Step-by-step explanation:
x be an irrational number between 9.5 and 9.7.
So, we consider that x = 9.562536941412578914...
Rounding to the nearest hundredth
x = 9.56.
9.56763865854637984..... (rounded 9.57)
irrational because it has no pattern
Answer: [tex]\large \sqrt{91}[/tex]
Step-by-step explanation:
An irrational number is a square root in its simplest form.
We want an irrational number between 9.5 and 9.7
[tex]\huge 9.5<\sqrt x <9.7[/tex]
square all sides 90.25 < x < 94.09
Answer: The square root of any number between 90.25 and 94.09 will work so there are an infinite number of possible answers. [tex]\sqrt{91}, \sqrt{92}, \sqrt{93}, \sqrt{94}[/tex]
I REALLY NEED HELP ASAP WITH THESE 2 QUESTIONS!!!!!!!!!
Answer:
4. Meena- 3
Jerry- 6
5a. 5
5b. 6
Step-by-step explanation:
We can use the distance formula to solve all of these.
[tex]\sqrt{(x_{2} } -x_{1} )^2+(y_{2} -y_{1} )^2[/tex]
Plug the numbers in and make sure you understand how i got these answers :) Let me know if you see anything wrong about it, and i will try and fix it.
) Martha went to the store with $75.00. She bought 3 pairs of socks for $4.00 each, she bought 2 shirts for $20.00 each, and she bought a skirt for $21.00. How much money did she have left?
Answer:
She had $2.00 left.
Step-by-step explanation:
PEMDAS
$75 - [(3 x $4) + (2 x $20) + $21 ]
$75 - [ $12 + $40 + $21]
$75 - [ $52 + $21]
$75 - $73
$2
this is urgent...please help!
the brown family is ordering pizza. they are trying to decide whether to order a large pizza or a monster pizza. a monster pizza (m) has six fewer slices than twice the number of slices on a large pizza (l). the difference between the number of slices on a monster pizza and the number of slices on a large pizza is five slices. which system of equations below can be used to determine the number of slices on a large pizza and a monster pizza?
a) m - 2 l = 5
m - l = 6
b) 2m - l = 6
m - l = 5
c) 2m - l = -6
m - l = 5
d) m - 2 l = - 6
m - l = 5
Answer:
d) m - 2 l = - 6; m - l = 5
Step-by-step explanation:
Twice the number of slices on a large pizza is 2l. 6 fewer than that is 2l-6. This is the number on a monster pizza, so we have ...
m = 2l -6
Subtracting 2l from both sides gives the equation ...
m -2l = -6 . . . . . matches choice D
At what rate per annum will N250 amount to N330 in 4 years.
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{8 \: \% \: }}}}}[/tex]Step-by-step explanation:
Given,
Principal ( P ) = N 250
Time ( T ) = 4 years
Amount ( A ) =N 330
Rate ( R ) = ?
First, finding the Interest :
According to definition of Amount ,
Amount = Principal + Interest
plug the values
⇒[tex] \sf{330 = 250 + I}[/tex]
Move i to left hand side and change it's sign
⇒[tex] \sf{ - I = 250 - 330}[/tex]
Calculate
⇒[tex] \sf{ - I = - 80}[/tex]
Change the signs of the both equation
⇒[tex] \sf{I = 80 }[/tex]
Interest = 80
Finding the rate :
Simple Interest = [tex] \sf{ \frac{PTR}{100} }[/tex]
plug the values
⇒[tex] \sf{80 = \frac{250 \times 4 \times R}{100} }[/tex]
Multiply the numbers
⇒[tex] \sf{80 = \: \frac{1000 \: R}{100} }[/tex]
Apply cross product property
⇒[tex] \sf{1000R = 100 \times 80}[/tex]
Multiply the numbers
⇒[tex] \sf{1000R = 8000}[/tex]
Divide both sides of the equation by 1000
⇒[tex] \sf{ \frac{1000R}{1000} = \frac{8000}{1000} }[/tex]
Calculate
⇒[tex] \sf{R = 8 \: \% \: }[/tex]
Thus, Rate = 8 %
-------------------------------------------------------------------------
Let's learn about Principal , Interest , Time , Rate and Amount :
Principal = The money which is borrowed or deposited is called principal.Interest = The additional amount of money which is paid by borrower to the lender is called interest.Time = The duration of time for which principal us deposited or borrowed is termed as time period.Rate = The condition under which the insterest is charged is called rate.Amount = The sum of principal and Interest is called an amount.Hope I helped!
Best regards!!
3/4a-1/6=2/3a+1/4? Please i need help!!!!
Answer: a=5
Step-by-step explanation:
1/12a=10/24
24a=120
a= 5
What is the answer!!
Answer:
∠ G = 121°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 given angles and equate to 180
x + 3x + 25 + x - 5 = 180 , that is
5x + 20 = 180 ( subtract 20 from both sides )
5x = 160 ( divide both sides by 5 )
x = 32
Thus
∠ G = 3x + 25 = 3(32) + 25 = 96 + 25 = 121°
Answer:
121
Step-by-step explanation:
How do I even start this? And how to i order the equation to solve
[tex]f(g(h(x)))=f(g(\sqrt x))=f(\sqrt x-1)=\boxed{(\sqrt x-1)^4+4}[/tex]
This is because
[tex]h(x)=\sqrt x[/tex]
[tex]g(x)=x-1[/tex]
[tex]\implies g(h(x))=\sqrt x-1[/tex]
(that is, replace any instance of x in the definition of g with √x )
and
[tex]f(x)=x^4+4[/tex]
[tex]\implies f(\sqrt x-1)=(\sqrt x-1)^4+4[/tex]
(replace any x in f with √x - 1)
Also acceptable:
[tex](\sqrt x-1)^4+4=((\sqrt x)^4-4(\sqrt x)^3+6(\sqrt x)^2-4\sqrt x+1)+4[/tex]
[tex]=\boxed{x^2-4x\sqrt x+6x-4\sqrt x+5}[/tex]
(assuming x is not negative)
consider the polynomial 8x^3+2x^2-20x-5 factor
Answer:
(4x + 1)(2x² - 5)
Step-by-step explanation:
Given
8x³ + 2x² - 20x - 5 ( factor the first/second and third/fourth terms )
= 2x²(4x + 1) - 5(4x + 1) ← factor out (4x + 1) from each term
= (4x + 1)(2x² - 5)
Answer:
blank 1 is -20-5
blank 2 is 4x+1
blank 3 is -5
blank 4 is 2x^2-5
Step-by-step explanation:
-\dfrac{1}{6} \times \left(-\dfrac{9}{7}\right)− 6 1 ×(− 7 9 )minus, start fraction, 1, divided by, 6, end fraction, times, left parenthesis, minus, start fraction, 9, divided by, 7, end fraction, right parenthesis
Answer:
[tex]\dfrac{3}{14}[/tex]
Step-by-step explanation:
The even number of minus signs means the product will be positive. A factor of 3 can be removed to simplify the product. As usual, the numerator of the product is the product of numerators, and the denominator of the product is the product of denominators.
[tex]-\dfrac{1}{6} \times \left(-\dfrac{9}{7}\right)=\dfrac{1\cdot 9}{6\cdot 7}=\dfrac{3\cdot 3}{3\cdot 14}=\boxed{\dfrac{3}{14}}[/tex]
Answer:
→ 3/4 ←
-1/6 × (-9/7)= 1·9/6·7 3·3/3·14 = 3/4
Given: D is the midpoint of AB; E is the midpoint of AC.
Prove: DE BC
y
Complete the missing parts of the paragraph proof.
Proof:
To prove that DE and BC are parallel, we need to show
that they have the same slope.
slope of DE = 12-11=_C-C
X2 - x1 a + b - b
A(2b, 2c)
D(b, c)
Ela + bc)
slope of BC =
B(0,0)
C(2a, 0)
Therefore, because
DE 1 BC.
Answer:
The lines DE and BC have the same slope, therefore the two lines, DE and BC, are parallel
Step-by-step explanation:
To prove that DE is parallel to BC, we have;
The slope, m of the lines DE and BC are found from the following equation;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Where;
(x₁, y₁) and (x₂, y₂) = (b, c) and (a + b + c) for DE, we have;
[tex]Slope, \, m =\dfrac{c - c}{a + b-b} = 0[/tex]
Where we have (x₁, y₁) and (x₂, y₂) = (0, 0) and (2a, 0) for BC, we have;
[tex]Slope, \, m =\dfrac{0 - 0}{2a-0} = 0[/tex]
Therefore, because the lines DE and BC have the same slope, the two lines DE and BC are parallel.
Answer:
slope of DE = 0
slope Bc = 0
slopes are =
Step-by-step explanation:
Maths!
1) Calculate the variance and standard division of the set of the data
2) If each value is added by 2, calculate the new standard deviation of the set
3) What is the effect on the measure of dispersion if each value is changed uniformly
Answer:
(1) Variance = 4.5 and Standard deviation = 2.121.
(2) Variance = 4.5 and Standard deviation = 2.121.
(3) The effect on the measure of dispersion if each value is changed uniformly is that it remains unchanged.
Step-by-step explanation:
We are given with the following set of data below;
X [tex]X-\bar X[/tex] [tex](X-\bar X)^{2}[/tex]
5 5 - 8 = -3 9
5 5 - 8 = -3 9
8 8 - 8 = 0 0
10 10 - 8 = 2 4
10 10 - 8 = 2 4
10 10 - 8 = 2 4
9 9 - 8 = 1 1
9 9 - 8 = 1 1
6 6 - 8 = -2 4
Total 72 36
Firstly, the mean of the above data is given by;
Mean, [tex]\bar X[/tex] = [tex]\frac{\sum X}{n}[/tex]
= [tex]\frac{72}{9}[/tex] = 8
(1)Now, the variance of the given data is;
Variance = [tex]\frac{\sum (X-\bar X)^{2} }{n-1}[/tex]
= [tex]\frac{36}{9-1}[/tex] = 4.5
So, the standard deviation, (S.D.) = [tex]\sqrt{\text{Variance}}[/tex]
= [tex]\sqrt{4.5}[/tex] = 2.12
(2) Now, each value is added by 2; so the new data set is given by;
X [tex]X-\bar X[/tex] [tex](X-\bar X)^{2}[/tex]
7 7 - 10 = -3 9
7 7 - 10 = -3 9
10 10 - 10 = 0 0
12 12 - 10 = 2 4
12 12 - 10 = 2 4
12 12 - 10 = 2 4
11 11 - 10 = 1 1
11 11 - 10 = 1 1
8 8 - 10 = -2 4
Total 90 36
Firstly, the mean of the above data is given by;
Mean, [tex]\bar X[/tex] = [tex]\frac{\sum X}{n}[/tex]
= [tex]\frac{90}{9}[/tex] = 10
(1)Now, the variance of the given data is;
Variance = [tex]\frac{\sum (X-\bar X)^{2} }{n-1}[/tex]
= [tex]\frac{36}{9-1}[/tex] = 4.5
So, the new standard deviation, (S.D.) = [tex]\sqrt{\text{Variance}}[/tex]
= [tex]\sqrt{4.5}[/tex] = 2.12
(3) The effect on the measure of dispersion if each value is changed uniformly is that it remains unchanged as we see in the case of variance or standard deviation.
Find the angle between the Crocodile River and the road. Show your work, and round your answer to the nearest tenth of a degree. Need help ASAP.
Answer:
63.4°
Step-by-step explanation:
Use the right triangle with vertices (0, 4), (6, 4), and (6, 7).
We are looking for the measure of the interior angle of the triangle at vertex (6, 7).
Call that angle, <A.
tan A = opp/adj
tan A = 6/3
A = 63.4°
The angle between the Serengeti Stream and the x-axis at the point (6, 7) is approximately 63.4°.
What is the right triangle?A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.
The equation of the straight line that goes through the points (0, 4) and (6, 7),
First, let's calculate the slope:
m = (7 - 4) / (6 - 0) = 3/6 = 1/2
Now we can use the point-slope formula with the point (0, 4) and slope m = 1/2:
(y - 4) = (1/2)(x - 0)
y = (1/2)x + 4
Next, we need to find where this line intersects the Crocodile River, which is represented by the x-axis.
Setting y = 0 in the equation above, we get:
0 = (1/2)x + 4
x = -8
So, the Serengeti Stream flows into the Crocodile River at the point (-8, 0).
The slope of the Serengeti Stream at (6, 7) is:
m = (7 - 4) / (6 - 0) = 1/2
The slope of the line perpendicular to the Serengeti Stream at (6, 7) is the negative reciprocal of the slope of the Serengeti Stream:
m_perpendicular = -1/m = -1/(1/2) = -2
So the equation of the line perpendicular to the Serengeti Stream at (6, 7) is:
(y - 7) = (-2)(x - 6)
y = -2x + 19
The arctangent of the slope:
angle = arctan(-2)
angle ≈ -63.4° (CCW)
Therefore, the angle between the Serengeti Stream and the x-axis at the point (6, 7) is approximately 63.4°.
Learn more about the right triangle here:
https://brainly.com/question/11899922
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Make the biggest possible number using the digits below only once 0 , 3 , 4
Answer:
12,157,665,459,057,000,000
Step-by-step explanation:
It seems like it would have to involve exponents. 3 to the 40th power would be 12,157,665,459,057,000,000.
I need help with 6 and 7
Answer:
Step-by-step explanation:
6):
Take the small right triangle with the sides 25 and 7.
☆ The Pythagorian theorem ☆
Let x be the third side.
● 25^2 = x^2 + 7^2
Substract 7^2 from both sides
● 25^2 -7^2 = x^2 +7^2 -7^2
● x^2 = 25^2 -7^2
● x^2 = 576
● x = 24 inches
The third that we find is the half of the side of the square.
Multiply it by 2 and get the side of the square.
● 24 × 2 = 48 inches
The perimeter of the square is the side times 4.
● P = 48 × 4
● P = 192 inches
■■■■■■■■■■■■■■■■■■■■■■■■■■
7):
Both triangles are righr and they have a khown angle.
Start with the small one and calculte the third angle.
The sum of a triangle angles is 180°
Let B be the third angle.
● B = 180-(90+51) = 39°
That's equal to the second angle of the second's triangle.
So it's an AA similarity.
So:
● x/24 = 7/15
● x = (7/15)×24
● x = 11.2
Evaluate the expression when y=-6.
y^2+5y-2
Answer:
this glizzy
Step-by-step explanation:
blow this glizzy u madd u wrong answer
Answer:
4
Step-by-step explanation:
Sometimes when evaluating polynomials, it is easier if you write them in Horner form:
(y +5)y -2
For y = -6, this is ...
(-6 +5)(-6) -2 = (-1)(-6) -2 = 6 -2 = 4
The value of your expression is 4.
A spray irrigation system waters a section of a farmer’s field. If the water shoots a distance of 85 feet, what is the area that is watered as the sprinkler rotates through an angle of 60 degrees? Use 3.14 for pi . Round your answer to the nearest square foot, and enter the number only.
Answer:
3,781
Step-by-step explanation:
To solve this problem, we will find the area of the whole circle and use that to find teh area of the 60º section.
First, recognize the formula for the area of a circle:
A = 3.14[tex]r^{2}[/tex]
In this scenario, the radius (r) is 85 feet:
A = 3.14(85[tex])^{2}[/tex]
A circle is 360º and we only require the area of 60º. 360º / 60º = 6 so we will divide by 6:
A = [tex]\frac{3.14(85)^{2} }{6}[/tex]
Finally, we will simplify and round:
A = 3,781
what is the value of 600.79-40.0032+5.01 to the nearest Hundredths
Answer:
565.80
Step-by-step explanation:
600.79-40.0032+5.01 = 565.7968
565.7968 to the nearest Hundredths =
565.80
Answer:
565.80
Step-by-step explanation:
600.79 - 40.0032 + 5.01
600.79 - 40.0032 = 560.7868
560.7868 + 5.01 = 565.7968
565.7968 to the nearest hundredth = 565.80
Josephine is going on a run around the lake. She knows the distance around the lake. but she would like to complete her run in a certain amount of time. Josephine knows she can used the formula d=rt Which equation correctly rearranges the formula to find the time it will take her to run around the lake? (Solve for t)
Answer:
D
Step-by-step explanation:
To solve for T in this, you need to to divide r from both sides of the equation.
d=rt
divide r
d/r=t
The correct equation is t= d/r.
The answer is option D.
How do you reorganize an equation?Rearrange the equation in order that the unknown variable is by itself on one aspect of the equals sign (=) and all the different variables are on the opposite side. Rule 1: you could add, subtract, multiply and divide by means of something, so long as you do the identical aspect to both aspects of the equals sign.
What does it mean to rearrange a formula?We can express an equation in phrases of the opposite variable. For example, to arrange the equation in order that it's far written as taking each time period and circulate to the opposite side of the equal sign the usage of the opposite operation till you most effective have.
Learn more about the equation here: https://brainly.com/question/1214333
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help w−3/4=8 a) 5 b) 35 c) 29 d) -1
Answer:
w = 35/4
im not exactly sure why the options are whole numbers.
Step-by-step explanation:
8 = w-3/4
-w + 8 = -3/4
-w = -3/4 - 8
-w = -3/4 - 32/4
-w = -35/4
w = 35/4
How to do this question plz answer me step by step plzz plz
Answer:
4 cm
Step-by-step explanation:
Volume is given by area of cross section * height
_______________________________
For condition 1
height = 12 cm
base for area of cross section is 5*8
that is length 8 cm and width 5 cm
thus area of cross section = 5*8 = 40 cm square
volume of milk = area of cross section* height of milk = 40*12 = 480 cm cube.
_______________________________________________
now milk is turned such that base of area of cross section will
15 by 8
that is length: 15 cm and width : 8 cm
thus area of cross section = 15*8 = 120 cm square
let the depth of milk be x
thus, volume of milk = area of cross section* height of milk = 120*x
= 120x cm cube
Since milk is in the same container , its volume before and after the change of alignment of container will remain same
thus
120x cm cube = 480 cm
=> x = 480/120 = 4
Thus, depth under given situation will be 4 cm.
14 POINTER IF YOU HIT THE BULLSEYE!!!!! HELP!
Billy, Bob, and Joe found a question in their test that said this and they NEED HELP!!!!! with flying promises to give brainliest they now wait.......
Answer:
mean would decrease
Step-by-step explanation:
The line plot below displays the fraction of incoming calls answered before the second ring by a group of employees. What fraction of employees answered less than of their incoming calls before the second ring?
Answer:
1/6
Step-by-step explanation:
People who answered less than 1/2 were: 2 + 1 + 3 = 6 people.
There are a total of 36 people.
People who answered their calls before the second ring were only 6/36.
When we simplify the fraction, we get 1/6.
So, the answer is 1/6
5/14, 7/10, 5/6, 11/15, 19/2
Answer:
5/14 = 0.36
7/10 = 0.7
5/6 = 0.83
11/15 = 0.73
19/21 = 0.9
(round to the tenth)
so the answer is;
5/14, 7/10, 11/15, 5/6, 19/21
Step-by-step explanation:
Hope it helps!
find y.
picture attached
Simplify
2x + 5x^3 + 3x - 4x^3
Answer:
x³ + 5x
Step-by-step explanation:
2x+5x3+3x−4x3
=2x+5x3+3x+−4x3
Combine Like Terms:
=2x+5x3+3x+−4x3
=(5x3+−4x3)+(2x+3x)
=x3+5x
Answer:
[tex]\large \boxed{x^3+5x}[/tex]
Step-by-step explanation:
[tex]2x + 5x^3 + 3x - 4x^3[/tex]
[tex]\sf Group \ like \ terms.[/tex]
[tex]5x^3 - 4x^3+2x+3x[/tex]
[tex]\sf Combine \ like \ terms.[/tex]
[tex]x^3+5x[/tex]
P(x) =2x3 -11x2 -4x +1 g(x) =2x +1
Answer:
see explanation
Step-by-step explanation:
If (2x + 1) is a factor then x = - [tex]\frac{1}{2}[/tex] is a root and P(- [tex]\frac{1}{2}[/tex] ) = 0 ← Factor theorem
P(- [tex]\frac{1}{2}[/tex] )
= 2(- [tex]\frac{1}{2}[/tex] )³ - 11(- [tex]\frac{1}{2}[/tex] )² - 4(- [tex]\frac{1}{2}[/tex] ) + 1
= - [tex]\frac{1}{4}[/tex] - [tex]\frac{11}{4}[/tex] + 2 + 1
= - [tex]\frac{12}{4}[/tex] + 3
= - 3 + 3
= 0
Since P(- [tex]\frac{1}{2}[/tex] ) = 0 then g(x) is a factor of P(x)
Bryan completed a 100-meter race in 11.74 seconds. Luis completed the same race in 11.69 seconds. What was the difference between their times, expressed as a fraction of a second?
Answer:
[tex]\frac{1}{20}[/tex] of a second
Step-by-step explanation:
We can convert each time into fractions.
11.74 is the same thing as [tex]11 \frac{74}{100}[/tex]
and 11.69 is the same thing as [tex]11 \frac{69}{100}[/tex].
We know that 11 - 11 = 0, so we can focus on the fractions for now.
Let's subtract [tex]\frac{69}{100}[/tex] from [tex]\frac{74}{100}[/tex].
[tex]\frac{74}{100} - \frac{69}{100} = \frac{5}{100}[/tex].
We can now simplify [tex]\frac{5}{100}[/tex] by dividing both the numerator and denominator by 5.
[tex]\frac{5\div5}{100\div5} = \frac{1}{20}[/tex].
Hope this helped!
Show by shading , the region in a Venn diagram represented by the set notations I)(AUB) NC ii) AU ( BNC)
See the diagram, and tell me if it's clear
Find the difference between8/15 and −2/3. Show all calculations in your final answer.
Answer:
6/5
Step-by-step explanation:
8/15 - (-2/3)
8/15 + 2/3
24 + 30/45
54/45 = 6/5
Thus, the difference between 8/15 and -2/3 is 6/5
Start by changing the minus a negative to plus a positive.
So we have 8/15 + 2/3.
To add these two fractions together, we need a common denominator.
The common denominator is simply the
least common multiple for the two denominators.
You should find that the least common multiple is 15.
Since 8/15 already has 15 as its denominator, leave it.
To get a denominator of 15 in 2/3, we multiply top
and bottom of 2/3 by 5 to get 10/15.
So we have 8/15 + 10/5.
This simplifies to 18/15.
Now reduce to get 6/5.
Solve each system of equations 4x+6y=3 and -10x-15y=-4
Answer:
There is no solution
Step-by-step explanation:
they all subtract eachother out
