent variable; 3 dollar bills
Independent variable: chores
3) Range is continuous
Domain is discrete
4) Range: 0 ≤ x ≤ 10
Domain: 5 ≤ M ≤ 35
Step-by-step explanation:
We are told he started with 5 number of $1 dollar bills and that every Saturday, he earns 3 more $1 dollar bill.
Thus, total number of $1 bills earned after x number of Saturdays(weekly) is;
M(x) = 5 + 3x
After 10 weeks, total number is;
M(10) = 5 + 3(10)
M(10) = 35
The dependent variable is the 3 more dollar bills earned each Saturday because it depends on chores he completed. While the independent variable is the chores because it doesn't depend on anything.
After 10 weeks, the range and domain will be;
Range: 0 ≤ x ≤ 10
For the; Domain:
For x = 1, M(0) = 5 + 3(0) = 5
M(10) = 35
Thus;
Domain: 5 ≤ M ≤ 35
The range could be all numbers in the interval from 0 to 10. Thus, it is continuous.
Whereas, the domain doesn't contain all the numbers in the interval from 5 to 35. Thus it is Discrete.
The figure shows three quadrilaterals on a coordinate grid: A coordinate plane is shown. Quadrilateral D has sides measuring 3 units and 1 unit. Quadrilateral F has sides measuring 3 units and 1 unit. Quadrilateral E has sides measuring 2 units and 6 units. Which of the following statements is true about the three quadrilaterals? D and E are similar but not congruent. E and F are similar and congruent. D and E are similar and congruent. F and D are similar but not congruent.
Answer:
A: D and E are similar but not congruent.
Step-by-step explanation:
hope this help
4. What is the slope of the line y = 3? (1 point)
Answer: Undefined or 0
Step-by-step explanation: Y=3 means there would just be a straight line across on (0,3) and when the slope and rise is 0 it means there is no slope or it is undefined
MY 1st QUESTION, WILL GIVE BRAINILIST!
Scott's retirement party will cost $8 if he invites 4 guests. What is the maximum number of guests there can be if Scott can afford to spend a total of $14 on his retirement party? Solve using unit rates.
7, because 8/4 = 2 which means that 1 guest = $2. So if we do 14 / 2 to see how many guests that would be, it's 7.
Answer:
7
Step-by-step explanation:
Well if it's $8 for 4 people then you have to divide to get the rate:
$8/4 = [tex]\frac{2}{person}[/tex]
now you can divide the disired amount to get the number of people:
$14/ [tex]\frac{2}{person}[/tex] = 7 people
Find 1/20 of 180 dollars
Answer:
9
Step-by-step explanation:
180÷20=9.
Could I please have BRAINLIEST?
Susan rides her bicycle 5 miles in 1/4 of an hour. At this rate, how many miles could she ride in 2 hours?
Answer:40 miles
Step-by-step explanation:
5*4=20
20*2=40
Answer:
40 miles
Step by Step Explanation:
Each 1/4 of an hour is 15 minutes. 2 hours is 120 minutes, so you divide 120 by 15, which gives you 8. You multiply 8 times the 5 miles , and you get 40 miles. :)
Pls halp due today thank you!
Answer:
k
Step-by-step explanation:
Evaluate 2√2/(√2-√3)
Choose two statements that are true fo of this expression. 5x^3- 6x^2 - 25/y + 18
Answer:
5x^3- 6x^2 - 25/y + 18 / y
Step-by-step explanation:
It would be that expression over y.
Sorry if its wrong I'm still learning too:)
Answer:
The answers are
*There are four terms.
*The term -25/y is a ratio.
Step-by-step explanation:
the temperature in Chicago is 38 digresses it is 40 colder in north Dakota what is the temperature in north Dakota
Answer:
It would -2 degrees in North Dakota.
Step-by-step explanation:
Subtract 40 from 38 to get to -2.
Which diagrams is not correct
Answer:
A
Step-by-step explanation:
How does the speed (miles per hour) represented by this relationship compare to that of the Peregrine Falcon?
through: (-4,5), slope=-7/4
Answer:
[tex]y=-\frac{7}{4}x-2[/tex]
Step-by-step explanation:
There is enough information to create an equation in point - slope form.
[tex]y-y_1=m(x-x_1)[/tex]
We have a slope of -7/4 and the point of (-4,5).
[tex]y-y_1=m(x-x_1)\rightarrow \boxed{y-5=-\frac{7}{4}(x+4)}[/tex]
Convert to slope intercept:
[tex]y-5=-\frac{7}{4}(x+4)\\\\ y-5=-\frac{7}{4}x-7\\\\y-5+5=-\frac{7}{4}x-7+5\\\\\boxed{y=-\frac{7}{4}x-2}[/tex]
Hope this helps.
Jayden is driving on a long road trip. He currently has 11 gallons of gas in his car. Each hour that he drives, his car uses up 0.75 gallons of gas. How much gas would be in the tank after driving for 4 hours? How much gas would be left after tt hours?
Answer:
8 gallons left
Step-by-step explanation:
0.75 times 4=3
11-3=8
hope this helps :)
Determine the height of the triangle if the area is 24 square inches and the base is 12 inches.
Answer:
4
Step-by-step explanation:
We use 1/2base times height to find the area and since we already have an area we just do 24= 6h then we divide 6 on both sides and height equals 4
Answer: 6 inches
Step 1: Subtract 12 because 12 iches is the base.
24 - 12 = 2
Step 2: Divide 12 by 2 because triangles have two equal sides.
12 ÷ 2 = 6
Answer = 6
Please help please help
Which is equal to 0.47?
CLEAR
SUBMIT
47
1,000
47
100
47
10
47
Answer: 47/100
Step-by-step explanation: 47/100 = 0.47.
Solve for x
X-5=-9
(10 points)
x-5 = -9
add 5 to both sides
x = -4
Answer:
x = - 4
Step-by-step explanation:
x - 5 = -9
=> x = -9 + 5
=> x = - 4