1/3 x 1/2
PLS PSL eellelele
Step-by-step explanation:
1/3 x 1/2
3 x 2=6
so ∴1/3 x 1/2=1/6
If a line has a slope of 3/4, what is the
slope of the line perpendicular to the
line?
The perpendicular of the line is -4/3.
What is perpendicular?Two geometric objects are perpendicular in simple geometry if they intersect at a right angle. The perpendicular sign ⊥ , can be used to visually depict the state of perpendicularity. It can be defined between two planes, two lines, or two planes and another line.
Given a line has a slope of 3/4.
So the slope of the line perpendicular will have the opposite reciprocal as a slope,
That means perpendicular of a line = - reciprocal of slope of the line
perpendicular of a line = - (4/3)
Therefore the perpendicular of the line is -4/3.
To learn more about the perpendicular;
https://brainly.com/question/11707949
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0.44, 4/9, 0.4445, 44.5 on a number line please
A physician prescribes one 0.7 mg tablet of a medication to be taken twice a day for 15 days.
How many total mcg of the medication will the patient have taken after 15 days?
Answer:
21 mg
Step-by-step explanation:
0.7 × 2 × 15 = 21
Can someone explain this?
Answer:
First, you know that a triangle has 180° total. So, you take 180-38-25 and that equals 117. So the corner inside the triangle is 117. So a straight line is also equal to 180. You take 180-117 and that is 63. 4x+3 = 63. You subtract 3 from both sides and get 4x = 60. To get x by itself you divide by 4 and x = 15.
Which choices are equivalent to the quotient below? Check all that apply. √12/√6
The expression (√12) / (√6) simplifies to √2 by combining square roots and simplifying the fraction. The final simplified form is √2. Here option A is correct.
Given Expression:
(√12) / (√6)
Step 1: Write as Quotient of Square Roots
(√12) / (√6) can be expressed as √(12/6)
We express the division of square roots as the square root of the division of the radicands.
Step 2: Simplify the Quotient Under the Radical
√(12/6)
To simplify the fraction under the square root, divide the numerator by the denominator:
√(12/6) = √2
Step 3: Write the Answer in Simplified Form
√2
Therefore, the given expression (√12) / (√6) simplifies to √2.
We simplified the expression by combining the two square roots into one using the rule for dividing square roots and then simplified the fraction under the square root to arrive at the final answer, which is √2. Here option A is correct.
The correct option is A and C.
The equivalent choices to the given quotient [tex]\(\frac{\sqrt{12}}{\sqrt{6}}\)[/tex] are A [tex](\(\sqrt{2}\))[/tex] and C [tex](\(\frac{\sqrt{4}}{\sqrt{2}}\))[/tex].
The question shows a math problem asking which choices are equivalent to the given quotient:
[tex]\[ \frac{\sqrt{12}}{\sqrt{6}} \][/tex]
We'll solve this step by step:
1. Simplify the square roots by factoring out squares:
[tex]\[ \sqrt{12} = \sqrt{4 \cdot 3} = \sqrt{4} \cdot \sqrt{3} = 2\sqrt{3} \][/tex]
[tex]\[ \sqrt{6} = \sqrt{2 \cdot 3} = \sqrt{2} \cdot \sqrt{3} \][/tex]
2. Write the original quotient with the simplified square roots:
[tex]\[ \frac{\sqrt{12}}{\sqrt{6}} = \frac{2\sqrt{3}}{\sqrt{2} \cdot \sqrt{3}} \][/tex]
3. Cancel out the common terms:
[tex]\[ \frac{2\sqrt{3}}{\sqrt{2} \cdot \sqrt{3}} = \frac{2}{\sqrt{2}} \][/tex]
4. Rationalize the denominator by multiplying the numerator and denominator by [tex]\(\sqrt{2}\)[/tex]:
[tex]\[ \frac{2}{\sqrt{2}} \cdot \frac{\sqrt{2}}{\sqrt{2}} = \frac{2\sqrt{2}}{2} \][/tex]
5. Simplify the fraction:
[tex]\[ \frac{2\sqrt{2}}{2} = \sqrt{2} \][/tex]
So the simplified quotient is [tex]\(\sqrt{2}\)[/tex]. Now let's check the options in the image to see which ones are equivalent to [tex]\(\sqrt{2}\)[/tex]:
A. [tex]\(\sqrt{2}\)[/tex] - This is the correct simplified form of the given quotient.
B. [tex]\(2\)[/tex] - This is incorrect because it is not the square root of 2.
C. [tex]\(\frac{\sqrt{4}}{\sqrt{2}}\)[/tex] - Since [tex]\(\sqrt{4} = 2\)[/tex], this simplifies to [tex]\(\frac{2}{\sqrt{2}}\)[/tex], which after rationalization becomes [tex]\(\sqrt{2}\)[/tex], so this is also correct.
D. [tex]\(\frac{2}{\sqrt{3}}\)[/tex] - This is incorrect because it does not simplify to [tex]\(\sqrt{2}\)[/tex].
E. [tex]\(\frac{\sqrt{6}}{\sqrt{2}}\)[/tex] - Since [tex]\(\sqrt{6} = \sqrt{2 \cdot 3}\)[/tex], this simplifies to [tex]\(\sqrt{3}\)[/tex], which is incorrect.
F. [tex]\(\frac{\sqrt{6}}{2}\)[/tex] - This does not simplify to [tex]\(\sqrt{2}\)[/tex] and is therefore incorrect.
The correct answer choices are A and C, which are both equivalent to [tex]\(\sqrt{2}\)[/tex].
The complete question is here:
2•2•2•3•3 in exponent form
Answer:
2^3 * 3^2
Step-by-step explanation:
Step 1: Convert into exponent form
2 * 2 * 2 * 3 * 3
2^3 * 3^2
Answer: 2^3 * 3^2
A toy store buys action figures from a factory for $8.00 per action figure. If they mark-up the toys 110% before selling them, what is the price of one of the action figures in the store?
Answer:
$8.80
Step-by-step explanation:
Answer:
$8.80
Step-by-step explanation:
110% is the whole cost plus 10%. you have you're cost at 8$ add 10% and that is 80 cents.
can 3,4,7 make a possible right triangle?
Let's see by using the Pythagorean theorem.
3 and 4 are legs. 3 is the shortest leg.
7 is the hypotenuse.
The theorem states that:
a² + b² = c²
a = 3
b = 4
c = 7
3² + 4² = 7²
9 + 16 = 49
25 = 49 (Incorrect)
So it is not possible for 3,4,7 to be a right triangle.
The numbers 3, 4, and 7 do not satisfy the Pythagorean theorem, as the sum of the squares of 3 and 4 is 25, which does not equal the square of 7 (49). Hence, these numbers cannot form a right triangle.
To determine if the numbers 3, 4, and 7 can form the sides of a right triangle, we use the Pythagorean theorem. The theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In this case, we would expect the square of the longest side (7) to be equal to the sum of the squares of the other two sides (3 and 4).
Calculating, we have:
32 + 42 = 9 + 16 = 25.
The square of the longest side is 72 = 49.
Since 25 does not equal 49, the sides 3, 4, and 7 do not satisfy the Pythagorean theorem and therefore cannot form a right triangle.
:
Consider the expression 5.758−2.317. Estimate the difference by rounding each number to the nearest whole number and then subtracting.
Answer:
4
Step-by-step explanation:
5.728 rounds up to 6 because it is greater than 5.50 and 2.317 rounds down to 2 since it is less than 2.5. 6 - 2 = 4.
Final answer:
To estimate the difference between 5.758 and 2.317, you round 5.758 up to 6 and 2.317 down to 2, and then subtract to get an estimated difference of 4.
Explanation:
The student is asking how to estimate the difference between two numbers by rounding them to the nearest whole number before subtracting.
To estimate the difference between 5.758 and 2.317, we first round each number to the nearest whole number:
5.758 rounds up to 6 because the first digit after the decimal (7) is greater than 5.
2.317 rounds down to 2 because the first digit after the decimal (3) is less than 5.
After rounding the numbers, we perform the subtraction:
6 - 2 = 4
Therefore, the estimated difference is 4.
14. Mount Everest is 29,028 ft high. Mount Kilimanjaro is 19,340 ft high.
How much taller is Mount Everest?
Answer:
Mount Everest is taller by 9,688 ft.
Step-by-step explanation:
Find the difference between the heights.
29,028 - 19,340 = 9,688
17. DIG DEEPER! The houses are identical.
Pls help me answer B and C.
(picture above)
Answer:
B: M
C: Side AB is 20ft
C: Perimeter = 96ft
Find the value of x...
x/6=15/20
Answer:
4 1/2
Step-by-step explanation:
x/6 = 15/20
Cross multiply
X x 20 = 6 x 15
20x = 90
Divide both sides by 20
x = 90/20
x = 9/2
x = 4 1/2
(a) How would you characterize the relationship between money spent on advertising and items sold?
Explain.
(b) Sally uses the function y= 1.6x+ 21.5 to model the situation. What score does the model predict
should be spent in advertising to sell 30 items?
(c) What does the number 21.5 in Part (b) mean in the context of the situation?
Answer:
Answer:
a) Positive Correlation
b) 69.5
c) Base advertisement fee
Step-by-step explanation:
a) Relationship between money spent on advertising and items sold
If we spent greater amount of money on advertisement, thus, we create more awareness and thus, the number of item sold increases.
Similarly, if less money is spent on advertisement, the number of items sold will be less.
Thus, the money spent on advertisement varies directly with the number of items sold.
Thus, they have a positive relationship or a positive correlation.
b) Money spent in advertising to sell 30 items
We are given the function:
[tex]y= 1.6x+ 21.5[/tex]
We put x = 30
[tex]y(30)= 1.6(30)+ 21.5\\y(30) = 69.5[/tex]
Thus, the score predicted by model is 69.5 units.
c) Interpretation of 21.5
Comparing the equation to a general linear equation, we get
[tex]y = mx + c[/tex]
where m is the slope and c is the y-intercept.
y-intercept tells us the value of function when x is zero.
Thus, for the given scenario it will tell about the basic advertisement fee to be paid if we want to sell 0 products.
Comparing we get,
c = 21.5
Interpretation:
Thus, 21.5 units is the basic amount of advertisement fee that needed to be paid( the number of items sold is 0)
What is 52,683 written in scientific notation? A. 52.683 x 10 B. 0.52683 x 10 C. 5.2683 x 10 D. 5.2683 x 10
Answer:
5.2683 x 10^4
Step-by-step explanation:
hope that help
Jenna takes a survey of students in her class to determine how many hours they studied for their Math exam. The mean of the responses is 5.6 hours. Which conclusion MUST be true?
A) No one in the class studied more than 5 hours.
B) Every member of the class studied for the exam.
C) At least one person in the class studied 1 hour.
D) At least one person in the class studied more than 5 hours.
A) No one in the class studied more then 5 hours
Answer:
d
Step-by-step explanation:
trust me
quinn rolled a regular number cube 42 times. how many times would you predict he rolled a 6?
Answer:
1/7 so around 7
Step-by-step explanation:
becuase there are 6 numbers and there is a 1/6 chance to get each number and 42/6 is seven so there is a 1/7 chance to get each number.
Answer:
1/7 or 7
Step-by-step explanation:
There are 6 numbers on a number cube and when you divide 42/6 you get 7, so 1/7 should be your answer.
Given the parent function, y=2^x, write an equation for a function that has a vertical shift down 5 units.
Answer:
y=2^x - 5
Step-by-step explanation:
"- 5" demonstrates a verical shift 5 units down
How do you graph 1.50x =60? I need to know the y and x axis
Answer:
you could graph y = 1.5x and y=60, then the intersection at (40,60) represents the solution of the equation.
The quotient of d minus 16 and 3 is 4 . Which equation shows this ?
Answer: d-16/3=4
Step-by-step explanation: thats the equation!
hope it helps please mark brainliest
Final answer:
The equation representing the statement "The quotient of d minus 16 and 3 is 4" is (d - 16) / 3 = 4. By solving the equation, we find that d = 28.
Explanation:
The question asks to find the equation that represents the statement: "The quotient of d minus 16 and 3 is 4." This translates to a mathematical equation by dividing the difference of d and 16 by 3, which equals 4. The equation that shows this relationship is (d - 16) / 3 = 4.
To solve this equation for d, you can follow these steps:
Multiply both sides of the equation by 3 to eliminate the denominator: (d - 16) = 12.
Add 16 to both sides of the equation to solve for d: d = 12 + 16.
This gives you d = 28 as the solution.
Therefore, the equation that accurately represents the given statement is (d - 16) / 3 = 4, and the value of d that satisfies this equation is 28.
Determine whether the following statement is true or false. Explain.
All spheres are similar
Answer:
Below.
Step-by-step explanation:
They are all the same shape.
Also, the only parameter of a sphere that can vary is the radius, so they are all similar.
Malia's family traveled
7
10
of the distance to her uncle’s house on Saturday. They traveled
2
3
of the remaining distance on Sunday. What fraction of the total distance to her uncle’s house was traveled on Sunday?
Answer:
3/9
Step-by-step explanation:
What is the definition of the union of two mathematical sats ,A and B
Set contain all the elements present in both the sets.
Step-by-step explanation:
Definition:
The union of two mathematical sets can be defined as the set that consists of all the elements present in both the sets without the repetition of elements.
Consider, A and B be the sets.
A = {1,7,5,6,0}
B = {2,3,4,5,6}
U is the symbol of union of sets, so A U B = {1,2,3,4,5,6,7,0}
Here 5 and 6 are the elements present in both the sets, so written only once in the set of A U B.
erin is taking part in a play at the community theater the cast and crew ordered T-shirts for all the volunteers the cost of a t-shirt is $8 and the total delivery charges $45 for order if the center has no more than $325 to buy T-shirts how many t-shirts can they buy
Answer:
The answer is the second one because it is less than or equal to 35
Answer:
Second one
Step-by-step explanation:
f(x) =-6x2 - 5x + 4; find f(-2)
Answer:
f(-2) = 2
Step-by-step explanation:
I'm assuming "-6x2" is actually "6x^2"
f(x) = -6x^2 - 5x + 4
Plug in -2 for the x's
f(-2) = -6(-2)^2 - 5(-2) +4
f(-2) = -6(2) - 5(-2) + 4
f(-2) = -12 + 10 + 4
f(-2) = -12 + 14
f(-2) = 2
What is the slope of the line that passes through point (3,2)
(
3
,
2
)
and point (6,11)
(
6
,
11
)
?
Answer:
Slope=3
Step-by-step explanation:
Slope=Rise/Run=(11-2)/(6-3)=9/3=3
Answer:
The slope is 3.
Step-by-step explanation:
Use the slope formula.
[tex] slope = m = \dfrac{y_2 - y_1}{x_2 - x_1} [/tex]
We use the y-coordinates of the two points as y2 and y1.
We use the x-coordinates of the two points as x2 and x1. x2 goes with y2. x1 goes with y1.
[tex] slope = m = \dfrac{11 - 2}{6 - 3} = \dfrac{9}{3} = 3[/tex]
The slope is 3.
Jim earned $700 this week. This was $20 less than four times the amount he earned last week. Which equation, when solved for x, gives the amount of money Jim earned last week?
Solution:
Given that,
Jim earned $700 this week
This was $20 less than four times the amount he earned last week
To find: amount of money Jim earned last week
Let "x" be the amount of money Jim earned last week
From given,
Jim earnings this week = $20 less than four times the amount he earned last week
Therefore,
700 = 4x - 20
Thus the equation is found
If |OQ| = 9.4 units, |OQ’| = 17.1 units, and |P’Q’| = 17.1 units, determine |PQ|. Round your answer to the tenths place, if necessary.
Answer:
9.4 units.
Step-by-step explanation:
Given information: |OQ| = 9.4 units, |OQ’| = 17.1 units, and |P’Q’| = 17.1 units.
Dilated figure is similar to the original figure. It means the corresponding sides are proportional.
[tex]\dfrac{|OQ|}{|OQ'|}=\dfrac{|PQ|}{|P'Q'|}[/tex]
Substitute the given values.
[tex]\dfrac{9.4}{17.1}=\dfrac{|PQ|}{17.1}[/tex]
Multiply both sides by 17.1.
[tex]\dfrac{9.4}{17.1}\times 17.1=\dfrac{|PQ|}{17.1}\times 17.1[/tex]
[tex]9.4=|PQ|[/tex]
Hence, the measure of |PQ| is 9.4 units.
Ms. Chang’s class decides to order posters that advertise a walkathon to raise money for a local charity. Ichiro obtains quotes from two different companies.Clear Prints charges $2 per poster. Posters by Sue charges $15 plus $.50 per poster.a. For each company, write an equation Ichiro could use to calculate the cost for any number of posters.b. For what number of posters is the cost the same for both companies? Explain.c. Which company do you think the class should buy posters from? Explain your reasoning.d. If Ms. Chang’s class has an $18 budget for posters, which company do you think the class should buy posters from? If Ms. Chang donates an additional $10 for ordering posters, does it impact the decision made? What factors influenced your decision?
Answer:
a. For each company, write an equation Ichiro could use to calculate the cost for any number of posters.
For Clear Prints: Cost(p) = 2pFor Sue: Cost(p) = 15 + 0.50pb. For what number of posters is the cost the same for both companies?
10 postersc. Which company do you think the class should buy posters from?
if the number of posters is less than 10 they should use Clear prints, because it costs is lower than Sue's.If the number of posters is equal to 10, the cost is the same with both companiesIf the number of posters is greater than 10 they should select Sue.d. If Ms. Chang’s class has an $18 budget for posters, which company do you think the class should buy posters from?
Clear Printe. If Ms. Chang donates an additional $10 for ordering posters, does it impact the decision made?
Yes, in this case the class must order the posters from Sue.What factors influenced your decision?
The budget and the charges of each company/Explanation:
a. For each company, write an equation Ichiro could use to calculate the cost for any number of posters.
Clear prints
Call p, the number of posters. The cost is the number of posters, p. times the unit cost per poster ($2):
Cost(p) = 2pSue
Using the same variable, p, for the number of posters, the cost is the flat rate, $15, plus the number of posters multiplied by the unit cost per poster, $0.50:
Cost(p) = 15 + 0.50pThe equations fhat Ichiro could use to calculate the cost for any number of posters, are:
For Clear Prints: Cost(p) = 2pFor Sue: Cost(p) = 15 + 0.50pb. For what number of posters is the cost the same for both companies?
Solve the system: equate both equations:
2p = 15 + 0.50p2p - 0.50p = 151.50p = 15p = 15/1.50p = 10
Conclusion: For 10 posters the cost is the same for both companies.
c. Which company do you think the class should buy posters from?
It depends on the budget and the number of posters desired.
You can calculate the range in which the cost is lower by one company of the other.
You already know that if you are ordering 10 posts, the cost is the same for both companies.
How much is that cost? Compute Cost (10):
Cost(10) = $2(10) = $20What happens if the number of posters is less or greater than 10.
Solve an inequality:
2p < 15 + 0.50p2p - 0.50p < 151.50p < 15p < 15 /1.50p < 10Hence,
if the number of posters is less than 10 they should use Clear prints, because it costs is lower than Sue's.If the number of posters is equal to 10, the cost is the same with both companiesIf the number of posters is greater than 10 they should select Sue.d. If Ms. Chang’s class has an $18 budget for posters, which company do you think the class should buy posters from?
In this case the decision is driven by the buget.
How may posters can the class order to pay $18?
With Clear Prints:
18 = 2pp = 18 / 2 = 9 postersWith Sue:
18 = 15 + 0.5p0.5p = 18 - 150.5p = 3p = 3 / 0.5p = 6 postersThen, with a budget of $18, the class should buy posters from Clear Print.
e. If Ms. Chang donates an additional $10 for ordering posters, does it impact the decision made?
Repeat the calculations:
For Clear print:
18 + 20 = 2pp = 38 / 2 = 19 postersFor Sue:
18 + 20 = 15 + 0.50p0.50p = 38 - 150.50p = 23p = 23 /0.5 = 46 postersWith a budget of $38 the class can buy more posters from Sue.
What factors influenced your decision?
The budget and the charges are the factors that influence the decision. Once you know the charges from each company, you can calculate the number of posters the class can order from each one, with a given budgent, and then make the best decision (economically speaking).The charges have two components that constitute the total cost: a flat fee (in the case of Sue) and a unit cost (in both cases).
Ben goes to the grocery store at a rate of 7 times a week. How many times would he be expected to
go to the grocery store in 17 weeks?
times
Translate to a proportion:
V
weeks
weeks
times in 17 weeks
Answer:
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Step-by-step explanation:
bfyhh a ryagdh a child with hai tu ki baat nahin hota ha ha bol de mon iPhone and I will send you a Raha tha u y ok bye uy y ok bye y ok Sharjah United Arab and I have written to occur
Final answer:
Ben goes to the grocery store at a rate of 7 times a week. To find out how many times he goes in 17 weeks, you multiply 7 by 17, which equals 119. Therefore, Ben is expected to go to the grocery store 119 times in 17 weeks.
Explanation:
To calculate how many times Ben goes to the grocery store in 17 weeks, given that he goes at a rate of 7 times a week, we need to multiply the number of weeks by the frequency of his visits per week. The calculation is as follows:
Multiply the number of visits per week by the number of weeks: 7 visits/week imes 17 weeks. Perform the multiplication: 7 imes 17 = 119. Therefore, Ben is expected to go to the grocery store 119 times in 17 weeks.
As a proportion, this can be represented as:
V
--- =
weeks
7 times/week
-------------- =
1 week
Which can be scaled up to represent the 17 weeks:
119 times
--------------
17 weeks