Steven's family traveled 7/10 of the distance to his aunt’s house on Saturday. They traveled 2/3 of the remaining distance on Sunday. What fraction of the total distance to his aunt’s house was traveled on Sunday?

The x-intercepts for the expression which is used by Jen and her friends to represent the height of the arch, in inches, at any value of x along the arch are 8,0) and (-3,0).

The factor of a quadratic is the terms in linear form, which are when multiplied together, give the original quadratic equation as a result.

Jen and her friends need to consider the robot’s height and its width at its base. The robot must be short enough and narrow enough to navigate through several arches along the obstacle course.

The expression to represent the height of the arch, in inches, at any value of x along the arch:

[tex]-x^2 + 5x + 24.[/tex]

Factorize this expression by equating it to zero and changing its sign,

[tex]\begin{aligned}-x^2 + 5x + 24=0\\x^2 - 5x - 24=0\\x^2 - 8x +3x- 24=0\\x(x - 8)+3(x - 8)=0\\(x-8)(x+3)=0\\x=8,-3\end[/tex]

Thus, the x intercept of the equation is (8,0) and (-3,0)

Hence, the x-intercepts for the expression which is used by Jen and her friends to represent the height of the arch, in inches, at any value of x along the arch are 8,0) and (-3,0).

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Answer: x = 8,0 and x = -3,0

Step-by-step explanation:

Answer:

The measure of angle s is 22°

Step-by-step explanation:

Given:

To find:

∠1 and 158° are both on a straight line and supplementary.

(Supplementary angles are those angles that sum up to 180 degrees. )

So solving,

⇒ ∠1=180°-158°=22°         ....> Angles ∠1 and S are interior angles

Due to lines A and B being parallel, all interior lines are equal.

As a result, the answer is therefore 22°.

The correct angle measurement DZW = 55°

Note the following parameters

, m∠W = 125° and m∠Z = 55°

The measure of angle <DYZ is given as:

<DYZ = 125 ⁰

The opposite angles of a parallelogram are equal.

This means that, angles W and Y have equal measures

This implies that

<ZWZ = <DYZ

<XWZ=125

The adjacent angle of a parallelogram add up to 180 degrees.

This is to say that

<DXW = 180 - <DYZ

<DXW= 180-125

<DXW= 25

Angles X and Z are equal because they are opposite angles.

This is to say that

<Z = 55

Hence, the  measure of angle DZW is 55⁰

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The length of the curve  r=√(1+cos 2θ) is 2π after integrating over the limit 0 to π√2

It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.

We have:

[tex]\rm r=\sqrt{(1 +cos 2 \theta)}[/tex]

[tex]\rm r=\sqrt{2cos^2 \dfrac{2 \theta}{2}[/tex]

[tex]\rm r = \sqrt{2}cos\theta[/tex]

[tex]\rm \dfrac{dr}{d\theta}= -\sqrt{2}sin\theta[/tex]

Length:

[tex]\rm L = \int\limits^{\pi\sqrt2}_0 {\sqrt{r^2+(\dfrac{dr}{d\theta}})^2} \, d\theta[/tex]

After the value of r and dr/dθ and solve the definite integral, we will get:

L = 2π

Thus, the length of the curve  r=√(1+cos 2θ) is 2π after integrating over the limit 0 to π√2

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Answer:

2 head and 1 tail form my side

The figures abcd, ghij and rstu are congruent figures, and the value of length ts is 8 cm

The congruent statement is given as:

abcd ≅ ghij and bcda ≅ rstu

The above statement means that:

ts = dc = ij

From the question, we have:

ij = 10 cm

This means that

ts = 10 cm

Hence, the value of length ts is 8 cm

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Answer:

D: 10 cm

Worked for me on the "Congruent Figures" quiz on edge

Based on the relationship between the temperature and altitude change, the slope is -3.6 and the y-intercept is 59. The equation of the line is y = - 3.6x + 59.

First find the slope. This can be found by the formula:

= (Y₂ - Y₁) / (x₂ - x₁)

Two points on line:

(0, 59) and (7, 33.8)

Slope is:

= (33.8 - 59) / (7 - 0)

= -3.6

The y intercept is the point the line crosses the y axis which is 59.

The formula is:

y = mx + c

Where;

m = slope

c = y intercept

So the equation is:

y = -3.6x + 59

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In any triangle, a side is longer than the difference between the other two.  A side is also less the the sum of the other two. If these two rules are not obeyed then a triangle cannot be formed by those sides.

a = 7 cm.   b = 3 cm.

    Then   c > 7-3 = 4 cm         and  also,   c < 7+3 = 10 cm.

                  4 cm < the third side < 10 cm

Answer:

b. 4x

Step-by-step explanation:

We can use the power rule for derivatives, which says [tex]\frac{d}{dx} x^n = nx^{n-1[/tex]

So, if [tex]f(x) = 2x^2 + 1[/tex]

then [tex]f'(x) = 4x[/tex].

The 1 goes away because the derivative of any constant is 0.

hope this helped!

Answer:

b. 4x

Step-by-step explanation:

We can use the power rule for derivatives, which says

So, if

then .

The 1 goes away because the derivative of any constant is 0.

Answer:

Width is 30mm

Step-by-step explanation:

Volume = L×W×H

Volume= 165,000 mm³

Length= 100mm

Height= 55mm

Width= ?

L×H

100mm×55mm= 5500mm

volume ÷ L×W

165,000÷5500=30

width= 30mm

L×W×H=V

100×55×30=165000

Answer:

a) 2(n + 5)

b) 2n + 5

Step-by-step explanation:

Writing an     algebraic expression:

  a) Sum of n and 5 ⇒   n + 5

     Twice sum of n and 5 ⇒   2*(n +5)  = 2*n + 2*5

                                                                = 2n + 10

b) Twice n ⇒ 2*n = n

Sum of twice n and 5 ⇒   2n + 5

Answer:

The amplitude is 10.

Answer:

the amplitude of this equation is 10

Step-by-step explanation:

I took extra mathematics in high school :)

I hope this helps you! Good luck !

The function h(x) =  6x² - 60x + 147 is a quadratic function, and the axis of symmetry of the function is x = 5

The equation of the function is given as:

h(x) =  6x² - 60x + 147

Differentiate the function

h'(x) = 12x - 60

Set the function to 0

12x - 60 = 0

Add 60 to both sides

12x = 60

Divide both sides by 12

x = 5

Hence, the axis of symmetry of the function is x = 5

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Answer:

X = 5 is correct

Step-by-step explanation:

just took the test on edge and got 100%

Answer:

The first thing that we need to do is subtract 4.5 from both sides because that would removed the 4.5 from the left side and leave us with m by itself.  So we get the following [tex]m=5.5[/tex] and that is our solution.

Hope this helps!  Let me know if you have any questions

Answer:

5.5

Step-by-step explanation:

to find additional value, subtract the known

[because 4.5 plus (+) a number (m) is equal to (=) 10, the number (m) must be equal to (=) 4.5 minus (-) 10.]

10 - 4.5 = 5.5

to find if this is correct, add it back

4.5 + 5.5 = 10

m = 5.5

hope this helps:)

Answer:

260cm²

Step-by-step explanation:

area of this parallelogram 20×13=260cm²

No, no lil one, you're going wrong.

Slove the rest by yourself

Remember:

Answer:

319

Step-by-step explanation:

So, to find the surface area, first we find the base area, which is: 11 x 11 = 121

Then, we have to find the area of the other faces. Since each face is a triangle, we can use the formula A = 1/2 x b x h.

So,

b = 11

h = 9

1/2 x 11 x 9 = 49.5

The, we multiply by 4, the number of sides: 49.5 x 4 = 198

Then, we add the 2, values: 121 + 198,

Which gives us: 319.

Hope this helped!

Answer:

The answer is A.

Answer:

Step-by-step explanation:

Comment

The marks between numbers (there are 3 between each number) represent 0.25

Your point is nearly -6.

Go one backwards -6 + 0.25 = - 5.75

You have to be going toward the positive direction because -6 is smaller than -5.75

Answer: A

Step-by-step explanation:

2×2×2×2

3 3 3 3

2×2×2×2

3×3×3×3

16

3×3×3×3 (divide)

= 16/81

hope it helpsss!!

can you mark me as the brainliest

Answer:

Step-by-step explanation:

Verify the answer choices for the final value of 2.

The distance between the two planes 4x-5y+z=16 and 8x-10y+2z=2 will be 2.34 units.

What is a plane?

A plane is a flat surface on which a straight line joining any two points on it would wholly lie.

Given equations are

[tex]4x-5y+z=16[/tex]

[tex]8x-10y+2z=2[/tex]

The distance between two planes is given by the formula:

[tex]D=\dfrac{|d_2-d_1|}{\sqrt{a^2+b^2+c^2}}[/tex]

Here from equations  

[tex]4x-5y+z=16[/tex]

[tex]8x-10y+2z=2[/tex]

We can also write the equation  [tex]8x-10y+2z=2[/tex]  as:

[tex]4x-5y+z=1[/tex]

So now the two equations are:

[tex]4x-5y+z=16[/tex]

[tex]4x-5y+z=1[/tex]

here a=4  b=-5  c =1 and d1=16  d2=1

Putting the values in the equation.

[tex]D=\dfrac{|-16+1|}{\sqrt{4^2+(-5)^2+(10^2)}}[/tex]

[tex]D=2.34[/tex]

Hence the distance between the two planes 4x-5y+z=16 and 8x-10y+2z=2 will be 2.34 units.

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Answer:

x>-2

Step-by-step explanation:

First you have to subtract 2 from both sides, which leaves you with -3x=6, then you have to divide -3 on both sides to get the variable by itself. Which is x<-2, but you have to switch the sign because you multiplied/divided by a negative number, then you get left with x>-2........Hope that helped!!!!!!!!!!:)

Answer:

6.6 yd

Step-by-step explanation:

[tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex]

[tex]10^{2}[/tex]+[tex]b^{2}[/tex]=[tex]12^{2}[/tex]        Substitute a= 10 and c=12

100+[tex]b^{2}[/tex]=144      Evaluate the Powers

[tex]b^{2}[/tex]=44               Subtract 100 on both sides.

b=[tex]\sqrt{44}[/tex]             Square root both sides b>0 so you dont need ⊥

b=6.6              Use a calculator to evaluate.

Answer:

He has 8 five $5 bills and 9 $1 bills

Step-by-step explanation:

($5×8)+($1×9)=$49

Answer:

5.136 is 5.1 to the nearest tenth

Answer:

Pythagorean triple

Step-by-step explanation:

This is usually expressed as a² + b² = c² Integer triples which satisfy this equation are Pythagorean triples. The most well known examples are (3,4,5) and (5,12,13).

Answer:

b:18 cups

Step-by-step explanation:

It is because 5.5 quarts of water is equal to 22 cups of water because 1 quart is equal to 4 cups.

now when you take 4 cups away you have 18 cups left

Answer:

4l of icecream

Step-by-step explanation:

10÷3=3.33

12÷4=3

The point estimate is 29.73% and the lower and upper limits are 26.63% and 32.83% respectively.

It is defined as an error that provides an estimate of the percentage of errors in real statistical data.

The formula for finding the MOE:

[tex]\rm MOE = Z\times \dfrac{s}{\sqrt{n}}[/tex]

Where   Z is the z-score at the confidence interval

            s is the standard deviation

            n is the number of samples.

Point estimate = 22/74 = 0.2973 = 29.73%

Lower limit = point estimate - MOE  = 29.73 - 3.1 = 26.63%

Upper limit = point estimate + MOE = 29.73 + 3.1 = 32.83%

Thus, the point estimate is 29.73% and the lower and upper limits are 26.63% and 32.83% respectively.

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