Answer:
-1
Step-by-step explanation:
1. subtract 4 from both sides
-x = x+2
2. subtract x from both sides
-2x = 2
3. divide both sides by 2
simplify
x= -1
Hope this helps :)
Mr. D math
Find the distance between (12,5) and (3,4) approximated to the 1 decimal place.
select the correct response
0.2
9.3
9.1
9.4
The distance between (12,5) and (3,4) approximated to the 1 decimal place is 9.1.
To find the distance between two points [tex]\((x_1, y_1)\)[/tex] and [tex]\((x_2, y_2)\)[/tex], we will use the distance formula:
Distance = [tex]\(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)[/tex]
In this case, [tex]\((x_1, y_1) = (12, 5)\)[/tex] and [tex]\((x_2, y_2) = (3, 4)\)[/tex].
Substituting these values:
Distance = [tex]\(\sqrt{(3 - 12)^2 + (4 - 5)^2}\)[/tex]
Distance = [tex]\(\sqrt{(-9)^2 + (-1)^2}\)[/tex]
Distance = [tex]\(\sqrt{81 + 1}\)[/tex]
Distance = [tex]\(\sqrt{82}\)[/tex]
Now, approximate value of [tex]\(\sqrt{82}\)[/tex] to 1 decimal place:
[tex]\(\sqrt{82} \approx 9.1\)[/tex]
So, the correct response is 9.1.
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Consider The Giant Wheel at Cedar Point again. The Giant Wheel is a circle with diameter 128 feet which sits on an 8 foot tall platform making its overall height 136 feet.
It completes two revolutions in 2 minutes and 7 seconds. Assuming that the riders are at the edge of the circle, find a sinusoid which describes the height of the passengers above the ground t seconds after they pass the point on the wheel closest to the ground.
Answer:
h(t) = 72 + 64·sin(2π(t -31.75)/127)
Step-by-step explanation:
The generic form will be ...
h(t) = a +b·sin(c(t -d))
The value of 'a' is the midline of the height function, halfway between the minimum (8) and the maximum (136).
a = (8 +136)/2 = 144/2 = 72
The value of 'b' is the amplitude of the height function, half the difference between the minimum and the maximum.
b = (136 -8)/2 = 128/2 = 64
The value of 'c' is the frequency of the motion in radians per second. It will be ...
c = 2π/(period in seconds) = 2π/127
The value of 'd' is the number of seconds from the minimum (8 ft) until the wheel first reaches the midline. It will be 1/4 of the revolution time:
d = 127/4 = 31.75
Then our finished sinusoidal function is ...
h(t) = 72 + 64·sin(2π(t -31.75)/127)
_____
Additional comment
If we were to use the cosine function instead, the equation could be simpler:
h(t) = 72 -64·cos(2πt/127)
The cosine already starts at its maximum value, so height will be at a minimum if we use the negative of the cosine function.
Todd and Tim are exercising. Todd does 20 push-ups at the same time as Tim does 30 push-ups. When Todd does
40 push-ups, how many push-ups does Tim do?
Answer:
50 pushups.
Step-by-step explanation:
simple pattern of adding 10 each time.
Marking as brainliest rn ! Write the congruent statement
Answer:
Same thing here as the last question, just matching congruent angles.
1. ΔXZY ≅ ΔQRP
2. ΔQRS ≅ ΔSCD
3. ΔGHI ≅ ΔGHT
Step-by-step explanation:
hope this helps. . .<3
good luck! UwU
Answer:
1.) ΔXZY ≅ ΔQRP
2.) ΔQRS ≅ ΔSCD
3.) ΔGHI ≅ ΔGHT
Hope this helps!
For every $100 Oliver gets paid, Oliver donates $25 to charity. How much will he have donated if he
earns $2,000?
Answer:
$500 donated to charity
Step-by-step explanation:
2,000 times 0.25 is 500
Answer:
$1500
Step-by-step explanation:
Oliver gives 1/4 of the amount he gets paid to charity therefore
2000/4= 500 (this is 1/4 of the amount he gets paid)
2000-500=$1500
He is left with $1500
help me for Brainlyist !!
Answer:
3,4
Step-by-step explanation:
please help me i’ll give brainlist
Answer:
See explanation below
Step-by-step explanation:
1. 0.65 = 65/100
not 65/1000
65/1000 is 0.065. We want 0.65.
2. 0.65 = 65/100 = 13/20
Leroi and Sylvia both put $100 in a savings account. Leroi decides he will put in an additional $20 each week. Sylvia decides to put in an additional 20% of the amount in the account each week. Complete the sentence to answer the question.
Answer:
440$
Step-by-step explanation:
Jax Incorporated reports the following data for its only product. The company had no beginning finished goods inventory and it uses
absorption costing
Sales price
$ 57.50 per unit
Direct materials
$ 10.50 per unit
Direct labor
$ 8.00 per unit
Variable overhead
$ 12.50 per unit
Fixed overhead
$ 1,237,500 per year
1. Compute gross profit assuming (a) 75,000 units are produced and 75,000 units are sold and (b) 110,000 units are produced and
75,000 units are sold.
2. By how much would the company's gross profit increase or decrease from producing 35,000 more units than it sells?
Answer is complete but not entirely correct.
Complete this question by entering your answers in the tabs below.
Required 1
Required 2
Compute gross profit assuming (a) 75,000 units are produced and 75,000 units are sold and (b) 110,000 units are produced
and 75,000 units are sold.
(a) 75,000 Units (b) 110,000 Units
Produced and
Produced and
75,000 Units Sold 75,000 Units Sold
Sales
4,312,500
4,312,500
The gross income or profit of the company is the difference between the
total revenue and the cost of items produced.
The values for the gross profits are;
(a) $750,000(b) $ -335,0002. The profit of the would decrease by $1,085,000Reasons:
The gross profit is given by the equation;
Gross profit = Net revenue - Cost of items sold
The net revenue for 75,000 units = $57.50 × Sales price per unit
∴ The net revenue for 75,000 units = $57.50 × 75,000 = $4,312,500
Cost of production = 75,000 × Per unit cost of Materials plus Labor plus variable overhead + Fixed overhead
Cost of production = 75,000 × (10.50 + 8.00 + 12.50) + 1,237,500 = 3,562,500
The cost of producing 75,00 units per year = $3,562,500
Gross profit = $4,312,500 - $3,562,500 = $750,000
(b) When the number of units produced = 110,000, we have;
Cost of production = 110,000 × (10.50 + 8.00 + 12.50) + 1,237,500 = 4,647,500
Gross profit = $4,312,500 - $4,647,500 = $ -335,000 (a loss of 335,000)
2. By producing 35,000 units more than it sells, we have;
Cost > Revenue, therefore, the gross profit decreases
Let, X, represent the number of units sold, we have;
The number of units produced = X + 35,000
Which gives;
Cost of production = (X + 35,000) × (10.50 + 8.00 + 12.50) + 1,237,500 =
31·X + 2,322,500
Net revenue = X × 57.50 = 57.50·X
The profit = 57.50·X - (31·X + 2,322,500) = 26.5·X - 2,322,500
When X = 75,000, we have;
Gross profit = 26.5 × 75,000 - 2,322,500 = -335,000
Therefore;
The gross profit will decrease by 750,000 - (-335,000) = 1,085,000
The gross profit of the company will would decrease by $1,085,000, if it
sells 75,000 units and produces 110,000, which is 35,000 more units than
is sells.
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Order the following numbers from least to greatest: -5.6, -1.25, -7.8,9
What are the solutions to the quadratic function. f(x) = x^2+4x-12
Answer:
2, -6
Step-by-step explanation:
x^2 + 4x - 12
A = 1
B = 4
C = -12
i used the "X" method to solve for the solutions. i think it's easier than using the quadratic formula but it doesn't always work
for the "X" method you have to multiply your A value and your C value together so 1 x (-12) = -12. that is going to be the top part of the X
the bottom part of the x will be your B value which is 4
we have to find multiples of -12 that will also add to 4
so -2 and 6 multiply to -12 but also add to 4 so we know these numbers will work
i added added two drawings to show how i found the solutions using the "X" method and the quadratic formula
∠a = 85°, what does ∠b equal?
Answer:
∠b = 95°
Step-by-step explanation:
Assuming these angles are Supplementary, it would look something like this:
/
∠b / ∠a
_______________/__________________
If this is true, and ∠a = 85°, then this means that ∠b must equal 95° because being supplementary angles means all angles add to 180°, so 180 - 85 = 95
Answer:
90° − 85° = 5°
I need help! Does anyone understand?
Answer:
the answer should be G or H
Please help with math
Answer:
3.84m
Step-by-step explanation:
32*12=384
384/100=3.84
Answer:
384. hope this helps you out
Explain: 32•12=384, but for got to divide it so it equal 3.84
3 + 4x > 27
First subtract ____ from both sides.
Then ______ both side by 4
x > ______
Answer:
3
divide
6
Step-by-step explanation:
Inequalities are solved similar to how equalities are solved. Isolate the variable using the properties of equality.
So the first step is to subtract 3 from both sides. This starts to isolate the variable. Additionally, because the same thing happens to both sides, the inequality is still true.
Then, divide both sides by 4. This is the last step to isolate the variable. Doing this not only keeps the inequality true, but it also allows the x to be by itself.
This is the final answer, x>6, x is greater than 6.
3+4x>274x>24x>61. What is the place value of 7 in 43.0671? A. tenths B. hundredths TA C. thousandths D. ten thousandths
i need detailed answer for this question. please help it’s for elementary school
Step-by-step explanation:
=4÷8-15
=½-15
= -14½
hope this helps you.
Answer:
-14.5
Step-by-step explanation:
4÷2^3-15
2^3= 8
4÷8-15
4÷8= 0.5
0.5-15= -14.5
-14.5
PLEASE HELP!!!!
On a Saturday, a library checked out 117 books. If 36 of the books were fiction, what is the ratio
of non-fiction books to fiction books checked out?
can someone plz help
Answer:
77
Step-by-step explanation:
I think that's the answer, lemme know if i'm right.
6 dollars for 2 cans of tuna what is the rate
Answer:
3 dollars per can
Step-by-step explanation:
divide 6 by 2
Can you help me please I will mark the BRAINLIEST
Answer:
c.7203
d.26244
Step-by-step explanation:
please mark me as brainliest
Answer:
[tex]3 \times 7 \times 7 \times 7 \times 7 = 3 \times {7 }^{4} = 7203[/tex]
[tex]2 \times 9 \times 9 \times 2 \times 9 = {2}^{2} \times {9}^{4} = 26244[/tex]
Sales of different ice cream flavors at a small ice cream shop were recorded for one week. The graph shown here displays the sales of each different flavor.
What is the mean of the data?
A)6
B)7
C)8
D)9
Answer:
its c
Step-by-step explanation:
i did da quiz
Mean of Number of scope is 8
Given that;
Number of scope of Vanilla = .6
Number of scope of chocolate = 14
Number of scope of strawberry = 10
Number of scope of Butter pecan = 6
Number of scope of cookie dough = 4
Number of scope of moose track = 8
Find:
Mean of Number of scope
Computation:
Mean of Number of scope = [6+14+10+6+4+8] / 6
Mean of Number of scope = [48] / 6
Mean of Number of scope = 8
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number 4. and 5.
What is the unit rate for each size?
Which size is a better buy? why?
Answer:
Step-by-step explanation:
4)
Regular $4 / 8 cups = $0.50 / cup
Large $6 / 15 cups = $0.40 / cup
5)
most people would consider the Large to be the better buy because the price per cup is lower.
Debra wants to rent a boat and spend at most $44. The boat costs $8 per hour, and Debra has a discount coupon for S4 off. What are the possibile numbers of
hours Debra could rent the boat?
Use t for the number of hours.
Write your answer as an inequality solved for t.
Answer:
t ≤ 6
Step-by-step explanation:
8t - 4 ≤ 44
I hope this helps!
A school needs to buy new notebook and desktop computers for its computer lab. The
notebook computers cost $325 each, and the desktop computers cost $250 each. How
many total computers would someone buy if they get 20 notebooks and 17 desktop
computers? How many total computers would someone buy if they get n notebooks
and d desktop computers?
Alyssa is baking a cake the recipe calls for 8 cups of flour she already put in 2 cups how many more cups does she need to add
Can someone Please abswer this i'll give 40 points and maybe brainliest for the best answer :]
Answer:
2. d. 0.0008
3. b. 0.07
4. c. thousandths
5. c. 0.005
Which of the expressions are equivalent to the one below? Check all that apply. (8 + 3) 4
Answer:
Step-by-step explanation:
would be nice to have a look at the options.
Here's a few I could come up with
44
32 + 12
8(4) + 3(4)
11(4)
If a certian perosn has a mass of 250kg on earth, would that person's mass be on the moon, if the moon's gravity is 1.62m/s2? *
10 points
245kg x 1.62m/s2
245 x 1.62m/s2
It remains the same
The person would be weightless
Answer:
Weight On the Moon: 41.34 kilograms
Step-by-step explanation:
Janet is three years older than her sister Julie Janet's brother is 8 years older than their sister Julie the sum of all their ages is 55
Answer:
Julie is 14.67, Janet 17.67 and Brother 22.66
Step-by-step explanation:
Let Julie age be x
Janet: x+3
Brother: x+8
x+x+3+x+8=55
3x+11=55
3x=44
x=14.7