3. The decimal expansion of 13/625 will terminate
after how many places of decimal?
(a) 1
(b) 2
(c) 3
(d) 4
The decimal expansion of the given fraction is 0.0208. Therefore, the correct answer is option D.
The given fraction is 13/625.
Decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point.
Here, the decimal expansion is 13/625 = 0.0208
So, the number of places of decimal are 4.
Therefore, the correct answer is option D.
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Z stands for angle
PLEASE HELP
ZA and B are complementary angles. If m_A = (2x - 13) and m
ZB = (4x - 5)º, then find the measure of ZB.
Angle B measures 67 degrees
Step-by-step explanation:
2x - 13 + 4x - 5 = 90
6x - 18 = 90
+18 +18
6x = 108
6x/6 = 108/6
x = 18
4x - 5
4(18) - 5
= 67
I hope this helps you, have a good day!
A popular roller coaster ride lasts 8 minutes. There are 24 people on average on the roller coaster during peak time. How many people are stepping onto the roller coaster per minute at peak time? Multiple Choice A) 24 B) 6 C) 3 D) 8
An average of 3 people are stepping onto the roller coaster per minute at peak time. The answer is option B) 6.
To determine the number of people who are stepping onto the roller coaster per minute at peak time, you need to divide the number of people on the roller coaster by the duration of the ride. Hence, the correct option is B) 6.
To be more specific, this means that at peak time, an average of 3 people is getting on the ride per minute. This is how you calculate it:
Number of people per minute = Number of people on the roller coaster / Duration of the ride
Number of people on the roller coaster = 24
Duration of the ride = 8 minutes
Number of people per minute = 24 / 8 = 3
Therefore, an average of 3 people are stepping onto the roller coaster per minute at peak time. The answer is option B) 6.
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Negative slope?
WILL MARK BRAINLIEST!!! !!
(picture included^^^)
Answer:
y= -3/-1
Step-by-step explanation:
hope it helps.
two pollsters will canvas a neighborhood with 20 houses. each pollster will visit 10 of the houses. how many different assignments of pollsters to houses are possible?
There are 92,378 different assignments of pollsters to houses where two pollsters will canvas a neighborhood with 20 houses.
There are 20 houses to choose from for the first pollster, and then 19 houses remaining for the second pollster.
However, since the order in which the pollsters visit the houses does not matter, we need to divide by the number of ways of arranging the 10 houses that each pollster will visit evaluated using probability.
Therefore, the total number of different assignments of pollsters to houses is:
(20 choose 10) * (10 choose 10) / 2! = (184,756) * (1) / 2 = 92,378
So there are 92,378 different assignments of pollsters to houses.
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16047 divide by 60
4620 divide by 250
52080 divide by 15
brainleiest
Answer:
1) 267.45
2) 18.48
3) 3472
WILL MARK BRAINLIEST NEED ANSWER ASAP
Kevin is 3 times as old as Daniel. 4 years ago, Kevin was 5 times as old as Daniel.
How old is Daniel now?
Answer:
Kevin's age = 24
Daniel's age = 8
Step-by-step explanation:
Just trust lol
Answer:
Kevin = 24
Daniel = 8
Step-by-step explanation:
The ratio of blue pens to black pens on a teacher’s desk is 4 to 6. A teacher asks four students to write an equivalent ratio to 4 to 6. The table shows each student’s response
The equivalent ratio to 4 to 6 is 2 to 3.
Student 1: 8 to 12, Student 2: 2 to 3, Student 3: 10 to 15, Student 4: 40 to 60. The ratio of blue pens to black pens on a teacher's desk is 4 to 6. If we add 4 and 6, we get 10. This means that for every 10 pens, 4 of them are blue and 6 of them are black. We can write this ratio as 4:6 or as a fraction 4/10, which can be simplified to 2/5.To write an equivalent ratio, we need to multiply the numerator and the denominator of the original ratio by the same number. We can multiply both by 2, to get the equivalent ratio of 8:12 or simplify it to 2:3, which is Student 2's answer. Therefore, the equivalent ratio to 4 to 6 is 2 to 3.
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a normalized binary number consists of three parts. these are:
Main Answer: A normalized binary number typically consists of three parts:
Sign bitExponentMantissaSupporting Question and Answer:
What is a sign bit in a normalized binary number?
The sign bit is the leftmost bit of a normalized binary number and indicates whether the number is positive or negative .A value of 0 indicates a positive number, while a value of 1 indicates a negative number.
Body of the Solution: A normalized binary number typically consists of the following three parts:
Sign bit: This is the leftmost bit of the number and indicates whether the number is positive or negative. A value of 0 indicates a positive number, while a value of 1 indicates a negative number.Exponent: This is the next set of bits that represent the exponent of the number in binary form. The exponent represents the power to which the base (2) is raised to obatain the actual value of the number. Mantissa: This is the remaining bits that represent the fractional part of the number in binary form. The mantissa contains the significant digits of the number, which are multiplied by the base raised to the exponent power to obtain the actual value of the number.Final Answer: A normalized binary number typically consists of three parts:
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HELP ASAP due in 1 hour
Answer: Same Side Interior Angles
Step-by-step explanation:
Imma help you eliminate the options.
-These angles are inside the parallel lines, meaning that they have to be interior angles. That eliminates any answers involving exterior angles. Next, simply by definition, it wouldn't be corresponding. Finally, alternate interior angles is eliminated because the angles are on the SAME SIDE of the transversal, meaning that Same-Side interior angles is the answer.
Which expression is not equivalent to the other three A) -9- 7 + 16n
Answer:
-16(1-n)
Step-by-step explanation:
Answer:
your answer would be -16(1-n)
Step-by-step explanation:
U_{5} Find the vector v_{\text {, where }} u=(-3,2) and w=\{-2,-3) . v=u+2 w v= Illustrate the specified vector operation geometrically.
which of the foseming vecons are
To find the vector v, we can perform the vector operation v = u + 2w, where u = (-3, 2) and w = (-2, -3). The resulting vector v can be obtained by adding twice the components of w to the components of u. Geometrically, the vector operation of adding u and 2w corresponds to translating u in the direction of w by twice the length of w.
Given the vectors u = (-3, 2) and w = (-2, -3), we can perform the vector operation v = u + 2w by adding twice the components of w to the components of u.
v = (-3, 2) + 2(-2, -3)
= (-3, 2) + (-4, -6)
= (-7, -4)
So, the vector v is (-7, -4).
Geometrically, the vector addition u + 2w corresponds to translating the vector u in the direction of vector w by twice the length of w. In this case, starting from the point representing u, we move twice the length of w in the direction of w to obtain the point representing the vector v.
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An experiment to compare the spreading rates of five different brands of yellow interior latex paint available in a particular area used 4 gallons (J = 4) of each paint. The sample average spreading rates (ft2/gal) for the five brands were x1. = 462.0, x2. = 502.8, x3. = 427.5, x4. = 469.3, and x5. = 532.1. The computed value of F was found to be significant at level α = 0.05. With MSE = 450.8, use Tukey's procedure to investigate significant differences between brands. (Round your answer to two decimal places.)
W= ?
Which means differ significantly from one another? (Select all that apply.)Which means differ significantly from one another? (Select all that apply.)
x1. and x2.
x1. and x3.
x1. and x4.
x1. and x5.
x2. and x3.x2. and x4.
x2. and x5.
x3. and x4.
x3. and x5.
x4. and x5.
There are no significant differences.
Tukey's procedure to investigate significant differences between brands is x3. and x5.
x4. and x5.
To use Tukey's procedure to investigate significant differences between brands, we need to calculate the value of W and compare it with the critical value from the Studentized Range Distribution.
The formula for W is:
W = q(α, 5, 15) * √(MSE/4)
where q(α, 5, 15) is the critical value from the Studentized Range Distribution with α = 0.05, k = 5 (number of brands), and df = 15 (total degrees of freedom). Using a table or calculator, we find:
q(0.05, 5, 15) = 3.07
Plugging in the given values, we get:
W = 3.07 * √(450.8/4) ≈ 17.99
Since the computed value of F was found to be significant at level α = 0.05, we can conclude that there are significant differences between at least some of the brands. To determine which brands differ significantly from one another, we can use the formula:
|xi. - xj.| ≥ W / √(2MSE/4)
where xi. and xj. are the sample averages for any two brands i and j. If this inequality is satisfied, then we can say that the two brands differ significantly from one another.
Calculating the absolute differences between all pairs of sample averages and comparing them with the right-hand side of the inequality above, we get:
|462.0 - 502.8| = 40.8 ≥ 8.99 → Significant
|462.0 - 427.5| = 34.5 < 8.99 → Not significant
|462.0 - 469.3| = 7.3 < 8.99 → Not significant
|462.0 - 532.1| = 70.1 ≥ 8.99 → Significant
|502.8 - 427.5| = 75.3 ≥ 8.99 → Significant
|502.8 - 469.3| = 33.5 < 8.99 → Not significant
|502.8 - 532.1| = 29.3 < 8.99 → Not significant
|427.5 - 469.3| = 41.8 ≥ 8.99 → Significant
|427.5 - 532.1| = 104.6 ≥ 8.99 → Significant
|469.3 - 532.1| = 62.8 ≥ 8.99 → Significant
Using the critical value W, we can conclude that brands 1, 2, 4, and 5 differ significantly from one another. Therefore, the correct answer is:
x1. and x2.
x1. and x5.
x2. and x3.
x3. and x4.
x3. and x5.
x4. and x5.
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The base of this prism is {blank} triangle.
PLEASE HELP 50 POINTS.
The volume of the prism is 18 m³.
What is volume?Volume is the space occupied by a solid shape.
To caclulate the volume of the prism, we use the formula below
Formula:
V = bhL/2.................... Equation 1Where:
V = Volume of the prismb = Base of the Triangleh = Height of the triangleL = Length of the prismFrom the question,
Given:
b = 1.5 mh = 2 mL = 12 mSubstitute these values into equation 1
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If a rental apartment has 984 square feet, and the monthly rent per square foot is $1.80, what is the total monthly rent?
Answer:
Step-by-step explanation:
Well the monthly rent, as an equation, would be:
\(y=1.8x\)
Where x is the square footage of the apartment. Thus, substituting in 984 for x:
\(y = 1.8 * 984 = 1771.2\)
Thus, the monthly rent will be $1771.20
Hope this helps!
A recipe uses 300300300 grams of flour for every 200200200 grams of sugar. 1. Write an equation that represents how many grams of flour we need (fff) for some number of grams of sugar (sss).
Ratio is always written as x/y where y can never be zero.
Grams of flour needed for every 200200200 and grams of sugar = 300300300 grams
The equation that represents how many grams of flour we need for some grams of sugar is fff = 222/333
Let’s assume fff as grams of flour and sss as grams of sugar.
So, the ratio for grams of flour:grams of sugar will be,
= fff:sss = 200200200:300300300
Hence, fff = 222/333 × sss
Ratio is a comparison between two things where it tells how much one thing contains the other thing.
Hence the answer is, Ratio is always written as x/y where y can never be zero.
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Answer:
your equation is f = 3/2s so you're going to have to need 750 grams of flour for 500 grams of flour
henry created a scatterplog and drew the line of the best fit the equation of his line was y =x+2 which of the following could have been henrys scatter plot
Answer: Option C
Given the linear equation
y = x + 2
when x = 0
y = 0 + 2
y = 2
when x = 1
y = 1 + 2
y = 3
when x= 2
y = 2 + 2
y = 4
when x = 3
y = 2 + 3
y = 5
Therefore, option C is likely to fit the linear equation
Given the following information, find the length of the missing side. Leave your answer as a simplified radical. Short = 5, Hypotenuse = 10 Long = ?
Answer:
8.66
Step-by-step explanation:
Answer:
8.66
Step-by-step explanation:
From the observation deck of a skyscraper, Valeria measures a 67^{\circ} ∘ angle of depression to a ship in the harbor below. If the observation deck is 945 feet high, what is the horizontal distance from the base of the skyscraper out to the ship? Round your answer to the nearest hundredth of a foot if necessary.
The horizontal distance from the base of the skyscraper out to the ship would be 401.1 feet.
What are the trigonometric ratios?Trigonometric ratios for a right-angled triangle are from the perspective of a particular non-right angle.
In a right-angled triangle, two such angles are there which are not right angled(not of 90 degrees).
The slanted side is called the hypotenuse.
Let d the horizontal distance from the base of the skyscraper out to the ship. Since the angle of depression is 67°, hence:
Angle = 90 - 67 = 23°
Using trigonometric ratio:
tan(23) = d/ 945
d = 401.1 feet
The horizontal distance from the base of the skyscraper out to the ship would be 401.1 feet.
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522.64 greater or lesser than 522.9
Answer:
Hi friend! 522.64 is less than 522.9
It is less than
Step-by-step explanation:
you always have to look at the number behind the decimal and in this case the number 9 is higher than the number 6
Which one?
A. B. C. or D?
Answer:
the answer is C
Step-by-step explanation:
GLAD TO HELP!!
Answer:
C
Step-by-step explanation:
not 100 % sure but here you go!!
 Can you please help me!
What is the ordered pair that represents the point (−4, −7) after a reflection over the x-axis?
(4, 7)
(−4, 7)
(7, −4)
(−7, −4)
After reflection over the x-axis the ordered pair is at (-4, 7).
What is the reflection?When two different media come together at an interface, a wavefront might change direction so that it returns to the first medium, which is known as reflection.
When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the x-axis is (x, -y).
Here,
The reflection of point (-4, 7) across the x-axis is (-4, -7).
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a/6 is greater than 1
Answer: if its a proper fraction, 1 is always greater. Just know that because something doesnt look right here!
Step-by-step explanation:
I need help Oder of operations is not my best math
Answer:
I'm not the best with math either but the order is PEMDAS
Step-by-step explanation:
P: parenthesis
E: exponits
M: mutiplication
D: division
A: addation
S: subtraction
This means you would do the problems in parenthesis () first then go down the list here
Are the lines parallel, perpendicular, or neither?
y = 7x +3
y = 1/7x - 5
Answer:
Neither (Answer)
Step-by-step explanation:
Comparing both the equations with slope-intercept form (y = mx + c), where 'm' is the (slope/gradient) and and 'c' is the (y-intercept).
If slopes are equal then the lines are parallelIf the product of slopes is equal to '-1' then lines are perpendicularOtherwise, lines are intersecting (Neither)Note: If the slopes are equal as well as the y-intercepts then they are same lines (overlapping) i.e lines are scaler multiple of each other.
Slope of line 1 = m1 = 7
slope of line 2 = m2 = 1/7
neither the slopes are equal nor the their product is equal to '-1'
Write seventy-three and four hundred ninety-six thousandths as a decimal number.
Step-by-step explanation:
73 and 496/1000 = 73 . 496
what is [9 4 [8 7
6 5] + 9 3]?
The result of the expression [9 4 [8 7 6 5] + 9 3] is the matrix [17 11 6 5 9 3].
The given expression is:
[9 4 [8 7 6 5] + 9 3]
The expression inside the brackets [8 7 6 5] is a 1x4 matrix. In order to add the matrix [8 7 6 5] to [9 4], we need to ensure that the dimensions match. Therefore, we can rewrite [9 4] as a 1x2 matrix by adding a zero in the third position. Thus, we have:
[9 4 0] + [8 7 6 5 9 3]
Now, the dimensions match, and we can add the corresponding elements:
[9+8, 4+7, 0+6, 0+5, 0+9, 0+3]
Simplifying the expression, we get:
[17, 11, 6, 5, 9, 3]
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.Data were gathered on how deep sharks dive from the surface of the water based on body weight and graphed on a scatterplot. Part A: Interpret the scatterplot. Comment on the association, form, strength, and outliers. (5 points) Part B: The correlation coefficient of the data is r=-0.98. Does this correlation make sense based on the interpretation in part A? Explain. (5 points)
The interpretation of the scatter plot is done, and yes, the correlation coefficient of r = -0.98 makes sense based on the interpretation of the scatterplot in part A.
Given data were gathered on how deep sharks dive from the surface of the water based on body weight and graphed on a scatterplot.
Part A: Interpret the scatterplot
The scatterplot is a visual representation of the relationship between two sets of data that are plotted against each other. It is used to identify trends in data, as well as potential outliers, or anomalies. Let's interpret the given scatter plot.
Association:
As the weight of the shark increases, the depth to which it dives decreases, which is a negative association.
Form:
The scatterplot shows a strong negative correlation.
Strength: The strength of the negative correlation is strong as the dots are tightly clustered and all fall near a straight line.
Outliers:
There are no outliers present in the data.
Part B:
The correlation coefficient of the data is r = -0.98. Does this correlation make sense based on the interpretation in part A? Explain
Yes, the correlation coefficient of r = -0.98 makes sense based on the interpretation of the scatterplot in part A. The scatterplot showed a strong negative correlation between the weight of the sharks and the depth to which they dive. A correlation coefficient of -0.98 is a strong negative correlation, which supports the scatterplot's visual representation of the data.
The coefficient measures the strength of the correlation between two variables. A coefficient of -1 indicates a perfect negative correlation, meaning that as one variable increases, the other decreases. A coefficient of 0 indicates no correlation, and a coefficient of 1 indicates a perfect positive correlation.
Therefore, r = -0.98 shows that there is a strong negative correlation between the two variables, which is supported by the scatterplot's visual representation of the data.
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Does anyone know the answer to 10 and 11??
Answer:
I do!
Step-by-step explanation:
10: It appears to be (6, 4.75)
11: It looks like (-4, -4)
You can desmos graphing calculator to check yourself, if you'd like!
I hope this helps!