[tex]7\sqrt{32}-6\sqrt{72}=7\sqrt{16\cdot2}-6\sqrt{36\cdot2}\\\\=7\cdot\sqrt{16}\cdot\sqrt2-6\cdot\sqrt{36}\cdot\sqrt2\\\\=7\cdot4\cdot\sqrt2-6\cdot6\cdot\sqrt2=28\sqrt2-36\sqrt2\\\\=-8\sqrt2[/tex]
[tex]Used:\\\\\sqrt{a\cdot b}=\sqrt{a}\cdot\sqrt{b}[/tex]
Determine whether the given lengths can be sides of a right triangle.
10 in., 26 in., 24 in.
Can 10, 26, and 24 be the lengths of the sides of a right triangle?
I need help with this!
Solution
f(r) = 3.14[tex]r^{2}[/tex]
Now we have to find the area of the circle when the radius (r) = 4.
Plug in r = 4 in f(r) to get the area of the circle.
f(4) = 3.14[tex](4^{2} )[/tex]
f(4) = 3.14 * 4 * 4
f(4) = 3.14 *16
f(4) = 50.24
The answer is C. 50.24
The length of a rectangle is seven times the width. To express the length and the width in terms of the same variable, let W be the width. Then the length is
how do you work out this problem?
3x+15=66
3x + 15 = 66
-15 -15
3x = 51
Divide 51 by 3 which equals 17.
25% of the customers at Terrific Tresses hair salon have curly hair. If the salon has 644 customers, How many do not have curly hair?
To find the number of customers without curly hair at the salon, we multiply the total number of customers by the percentage with curly hair and subtract that from the total number of customers.
Explanation:To find the number of customers who do not have curly hair, we first need to determine the number of customers who do have curly hair. We know that 25% of the customers have curly hair, which is equal to 0.25. To find this number, we multiply 0.25 by the total number of customers. So, 0.25 * 644 = 161.
Since we have the number of customers with curly hair, we can subtract this from the total number of customers to find the number without curly hair. So, 644 - 161 = 483 customers do not have curly hair at Terrific Tresses hair salon.
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which of the following sets of constraints forms an unbounded feasible region?
x≤0, y≥0, y≤2
x≥0, x≤2, y≥0, y≤3
x≥-2, x≤0, y≥0, y≤2
x≥0, x≤2, y≥0, y≤2
The third one is the right answer
Answer:
its a :)
Step-by-step explanation:
Plz help ASAP thanks !! 30 points!
What is the value of x ?
Remark
The 2 angles are vertically opposite and that means they are equal.
Equation
(3x - 3) = [6(x - 10)]
Solution
Remove the brackets.
3x - 3 = 6(x - 10)
3x - 3 = 6x - 60 Subtract 3x from both sides
- 3 = 6x - 60 - 3x Combine like terms
-3 = 3x - 60 Add 60 to both sides
-3 + 60 = 3x
57 = 3x Divide by 3
57 / 3 = 3x / 3
19 = x Answer
Jina is chosing a 2-letter password from the letters A,B,C, and D. The password cannot have the same letter repeated in it. How many such passwords are possible?
What is the measure of the angle between the minute and the hour hands, when they show 3:05 PM?
Answer:
62.5°
I hope it works for you!
simplify the expression 5a-2a+9
It would be 3a+9. You want to add the like terms. To solve, first add all the "a's". You jave 5a, minus 2a, so you are left with 3a. There's only 1 whole number so just leave it be.
A jug contained 6qt of Kolkata. Tom drank 3/8 of the jug. How much did he drink?
Tom drank 2.25qt of the jug, in fraction form it would be 2 1/4
What’s the product of 4(-3)
48 times 24 pleaseeee
48 times 24 is 1,152.
48x24=672
Hope I helped!
ΩωΩ
Jerry deposited $20,000 on an investment that will give $1,750 for every year that his money stays in the account. how much money will he have in his account by the end of year 8
the interest rate is 8.75%
Amount=20000(1+8.75%/100) into power of time 8
=39125.88
which are discrete variables ????
Answer:
E, C
Step-by-step explanation:
One serving of yogurt has 95 cal what is a reasonable estimate for the number of calories in 2.5 servings of yogurt One serving of yogurt has 95 cal what is a reasonable estimate for the number of calories in 2.5 servings of yogurt
Answer:
2.5 servings have 237.5 calories.Step-by-step explanation:
To solve this problem we need to apply the rule of three.
If one serving has 95 calories, then how much calories would have 2.5 servings?
[tex]2.5 \ servings \ \frac{95 \ calories}{1 \ serving}=237.5 \ calories[/tex]
Therefore, 2.5 servings have 237.5 calories.
Which statement best explains who earns the most money per item sold
Since you didn’t include the statements, the answer is Marsha.
Why? Her slope increases more per item sold than Dreya.
[tex]\text{The slope formula is: }y=mx+b[/tex]
Marsha earns the most money per item sold because her profit margin is higher, and her earnings increase more rapidly as she sells more items compared to Dreya. Correct option is 2.
Marsha earns the most money per item sold because her profit margin per unit is higher than Dreya's. Profit margin is calculated by subtracting the cost of producing or acquiring an item from its selling price and then dividing the result by the selling price. If Marsha's profit margin per item is larger than Dreya's, it means that she earns more money for each item sold.
The statement also mentions that Marsha's slope increases more per item sold than Dreya's. This likely refers to a graphical representation where Marsha's revenue or profit line has a steeper slope than Dreya's. A steeper slope indicates that Marsha's earnings increase at a faster rate for each additional item sold, reinforcing the idea that she earns more money per item.
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Complete question is:
The graph below shows the weekly salaries of two employees based on the number of items sold. Salaries A graph has items sold on the x-axis and weekly salary on the y-axis. A line for Dreya goes through points (0, 500) and (4, 600). A line for Marsha goes through points (0, 250) and (3, 400). Which statement best explains who earns the most money per item sold?
1. Dreya earns the most money per item sold because her line increases at a faster rate than Marsha’s.
2. Marsha earns the most money per item sold because her line increases at a faster rate than Dreya’s.
3. Dreya earns the most money per item sold because her line begins at a higher point than Marsha’s.
4. Marsha earns the most money per item sold because her line begins at a higher point than Dreya’s.
HE;P ME!!!!!
The average rainfall in Annette, Alaska is 0.31 inches per day. How much rain falls over the course of an average September?
The average amount of rain fall is 9.61 inches
The average rainfall in Annette, Alaska is 0.31 inches per day. Over the course of an average September, the total amount of rain that falls is 9.3 inches.
Explanation:To find out how much rain falls over the course of an average September, we need to know the number of days in September. Let's assume there are 30 days. Given that the average rainfall in Annette, Alaska is 0.31 inches per day, we can calculate the total rainfall by multiplying the average rainfall per day by the number of days in September: 0.31 inches/day * 30 days = 9.3 inches.
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5 decimal jumps to the right is a shortcut to what math
In this Decimal Point Movement question, Moving the decimal five places to the right in mathematics is a shortcut for multiplication by 105 (one hundred thousand). This uses the principle of powers of ten.
In mathematics, moving the decimal five places to the right is actually a shortcut for multiplying by 105, or 100,000. This concept utilizes the patterns in powers of ten. For instance, for any given number, we can count the zeros in the power of ten and then move the decimal point that same number of places to the right.
Illustrating with an example, let's say we have the number 5.27. If we multiply it by 105, we move the decimal five places to the right to get 527000. This aligns with the multiplication principle: when we multiply by 10, 100, 1000, and so on, each time, we are essentially incrementing the decimal place to the right.
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3x+10y=13
4(-2y+x)-9x=13
Answer:
[tex]x=-9[/tex]
[tex]y=4[/tex]
Step-by-step explanation:
[tex]3x+10y=13[/tex] ← Equation 1
[tex]4(-2y+x)-9x=13\\[/tex]
By simplifying the above equation we get,
[tex]-8y+=4x-9x=13[/tex] (Simplifying the brackets)
[tex]-8y-5x=13[/tex] (By subtracting [tex]-9x[/tex] from [tex]+4x[/tex]) ← Equation 2
Multiply Equation 1 by 5 and Equation 2 by 3 and add them together.
Equation 1 multiplied by 5 will give,
[tex]15x+50y=65[/tex]
Equation 2 multiplied by 3 will give,
[tex]-24y-15x=39[/tex]
Add those together,
[tex]15x+50y-24y-15x=65+39[/tex]
[tex]26y=104[/tex] (After simplifying [tex]x[/tex] values)
Therefor [tex]y=4[/tex]
By substituting [tex]y=4[/tex] to Equation 1 we get,
[tex]3x+10*4=13[/tex][tex]3x+40=13\\3x=-27\\x=-9[/tex]
Therefor we can say,
[tex]x=-9[/tex]
[tex]y=4[/tex]
Can I get some help on 3-5 please I don't understand how to do this :']
the ratio of yellow roses to red roses in a garden is 47 to 96. express this ratio in two different ways
A. 51 and 28
B. 17 and 84
C. 17 and 51
D. 51 and 84
Answer: the answer is c
A coffee merchant wants to make 6 pounds of a blend of coffee costing five dollars per pound. The blend is made using a six dollar per pound grade coffee and a three dollar per pound grade of coffee. How many pounds of each of these grades should be used?
Answer:
We should use 4 pounds of $6 coffee and 2 pounds of $3 coffee for the blend.
Step-by-step explanation:
The blend should,
Cost = $5
Weigh = 6 pounds.
Lets take the weight of $6 coffee as [tex]x[/tex] pounds
And lets take the weight of $3 coffee as [tex]y[/tex] pounds.
Lets write an equation for the weight of the blend,
[tex]x+y=6[/tex] <---------- 1st equation.
[tex]\frac{6x+3y}{x+y} =5[/tex]
=[tex]6x+3y=5x+5y[/tex]
=[tex]x=2y[/tex] <---------- 2nd equation
We can substitute to x in 1st equation from 2nd equation,
⇒[tex]2y+y=6[/tex]
=[tex]2y+y=6[/tex]
=[tex]3y=6[/tex]
=[tex]y=2[/tex]
We can substitute y value to 2nd equation to find x,
⇒[tex]x=2y[/tex]
=[tex]x=2*2[/tex]=[tex]x=4[/tex]
Therefore, we should use 4 pounds of $6 coffee and 2 pounds of $3 coffee for the blend.
A restaurant has 1,996 forks, 1,745 knives and 2,116 spoons. The owner wants to have 2,000 of each utensil. She can buy more utensils or donate extra utensils. How many additional forks and knives are need? How many extra spoons are there?
Answer:
4 forks and 255 knives will be needed more, while 116 spoons are extra.
Step-by-step explanation:
A restaurant has 1996 forks, 1745 knives and 2116 spoons.
Owner wants to have 2000 of each utensil.
So make them equal to 2000, number of forks needed = 2000 - 1996 = 4
[Subtracted from 2000 because number of forks are less than 2000]
Number of knives needed = 2000 - 1745
= 255
[Again subtracted from 2000 because number of knives are less]
Number of spoons to be donated = 2116 - 2000
= 116
[2000 is subtracted from total number of spoons because spoons are more than 2000]
Therefore, 4 forks and 255 knives will be needed more, while 116 spoons are extra.
Please help. I will mark Brianly !
It’s a positive because 1,132,701 is greater than -47,320
Hope that helps :)
Line JK has the slope 3/4 and is perpendicular to line LM. What is the slope of line LM?
Answer:
The slope of line [tex]LM[/tex] is [tex]-\frac{4}{3}[/tex]
Step-by-step explanation:
Line [tex]JK[/tex] has the slope [tex]\frac{3}{4}[/tex] and is perpendicular to line [tex]LM[/tex]
Suppose, the slope of line [tex]LM[/tex] is [tex]m[/tex]
We know that, the product of the slopes of two lines which are perpendicular to each other is always [tex]-1[/tex]. So, the equation will be..............
[tex]\frac{3}{4}*m= -1\\ \\\frac{3m}{4}=-1\\ \\ 3m= -4\\ \\ m=-\frac{4}{3}[/tex]
So, the slope of line [tex]LM[/tex] will be [tex]-\frac{4}{3}[/tex]
For what value of n does (1/36)^n=216
(1/36)^n = 216
Rewrite 36 as 6^2
(1/6^2) ^n = 216
Since 36 is in the denominator, the exponent is negative
(6^-2) ^n = 216
Rewrite 216 as 6^3
(6^-2)^n = 6^3
We know that a^b^c = a^(b*c) so
6^(-2n) = 6^3
Since the bases are the same, the exponents are the same
-2n = 3
Solving for n
n =-3/2
n = -1.5
Final answer:
The value of n for which [tex](1/36)^n[/tex] equals 216 is -3/2. This is found by expressing both sides of the equation with the common base of 6 and equating the exponents, then solving for n.
Explanation:
To find the value of n for which [tex](1/36)^n[/tex]= 216, first we express 216 as a power of 6, since 36 is a power of 6 (36 = [tex]6^2[/tex]): 216 = [tex]6^3[/tex]. We can then rewrite the equation using this equivalent expression of 216 and the knowledge that 1/36 is [tex]6^-2[/tex]:
[tex](6^-2)^n = 6^3[/tex]
Using the power of a power rule, this simplifies to:
[tex]6^(-2n) = 6^3[/tex]
Since the bases are the same, the exponents must be equal:
-2n = 3
Dividing both sides by -2 to solve for n, we get:
n = -3/2
jade as $20. she wants to buy as many bracelets as she can afford. Each bracelet costs $3.78. ade estimated she could buy 5 brackets, then did this calculation: $3.78×5=$18.90
Answer:
Jade is able to buy 5 bracelets
Step-by-step explanation:
Whitney sells cars at a local dealership. She receives a monthly salary of $1,337.00 and a $177.00 commission on each car she sells. If Whitney receives her commission check at the end of the month along with her salary check, which of the following equations can be used to determine her total pay for the month? (Let x represent the number of policies sold and y represent the total amount of pay for the month.)
Answer: y = 1,337.00 + 177.00x
Explanation:
The total pay for the month that Whitney receives is a composition of the fixed salary, $1,337.00, and the commission, $177.00 one ach car she sells.
The commision, in turn is a function of the number of cars that she sells. So the composed function is the sum of two terms: the basic salary and the comissions.
The variables used are:
dependent variable, total pay for the month: yindependent variable, number of policies sold: xHence, the function is: y = 1,337.00 + 177.00x
100e^0.125t=200
A. t= ln(16)
B. t= ln(256)
C. t= 8ln(100)
D. t= 0.08ln(200)
To solve the equation 100e^0.125t=200 for t, divide by 100, apply the natural logarithm, and rearrange to find t=ln(2)/0.125, which simplifies to t=ln(16).The Correct Answer is Option. A.
Explanation:The question involves solving for the variable t in the exponential equation 100e^0.125t=200.
To solve this, we need to isolate the exponent on one side. Here are the steps to find the correct value of t:
Divide both sides by 100 to get e^0.125t = 2.Apply the natural logarithm (ln) to both sides to obtain ln(e^0.125t) = ln(2).Simplify the left side using the property ln(e^x) = x, resulting in 0.125t = ln(2).Finally, divide both sides by 0.125 to find t. This gives t = ln(2)/0.125.The correct answer from the given options is A. t= ln(16), as ln(2) / 0.125 = ln(16).