-10 belongs to the set of negative integers and rational numbers and also belongs to the set of real numbers.
need help solving for x
Answer:
x = 4
Step-by-step explanation:
the two angles you see are alternate exterior angles, meaning they are equal to eachother.
32x + 2 = 33x - 2
subtract so that x is on one side. 33 - 32 = 1, so the equation would be
2 = x - 2
add 2 to both sides.
4 = x
hope i helped.
Answer:
x = 16x
Step-by-step explanation:
32x divided by 2 equals 16x
33x minus 2 also equals 16x
Since the numbers are the same for both equations X equals 16x
how long word it take to travel a distance of 200 km if it traveling at a velocity of 55km
Javed saves Rs 50 000 in a bank. The annual interest is 2.5%. How much money will Mr Javed have in the account after one year? Javed saves Rs 50 000 in a bank . The annual interest is 2.5 % . How much money will Mr Javed have in the account after one year ?
Step-by-step explanation:
Tom works at an aquarium shop on Saturdays. One Saturday, when Tom gets to work, he is asked to clean a 180-gallon reef tank. His first job is to drain the tank. He puts a hose into the tank and starts a siphon. Tom wonders if the tank will finish draining before he leaves work. He charts the amount of water remaining in the tank over time as shown in the table below.
Please find the question attached below.
The equation that models the decrease in water (in gallons) of the fish tank over time (in hours) is y = - 20x + 180.
We know that a linear equation with one variable is one that contains just one variable.
Here we have to find the appropriate equation that models the given chart.
For option A. :
y = - 40x + 140
At x = 2, y = - 40*2 + 140 = - 80 + 140 = 60 =/ 140
So this option is incorrect.
For option B.:
y = - 40x + 180
At x = 2, y = - 40*2 + 180 = - 80 + 180 = 100 =/ 140
So this option is incorrect.
For option C.:
y = - 20x + 140
At x = 2, y = - 20*2 + 140 = - 40 + 140 = 100 =/ 140
So this option is incorrect.
For option D.:
y = - 20x + 180
At x = 2, y = - 20*2 + 180 = - 40 + 180 = 140
So this option is correct.
Therefore, the equation that models the decrease in water (in gallons) of the fish tank over time (in hours) is y = - 20x + 180. So, the last option is correct.
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Can someone answer this please. Trolls will be reported
Answer: D
Step-by-step explanation:
See attached image.
Formulate the indicated conclusion in nontechnical terms. Be sure to address the original claim. Carter motor company claims that its new sedan, the libra, will average better than 32 miles per gallon in the city. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is to reject the null hypothesis, state the conclusion in nontechnical terms.
Rejecting the null thesis means that;
There's sufficient substantiation to support the claim that the mean is lesser than 32 long hauls per gallon.
For thesis testing, the first thing to define is the null and indispensable thesis.
In thesis testing, especially one comparing two sets of data, the null thesis plays the devil's advocate and generally takes the form of the contrary of the proposition to be tested. It generally contains the signs = , ≤ and ≥ depending on the directions of the test. It generally maintains that, with arbitrary chance responsible for the outgrowth or results of any experimental study/ thesis testing, its statement is true.
The indispensable thesis generally confirms the proposition being tested by the experimental setup. It generally contains the signs ≠,< and> depending on the directions of the test. It generally maintains that significant factors other than arbitrary chance, affect the outgrowth or results of the experimental study/ thesis testing and affect in its own statement.
For this question, Carter Motor Company claims that its new hydrofoil, the Libra, will total better than 32 long hauls per gallon in the megacity. And since this is talking distance covered per gallon of energy, better means that the new hydrofoil will total further than 32 long hauls per gallon.
So, the null thesis negating this claim would be that there is not significant substantiation to conclude that the normal of the new hydrofoil will be more or lesser than 32 long hauls per gallon.
That is, the new normal will be lower than or equal to 32 long hauls per hour.
And the indispensable thesis will confirm the claim that there's significant substantiation to conclude that the normal of the new hydrofoil will be more or lesser than 32 long hauls per gallon.
Mathematically,
The null thesis is represented as
H ₀ μ ≤ 32 long hauls per gallon
The indispensable thesis is given as
Hₐ μ> 32 long hauls per gallon
So, after the thesis test has been conducted, rejecting the null thesis means accepting the indispensable thesis and its statement that there's significant substantiation to conclude that the normal of the new hydrofoil will be more or lesser than 32 long hauls per gallon.
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helpppppppppppppppppppppppppp!
Answer:
[tex] \boxed{ \tt{x = - 26}}[/tex]- Please see the attached picture for full solution!:)
------------------ HappY LearninG<3 -------------
Answer:
x = -26
Step-by-step explanation:
[tex]5^7^x^+^5 =125^2^x^-^7\\\\5^7^x^+^5 =5^3^(^2^x^-^7^)\\\\5^7^x^+^5 =5^6^x^-^2^1[/tex]
∴ 7x + 5 = 6x - 21
7x - 6x + 5 = -21
x = -21 - 5
x = -26
PLEASE HELP NEED ANSWER ASAP NEED HELP WITH SPECIFICALLY NUMBER 5
Daniel stands on one side of a stream that is 400 feet wide. He wants to reach his campsite that is 1600 feet downstream on the opposite side. He decides he will swim to the boat ramp on the opposite side, which is part way downstream toward the campsite, then jog the rest of the way. The angle formed by Daniel’s swim path and the shore at the boat ramp is .
(Score for Question 1: ___ of 3 points)
1. Draw a labeled diagram of the scenario.
Answer:
(Score for Question 2: ___ of 4 points)
2. Daniel can swim at an average rate of 150 feet per minute. How many minutes does it take him to swim to the boat ramp? Round your answer to the nearest hundredth.
Answer:
(Score for Question 3: ___ of 3 points)
3. How far is the boat ramp from the campsite? Round your answer to the nearest hundredth.
Answer:
(Score for Question 4: ___ of 4 points)
4. Daniel can jog at 4 miles per hour. How many minutes does it take him to jog from the boat ramp to the campsite? Round your answer to the nearest hundredth.
Answer:
(Score for Question 5: ___ of 6 points)
5. Daniel arrives at his campsite out of breath from his swim and jog. His sister tells him that he should have swam to the boat ramp that is only 200 feet from the campsite and then jogged. She claims that he would have arrived quicker this way.
Is Daniel’s sister correct? Support your answer mathematically.
Answer:
yes
Step-by-step explanation:
she is right because if he had did as she said it could have been better
A number has 7 added to it and the sum is multiplied by 5. When the value is divided by 11, the quotient obtained is 10. Find the original number.
You are driving on a freeway with a posted speed of 65 mph. Nearly all of the cars are traveling between 35 and 40 mph. What would be a safe speed for you to drive
30 mph would be a safe speed for you to drive.
Collisions are much more likely to occur when one driver travels greater speedy or more slowly than the alternative motors on the road. You have to input a throughway at or near the velocity of visitors except if the speed of site visitors exceeds the prison speed restrict.
A pedestrian has a 90 percent threat of survival if hit by a vehicle transferring at 30 km ph (18.64 mph). This decreases to 70 percent at 40 kmph (24. eighty five mph) and much less than 20 percent at 50kmph (31 mph). driving at decreased speeds also enables drivers to stop within a shorter distance.
Retaining high speeds on highways is straightforward, as roads are wider and traffic is usually mild. If there are signs that show a pace restriction of 80kph, use them as a guide and stick near them. it's also an excellent exercise to assess road situations and set your pace thus.
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EVALUATE (mn)(x) for x = -3.
The value of expression (m n)(x) for x=-3 by putting x=-3 is -3mn.
Given Expression (m n)(x) and we have to find the value for x=-3.
Expression refers to the combinations of numbers, symbols, variables. It is usually not present in equal to form. It is often solved for finding the overall relationship between variables. It is often expresses quantity of one variable and combination of some material.
The given expression is (mn)(x)
To find the value of expression for x=-3, we have to just put the value of x=-3
mn(x)=(mn)(-3)
=(mn)-3
=-3mn
Hence the value of expression (mn)(x) for x=-3 is -3mn.
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please help me i dont understand this
Answer:
200.96 m^2
Step-by-step explanation:
The formula for the area of a circle is πr^2, where r is the radius of the circle and π is approximately 3.14. We know that the diameter is 16 meters, and the radius is always half of the diameter (the diameter connects two ends of the circle, while the radius connects one point to the center). Therefore, the radius of this circle is 8m. Now we have all the information we need. The area of this circle is (3.14)(8)^2 = 3.14*64 = 200.96 m^2 (area is always in squared units)
Answer:
200.96m²
Step-by-step explanation:
Area of a Circle: Pi×r²
where:
pi = 3.14
r = diameter / 2
= 16÷2
= 8
Area = 3.14 × 8 × 8
= 200.96m²
12. Create a two-way relative frequency table (in decimals) for the data in Exercise 9. Communication Gender Male Femal e Total Text 150.0 Talk 72.0 36.0 Social Media Apps 28.0 32.0 Total 250.0 150.0 12. Create a two - way relative frequency table ( in decimals ) for the data in Exercise 9 . Communication Gender Male Femal e Total Text 150.0 Talk 72.0 36.0 Social Media Apps 28.0 32.0 Total 250.0 150.0
See below for the steps to the two-way relative frequency table
How to create the two-way relative frequency table?The table of values is given as:
Communication Gender Male Female Total
Text 150.0 82.0 232.0
Talk 72.0 36.0 108.0
Social Media Apps 28.0 32.0 60.0
Total 250.0 150.0 400.0
Start by dividing each cell by the column total
Male Female Total
Text 150.0/250 = 0.6 82.0/150 = 0.55 232/400 = 0.58
Talk 72.0/250 = 0.288 36.0/150 = 0.24 108/400 = 0.27
Social Media Apps 28.0/250 = 0.112 32.0/150 = 0.21 60/400 = 0.15
Rewrite properly as:
Male Female Total
Text 0.60 0.55 0.58
Talk 0.288 0.24 0.27
Social Media Apps 0.112 0.21 0.15
Total 1 1 1
The above represents the two-way relative frequency table
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(06.01 MC)
The following data show the number of times different students of a class practice swimming
in a month:
Considering the given data-set, the dot plot is incorrect for the number 1.
What does a dot plot shows?The dot plot shows the number of times each measure appears in the data-set.
In this problem, number 1 appears only twice on the data-set, but has 3 dots, hence it is incorrect, it should be 2 dots.
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Please helppp! I’ve been stuck for almost 45 minutes now.
The system of inequality is y > 3 and 3x -2y < 1 these are the inequalities that represent the region.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
We have a line showing the graph.
First, we have to calculate the equation of the line:
The horizontal line:
y = 3
The region represents the inequality:
y > 3
Second inequality line:
[tex]\rm \dfrac{x}{-2}+\dfrac{y}{3} < 1[/tex]
3x -2y < 1
Thus, the system of inequality is y > 3 and 3x -2y < 1 these are the inequalities that represent the region.
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Let the graph of g be a translation 2 units up and 2 units right, followed by a reflection in the y-axis of the graph of f(x) = -(x + 3)2. Write a rule for g.
Answer:
6
Step-by-step explanation:
2+2+2
You know that a pair of triangles has two pairs of congruent corresponding angles. What other information do you need to show that the triangles are congruent?
Answer: A pair of congruent, corresponding sides
Step-by-step explanation:
This will make the triangles congruent by either AAS or ASA.
A pair of congruent, corresponding sides will make the triangles congruent by either AAS or ASA property.
What is the congruent triangle?Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
Consider it is given that two triangles ΔABC ≅ ΔDEF
Then that means ΔABC and ΔDEF are congruent. A Congruent triangles are exact same triangles, but they might be placed at different positions.
The order in which the congruency is written.
For ΔABC ≅ ΔDEF, since all of their corresponding elements like angle and sides congruent.
The ASA congruent rule state that If corresponding two angles and one corresponding side of two triangles are of same measurement, then the considered pair of triangles are congruent.
This will make the triangles congruent by either AAS or ASA property.
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(but does not require a calculator).
Calculate the density of an irregularly shaped solid reporting to the correct number of significant
figures. The volume of the solid was found by placing the solid into a graduated cylinder filled with
water with an initial volume of 15.0-mL. The final water level volume with the solid was 17.0-mL.
The mass of the solid was 10.0 g.
• This calculation involves multiple operations. Make sure you do the operations separately and
round at end.
O 5 g/mL
O 5.00 g/mL
O 2.0 g/mL
5.0 g/mL
O 2.00 g/mL
The density is:
D = 10g/2mL = 5 g/mL
The correct option is the first one.
How to get the density?Remember that density is defined as the quotient between mass and volume.
We know that the mass of the solid is 10.0 grams.
And the volume of the solid is given by the difference between the volume of the water alone (15.0 mL) and the water with the solid (17 mL).
V = 17mL - 15mL = 2mL
Then the density is:
D = 10g/2mL = 5 g/mL
The correct option is the first one.
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help me solve this!!!
Answer:
C
Step-by-step explanation:
Here we can see this is a bit of an trial and error, let's go through the options individually.
To find whether the ordered pair satisfies the equation, we will substitute x and y into the equation. To have the ordered pair to satisfy the equation, the value must be 7.
A) Given x = -5 , y = 3,
[tex]-5x+3y= - 5(-5)+3(3)\\=25+9\\= 34\\34 \neq 7[/tex]
Therefore this pair does not satisfy the equation.
B) Given x = 2, y = -1,
[tex]-5x+3y = -5(2)+3(-1)\\= -10-3\\=-13\\-13 \neq 7[/tex]
Therefore this pair does not satisfy the equation.
C) Given x = 7, y = 14,
[tex]-5x+3y = -5(7)+3(14)\\= -35 + 42\\= 7[/tex]
Therefore this pair satisfy the equation.
D) Given x = -2, y =[tex]-\frac{13}{5}[/tex],
[tex]-5x+3y = -5(-2)+3(-\frac{13}{5} )\\=-10-\frac{39}{5} \\=-17.8 or -17\frac{4}{5} \\-17.8\neq 7[/tex]
Therefore this pair does not satisfy the equation.
What is the value of the logarithm below? (Round your answer to two decimal
places.)
log₂7
A. 0.58
B. 2.11
C. 0.85
D. 2.81
Verify csc^2t-cos t sect= cot^2 t
Rewriting the left hand side,
csc²t - cost sec t
= (1/sin²t)-(cost)(1/cost)
= 1/sin²t - 1
= 1/sin²t - sin²t/sin²t
= (1-sin²t)/sin²t
= cos²t/sin²t
= cot²t
Step-by-step explanation:
assuming this is correct, you can really manipulate either side and you should arrive eventually arrive to same sides. But in this case you usually manipulate the more complex side. So I'll manipulate the left side.
Original Equation:
[tex]csc^2(t)-cos(t)*sec(t)=cot^2(t)[/tex]
Rewrite csc and sec, using the reciprocal identities:
[tex](\frac{1}{sin(t)})^2-cos(t)*\frac{1}{cos(t)}=cot^2(t)[/tex]
multiply cos(t) and 1/cos(t) and also distribute the exponent:
[tex]\frac{1}{sin^2t}-1=cot(t)^2[/tex]
Multiply 1 by sin^2(t)/sin^2(t)
[tex]\frac{1}{sin^2(t)}-\frac{sin^2(t)}{sin^2(t)}[/tex]
subtract the numerator
[tex]\frac{1-sin^2(t)}{sin^2(t)}[/tex]
Pythagorean Identity:
[tex]sin^2(t)+cos^2(t)=1[/tex]
subtract sin^2(t) from both sides
[tex]cos^2(t)=1-sin^2(t)[/tex]
Use this to rewrite the numerator:
[tex]\frac{cos^2(t)}{sin^2(t)}[/tex]
Rewrite using the reciprocal identities:
[tex]cot^2(t) = cot^2(t)[/tex]
A pipe fills 11/15 liters of tub in 22/45 minutes. What is it's flow rate in terms of liters per minute?
The flow rate of the given fluid in the pipe is gotten as; 3/2 liters per minute
How to calculate the rate of flow?We are told that a pipe fills 11/15 liters in 22/45 minutes.
Now, to get the flow rate of this pipe, we will use the formula;
Flow rate = Quantity of fluid/Time
Thus;
Flow rate = 11/15 ÷ 22/45
⇒ 11/15 * 45/22
⇒ 3/2 liters per minute
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The length of arc PR is 12 centimeters and its measure is 60° on circle O.
A circle with center O has two radii OP and OR is shown.
The area of sector POR is approximately
square centimeters, and the perimeter of sector POR is approximately
centimeters.
The area of sector POR is approximately equal to 68.76 square centimeters, and the perimeter of sector POR is approximately equal to 34.92 centimeters.
How to calculate the length of the arc?In Mathematics, if you want to calculate the length of an arc formed by a circle, you will divide the central angle that is subtended by the arc by 360 degrees and then multiply this fraction by the circumference of the circle.
Mathematically, the length of an arc formed by a circle is given by:
Length of an arc = 2πr × θ/360
Substituting the given parameters into the formula, the radius of this circle is given by;
12 = 2 × 3.142 × r × 60/360
12 = 2 × 3.142 × r × 1/6
72 = 6.284r
Radius, r = 72/6.284
Radius, r = 11.46 centimeters.
Now, we can calculate the area of sector POR:
Mathematically, the area of a sector can be calculated by using this formula:
Area of sector = πr² × θ/360
Where:
r represents the radius.θ represents the central angle.Substituting the given parameters into the formula, we have;
Area of sector = 3.142 × 11.46² × 60/360
Area of sector = 3.142 × 131.3316 × 1/6
Area of sector = 68.76 square centimeters.
Next, we would calculate the perimeter of sector POR:
Perimeter of sector POR = 2r + Length of an arc
Perimeter of sector POR = 2(11.46) + 12
Perimeter of sector POR = 22.92 + 12
Perimeter of sector POR = 34.92 centimeters.
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Suppose a and b are independent events if p(a|b)=0.55 and p(b)=0.2, what is P(AnB)?
A. 0.275
B. 0.22
C. 0.11
D. 0.165
The value of the probability P(AnB) is 0.11
How to evaluate the probability?The given parameters are:
P(a|b)=0.55 and P(b)=0.2
The value of P(AnB) is calculated using:
P(AnB) = P(a|b) * P(b)
Substitute the known values
P(AnB) = 0.55 * 0.2
Evaluate the product
P(AnB) = 0.11
Hence, the value of the probability P(AnB) is 0.11
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Type the correct answer in each box. Use numerals instead of words.
What are the decimal expansions of the following numbers? Expand to four decimal places if the number is a repeating decimal.
3/9
2/5
7/8
4/6
Find the following value.
Please help!!
Answer: f^-1(1) + f(-14) = 20, f^-1(-2) = 10
Step-by-step explanation:
When finding the inverse through a table of functions, we are doing the opposite of a function. For example:
If f(9) = 1, then, let me ask you, what is f^-1(1)? Well, that's just 9! You're basically doing the opposite.
An inverse through a table of functions is basically you trying to figure out what x-value did you input to get the f(x) value. A regular function is you trying to figure out what f(x) value did you get by inputting an x-value.
So, the inverse of f(1) is 9, and the regular function of -14 is equal to 11. We then add. 11+9 = 20.
The inverse of -2, like I said before, is you trying to find out the x value you put to get -2. Well looking at the table, it seems x was 10. Thus the inverse of -2 is 10.
Figure ABCD is a parallelogram. Points X and Y are placed so that BX ≅ DY and CD ⊥ XY.
The area of BXYC is 71.5 square units. What is the area of ABCD?
99 square units
110 square units
126 square units
143 square units
A quadrilateral in which opposite sides are parallel is called a parallelogram. The correct option is D.
What is a parallelogram?A quadrilateral in which opposite sides are parallel is called a parallelogram. Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.
For a parallelogram, the opposite sides are equal and parallel to each other. We can write,
AD ≅ BC
Since BX ≅ DY, therefore, we can write,
AB = CD
AX + XB = DY + YC
XB = DY, cancelling both the sides,
AX = YC.
Also, XY is the common side.
Since all the sides are equal also the angle are equal, therefore, it can be written,
AXDY ≅ CYXB
Given the area of CYXB is 71.5 square units. Therefore,
ABCD = CYXB + AXDY
ABCD = 2(CYXB)
ABCD = 143 square units.
Hence, the correct option is D.
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HURRY I NEED HELP 80p
Select the correct answer from each drop-down menu. A cube shaped box has a side length of 15 inches and contains 27 identical cube shaped blocks. What is the surface area of all 27 blocks compared to the surface area of the box? The side length of the blocks is (3,4 or 5) inches, so the total surface area of the 27 blocks is (150, 4,050 or 1350) square inches. This is (5 times, 3 times, one third or one-fifth) the surface area of the box.
I need someone to answer the answers in the ( )
Answer:
The side length of the blocks is 5 inches.
The total surface area of the 27 blocks is 4050 square inches.
This is 3 times the surface area of the box.
Step-by-step explanation:
Surface area of a cube
SA = 6s² (where s is the side length)
Given the side length of the box is 15 inches:
⇒ SA of box = 6 · 15² = 1350 in²
Surface Area of blocks with 3 inch side lengths:
⇒ SA = 6 · 3² = 54 in²
⇒ SA of 27 blocks = 27 · 54 = 1458 in²
Surface Area of blocks with 4 inch side lengths:
⇒ SA = 6 · 4² = 96 in²
⇒ SA of 27 blocks = 27 · 96 = 2592 in²
Surface Area of blocks with 5 inch side lengths:
⇒ SA = 6 · 5² = 150 in²
⇒ SA of 27 blocks = 27 · 150 = 4050 in²
Therefore, from the given answer options for the total surface area of the 27 blocks, the side length of the blocks must be 5 inches.
To calculate how many times the total surface area of the 27 blocks is to the surface area of the box:
[tex]\implies \dfrac{\textsf{SA of 27 blocks}}{\textsf{SA of box}}=\sf \dfrac{4050}{1350}=3[/tex]
Summary
The side length of the blocks is 5 inches.
The total surface area of the 27 blocks is 4050 square inches.
This is 3 times the surface area of the box.
please help asap ill appreciate the help.
Answer:
B and D
Step-by-step explanation:
check where the points are. If they are in shaded triangle they are solutions
On applying a load of 100 N to a wire of a cross-sectional area of 0.01 m2, a strain of 6.25×10-3 is produced. Find Young’s Modulus for the wire.
The young modulus of a wire with an area of 0.01 m², that strain 6.25 * 10⁻³ if a load of 100N is applied is 16000 N/m²
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
The young modulus is given as:
Young modulus = stress / strain = load / (area * strain) = 100 / (0.01 * 6.25 * 10⁻³) = 16000 N/m²
The young modulus of a wire with an area of 0.01 m², that strain 6.25 * 10⁻³ if a load of 100N is applied is 16000 N/m²
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