The factored form of −7ab+10 is (ab−5)(ab−2).
Explanation:To factor the expression −7ab+10, we look for two binomials whose product gives the original expression. In this case, the factors are
(ab−5)(ab−2).
Expanding
(ab−5)(ab−2) using the distributive property, we get:
(ab−5)(ab−2)=(ab)(ab)−(ab)(2)−(5)(ab)+(5)(2)
Simplifying each term, we get:
−2ab−5ab+10
Combining like terms, we have:
−7ab+10
Therefore, the factored form of −7ab+10 is (ab−5)(ab−2).
Find the locus of the point (x,y) which is a distance 3 from the point (-2, 1)
last year, marys vegetable garden was a rectangle that measured 6 ft by 8 ft. If she wants to increase the size this year by a scale factor of 2. the measurements should be ____ ft by 16 ft
what is 68% out of 25
The circumference of a circle is divided into twelve equal arcs. The measure of each arc is degrees.
The measure of each of the arc in degrees is:
30 degree
Step-by-step explanation:We know that the circle is a whole of 360 degrees.
Now when we divide the circumference of a circle into 12 equal arcs, then the measure of each arc in degrees is calculated as the ratio of the 360 degrees to the number of arcs it has been divided.
Hence, the measure of each arc in degrees is:
[tex]\dfrac{360}{12}=30[/tex]
Hence, the measure in degrees is:
30 degree
a used truck for $4,500 he made an agreement with the dealer to put $1,500 and make payments of 350 for the next 10 months that extra costs paid by taking this bill bill is equivalent to what actual yearly rate of interest
Find the first four terms of this geometric sequence a1 = 5 And r = 6
What is the shape of the following distribution?
{9, 10, 10, 11, 11, 12, 12, 13, 13, 13, 14, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 18, 19, 20}
negative skew
postive skew
symmetric
asymmetric with no skew
none of the above
The distribution is positively skewed, as indicated by the longer tail on the right side of the dataset representing higher values.
The shape of the distribution for the dataset {9, 10, 10, 11, 11, 12, 12, 13, 13, 13, 14, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 18, 19, 20} can be determined by looking at the tail of the distribution. Since the values gradually increase and then have a longer tail towards the higher numbers (with the largest values occurring less frequently), we can identify this as a positively skewed distribution. The distribution does not display symmetry, and the tail extends more significantly to the right, which is indicative of a positive skew. This is because the bulk of the data is located on the left side (lower values), while the right side (higher values) stretches out longer due to the presence of outliers or a gradual decrease in frequency.
Vicki started jogging. The first time she ran she ran 3/16 mile. The second time, she ran 3/8 Mile, and the third time, she ran 9/16 mile. If she continue this pattern, when was the first time she ran more than one mile explain
Answer: So the pattern is 3/16, 3/8, 9/16
here you can write 3/8 = 6/16 multiplying numerator and denominator by 2.
Then the sequence is 3/16, 6/16, 9/16....
you can see that is an arithmetic sequence, where in every step you are adding 3/16 to the previous number.
So the next time (the fourth) she will ran (9 +3)/16 = 12/16 mile
the fifth time: (12 + 3)/16 = 15/16 mile
the sixth time : (15 + 3)/16 = 18/16 = 16/16 + 2/16 = (1 + 1/8) miles
So the sixth time she will ran more than one mile.
Name the digits of pi. At least 50
The first 50 digits of pi are 3.14159265358979323846264338327950288419716939937510.
The digits of pi (π) extend infinitely and do not repeat in any known pattern, which makes this number a mathematical constant and an irrational number. Pi is crucial in various mathematical formulas, including those used to calculate the area and circumference of a circle.
Here are the digits of pi to 50 decimal places: 3.14159265358979323846264338327950288419716939937510.
Kareem shot the basketball 32 times and made 23 baskets. What percent of his shots were baskets?
Answer:139%
Step-by-step explanation:
A company invests a total of $40 comma 000 of surplus funds at two annual rates of interest: 5% and 6one half %. It wishes an annual yield of no less than 6one fourth %. What is the least amount of money that the company must invest at the 6one half % rate? The company should invest at least $ nothing at 6one half %.
Write the time another way. 18 minutes before 11
Select the statements that are true for the graph of y = −(x−0.5)^2+9
1. The graph has a minimum.
2. The graph has a maximum.
3. The vertex is (0.5, 9) .
4. The vertex is (−0.5, 9)
I NEED THIS DONE BY 1:30 2/22/2018 THANK YOU! (:
The true statements are
2. The graph has a maximum.3. The vertex is (0.5, 9) How to determine the true statement?The equation of the function is given as:
[tex]y = -(x - 0.5)^2 + 9[/tex]
Because the leading term is negative, then the equation has a maximum
This is represented by the first minus sign in [tex]y = -(x - 0.5)^2 + 9[/tex]
The function can also be represented as:
[tex]y = a(x - h)^2 + k[/tex]
Where:
Vertex = (h,k)
So, we have:
Vertex = (0.5,9)
Hence, the true statements are (2) and (3)
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Four bottles of powerade cost $3.88. Find the unit price of each bottle
Kellie called six friends with each call lasting 8 1/2 minutes. how long was Kellie on the phone
which ingredient does Ramon use the greater amount of, buttermilk or cream cheese? Explain how you found your answer.
( 5/8 cup buttermilk , 1/2cup cream cheese)
preschool buys paint in bulk then divides the paint into smaller pirtions for use in the clasrooms. today they bought 4 2/3 gallons of green paint and divided it equally among 4 classrooms. how much green paint did each classroom get?
A smartphone originally worth $790 loses value at a rate of $175 each year.Write an equation to represent the value of the phone, then find value of the phone after 4years.Identify your variables
Final answer:
The value of the smartphone after 4 years is calculated using the linear equation V = 790 - 175t, resulting in a value of $90.
Explanation:
The smartphone's value decreases by $175 each year. To represent the value of the phone after a certain number of years, we can use a linear equation. Let V be the value of the smartphone after t years, where V is in dollars and t is the number of years.
The original value of the smartphone is $790, so the equation to represent the value over time is:
V = 790 - 175t
After 4 years, the value of the smartphone would be:
V = 790 - 175(4)
V = 790 - 700
V = $90
Therefore, the value of the smartphone after 4 years is $90.
Which Number produces a rational number when added to 0.25
Any number that is rational when added to 0.25 will result in a rational number, as 0.25 is a rational number itself. Examples include adding integers or other fractions to 0.25.
Explanation:Any number added to 0.25 will produce a rational number since 0.25 itself is a rational number. Rational numbers include integers, fractions, and finite or repeating decimals. When adding a number to 0.25, if the second number is rational, the result will surely be rational. For instance, adding an integer like 2 to 0.25 gives 2.25, which is rational. Similarly, adding a fraction like 1/2, which is 0.5 in decimal form, results in 0.75, also a rational number.
When considering common denominators in fractions for addition or subtraction, the denominator of the resulting number is a product of the denominators of the numbers being added. This is because, to add fractions effectively (or subtract them), we convert each number to an equivalent fraction with the same denominator. Then we add (or subtract) the numerators while the denominator remains constant.
In summary, any number that can be expressed as a fraction with a finite number of digits or a repeating pattern after the decimal point, being a rational number when added to 0.25, will result in another rational number.
To find a number that, when added to 0.25, produces a rational number, we can subtract the decimal part of 0.25 from 0.25 itself. The number that satisfies this condition is -1/4.
Explanation:To find a number that produces a rational number when added to 0.25, we need to understand that a rational number is one that can be expressed as a fraction. So we are looking for a number that, when added to 0.25, results in a fraction.
Let's call the number we're looking for 'x'. To make the addition result in a fraction, 'x' needs to be the negative of the decimal part of 0.25. Since 0.25 is equal to the fraction 1/4, the negative of the decimal part is -(1/4) = -1/4.
Therefore, the number that produces a rational number when added to 0.25 is -1/4.
What is the slope of a line that is parallel to the line represented by the equation?
y= -2/5x + 4/5
Answer:
y= -2/5x + 4/5
The slope is -2/5
If there is a sphere with a volume of 1761.1 meters cubed, what is the radius?
In adding 4/5 + 18/100 the least common denominator is:
The least common denominator of the given denominators 5 and 100 is 100.
Given that, 4/5 + 18/100.
What is least common denominator?When two or more fractions have the same denominators, they are termed as the common denominators. The least common denominator (LCD) refers to the smallest number that is a common denominator for a given set of fractions.
Here, two different denominators are 5 and 100.
The least common denominator of 5 and 100 is 100.
So, 80/100 + 18/100
= 98/100
= 49/50
Therefore, the least common denominator of the given denominators 5 and 100 is 100.
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What is the coefficient of the variable in the expression 4 − 3x − 7 + 6?
Answer:
the coefficient is -3
Step-by-step explanation:
Given the functions, and g(x) = 3x 2 + 2, perform the indicated operation. f(g(x))
I believe the answer is 6x-13. But I'm not 100% posititive.
a triangle has two sides of lengths 4 and 15. what value could the length of the third side be?
Answer: The answers are 12, 15, 13
Step-by-step explanation:
A cone shaped vase has a radius of 12 cm and a height of 45 cm. What is the exact value of the volume of the vase?
Answer:
6782.4 π cm³
Step-by-step explanation:
I took the test and got it right!
The line plots show the number of hours two different age groups of teenagers spent online the previous week.
Two line plots, both are labeled from twelve to thirty six going by ones underneath the line plot. The top line represents Hours spent online parenthesis ages thirteen to fifteen parenthesis. There are three Xs over twenty eight, two Xs over twenty seven and one X over twenty one, twenty four, twenty six, thirty one and thirty four. The bottom line represents Minutes spent online parenthesis ages sixteen to eighteen years old parenthesis. There are four Xs over twenty eight and one X over twelve, twenty one, twenty seven, thirty point five, thirty four, thirty five and thirty six.
Select from the drop-down menus to complete each statement.
The range is . The mean
Answer:
Step-by-step explanation:
The range is greater for data set 1 ( 13- to 15-year old ).
The mean is the same for both data sets.
Marla says that every number in nineties is composite. Jackie says that one number in the nineties is prime. Who is correct?
Answer:
Jackie, 91, 97 is prime.
Step-by-step explanation:
Remember that a number greater than 2 is NOT prime if it is divided by any number different than 1, for example 6 is NOT prime because 3 divides 6. 7 is prime because the only divisors of 7 are 1 and 7.
So for the nineties 90 is divisible by 45.
91 is divisible by 7
92 is divisible by 2
93 is divisible by 3
94 is divisible by 2
95 is divisible by 5
96 is divisible by 2
97 IS PRIME, is just divisible by 1 and 97
98 is divisible by 2
99 is divisible by 3
a blank is a number that uses place value and a decimal point to show a value less than 1 search as tenths and hundredths
A political analyst predicts Mr. Smith will only get 122 votes for mayor. If Mr. Smith only gets 57 votes, what is the political analyst's percent error? Round your answer to the nearest tenth of a percent.
The political analyst's percent error is approximately 53.3%.
Explanation:To find the political analyst's percent error, we need to calculate the absolute difference between the predicted votes and the actual votes, divide it by the predicted votes, and then multiply by 100. The formula for percent error is:
Percent Error = (|Predicted Value - Actual Value| / Predicted Value) * 100
Plugging in the values, we have:
Percent Error = (|122 - 57| / 122) * 100
Calculating the difference: |122 - 57| = 65
Calculating percent error: (65 / 122) * 100 ≈ 53.3%
Therefore, the political analyst's percent error is approximately 53.3%.
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