Answer is D Use the distributive property to simplify.
What is the larger figure?
Solve for x 16 = -2 -1
Susan bought a 2 kg bag of grapes on the way home she ate 125 g of the grapes how many grams of grapes that she have left
What does the ordered pair (4, 120) represent in context of this problem?
What's the recursive formula?? help!
Calculate the averages for each category for the three-month period. category jan. feb. mar. average wages $2,100.00 $2,300.00 $2,000.00 $ donations $210.00 $230.00 $200.00 $ mortgage $590.50 $590.50 $590.50 $ electricity $101.25 $89.75 $80.00 $ water $20.10 $22.30 $24.55 $ car loan $172.54 $172.54 $172.54 $ food $200.25 $220.70 $205.50 $ insurance $310.50 $0.00 $0.00 $ clothes $0.00 $0.00 $75.00 $ car license fee $0.00 $120.90 $0.00 $ newspaper $0.00 $0.00 $45.00 $ movies $18.00 $0.00 $36.00 $ new car $100.00 $100.00 $100.00 $ gasoline $80.00 $70.00 $75.00 $ car repairs $0.00 $119.00 $0.00 $ miscellaneous $64.50 $59.25 $72.50 $ savings $140.00 $140.00 $140.00 $
The work of a student to solve the equation 3(2x − 4) = 8 + 2x + 6 is shown below:
Step 1: 3(2x − 4) = 8 + 2x + 6
Step 2: 5x − 7 = 14 + 2x
Step 3: 5x − 2x = 14 + 7
Step 4: 3x = 21
Step 5: x = 7
In which step did the student first make an error and what is the correct step?
Step 2; 6x − 12 = 14 + 2x
Step 2; 6x − 7 = 2(6 + x + 4)
Step 3; 5x − 2x = 14 − 7
Step 3; 5x + 2x = 14 + 7
Answer:
The student made the error at step 2.
Step-by-step explanation:
The correct step will be:
Step 2; 6x − 12 = 14 + 2x
As 3 will be multiplied with 2x and 4 which will give 6x − 12
The pair of points is on the graph of an inverse variation. Find the missing value.
(1.6, 6) and (8, y)
0.83
30
0.03
1.2
WILL GIVE BRANLIEST ANSWER! HELP
Christian is 3 times as old as marie. marie is 12 years old. how old is christian
Answer:
36 years old
Step-by-step explanation:
Find tan U.
CR=6.3
UC=4.1
RU=7.7
Which out of these 2 "graphs" represent a proportional relationship? PLEASE HELP
x f(x)
–1 –2
0 0
1 2
4 8
x f(x)
–2 2
0 4
2 6
3 7
The value of a textbook is $120 and decreases at a rate of 12% per year. Write a function to model the situation and then find the value of the textbook after 9 years.
To model the depreciation of a textbook initially worth $120 with a 12% annual decrease, use the function V(t) = 120 x (1 - 0.12)^t. After 9 years, the textbook's value will be approximately $38.24.
The student asks for a function to model the depreciation of a textbook and the value of the textbook after 9 years. The textbook costs $120 initially and depreciates at 12% annually. To model this, we can use an exponential decay function, which is generally of the form V(t) = V_0 imes (1 - r)^t, where V(t) is the value after time t, V_0 is the initial value, r is the rate of decay, and t is time in years.
Plugging in the given values:
V_0 = $120
r = 0.12 (12% as a decimal)
t = 9 years
The function becomes V(t) = 120 imes (1 - 0.12)^t. Now, we find the value of the textbook after 9 years by substituting t with 9:
V(9) = 120 x (1 - 0.12)⁹
Calculate:
V(9) = 120 x (1 - 0.12)⁹
V(9) = 120 x 0.88^9
V(9) =120 x 0.318630...\approx $38.24
Thus, the value of the textbook after 9 years will be approximately $38.24.
Find an explicit formula for the arithmetic sequence 37, 74, 111, 148
Let us observe the given series 37,74,111,148
Here, the first term (a) = 37
Common difference(d) = 74-37 = 37
Hence, the given series is in Arithmetic progression.
Hence the nth term of the series is given by:
[tex] a_{n}=a+(n-1)d [/tex]
Substituting the values of 'a' and 'd'.
[tex] a_{n}=37+37(n-1) [/tex]
Therefore, it is the required explicit formula.
You can upgrade lighting at your factory to LED bulbs that cost $6.95 each and last an average of 5 years. It costs $3 in labor to change a bulb. Over a 10-year period, about how much will it cost per year to install LED bulbs in 100 lamps and change the bulbs when they burn out?
Answer: $200.00
Step-by-step explanation:
$6.95+ $3.00= $19.90
$19.90 * 100= $1,990
$1,990 / $9.95 = $200.00
take the orginal cost 6.95 plus the $3 labor which equals 19.90 then you multiply by the number of bulbs 100 which equals 1990 then divide 1990 by the cost of bulbs 9.95 which equals 200!
A city was founded at the beginning of 1990 with a population of 55,000, and since then, the growth in its population has been exponential, increasing at x percent per year. If the city's population at the beginning of 2000 was 108,193, at what percent per year to the nearest percent is the city's population increasing?
What is the prime factorization for 147
An online company sells handmade samurai katana swords. The website costs $ 475 a month to maintain. Each katana costs $ 200 to make, and they sell each katana for $ 755. Create a linear model in the form y = m x + b where x is the number of swords sold per month and y is the net monthly profit. Using this model, find the number of swords that would need to be sold per month to have a monthly profit of $ 4370.,
A group of art students are painting a mural on a wall. the rectangular wall has dimensions of (6x + 7) by (8x + 5) and they are planning the mural to be (x + 4) by (2x + 5). what is the area of the remaining wall after the mural has been painted?
The area of the remaining wall after the mural has been painted is 46x^2+73x+15. Hence, he correct answer is [tex]\(\boxed{\text{A. }46x^2+73x+15}\)[/tex]
To find the area of the remaining wall after the mural has been painted, we need to find the area of the entire wall and then subtract the area of the mural.
The area of the rectangular wall is given by the product of its dimensions:
[tex]\[ \text{Area of wall} = (6x+7)(8x+5) \][/tex]
Expanding this expression:
[tex]\[ \text{Area of wall} = 48x^2 + 30x + 56x + 35 \][/tex]
[tex]\[ \text{Area of wall} = 48x^2 + 86x + 35 \][/tex]
Now, the area of the mural is given by the product of its dimensions:
[tex]\[ \text{Area of mural} = (x+4)(2x+5) \][/tex]
Expanding this expression:
[tex]\[ \text{Area of mural} = 2x^2 + 5x + 8x + 20 \][/tex]
[tex]\[ \text{Area of mural} = 2x^2 + 13x + 20 \][/tex]
Now, to find the area of the remaining wall, we subtract the area of the mural from the area of the wall:
[tex]\[ \text{Area of remaining wall} = \text{Area of wall} - \text{Area of mural} \][/tex]
[tex]\[ \text{Area of remaining wall} = (48x^2 + 86x + 35) - (2x^2 + 13x + 20) \][/tex]
[tex]\[ \text{Area of remaining wall} = 48x^2 + 86x + 35 - 2x^2 - 13x - 20 \][/tex]
[tex]\[ \text{Area of remaining wall} = 46x^2 + 73x + 15 \][/tex]
So, the correct answer is [tex]\(\boxed{\text{A. }46x^2+73x+15}\)[/tex].
The complete question is:
A group of art students are painting a mural on a wall. The rectangular wall has dimensions of (6x+7) by (8x+5) and they are planning the mural to be (x+4) by (2x+5). What is the area of the remaining wall after the mural has been painted?
A. 46x^2+73x+15
B. 48x^2+86x+35
C. 2x^2+13x+20
D. 50x^2+99x+55
Which function grows at the fastest rate for increasing values of x?
h(x)=2x
f(x)=4x2+9x
g(x)=18x
Answer:
Option 2. f(x) = 4x² + 9x
Step-by-step explanation:
In this question we have to tell which function grows at the fastest rate for increasing values of x.
1) h(x) = 2x It's a linear function increasing with the value of x.
2). f(x) = 4x²+9x It's a function representing parabola. Moreover the value of the function increases exponentially as the function is in the form of quadratic equation.
3). g(x) = 18x it's again a linear function.
Therefore out of three functions Function 2 will grow at the fastest rate for increasing values of x.
define what Skewed Left, and Skewed Right. (Shape of the data)
A left-skewed distribution has a long left tail. This is also called negatively-skewed distributions. That’s for the reason that there is a long tail in the negative direction on the number line. The average is also to the left of the peak.
A right-skewed distribution has a long right tail, or positive-skew distributions. That’s for the reason that there is a long tail in the positive way on the number line. The average is also to the right of the peak.
Please answer. Confusing me. 20 points.
A full waterbed mattress is 7 ft by 4 ft by 1 ft. If water weighs 62.4 lb/ft3, what is the weight of the water in the mattress to the nearest pound?
How can you determine the amount of water the mattress can hold?
The weight of the water is in pounds per cubic feet. How can you get an answer with a unit of pounds?,
The water in the mattress weighs approximately 1,747 pounds.To find the weight of water in the mattress, calculate the volume by multiplying the dimensions and then multiply the volume by the weight of water per cubic foot.
To determine the weight of the water in the mattress, follow these steps:
Calculate the volume of the waterbed mattress by multiplying its dimensions:
Volume = 7 ft * 4 ft * 1 ft = 28 ft³
Next, use the given weight of water per cubic foot to find the total weight:
Weight of Water = Volume * Weight per Cubic Foot
Weight of Water = 28 ft³ * 62.4 lb/ft³
Finally, multiply these values:
Weight of Water = 28 * 62.4 = 1,747.2 lb
To the nearest pound, the weight of the water in the mattress is 1,747 pounds.
The triangles are similar. What is the value of x?
Answer:
The value of x is [tex]16\ units[/tex]
Step-by-step explanation:
we know that
If two figures are similar , then the ratio of its corresponding sides is equal
In this problem
[tex]\frac{x}{4}=\frac{12}{3}=\frac{20}{5}[/tex]
therefore
[tex]\frac{x}{4}=4[/tex]
[tex]x=16\ units[/tex]
In the triangle below, which is equivalent to sinA?
Read the word problem. Cate has 10 dolls. Shelayna has 3 times as many dolls as Cate. How many more dolls does Shelayna have compared to Cate? What operations are needed to solve this word problem, and in what order should they be used? addition and subtraction, in that order
addition and division, in that order
division and subtraction, in that order
multiplication and subtraction, in that order
Answer:
multiplication and subtraction in order
Step-by-step explanation:
Match the corresponding function formula with each function when h(x)=3x+2 and g(x)=2^x
1. K(x)=2^x+3x+2
2. K(x)=2^x-3x-2
3. K(x)=(3x)2^-x+2^-x+1
4. K(x)=2^3x+2
5.k(x)=2^x(3x+2)
6. K(x)=3(2^x)+2
————————————
A. K(x)=g(x)+h(x)
B. K(x)=h(x) divided g(x)
C.k(x)=g(x)-h(x)
D.k(x)=g(x)*h(x)
E. K(x)=g(x)•h(x)
F. K(x)=h(x)•g(x)
Of the 50 shapes in a set, 20 of them are squares. In a circle graph, what would be the measure of the central angle for the section that represents squares?
A. 40 degrees
B. 108 degrees
C. 126 degrees
D.144 degrees
Order the steps to solve the equation
Log(x^2-15)=log(2x) form 1 to 5.
Answer:
x2 − 15 = 2xx2 − 2x − 15 = 0(x − 5)(x + 3) = 0x − 5 = 0 or x + 3 = 0Potential solutions are −3 and 5Answer:
The answers in order are 2,5,1,4,3
Step-by-step explanation:
Correct on edge
What is the slope of the line
1.
(08.01 MC) Determine all zeros for the function f(x)=(x2−2−8)(x+6)
-48
-8
-6
-4
-2
0
2
4
6
8
48