Hey There!!~
Answer: 42
Because, 55 + 72 = 127. After you should do 3 ÷ 127. The divisor (3) goes into the first digit of the dividend (1), 0 times. Therefore, put 0 on top. Then you should Multiply the divisor by the result in the previous step (3 × 0 = 0) and write that answer below the dividend. After that Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below. Move down the 2nd digit of the dividend in the below. The divisor (3) goes into the bottom number (12), 4 time(s). Therefore, put 4 on top... Subtract the result in the previous step from the number written above it. (12 - 12 = 0) and write the answer at the bottom. Move down the last digit of the dividend in the below. The divisor (3) goes into the bottom number (7), 2 time(s). Therefore put 2 on top, Multiply the divisor by the result in the previous step (3 x 2 = 6) and write the answer at the bottom... Subtract the result in the previous step from the number written above it. (7 - 6 = 1) and write the answer at the bottom. The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 127 divided by 3 calculated using Long Division is
Answer: 42 and Remainder 1.
Hope This Helps!!~
[tex]Itsbrazts[/tex]
Hey There!! ~
The answer to this is: 79. Because, First you need to add fiifty five and seventy two which that will be 127 Then, Add fifity five and seventy two Plus, Divide three Then. you should get the answer 79.
Hope It Helps!~ [tex]ItsNobody[/tex]~
How many whole tens are in 3,200
Answer:
320
Step-by-step explanation:
There are 320 tens in 3,200.
320 x 10 = 3200
Answer:
320
Step-by-step explanation:
3200/10=320
jess purchased a full tank of gas on thursday.on friday,he took a road trip and used 1/2 of the tank.on saturday,he did some errands and use an 1/3 additional of the tank.how much gas does jess have left?
Answer:
1/3 of the gas.
Step-by-step explanation:
1 - 1/2 = 1/2
1/3 - 3/3 = 2/3
2/3 ( 1/2 ) = 1/3
The amount of gas left with Jess is given by the equation A = 1/6 of the total gas
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total amount of the gas be represented as A
Now , the equation will be
The amount of gas utilized by Jess on Friday = 1/2 of the initial gas
So , The amount of gas left on Friday = A - ( 1/2 ) A
On simplifying the equation , we get
The amount of gas left on Friday = ( 1/2 )A
Now ,
Amount of gas utilized by Jess on Saturday = ( 1/3 ) of the remaining gas
On simplifying the equation , we get
The remaining gas = ( 1/2 ) A - ( 1/3 ) A
So , the remaining amount of gas with Jess = ( 1/6 ) of the total gas
Hence , the equation is ( 1/6 ) of the total gas is remaining
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After being arranged and simplified which of the following equations could be solved using the quadratic formula?
Answer:
B. 2x² + x² + x = 30
D. 9x + 3x² = 14 + x - 1
Step-by-step explanation:
2x² + x² + x = 30
simplify
3x² + x - 30 = 0
x can be solve using quadratic equations
x = 3 and x = -10/3
so the answer is B
9x + 3x² = 14 + x - 1
simplify
3x² + 8x - 13 =0
x can be solve using quadratic equations
so the answer is D
Note: options A and C do not qualify for quadratic equation
The solution is Option B , Option D.
The set of quadratic equations are 2x² + x² + x = 30 and 9x + 3x² = 14 + x -1
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
The roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
where ( b² - 4ac ) is the discriminant
when ( b² - 4ac ) is positive, we get two real solutions
when discriminant is zero we get just one real solution (both answers are the same)
when discriminant is negative we get a pair of complex solutions
Given data ,
Let the quadratic equation be represented as A
Now , the value of A is
a)
2x² + x² + x = 30 be equation (1)
On simplifying the equation , we get
3x² + x = 30
Subtracting 30 on both sides of the equation , we get
3x² + x - 30 = 0
Now , on factorizing the equation , we get
x = 3 and x = -10/3
b)
9x + 3x² = 14 + x -1 be equation (1)
On simplifying the equation , we get
Subtracting x on both sides of the equation , we get
3x² + 8x = 13
Subtracting 13 on both sides of the equation , we get
3x² + 8x - 13 = 0
Now , on factorizing the equation , we get
x = ( -4/3 ) ± ( √55/3 )
Hence ,
The quadratic equations are 2x² + x² + x = 30 and 9x + 3x² = 14 + x -1
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Use any of the methods to determine whether the series converges or diverges. Give reasons for your answer.
∑[infinity]n=17n2−4n+3
12+2n6
Answer:
It means [tex]\sum_{n=1}^\inf} = \frac{7n^2-4n+3}{12+2n^6}[/tex] also converges.
Step-by-step explanation:
The actual Series is::
[tex]\sum_{n=1}^\inf} = \frac{7n^2-4n+3}{12+2n^6}[/tex]
The method we are going to use is comparison method:
According to comparison method, we have:
[tex]\sum_{n=1}^{inf}a_n\ \ \ \ \ \ \ \ \sum_{n=1}^{inf}b_n[/tex]
If series one converges, the second converges and if second diverges series, one diverges
Now Simplify the given series:
Taking"n^2"common from numerator and "n^6"from denominator.
[tex]=\frac{n^2[7-\frac{4}{n}+\frac{3}{n^2}]}{n^6[\frac{12}{n^6}+2]} \\\\=\frac{[7-\frac{4}{n}+\frac{3}{n^2}]}{n^4[\frac{12}{n^6}+2]}[/tex]
[tex]\sum_{n=1}^{inf}a_n=\sum_{n=1}^{inf}\frac{[7-\frac{4}{n}+\frac{3}{n^2}]}{[\frac{12}{n^6}+2]}\ \ \ \ \ \ \ \ \sum_{n=1}^{inf}b_n=\sum_{n=1}^{inf} \frac{1}{n^4}[/tex]
Now:
[tex]\sum_{n=1}^{inf}a_n=\sum_{n=1}^{inf}\frac{[7-\frac{4}{n}+\frac{3}{n^2}]}{[\frac{12}{n^6}+2]}\\ \\\lim_{n \to \infty} a_n = \lim_{n \to \infty} \frac{[7-\frac{4}{n}+\frac{3}{n^2}]}{[\frac{12}{n^6}+2]}\\=\frac{7-\frac{4}{inf}+\frac{3}{inf}}{\frac{12}{inf}+2}\\\\=\frac{7}{2}[/tex]
So a_n is finite, so it converges.
Similarly b_n converges according to p-test.
P-test:
General form:
[tex]\sum_{n=1}^{inf}\frac{1}{n^p}[/tex]
if p>1 then series converges. In oue case we have:
[tex]\sum_{n=1}^{inf}b_n=\frac{1}{n^4}[/tex]
p=4 >1, so b_n also converges.
According to comparison test if both series converges, the final series also converges.
It means [tex]\sum_{n=1}^\inf} = \frac{7n^2-4n+3}{12+2n^6}[/tex] also converges.
2. Find the distance between A (-1, 4) and B (1.-1)
5.39
5.19
5.29
5.09
=====================================================
Explanation:
Apply the distance formula.
[tex]d = \sqrt{ (x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{ (-1-1)^2+(4-(-1))^2}\\\\d = \sqrt{ (-1-1)^2+(4+1)^2}\\\\d = \sqrt{ (-2)^2+(5)^2}\\\\d = \sqrt{ 4+25}\\\\d = \sqrt{ 29}\\\\d \approx 5.38516\\\\d \approx 5.39\\\\[/tex]
You could also use the pythagorean theorem which is what the distance formula is based off of.
Question in the picture please help me.
Answer:
1) [tex]50=2(x+5)+2(x)[/tex]
2) [tex]x=10[/tex]
3) [tex]15\text{ units}[/tex]
Step-by-step explanation:
So we know that the perimeter of the rectangle is 50.
The formula for the perimeter of a rectangle is given by:
[tex]P=2l+2w[/tex]
Where l is the length and w is the width.
The length is (x+5) and the width is (x).
Thus, substitute (x+5) for l and (x) for w. Also substitute 50 for P. Therefore:
[tex]50=2(x+5)+2(x)[/tex]
And that's our equation.
To solve, first distribute:
[tex]50=2x+10+2x[/tex]
Combine like terms:
[tex]50=4x+10[/tex]
Subtract 10 from both sides:
[tex]40=4x[/tex]
Divide everything by 4:
[tex]x=10[/tex]
So, the value of x is 10.
The length is the longer side. Thus, it is (x+5).
We now know that x is 10, substitute:
[tex]x+5\\=(10)+5\\=15[/tex]
So, the length is 15 units.
Answer:
Below
Step-by-step explanation:
The perimeter of a rectangle is the sum of its 4 sides.
Let P be the perimeter
● P = x + (x+5) + x + (x+5)
● P = x+x+x+x+5+5
The perimeter is 50 units
● 50 = 4x +10
So this the equation that would model how to find x.
Let's solve it
● 4x + 10 = 50
Substract 10 from both sides
● 4x + 10 - 10 = 50-10
● 4x = 40
Divide both sides by 4
● 4x/4 = 40/4
● x = 10
■■■■■■■■■■■■■■■■■■■■■■■■■■
Let's find the length.
The length is x+5
Replace x by 10 to find the value of the length.
● 10 + 5 = 15
So the length is 15 units
In a library, the ratio of maths books to science books is 3 : 2 and the ratio of science books to history books is 1 : 3. If the total number of books is 220, how many maths books are there?
Answer:
60 maths books
Step-by-step explanation:
Let the following be:
Maths books = mScience books = sHistory books = hAnd we have ratios and sum:
m/s = 3/2s/h = 1/3m+s+h = 220From the ratios we get:
m = 3s/2h= 3sConsidering the above in the sum of books:
m+s+h = 2203s/2 + s + 3s = 2203s + 2s + 6s = 2*22011s = 440s = 440/11s = 40Number of maths books:
m = 3s/2 = 3*40/2 = 60If you randomly select a letter from the phrase "Sean wants to eat at Olive Garden," what is the probability that you select a vowel
Answer:100%
Step-by-step explanation: Think about it for a second S-ea-n w-a-nts t-o e-a-t a-t o-liv-e g-a-rd-e-n their are vowels in every word
Answer:12/27
Step-by-step explanation:there are 12 vowels in the phrase so the probability is 12:27 or 4:9 (you can write these as fractions too, numerators are on the left)
Hey any oneill give brainleast please help me
Answer:
8
Step-by-step explanation:
So we have the expression:
[tex](-\frac{11}{2}x+3)-2(-\frac{11}{4}x-\frac{5}{2})[/tex]
First, distribute the right:
[tex]=(-\frac{11}{2}x+3)+(\frac{11}{2}x+5)[/tex]
Combine like terms:
[tex]=(-\frac{11}{2}x+\frac{11}{2}x)+(3+5)[/tex]
The fractions will cancel:
[tex]=3+5[/tex]
Add:
[tex]=8[/tex]
Our answer is 8 :)
Answer:
8
Step-by-step explanation:
-13 can be classified as a whole number, interger, or rational number
Answer:
Step-by-step explanation:
Actually, -13 can be classified as any and all of these.
Answer:-13 would be considered a rational number :)
Step-by-step explanation:
Only positive numbers are considered as whole numbers, so we know that that is not a correct option, and an integer is any number that is not either a decimal or a fraction. Hope this helps :)
Determine whether the variable is qualitative or quantitative. Explain your reasoning. favorite city
Answer:
Qualitative variable.
See explanation below.
Step-by-step explanation:
In research we have two types of variables: the quantitative and the qualitative variables.
A quantitative variable is a variable that is a number, for example: age, height, number of years of school. These type of variables are only numbers.A qualitative variable is a variable that is not a number but rather a category of data. For example: your name, your gender, your favorite food. All these examples are not numbers but categories.In this example we are asked about our favorite city, we can see that the possible answers for this question are: Dallas, Seattle, Washington, Paris, etc.. these are not numbers so therefore this is an example of qualitative variable.
A market research company wishes to know how many energy drinks adults drink each week. They want to construct a 80% confidence interval for the mean and are assuming that the population standard deviation for the number of energy drinks consumed each week is 0.9. The study found that for a sample of 164 adults the mean number of energy drinks consumed per week is 7.9. Construct the desired confidence interval. Round your answers to one decimal place.
Answer:
The confidence interval = (7.8 , 8.0)
Step-by-step explanation:
Confidence Interval formula =
Mean ± z × Standard deviation/√n
Mean = 7.9
Standard deviation = 0.9
n = number of samples = 164
z = z score of an 80% confidence interval = 1.282
Confidence Interval = 7.9 ± 1.282 × 0.9/√164
= 7.9 ± 0.0900966432
Confidence Interval
= 7.9 - 0.0900966432
= 7.8099033568
Approximately to 1 decimal place = 7.8
7.9 + 0.0900966432
= 7.9900966432
Approximately to 1 decimal place = 8.0
Therefore, the confidence interval = (7.8 , 8.0)
five thousand two hundred sixty-seven. standard form
Answer:
5,267
Step-by-step explanation:
Five thousand: 5,000
Two hundred: 200
Sixty: 60
Seven: 7
Put them together: 5,267
Five thousand two hundred sixty-seven in standard form is 5,267.
Standard form is the way of written down number in simplest form.
Five thousand=5,000
Two hundred=200
Sixty=60
Seven=7
Hence:
Standard form=5,000+200+60+7
Standard form=5,267
Inconclusion five thousand two hundred sixty-seven in standard form is 5,267.
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12.) When rounding to the nearest 10, what is the largest number that will
round to 30?
a.) 31
b.) 34
c.) 21
d.) 25
Jason states that -5.0 is not an integer because it is a decimal. Is he correct? Why or why not?
Answer:
The answer is No, he's incorrect
Step-by-step explanation:
Because -5.0 is still -5 so therefore it makes -5.0 an integer
You have five pieces of wood. The lengths of these are shown below.
325 cm
4.04 m
73 cm
1.6 m
2.87 m
What is the total length of the wood?
Answer:
1,249 cm or 12.49
Whichever one it asks for
Step-by-step explanation:
First, we need to convert all of the m to cm.
4.04 m = 404 cm
1.6 m = 160 cm
2.87 m = 287 cm
Next, add them all up.
325 + 404 + 73 + 160 + 287 =
1,249 cm
If it asks to convert to m again, then the answer would be 12.49 m
Hope this helps!!!
Answer:
1,249 cm (or) 12.49 m
Step-by-step explanation:
1m = 100cm
4.04m = 404cm
1.6m = 160 cm
2.87m = 287 cm
So, 325 + 404 + 73 + 160 + 287 = 1,249 cm
If u want the answer in meters, [tex]\frac{1249}{100}[/tex]
So, it will be 12.49 m
f(x) = -4x - 3
Evaluate f(9) + f(5)=
Evaluate f(9) + f(5)= 14f If I didn't answer Your Question fully than tell me please!
1 3 9 10 TIME REI 25: Consider the function y = asin(bx), where a > 0 and b>0. Which change compresses the graph vertically?
Making the value of 'a' smaller, but still positive, will make the graph be compressed vertically.
Let's say a = 1 is the initial value. If we update it to a = 0.5, then the graph will be half as tall as it used to be, so it's compressed by a factor of 1/0.5 = 2.
The value of b determines the period of the sinusoidal function.
Find the pattern and use inductive reasoning to predict the next number in the sequence 5,5,10,30,120,…
Answer:
afdgdfdf
Step-by-step explanation:
Answer:
its going up by 1 each time theres a new number so next youll multiply 4 by 120 which is 480
Step-by-step explanation:
jo is 5cm taller than Kathy.Let j=jo height.Then? =kathys height.
Answer:
Kathy = J - 5 cm
Step-by-step explanation:
Jo = 5 + Kathy
Jo = J
Kathy = K
=> J = 5 + K
=> J - 5 = 5 - 5 + K
=> J - 5 = K
=> K = J - 5
So, Kathy's height is J - 5 cm
( 7m + 1 )( 5m 2 + 4m - 6 ) simplified
Answer:
35m³ + 33m² - 38m - 6
Step-by-step explanation:
simplify ( 7m + 1 )( 5m^2 + 4m - 6 )
= 7m * 5m² + 7m * 4m - 7m * 6 + 5m² + 4m - 6
=7 * 5mm² + 7 * 4mm - 7 * 6m + 5m² + 4m
= 35m³ + 33m² - 38m - 6
what is the sum of 8.7 + 5.22=
Answer:
8.7+5.22=13.92
Hope it helps you...
Answer:
13.92
Step-by-step explanation:
What are the solutions to the equation 0=x squared- x-6
Answer:
Factor to this equation out, the easiest way is to solve for the two x values that add up to -1 but when multiplied is equal to -6. It should look like this: (x +- ?)(x +- ?).
The factored out form is then (x - 3)(x +2), because -3 + 2 = -1 and when multiplied together gives -6.
x - 3 = 0
x = 3
x + 2 = 0
x = -2
The two solutions are therefore, x = 3 and x = -2.
1/3 plus 4/7 divided by 3/10
Answer:
47/21
Step-by-step explanation:
[tex]\frac{1}{3} + \frac{4}{7} \div \frac{3}{10} \\\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}\\=\frac{1}{3}+\frac{4}{7}\times \frac{10}{3}\\\\\frac{4}{7}\times \frac{10}{3}=\frac{40}{21}\\=\frac{1}{3}+\frac{40}{21}\\\\\mathrm{Least\:Common\:Multiplier\:of\:}3,\:21:\quad 21\\\\\mathrm{Adjust\:Fractions\:based\:on\:the\:LCM}\\=\frac{7}{21}+\frac{40}{21}\\\\=\frac{7+40}{21}\\\\=\frac{47}{21}[/tex]
Please explain your work still don’t understand
Answer:
The radius is 5√2.The center is (-3, 4).Step-by-step explanation:
It can be helpful to understand what the square of a binomial looks like:
(a +b)² = a² +2ab +b²
The middle term on the right is twice the product of the terms in the original binomial on the left.
Here, we want to use this relationship to find "b" when we're given "2ab". We recognize that "b" is half the coefficient of "a" in 2ab.
Choosing a value for b² to turn the sum (a² +2ab) into the trinomial (a² +2ab +b²) is called "completing the square" because that trinomial can now be written as the square (a+b)².
__
The standard form equation of a circle with center (h, k) and radius r is ...
(x -h)² +(y -k)² = r²
In order to find the center and radius of the circle from the given equation, you're expected to rewrite the equation in this form. You do that by "completing the square" for both x-terms and y-terms.
__
Given
x² +y² +6x -8y -25 = 0
Regrouping, we have ...
(x² +6x) +(y² -8y) = 25
Adding the squares of half of 6 and half of -8, we can write this as ...
(x² +6x +3²) +(y² -8y +(-4)²) = 25 +3² +(-4)²
And writing the trinomials as squares gives us ...
(x +3)² +(y -4)² = 50 = (5√2)²
Comparing this to the standard form equation above, we see that ...
(h, k) = (-3, 4)
r = 5√2
__
The radius is 5√2.
The center is (-3, 4).
__
The attachment shows that the original equation draws a circle with center (-3, 4) and through points that are 5 units horizontally and vertically from the center, such as the point (2, -1). That is, the radius is 5√2.
One-half of the sum of 3 times v and twenty-eight
Need help writing this in expression form please
Answer:
(1/2)(3v+28)
Step-by-step explanation:
of= multiply
sum= add
Could it be (3v +28)/2
1) f(x) = 2x + 4, g(x) = 4x2 + 1; Find (g ∘ f)(0).
Answer:
[tex](g \: \circ \: f)(0) = 17[/tex]Step-by-step explanation:
f(x) = 2x + 4
g(x) = 4x² + 1
In order to find (g ∘ f)(0) we must first find
(g ° f )(x)
To find (g ° f )(x) substitute f(x) into g(x) that's for every x in g(x) replace it with f(x)
That's
[tex](g \: \circ \: f)(x) = 4( ({2x + 4})^{2} ) + 1 \\ = 4(4 {x}^{2} + 16x + 16) + 1 \\ = {16x}^{2} + 64x + 16 + 1[/tex]We have
[tex](g \: \circ \: f)(x) = {16x}^{2} + 64x + 17 \\ [/tex]Now to find (g ∘ f)(0) substitute the value of x that's 0 into (g ∘ f)(0)
We have
[tex](g \: \circ \: f)(0) = 16( {0})^{2} + 64(0) + 17 \\ [/tex]We have the final answer as
[tex](g \: \circ \: f)(0) = 17[/tex]Hope this helps you
what is 4+2+-8+-6?
Answer:
-8
Step-by-step explanation:
+-8 = -8
+-6 = -6
then:
4 + 2 + -8 + -6 = 4 + 2 - 8 - 6 = 6 - 14
= -8
Answer:
-8
Step-by-step explanation:
Simplify: 4 + 2 - 8 - 64 + 2 = 6Plug 6 in: 6 - 8 - 66 - 8 = -2Plug -2 in: -2 - 6-2 - 6 = -8Therefore, the answer is -8.
What is the smallest integer greater than the square root of 22
Answer:
Square: 484 Square root: 4.690
(b) Heera sold a pen at the loss of 15%. Had she sold it in Rs. 3 more, she should have 5%
profit. What would be the cost price of the pen? Find it.
Answer:
Cost price= Rs. 15
Step-by-step explanation:
Please see attached picture for full solution.