The fraction 7/9 is found between which pair of fractions on a number line?
A) 3/5 and 3/4
B) 7/10 and 4/5
C) 7/10 and 3/4
D) 3/5 and 2/3

Answer:

We will use a Pythagorean identity and alegbra to prove this.

sin^2 + cos^2 = 1, dividing by cos^2 gives

tan^2 + 1 = sec^2.

Now, breaking down the fraction into parts and simplifying gives:

(1-sin^4)/cos^4 = 1/cos^4 - sin^4/cos^4 = sec^4 - tan^4

Now use difference of squares factoring from alegbra.

= (sec^2 + tan^2)*(sec^2 - tan^2)

By rewriting our Pythagorean identity to

sec^2 - tan^2 = 1 and tan^2 = sec^2 - 1,

we can finish the problem.

= (sec^2 + tan^2) * 1 = sec^2 + tan^2

= sec^2 + (sec^2 - 1) = 2*sec^2 - 1.

Answer:

-0.045

Step-by-step explanation:

you first take the derivate of A(t)

A'(t)=1.4e^-0.05t X (-0.05)

A'(t)=-0.07e^-0.05t

so when t=0

amount remaining is -0.07e^-0.05(0) ---- e^0 = 1

so its -0.07

when t=9

do the same thing,

-0.07e^-0.05(9) ---use calculator

-0.045

Answer:

7) m∠BHE = 146°

8) m∠BAC = 25°

Step-by-step explanation:

Given that, [tex]\displaystyle\mathsf{\overline{CD}\:||\:\overline{EF}}[/tex], and that [tex]\displaystyle\mathsf{\overline{AB}}[/tex] is a transveral.

We are also provided with the following measures of the angles: m∠DGH = 2x, and m∠FHB = 5x - 51.

∠DGH and ∠FHB are also corresponding angles, as they have corresponding positions on the same side of the transversal, [tex]\displaystyle\mathsf{\overline{AB}}[/tex]. These two angles also have the same measure.  

In order to find the measure of ∠BHE, we could set up an equality statement on ∠DGH and ∠FHB to solve for the value of x.

m∠DGH = m∠FHB

2x = 5x - 51

Add 51 and subtract 2x from both sides of the equation:

2x -2x + 51  = 5x - 2x - 51 + 51

51 = 3x

Divide both sides by 3:

[tex]\displaystyle\mathsf{\frac{51}{3}\:=\:\frac{3x}{3}}[/tex]

x = 17

⇒  m∠DGH = 2x = 2(17) = 34°,

⇒  m∠FHB = 5x - 51 = 5(17) - 51 = 34°.

Since ∠FHB and ∠BHE are supplements (whose sum add up to 180°), we could determine the measure of ∠BHE as follows:

m∠BHE + m∠FHB  = 180°

m∠BHE + 34° = 180°

m∠BHE + 34°- 34° = 180°- 34°

m∠BHE = 146°.

Therefore, the measure of ∠BHE is 146°.

Given that ΔABC with [tex]\displaystyle\mathsf{\overline{AC}}[/tex] extended to D, and that m∠ABC = 63° and m∠BCD = 92°:

The Exterior Angle Theorem states that the measure of an exterior angle of a triangle is equal to the sum of the two nonadjacent interior angles. In other words: ∠BCD = ∠BAC + ∠ABC.  

Before we could apply the Exterior Angle Theorem, we must first find m∠BAC. Since ∠BCD and ∠BCA are supplements:

m∠BCD + m∠BCA = 180°

92° + m∠BCA = 180°

92° - 92°+ m∠BCA = 180° - 92°

m∠BCA = 88°

Now that we have the measure for ∠BCA, we can find m∠BAC by applying the Triangle Sum Theorem where it states that the sum of the interior angles of a triangle is equal to 180°.

m∠BCD + m∠ABC + m∠BAC = 180°

92° + 63° + m∠BAC  = 180°

125° + m∠BAC  = 180°

155° - 155° + m∠BAC  = 180° - 155°

m∠BAC  = 25°

Therefore, the measure of ∠BAC is 25°.

Answer:

145% increase

Step-by-step explanation:

343 - 140 = 203

203/140 = 1.45

1.45 x 100 = 145

if the words after " 6 points fo" is "r each incorrect answer" then the answer is

18c - 6w > 500

explanation:

if she answers one correct, she'll get 18 points, so if she gets 18 correct, she'll get 18c points, same goes for each she gets incorrect but loses 6 points is +-6w, or simplified, -6w

Answer:

[tex]z = \frac{2}{7} [/tex] when x= [tex] \frac{6}{7} [/tex],

z= 179.2 when y= [tex] \frac{5}{28} [/tex]

Step-by-step explanation:

Let's start by writing out the two general equations for z.

Since z varies directly with x,

z= kx, where k is a constant.

Since z varies inversely with y,

[tex]z = \frac{k}{y} [/tex], where k is a constant.

When x= 12, z= 4,

4= k(12)

12k= 4

k= 4 ÷12

k= ⅓

∴ z= ⅓x

When x=[tex] \frac{6}{7} [/tex],

[tex]z = \frac{1}{3} ( \frac{6}{7} )[/tex]

[tex]z = \frac{2}{7} [/tex]

When y= 8, z= 4,

[tex]4 = \frac{k}{8} [/tex]

k= 4(8)

k= 32

[tex]∴z = \frac{32}{y} [/tex]

When y= [tex] \frac{5}{28} [/tex],

[tex]z = 32 \div \frac{5}{28} [/tex]

[tex]z = 32 \times \frac{28}{5} [/tex]

z= 179.2

Step-by-step explanation: (5√5)−2x+1=

1

5

(125x)−3

0.008x+1=

1

5

(125x)−3

Step 1: Flip the equation.

1

5

(125x)−3=0.008x+1

Step 2: Add 3 to both sides.

1

5

(125x)−3+3=0.008x+1+3

1

5

(125x)=0.008x+4

Step 3: Divide both sides by 1/5.

1

5

(125x)

1

5

=

0.008x+4

1

5

125x=0.04x+20

The  value of x is 46.

Exponents and powers can be used to represent extremely big or extremely small numbers in a more straightforward fashion.

The number of times a number is multiplied by itself is defined by the exponent. The power is an expression that displays the same number or factor being multiplied repeatedly.

Given:

[tex](5\sqrt{5} )^{-2x+1 }= 1/5 * 125^{x-3}[/tex]

ow, using exponents and powers

[tex](5\sqrt{5} )^{-2x+1 }= 1/5 * 125^{x-3}[/tex]

[tex](5\sqrt{5} )^{-2x+1 }= 1/5 * 5 ^{3(x-3)\\[/tex]

[tex](5\sqrt{5} )^{-2x+1 }= 5^{3x - 9 - 1}[/tex]

[tex](5\sqrt{5} )^{-2x+1 }= 5^{3x -10}[/tex]

[tex]5^{3/2(-2x+ 1)}= 5^{3x - 10}[/tex]

[tex]5^{-x+ 3/2}= 5^{3x -10}[/tex]

Now, Comparing

-x+ 3/2 = 3x- 10

-x - 3x = -10 - 3/2

-4x = -23/2

x= 46

Hence, the value of x is 46.

Learn more about Exponents and powers here:

https://brainly.com/question/15722035

#SPJ2

Answer:

b = 24 ft

h = 10 ft

Step-by-step explanation:

120 = ½hb

120 = ½h(3h - 6)

240 = h(3h - 6)

240 = 3h² - 6h

 80 = h² - 2h

    0 = h² - 2h - 80

    0 = (h - 10)(h + 8)

    h = 10 ft or -8 ft

 we ignore -8 as it makes no sense for a triangle side length.

b = 3(10) - 6 = 24 ft

[tex](x_1, y_1) = (6,-10),~~ (x_2, y_2) = (3,-13)\\\\\\\text{Slope,}~ m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{-13 +10}{3 -6} =\dfrac{-3}{-3} =1[/tex]

...ok and?

finish the question

Answer:

Step-by-step explanation:

[tex]\frac{1}{5}+\frac{1}{3}+x=1[/tex]

[tex]\frac{3}{15}+\frac{5}{15}+x=\frac{1.15}{15}[/tex]

[tex]\frac{8}{15} + x=\frac{15}{15}[/tex]

[tex]\frac{8}{15} - \frac{8}{15} + x=\frac{15}{15}-\frac{8}{15}[/tex]

[tex]x=\frac{7}{15}[/tex]

I think you are missing the question but I bet you are looking for the rest of chocolate in the box.

Answer:$2227.22

Step-by-step explanation: I answered your question in your comment. If its not right report it please.

Answer:

The flower is 9 meters from the base of the tree.

Step-by-step explanation:

Use the Pythagorean theorem to solve. We are given the length of one leg and the length of the hypotenuse of a right triangle.

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

where a and b are the legs, and c is the hypotenuse.

Plug in the given values and solve:

[tex]x^{2} +12^{2} =15^{2} \\x^{2} +144=255\\x^{2} =81\\x=9[/tex]

The flower is 9 meters from the base of the tree.

Work Shown:

AC = AB + BC

AC = (7x-24) + (6x - 2)

AC = (7x+6x) + (-24-2)

AC = 13x - 26

This works because segment AC is split up into two parts AB and BC which don't overlap. Refer to the segment addition postulate.

First subtract the difference between the two:

200 - 50 = 150

Now divide that by 2:

150/2 = 75

Bills share is $75

Now add the $50 to 75 to get Ann's share:

75 + 50 = $125

Ann's share is $125

Bill's share is $75

[tex]x = - \frac{2 \sqrt{3} + 12 }{11} [/tex]

hope it helps

see the attachment for explanation

[tex] \: [/tex]

Using proportions, it is found that 44 consecutive customers must round up the bills so that the percentage of people who donated increases to 50%, so option A is correct.

A proportion is the number of desired outcomes divided by the number of total outcomes.

Considering that 38 out of 120 customers rounded their bill up, with x customers added, the proportion will be of 38 + x out of 120 + x.

The desired proportion is 0.5, hence:

[tex]\frac{38 + x}{120 + x} = 0.5[/tex]

[tex]38 + x = 60 + 0.5x[/tex]

[tex]0.5x = 22[/tex]

[tex]x = \frac{22}{0.5}[/tex]

[tex]x = 44[/tex]

44 customers, so option A.

A similar problem is given at https://brainly.com/question/20571459

Step-by-step explanation:

x = number of hours driven

25 minutes = 5/12 hour

remember,

1 hour = 60 Minuten

5 minutes = 60/12 minutes = 1/12 hour

25 minutes = 5×5 minutes = 5/12 hour

x hours × 40 miles/hour = (x + 5/12) hours × 30 miles/hour

the dimensions "hour" eliminate each other from the top and the bottom of the fractions leaving only miles. and the miles must be the same either way.

40x = (x + 5/12)×30 = 30x + 150/12

10x = 150/12

x = 15/12 = 5/4 hours

40 miles/hour × 5/4 hours = 40×5/4 miles = 10×5 = 50 miles.

I drove 50 miles.

Answer:

Exact Form:

35/12

Decimal Form:

2.916- (6 goes on)

Mixed Number Form:

2 11/12

Using the z-distribution, it is found that the 90​% confidence interval for the percentage of successful challenges is (17.28, 29.34).

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].

31 out of 133 challenges were successful, hence:

[tex]n = 133, \pi = \frac{31}{133} = 0.2331[/tex]

90% confidence level, hence [tex]\alpha = 0.9[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so [tex]z = 1.645[/tex].  

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2331 - 1.645\sqrt{\frac{0.2331(0.7669)}{133}} = 0.1728[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2331 + 1.645\sqrt{\frac{0.2331(0.7669)}{133}} = 0.2934[/tex]

As percentages:

0.1728 x 100% = 17.28%

0.2934 x 100% = 29.34%

The 90​% confidence interval for the percentage of successful challenges is (17.28, 29.34).

A similar problem is given at https://brainly.com/question/16807970

Answer:

34 degrees

Step-by-step explanation:

If you know the 2 interior angles of a triangle, you can find the 3rd.

This is useless since this is a right triangle.

In this case:

v + 46 = 90

v = 34 degrees

You are welcome!

Kayden Kohl

8th Grade Student

Answer:

x= 67

Step-by-step explanation:

Angle CGE makes a 23 degree angle, and makes a 90 degree angle with CGB.

By subtracting 90 and 23, you get 67 degrees for the angle EGB.

Since angle EGB and angle AGF are vertical angles, they are the same. So, x would equal 67.

Answer:

x = 67°

Step-by-step explanation:

Solving for x

We know that AGC is a right angle, thus AGD has to be a right triangle as well. Angle CGE is 23°, which would mean that FGD is also 23°.

90°-23°=67°

Answer:

The answer should be A.

Step-by-step explanation:

Answer 2nd one

Step-by-step explanation:

9514 1404 393

Answer:

  B)  $3,622.50

Step-by-step explanation:

To find the tax, multiply the income by the tax rate:

  $51,750 × 0.07 = $3,622.50

Answer:

The answer would be 2.9 million is the population of the city in 1990 and 0.08 million is the increase per year in the population.

Hope it help and if it its correct please give brainliest  

Stay Safe And Healthy

Thank You

Answer:

$53.95

Step-by-step explanation:

[Setting up an equation] 12.45x = y

         () x is time worked and y is money made

[Plugging-in time worked] 12.45(4 [tex]\frac{1}{3}[/tex]) = y

[Multiply] 53.95 = y

[Answer] y = $53.95

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

5 tickets

Step-by-step explanation:

Each ticket costs $224 including the travel insurance and they are charged $22 regardless of the number of tickets they buy.

Therefore, the equation is 224x + 22 = 1142

First, you have to subtract the 22 from both sides to amount to 224x = 1120

Now, you divide 224 from 1120 to get 5

The family bought 5 tickets.

Answer:

Step-by-step explanation:

5 x 6:30