A digit to make the number divisible by 3 is by adding the digit 2 to the number 1234.
To make the number 1234 divisible by 3, we can find the sum of its digits and determine if it is divisible by 3. If the sum of the digits is divisible by 3, then the original number is also divisible by 3.
Let's calculate the sum of the digits in 1234:
1 + 2 + 3 + 4 = 10
The sum of the digits is 10. Since 10 is not divisible by 3, we need to add or subtract a digit to make the sum divisible by 3.
To find the digit we need to add or subtract, we can use the fact that the difference between the original sum and the next multiple of 3 is the required digit.
The next multiple of 3 greater than 10 is 12 (12 - 10 = 2). Therefore, we need to add 2 to the number 1234 to make it divisible by 3.
1234 + 2 = 1236
we obtain the number 1236, which is divisible by 3.
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HELP MEEEEEEEEEEEEEEEEEEEEE PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: 7.9
Step-by-step explanation:
\(P=2000, r=0.09, n=2\\\\4000=2000\left(1+\frac{0.09}{2} \right)^{2t}\\\\4000=2000(1.045)^{2t}\\\\2=1.045^{2t}\\\\\log_{1.045} 2=2t\\\\t=\frac{\log_{1.045} 2}{2}\\\\t \approx 7.9\)
Bonjour, connaissez vous une app ou on peut manipuler des elastiques j'en ai besoin. Merci!
Answer:
Wow sup Comment allez-vous, je suis là pour vous aider à essayer cette application, je ne suis pas vraiment sûr de ce que vous entendez par " Rubber Band App " Mais je pense que cela pourrait aider à l'essayer Exercices de bande de résistance
Question 2 (15 points )
Determine the scale factor from circle A to circle B.
O
Scale factor =
B
30
Thus, the scale factor from circle A to circle B is found to be 2.
Explain about the scale factor:The ratio between comparable measurements of just an element and a portrayal of that element is known as a scale factor in mathematics. The copy will be larger if the scaling factor is a whole number. A fractional scaling factor means that the duplicate will be smaller.
You must first choose which direction we are scaling in order to determine the scale factor:
Scale Up = larger measurement / smaller measurement (smaller to larger).Smaller measurement equals greater measurement when scaling down.The radius of circle A = 2 units
The radius of circle B = 4 units.
So, there is a dilation with the scale factor of 2 units as 2*2 = 4 units.
Thus, the scale factor from circle A to circle B is found to be 2.
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Which algebraic rule describes the translation of quadrilateral ABCD to quadrilateral A’B’C’D?
The algebraic rule that best describes the translation of quadrilateral ABCD to quadrilateral A'B'C'D' is P'(x, y) = (x + 8, y + 7). (Correct answer: A)
How to determine the translation of a quadrilateral on a Cartesian plane
According to the image attached we understand that the quadrilateral ABCD is transformed into quadrilateral A'B'C'D' by applying pure translation. Translations are a kind of rigid transformation, defined as a transformation applied on a geometric locus such that Euclidean distance is conserved at every point of the construction.
Vectorially speaking, translations are described by the following formula:
P'(x, y) = P(x, y) + T(x, y) (1)
Where:
P(x, y) - Original pointP'(x, y) - Resulting pointT(x, y) - Translation vector.By direct comparison, we conclude that the quadrilateral ABCD is translated 8 units in the +x direction and 7 units in the +y direction. Hence, the algebraic rule that describes the translation of quadrilateral ABCD to quadrilateral A'B'C'D' is:
P'(x, y) = (x, y) + (8, 7)
P'(x, y) = (x + 8, y + 7)
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Employees of the store in the example wear shirts with the logo on the back. The scale from the original logo in inches to the shirt in inches is 1:8. What is the area of the logo on their shirts.
Answer:
72 in²Step-by-step explanation:
The original logo is a triangle and has dimensions of
1.5 in x 1.5 inThe scale factor is
Original to shirt = 1:8Area of the logo on shirts
A = 1/2bh A = 1/2*(1.5*8)(1.5*8) =72 in²Which number is equivalent to 16 to the power of 1/2 ?
A
2
B
4
C
8
D
32
Answer:
4
Step-by-step explanation:
THE CORRECT ANSWER IS B
Answer: B is the Answer
Step-by-step explanation: 16 ^ 1/2 = 4
The ratio of cars to people is 1 to 4 1/2
write as a reduced fraction
Answer:
\(1 : 4\frac{1}{2} \\ = 1 : \frac{9}{2} \\ = \frac{1}{ \frac{9}{2} } \\ = \frac{2}{9} \)
an airport measures the check-in waiting time for people on a certain flight. The times ( in minutes) for 14 passengers are given below. Determine the class width for a grouped data frequency table using 4 classes. 13,18,21,21,24,25,26,28,30,30,30,34,35,38
The formula for class width is
\(class\text{ width=}\frac{Maximumvalue−Minimumvalue}{n}\)Where,
Minimum value = 13
Maximum value = 38
n = 4
\(class\text{ width=}\frac{38-13}{4}=\frac{25}{4}=6.25\)Hence, the class width will be 7 since the next whole number after 6.25 is 7.
find the size of each interior angle of a regular hexagon
Answer:
Each interior angle = 180° -60° = 120°
Step-by-step explanation: We know that the three angles in a triangle, add up to 180°, and all the three angles are 60° in an equilateral triangle. The total number of angles of an enclosed space is 180° (n-2) where in is the number of sides.
A hexagon has six sides, so: s= 180° (6-2)
s= 180° x 4
s= 720°
now since in a regular shape, each interior angle is equal. We just divide the total interior angle with a number of sides
6.
720° divided by 6 is equal to 120°
Find the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0)
The value of x that makes the line containing (1,2) and (5,3) perpendicular to the line containing (x,4) and (3,0) is x = 2.
To determine the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0), we need to find the slope of both lines and apply the concept of perpendicular lines.
The slope of a line can be found using the formula:
slope = (change in y) / (change in x)
For the line containing (1,2) and (5,3), the slope is:
slope1 = (3 - 2) / (5 - 1) = 1 / 4
To find the slope of the line containing (x,4) and (3,0), we use the same formula:
slope2 = (0 - 4) / (3 - x) = -4 / (3 - x)
Perpendicular lines have slopes that are negative reciprocals of each other. In other words, if the slope of one line is m, then the slope of a line perpendicular to it is -1/m.
So, we can set up the equation:
-1 / (1/4) = -4 / (3 - x)
Simplifying this equation:
-4 = -4 / (3 - x)
To remove the fraction, we can multiply both sides by (3 - x):
-4(3 - x) = -4
Expanding and simplifying:
-12 + 4x = -4
Adding 12 to both sides:
4x = 8
Dividing both sides by 4:
x = 2
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If x²+ y²= 80 and xy = 12, find the value of (x - y)².
\((x-y)^2\\\\=x^2+y^2 -2xy\\\\=80-2(12)\\\\=80-24\\\\=56\)
Each side length of a triangle is 4 cm. What type of triangle is it?
☐ right
□acute
Equilateral
Isosceles
Answer: Equilateral
Step-by-step explanation:
It's equilateral because it says that each side of the triangle is 4cm. In simple words, all the sides of triangle are equal. Such a triangle is called an equilateral triangle.
Hope you understood.
Find the Prime Factorization of 72.
A. 23 x 9
B. 22 x 18
C. 22 x 33
D. 23 x 32
Three numbers sum to 117. The second number is 10 less than the first. The third number is 2 more than half the first. What are the three numbers?
Answer:
Step-by-step explanation:
The three numbers are 50, 40, and 27.
We can solve this equation by setting up a system of equations.
Let x be the first number, y be the second number, and z be the third number.
x + y + z = 117
y = x - 10
z = (1/2)x + 2
Substituting the equation for y into the first equation, we get:
x + (x - 10) + (1/2)x + 2 = 117
2x - 8 = 117
2x = 125
x = 62.5
Substituting this value of x into the other equations, we get:
y = x - 10 = 62.5 - 10 = 52
z = (1/2)x + 2 = (1/2)62.5 + 2 = 32.5 + 2 = 34.5
Rounding these values, the three numbers are 50, 40, and 27.
Urgent please help thank you all
is y=mx+b a rational function?
Answer: A rational function is a function that is a fraction and has the property that both its numerator and denominator are polynomials.
Step-by-step explanation:
f(x) = x² - 4 and g(x)= x^2 + 1 are sketched 10.1.2 Determine the length of DB .
x⁴ - 8x² + 17 is the function that represents the fog(x).
To find fog(x), we first need to find g(f(x)), which means we need to substitute the expression for f(x) into the expression for g(x):
g(f(x)) = g(x² - 4)
Now, we can substitute the expression for g(x) into the above expression:
g(f(x)) = (x² - 4)² + 1
Expanding the squared term, we get:
g(f(x)) = x⁴ - 8x² + 17
Therefore, fog(x) = g(f(x)) = x⁴ - 8x² + 17.
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Complete question:
f(x) = x² - 4 and g(x)= x^2 + 1 find fog(x).
what is the factorization of the polynomial x^2 - 5x -36
Answer:
(x+4)x(x-9)
Step-by-step explanation:
x^2 - 5x -36
x^2 +4x-9x-36
x (times) (x+4)-9x-36
x x (x+4)-9(x+4)
(x+4)x(x-9)
Step-by-step explanation:
hope it is helpful to you
What is the equation of the line that passes through the point (4,0) and has a slope of 5/4
Answer:
The answer is y=5/4x-5
Step-by-step explanation:
The required equation of the line that goes through the point (4, 0) and has a slope of 5/4 is y = 5/4x - 5.
What is the intercept in the equation?In the equation intercept is the value of the linear function where either of the variables is zero.
The equation of a line with slope m and passing through the point (x₁, y₁) can be found using the point-slope formula:
y - y₁ = m (x - x₁)
Plugging in m = 5/4, x₁ = 4, and y₁ = 0, we get:
y - (0) = 5/4 (x - (4))
Simplifying, we get:
y = 5/4x - 5
Thus, the equation of the line is y = 5/4x - 5
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Which of the following best describes the use of the formula S = (n- 2)180°,
where n is the number of sides?
Answer:
It is used to find the sum of the interior angles in a regular polygon.
Step-by-step explanation:
We started with five gallons of an orange drink that was 90% water and 10% syrup. We added 1 gallon of concentrate and ended up with a resulting mixture that was 86% water and 14% syrup. Determine what percent of the concentrate was water and what percent was syrup.
Answer:
The gallon of concentrate was 66% water and 34% syrup.
Step-by-step explanation:
- The first thing is to know how much water and how much syrup have the 5 gallons.
90% water and 10% syrup.
- If we have 5 gallons with the same percentages then:
Where X is the percentage that we do not know.
(90 + 90 + 90+ 90 + 90 + X) / 6 = 86
(90 + 90 + 90+ 90 + 90 + X) = 516
X = 66
The answer is 66% water in the gallon added.
Example: Divide 3 loaves between 5 people First, divide two of the loaves into thirds... each person gets one third each, with one third left over Then divide the left-over third from the second loaf into fifths So, each person gets: 1/5 and the third loaf into fifths each person gets one fifth each each person gets a slice (one fifteenth) 1/15 3/5 The Egyptians used the approximated process to work on the area of a circle as shown in the picture. 1.4 Show the representation of the fractions on the second row. (2) 1.5 Show the algorithm/abstract strategy to justify the 3/5 found as the answer. (3)
The algorithm justifies the answer of 3/5 as the fraction each person gets.
Representation of the fractions on the second row:
From what you described, two of the loaves were divided into thirds.
This means each person receives one third, and there is one third remaining. Then, this remaining third from the second loaf was further divided into fifths.
Therefore, each person receives one fifth from this remaining third.
So, the representation of the fractions on the second row would be:
Each person receives 1/3 (one third) from the two loaves.
Each person receives 1/5 (one fifth) from the remaining third.
Algorithm/Abstract strategy to justify the 3/5 found as the answer:
To find the final answer of 3/5, we can follow the steps you provided:
Divide two loaves into thirds, giving each person 1/3.
Divide the remaining third from the second loaf into fifths, giving each person 1/5.
Combining the fractions, each person has 1/3 + 1/5.
To add these fractions, we need to find a common denominator. In this case, the least common multiple (LCM) of 3 and 5 is 15. We can convert 1/3 and 1/5 to have a denominator of 15:
1/3 = 5/15 (multiplying numerator and denominator by 5)
1/5 = 3/15 (multiplying numerator and denominator by 3)
Now, we can add the fractions:
5/15 + 3/15 = 8/15
Therefore, each person receives 8/15 of a loaf.
Simplifying this fraction, we get 3/5.
Hence, the algorithm justifies the answer of 3/5 as the fraction each person gets.
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In a pre algebra class containing 43 students, there are 4 freshman, 35 sophomores, and 4 juniors. what fraction of the class are sophomores
The fraction of the class that is sophomores is \(35/43\).
The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.
Number of sophomores = 35
Total number of students = 43
Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)
Fraction of sophomores \(= 35 / 43\)
Therefore, the fraction of the class that are sophomores is = \(35/43\).
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Match each unit rate to its ratio
Answer:
Step-by-step explanation:
Left side: Right side:
1 = 4
2 = 3
3 = 1
4 = 2
Write the word sentence as an equation. Solve.
A number c is 7 greater than twice a number b.
Answer:
Could you provide more details?
Thanks!
Step-by-step explanation:
Answer:
c=7+2b
Step-by-step explanation:
please help with number 13 !
Answer:
Look at Attached image.
Step-by-step explanation:
Shade 3/10 in the column then 9/10 in the row.
The answer is how much is cross shaded with both colors.
Here , we are given with a square which has 100 small squares in it , now we have to use two colours to represent 0.3 × 0.9 on it . So , now let's proceed :-
\({:\implies \quad \sf \dfrac{3}{10}\times \dfrac{9}{10}}\)
\({:\implies \quad \sf \dfrac{27}{100}}\)
Now , here , we have to colour 27 boxes with a colour and the left (100-27) = 73 boxes with another colour . Colour can be any of your choice
Refer to the attachment for better understanding too :D
A mover places a cylindrical container on a dolly, as shown. Calculate the angle of elevation, U,
from the base of the dolly to the ground.
A. 52.0°
B. 38.0°
C. 38.6°
D. 51.4°
Check the picture below.
\(\sin( \theta )=\cfrac{\stackrel{opposite}{0.5}}{\underset{hypotenuse}{0.64}} \implies \sin^{-1}(~~\sin( \theta )~~) =\sin^{-1}\left( \cfrac{0.5}{0.64} \right) \\\\\\ \theta =\sin^{-1}\left( \cfrac{0.5}{0.64} \right)\implies \theta \approx 51.4^o\)
Make sure your calculator is in Degree mode.
in the coordinate plane, the vertices of triangle PAT are P(-1,-6), A(-4,5), and T(5,-2). Prove that PAT is an isosceles triangle.
In the coordinate plane, the vertices of triangle PAT are P(-1,-6), A(-4,5), and T(5,-2) forms an isosceles triangle.
To prove that triangle PAT is an isosceles triangle, we need to show that at least two sides of the triangle are congruent.
Let's calculate the distances between the vertices:
Distance between P and A:
PA = √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(-4 - (-1))² + (5 - (-6))²]
= √[9 + 121]
= √130
Distance between P and T:
PT = √[(5 - (-1))² + (-2 - (-6))²]
= √[(5 + 1)² + (-2 + 6)²]
= √[36 + 16]
= √52
= 2√13
Distance between A and T:
AT = √[(5 - (-4))² + (-2 - 5)²]
= √[(5 + 4)² + (-2 - 5)²]
= √130
We can see that PA = AT = √130, and PT = 2√13.
Since PA = AT, we have shown that two sides of the triangle are congruent.
Therefore, triangle PAT is an isosceles triangle.
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2 ln x2 = 8
Solve for x
Answer:
X=4
Step-by-step explanation:
2x4=8 or 8/2
Melissa is going shopping. She has no more than $55.00 to spend on
new clothes. She wants to buy a pair of pants for $19.95 and some t-
shirts that cost $9.50 each.
Write an inequality and solve it for the number of shirts that Melissa
can buy.
Answer:
55 - 19.95 = 35.05
35.05 > 28.50
she can buy 3 shirts and one pair of pants
Step-by-step explanation: