Answer: 1/5
Step-by-step explanation:
write the equation of the circle with a center at ( 2, -4 ) and a radius of 4
[tex]\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{2}{ h},\stackrel{-4}{ k})\qquad \qquad radius=\stackrel{4}{ r} \\\\\\\ [x-2]^2~~ + ~~[y-(-4)]^2~~ = ~~4^2\implies (x-2)^2~~ + ~~(y+4)^2~~ = ~~16[/tex]
Mary reduced the size of a painting to a
width of 5.4 in. What is the new height if it
was originally 46.5 in height and 32.7 in width?
Round to nearest tenth of an inch.
By finding the scale factor as a quotient of the two given widths, we will see that the new height is 7.7 in
How to get the new height?
We assume that the height and the width are reduced by the same scale factor.
Such that the scale factor is given by the quotient between the new width and the original width, so we have:
k = 5.4in/32.7in = 0.1651
Then the new height will be the original height times the above number, which gives:
H = 0.1651*46.5 in = 7.7 in
We conclude that the new height of the painting is 7.7 inches.
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I will give Brainliest!!!
A savings account was opened and not touched for 4 years. The amount of money in the account grew by a consistent percentage at the end of each year. Complete the missing values in the table.
HELP MEEEEE THIS IS DUE IN 2 HOURSSS
When x^2 + bx + 2 is divided by
X + 3, the remainder is 5. find the value of b
Answer:
b = 2
Step-by-step explanation:
Let f(x) = x² + bx + 2,
[tex]f( - 3) = 5 \\ {( - 3)}^{2} - 3b + 2 = 5 \\ 11 - 3b = 5 \\ 3b = 6 \\ b = 2[/tex]
1/2 ÷ (-1/7) Answer in a mixed number
[tex]\sf{-3\displaystyle\frac{1}{2} }[/tex]
Solution:First, we need to flop the second fraction over.Then, we need to multiply the first fraction times the second fraction.In order to multiply fractions, we need to multiply the numerator of the first fraction times the numerator of the second fraction:[tex]\displaystyle\frac{1}{2} *-\frac{7}{1}[/tex][tex]-\displaystyle\frac{7}{2}[/tex]Now, let's convert the improper fraction into a mixed number.First, how many times does 2 go into 7? (evenly)The answer is 3.Now, multiply 3 times 2. We get 6.Subtract 7-6. We get 1.The denominator stays the same.Therefore, the answer is[tex]-3\displaystyle\frac{1}{2}[/tex]Hope it helps.
Do comment if you have any query.
Step-by-step explanation:
[tex] = \frac{1}{2} \div ( - \frac { 1}{7}) \\ [/tex]
Move the ( - ) sign forward
[tex] = - \frac{1}{2} \div \frac{1}{7} \\ [/tex]
[tex] = - \frac{1}{2} \times \frac{7}{1} \\ [/tex]
[tex] = - \frac{7}{2} \\ [/tex]
What is 5/21 expressed as a decimal?
0.238095⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯
0.238095⎯⎯⎯⎯⎯⎯
0.238095⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯
0.238095
TIMED PLEASE HELP!
Determine the equation of the line for the given information: Two points on the line are (0, 4) and (7, 18). Use the points to first determine the slope and y-intercept. Then write the equation of the line. a. m = 2; y intercept = (0, 4); y = 2 x + 4 b. m = negative 2; y intercept = (0, 4); y = negative 2 x + 4 c. m = negative 2; y intercept = (4, 0); y = negative 2 x + 4 d. m = 2; y intercept = (0, 4); y = 4 x + 2
Answer:
"Answer: A. m=2;y-int=(0,4);y=2x+4
Step-by-step explanation: I just finished the practice on edge and went back to check the answer. It's 100% correct, swear"
Step-by-step explanation:
Found this on Brainly, hope it helps? :)
Work out the sheet here
164
to find:the unknown angle x.
solution:angle at a point= 360°
x= 360 - ( 164 + 90) (because that's a right angle)
x= 360 - 254
x= 106°
Is the line y = 3x - 7 parallel or perpendicular to 3x + 9y
= 9? Explain your answer.
Answer:
Perpendicular
Step-by-step explanation:
Simplify 3x+9y=9 to 9y=-3x+9 and then to y=-1/3x+1
y=3x-7
and
y=-1/3x+1, 3 and -1/3 are negative reciprocals which makes these equations perpendicular.
2) What type of equation is compound interest formula?
a)logarithmic
b)polynomial
c)exponential
d)linear
e) none of the choices
A compound interest formula is a type of exponential equation. That is option C
What are exponential equations?Exponential equations are those equations that has their variables as exponents. A typical example of this type of equation is the compound interest formula.
The compound interest formula is an exponential equation because the little sum invested as capital, once the interest is added, the balance will earn more capital during the next compounding period.
Therefore, a compound interest formula is a type of exponential equation.
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What type of sequence is shown: 120, 12, 1.2, 0.12
Answer: divide by 10
Step-by-step explanation: you divide the previous number by 10 to get the next number
It has taken me 32 minutes to drive 48 km. If the total length of my journey is 146 km and I
maintain the same speed, estimate how much longer I will be driving for.
2, 7, 14, 23, ?, 47
Answer:
34 is the missing number
Step-by-step explanation:
hope this helps:))
-A rectangle tank has a length of 3m a breadth of 2m and a height of 8m what volume of water in the tank is half full
Answer:
24 [tex]m^{3}[/tex]
Step-by-step explanation:
Volume=l*b*h
as tank is half full so height of water will be 4m
and Voulme will be,
V=3*2*4=24 [tex]m^{3}[/tex]
while capacity of tank is,
V=3*2*8=48 [tex]m^{3}[/tex]
The volume of water in the tank, when it is half full, is 24 cubic meters.
What is volume?Volume in mathematics and physics refers to how much three-dimensional space is occupied by a substance or an object. It is a measurement of the overall volume of space contained inside a three-dimensional object's limits.
The volume of the rectangular tank is given by the formula:
V = l x b x h
where l is the length, b is the breadth, and h is the height of the tank.
Substituting the given values, we get:
V = 3m x 2m x 8m = 48 cubic meters
If the tank is half full, then the volume of water in the tank is:
Vw = (1/2) * V = (1/2) x 48 = 24 cubic meters
Therefore, the volume of water in the tank when it is half full is 24 cubic meters.
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PLEASE HELP!!!
Triangle DEF is similar to triangle ABC. What is the sequence of transformations that maps triangle ABC to DEF?
The sequence that maps ΔABC to ΔDEF are represented by three transformations: a horizontal and vertical translation and a counterclockwise rotation.
What transformations have been done to a obtain a resulting triangle?
According to Euclidean geometry, a transformation is rigid if and only if Euclidean distances are conserved for every point of the figure. It is to be noticed that there is more than one manner to obtain the resulting figure.
After a careful inspection both on the statement and on the figure, we conclude that the following sequence of transformations:
Translation of 2 units in the -x direction.Translation of 2 units in the -y direction.Rotation around the point D of 0.5π counterclockwise.To learn more on rigid transformations, we kindly invite to check this verified question: https://brainly.com/question/1761538
The sum of, half of a number and double the number is 20. Find the number.
Answer:
The number is 8.
Step-by-step explanation:
Rewrite the word problem as an equation.
The sum of (we will be adding.), half of a number (we can use x, this will be written as x/2.) and double the number (this will be written as 2x) is 20.
To find the number, solve the equation.
x/2 + 2x = 20
Multiply both sides by 2.
x + 4x = 40
Combine terms.
5x = 40
Divide both sides.
x = 8.
Answer:
i think 8 is the answer
Step-by-step explanation:
i am sorry if i am worng
A photograph has a length that is 6 inches longer than its width,x. So it's area is given by the expression x(x+6) square inches.
Answer:
The width of the photograph is 8 inches
Step-by-step explanation:
hopefully im right
write A number in each box that would create an equation that has an infinite number of solutions
4(3x+6)-x=_____x+_____
[tex]\huge\text{Hey there!}[/tex]
[tex]\\\large\text{ORIGINAL EQUATION: }\\\mathsf{4(3x + 6) - x}\\\large\text{DISTRIBUTE 4 WITHIN the PARENTHESES}\\\mathsf{\rightarrow 4(3x) + 4(6) - x}\\\mathsf{\rightarrow 12x + 24 - x}\\\large\text{COMBINE the LIKE TERMS}\\\mathsf{\rightarrow 12x + 24 - 1x}\\\mathsf{\rightarrow 11x + 24}\\\\\\\huge\text{Therefore, your answer: \boxed{\mathsf{11\bold{x} + 24}}}[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]What is the area of the following figure?
35 mm 2
3 mm 2
75 mm 2
105 mm 2
Answer: [tex]75mm^2[/tex]
Step-by-step explanation:
The formula for the area of a paralellogram is:
bh=a
Where
b is the base (15 for this)
h is the height (5 for this)
and a is the area
Let's sub our values into the formula
[tex]bh=a\\(15)(5)=a[/tex]
Now solve
[tex](15)(5)=a\\75=a[/tex]
True or false -if the measure of an acute angle is x then its completely angle is (90 - x)
Answer:
False
Step-by-step explanation:
The measure of an acute angle is less than 90°
Here is the question
The value that would be obtained using the 5 midpoint rectangles of equal width to estimate the given Integral is; 33/100
How to partition integral?First of all, let us partition the interval [0, 1] as;
[0, 1/5] ∪ [1/5, 2/5] ∪ [2/5, 3/5] ∪ [3/5, 4/5] ∪ [4/5, 5]
Thus, the midpoints of the intervals which are the sample points are, respectively;
1/10, 3/10, 1/2, 7/10, 9/10
The integral is approximated by;
(0,1)∫x² dx = (5, n=1)Σf(x_n) Δx
where Δx is the difference between the partition endpoints, i.e.
Δx = (1 - 0)/5 = 1/5
and x_n is the midpoint of the nth partition.
Thus, we have;
(5, n=1)Σf(x_n) Δx = (1/5)[(1/10)² + (3/10)² + (1/2)² + (7/10)² + (9/10)²] = 33/100
Read more about integral partition at; https://brainly.com/question/9043837
my sis needs help asap
Answer:
B. 7
Step-by-step explanation:
7 × n = 42 + 7
7n = 49
n = 49/7
n = 7
______
Hope it helps ⚜
[tex]7 \times n = 42 + 7[/tex]
to find:what the "n" represents
solution:[tex]7 \times n = 42 + 7[/tex]
[tex]7 \times n = 49[/tex]
[tex]n = \frac{49}{7} [/tex]
[tex]n = 7[/tex]
therefore, "n" represents 7.
answer= option B
answer? i give brainlist
Answer:
Scale factor of 3
please hurry
Rectangle A'B'C'D is a dilation of rectangle ABCD What is the scale factor? Enter your answer in the box.
The scale factor is 4
A train travels 41 kilometers in 35 min. What is the speed in kilometers per hour ?
Step-by-step explanation:
[tex]distance = 41km[/tex]
[tex]time = 35min = \frac{35}{60} hr[/tex]
[tex]speed = \frac{distance}{time} [/tex]
[tex]speed = \frac{41}{ \frac{35}{60} } [/tex]
[tex]speed = \frac{41 \times 60}{35} [/tex]
[tex]speed = 70.286 \: or \: 70.3km\hr[/tex]
write a linear equation in slope-intercept form. m=-3 and contains (0,2)
y=-3x-2
Solution:We have a point that the line passes through and its slope.Since the point has an x-coordinate of 0, this point is the line's y-intercept (2)Slope-intercept form: y=mx+bm -> slopeb -> y-interceptPlug in the values:y=-3x-2Hope it helps.
Do comment if you have any query.
Answer:
[tex]\Longrightarrow: \boxed{\sf{y=-3x+2}}[/tex]
Step-by-step explanation:
The slope-intercept form is used to write linear equations.
Slope-intercept form:
[tex]\Longrightarrow: \sf{y=mx+b}[/tex]
The m represents the slope.
The b represents the y-intercept.
The slope is -3.
The y-intercept is 2.
(0,2)x1=0y1=2y=-3x+2
Therefore, the slope-intercept form is y=-3x+2, which is our answer.I hope this helps! Let me know if you have any questions.
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Answer:
Hope it helps you......
pls help me worth 50 points + brainliest
(i only can give brainliest if 2 PEOPLE answer)
Answer:
The answer would be four dresses.
Step-by-step explanation:
Step 1. Do 16 divided by 3.67
Step 2. Get the answer of 4.53...
Step 3. Round down because it's the number of whole dresses
Step 4. Get the answer of 4.
Hope this helps! Btw, I don't need Brainliest if the other person wants it.
Answer:
They can make 4 dresses
Step-by-step explanation:
Since it is 3.6667 yards per dress, and the amount they have is 16 yards, divide the amount they have by number of yards per dress to get slightly over 4. Since you can't make a percent of a dress, the answer would be 4.
What is the value of x in the equation
[tex] - \frac{2}{9} x = \frac{2}{5} [/tex]
Answer:
x = -1.8
Step-by-step explanation:
Given equation:
[tex]-\dfrac{2}{9} x = \dfrac{2}{5}[/tex]
Part I: Cancel the numerators in the equation (a/d = a/f ⇔ 1/d = 1/f)
[tex]\implies -\dfrac{2}{9} x = \dfrac{2}{5}[/tex]
[tex]\implies -\dfrac{1}{9} x = \dfrac{1}{5}[/tex]
Part II: Use cross multiplication (a/b = c/d ⇔ a × d = b × c) and simplify:
[tex]\implies -\dfrac{1}{9} x = \dfrac{1}{5}[/tex]
[tex]\implies -({x \times 5) = {1 \times 9}[/tex]
[tex]\implies -5x = 9[/tex]
Part III: Divide -5 to both sides of the equation:
[tex]\implies\dfrac{-5x }{-5} = \dfrac{9}{-5}[/tex]
[tex]\implies \boxed{x= \dfrac{9}{-5} = \dfrac{-9}{5} = -1.8}[/tex]
Therefore, the solution is [tex]x = -1.8[/tex].
Answer:
[tex] x = -\dfrac{9}{5} [/tex]
Step-by-step explanation:
[tex] -\dfrac{2}{9}x = \dfrac{2}{5} [/tex]
Multiply both sides by the reciprocal of -2/9 which is -9/2.
[tex] -\dfrac{9}{2} \times (-\dfrac{2}{9})x = -\dfrac{9}{2} \times \dfrac{2}{5} [/tex]
[tex] x = -\dfrac{18}{10} [/tex]
[tex] x = -\dfrac{9}{5} [/tex]