Answers
Given the Division:
[tex]420\div10[/tex]You can identify that have to divide 420 by 10. This means that you need to move the Decimal Point 1 place to the left. Notice that, if you do this, you get:
[tex]=42.0[/tex]Notice that now the digit that was placed in the Ones Place, is in the Tenths Place. Therefore, each original digit was shifted one place to the right.
Hence, the answer is:
Related Questions
which part of the aldr braiding expresses 3 + 7 D is the c o e f f i n c i e n t
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the coefficient is the number that accompanies the variable, so:
[tex]3+7D[/tex]The coefficient is 7
Translate to an algebraic expression Twice "a"The translation is ...
Answers
Okay, here we have this:
Considering that twice an amount generally indicates taking two of the things in question; generally this indicates multiplying by 2.
This mean that if we have "twice a" when transferring it to an algebraic expression we obtain: 2a.
HELP PLEASE!!!!!!!!!!! ILL MARK BRAINLIEST
Answers
The rational number between -1/3 and 1/-2 could be; -6 / 18, -6/12.
What are natural numbers, rational numbers, and irrational numbers?Natural numbers are: 1, 2, 3, ..Rational numbers are numbers which can be written in the form of a/b where a and b are integers. Example: 1/2, 3.5 (which is writable as 7/5). Irrational numbers are those real numbers which are not rational numbers.
We are asked to find that rational number between -1/3 and 1/-2.
LCM of 3 and 2
3 x 2 = 6
Then we get;
-1/3 x 6/6 = -6 / 18
1/-2 x 6/6 = -6/12
Hence, the rational number between -1/3 and 1/-2 could be; -6 / 18, -6/12.
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Valerie drives 400 meters up a hill that makes an angle of 20° with thehorizontal. To the nearest tenth of a meter what horizontal distance hasshe covered? A.425.7mt B.375.9mt C.1169.5mt or D.136.8mt
Answers
Given:
Valerie drives 400 meters up a hill that makes an angle of 20° with the horizontal.
To find:
The horizontal distance she has covered.
Solution:
The figure showing the scenario is as follows:
Let the horizontal distance traveled be x meters.
The horizontal distance traveled can be obtained using the trigonometric function cosine.
In the figure,
[tex]\begin{gathered} \cos 20=\frac{x}{400} \\ 0.94=\frac{x}{400} \\ x=400\times0.93969 \\ x=375.877 \end{gathered}[/tex]Thus, the horizontal distance covered is 375.9 ft.
Thus, option B is correct.
in ️RST, RS ~=TR and m
Answers
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
ΔRST
RS ≅ TR
∠ T = 15
∠ S = ?
Step 02:
We must apply the properties of isosceles triangles.
∠ T = ∠ S = 15
The answer is:
∠ S = 15 °
The directions for a weed spray concentrate state that 3 tablespoons of the concentrate should be mixed with 4 gallons of water. How many tablespoons of concentrate need to be mixed with 5 gallons of water?
Answers
The given information is:
- 3 tablespoons of the concentrate should be mixed with 4 gallons of water.
The ratio of tablespoons to gallons of water is:
[tex]\frac{3\text{ tablespoons}}{4\text{ gallons of water}}[/tex]Then, we can apply proportions to find how many tablespoons of concentrate need to be mixed with 5 gallons of water, so:
[tex]\begin{gathered} \frac{3}{4}=\frac{x}{5} \\ Isolate\text{ x} \\ x=\frac{5*3}{4} \\ x=\frac{15}{4} \\ x=3.75\text{ tablespoons} \end{gathered}[/tex]It is needed 3.75 tablespoons of the concentrate.
Point-Slope Form: y + 2 = -7(x − 4)Rewrite the equation in slope-intercept form
Answers
Given the equation of a line in Point-Slope Form:
[tex]y+2=-7(x-4)[/tex]You need to rewrite it in Slope-Intercept Form:
[tex]y=mx+b[/tex]Where "m" is the slope of the line and "b" is the y-intercept.
Then, you have to solve for "y":
1. Apply the Distributive Property on the right side of the equation. Remember the Sign Rules for Multiplication:
[tex]\begin{gathered} +\cdot+=+ \\ -\cdot-=+ \\ -\cdot+=- \\ +\cdot-=- \end{gathered}[/tex]Then:
[tex]y+2=(-7)(x)+(-7)(-4)[/tex][tex]y+2=-7x+28[/tex]2. Apply the Subtraction Property of Equality by subtracting 2 from both sides of the equation:
[tex]y+2-(2)=-7x+28-(2)[/tex][tex]y=-7x+26[/tex]Hence, the answer is:
[tex]y=-7x+26[/tex]Fill in the table using this function rule. y = 2x+4
Answers
The complete table using the given linear equation is x y
-4 -4
-2 0
0 4
2 8
What are linear equations?A linear equation is one that has the form Ax+By=C. This definition comes from mathematics. It consists of two variables combined with a constant value that exists in each of them.
The values of the variables will be obtained when the system of linear equations is solved; this is referred to as the solution of a linear equation.
Given the linear equation y = 2x + 4
If x = -4
y =2(-4) + 4
y = -4
If x = -2
y =2(-2) + 4
y = 0
If x = 0
y =2(0) + 4
y = 4
If x = 2
y =2(2) + 4
y = 8
Hence the complete table using the function is
x y
-4 -4
-2 0
0 4
2 8
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Complete question
Fill in the table using this function rule. y=2x -4
x y
-4 ?
-2 ?
0 ?
2 ?
Rewrite the expression 3(12 - 10) using the distributive property of multiplication over subtraction.
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The resulting expression using the distributive property of multiplication over subtraction is 3(12) - 3(10).
What is distributive property of multiplication?The distributive property of binary operations extends the distributive law, which states that in elementary algebra, equality is always true.
For instance, given the expression;
A(B - C)
We will have to distribute A over B and C to have;
A(B - C) = AB - AC
Applying the rule to the given expression
3 (12 - 10)
3(12) - 3(10)
This shows that the given expression can also be written as 3(12) - 3(10)
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What transformation would cause the change from ABC to A'B'C'?
Answers
Answer:
D. 1/4
Explanation:
When the coordinates of A, B, and C are multiplying by 1/4 we get A', B', and C'.
For example,
[tex]\frac{1}{4}\times A(-8,4)=A^{}(-\frac{8}{4},\frac{4}{4})[/tex][tex]\therefore A(-8,4)\rightarrow A^{\prime}(-2,1)[/tex]The same goes for B and C.
Hence, the transformation that gives us A'B'C' from ABC is Choice D DIlation using k = 1/4.
Can you please help me with 44Please use all 3 forms of the expression such as : down/up. As _,_ And limits
Answers
Answer:
[tex]\begin{gathered} x-\text{intercept}=-3\text{ and 1} \\ y-\text{intercept}=\text{ -9} \end{gathered}[/tex][tex]\begin{gathered} x=1\text{ multiplicity 3} \\ x=-3\text{ multiplicity 2} \\ \lim _{x\rightarrow\infty}(x-1)^3(x+3)^2=\infty \\ \lim _{x\rightarrow-\infty}(x-1)^3(x+3)^2=-\infty \end{gathered}[/tex]Step-by-step explanation:
To find the x-intercepts factor the function to the simplest form:
[tex]h(x)=(x-1)^3(x+3)^2[/tex]As we can see the zeros to the function would be 1 and -3, then its:
[tex]\begin{gathered} x-\text{intercept}=-3\text{ and 1} \\ y-\text{intercept}=\text{ -9} \end{gathered}[/tex]Zero has a "multiplicity", which refers to the number of times that its associated factor appears in the polynomial. Therefore, this function has multiplicity:
[tex]\begin{gathered} x=1\text{ multiplicity 3} \\ x=-3\text{ multiplicity 2} \end{gathered}[/tex]For the end behavior:
down/up
As x approaches infinity f(x) approaches infinity
As x approaches -infinity f(x) approaches -infinity
[tex]\begin{gathered} \lim _{x\rightarrow\infty}(x-1)^3(x+3)^2=\infty \\ \lim _{x\rightarrow-\infty}(x-1)^3(x+3)^2=-\infty \end{gathered}[/tex]the area of a trapezoid is given by the formula A= h(a+b)/2. solve for the formula for b.
Answers
The formula is
[tex]A=\frac{(a+b)\cdot h}{2}[/tex]To solve for b, first, we multiply the equation by 2
[tex]\begin{gathered} 2A=2\cdot\frac{(a+b)\cdot h}{2} \\ 2a=(a+b)\cdot h \end{gathered}[/tex]Then, we divide the equation by h
[tex]\begin{gathered} \frac{2A}{h}=\frac{(a+b)h}{h} \\ \frac{2A}{h}=a+b \end{gathered}[/tex]At last, we subtract a from each side
[tex]\frac{2A}{h}-a=a-a+b[/tex]Hence, the final expression is[tex]b=\frac{2A}{h}-a[/tex]Please help me ASAP I’ll mark brainly
Answers
1. The scholar made a mistake in the last step
where he said x=3.5
SCHOLA DIVIDED 7 BY 2 INSTEAD OF DIVIDING BY 0.5
[tex]0.5x = 7 \\ \frac{0.5x}{0.5} = \frac{7}{0.5} \\ x = 14
AS A RESULTS GOT WRONG ANSWER . x is supposed to be 14.
MOSS 79 grom Volume 10 m
Answers
Mass=79gram
Volume=10ml
density=Mass/Volume
[tex]\text{Density}=\frac{79\text{gram}}{10ml}=7.9\text{ gram/ml}[/tex]11) Describe the number and type of roots for 2x2 + 19x - 33 = 0.[A] 2 real solutions [B] 2 complex solutions [C] 1 real solution[D] 1 complex solution
Answers
Explanation:
The first thing we will do is to solve for x in the equation:
Using factorization method:
The factors are +22 and -3. This because the addition of this number will give you the coefficient of x (19) while the multiplication will give -66
I am canfusing in this question can you solve it.
Answers
Answer:
Step by step explanation:
The three sides of a triangle are n, 4n - 2, and 4n - 7. If the perimeter of the triangle is 45 cm, what is the length of each side? Separate multiple entries with a comma.
Answers
6, 22, 17
ExplanationStep 1: writing the equation
We have a triangle with sides n, 4n - 2, and 4n - 7
We obtain its perimeter if we add all its sides:
n + 4n - 2 + 4n - 7
Since the perimeter is 45 cm, then:
n + 4n - 2 + 4n - 7 = 45
combining like terms:
n + 4n +4n = 9n
and
-2 - 7 = -9
then, we have:
n + 4n - 2 + 4n - 7 = 45
↓
9n - 9 = 45
Step 2: finding n
Now we solve the equation:
9n - 9 = 45
↓ taking -9 to the right
9n - 9 + 9 = 45 + 9
9n = 54
↓ taking 9 to the right
n = 54/9 = 6
Then, n = 6
Step 3: sides measure
Since the measure of the first side is given by n,
then its length is
n = 6
SInce the measure of the second side is given by 4n-2,
then its length is
4n - 2 = 4 · 6 - 2
= 24 - 2
= 22
SInce the measure of the third side is given by 4n - 7,
then its length is
4n - 7 = 4 ·6 - 7
= 24 - 7
= 17
That is why the measures are 6, 22 and 17.
Patrick is responsible for choosing the company his local community group will use for having T-shirts printed. He must choose between Initial Me and Monogram Mania. Both companies charge an initial set-up fee and then charge per T-shirt printed.
The graph shows the cost of purchasing T-shirts from Initial Me and the cost of purchasing T-shirts from Monogram Mania.
Which statements are true about Initial Me and Monogram Mania?
Select each correct answer.
Answers
Step 1:
The initial cost of Initial Me = 50
The initial cost of Monogram Mania = 80
Step 2:
Both Initial Me and Monogram Mania cost the same for 10 T-shirts printed of 130
Step 3:
Monogram Mania charges less per T-shirt printed than Initial Me charges.
The average cost of Monogram Mania is less than that of Initial Me.
Final answer
Monogram Mania charges less per T-shirt printed than Initial Me charges.
320000 in decimal form
Answers
Answer:
320×10³
Step-by-step explanation:
This is the standard form for the number 320000
hope it helps
please mark brainliest
The sum of three consecutive integers is -39. What are the three numbers? Enter your answer as three numbers separated by a comma.
Answers
Answer:
-12, -13, and -14
Explanation:
x, y, and z are the three consecutive numbers and they sum -39, so we can write the following equation
x + y + z = -39
Since these numbers are consecutives, we get
y = x + 1
z = x + 2
So, replacing these equation on the first one and solving for x, we get
x + y + z = -39
x + (x + 1) + (x + 2) = -39
x + x + 1 + x + 2 = -39
3x + 3 = -39
3x + 3 - 3 = -39 -3
3x = -42
3x/3 = -42/3
x = -14
Then, y and z are
y = -14 + 1 = -13
z = -14 + 2 = -12
Therefore, the consecutive numbers are
-12, -13, and -14
Based on your knowfedgs of the two data sets described below, would you espect a scatter plot describing the two data sets to have a positive, a negative, or nocorrelationduration of usage and the charge in the battery of a mobile phone
Answers
We expect the variable to have a negative correlation.
This means that the more we use the phone the lower the charge will be.
what angle is Supplementary to angle 2 and what are the Verticle angles in this picture?
Answers
Suplementary angle = 180° - angle 2
is Angle 1,
because Angle 2 + Angle 1 = 180°
Part 2. Vertical angles are
Angles 2 and 5
Cylinder A has radius r, height h, and a volume of 10 pi cubic units. Cylinder B hastwice the radius and twice the height.hATBWhat is the volume of cylinder B?I2r2h
Answers
Volume of a cylinder:
[tex]V=h*r^2*\pi[/tex]For cylinder A:
[tex]10\pi cm^3=h*r^2*\pi[/tex]For cylinder B:
[tex]V_B=2h*(2r)^2*\pi[/tex]Simplify the equation for volumen of cylinder B:
[tex]\begin{gathered} V_B=2h*4r^2*\pi \\ V_B=8*(h*r^2*\pi) \end{gathered}[/tex]in the equation for the volume of cylinder A you have the value of h*r^2*π:
[tex]\begin{gathered} V_B=8*(10\pi cm^3) \\ V_B=80\pi cm^3 \end{gathered}[/tex]Then, the volume of cylinder B is 80π cubic centimeters.2) Use a graph to find the length of DE if D(4, -3) and E(-5, -7) in pythagoras theorem.
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Use a graph to find the length of DE if D(4, -3) and E(-5, -7) in pythagoras theorem.
we know that
Applying the Pythagorean Theorem
DE^2=DEx^2+DEy^2
DEx -----> is the distance in the x-coordinate
DEy -----> is the distance in the y-coordinate
DEx=(-5-4)=-9 ------> subtract the x-coordinates
DEy=(-7+3)=-4 -----> subtract the y-coordinates
substitute in the formula
DE^2=(-9)^2+(-4)^2
DE^2=97
[tex]DE=\sqrt[]{97}\text{ units}[/tex]c^2=a^2+b^2
c -----> is the distance DE
a ----> horizontal leg
b ----> vertical leg
we have
a=(-5-4)=-9 ------> subtract the x-coordinates
b=(-7+3)=-4 -----> subtract the y-coordinates
substitute
c^2=(-9)^2+(-4)^2
c^2=97
[tex]c=\sqrt[]{97}\text{ units}[/tex]what is the GCF of 6x+18/x^2-x-12
Answers
The GCF of the expression 6x+18/x^2-x-12 is (x+3)
How to find the GCF of the expression?The GCF (Greatest Common Factor) of two or more numbers or expressions is the greatest number or expression among all the common factors of the given numbers or expressions
Given 6x+18/x²-x-12
We can write 6x+18/x²-x-12 as:
6x+18/x²-x-12 = 6x+18/x²-4x+3x-12 By factorization:
= 6(x+3) / (x+3)(x-4)
Since (x+3) is common to both the numerator and the denominator. Therefore, the greatest common factor (GCF) is (x+3)
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What's the equation of the axis of symmetry of g(x)=x^{2}+4 x+3?A) x=0B) x=-2C) x=2D) x=3
Answers
Given a quadratic equation of the form:
[tex]f(x)=ax^2+bx+c[/tex]The equation of the axis of symmetry is obtained using the formula:
[tex]x=-\frac{b}{2a}[/tex]From the given quadratic equation:
[tex]\begin{gathered} g\mleft(x\mright)=x^2+4x+3 \\ a=1 \\ b=4 \end{gathered}[/tex]Therefore, the equation of the axis of symmetry of g(x) is:
[tex]\begin{gathered} x=-\frac{4}{2\times1} \\ x=-2 \end{gathered}[/tex]The correct option is B.
if you're lonely then be lonely with me but I need your help
Answers
Let's use distributive property to simplify:
[tex]-35-5x+2\frac{5}{6}x=0[/tex]Now we add up the x's and take number to another side:
[tex]\begin{gathered} -5x+2\frac{5}{6}x=35 \\ -2\frac{1}{6}x=35 \end{gathered}[/tex]We make 2 and one-sixth into improper fraction and divide to get x:
[tex]\begin{gathered} -\frac{13}{6}x=35 \\ x=\frac{35}{-\frac{13}{6}} \\ x=35\cdot-\frac{6}{13}=-\frac{210}{13} \end{gathered}[/tex]x is "minus 210 over thirteen"
Coffee Shop PricesCup CostSmall $2Regular $4Large $5David and Jon are placing coffee orders for their friends.David orders 10 large cups of coffee. Jon orders 4 fewer large cups than David. Jon pays for his orders with a $50 bill.Jon wants to know how much he spent on coffee.What is a good plan to find the amount Jon spent on coffee?3rd grade student
Answers
Step 1:
Cost of large cup = $5
Step 2:
Number of large David orders = 10 cups
A good plan to find the amount Jon spent is to find the number of large cups Jon orders from the number of large cups David orders.
Jon order 4 fewer large cups
Therefore,
Jon order = 6 cups
Step 3:
A good plan to find the amount Jon spent is to find the number of large cups Jon orders from the number of large cups David orders.
The amount Jon spent on coffee = 6 x $5 = $30
There is $1.90 in a jar filled with quarters, dimes, and nickels. There are 2 more quarters than dimes and there are 2 more nickels than quarters. How many of each coin are there? quarters dimes [ ) nickels Enter the number that belongs in the green box.
Answers
5 quarters, 3 dimes, 7 nickels
Explanations:Let the number of quarters in the jar = q
Let the number of dimes in the jar = d
Let the number of nickels in the jar = n
1 quarter = $0.25
1 dime = $0.1
1 nickel = $0.05
The jar is filled with quarters, dimes, and nickels, totaling $1.90
This can be represented mathematically as:
0.25q + 0.1d + 0.05n = 1.90.........(1)
There are two more quarters than dime:
q = d + 2..............(2)
There are two more nickels than quarters
n = q + 2..............(3)
make d the subject of the formula in equation (2)
d = q - 2............(4)
Substitute equations (3) and (4) into equation (1)
0.25q + 0.1(q - 2) + 0.05(q + 2) = 1.90
0.25q + 0.1q + 0.05q - 0.2 + 0.1 = 1.90
0.4q - 0.1 = 1.90
0.4q = 1.90 + 0.1
0.4q = 2.0
q = 2.0/0.4
q = 5
n = q + 2
n = 5 + 2
n = 7
d = q - 2
d = 5 - 2
d = 3
There are 5 quarters, 3 dimes, 7 nickels
A regular hexagon has sides 2 feet long. What is the exact area of the hexagon? What is the approximate area of the hexagon?
Answers
The formula for the area of a hexagon is
[tex]A=\frac{3\sqrt[]{3}}{2}s^2[/tex]where 's' is the length of one side of the regular hexagon.
The side of our regular hexagon is 2 feet, therefore, its area is
[tex]\begin{gathered} A=\frac{3\sqrt[]{3}}{2}\cdot(2)^2=6\sqrt[]{3} \\ 6\sqrt[]{3}=10.3923048454\ldots\approx10 \end{gathered}[/tex]The exact area of the hexagon is 6√3 ft², which is approximately 10 ft².