16 for the first one
25.2 for the second one
48 times every 90 secnds for the 3rd one
12 for the 4th one
18 for the 5th one
.57 for the last one
determine whether the equation below has a one solutions, no solutions , or an infinite number of solutions. afterwards determine two values of x value that support your conclusion
Two values of x that support this conclusion are x = 2 and x = -4. When x is equal to 2, the equation is satisfied: 2(2) + 3 = 2 - 1. When x is equal to -4, the equation is also satisfied: 2(-4) + 3 = -4 - 1.
What is the values ?Values are beliefs, principles, or qualities that are considered worthwhile or desirable. They are the fundamental beliefs that guide an individual’s behavior and choices. Values are important because they help people to make decisions and determine what is meaningful and important in life. Examples of values include honesty, fairness, respect, responsibility, compassion, and loyalty. Values can also include religious beliefs or spiritual values, as well as cultural values.
2x + 3 = x - 1
This equation has one solution. The solution is x = 2. This can be determined by solving for x by subtracting two from both sides, resulting in a value of 3x = 4. Dividing both sides by 3, we get x = 2.
Two values of x that support this conclusion are x = 2 and x = -4. When x is equal to 2, the equation is satisfied: 2(2) + 3 = 2 - 1. When x is equal to -4, the equation is also satisfied: 2(-4) + 3 = -4 - 1.
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Find F as a function of x and evaluate it at x = 4, X = 7, and x = 10. (Round your answers to four decimal places.) Fx = ∫ cos(θ) dθ F(x) = ___
F(4) = ___
F(7) = ___
F(10) = ___
To find F as a function of x, we need to integrate cos(θ) with respect to θ. The integral of cos(θ) is sin(θ). Therefore, Fx = sin(θ) + C, where C is the constant of integration.
Since we are not given any specific limits of integration, the constant of integration C remains unknown. As a result, we cannot determine the exact value of F(x). However, we can evaluate F(x) at specific values of x. Let's calculate F(4), F(7), and F(10) by substituting the respective values of x into Fx = sin(θ) + C. We find that F(4) = sin(4) + C, F(7) = sin(7) + C, and F(10) = sin(10) + C.
As mentioned earlier, without the value of the constant of integration C, we cannot determine the exact values of F(4), F(7), and F(10). We can only provide the values as sin(4) + C, sin(7) + C, and sin(10) + C, respectively.
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Tamara wants to find the distance from (2, –10) to other points. For which points in the same quadrant as (2, –10) could Tamara use a number line to find the distance? Check all that apply
The points that has same quadrant as (2, –10) could Tamara use a number line to find the distance are (2, -9), (10, -10) and (7, -10)
The coordinates of the first point = (2, -10)
Using the number line we can only find the distance when the y coordinates or the x coordinates of the lines are equal
Here the first point is (2, -10)
The next point should be same quadrant, then the x coordinate will be positive and y coordinate will be negative
The points with same x coordinates = (2, -9)
The points with same y coordinates = (10, -10) and (7, -10)
Hence, the points that has same quadrant as (2, –10) could Tamara use a number line to find the distance are (2, -9), (10, -10) and (7, -10)
The complete question is
Tamara wants to find the distance from (2, –10) to other points. For which points in the same quadrant as (2, –10) could Tamara use a number line to find the distance? Check all that apply. (10, –10) (3, –2) (2, –9) (7, –10) (9, –2) (10, –2) (12, –1)
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A fishing boat leaves its home port and travels 150 mi directly east. It then changes course and travels 40 mi due north. How long will the direct return trip take if the boat averages 23 mi/h ?
To determine the time it will take for the fishing boat to make the direct return trip, we need to calculate the total distance traveled and divide it by the average speed. The boat traveled 150 miles east and then 40 miles north, resulting in a total distance of 190 miles. Dividing this distance by the average speed of 23 mi/h, the direct return trip will take approximately 8.26 hours.
The fishing boat traveled 150 miles directly east and then changed course to travel 40 miles due north. The total distance covered in the direct return trip is the sum of these distances, which is 150 miles + 40 miles = 190 miles.
To calculate the time it will take for the direct return trip, we divide the total distance by the average speed. The average speed is given as 23 mi/h.
Therefore, the time it will take for the direct return trip is 190 miles / 23 mi/h ≈ 8.26 hours.
Thus, the fishing boat will take approximately 8.26 hours to complete the direct return trip.
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Using the Linear equation 4x-3y=12, express each of the following.
y in terms of x. y=
Using the Linear equation 4x-3y=12, express each of the following.
x in terms of y. x=
Using the given linear function, it is found that the expressions are given by:
\(y = \frac{4x}{3} - 4\).\(x = \frac{3y}{4} + 3\).What is the given linear function?It is:
4x - 3y = 12.
To find y in terms of x, we isolate y, hence the expression is given by:
\(3y = 4x - 12\)
\(y = \frac{4x}{3} - 4\)
To find x in terms of y, we isolate x, hence the expression is given by:
\(4x = 12 + 3y\)
\(x = \frac{3y}{4} + 3\)
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g(6) = 5b - 9
h(b) = (b − 1)2
Answer:
1600
Step-by-step explanation:
(h ° g)(-6) =((5b -9)-1)²
=(5b-10)²
=(5(-6)-10)²
=(-30-10)²
=(-40)²
=1600
Find the Product.
\((9f+10)^{2}\)
Answer:
81f^2 + 180f + 100
Step-by-step explanation:
(9f +10)(9f+10)= 81f^2+ 90f+ 90f+100 = 81f^2 + 180f +100
Answer:
81f^2+180f+100
Step-by-step explanation:
(9f+10)^2
you can group it so it's:
(9f+10)(9f+10)
and then multiply that out (FOIL)
9f*9f = 81f^2
9f*10=90f 10*9f=90f 90f+90f=180f
10*10=100
\(\frac{r\\^{3} }{r}\)
Answer:
huh?
Step-by-step explanation:
Is n = 2 a solution to the inequality below?
2
Yes or no
Answer:
No
Step-by-step explanation:
It says n > 2. This means n is larger than 2. Therefore, it cannot be a correct solution.
If the symbol was n ≥ 2, then it would be a solution as that symbol means greater than or the same as 2.
Find a is XZ=19,Xy=a+4 and YZ=a-7.
Answer:
a = 11
Step-by-step explanation:
XY + YZ = XZ = 19
(a + 4) + (a - 7) = 19
2a - 3 = 19
2a = 22
a = 11
Samuel uses cubes of the same size as the small cubes to make a cuboid twice as long, three times as wide and four times as high as Edmund's cube. How many more cubes does Samuel use than Edmund?
Answer:
23 more cubes
Step-by-step explanation:
If it's 2 times as long, the length is 2
If it's 3 times as wide, the width is 3
It it's 4 times as high, the height is 4
2 · 3 · 4 = 24, which is 23 more than 1
Solve (y-7)2²-8= 0, where y is a real number.
Simplify your answer as much as possible.
Answer:
y=8
Step-by-step explanation:
4y-28-8=0
4y=32
y=8
What's a real number between -1/10 and 0?
Answer:
The answer is at the bottom!!
Step-by-step explanation:
And All of those Natural Numbers will be starting with 1 so we will be having other Numbers as well on which No Number will be mapped like 2 or 211 or 79 So This Means Set of Natural Numbers is Grater then Real Numbers Between 0 and 1. So Set of Real Numbers Between 0 and 1 is Countably Infinite.
Hope this helps!!
Which expression is equivalent to Negative 2 and one-fourth divided by negative two-thirds?
The answer of the given question based on the expression is equivalent is , \(\frac{27}{8}\) .
What is Expression?In mathematics, an expression is a combination of numbers, variables, and mathematical operations that represents a quantity or a value. Expressions can be simple or complex, and they can include constants, variables, coefficients, and exponents. Expressions can be evaluated or simplified using various techniques, like the order of operations, algebraic manipulation, and factoring. The value of an expression depends on the values of its variables and constants.
The expression "Negative 2 and one-fourth divided by negative two-thirds" we can write as:
\(-2\frac{1}{4}\) ÷\((-\frac{2}{3} )\)
To simplify this expression, we first need to convert the mixed number \(-2\frac{1}{4}\) to an improper fraction:
\(-2\frac{1}{4} = -\frac{9}{4}\)
Substituting this value and the fraction (\(-\frac{2}{3}\) ) into the expression, we get:
\(-\frac{9}{4}\) ÷ \((-\frac{2}{3} )\)
To divide fractions, we invert the second fraction and multiply:
\(-\frac{9}{4}\) × \((-\frac{3}{2} )\)
Simplifying the numerator and denominator, we get:
\(\frac{27}{8}\)
Therefore, expression that is equivalent to "Negative 2 and one-fourth divided by negative two-thirds" is \(\frac{27}{8}\) .
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an article gave the following observations on a maximum concrete pressure (kn/m^2): 33.3 41.8 37.4 40.2 36.7 39.1 36.2 41.8 36.0 35.2 36.7 38.9 35.8 35.2 40.1 using a normal probability plot, we ascertain that it is plausible that this sample was taken from a normal population distribution. calculate an upper confidence bound with confidence level 95% for the population standard deviation of maximum pressure.
A mean of a normal distribution's upper bound of a 95% confidence interval is 58.11.
What does "confidence interval" mean?This confidence interval would just be constructed using the Z or t distribution depending on the confidence level that was selected and the standard error of the point estimate.The standard error of the point estimate will be used to account for the variation in the important finding for every one of the outcome measures.For the given question,
sample mean μ = 554.4/15 = 36.96standard deviatio σ = 41.8sample size n = 15confidence interval = 95%The confidence bound's upper limit (UCB) is determined as follows:
UCB = μ + z(α/2)×σ/√n
Now, α/2 = (1 - 0.95)/2
α/2 = 0.025
z(α/2) = 1.96 (obtain from t-distribution table for degree of freedom)
Put the values in the formula,
UCB = μ + z(α/2)×σ/√n
UCB = 36.96 + 1.96×41.8/√15
UCB = 58.11
As a result, 58.11 is the upper bound of a 95% confidence interval for the mean of a normal distribution.
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Please help me on this!
Jack has an insurance policy with a premium of $20 per month. In March, he's in an accident and receives a bill with a total cost of $1,500. His deductible is $500, and his coverage limit is $1000. How much total money will Jack pay for the accident in March?
Question 5 options:
$1500
$3000
$500
$20
$1000
Answer:
Step-by-step explanation:
Describe and correct the error a student made when solving the equation 7=-4(x+7)-3+2x. What is the correct solution?
Answer:
7=-4(x+7)-3+2x
BODMAS
7=-4x-28-3+2x
7=-2x-31
7+31=-2x
x=38/2
x= -19
1. the probability you'll see a falling star in the sky over the course of one hour is 0.44. what's the probability you'll see one over half an hour? (asked by citadel)
The probability you'll see one over half an hour is 0.26
The term probability in math is defined as the possibility of the outcome of any random event
Here we have given that the probability you'll see a falling star in the sky over the course of one hour is 0.44.
Then in an hour can be taken as two half hours so we can write the probability to see a falling star as
Then it can be written as,
=> (1-P)*(1-P) = 1 - 0.44
When we simplify this one then we get
=> (1 - P)² = 0.56
Here we need to value of p then it can be written as,
=> 1 - P = √0.56
Then the value of P is calculated as,
=> -P = 0.74 - 1
=> P = 0.26
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The SC Electric Company has bid on two electrical wiring jobs. The owner of the company believes that
• the probability of being awarded the first job (Event A) is 0.75;
• the probability of being awarded the second job (Event B) is 0.5; and
• the probability of being awarded both jobs (A and B) is 0.375.
If the owner's beliefs are correct, which of the following statements must be true concerning event A and event B?
If the owner's beliefs are correct, the probability of being awarded the second job (Event B) is 0.5 . Event A and Event B are not mutually exclusive and are independent and must be true for event A and event B.
Simply put, the probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes.
By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1. Additionally, the proportion of positive outcomes cannot be negative. In the sections that follow, let's go into greater detail on the fundamentals of probability.
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Simplify: (8c3+c2d)−(9cd2−5d3)+(−3c2d−8cd2)
In every box of bubble gum there are 18 pieces, which describes a proportional relationship between the number of packages, x,
and the number of pieces, y. Choose the equation that expresses this relationship.
Ay=9x
B y = 18x
Cy=
Dy = kr
0 0 0 0 0 0 0 0 0 0 0 0 0 0
00069AVAVAVAVA 0 0 0 0 0 0 0 0 0 0 6
AVAVAVAVAVAVA0000000
2600960 69 69 690000000
696969696969090
AV A V A V A V A V A V A V0909090
0 0
By using the concept of proportionality, it can be calculated that
The given relationship is y = 18x
What is proportionality?
Suppose there are two quantities. Proportionality indicates that if there is a change in the value of one quantity, the value of other quantity also changes but maintaining a constant ratio
Proportionality can be direct or inverse
Direct proportion
Two quantities are said to be in direct proportion if on increasing the value of one quantity, the value of other quantity also increases and vice versa.
For example cost of a commodity and quantity of a commodity are in direct proportion
Inverse proportion
Two quantities are said to be in inverse proportion if on increasing the value of one quantity, the value of other quantity decreases and vice versa.
For example Number of men and number of days taken by those men to complete a job.
Here the proportional relation is calculated
Number of bubble gums in one box = 18
Number of bubble gums in 18 boxes = 18x
By the problem,
y = 18x
The given relationship is y = 18x
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Crystal cuts a piece of wood into the shape of a triangle. The height of the triangle is 5 inches, and the base of the triangle measures 8 inches. Crystal makes a scale drawing of the triangle. If the height of her scale drawing is 2 inches, what is the area of her scale drawing?
A. 1.6 square inches
B. 6.4 square inches
C. 3.2 square inches
D. 20 square inches
Answer:
20 square units
Step-by-step explanation:
Given
Height ( h ) = 5 inches
Base ( b ) = 8 inches
To find : Area of the triangle
This triangle is a right angled triangle.
Reason
The height is perpendicular ( ⊥ ) to the base.
Formula
Area of right angled triangle = bh/2
Area of this triangle
= (5 x 8)/2
= 40/2
= 20 square units
May I get some help with this, please?!? I will greatly appreciate it!
Answer:
its C
Step-by-step explanation:
Answer:
C
hope it helps
thank you...
please help! I don't understand
The length of the chord RS of the circle using the chord-chord power theorem is 16.
What is the length of line segment RS?The chord-chord power theorem simply state that "If two chords of a circle intersect, then the product of the measures of the parts of one chord is equal or the same as the product of the measures of the parts of the other chord".
From the diagram;
First chord:
Line segment PT = 4
Line segment TQ = 16
Second chord:
Line segment RT = x
Line segment TX = x
Now, usig the chord-chord power theorem:
x × x = 4 × 16
Solve for x
x² = 64
Take the square root of both sides:
x = ±√64
x = ±8
We take the positive value since we are dealing with dimension.
Hence:
x = 8
Now, we find the length of RS.
Line segment RS = x + x
Line segment RS = 8 + 8
Line segment RS = 16
Therefore, the line segment RS is 16.
Option C) 16 is the correct answer.
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Consider a regular pyramid A with a square base and a right circular cone B.
It is given that the length of a side of the square base of pyramid A is the same as the base radius of cone B.
If the two solids have the same volume, which solid will have a greater height? Explain your answer.
Please help me solve this question with steps!orz
Answer:
Pyramid
Step-by-step explanation:
\(\text{Volume of a Square Pyramid }=\frac{1}{3} \times l^2 \times Height\\\\ \text{Volume of a Cone }=\frac{1}{3} \pi r^2 \times Height\)
Given that the two solids have the same volume
\(\frac{1}{3} \times l^2 \times Height=\frac{1}{3} \pi r^2 \times Height\)
If the length of a side of the square base of pyramid A is the same as the base radius of cone B. i.e l=r
\(\frac{1}{3} \times l^2 \times $Height of Pyramid=$\frac{1}{3} \pi l^2 \times $Height of cone$\\\\$Cancel out $ \frac{1}{3} \times l^2$ on both sides\\\\Height of Pyramid= \pi \times $ Height of cone$\)
If the height of the cone is 1
\(H$eight of Pyramid= \pi \times 1 \approx 3.14$ units\)
Therefore, the pyramid has a greater height.
How much warmer is 52 than 40
Answer:
see explanation
Step-by-step explanation:
8
If you take the square root of 52 and then divide by two you get about 3.6. You take i and multiply it by that and you get 4. Then divide 40 by 2 to get 20. Then you subtract the inverse of the mulltiagion thereom to get 4.
4+4=8
Find the value of x.
Answer:
Buffalo
Step-by-step explanation:
jfvjuvf
Answer:
90
Step-by-step explanation:
its a right angle
A number cube is tossed 60 times. outcome frequency 1 12 2 13 3 11 4 6 5 10 6 8 determine the experimental probability of landing on a number greater than 4.
The experimental probability of landing on a number greater than 4 is 0.25 or 25%.
To find this probability, we need to determine the number of successful outcomes (landing on a number greater than 4) and divide that by the total number of trials (60).
The successful outcomes are 5 and 6, with a frequency of 10 and 8 respectively. To add these two frequencies together, we can use 10 + 8 = 18.
So, the experimental probability is 18/60 = 0.3 or 25%.
It's important to note that experimental probability is based on the outcomes of an experiment or a sample and it may not be the same as a theoretical probability which is based on the ratio of favorable outcomes to the total number of outcomes in a theoretical model.
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the answer in fraction form is 18/60
if thats what you are looking for.
What is the surface area of the triangular prism?
TY
The surface area of the triangular prism with given dimensions in the figure is equal to 144 square centimeters.
Surface area of the triangular prism
= Area of the two triangles + Area of the three rectangular faces
In triangles,
3, 4, 5 are Pythagorean triplets.
It is a right angled triangle.
Area of triangle
= ( 1/2) × base × height
= ( 1/2) × 4 × 3
= 6 cm²
Area of two triangles = 2 × 6
= 12 cm²
Area of rectangle = length × width
Rectangle 1 ,
length = 11 cm , width = 5cm
Rectangle 2 ,
length = 11 cm , width = 4cm
Rectangle 3 ,
length = 11 cm , width = 3cm
Area of three rectangles = ( 3 + 4+ 5 ) × 11
= 132 cm²
Surface area of the triangular prism = 12 + 132
= 144 square centimeters
Therefore, the surface area of the triangular prism is equal to 144 square centimeters.
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90 in radio of 2:3:7
Answer:
15:22.5:52.5
Step-by-step explanation:
The first step is to calculate the sum
2+3+7
= 12
2/12 ×90
1/6×90
= 15
3/12×90
1/4×90
= 22.5
7/12×90
= 52.5
Hence the answer is
15:22.5:52.5