if i'm correct its 7x
Answer:
Domen is [ -2 , infinitely) or can be written as
-2 < x < infinitely in inequality form.
Step-by-step explanation:
if (x+2) is negative than function will be imaginary so to be real function (x+2) should be positive
hence answer is : Domen = -2 < x < infinitely or can be written as [ -2 , infinitely )
How do I solve this equation?
Answer:
\(x<3\)
Step-by-step explanation:
STEP 1: Move all terms not containing \(x\) to the right side of the inequality.
\(5x<15\)
STEP 2: Divide each term by \(5\) and simplify.
\(x<3\)
STEP 3: The result can be shown in multiple forms.
Inequality Form:
\(x<3\)
Interval Notation:
\((-\)∞\(,3)\)
the tread life of a particular brand of tire is a random variable best described by a normal distribution with a mean of 60,00 miles and a standard deviation of 2700 miles. what warranty should the company use if they want 96% of the tires to outlast the warranty?
According to the standard deviation, the company should offer a warranty period that covers at least 65,895 miles to ensure that 96% of the tires sold will outlast the warranty.
To do this, we use a z-score table, which gives the probability of getting a z-score less than or equal to a given value. The z-score is a measure of how many standard deviations a data point is from the mean.
To find the z-score for the top 4% of the tires, we first subtract 96% from 100% to get 4%. Then we divide this by 2 to get 2%, as we are interested in the area under the normal distribution curve in the right tail. Using the z-score table, we find that the z-score corresponding to a 2% area under the curve is approximately 2.05.
Next, we use the formula for converting a z-score to a data value:
z = (x - μ) / σ
where z is the z-score, x is the data value, μ is the mean, and σ is the standard deviation. Solving for x, we get:
x = z x σ + μ
Plugging in the values, we get:
x = 2.05 x 2700 + 60000
x ≈ 65,895
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A car goes about 7 1/2 miles per gallon. Its gas tank holds 25 gallons. Out of which 2 1/2 are reseve. About how many miles wil the car go without using the reseve
The car can go approximately 168.75 miles without using the reserve.
To calculate the number of miles the car can go without using the reserve, we need to subtract the reserve gallons from the total gas tank capacity and then multiply that by the mileage per gallon.
Gas tank capacity (excluding reserve) = Total gas tank capacity - Reserve capacity
Gas tank capacity (excluding reserve) = 25 gallons - 2.5 gallons = 22.5 gallons
Miles the car can go without using the reserve = Gas tank capacity (excluding reserve) * Mileage per gallon
Miles the car can go without using the reserve = 22.5 gallons * 7.5 miles/gallon
Miles the car can go without using the reserve = 168.75 miles
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What is 4^4 in algerbra mathematics?
Answer:
256
Step-by-step explanation:
4 to the exponent of 4 = 256
is a trapezoid a parallelogram? someone help me lol if u do thanks :)
Answer:
No.
Step-by-step explanation:
A trapezoid only has one pair and parallelogram need two pair.
Answer:
no
Step-by-step explanation:
no because a parallelogram must have at least two opposite parallel lines
A trapezoid only has one
45% of the rooms in a hotel are booked. If 36 rooms are booked, how many rooms are in hotel altogether?
Answer:
80
Step-by-step explanation:
Let h = number of rooms in the hotel
45% * h = 36
.45 h = 36
Divide by .45
.45h/.45 = 36/.45
h =80
There are 80 rooms in the hotel
Answer:
80 rooms
Step-by-step explanation:
Step 1:
45/100 = 36/x Equation
Step 2:
45x = 3600 Multiply
Step 3:
x = 3600 ÷ 45 Divide
Answer:
x = 80
Hope This Helps :)
In order to get the variable by itself, we have to MOVE stuff away from it! What needs to "move" here in order to get the variable by itself?
x-5=10
Answer:
Add 5 to each side
You get x=15
Help please asap
find the other endpoint of the line segment ab, if the midpoint is (-8, 8) and one of the endpoints is (-2, -20).
a-(-14, 36)
b-(-5, -6)
c-(14, 36)
d-(18, -4)
Answer:
(-14,36)
Step-by-step explanation:
We know the midpoint, so we can substitute for that. The formula for midpoint is (x1+x2)/2 ; (y1+y2)/2 =(Midpoint). We can make the equation:
(-2+x)/2=-8 and (-20+x)/2=8
To get rid of the division, multiply both sides by 2, and you get:
-2+x=-16 and -20+x=16
Isolate x:
-2+x=-16 and -20+x=16
+2 +2 +20 +20
__ __ ___ ___
0 -14 0 36
So, you end up with (-14,36)
Hope this helped!
ITS THE LAST QUESTION HELP!!!!!!!!!!!!
Answer:
ans willbe -8
Step-by-step explanation:
-1/2 × 2 =-1
-1×2=-2
-2×2=-4
-4×2=-8
What is the intermediate step in the form (x+a)^2=b as a result of completing the square for the following equation? x^2= -16x-37
The intermediate step in completing the square for x^2= -16x-37 is (x+8)^2=27.
To complete the square for the given equation, we need to add a constant value to both sides of the equation such that we can factor the left-hand side as a perfect square.
x^2 + 16x = -37
To determine the constant value we need to add to both sides, we take half the coefficient of x (which is 16/2 = 8) and square it to get 64. Then we add 64 to both sides of the equation:
x^2 + 16x + 64 = 27
Now we can factor the left-hand side as a perfect square:
(x + 8)^2 = 27
So the intermediate step in completing the square for x^2= -16x-37 is (x+8)^2=27.
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Sarah only knows the diameter of a circle. What should she do to find the radius?
Multiply the diameter by 2.
Divide the diameter by 2.
Multiply the diameter by Pi.
Divide the diameter by Pi.
Answer:
Divide the diameter by 2
Step-by-step explanation:
340 to nearest hundred
Answer:
300 - hope this helped :)
Step-by-step explanation:
340 to the nearest hundred
is 300 since thats the closest
Find the distance between A(5, -2) B(3, -6)
Answer:
Over 2 up 4
Step-by-step explanation: I just learned this so I am not a pro but, 5 would be X for A, So to the right, down 2, 3 right for B, down 6
Question 4(Multiple Choice Worth 2 points)
(Volume of Cylinders MC)
What is the volume of the cylinder? Round to the nearest hundredth and approximate using π = 3.14.
cylinder with a segment from one point on the circular base to another point on the base through the center labeled 2.6 feet and a height labeled 4.4 feet
23.35 cubic feet
35.92 cubic feet
71.84 cubic feet
93.4 cubic feet
The volume of the Cylinder is 24.11 cubic feet.
What is Volume?Volume refers to the amount of space occupied by a three-dimensional object, measured in cubic units.
The radius of the cylinder is half the diameter of the circular base, so:
r = 2.6/2 = 1.3 feet
The volume of the cylinder is given by:
V = πr²h
Substituting the values given:
V = 3.14 × 1.3² × 4.4 ≈ 24.11 cubic feet
Rounding to the nearest hundredth:
V ≈ 24.11 cubic feet
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Money is borrowed at 18% simple interest. after one year, $610.06 pays off the loan. how much was originally borrowed?
The original amount borrowed was $517.
Simple Interest is the method to calculate the interest charged for a given number of years and given rate , in simple interest the principle remains same for each year.
Simple interest =\(\frac{P*R*T}{100}\)
where P= principle, R=rate in % , T= time
We know that Amount= Principle+ Simple Interest........(1)
According to the question
Amount=$610.06
Rate=18%
time = 1yr
Substituting the value in equation (1) we get
\(610.06=P+\frac{P*18*1}{100}\)
\(610.06=\frac{100P+18P}{100}\)
\(610.06=\frac{118P}{100}\)
\(61006=118P\)
\(P=\frac{61006}{118}\)
\(P=517\)
Therefore , The original amount borrowed was $517.
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find the amount a in an account after t years given the following conditions. da dt=0.07a a(0)=7,000
To find the amount a in an account after t years, we need to solve the differential equation da/dt = 0.07a with the initial condition a(0) = 7,000.
Answer : a = 7,000 * e^(0.07t)
Separating variables, we have:
(1/a) da = 0.07 dt
Integrating both sides:
∫ (1/a) da = ∫ 0.07 dt
ln|a| = 0.07t + C1
Taking the exponential of both sides:
|a| = e^(0.07t + C1)
Since a must be positive, we can drop the absolute value:
a = e^(0.07t + C1)
Now, using the initial condition a(0) = 7,000, we substitute t = 0 and a = 7,000:
7,000 = e^(0.07 * 0 + C1)
7,000 = e^C1
Taking the natural logarithm of both sides:
ln(7,000) = C1
So, C1 = ln(7,000).
Substituting this value back into the equation, we have:
a = e^(0.07t + ln(7,000))
Simplifying further:
a = e^(0.07t) * e^(ln(7,000))
a = 7,000 * e^(0.07t)
Therefore, the amount a in the account after t years is given by the equation:
a = 7,000 * e^(0.07t)
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Translate each expression. Use "n" for "a number"
8 times a number squared
Please help me
Person A buys 10 granola bars and 6 cups of yogurt for $18. Person B buys 5 granola bars and 4 cups of yogurt for $9.50. Find the cost of each item.
Answer:
granola bar: $1.50yogurt: $0.50Step-by-step explanation:
You want the cost of each item when person A buys 10 granola bars and 6 cups of yogurt for $18, and person B buys 5 granola bars and 4 cups of yogurt for $9.50.
EquationsThe equations describing the relations can be written ...
10g +6y = 18 . . . . . . . person A's purchase
5g +4y = 9.50 . . . . . . person B's purchase
SolutionSubtracting half of the first equation from the second, we find ...
(5g +4y) -1/2(10g +6y) = (9.50) -1/2(18)
y = 0.50 . . . . . . . . . . simplify
Substituting this into the first equation gives ...
10g +6(0.50) = 18
10g = 15 . . . . . . . . . . subtract 3
g = 1.50 . . . . . . . . . divide by 10
Each granola bar costs $1.50; each cup of yogurt costs $0.50.
__
Additional comment
The attachment shows the solution found using a calculator to find the reduced row-echelon form of the augmented coefficient matrix. The variable values are in the right column of the reduced matrix. This tells us granola bars are $1.50, and yogurt cups are $0.50, as we found above.
En el mercado del satisfactor X hay 10,000 individuos idénticos, cada uno con una función de demanda definida por Qdx = 12 – Px y 1,000 productores idénticos del satisfactor X, cada uno con una función de oferta dada por Qsx = 20 Px
Answer:
Px = $4
Step-by-step explanation:
Given that:
En el mercado de satisfacción X hay 10,000 individuos idénticos, cada uno con una función de demanda definida por Qdx = 12 - Px y 1,000 productores idénticos de X satisfactorio, cada uno con una función de oferta dada por Qsx = 20 Px
El precio de equilibrio y la cantidad de equilibrio se pueden determinar de la siguiente manera;
Qdx = 10000(12-Px)
Qdx = 120000 - 10000Px
Qsx = 1000(20 Px)
Qsx = 20000 Px
El punto de equilibrio para completar el enunciado, cuando Qdx = Qsx es:
Qdx = Qsx
120000 - 10000 Px = 20000 Px
120000 = 20000 Px + 10000 Px
120000 = 30000 Px
Px = \(\mathbf{ \dfrac{120000}{30000}}\)
Px = $4
Write this ratio in its simplest form
5kg : 20g
Answer:
1kg : 4kg
Step-by-step explanation:
You need to simplify the current equation
5 : 20
Divide both sides by 5
5/5 : 20/5
1 : 4
1kg : 4kg
Hope this helps!
Plz name brainliest if possible!
Answer:
1kg:4g
Step-by-step explanation:
Complete the following to use the difference of two squares to find the product of 22 and 18.( + )( - ) =( )2 - ( )2 =396
The complete equation of two squares to find the product of 22 and 18 is (22 + 18)(22 - 18) = 396
When we can interpret an expression as the difference of two perfect squares, i.e. a2-b2, we can factor it as (a+b)(a-b).
To use the difference of two squares to find the product of 22 and 18:
First, find the average of the two numbers:
(22 + 18) ÷ 2 = 20
Then, find the difference between the two numbers:
22 - 18 = 4
Now we can write:
(20 + 4)(20 - 4) = 24 × 16 = 384
But we need to add the extra 12 to get 396:
(20 + 4)(20 - 4) + 12 = 396
So the completed equation is:
(22 + 18)(22 - 18) = 396
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∠BCA ≅ ∠DAC and ∠BAC ≅ ∠DCA by
Answer:
B
Step-by-step explanation:
vertical angles from two parallel lines and a transverse line
The daily wages of 18 workers in a factory are the following :
200, 250, 300, 150, 400, 350, 200, 250, 300, 150, 300, 400, 200, 250, 300, 350, 200, 250
Daily Wages Frequency
150 2
200 4
250 4
300 4
350 2
400 2
The range of the wage is 250.
What is the frequency table?A frequency table is a table that arranges a data in ascending order and it shows the number of time a value appears in a dataset. In order to determine the frequency of a number, count the number of times the number appears in the dataset.
Range is the difference between the highest and lowest values of a set of observations
Range = highest value - lowest value
400 - 150 = 250
Here is the complete question:
The daily wages of 18 workers in a factory are the following :
200, 250, 300, 150, 400, 350, 200, 250, 300, 150, 300, 400, 200, 250, 300, 350, 200, 250
Prepare a frequency distribution table and find the range of wage
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I really need help on this please
Answer:
2 inches
Step-by-step explanation:
i think that this would be monday*3 + thursday*2 in order to find all five days
so (0.5*3)+(0.25*2)= 2inches.
hope this helps!
Find the distance in units and 1 on a number line.
The Distance in 3 units and 1 on a number line is 4 and -2.
Given that,
We have to find the distance in 3 units and 1 on a number line.
We take,
The value of n is a distance of 3 units from 1 on a number line.
The value of n will be based on the numbers.
n - 1 = ±3
For positive sign, we have
n – 1= +3
n = 3 + 1
n = 4
For negative sign, we have
n –1= – 3
n = – 3 + 1
n = –2
Therefore, The Distance in 3 units and 1 on a number line is 4 and -2.
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For every 21 litres of petrol a car can run for 80 km.
How much petrol do you need (to 1 DP) to ensure the car has enough petrol of a trip that is 224 km?
HELP giving brainless and 100 points!!
Answer:
b
Step-by-step explanation:
3 1/2 x 3 x 1/2= 5.25 or 5 and 1/4
Answer:
B
Step-by-step explanation:
Little tip, if you don't know a question or aren't sure, pick options b or c, they are statistically the most used options.
4. What are the coefficients in the polynomial 7x² - 4x + 6? (1 poin
O-7,4
07, 4, -6
07,-4, 6
07,-4
Add or subtract.
Answer:
D.) 7 and -4
Step-by-step explanation:
Coefficients are numbers placed directly before a variable.
(7) is a coefficient because it is placed before x².
(-4) is a coefficient because it is placed before x. The negative is included.
(6) is not a coefficient because it is not altering any variable through multiplication/division.
What is the value of x in the figure
Answer:
x=25 I believe
Step-by-step explanation:
So, 130° should be for both the angles at the top, so that leaves 100° left for the ones at the bottom because 360 - 260 = 100
So since the 2 angles at the bottom should be equal to each other, we have 4x for the bottom 2 angles.
So, 4x = 100
So, x = 25
Triangle ABC, with coordinates A(2, 3), B(3, 5), C(7, 4), is dilated by a scale factor of 2. What are the coordinates of the dilated figure, triangle A′B′C′?
Answer:
When you dilate a shape by a scale factor of 2, you are just multiply the coordinates by 2.
So the points become:
A(2, 3) ===> A'(4, 6)
B(3, 5) ===> B'(6, 10)
C(7,4) ===> C'(14,8)