Answer: 58
Step-by-step explanation:
1st step: Start by setting it up with the divisor 4 on the left side and the dividend 232
2nd step: The divisor (4) goes into the first digit of the dividend (2), 0 time(s). Therefore, put 0 on top:
3rd step: Multiply the divisor by the result in the previous step (4 x 0 = 0) and write that answer below the dividend.
4th step: Subtract the result in the previous step from the first digit of the dividend (2 - 0 = 2) and write the answer below.Move down the 2nd digit of the dividend (3)
5th step: The divisor (4) goes into the bottom number (23), 5 time(s). Therefore, put 5 on top
6th step: Multiply the divisor by the result in the previous step (4 x 5 = 20) and write that answer at the bottom. Subtract the result in the previous step from the number written above it. (23 - 20 = 3) and write the answer at the bottom.
7th step: Move down the last digit of the dividend (2). The divisor (4) goes into the bottom number (32), 8 time(s). Therefore put 8 on top
8th step:Multiply the divisor by the result in the previous step (4 x 8 = 32) and write the answer at the bottom. Then Subtract the result in the previous step from the number written above it. (32 - 32 = 0) and write the answer at the bottom.
Therefore, the answer to 232 divided by 4 is by using long division
The required quotient is 58.
Given that 232 ÷ 4.
The long division states that divident = divisor × quotient + remainder.
Let a and b be any real numbers. Consider a ÷ b gives a = b × q + r, that implies q is quotient and r is remainder such that 0 [tex]\leq[/tex] r [tex]\leq[/tex] b.
That implies,
[tex]\begin{array}{ccc}4)&232&(58\\_-&20\\&32&\\_-&32&\\&00&\end{array}[/tex]
Therefore, the required quotient is 58.
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A family paid $29,600 as a down payment for a home. If this represents 16% of the price of the home, find the price of the home.
Answer:
$185,000
Step-by-step explanation:
29600 / 16 = 1850 (which is 1%)....1850 X 100% = $185,000.
Solve for Y
4x – 5y = -20
Answer:
y=4
Step-by-step explanation:
I'm a little rusty at this but y=4 should be the correct answer.
Hope this helps!
Matt runs in the park every day at the average rate of c meters per minute.
Today Matt ran at triple his usual speed. What was his speed today?
If you get it correct you will get 5 stars aa thanks a friends request and a brainliest and 50 points
Hello people ~
plot the graph of y=cos x
Step-by-step explanation:
[tex]\displaystyle \boxed {y = sin\:(x + \frac{\pi}{2})} \\ y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{\pi}{2}} \hookrightarrow \frac{-\frac{\pi}{2}}{1} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{2}{1}\pi \\ Amplitude \hookrightarrow 1[/tex]
OR
[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{2}{1}\pi \\ Amplitude \hookrightarrow 1[/tex]
You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the cosine graph, if you plan on writing your equation as a function of sine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = sin\:x,[/tex]in which you need to replase "cosine" with "sine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the cosine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the sine graph [photograph on the right] is shifted [tex]\displaystyle \frac{\pi}{2}\:unit[/tex]to the right, which means that in order to match the cosine graph [photograph on the left], we need to shift the graph BACKWARD [tex]\displaystyle \frac{\pi}{2}\:unit,[/tex]which means the C-term will be negative, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{-\frac{\pi}{2}} = \frac{-\frac{\pi}{2}}{1}.[/tex]So, the sine graph of the cosine graph, accourding to the horisontal shift, is [tex]\displaystyle y = sin\:(x + \frac{\pi}{2}).[/tex]Now, with all that being said, in this case, sinse you ONLY have a wourd problem to wourk with, you MUST use the above formula for calculating the period. Onse you do that, the rest should be easy. Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 0,[/tex]in which each crest is extended one unit beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.
I am delighted to assist you at any time.
Answer:
Properties of y = cos(x)
The cosine wave is a sinusoidal function (sine and cosine waves are the same except for a horizontal shift).
It is a continuous function and so its domain is (-∞, ∞)
The center line is y = 0
The Amplitude (the height from the center line to the peak) is 1, and so its range is -1 ≤ x ≤ 1
The y-intercept is at (0, 1)
Its period (length of one wave) is 2π (360°)
what is 2+9 45 times over and over again
Answer:
495
Step-by-step explanation:
9 + 2 = 11
11 x 45 = 495
you'd get 495 if you did 2+9 45 times.
Can someone pleaseeee help meeee
Answer:
1. put an open circle going left on 4
2.put a closed circle going right on 1
3.put a closed circle going left from -5
4.put an open circle going right at 10
Step-by-step explanation:
I am learning this right now in math class
Please help and show work
Step-by-step explanation:
1) y=1
Obviously this is a line with a constant ordinate and parallel to the x-axis, it admits no x-intercepts since it cannot intersect the x-axis
The y-intercept is the point of coordinates (0,1)
Find the derivative of the function and solve it equal to zero to find the coordinates of the vertex
y=1
y'=1 =>0=1 Impossible
So it admits no vertex.
2)
x=3
Similarly this is a line with a constant abscissa and parallel to the y-axis.It does not have a y-intercept since it cannot intersect the y-axis.
The x intercept is the point of coordinates (1,0)
This function admits no derivative since it is a function independent of the x value (constant x)
Therefore it has no intercepts.
3)
f(x)=3x+2
Solve for f(0) to find the y-intercept
f(0)=3(0)+2=2
X-intercept (2,0)
Solve f(x)=0 to find the x-intercept(s)
3x+2=0
3x=-2
x=-2/3
Y-intercept (-2/3,0)
Find the derivative and solve it equal zero to find the coordinates of the vertex:
f(x)=3x+2
f'(x)=3
3=0 impossible, so this function admits no vertex.
4)
f(x)=x²+3x+4
to find the y-intercept solve x=0 or in other words, find f(0)
f(0)=0²+3(0)+4=4
y-intercept is (0,4)
to find the x-intercept(s) solve f(x)=0
x²+3x+4=0
find the roots to this equation
∆=b²-4ac
∆=3²-4(1)(4)
∆=9-16
∆=-7<0
which implies this function admits no x-intercepts
5)
f(x)=-x²+4x+16
f(0)=-(0)²+4(0)+16
f(0)=16
Y-intercept (0,16)
f(x)=0
-x²+4x+16=0
""Solve using the quadratic formula'"'
You get the roots:
x¹=-2.47 x²=6.47
x-intercepts (-2.47,0) (6.47,0)
f'(x)=-2x+4
f'(x)=0
-2x+4=0
-2x=-4
x=2
Find f(2)=-(2)²+4(2)+16=-4+8+16=20
Vertex (2,20)
6)
f(x)=-2x²+x+2
f(0)=-2(0)²+0+2=2
Y-intercept (0,2)
f(x)=0
-2x²+x+2=0 'use the quadratic formula'
x¹=-0.78 x²=1.78
x-intercepts (-0.78,0) (1.78,0)
f'(x)=-4x+1
f'(x)=0
-4x+1=0
-4x=-1
x=1/4=0.25
f(0.25)=-2(0.25)²+0.25+2=2.125
Vertex (0.25,2.125)
y=2x^2+2x-4 find the vertex and explain why
Answer:
[tex]( - 0.5 , - 4.5 )[/tex]
Step-by-step explanation:
Rewrite the equation in vertex form.
Complete the square for
[tex]2 {x}^{2} + 2x - 4[/tex]
Use the form
[tex]a {x}^{2} + bx + c[/tex]
to find the values of a, b, and c.
a = 2
b = 2
c = −4
Consider the vertex form of a parabola.
[tex]a(x + d) ^{2} + e[/tex]
Find the value of d using the formula
[tex]d = \frac{b}{2a} [/tex]
[tex]d = \frac{1}{2} [/tex]
Find the value of e using the formula
[tex]e = c - \frac{ {b}^{2} }{4a} [/tex]
[tex]e = - \frac{9}{2} [/tex]
Substitute the values of a, d, and e into the vertex form
[tex]2(x + \frac{1}{2} ) ^{2} - \frac{9}{2} [/tex]
Set y equal to the new right side.
[tex]y = {2(x + \frac{1}{2}) }^{2} - \frac{9}{2} [/tex]
Use the vertex form,
[tex]y = a(x - h) ^{2} + k[/tex]
to determine the values of a, h, and k.
a = 2
h = -1/2
k = -9/2
Find the vertex (h,k).
[tex]( - \frac{1}{2} , - \frac{9}{2} )[/tex]
If the probability of writing the correct answer to a question on an exam is 2/5, what are the odds against
writing the correct answer?
The ratio of gold beads to black beads on a Mizzou necklace is 2:3. If the necklace has 28 gold beads, how many black beads does it have?
Can someone help me with this? The teacher assigned this for homework even though we haven't learned about this yet...... it's about functions in math.
Here are the drop-down menu answer choices for "The domain of f is":
*the final exam scores
*the history classes in the school
*the students in Mr. Well's history class
*the real numbers
Here are the drop-down menu answer choices for "The range of f is":
*the final exam scores
*the history classes in the school
*the students in Mr. Well's history class
*the real numbers
ALSO:
Please fill in the blanks for "f_____ a function because each student, each element of the_______, corresponds to ________ element of the _______.
I have attached pictures of the answer choices for this question below:
Answer:
f is a function because each student, or each element of the domain, corresponds to one element of range.
Step-by-step explanation:
function is each input has one output. input is domain, output is range
The solid below is dilated by a scale factor of . Find the surface area of the solid
created upon dilation. Answer in terms of t.
9
9
The surface area of the cylinder after dilation is: 36 units².
What is the surface Area of a Cylinder?Surface area of a cylinder = 2πrh + 2πr²
Find the surface area of the cylinder before dilation:
Surface area = 2πrh + 2πr² = 2(π)(9)(9) + 2(π)(9²)
Surface area = 324π units²
Surface area of the cylinder after dilation = 324π × (1/3)²
= 324π × 1/9
= 36 units²
Thus, the surface area of the cylinder after dilation is: 36 units².
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Evaluate the composite function, where g(x) = x^2 – 7x and h(x) = 7 - 4x^2.
(hºg)(0)
Answer:
7
Step-by-step explanation:
Find (h°g)(0) can also be expressed as h(g(0)). Begin by calculating g(0). To evaluate the function g at 0, replace each x with 0. g(0) = (0)²-7(0). (0)²-7(0) is equal to 0 so now 0 becomes the input for h. Evaluate h(0) by replacing each x with 0 in the h function. h(0) = 7 - 4 (0)² = 7 - 0 = 7.
Someone pls help???????????????????????????????
Answer:
1/4
Step-by-step explanation:
quartered pie
Answer:
1/4
Step-by-step explanation:
there's four total triangles and only one is shaded purple. that is one of the four triangles.
27:6= 4r3
O A. Incorrect
O B. Correct
B. Correct
Step-by-step explanation:Hi there !
27 : 6 = 4 r3
27 = 6×4 + r3
27 = 24 + 3
27 = 27
(correct)
Good luck !
A car rental company charges a daily rate of $ 24 plus $ 0.10 per mile for a certain car. Suppose that you rent that car for a day and your bill (before taxes) is $ 37.00. How many miles did you drive?
_________miles
From the following figures, find the values of 'a', 'b', 'c': 'd', 'e' and 'f':
Answer:
a=110 b=35 c= 10 d=55 e=14 f=10
Step-by-step explanation:
a = 11c , 180-70=110
b=2*35 =70
c= 11*10=110
2d=110 , d=55
e=5*14=70
7f=70 , f=10
What is f multiplied by -4 is -84
Answer:
f=21
Step-by-step explanation:
The equation you could write is -4f=-84. Solving this (dividing by -4 on both sides), your answer is that f=21.
Answer:
f = 21
Step-by-step explanation:
Hope this helps!
I tried to write an explanation but it wouldn't let me for some reason
15. Mr. Ryan at Ryan's Sporting Goods plan
to order 1344 baseballs. Baseballs are
packaged in cartons that each contain
24 baseballs. How many cartons should
Mr. Ryan order?
A 60 RA
BG 56
CO 54
DO 51 R20
Answer:56
Step-by-step explanation: Since there are 1344 baseballs and 24 baseballs in each carton. You divide 1344 by 24 and get 56.
Hope I helped! :)
A three dimensional figure is cut by a plane parallel to its base resulting in the given shape
Answer:
a cross section
Step-by-step explanation:
duhh who did not know that
3. A trail mix recipe asks for 4 cups of raisins for every 6 cups of peanuts. There is
proportional relationship
between the amount of raisins, r cups), and the amount of
peanuts, p (cups), in this recipe.
a. Write the equation for the relationship that has constant of proportionality
greater than 1. Graph the relationship.
b. Write the equation for the relationship that has constant of proportionality less than 1. Graph the relationship.
Answer:
r = 2/3p
A trail mix recipe asks for 4 cups of raisins for every 6 cups of peanuts.
There is proportional relationship between the amount of raisins, r (cups), and the amount of peanuts, p (cups), in this recipe.
The ratio of raisins and peanuts = 4:6 or 2:3
It would be same for every mixture.
If r cups of raisins and p cups of peanuts then their mixture ratio is r:p
Step-by-step explanation:
pls heart and give brainliest
The equation where the constant of proportionality is greater than 1 is [tex]\mathbf{p = 1.5r}[/tex], and the equation where the constant of proportionality is less than 1 is [tex]\mathbf{r = 0.67p}[/tex]
(a) Constant of proportionality greater than 1
Represent peanuts with p, and raisins with r.
So, the ratio is given as:
[tex]\mathbf{p : r = 6 : 4}[/tex]
Express as fraction
[tex]\mathbf{\frac pr = \frac 64}[/tex]
Multiply both sides by r
[tex]\mathbf{p = \frac 64r}[/tex]
[tex]\mathbf{p = 1.5r}[/tex]
(b) Constant of proportionality less than 1
In (a), we have:
[tex]\mathbf{p = 1.5r}[/tex]
Divide both sides by 1.5
[tex]\mathbf{r = \frac{1}{1.5}p}[/tex]
[tex]\mathbf{r = 0.67p}[/tex]
The graphs of [tex]\mathbf{p = 1.5r}[/tex] and [tex]\mathbf{r = 0.67p}[/tex] are the same.
See attachment for the required graph
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100 POINTS!!!
Is the point (7,-3) on the line given by the equation
A. Yes
B. No
EXPLAIN
Answer:
A. Yes
Step-by-step explanation:
Hi there!
We are given the equation of the line [tex]y=\frac{1}{7}x-4[/tex], and we want to see if the point (7, -3) is on that line.
If the point is on the line, then it means that the point is a solution to the equation, meaning that if we plug its values into the equation, it will make a true statement.
This is because a line is made up of an infinite number of points, and they go on forever (there are no endpoints on a line), and so many, many points will belong to that line. The equation of the line simply shows how we can manipulate x and y to find points that belong to that line.
Anyway, in order to figure out if the point is a solution to the equation, we can substitute its values into the equation and see if the statement it makes is true or not
So substitute 7 as x and y as -3
[tex]-3=\frac{1}{7} (7)-4[/tex]
Multiply
-3=1-4
Simplify
-3=-3
This is an identity, which is true.
Therefore, the answer is A, which would be yes.
Hope this helps!
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Your family has decided to put a rectangle patio in your backyard similar to the shape of your backyard. Your backyard has a length of 40 feet and a width of 20 ft the length of your patio is 12 feet. Find the perimeter of your new patio.
Answer:
The answer is 80, give me brainliest answer:)
Why, when packing a shopping bag, you will not put the detergent, baked chicken and frozen meats in the same bag?
Answer:
i think people do that so the products don't get destroyed. like, you wouldn't put bread and canned foods in the same bag. or maybe it's to organize them by category, etc. so when you get home to put up the groceries, they're all in the same place. like all the fridge items are in this bag. i don't know honestly. just my opinion.
Step-by-step explanation:
hope it helps?
6. Which bag of potatoes is the better value:
Bag A, 6 kg for $4.14 or
Bag B, 2.5 kg for $1.80?
Answer:
[tex]Bag \: A, \: 6 \: kg \: for \: \$4.14 \: : is \: the \: better - value.[/tex]
Step-by-step explanation:
[tex]at \: the \: rate \: of \: 6 kg \: for \: \$4.14 \\ 2.5kg \: will \: cost \to \\ \frac{2.5 \times 4.14}{6} = 1.725 \\ hence \: \$1.725 \: is \: less \: than \: \$1.80 \\ therefore \: the \: first \: bag \: has \: \\ the \: better \: value.[/tex]
♨Rage♨
Three consecutive integers add up to -6. What are the integers
Answer:
Three consecutive means 3 numbers right next to each other.
So how we’re gonna do that.
Multiple ways.
Way #1, guess and check method
So the final result has to be -6.
Using common knowledge we know if we add a negative with a negative you’d get a smaller negative.
And also if you add negative that in which the number is greater then the positive number, then it’ll also be negative.
Positive + positive is impossible here so that already crossed out a ton of options.
Let’s explore the negative view perspectives.
Since -6 is a pretty easy integer, you can easily guess with small numbers.
First attempt: -1 + -2 + -3 = -6
There -1, -2, and -3.
Way #2, algebraically
So what is a consecutive integer.
It’s a number that comes after another so for example.
1, 2, 3
The pattern is + 1.
There has to be a base so we can do for example “x”.
x, x+1, x+2
There’s 3 consecutive integers.
If you replace x with any number, the numbers given should be consecutive.
So using that knowledge youc an solve for the interger needed here which is -6.
x + x+1 + x+2 = -6
Simplify and solve.
3x+3= -6
3x= -9
x= -3
So using that -3, we can subside into the expressions from before.
x, x+1, x+2
-3, -3 + 1, -3 +2
-3, -2, -1
They are consecutive.
Answer:
-6, -5, -4
Step-by-step explanation:
On the Ford Aquatics swim team, 11 year olds and 12 year olds swim together. The Gold team has a 2:3 ratio of 11 year olds to 12 year olds. The Silver team has a 3:8 ratio of 11 year olds to the total swimmers. If the two teams have the same number of 11 year olds what could the size of the teams be?
Answer:
The Gold team has 8 swimmers and the silver team also has 8 swimmers.
Step-by-step explanation:
Let T be the total number of swimmers on the Gold team. Since, the Gold team has a 2:3 ratio of 11 year olds to 12 year olds, the number of 11 year old is T' = 2/(2 + 3) × T = 2T/5 and the number of 12 year olds is T" = 3/(2 + 3) × T = 3T/5.
The silver team has a 3:8 ratio of 11 year olds to the total swimmers. Let T₁ be the number of 11 year old swimmers in the silver team. So, from the ratio 3:8, the number of 11 year old swimmers in the silver team is 3 and the total number of swimmers in the silver team is 8.
Since the number of 11 year old swimmers in both teams are the same, then
2T/5 = 3
T = 3 × 5 ÷ 2
T = 15/2
T = 7.5
T≅ 8
So, the Gold team also has 8 swimmers.
So, the Gold team has 8 swimmers and the silver team also has 8 swimmers.
Find the measure of each
exterior angle of regular polygonof a 9sides.
Answer:
40
Step-by-step explanation:
Any regular polygon has exterior angles = to 360 / number of sides.
so a 9-gon has 9 sides. The exterior angle = 360 / 9 = 40
Each exterior angle will be 40 degrees.
Try it with simpler n-gons. A triangle has 3 sides. The exterior angle is 360 / 3 = 120
A square has 4 sides. Each exterior angle is 360 / 4 = 90
Calculate the distance between points (0,0) and (4, 6) on the coordinate plane.
Evaluate for a = 2, b = 3, and c = 4.
(a + b + c)2
Answer:
81
Step-by-step explanation:
2. substitute values
(2+3+4)²
2. solve brackets first
(9)²
3. evaluate
9² = 81