6) Rewrite each number sentence using numerals and symbols.
Find the quotient of 4 less than 15 divided by 3
Answers
Answer:
(4-15)/3=3+(2/3)= 3.67
Step-by-step explanation:
Related Questions
According to the World Alamanac of 2005, Muhammed emerged as a prophet in 610
A. D. Which is a close estimate to about how many years have elapsed since then?
A. 23 centuries
B. 14 centuries
C. 13 centuries
D. 12 centuries
Answers
These shapes are similar.
Find X.
5
X
5
30
24
30
Answers
The value of x is 4.
To determine the value of x, we can use the concept of similarity between shapes.
Similar shapes have corresponding sides that are proportional to each other.
Given the dimensions of the first shape as 5, x, and 5, and the dimensions of the second shape as 30, 24, and 30, we can set up the following proportion:
5/x = 30/24
To solve for x, we can cross-multiply:
30 · x = 5 · 24
30x = 120
Dividing both sides of the equation by 30:
x = 120 / 30
x = 4
Therefore, the value of x is 4.
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2x – 3y = 10
1-5x + 8y = –26
([?], [ ]
Answers
Explanation
Explain to
Explanation
Billy took 5 tests in his math class. He scored an 89,88,93,90 and 81. What is the variance of his grades in these test? If necessary, round to the nearest hundredth.
Answers
The variance of Billy's grades obtained from his test scores is 15.76
What is variance?The variance is a measure of variability or spread a dataset. The variance can be calculated from the sum of the square of the differences of the data points from the mean divided by the number or count of the data points.
The variance of Billy's test scores can be calculated by finding the mean or the average of the scores, then finding the sum of the squares of the differences of each score from the mean as follows;
The mean score = (89 + 88 + 93 + 90 + 81)/5 = 88.2
The square of the differences of the values from the mean can be calculated as follows;
(89 - 88.2)² = 0.64, (88 - 88.2)² = 0.04, (93 - 88.2)² = 23.04, (90 - 88.2)² = 3.24, and (81 - 88.2)² = 51.84
The sum of the square of the differences is therefore;
0.64 + 0.04 + 23.04 + 3.24 + 51.84 = 78.8
The variance is therefore; 78.8/5 = 15.76Learn more on the variance of a set of data here: https://brainly.com/question/30701163
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Someone please help answer !
Choose the number that is closest to the mean of the distribution
Answers
The mean of the distribution is 3
What is arithmetic mean?Arithmetic mean is defined as the ratio of the sum of observations to the total number of observations. It can be referred to as the average of a specific set of data or the arithmetic mean. One of the basic methods used to acquire a result, the term "Mean" is commonly used in the field of statistics.
The formula for the mean of a given set of data is as follows:
Mean = Sum of Observations/Total number of observations
According to the first graph,
Given the bar of observations as :
0, 5, 6, 3, 1, 1, 3, 6, 4, 1
Here the Sum of Observations = 30
And the total number of observations = 10
The mean of the distribution = 30/10
The mean of the distribution = 3
According to the second graph,
Given the bar of observations as :
0, 1, 3, 3, 9, 0, 9, 4, 4, 1
Here the Sum of Observations = 34
And the total number of observations = 10
The mean of the distribution = 34/10
The mean of the distribution = 3.4
The mean of the distribution = 4 (closest)
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A fire hydrant with a blue cap provides water at a rate of 1,500 gallons per minute. A fire hydrant with a green cap provides water at a rate of 1,000 gallons per minute. A fire hydrant with a purple cap provides water at half the rate of a fire hydrant with a green cap.
Part A
Which equation relates the flow of water from the blue hydrant, b, to the flow from the green hydrant, g.
A. b = 13g
B. b = 12g
C. b = 23g
D. b = 32g
Part B
Which equation relates the flow of water from the purple hydrant, p, to the flow from the blue hydrant, b.
A. p = 13b
B. p = 12b
C. p = 23b
D. p = 34b
Answers
Answer:
Part A = B.
Part B = A.
Step-by-step explanation:
Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options.
x2 + (y – 3)2 = 36
x2 + (y – 5)2 = 6
(x – 4)² + y² = 36
(x + 6)² + y² = 144
x2 + (y + 8)2 = 36
Answers
The equations of the circles in standard form whose centers lie on the y-axis are:
x² + (y - 3)² = 36 x² + (y + 8)² = 36What equations does represent a circle with a diameter of 12 units and has a center lying on the y-axis?
In this problem we need to find equations of the circle in standard form, whose center lies on the y-axis. These equations have the following form:
x² + (y - k)² = r²
Where:
k - y-Coordinate of the center.r - Radius of the circle.Please notice that the diameter is twice the radius of the circle.
By direct inspection we find the following two equations that satisfies all the features:
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An engineer is designing a new smartphone. The company wants to keep of the weight finished product below 12 ounces. After finishing his design, he realizes he forgot to include eight 1/6 oz screws. If the weight before adding the screws is 10 1/2 oz, will the design be within the desired weight limit? Explain.
Answers
9514 1404 393
Answer:
yes
Step-by-step explanation:
10 1/2 + 8×(1/6) = (10 3/6) + (1 2/6) = 11 5/6 < 12
The weight with the added screws is still below 12 ounces.
Answer:
we have
10 1/2 + 8×(1/6) = (10 3/6) + (1 2/6) = 11 5/6 <12
The weight with the added screws is still below 12 ounces.
yes the design be within the desired weight limit
Which of the following will form the composite function G(F(x)) shown
below?
G(F(x)) = (x-7)2 + (x-7)-1
A. F(x)=(x-7)2 and G(x)=(x-7)-1
B. F(x)=x²+x-1 and G(x) = x-7
C. F(x)=(x-7)-1 and G(x)=(x-7)²
D. F(x)= x-7 and G(x)=x²+x-1
SUBMIT
Answers
Answer:
The answer is D.
Step-by-step explanation:
Solve for w.
w^2-4w+4=0
Answers
explanation: when substituting it in for w it looks like this: 2^2-4(2)+4=0
4-8+4=0
0=0
Question 20 (5 points)
In a jet engine, what purpose does the afterburner serve?
A,) It reheats the gas from the fuel and releases it more rapidly.
B.) It burns fuel once the plane reaches its maximum altitude.
C.) After the plane lands, it burns off excess fuel that wasn't used in flight.
D.) It provides a way to slow the plane down by cooling the exhaust gas.
Answers
It reheats the gas from the fuel and releases it more rapidly.
The answer is option A.
How long can a jet fly on an afterburner?In full afterburner at low altitudes, the F-16 can burn in excess of 64,000 pounds an hour. At full throttle, a U.S.-variant F-16 with maximum external fuel stores has about 20 minutes until it's on emergency reserves (which would only last an extra minute or so at full afterburner).
Does afterburner increase thermal efficiency?Since the exhaust gas already has a reduced oxygen content, owing to the previous combustion, and since the fuel is not burning in a highly compressed air column, the afterburner is generally inefficient in comparison to the main combustion process.
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please i’ll fail if i don’t get this right. please i’ll give brainlyist The current temperature of 15°F below zero is 18°F below the high temperature of the day. What is the high temperature for the
day?
OA. 5°F
ов. 33°F
OC. 3°F
OD. 33°F
Answers
Answer:
I think its C
Step-by-step explanation:
Which of the following systems of inequalities has point D as a solution?
Answers
Answer:
f(x) \(\leq\) 3x + 4
g(x) ≥ -1/2x - 5
Step-by-step explanation:
Point D is below f(x) and above g(x)
Helping in the name of Jesus.
Kelvin, Celsius, and Fahrenheit are three types of
scales.
Answers
Answer:
Temperature
Step-by-step explanation:
the internet does wonders
Kelvin, Celsius, and Fahrenheit are three types of scales used to measure temperature. They all are related with each other as they all measure same thing, which is 'temperature'.
How are Kelvin, Celsius, and Fahrenheit related?We have got an equation that can relate these three units of measurement of temperature, as given below:
\(\dfrac{C}{5} = \dfrac{F - 32}{9} = \dfrac{K - 273}{5}\)
where C represents the measurement of a fixed temperature in Celsius, F represents the measurement of that same intensity temperature in Fahrenheit, and K represents the measurement of equally intense temperature in Kelvin.
Thus, Kelvin, Celsius, and Fahrenheit are three types of scales used to measure temperature. They all are related with each other as they all measure same thing, which is 'temperature'.
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Find the area of the shape
Answers
Explanation: in photo below
Find a linear function h, given h(7
)equalsnegative 10
and h(negative 2
)equals8.
Then find h(3
)
Answers
The linear function of h is h(x) = -2x -13 and the values of h(3) = -19.
Two point form is a method for finding the equation of a function if two of its points are known. If (x1, y1) and (x2, y2) are the two points then equation of the function is given as-
(y - y1) = {(y1 - y2)/ (x1 - x2)} (x - x1)
Here, we are given that h(7) = -10 and h(-2) = 8
This, means that (7, -10) and (-2, 8) will satisfy the given function
Since, we have two points, we will use the two point form to find the equation of function h.
Substituting, x1 = 7, y1 = -10, x2 = -2 and y2 = 8 in the two point form equation we get-
( y - 7) = {(-10 - 8) / (7 + 2)} (x + 10)
y - 7 = (-18/9) (x + 10)
y - 7 = -2(x + 10)
y - 7 = -2x -20
y = -2x -20 + 7
y = -2x -13
Thus, h(x) = -2x -13
Hence, h(3) = -2(3) -13
= -6 -13
= -19
Therefore, h(3) = -19
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Tiana is looking up her county's census data for a school project. Her county conducts a census every decade. She finds that the population was about 641,000 the year she was born, and that it had decreased to about 634,590 a decade later. Tiana reads that the population of the county is expected to continue decreasing each decade.
Write an exponential equation in the form y=a(b)x that can model the county population, y, x decades after Tiana was born.
Use whole numbers, decimals, or simplified fractions for the values of a and b.
y =
How many decades after Tiana was born will the county population fall below 600,000?
decades
Answers
The exponential function that can model the county population, y, x decades after Tiana was born, is:
\(y = 641000(0.99)^x\)
The population will fall below 600,000 in 6.6 decades after Tiana was born.
What is an exponential function?The definition of the exponential function is presented as follows:
\(y = a(b)^x\)
In which the parameters of the exponential function are presented as follows:
a is the initial value.b is the rate of change.In the context of this problem, the values of these parameters are given as follows:
a = 641000, which is the initial population.b = 634590/641000 = 0.99.Hence the function is:
\(y = 641000(0.99)^x\)
The population will fall below 600,000 when y = 600000, hence:
\(y = 641000(0.99)^x\)
\(600000 = 641000(0.99)^x\)
\((0.99)^x = \frac{600000}{641000}\)
\(\log{(0.99)^x} = \log{\left(\frac{600000}{641000}\right)}\)
\(x\log{0.99} = \log{\left(\frac{600000}{641000}\right)}\)
\(x = \frac{\log{\left(\frac{600000}{641000}\right)}}{\log{0.99}}\)
x = 6.6 decades.
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0.12109375 fraction
Answers
Answer:
31/256
Step-by-step explanation:
0.12109375 = 12109375/100000000
= 31/256
Dividing numerator and denominator by 390625.. we have the simplest solution
You can start out by dividing by 5 the numerator and denominator.you would see this division by 5 goes on 8 times
Or you can start out dividing both numerator and denominator by 25, we see this division goes on 4 times
Answer:
Step-by-step explanation:
0.12109375
=\(=\frac{12109375}{100,000,000} \\=\frac{484375}{4,000,000} \\=\frac{19375}{160000} \\=\frac{775}{6400} \\=\frac{31}{256}\)
A sample of 311 people is selected. The people are classified according to place of residence ("urban", "suburban", or "rural"). They are also classified according to highest educational degree earned ("no college degree", "two-year degree", "four-year degree", or "advanced degree"). The results are given in the contingency table below. Urban Suburban Rural No college degree Two-year degree Four-year degree 34 42 22 35 21 22 16 34 16 Advanced degree 23 23 23 What is the relative frequency of people in the sample whose place of residence is suburban and whose highest degree is a two-year degree? Round your answer to two decimal places.
Answers
Answer: 0.07
Step-by-step explanation:
To find the relative frequency of people in the sample whose place of residence is suburban and whose highest degree is a two-year degree, we need to calculate the ratio of the number of people with those characteristics to the total sample size.
Looking at the contingency table, we can see that the number of people in the suburban category with a two-year degree is 21.
The total sample size is given as 311.
Therefore, the relative frequency can be calculated as:
Relative frequency = (Number of people in suburban category with two-year degree) / (Total sample size)
= 21 / 311
≈ 0.0676
Rounded to two decimal places, the relative frequency is approximately 0.07.
If 9% of a number is 75, find 3% of that number.
Delta math again.
Answers
Answer:
25
Step-by-step explanation:
\(0.09a=75\\a=\frac{75}{0.09} \\0.03*a=0.03*\frac{75}{0.09} =25\)
Imagine this:
The altitude of an airplane coming in for a landing is represented by the equation shown below, where y represents the altitude, in feet, of the
airplane and x represents the number of minutes the plane has been descending:
| = -5x + 150
Part C:
Which ordered pair (from the table in part A) represents the initial value? What does the initial value represent in this problem? (1-2 sentences)
Part D:
What is the rate of change in this equation? What does the rate of change represent in this problem? (1-2 sentences)
Answers
Part C: The ordered pair (0, 150) represents the initial value in the table. The initial value represents the altitude of the airplane when it started descending, i.e., the altitude of the airplane before it began its descent.
Part D: The rate of change in this equation is -5, which is the coefficient of x. The rate of change represents the decrease in altitude, in feet, per minute as the airplane descends for a landing. In other words, the altitude decreases by 5 feet for every minute that the airplane descends.
What does the symbol in the image on number 39 mean
Answers
Answer:
It means direct sum.
Step-by-step explanation:
¿Qué ecuación de suma se puede usar para
comprobar el resultado de 456-342 = 114?
Dibuja un diagrama de barras para mostrar
cómo se relacionan los números
del problema.
Answers
The addition equation that can be used to check the result of 456 - 342 = 114 is:
456 + (-342) = 114
Here's how you can draw a bar chart to represent the problem:
The Bar Chart+
456|
- |
342|
---|
114|
Each bar represents a number in the equation and the height of the bar shows the magnitude of the number.
In this bar chart, 456 and 342 are represented by positive bars and the subtraction symbol is represented by the height of the bar being reduced by the magnitude of 342.
The result, 114, is represented by the height of the final bar.
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The question in English is: "Which addition equation can be used to
check the result of 456-342 = 114?
Draw a bar chart to show
how the numbers are related
of the problem."
How do I find the difference in the simplest form?
Answers
Answer:
2
Step-by-step explanation:
\( \frac{8x}{4x - 7} - \frac{14}{4x - 7} \\ \\ = \frac{8x - 14}{4x - 7} \\ \\ = \frac{2 \cancel{(4x - 7)}}{\cancel{(4x - 7)}} \\ \\ = 2\)
Solve for x
Answer choices:
4
5
8
3
2
Answers
opposite angles are equal
\(\\ \sf\longmapsto 13x+19=84\)
\(\\ \sf\longmapsto 13x=84-19\)
\(\\ \sf\longmapsto 13x=65\)
\(\\ \sf\longmapsto x=\dfrac{65}{13}\)
\(\\ \sf\longmapsto x=5\)
Answer:
\(\boxed {\boxed {\sf x=5}}\)
Step-by-step explanation:
We are asked to solve for x.
We are given a pair of intersecting lines and 2 angles measuring (13x+19)° and 84°. The angles are opposite each other, so they are vertical angles. This means they are congruent or have the same angle measure.
Since the 2 angles are congruent, we can set them equal to each other.
\((13x+19)=84\)
Solve for x by isolating the variable. This is done by performing inverse operations.
19 is being added to 13x. The inverse operation of addition is subtraction. Subtract 19 from both sides of the equation.
\(13x+19-19= 84 -19\)
\(13x= 84 -19\)
\(13x=65\)
x is being multiplied by 13. The inverse operation of multiplication is division. Divide both sides by 13.
\(\frac {13x}{13}= \frac{65}{13}\)
\(x= \frac{65}{13}\)
\(x= 5\)
For this pair of vertical angles, x is equal to 5.
length of a rectangle with a width of 10 and an area of 150 meters
Answers
We know that the area of a rectangle is given by the formula A = l × w, where A is the area, l is the length, and w is the width.
In this case, we are given that the width is 10 meters and the area is 150 square meters. So, we can plug in these values into the formula to find the length:
150 = l × 10
Dividing both sides by 10, we get:
15 = l
Therefore, the length of the rectangle is 15 meters.
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Natalie is selling fruit at the Saturday market. She has a
otal of 48 pears that she wants to sell. She makes bags of
pears and sells them for $5 per bag. In which equation
oes b represent the number of bags of pears?
Answers
If Natalie puts 4 pears in each bag, she will be able to sell a total of 12 bags of pears at the Saturday market.
To represent the number of bags of pears, b, that Natalie sells at the Saturday market, we can use the following equation:
b = total_number_of_pears / pears_per_bag
In this equation, "total_number_of_pears" represents the total quantity of pears Natalie has, and "pears_per_bag" represents the number of pears she puts in each bag.
Given that Natalie has a total of 48 pears, we can substitute the value into the equation:
b = 48 / pears_per_bag
Now, we need to determine the number of pears she puts in each bag. The information provided states that Natalie sells bags of pears, and each bag is sold for $5. However, the specific number of pears per bag is not given. To proceed, we need this information.
Let's assume that Natalie puts 4 pears in each bag. We can substitute this value into the equation:
b = 48 / 4
Simplifying the equation gives:
b = 12
So, if Natalie puts 4 pears in each bag, she will be able to sell a total of 12 bags of pears at the Saturday market.
It's important to note that the specific value of "pears_per_bag" will affect the final result. If Natalie puts a different number of pears in each bag, the equation will yield a different number of bags sold.
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Find the trigonometric ratios (Hint: No Decimals).
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Using Pythagoras :
BA = hypotenus
BA = sqrt(2² + 3²)
BA = 3.6
SinA = opposite /hypotenus = 2 / 3.6
CosA = Adjacent / hypotenus = 3 / 3.6
Tan A = opposite / Adjacent = 2 /3
SinB = opposite /hypotenus = 3 / 3.6
CosB = Adjacent / hypotenus = 2 / 3.6
Tan B = opposite / Adjacent = 3 /2
Step-by-step explanation:
Here we have ,
> Hypontenuse ² = 2² + 3² = 4 + 9
> Hypontenuse = √13
> Hypontenuse = 3.6 .
Therefore ,
> SinA = perp /hypotenuse = 2 / 3.6
> CosA = b/h = 3 / 3.6
> Tan A = p / b = 2 /3
> SinB = 3 / 3.6
> CosB = 2 / 3.6
> Tan B = 3 /2
what is 453,605 rounded to the nearest thousand
Answers
Answer:
453605 rounded to the nearest thousand is 454000
0.05194 rounded to the nearest tenth
Answers
Answer:
0.1
0.05194 rounds to 0.1, as it is shifted more towards 0.1 than 0.0 on a number line