The sum of numbers at B, C, D, E and F is 110.5
Since B, C, D, E, and F divide the segment AG into 6 equal pieces, each piece has a length of (59-13)/6 = 6.5.
Therefore, the numbers at B, C, D, E, and F are located at 13 + 6.5, 13 + 6.52, 13 + 6.53, 13 + 6.54, and 13 + 6.55 respectively.
The sum of the numbers at B, C, D, E and F is (13 + 6.5) + (13 + 6.52) + (13 + 6.53) + (13 + 6.54) + (13 + 6.55)
= 13 + 6.5*(1+2+3+4+5) = 13 + 6.5*15 = 13 + 97.5
= 110.5
In Maths, number lines are the horizontal straight lines in which the integers are placed in equal intervals. All the numbers in a sequence can be represented in a number line. This line extends indefinitely at both ends.
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some identical glasses are stacked on top of each other. a stack with eight glasses is 42 cm high. a stack with two glasses is 18 cm high. how high is a stack with six glasses?
the height of six glasses (24 / 6 = 4). Finally, we can multiply this by six to get the final answer, which is 30 cm.
30 cm
For two glasses, the height is 18 cm.
For eight glasses, the height is 42 cm.
Therefore, for six glasses, the height would be (42 - 18) / (8 - 2) * 6 = 30 cm.
To answer the question, we need to first determine the height of two glasses, which is 18 cm. Next, we need to find the height of eight glasses, which is 42 cm. Once we have these two values, we can calculate the height of six glasses. We can do this by finding the difference between the two heights (42 - 18 = 24), which will give us the height of six glasses (24 / 6 = 4). Finally, we can multiply this by six to get the final answer, which is 30 cm.
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(6-squarre root 8)^2
Answer:
(6-squarre root 8)^2 = 10.058874
Evaluate 4-0.25g+0.5h when g=10=5
Answer:
4
Step-by-step explanation:
First, substitute in g and h:
4-(0.25x10)+(0.5x5)
4-2.5+2.5
Then -2.5 and +2.5 cancel out, so you are left with:
4
Use a suitable identity to get each of the following products.
(6x+ 5y)2
According to algebra, the square binomial (6 · x + 5 · y)² has the following equivalent expression: 36 · x² + 60 · x · y + 25 · y².
How to find an equivalent expression for a square binomial
According to algebra, we find the case a square binomial, whose equivalent form is shown below by following rule:
(a + b)² = a² + 2 · a · b + b²
Where a, b are real coefficients.
If we know that a = 6 · x and b = 5 · y, then the equivalent form of the square binomial is:
First, write the entire expression:
(6 · x + 5 · y)²
Second, use power properties:
(6 · x)² + 2 · (6 · x) · (5 · y) + (5 · y)²
Third, perform associative and commutative properties:
6² · x² + (2 · 6 · 5) · (x · y) + 5² · y²
Fourth, multiply similar terms:
36 · x² + 60 · x · y + 25 · y²
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PLEASE HELP MEEEEEEEE!!!!!!!!!
Answer:
70⁰ is the correct answer.
Aubrey is older than Chase. Their ages are consecutive integers. Find Aubrey's age if the product of their ages is 56.
If vec SD - vec SE - vec SG . and if m angle DSE=5x-4; m angle E5G=3x+4 and m angle DSG=72 find m angle DSE .
If vec SD, vec SE, and vec SG and if m angle DSE = 5x – 4, m angle E5G = 3x + 4, and m angle DSG = 72, m angle DSE = 90.
What are the angle called in math?Two straight lines or rays intersect at a same terminus to make an angle. The vertex of an angle is the point at which all points meet. Two rays (half-lines) combined into an angle have a single terminal. The latter is known as the vertex of the angle, while the rays are known as its sides, occasionally as its legs, and occasionally as its arms.
An angle is a figure created by two rays or lines that have the same termination in plane geometry. The Latin word "angulus," which meaning "corner," is where the term "angle" originates. The common terminal of the two rays—known as the vertex—is referred to as an angle's sides.
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I need help with this question
what is the answer for this-order of operation?
Answer:
Step-by-step explanation:
always follow BODMAS or BIDMAS-
Do the multiplication, which is 15/3 and when simplifiyed becomes 5.
Then work out 6 divided by 3/2. In division for fractions, you always find the reciprocal of the 2nd number and multiply instead of divide, so its 6 x 2/3 which is 12/3, simplifiyed to be 4. 5+4=9. 9+10 is 19, and 19-4=15
Stephen is making a map of his neighborhood. He knows the following information: His home, the bus stop, and the grocery store are all on the same street. His home, the park, and his friend's house are on the same street. A street map is shown. The streets form a triangle comprised of the locations of home, friends house, and the grocery store. The triangle is intersected by a line formed by the park and the bus stop. Stephen wants to use the Triangle Proportionality Theorem to determine the relationships on his map. He knows the angle between the park, the bus stop, and his home. Which other angle does he need to know
On solving the provided question we can say that in this triangle 6 blocks separate the bus stop from his house.
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon.
The graph of the provided data is included below. 10 blocks separate his residence from the park.
His friend's home is 15 blocks away from his home. 9 blocks separate the grocery shop from his home.
The sides are in proportions according to Side-Angle-Side Similarity. Consequently, we calculate a ratio using the corresponding triangles.
= distance from home to friend's home / distance from home to park
= distance from home to grocery / distance from to bus stop
= 15/10 = 9/x
x = 6
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Answer:
His friend's house, grocery store, and his home
Step-by-step explanation:
Had this question on a test and got it right.
60% of ms. howard's class ordered a hot lunch from the cafeteria. if 15 students ordered a hot lunch, how many students are in ms. howard's class?
Based on the number of 60% students, the total number of students in Ms. Howard's class are 25.
Let the total number of students be x. Based on the mentioned information, we can say that 60% of total number of students ordering a hot lunch are 15. Rewriting the mentioned information as equation -
60% × x = 15
60/100 × x = 15
x = 15 × 100/60
Performing multiplication on Right Hand Side of the equation
x = 1500/60
Cancelling zero and performing division on Right Hand Side of the equation
x = 25
Therefore, there are 25 students in the class.
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John was 5 years old when his pet dog, Spot, was born.
Write an equation to show the relationship between John’s age (x) and his dog, Spot’s, age (y). (Do not include any spaces in your answer)
Answer:
Step-by-step explanation:
Answer:
5x = y
10x= 5y
20x= 15y
50x= 45y
2y - 6 + 4 (y -2) simplify the expression need help asap
Answer:
6y - 14
Step-by-step explanation:
simplify the expression
2y - 6 + 4 (y -2)
Distribute the 4 to each term in the parentheses.
2y - 6 + 4y -8
Combine like terms
2y+4y-6-8
6y - 14
Answer:
[tex] \sf \: 6y - 14 [/tex]
Step-by-step explanation:
Given expression,
→ 2y - 6 + 4(y - 2)
Let's simplify the expression,
→ 2y - 6 + 4(y - 2)
→ 2y - 6 + 4(y) - 4(2)
→ 2y - 6 + 4y - 8
→ (2y + 4y) + (-6 - 8)
→ (6y) + (-14)
→ 6y - 14
Hence, the answer is 6y - 14.
a student added all her grades together and then divided by the total points possible to figure out her grade, as her instructor had said to do, and the result was 0.83. what percent of the possible points does she have?
The possible percentage of the marks the students will have is (D) 83%.
What is the percentage?A percentage, often known as percent, is a division by 100.
Percentage, which means "per 100," designates a portion of a total sum.
45 out of 100 is represented by 45%, for instance.
Finding the percentage of a whole in terms of 100 is what percentage calculation is.
Both manual calculation and the use of internet calculators are options.
So, we know that:
When we find the percentage, after division, we multiply the answer by 100 to get the answer in percentage.
Similarly,
0.83 * 100 = 83%
Therefore, the possible percentage of the marks the students will have is (D) 83%.
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Complete question:
A student added all her grades together and then divided by the total points possible to figure out her grade, as her instructor had said to do, and the result was 0.83. What percent of the possible points does she have?
a) 8.3%
b) 0.83%
c) Can't tell, but she has 83 total points.
d) 83%
The person is around 2 meters tall and the street light is only 8 meters above the ground. The rate at which the person is walking is 4/3
Step-by-step explanation:
We find the answer by using the equation ds/dt which equals to 4/9.
s represents the length of the shadow while x represents distant of shadow from the street light.
Hence we get x/6 = s/2 so dx/dt putting the values we get 6ds/2dt and the answer is 4/3
By applying the first derivative of distance with respect to time, it can be concluded that the person is walking 4/3 meters per second.
Instantaneous velocity or rate is the first derivative of distance with respect to time. Mathematically it is written v = ds/dt, where v is the velocity, s is the distance and t is the time.
First, we make a simple drawing using the given information:
The walking person = 2 meters tall
The street light = 8 meters above the ground
The walking rate is constant
The person's shadow lengthening rate = 4/9 meter per second = dy/dt
We want to know the walking rate, dx/dt.
We determine the value of y:
8 / 2 = (x + y) / y
8y = 2x + 2y
6y = 2x
y = x / 3
Then we substitute the value of y into the equation:
dy/dx = d(x/3) / dx
= 1/3
Finally, we can get the rate dx/dt:
dx/dt = dy/dt * dx/dy
= 4/9 * 3
= 4/3
Thus, it can be concluded that the person is walking 4/3 meters per second.
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The distribution of prices for a certain car model is approximately normal with mean $21,800 and standarddeviation $400. A random sample of 4 cars of the model will be selected.What is the correct unit of measure for the mean of the sampling distribution of I?A DollarsB) ModelsCarsD) Samples
The correct unit of measure for the mean of the sampling distribution of I is A. Dollars.
The original distribution of prices for the car model is given in dollars, and the mean of the sampling distribution represents the average price of a random sample of 4 cars from that distribution. Hence, the correct unit of measure should be in dollars also.
In statistics, the mean is a measure of central tendency that represents the average value of a dataset. It is calculated by adding up all the values in a dataset and dividing by the number of observations. The formula for the mean of a dataset is:
mean = (sum of observations) / (number of observations)
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the difference between two perfect squares is 133. what is the smallest possible sum of the two perfect squares?
The smallest possible sum of the two perfect squares is 205.
Now, According to the question:
The data is given as:
The difference between two perfect squares is 133.
Let the 'x' and 'y' be the difference between two perfect squares.
Now,
The difference between two perfect squares is 133.
[tex]x^{2} -y^2=133[/tex]
[tex]-y^2=-x^2+133[/tex]
[tex]y^2=x^{2} -133[/tex]
[tex]y = \sqrt{x^2-133}[/tex]
First integer solution to this equation
x=13, y=6
Sum = [tex]13^2 + 6^2 = 205[/tex]
Hence, The smallest possible sum of the two perfect squares is 205
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math i need help with this qustion
The value of x is x = 25 and the measure of angle ∠2 = 60°
What are Parallel Lines Cut by Transversal?Straight, equally spaced lines that never cross each other and are on the same plane are called parallel lines. The angles that are created when any two parallel lines are intersected by a line (referred to as the transversal) have a relationship. Corresponding angles, Alternate Interior Angles, Alternate Exterior Angles, and Consecutive Interior Angles are some of the several pairs of angles that are created at this intersection.
Corresponding angles
When two parallel lines are intersected by a transversal, the corresponding angles have the same relative position
Alternate Interior Angles
Alternate interior angles are formed on the inside of two parallel lines which are intersected by a transversal.
Alternate Exterior Angles
The pairs of angles formed on either side of a transversal that divides two parallel lines are known as alternate exterior angles.
Consecutive Interior Angles
When two parallel lines are cut by a transversal, the pairs of angles formed on the inside of one side of the transversal are called consecutive interior angles or co-interior angles.
Given data ,
Let the transversal line be represented as t
Now , the measure of angles on a straight line = 180°
So , the measure of angle 1 + angle 2 = 180°
The measure of angle 1 = 5x - 5
The measure of angle 2 = 2x + 10
Substituting the values in the equation , we get
5x - 5 + 2x + 10 = 180°
7x + 5 = 180
Subtracting 5 on both sides of the equation , we get
7x = 175
Divide by 7 on both sides of the equation , we get
x = 25
Substitute the value of x in measure of angle 2 , we get
The measure of angle 2 = 2x + 10
The measure of angle 2 = 2 ( 25 ) + 10
The measure of angle 2 = 50 + 10
The measure of angle 2 = 60°
Hence , the measure of angle 2 is 60°
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Detroit, Michigan, like a number of large cities, is losing population every year. Below is a table showing the population of Detroit each decade.
Year 1960 1970 1980 1990 2000
Population (millions) 1.67 1.51 1.20 1.03 0.95
a. Find an equation for the regression line.
b. Find the correlation coefficient and explain the meaning of its sign.
c. Estimate the population of Detroit in 2008
please show all work
The equation for regression line is ŷ = -0.0192X + 39.288,
The correlation coefficient is -0.9817,
The population of Detroit in 2008 is 0.73 millions.
What is a regression line?A line that, using the bivariate data gathered, summarises the linear relationship (or linear trend) between the two variables in a linear regression study.
An estimate of the line that depicts the actual, but the unidentified, linear relationship between the two variables is called a regression line. When the value of the explanatory variable is known, the regression line's equation is used to predict (or estimate) the value of the response variable.
Given table showing the population of Detroit each decade.
year 1960 1970 1980 1990 2000
Population (millions) 1.67 1.51 1.20 1.03 0.95
A. equation for regression line,
X - Mx Y - My (X - Mx)² (X - Mx)² (X - Mx)(Y - My)
-20 -20 400 0.158 -7.96
-10 -10 100 0.057 -2.38
0 0 0 0.005 0
10 10 100 0.059 -2.42
20 20 400 0.104 -6.44
Sum: 1000.00 Sum: 0.382 Sum: -19.200
Sum of X = 9900
Sum of Y = 6.36 millions
Mean X = 1980
Mean Y = 1.272
Sum of squares (SSX) = 1000
Sum of products (SP) = -19.2
Regression Equation = ŷ = bX + a
b = SP/SSX = -19.2/1000 = -0.0192
a = MY - bMX = 1.27 - (-0.02*1980) = 39.288
ŷ = -0.0192X + 39.288
B. correlation coefficient,
X Values
∑ = 9900
Mean = 1980
∑(X - Mx)² = SSx = 1000
Y Values
∑ = 6.36
Mean = 1.272
∑(Y - My)² = SSy = 0.382
X and Y Combined
N = 5
∑(X - Mx)(Y - My) = -19.2
r Calculation
r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))
r = -19.2 /√((1000)(0.382)) = -0.9817
Meta Numerics
r = -0.9817
The value of R is -0.9817.
High X variable scores correlate negatively with low Y variable scores because of this strong negative connection (and vice versa).
C. population in 2008
y = -0.0192X + 39.288
substitute x = 2008
y = -0.0192(2008) + 39.288
y = 0.7344
population in 2008 is 0.73 millons.
Hence the equation is ŷ = -0.0192X + 39.288,
the correlation coefficient is r = -0.9817
and population of Detroit in 2008 is 0.73 millions.
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in which month is the probability for an aircraft to experience crosswinds upon takeoff or landing greatest?
The probability for an aircraft to experience crosswinds upon takeoff or landing is generally greatest during the months of spring and fall, specifically in March, April, September and October.
During these months, the transition from winter to summer or summer to winter can lead to greater temperature and pressure differences between the air masses, which can create stronger winds. Additionally, these seasons are also associated with increased storm activity, which can also lead to stronger winds.
However, the probability of experiencing crosswinds upon takeoff or landing can also be affected by regional weather patterns and location, and it's always best to consult with local weather forecast and airport meteorological services before planning any flight.
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for items 22-24, refer to the graph represents the santos family income and the corresponding monthly budget. the income is Php50,000.
The amount the family spend on items other than food and housing is PhP25000 over the time.
How to determine the amount spend?You should understand that budget involves the summary of income and expenditure of a person or individual over a period of time
If total expense is $50,000 and the spend 20% on food 30% on housing
Which make is 50% on both hosing and food leaving 50% on other expenses
Which makes half of the total budget
You have to work out 50% of 50000 to get
50/100* $50000 =PhP25000
This therefore means that the family spends PhP25,000 on items other than food and housing
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Complete question
The circle graph represents a family's monthly budget. If the total monthly budget is $50,000,
how much does the family spend on items other than food and housing?
What is formula Work Class 9?
The formula for work is force multiplied by displacement.
Work done refers to the amount of energy used by a force to move an object. It is also a physical quantity. Its SI unit is Joule. Every time a force is applied to an object and it moves from one location to another, work has been done. The displacement is what needs to be taken into account and not the distance. Displacement is the smallest distance or straight line that connects the object's initial and final positions. Work is therefore equivalent to force times its displacement. Force is measured in newtons, and the displacement is measured in meters. Therefore, if a force of 1N is used to move a body by a displacement of 1m, then 1J of work has been completed.
[tex]W=F.S[/tex]
[tex]1J=1m.1N[/tex]
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Are absolute value graphs even or odd?
An absolute value is defined as , | y | = | − y | for all y , we can thus say that their absolute value is even.
The definition of h in the equation is given as given next , | f (x) | = h (x). The logic when checking for an equation to be even or odd is defined as , if g (x) is an even function whereas f (x) is an odd function , then the value of g (f (x)) is even and f (g (x)) will also be even.
A function is known as an odd function is that ,
f(x) = f(−x) for all the value of x
A function is known as an even function is that ,
f(x) = f(−x) for all x
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A rectangle ha a perimeter of 42 centimeter. What are whole number dimenion of the rectangle with thi perimeter that would have the mallet area?
The perimeter of a rectangle is the total distance covered by its boundaries or the sides. Since there are four sides of a rectangle, thus, the perimeter of the rectangle will be the sum of all four sides. Since the perimeter is a linear measure, therefore, the unit of the perimeter of rectangle will be in meters, centimeters, inches, feet, etc.
Perimeter of rectangle = 42 cm.
2 × (l + b) = 42
l + b = 21
So l + b = 2 + 19 ; 3+ 18; 4+17; 5+16; 6+ 15 ; 7+14 ; 8+13 ; 9+12; 10 +11:
Area for l × b = 2× 19= 38 sq.cm
Area for second case = 3* 18=54sq.cm
Area for third case = 4* 17=68sq.cm
Area for fourth case = 5* 16=80sq.cm
Area for fifth case = 6* 15=90sq.cm
Area for sixth case =7* 14=98sq.cm
Area for seventh case =8* 13=104sq.cm
Area for eighth case =9* 12=108sq.cm
Area for ninth case =10* 11=110sq.cm
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[tex]25 \div 2 [/tex]
How to solve this?
Answer:
25÷2=12.5
Step-by-step explanation:
you put the 25 inn the division box and the 2 on the outside and 12.5 is your answer
Answer: 12.5
How do you solve the given equation?[tex]\frac{25}{2} =12.5[/tex]
[tex]\frac{5^{2}}{2} = 12 \frac{1}{2} = 12.5[/tex]
a random sample of 100 magazine subscribers finds that 38 do not read the magazine they subscribe to. we would like to construct a 99% confidence interval for the true proportion of all magazine subscribers who do not read the magazine they subscribe to. random condition: 10% condition: large counts condition: are the conditions for inference met?
All of the conditions for inference are met, so it is appropriate to construct a 99% confidence interval for the true proportion of all magazine subscribers who do not read the magazine they subscribe to.
Random sample: The sample of 100 magazine subscribers was selected randomly, so this condition is met.
10% condition: The sample size is 100, which is less than 10% of the population of all magazine subscribers, so this condition is met.
Large counts condition: To check the large counts condition, we need to calculate the expected number of subscribers who do not read the magazine they subscribe to, which is n × p = 100 × 0.38 = 38. Since this number is greater than 5, the large counts condition is met.
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Answer:
Random condition:
✔ met
10% condition:
✔ met
Large counts condition:
✔ met
Are the conditions for inference met?
✔ yes
I need help very fast
Find Least common multiple of
1-x^2 and (x-1)^3
Answer:
(x-1)^3.
Step-by-step explanation:
To find the least common multiple (LCM) of two polynomials, you can factor them and take the highest exponent of each variable that appears. In this case, the LCM is (x-1)^3 because it has the highest exponent of x that appears in both polynomials. It also contains all the other terms of both polynomials.
Divide $3300 into three parts with the ratio of 1:3:7
PLEASE ANSWER QUICKLy!!!!!!
Answer:
Step-by-step explanation:
So you add 1+3+7 which gives you 11
And the you divide 3300 by 11 which gives you 300 and from that you do:
1 x 300= 300
3 x 300= 900
7 x 300= 2100
And there you have it in the ratio of 1:3:7
300:900:2100
And to simplify it you find a number which you can divide them all from in this case is 100 and so:
300÷100=3
900÷100=9
2100÷100=21
3:9:21
Hope that helped.
sin 0 + cos 0 = 1is a foundational trigonometric identity. %3! If you divide through by ISelect) , then 1+ cot² 0 = csc² 0 will be created. If you divide through by ISelect] . then tan? 0+1 = sec² ) will be created.
These identities are not true and cannot be derived from the first identity.
What is trignomentry ?
Trigonometry is a branch of mathematics that deals with the relationships between the angles and sides of triangles, particularly right triangles. It is used to study the properties of angles and circles, and to solve problems involving geometric shapes and measurements. Trigonometry is used in many fields such as physics, engineering, and navigation.
The statement "sin 0 + cos 0 = 1" is a correct foundational trigonometric identity. However, it is not possible to derive the identities "1+cot^2(0) = csc^2(0)" or "tan^2(0)+1 = sec^2(0)" by dividing through by cot^2(0) or by tan^2(0) respectively. These identities are not true, and are not a direct consequence of the first identity.
These identities are not true and cannot be derived from the first identity.
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how do you solve this?
Answer:
i have no clue big dawg you gonna have to cheat somewhere else
