Answer:
The correct answer is x = 7.
Step-by-step explanation:
To solve this problem, our first step is to use the distributive property on the left side of the equation. This is modeled below:
-5x + 10 = -25
Next, we should subtract 10 from both sides of the equation.
-5x = -35
Finally, we should divide both sides of the equation by -5 to get the variable x alone on the left side of the equation.
x = 7
Therefore, the answer is x = 7.
Hope this helps!
Complete the point-slope equation of the line through (1,3)(1,3)left parenthesis, 1, comma, 3, right parenthesis and (5,1)(5,1)left parenthesis, 5, comma, 1, right parenthesis.
Answer: dang that's tough but like look it up
Step-by-step explanation: give brainlyiest
Complete the following statements.
Provided that line AB and line CD are parallel, DNM and BME are congruent because they are .
Answer:
Step-by-step explanation:
because interior angles are equal with parallel lines
Ben and his family are touring Chicago. They want to visit the Willis Tower, hang out at Navy Pier, and shop on Michigan Avenue before their dinner reservations at 5:20 P.M. They plan to spend 1 hour and 20 minutes at the Willis Tower, 3 hours at Navy Pier, and 1 hour and 30 minutes shopping. What is the latest time Ben's family can start their tour of Chicago and still make it to dinner on time?
Ben's family can start their tour of Chicago and still make it to dinner is 3:50 PM.
What are basic arithmetic operations?
Basic arithmetic operations are the fundamental mathematical operations used in mathematics and everyday life. The four basic arithmetic operations are addition, subtraction, multiplication, and division. These operations are used to perform calculations on numbers and solve mathematical problems.
If Ben's family has dinner reservations at 5:20 P.M., then they need to finish their tour and arrive at the restaurant before that time.
The total time they will spend sightseeing is:
1 hour and 20 minutes at the Willis Tower + 3 hours at Navy Pier + 1 hour and 30 minutes shopping = 6 hours and 50 minutes
To make it to dinner on time, they need to finish their tour 1 hour and 30 minutes before their reservation time to allow for travel and unexpected delays.
Therefore, the latest time Ben's family can start their tour of Chicago is:
5:20 PM (dinner reservation time) - 1 hour and 30 minutes = 3:50 PM
If they start their tour by 3:50 PM, they will have 6 hours and 50 minutes to complete their sightseeing and shopping, and still make it to their dinner reservations on time.
Hence, Ben's family can start their tour of Chicago and still make it to dinner is 3:50 PM.
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Consider the following. dt [ 25 25 + t2 Let t = 5 tan(0) and determine the following. dt = do t = 0 + 0 = t = 5 + 0 = Evaluate the integral.
To answer your question, we will consider the given function and substitution, and then evaluate the integral. The given function is: dt / (25 + t^2)
Let t = 5tan(θ), so dt/dθ = 5sec^2(θ)dθ. Now, we will substitute t with 5tan(θ) in the given function:
(5sec^2(θ)dθ) / (25 + (5tan(θ))^2)
Simplify the denominator:
(5sec^2(θ)dθ) / (25 + 25tan^2(θ))
Factor 25 from the denominator:
(5sec^2(θ)dθ) / 25(1 + tan^2(θ))
Recall the Pythagorean identity: 1 + tan^2(θ) = sec^2(θ). Substitute this into the equation:
(5sec^2(θ)dθ) / 25(sec^2(θ))
Now, cancel sec^2(θ) from the numerator and denominator:
(5dθ) / 25
Simplify the fraction:
(1/5)dθ
Now, evaluate the integral:
∫(1/5)dθ = (1/5)θ + C
To find the integral in terms of t, substitute back t = 5tan(θ):
Integral = (1/5)arctan(t/5) + C
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9x-5y=2
3x-4y=10
can anyone please explain how the answer of this question is:
x=-4
y=-2
Answer:
9x-5y=2======>9x-5y=2===>(+)7y=-28=>y=-4=>(1)3x-4(-4)=10=>x+16=20=>x=4
3x-4y=10(1)=>(×-3)-9x+12y=-30=>(+)
The population of a nearby town dropped from 7,500 to 6,000 in one year.
What was the percent decrease in the town's population that year?
Group of answer choices
Answer:Possible Answers: 13.2%. 5.7%. 15.0%.
Step-by-step explanation:
Write the ratio of the surface area of the front of a person to the total surface area of a sphere with a radius of 2m.
The ratio of the surface area of the front of a person to the total surface area of a sphere with a radius of 2 meters is 1/8.
To calculate the ratio of the surface area of the front of a person to the total surface area of a sphere with a radius of 2 meters,
Determine the specific dimensions of the person and assume that they are approximately spherical in shape.
Since no specific measurements are provided, let us make a general estimation.
Assuming that the person is standing upright with their arms at their sides and their front facing forward,
we can approximate their shape as a hemisphere (half of a sphere) with a diameter equal to their shoulder width.
The surface area of a sphere with radius r is given by the formula,
A = 4πr²
The surface area of a hemisphere is half of the surface area of a full sphere:
Area of hemisphere = (1/2) × Area of a sphere
Now, let us calculate the surface area of a sphere with a radius of 2 meters.
Surface area of the front of the person's body,
Assuming the person's shoulder width is approximately 50 cm (0.5 meters),
Area of the front
= (1/2) × Area of sphere
= (1/2) × 4πr²
= (1/2) × 4π(1)²
= 2π square meters
Total surface area of a sphere with a radius of 2 meters,
Area of a sphere
= 4πr²
= 4π(2)²
= 16π square meters
Now, calculate the ratio,
Ratio
= Area of a front / Area of a sphere
= (2π) / (16π)
= 1/8
Therefore, ratio of surface area of the front of a person to the total surface area of a sphere is equal to 1/8.
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(5x2)x7?
What is the answer??????????????????????????????????????????????????????????????????
Answer:
70
Step-by-step explanation:
(5x2) x 7
(10) x 7 = 70
And correct the errors in the following mathematical statement
Which statement.........
Help me with this question please fastttt
Does the point (4, -4) satisfy the equation y = -x?
yes
no
Answer:
noo
because we know that (x,y) is the situation
nd the solution in yr question here y is( -)
hope it helps
Answer:
no
Step-by-step explanation:
( x, y ) = ( 4, - 4 )
Here,
x = 4
y = - 4
y ≠ - x
How to find the discount
On which interval is y = sin(x) strictly increasing?
Answer: D
Step-by-step explanation:
Got it right on EDG 2020
PLEASE HELP!! SHOW STEPS FOR BRAINLIEST! Pythagorean theorem BASED question:
An artist joined three square regions at their
vertices to create the figure shown in the diagram.
The artist will use small congruent square tiles to
cover each region without any gaps or overlaps.
Based on the information, which statement is true?
A. The number of tiles needed to cover Region X
is the same as the number of tiles needed to
cover both Region Y and Region Z.
B. The number of tiles needed to cover Region Y
is the same as the number of tiles needed to
cover both Region X and Region Z.
C. The number of tiles needed to cover Region Z
is the same as the number of tiles needed to
cover both Region X and Region Y.
D. None of these
This is a classic proof of the Pythagorean Theorem!
Pythagorean theorem is a^2 + b^2 = c^2. With a square, its area is its side length squared. Therefore, if we think about this as squares, then the sum of the area of square X and square Y will be equal to the sum of square Z.
Looking at your answer choices, the best option is C - The number of tiles needed to cover Region Z is the same number of tiles needed to cover both Region X and Region Y.
Hope this helps!! :)
What is the value of x? Responses 3 12 6√2 6
Applying the sine ratio, the value of x is calculated as: x = 6.
How to Find the Value of x Using the Sine Ratio?The sine ratio is part of the trigonometric ratios that is used to solve a right triangle, which is expressed as:
sin ∅ = opposite side length / hypotenuse length
Given the following:
Reference angle (∅) = 45°Opposite length = 6√2Hypotenuse length = xApply the sine ratio to find the value of x:
sin 45 = 6√2/x
Multiply both sides by x
sin 45 × x = 6√2
Divide both sides by sin 45:
sin 45 × x / sin 45 = 6√2/sin 45
x = 6√2 / √2/2
x = 6√2 × 2/√2
x = 12/2
x = 6
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Find the sum of all the numbers between 100 and 200 which are divisible by 7.
Answer:
2107
Step-by-step explanation:
In this type of question we have to follow these steps
1) Find the biggest number in interval which is divisible by seven
For this question it is 196
2)Find the smallest number in interval which is divisible by seven
For this question it is 105
3) Then subtract 105 from 196
196-105=91
4) Divide 91 by seven
91:7=13
5)Lastly we have to add 1 to the 13
13+1=14
So we found that we have 14 different numbers that divisible by seven in this interval. So next steps will be about sum of them
To find them sum we have a formula:
(biggest number + smaller number) x number of terms / 2
(196+105) x 14 /2 = 2107
help xxx
23421 x 230 = ? im not allowed to use a calc on this
Answer:
5,386,830
Step-by-step explanation:
completely factor x2-x-56
The answer is A.) (x-8)(x+7)
If you expand the equation (x-8)(x+7), you'd get \(x^2-x-56\)
Hope this helped!
Answer:
(x - 8) (x + 7)
Step-by-step explanation:
Factorize x^2 - x - 56 by splitting the middle term.
x^2 - x - 56
x^2 - 8x + 7x - 56
x * (x - 8) + 7 (x - 8)
(x + 7) (x - 8)
Quadrilateral ABCD is inscribed in a circle. If angle B measures 24°, what is the measure of angle D?
Answer: 156!
Step-by-step explanation: i’m not going to lie, i guessed but, i ended up getting it right .
What is the forecast for May using a five-month moving average?(Round answer to the nearest whole number.) Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47
A. 43 B. 47 C. 52 D. 38 E. 39
The forecast for May using a five-month moving average is 39 (Option E).
Moving average is used for smoothing out time series data to find any trends or cycles within the data. A five-month moving average is the average of the past five months. To calculate the moving average, add up the sales for the previous five months and divide it by five.
According to the question, the sales for the previous five months are: Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47
We have to add the sales of these five months, which gives:
27 + 40 + 42 + 41 + 47 = 197
To find the moving average for May, we divide this sum by 5:
197 / 5 = 39.4
Since we have to round the answer to the nearest whole number, we round 39.4 to 39, which is option E.
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What is the answer
(x+8)+4x=(7x-16)
\((x+8)+4x = 7x -16\\\\\implies 5x +8 = 7x -16\\\\\implies 7x -5x = 8+16 \\\\\implies 2x = 24\\\\\implies x = \dfrac{24}2\\\\\implies x= 12\)
Find the area under the standard normal curve to the left of z=2.06. round your answer to four decimal places.
The area under the standard normal curve to the left of z = 2.06 is approximately 0.9803.
The normal distribution function, also known as the Gaussian distribution or bell curve, is a probability distribution that is symmetric, bell-shaped, and continuous. It is defined by two parameters: the mean (μ) and the standard deviation (σ).
The normal distribution is widely used in statistics and probability theory due to its many desirable properties and its applicability to various natural phenomena. It serves as a fundamental distribution for many statistical methods, hypothesis testing, confidence intervals, and modeling real-world phenomena.
To find the area under the standard normal curve to the left of z = 2.06, you can use a standard normal distribution table or a calculator with a normal distribution function. The standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1.
Using a standard normal distribution table, the area to the left of z = 2.06 can be found by looking up the corresponding value in the table. However, since the standard normal distribution table typically provides values for z-scores up to 3.49, we can approximate the area using the available values.
The closest value in the standard normal distribution table to 2.06 is 2.05. The corresponding area to the left of z = 2.05 is 0.9798. This means that approximately 97.98% of the area under the standard normal curve lies to the left of z = 2.05.
Since z = 2.06 is slightly larger than 2.05, the area to the left of z = 2.06 will be slightly larger than 0.9798.
Therefore, rounding the answer to four decimal places, the area under the standard normal curve to the left of z = 2.06 is approximately 0.9803.
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76+-90-(-48)
Help!!!!!!!!!!!!!!!! Pls
Answer:
Answer
If we add 76+(-90)-(-48)=34
87789-8977609-78860=
Answer:
-8968680
Step-by-step explanation:
If this is what your looking for if not sorryyyy
87789-8977609-78860 all you have to do is use a calculator(if you can) or do it the old school way. First, what I did was subtract the first two numbers 87789 and 8977609 to get -8889820 and then subtracted 78860 from that to get a total of -8968680.
The perimeter of a fence must be no larger than 500 feet in length. The longer side of the fence must be 10 feet more than twice the length of the shorter side. Write and solve and inequality to determine the maximum length of the shorter side of the fence.
Answer:
The shortest side of the fence can have a maximum length of 80 feet
Step-by-step explanation:
Inequalities
To solve the problem, we use the following variables:
x=length of the longer side
y=length of the sorter side
The perimeter of a rectangle is calculated as:
P = 2x + 2y
The perimeter of the fence must be no larger than 500 feet. This condition can be written as:
\(2x + 2y \le 500\)
The second condition states the longer side of the fence must be 10 feet more than twice the length of the shorter side.
This can be expressed as:
x = 10 + 2y
Substituting into the inequality:
\(2(10 + 2y) + 2y \le 500\)
This is the inequality needed to determine the maximum length of the shorter side of the fence.
Operating:
\(20 + 4y + 2y \le 500\)
Simplifying:
\(20 + 6y \le 500\)
Subtracting 20:
\(6y \le 500 - 20\)
\(6y \le 480\)
Solving:
\(y \le 480 / 6\)
\(y \le 80\)
The shortest side of the fence can have a maximum length of 80 feet
PLEASE HELP ME !
Determine the range of the inequality 4x2 + 3x - 10
Answer:
-22
Step-by-step explanation:
type it in google
Marjane wants to create a set of data with 6 values. She wants the mode to be as good as the median to represent the data set. Which set of data best represents what Marjane could create?
24, 24, 25, 29, 29, 29
24, 25, 26, 27, 30, 30
24, 25, 25, 25, 26, 26
24, 24, 25, 26, 26, 27
As per the median, the set of data that fulfilling Marjane's requirement is 24, 25, 25, 25, 26, 26 (option c).
In statistics, data is a collection of numbers or values that represent a particular phenomenon. One way to measure central tendency, or the typical or representative value of the data, is through the median and the mode.
The median is the middle value when the data is arranged in numerical order, and the mode is the value that appears most frequently.
The third set of data is 24, 25, 25, 25, 26, 26.
The median is the middle value, which is also (25+25)/2 = 25.
The mode is the value that appears most frequently, which is 25.
Therefore, the mode and median are the same, fulfilling Marjane's requirement.
Therefore, the correct option is (c).
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help asap if you can pls an thank u!!!!!!!
The value of angle S is 53°
What is exterior angle theorem?Exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of two remote interior angles.
With this theorem we can say that
7x+2 = 4x+13+19
collecting like terms
7x -4x = 13+19-2
3x = 30
divide both sides by 3
x = 30/3
x = 10
Since x = 10
angle S = 4x+13
angle S = 4(10) +13
= 40+13
= 53°
Therefore the measure of angle S is 53°
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The correlation coefficient between class attendance and number of problems missed on an exam is –0.77. Which statement regarding this finding is correct?
Answer: If a student attend class regularly then he is more likely to do well on the exam than someone who does not attend class regularly.
Step-by-step explanation:
Given: The correlation coefficient between class attendance and number of problems missed on an exam is –0.77.
When correlation coefficient is negative it means negatively correlation.
i.e. If independent variable increases dependent variable decreases or vice-versa
Also, its absolute value is larger than 0.7 it means it indicates a strong correlation.
VariablesIndependent: class attendance
Dependent: problems missed on an exam
So by correlation coefficient , correct interpretation would be:
Student with high class attendance is less likely to miss problem on an exam.
i.e. If a student attend class regularly then he is more likely to do well on the exam than someone who does not attend class regularly.
Ana tried to prove that an exterior triangle angle measure equals the sum of the measures of the two
interior angles not adjacent to it.
The first mistake of Ana is sum of interior is 180° that is given by the definition. Then the correct option is A.
The statements, reasons, and options are attached below.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
Linear angle – If the total of two angles is 180 degrees, they are said to be linear angles.
Ana tried to prove that an exterior triangle angle measure equals the sum of the measures of the two interior angles not adjacent to it.
∠1 + ∠2 + ∠3 = 180° (By definition of triangle)
∠3 + ∠4 = 180° (By definition of linear angle)
∠1 + ∠2 + ∠3 = ∠3 + ∠4 (Substitution)
∠1 + ∠2 = ∠4 (Subtraction on both side by ∠3)
The first mistake of Ana is sum of interior is 180° that is given by the definition.
Then the correct option is A.
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Answer:
Its A
Step-by-step explanation:
did it on khan