Answer:
|7000 - w| < 1000
Step-by-step explanation:
6000 < w < 8000
Subtract 7000 from the three "sides."
-1000 < w - 7000 < 1000
|w - 7000| < 1000
|7000 - w| < 1000
The graphs of the tangent, cotangent, secant, and cosecant functions all have____asymptotes.
Oblique, vertical, slant, horizontal
20 POINTS
Leah works at an appliance store. She recorded her recent sales.
washing machines 3
dishwashers 1
ovens 6
clothes dryers 5
What is the experimental probability that the next appliance Leah sells will be an oven?
6/15
you add everything she sells together. ( 3+1+6+5=15) Then you put the amount of ovens she sells above taht number, making it a fraction.
A BluRay disc normally costs $22. This week it is on sale for 25% off the original price. How much money is discounted from the original price of the BluRay disc?
Answer:
$7.33
Step-by-step explanation:
22=3/4x
22/.75=22*4/3=29.3333333
$29.33-$22=$7.33
A discounted from the original price of the Blu-ray disc will be $5.5.
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
Given that;
Cost of a Blu-ray disc = $22
The sale on the cost of a Blu- ray = 25%
Now,
Find the discounted price of a Blu-ray as;
Discounted price = 25% of $22
= 25 x $22 / 100
= $550/100
= $5.5
Thus, A discounted from the original price of the Blu-ray disc will be $5.5.
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Bookwork code: N84
Look at the poster below showing the price of pencils in a stationery shop.
Annabel wants to buy exactly 76 pencils. What is the lowest amount she can
pay?
Give your answer in pounds (£).
spar
..
Pencils for sale!
30p each
Pack of 10
pencils for £2
Based on mathematical operations, the lowest amount that Annabel can pay for pencils is $15.20
How is the lowest amount determined?The lowest amount that Annabel can pay for pencils can be determined using the mathematical operations of multiplication and division.
Multiplication and division are two of the four basic mathematical operations, including addition and subtraction.
If Annabel chooses to purchase the first pencil at 30p each, she would pay £22.80 (£0.30 x 76).
If Annabel chooses to purchase the second pencil class of a pack of 10 pencils for £2, she would pay £15.20 [£2 x (76 ÷ 10)].
Pencils for sale
30p each
Pack of 10 pencils for £2
Thus, if Annabel wants to buy the pencils, she can either pay £15.20 or £22.80, but using mathematical operations, the lowest amount she can pay is £15.20.
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How many solutions does the equation have?
3(d+11)=6(d+33)
A. 0
B. 1
C. infinitely many
Who can help me with this for algebra 2
Andrew spends his off days volunteering at a dog kennel. There are 24 dogs at the
kennel. He knows that 5/8 of the dogs are male. How many male dogs are at the kennel?
Answer:
16
Step-by-step explanation:
Number of male dog in Kennel are 15 dogs
Given that;
Total number of dogs = 24 dogs
Ratio of male dog = 5/8
Find:
Number of male dog in Kennel
Computation:
According to the question;
Number of male dog in Kennel = Total number of dogs × Ratio of male dog
Number of male dog in Kennel = 24 × [5/8]
Number of male dog in Kennel = 3 × 5
Number of male dog in Kennel = 15 dogs
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What is the product of 2•2
Answer:
4
Step-by-step explanation:
2*2 can be modeled using the following.
2 rows of 2
| |
| |
Total 4 sticks
The measure of an angle is 1°. Find the measure of the complement.
The measure of the complement of a 1-degree angle is 89 degrees.
The complement of an angle is defined as the angle that, when added to the given angle, results in a sum of 90 degrees. To find the measure of the complement of a 1-degree angle, we need to determine the angle that, when added to 1 degree, equals 90 degrees.
Let's denote the measure of the complement as x degrees. According to the definition, we can set up the equation:
1 degree + x degrees = 90 degrees.
To solve for x, we need to isolate it on one side of the equation. By subtracting 1 degree from both sides, we have:
x degrees = 90 degrees - 1 degree.
Simplifying the right side, we get:
x degrees = 89 degrees.
In summary, when an angle measures 1 degree, its complement measures 89 degrees. Complementary angles are pairs of angles that add up to 90 degrees. In this case, since the given angle measures only 1 degree, its complement is significantly larger, nearly forming a right angle. The concept of complementary angles is fundamental in geometry and can be applied to various problems involving angles and their relationships.
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Which of the following is a true statement?
Answer:
The last choice: 68/5 - 22/5 = 9 1/5
Step-by-step explanation:
Solve each problem:
9 3/7 = 10 3/7
The fractions are the same so look at the whole numbers.
Does 9 equal 10? No, it doesn't so this is a false statement.
332/4 = 1/83
Simplify 332/4:
332/4 = 83/1
83 does not equal 1/83 so this is a false statement.
37/5 = 5 2/5
Convert the improper fraction into a mixed number:
7 2/5 = 5 2/5
These numbers do not equal each other so this is a false.
68/5 - 22/5 = 9 1/5
Subtract the numerators on the left side of the equation:
46/5 = 9 1/5
Convert the improper fraction into a mixed number:
9 1/5 = 9 1/5
These numbers equal each other so this is a true statement!
What is the simplified form of 7 log3x + 4 log3z – 6 log3y?
The simplified form of 7 log3x + 4 log3z - 6 log3y is log3(x^7 z^4 / y^6).
What is the simplified form of the expressionWe can simplify the expression using the following logarithmic rule:
log a + log b = log ab (product rule)
log a - log b = log(a/b) (quotient rule)
c log a = log a^c (power rule)
Using these rules, we can simplify 7 log3x + 4 log3z - 6 log3y as follows:
7 log3x + 4 log3z - 6 log3y
= log3x^7 + log3z^4 - log3y^6 (using the power rule)
= log3(x^7 z^4 / y^6) (using the quotient rule)
Therefore, the simplified form of 7 log3x + 4 log3z - 6 log3y is log3(x^7 z^4 / y^6).
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Part of the graph of the function f(x) = (x – 1)(x + 7) is shown below.
Which statements about the function are true? Select three options.
The vertex of the function is at (–4,–15).
The vertex of the function is at (–3,–16).
The graph is increasing on the interval x > –3.
The graph is positive only on the intervals where x < –7 and where
x > 1.
The graph is negative on the interval x < –4.
Answer:
The vertex of the function is at (–3,–16)
The graph is increasing on the interval x > –3
The graph is positive only on the intervals where x < –7 and where
x > 1.
Step-by-step explanation:
The graph of \(f(x)=(x-1)(x+7)\) has clear zeroes at \(x=1\) and \(x=-7\), showing that \(f(x) > 0\) when \(x < -7\) and \(x > 1\). To determine where the vertex is, we can complete the square:
\(f(x)=(x-1)(x+7)\\y=x^2+6x-7\\y+16=x^2+6x-7+16\\y+16=x^2+6x+9\\y+16=(x+3)^2\\y=(x+3)^2-16\)
So, we can see the vertex is (-3,-16), meaning that where \(x > -3\), the function will be increasing on that interval
Which polynomial function could be represented by the graph below?
help please and fast!
= [3x3^-2x(-2)^6/2x3^-1x(-2)^5]^2 = 1
Answer:
1
Step-by-step explanation:
\([\frac{3a^{-2} b^6}{2a^{-1}b^5}] ^{2} \\=[1.5 a^{-2-(-1)} b^{6-5}]^2\\=[1.5a^{-2+1}b]^2\\=[1.5a^{-1}b]^2\\\\Substituting\ a=3,b=-2, we\ get,\\=[1.5*3^{-1}*-2]^2\\=[1.5*1/3*-2]^2\\=[1/2*-2]^2\\=[-1]^2\\=1\)
calculate the area of a circle whose circumference is 44cm
Answer:
153.94 square centimeters.
Step-by-step explanation:
To calculate the area of a circle when the circumference is given, you can use the formula:
Circumference = 2 * pi * r, where pi is approximately equal to 3.14 and r is the radius of the circle.
We can rearrange this formula to solve for the radius:
r = Circumference / (2 * pi)
Substituting the given value of circumference:
r = 44 cm / (2 * 3.14) = 7.006 cm (rounded to three decimal places)
Now that we have the radius, we can calculate the area of the circle using the formula:
Area = pi * r^2
Substituting the value of r:
Area = 3.14 * 7.006^2 = 153.94 cm^2 (rounded to two decimal places)
Therefore, the area of the circle is approximately 153.94 square centimeters.
y = f(x) = 5x
find f(x) when x = 3
The value of f(x) when x is 3 is 15
What is function?A Function in mathematics is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
For example, if f(x) = x² +2x +5 , the value of f(x) when x is 2 is calculated as;
f(x) = 2² + 2(2) + 5
f(x) = 4 +4+5
= 13
This done by substituting the given value of x into the expression.
Similarly , if f(x) = 5x, the value of f(x) when x is 3 is calculated as;
f(x) = 5(3)
f(x) = 15
therefore the value of f(x) when x is 3 is 15
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What is the solution to this equation?
X-16=9
ΟΟ
A. x = 25
B. X = -7
C. X= 7
D. X = -25
Answer:
A. x = 25
Step-by-step explanation:
To solve the equation X-16=9, we need to isolate the variable X on one side of the equation. We can do this by adding 16 to both sides of the equation:
X - 16 + 16 = 9 + 16
Simplifying the left side of the equation, we get:
X = 25
Therefore, the solution to the equation is X = 25. The correct answer is A.
Answer:
A) x = 25
Step-by-step explanation:
Given: x - 16 = 9
First collect like terms:
x - 16 = 9 (here, 9 and 16 are together)
-16 will become +16 when it comes to the other side.
x = 9 + 16
x = 25
Therefore, the answer will be A, x = 25
Mikey johnson shipped out 34 2/7 pounds of electrical supplies . The supplies are placed in individual packets that weigh 2 1/7 pounds each . How many packets did he ship out ?
Mikey Johnson shipped out 34 2/7 pounds of electrical supplies. The supplies are placed in individual packets that weigh 2 1/7 pounds each. Therefore, Mikey shipped out 16 packets of electrical supplies.
To solve the problem, we can use the following steps.Step 1: Find the weight of each packet.
We are given that the weight of each packet is 2 1/7 pounds.
To convert this mixed number into an improper fraction, we can multiply the whole number by the denominator and add the numerator.
This gives us: 2 1/7 = (2 × 7 + 1) / 7= 15 / 7 pounds.
Therefore, the weight of each packet is 15/7 pounds.
Now, divide the total weight by the weight of each packet.
We are given that the total weight of the supplies shipped out is 34 2/7 pounds.
To convert this mixed number into an improper fraction, we can multiply the whole number by the denominator and add the numerator.
This gives us: 34 2/7 = (34 × 7 + 2) / 7= 240 / 7 pounds.
Therefore, the total weight of the supplies is 240/7 pounds.
To find the number of packets that Mikey shipped out, we can divide the total weight by the weight of each packet.
This gives us: 240/7 ÷ 15/7 = 240/7 × 7/15= 16.
Therefore, Mikey shipped out 16 packets of electrical supplies.
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A sign says that the price marked on all music equipment is 30% off the original price. You buy an electric guitar for
the sale price of $315 how much money did you save off the original price of the guitar
Answer:
You saved $135 off of the original price of the guitar
Step-by-step explanation:
The original price of the guitar is $450. If we subtract 30% of the original price, we will essentially be solving 450 - 135 which gives us $315. Since we know that 30% was the amount taken off, 30% of the original price is how much you saved. So, you saved $135 off of the original price of the guitar.
(sorry if this is confusing, I'm not very good with words)
Which best describes the relationship between the line that passes through the points (9, –5) and (5, –2) and the line that passes through the points (–4, –2) and (–8, 1)?
Answer:
They have the same slope.
Step-by-step explanation:
I need help plz!!!!
Consider the function \(y=\sqrt{5x-5}+1\)
Which inequality is used to find the domain?
The inequality is used to find the domain of the given function is
5x-5 ≥ 0
What is a function?A function is a relation from a set of inputs to a set of possible outputs, where each input is related to exactly one output.
Given is function y = √(5x-5)+1, we have to find which inequality can be used to find the domain.
Since, the function is a square root function.
We know that,
The square root function is defined only for the positive values, including 0. i.e. the expression inside the square root must be greater than or equal to 0.
The expression inside the square root is (5x-5) so that must be greater than or equal to 0 which can be written as :
5x-5 ≥ 0
Hence, the inequality is used to find the domain of the given function is 5x-5 ≥ 0
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A 2 meter television camera at ground level is filming the lift-off of a space shuttle at a point 750 meters from the launch pad. The camera’s angle of elevation to the shuttle is 32° at this specific time . Find the height of the shuttle.
To find the height of the shuttle, we can use trigonometry and the concept of similar triangles. The height of the shuttle is approximately 468.675 meters.
Let's assume that the height of the shuttle is represented by 'h' meters. From the information given, we know that the distance between the camera and the launch pad is 750 meters, and the angle of elevation from the camera to the shuttle is 32 degrees.
Using trigonometry, we can set up the following equation:
tan(32°) = h / 750
To find the value of h, we can rearrange the equation:
h = tan(32°) * 750
Using a calculator, we can find the value of tan(32°) ≈ 0.6249.
Now we can calculate the height of the shuttle:
h ≈ 0.6249 * 750
h ≈ 468.675 meters
Therefore, the height of the shuttle is approximately 468.675 meters.
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Please help I been stuck on this question for so long
Answer: 1/ 3 ^9
Step-by-step explanation:
Answer:
1/39
Step-by-step explanation:
3-9=1/39
The answer is 0ne over three exponent nine
please help me asap; thank you
Answer:
Step-by-step explanation:
You can use the sin function,
cos x= adj/hyp
cos x= 14.3/19=0.752
x=arcos 0.752= 41.18 degrees
What is the volume of a square pyramid with base edges of 18 cm and a slant height of 15 cm?
Answer:
the volume of the square pyramid is 2430 cubic cm
Answer:
1296 cm³
Step-by-step explanation:
V = a² x [√s²- (a/2)²] / 3
a = 18 cm
s = 15 cm
V = 18² x [√15²-(18/2)²] / 3 = 18² x [√225-81] / 3
V = 324 x (√144/3) = 1296 cm³
Which type of function best represents the data shown in the table above? Linear Quadratic Exponential
2. Decide which of the statements are true regarding the table above. 000 The first differences are constant. The ratio of the first difference to the second difference is constant. The second differences are constant.
3. Which type of function best represents the data shown in the table below? Linear Quadratic Exponential
help me pls D:
1. The type of function which is best represented by the data in the table is; Quadratic.
2. The statement which is true is; The second differences are constant.
3. The type of function which is best represented by the given table is; Linear equation.
What are distinguishing features of linear and quadratic equations?It is evident from the task content that the functions which correctly represents each data table is required to be determined.
Since linear functions are functions in which case, the first differences are constant while quadratic functions are functions in which the second differences are constant.
On this note, the first table correctly represents a quadratic function while the second represents a linear function.
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Izza izza izza izza izza izza Izza izza izza izza izza izza
Solve the system of equations. Show your thinking.
�
=
−
1
4
(
3
�
−
36
)
y=−
4
1
(3x−36)
�
=
−
1
2
�
+
8
y=−
2
1
x+8
The solution of the system of equation above is (4, 6).
Find the solution of equationequation I = y=-1/4(3x-36)
y= -¾x+9
equation II= y=-1/2x+8
Substitute equation I into equation II
y= -¾x+9
-1/2x+8=-¾x+9
¾x-½x=9-8
¼x=1
x=4
Next, substitute the value x=4 into equation I
y= -¾x+9
y= -¾(4) +9
y=-3+9
y=6
The solution to the system of equations is (4, 6).
Your question is incomplete but most probably your full question was:
Solve the system of equations. Show your thinking. y=-1/4(3x-36) y=-1/2x+8
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What is the meaning of conditionally promoted in school