Answer:
2.1 x 10^5 = 210,000.
Step-by-step explanation:
Convert 2.1 x 10^5 to ordinary form
10^5 = 100000
2.1 = 21/10
Thus.
2.1 x 10^5 = 21/10 * 100000 = 210,000
Ordinary form of 2.1 x 10^5 is 210,000.
The diagram shows the cross section of a solid metal prism of height 32
cm.
AD = 8.7 cm, AC = 8cm, AB = 6.4cm, BC = 4.8cm and CD = 3.3cm.
Find the volume of the prism in cm3
Type each step of your working on a separate line
Answer:
need this !
Step-by-step explanation:
We created this inequality to represent how Amy can meet her revenue goals:
-100x2 + 15,750x + 212,500 ≥ 243,600
In this activity, you’ll solve this inequality to find the minimum ticket price Amy should charge to meet her minimum revenue goal.
Part A
Set the inequality greater than or equal to 0.
Part B
Simplify the inequality by dividing by the GCF so the leading coefficient is positive.
Part C
Factor the left side of the inequality by grouping.
Part D
Solve the quadratic inequality. Remember to check any possible solutions for viability.
Part E
What is the minimum number of $2 increases that Amy needs to apply to the ticket price to reach her desired revenue?
Part F
What’s the minimum ticket price that Amy can charge and reach her goal? Recall that the ticket price is represented by 25 + 2x, where x represents the number of $2 increases.
Answer:
x = 2
Price = $29
Step-by-step explanation:
If x is the number of $2 dollars increases, then the minimum number of increases required to meet her goal is:
[tex]-100x^2 + 15,750x + 212,500 \geq 243,600\\-100x^2 + 15,750x -31,100\geq 0\\x^2 -157.5x + 311\geq 0\\x=\frac{157.5\pm\sqrt{157.5^2-(4*1*311)} }{2}\\ x_1= 2\\x_2=155.5[/tex]
The only realistic value is x = 2 $2 increases
If the original price was $25, then the new rice required to reach Amy's goal is:
[tex]P=25+2*2\\P=\$29[/tex]
The minimum ticket price is $29.
Answer: B: 2x^2-315x+622_< 0
C: (2x-311)(x-2)_< 0
("_<" means greaten than for equal to)
Factorise the following quadratic equations
Answer:
see explanation
Step-by-step explanation:
In 13 - 17
Consider the factors of the constant term which sum to give the coefficient of the x- term
13
x² - x - 42 = (x - 7)(x + 6)
15
x² + x - 6 = (x + 3)(x - 2)
17
x² - 27x + 50 = (x - 25)(x - 2)
19
r² - 25 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b) , thus
r² - 25
= r² - 5² = (r - 5)(r + 5)
1. (x+6)(x-7)
2. (x+3)(x-2)
3. (x-2)(x-25)
4. (x-5)(x+5)
I hope it helps
Marcus spent 10 hours doing his homework last week. This week he spent 11 hours doing homework. He says that he spent 110% more time doing homework this week. Is he correct?
Answer:
[ 11 - 10 ] / 10 x 100%
= 1 /10 x 100%
= 10%
Only 10% longer
Examine the expanded form. y ∙ y ∙ y ∙ y ∙ y ∙ y ∙ y ∙ y ∙ y ∙ y Which represents the expanded form in exponential form? 10y 10y y10 y10y
Answer:
[tex]y^{10}[/tex]
Step-by-step explanation:
When you do that operation, the y's become an exponential.
Answer:
its c
Step-by-step explanation:
SIMPLIFY (2a^2)^3/4a^4 please help
Answer: 2a^2
Step-by-step explanation:
2^3 = 8
8 / 4 = 2
————————
(a^2)^3 = a^6
a^6 / a^4 = a^2
Gabriella drives her car 300 miles and averages a certain speed. If the average speed had been 9mph less, she could have traveled only 240 miles in the same length of time. What is her average speed?
Answer:
Her average speed is 45 mph
Step-by-step explanation:
Let the average speed be x mph
Time taken complete the journey = distance/ average speed
Time = 300/x
Now , at 9 mph less, she could have only traveled 240 miles in same time
At 9 mph less, the average speed is x-9
so the time would be 240/x-9
since the time is same as before;
300/x = 240/x-9
Divide both sides by 60
5/x = 4/x-9
Cross multiply
5(x-9) = 4(x)
5x - 45 = 4x
5x -4x = 45
x = 45 mph
√5 (6 - 4·√3) I need this simplified
Answer:
[tex]6\sqrt{5}-4\sqrt{15}[/tex]
Step-by-step explanation:
[tex]\sqrt{5} \times (6 - 4\sqrt{3} )[/tex]
[tex]\sqrt{5}\times 6-\sqrt{5}\times4\sqrt{3}[/tex]
[tex]6\sqrt{5}-4\sqrt{5}\sqrt{3}[/tex]
[tex]6\sqrt{5}-4\sqrt{5 \times 3}[/tex]
[tex]6\sqrt{5}-4\sqrt{15}[/tex]
Answer:
6[tex]\sqrt{5}[/tex] - 4 [tex]\sqrt{15}[/tex]
Step-by-step explanation:
1. Multiply each term in the parentheses by [tex]\sqrt{5}[/tex]
2. calculate the product
3. solution :)
Train left a station at 835 am and arrives at its destination at 312 pm how long did the journey take
Answer:
5 hours and 50mins
Step-by-step explanation:
8:35 am + 25mins= 9:00am 9:00am+5hours=3:00pm+25mins=3:12pm 25mins+5hours+25mins=5hours and 50 mins
Hope this helps :)
What is the value of (4 minus 2) cubed minus 3 times 4? Negative 20 Negative 4 4 20
Answer:
-4
Step-by-step explanation:
(4-2)^3 - 3*4
PEMDAS
P arentheses
(2)^3 - 3*4
E xponents
8 -3*4
MD multiply and divide from left to right
8 - 12
AS add and subtract from left to right
-4
Answer:
-4
Step-by-step explanation:
When solving an expression, use PEMDAS!
4-2 = 2
2^3 (Cubed means to the 3rd) = 8
3 x 4
8-12 = -4
En una pizzeria se hicieron 8 docenas de pizzas. La tercera parte se vendio en el local y las cinco octavas partes son para enviar a domicilio ¿cuantas pizzas se vendieron en el local? ¿y cuantas pizzas se vendieron a domicilio? ¿que parte de las pizzas quedo sin vender?
Answer:
32 pizzas
60 pizzas
1/24
Step-by-step explanation:
Se hicieron 8 docenas de pizzas.
Una docena es 12, por lo tanto, el número de pizzas hechas fue:
8 * 12 = 96 pizzas
1/3 se vendieron en el local, esto significa que el número de pizzas vendidas en el local es:
1/3 * 96 = 32 pizzas
5/8 fueron para entrega a domicilio, por lo tanto, el número de pizzas vendidas en casa es:
5/8 * 96 = 60 pizzas
El número total de pizzas vendidas es:
32 + 60 = 92 pizzas
Esto significa que no se vendieron 4 pizzas. En forma de fracción:
4/96 = 1/24
which system of equations has no sulotion?
Answer:
Here is the answer ...... Check out it
Step-by-step explanation:
An inconsistent system of equations is a system of equations with no solution. We can determine if our system is inconsistent in three ways: graphing, algebra, and logic. Graphs of an inconsistent system will have no points of intersection.
Hope it helps ☺️ CLICK on ♥️
The diagram below is divided into equal parts. Which fraction of the parts is white?
Answer:
3/7
Step-by-step explanation:
3 parts out of 7 are white
Answer: The correct answer will be 3/7. :)
Step-by-step explanation:
The dot plot shows the number of pets owned by the students in jay of class
Answer:
where is the graph ?
If the scores of 3 students in a test are 5,6 and 7. Find the standard deviation of their scores.
Answer:
0.82
Step-by-step explanation:
Step 1: (Calculating mean)
=> [tex]\frac{5+6+7}{3}[/tex]
=> [tex]\frac{18}{3}[/tex]
=> Mean = 6
Step 2:
=> (5-6)² = (-1)² = 1
=> (6-6)² = (0)² = 0
=> (7-6)² = (1)² = 1
Step 3: (Adding all values calculated in step 2)
=> 1+ 0 + 1 = 2
Step 4: (Dividing the result in step 3 by no. of observations)
=> 2/3 = 0.67
Step 5: (Get square root to calculate the deviation.)
=> [tex]\sqrt{0.67}[/tex] = 0.82
A thirty-five ounce bottle of Pedialyte contains 2,500 mg of dextrose. If a child drinks 7 ounces straight from the bottle, how many mg of dextrose will he consume?
Answer:
500 mg
Step-by-step explanation:
amount of dextrose in 35 ounce Pedialyte = 2500 mg
dividing LHS and RHS by 35
amount of dextrose in 35/35 ounce Pedialyte = 2500 /35 mg = 500/7 mg
Thus,
amount of dextrose in 1 ounce Pedialyte = 500 /7 mg
since we have to find amount of dextrose in 7 ounce Pedialyte
we multiply LHS and RHS by 7
Thus,
amount of dextrose in 1 *7 ounce Pedialyte = 500 /7 * 7 mg = 500 mg
amount of dextrose in 7 ounce Pedialyte = 500 mg
Thus, As child consumed 7 ounces of Pedialyte, He consumed 500 mg of dextrose.
In order to avoid heavy traffic, Antonio can drive home after working less than 7 hours or after working more than 9 hours. How can this be written as a single compound inequality?
Answer:
h < 7 or h > 9
Answer:
C. h < 7 or h > 9
Jenny wants to buy a new dress for her first school dance. She borrows $25.63 from her sister to help pay for the dress. Then Jenny earns $16.33 helping her dad organize his home office. If she gives all the earnings to her sister, Jenny will still owe her sister $__ .
Answer:
$9.30
Step-by-step explanation:
If you subtract 16.33 from the total of 25.63 you will have 9.3 or 9.30. (They're the same number.)
Which situations can represent the expression n + 2?
Answer:
Many situations can do so.
Step-by-step explanation:
Imagine your father gave you $n (n dollars), your mother then gives you $2 dollars. How many dollars do you have now? n+2 dollars.
You have two assignments to complete for this term. Your Physics teacher decides to give you n assignments to do. How many assignments do you need to do to complete the term? n+2 assignments.
On Brainly, you have n points. You answered a Geography question which awarded you 2 points. How many points do you have now? n+2 points.
Hope it helps!
if joe earns 90 buck a month and he need 700 how many months will he need to work
Which process contributes to the formation of tornados? a. water droplets freeze, giving off energy b. the storm begins to rotate around a central eye c. warm air rises, resulting in a decrease in air pressure. d. a cold, dry air mass interacts with a warm, moist air mass
Answer:
D. A cold, dry air mass interacts with a warm, moist air mass.
Step-by-step explanation:
Tornadoes are very scary and kind of cool to look at. They have a great scientific reason behind them which we can easily understand. First, a funnel cloud forms that reaches down to the ground (you probably have seen this in video as a cloud that is heavily densed and circling). Then , warm air rises, resulting in a decrease in air pressure and finally, a cold, dry air mass interacts with a warm, moist air mass.
Answer:C. I think please don't get mad if it's wrong
Step-by-step explanation:
Hope this helps!
if x=2 what is x-6/8 + 5
Answer:
[tex] \frac{9}{2} [/tex]Solution,
X=2
Now,
[tex] \frac{x - 6}{8} + 5 \\ = \frac{2 - 6}{8} + 5 \\ = \frac{ - 4}{8} + 5 \\ = \frac{ - 4 + 5 \times 8}{8} \\ = \frac{ - 4 + 40}{8} \\ = \frac{36}{8} \\ = \frac{9}{2} [/tex]
hope this helps ..
Good luck on your assignment..
Help! Quadratic sequences! Find the next two terms in these: 1,4,9,16 1,8,27,64 ty!
Answer:
1. 25, 36
2. 125, 216
Step-by-step explanation:
in the sequence of 1.4.9.16. The next two terms are 25 and 36. This is because we are calculating the squares of the number in the term in other words, the nth term = n^2
For the sequence starting 1,8,26,64. The next terms are 125 and 216. This is because the nth term = n^3
Hope this helps
Can I get the answer to this?
m<JKL=45°
Please see the attached picture for full solution
hope it helps..
Good luck on your assignment...
Answer:45°
Step-by-step explanation:
A person places $728 in an investment account earning an annual rate of 4.4%, compounded continuously. Using the formula V = Pe^rt where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 16 years.
Answer:
Step-by-step explanation:
For us,
P = 728,
r = .044,
e is Euler's number (a constant), and
t is 16. Filling in:
[tex]V=728e^{(.044)(16)}[/tex] and
[tex]V=728e^{(.704)}[/tex] and
V = 728(2.02182385) so
V = $1471.89
A person places $728 in an investment account earning an annual rate of 4.4%, compounded continuously. The value of the account in t years is $1471.89.
We have given that,
P = 728,
r = 0.044,
e is Euler's number (a constant), and
t = 16.
What is the formula of the account in t years?The formula of the account in t years is,
[tex]V = Pe^{rt}[/tex]
Use the given value in the above formula,
V = 728(2.02182385)
Therefore we get,
V = $1471.89
Therefore, the value of the account in t years is $1471.89.
To learn more about the account balance visit:
https://brainly.com/question/25987747
#SPJ2
Describe the transformations from the parent function, and define the function of the following graph.
Answer:
From the parent graph f(x) = x², the graph moved horizontally left by 3 units and vertically down by 5 units.
The equation of the new graph is f(x) = (x + 3)² - 5
Step-by-step explanation:
What is the decimal multiplier to decrease by 60%?
Answer:
0.4
Step-by-step explanation:
To decrease something by 60% you multiply by 0.4
Answer:
0.4
Step-by-step explanation:
Say you have an object that costs $100.
Now 60% of $100 is $60.
Subtract $60 from $100 and you get $40.
Now $100 × [tex]x[/tex] = $40
[tex]x=0.4[/tex]
$100×0.4=$40
You need to multiply it by 0.4
Plz Answer this question fast, Thank You
Answer:
162
Step-by-step explanation:
20736 x 729 x 4/216 x 64 x27
Now go ahead and do the cancellations
20736/216 =96
729/27 =27
64/4 =16
so you end up getting 96 x 27 x1 /26
96/16 =6
so you get 27 x 6 =162
The discriminant of the function is
Answer:
A. is 0
Step-by-step explanation:
When the discriminant is 0, there is one solution to the function, meaning the parabola intersects the x-axis at only one point. Here, that point is (2, 0).
I hope this helps :))
Select the correct answer.
What is the solution to this system of equations?
x - 2y = 15
2x + 4y=-18
O A. x= 1, y= -6
B.
x= 1, y=-7
C. x= 3, y=-6
D. x= 3. y=-7
Reset
Next
Answer:
A. x=3, y= -6
Step-by-step explanation:
x - 2y = 15
2x + 4y= -18
Solving for x
x-2y=15
Subtract x from both sides
-2y= -x+15
Multiply both sides by -1
2y=x-15
Multiply both sides by 2
4y=2x-30
2x+4y= -18
Subtract 2x from both sides
4y= -2x-18
Combine equations:
-2x-18=2x-30
Add 2x to both sides
-18=4x-30
Add 30 to both sides
12=4x
4x=12
Divide both sides by 4
x=3
Solving for y
x-2y=15
Add 2y to both sides
x=2y+15
Multiply both sides by 2
2x=4y+30
2x + 4y= -18
Subtract 4y from both sides
2x= -4y-18
Combine equations:
-4y-18=4y+30
Add 4y to both sides
-18=8y+30
Subtract 30 from both sides
8y= -48
Divide both sides by 8
y= -6
Answer:
anwser c
Step-by-step explanation: