Henrietta’s family is on a road trip from new york city to los angeles ca they have set a goal of reaching the 1,500 mile mark half way across the country by the end of the day tomorrow. when they ended their driving today, they had travelled 1,322 miles, and averaged a speed of 60 miles per hour. if they want to meet their goal, how many hours do they need to drive for tomorrow (assuming they are going to go at the same speed of 60 miles per hour) write and solve an inequality to represent this situation.

Answer:

Angle #1 is 45 degrees

Angle #2 is 60 degrees

Angle #3 is 75 degrees

Step-by-step explanation:

x- angle #1

y- angle #2

(180-x-y)- angle #3

3x=180-x

4x=180

x=45

180-x-y=y+15

y=60

180-60-45=

180-105= 75

Step-by-step explanation:

divide equation by 2

subtract 6

-x

Answer: See below

Step-by-step explanation:

[tex]$$Find the possible rational roots using the rational root theorem:$$x^{3}+x^{2}-3 x+12=0$$Select the coefficient of the leading term and the constant term:$1 x^{3}+x^{2}-3 x+12=0$\\Find the positive divisors of 12 and 1: \\\\Divisors of $12: 1,2,3,4,6,12$\\Divisors of $1: 1$\\Divide each of the divisors of 12 by 1 :\\$\frac{1}{1}, \frac{2}{1}, \frac{3}{1}, \frac{4}{1}, \frac{6}{1}, \frac{12}{1}$2, \pm 3, \pm 4, \pm 6, \pm 12$$[/tex]

[tex]$$Because both positive and negative values are valid candidates, the possible rational roots of $x^{3}+x^{2}-3 x+12=0$ are:$$\pm 1, \pm 2, \pm 3, \pm 4, \pm 6, \pm 12[/tex]

The velocity of the jogger will be 0.18 miles per minute.

Velocity is defined as the ratio of the distance moved by the object in a particular time. The velocity is a vector quantity so it needs both the magnitude and the direction.

Given that:-

The velocity will be calculated as:-

V   =   Distance  ÷   Time

V   =   8     ÷    45

V   =   0.18 miles per minute

Therefore the velocity of the jogger will be 0.18 miles per minute.

To know more about Velocity follow

https://brainly.com/question/25749514

#SPJ1

Answer:

Plug into desmos, the exact equation, and put in what point comes out.

Step-by-step explanation:

Answer:

Once fully solved, x is equal to 0, so it means that there is only one solution

Step-by-step explanation:

When you combine like terms (without adding variables to either side), the equation is equal to:

2x + 5 = 8x + 5

Then, the next step is:

5 = 8x + 5 - 2x

Finally, the last one is:

0 = 6x, which is x = 0.

Reason:

The standard error of the mean has the formula [tex]\frac{\sigma}{\sqrt{n}}[/tex] where [tex]\sigma[/tex] (greek letter sigma) is the standard deviation and n is the sample size.

As n gets bigger, the standard error [tex]\frac{\sigma}{\sqrt{n}}[/tex] gets smaller, and vice versa. This assumes sigma is fixed. A larger sample indicates the error goes down to narrow in better on the population mean.

Based on what I mentioned, this tells us that sample A has the larger standard error since n = 350 is smaller than n = 500 for sample B.

Answer:

[tex]709*68=48212[/tex]

ans = 48212

Using the slope concept, it is found that the kite is 46.50 feet above the ground.

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem:

Hence:

tan(24º) = (3.5 + x)/105.

3.5 + x = 105tan(24º)

x = 105tan(24º) - 3.5

x = 43.25 ft.

Hence, the height of the kite is:

43.25 ft + 3.25 ft = 46.50 feet.

More can be learned about the slope concept at https://brainly.com/question/18090623

#SPJ1

Answer:

Step-by-step explanation:

�

105

105

x

​

sin

24

1

=

1

sin 24

​

=

�

105

105

x

​

105

sin

24

=

105 sin 24=

�

x

Cross multiply.

�

=

42.707347...

x=42.707347...

Type into calculator.

Add 3.25, the distance from the ground to his hand:

Add 3.25, the distance from the ground to his hand:

42.707347...

+

3.25

=

42.707347...+3.25=

45.957347...

45.957347...

≈

≈

46

46

Round to the nearest tenth.

The kite is 46 feet above the ground.

The kite is 46 feet above the ground.

The given equation represents a function and inverse of the function exist if x ≥ 6.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

y = 2(x – 5)² – 6

Part A:

Using vertical line test, we can find the whether the graph is a function or not.

After drawing a graph for the given curve, and drawing a vertical line.

The vertical line touches only one point for the one input.

The given equation represents a function.

Part B:

Replace x → y and y → x

x = 2(y – 5)² – 6

2(y – 5)² = x + 6

[tex]\rm y^-^1 = \sqrt{\dfrac{x+6}{2}} +5[/tex]

Plug x = 1 in the y:

y = 26

Plug  [tex]\rm y ^-^1[/tex] = 1 in inverse of a function:

x = 26

Thus, the given equation represents a function and inverse of the function exist if x ≥ 6.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

Answer:

Clyde has 14 pencils in his backpack

Step-by-step explanation:

Let x be the number of pencils that Clyde has in his backpack.

We can translate this statement “Steve hade 17 pencils in his backpack. this represents 5 more than 6/7 the number of pencils that Clyde has in his backpack” mathematically like this :

[tex]17=5+\frac{6}{7} x \\\\ \Longleftrightarrow 17-5=\frac{6}{7} x \\\\ \Longleftrightarrow 12=\frac{6}{7} x \\ \\\Longleftrightarrow x=\frac{12\times 7}{6} =14[/tex]

Let he has n pencils

So

[tex]\\ \rm\hookrightarrow \dfrac{6n}{7}+5=17[/tex]

[tex]\\ \rm\hookrightarrow \dfrac{6n}{7}=12[/tex]

[tex]\\ \rm\hookrightarrow 6n=84[/tex]

[tex]\\ \rm\hookrightarrow n=14[/tex]

Answer:

254/54797

Step-by-step explanation:

image attached

ans = 0.00369913687

hope it helps...!!!!

Answer:

20 cm²

Step-by-step explanation:

If the given shape has been enlarged by scale factor 2, then each of the side lengths will be increased from 1 cm to 2 cm, as 1 × 2 = 2

Area of the given shape is 5 cm².

As we are working with area, we cannot simply multiply the area of the given shape by the scale factor.  Area is measured in square units, therefore we need to multiply the area of the given shape by the square of the scale factor.

⇒ area of the enlarged shape = area of given shape × sf²

                                                  = 5 cm² × 2²

                                                  = 5 cm² × 4

                                                  = 20 cm²

(see attached image for proof)

The probability of at least one of the coins showing heads is 4

Answer:

? ≈ 6.5 yd

Step-by-step explanation:

the area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

here A = 13.3 and h = 4.1 , then

[tex]\frac{1}{2}[/tex] × 4.1b = 13.3 ( multiply both sides by 2 to clear the fraction )

4.1b = 26.6 ( divide both sides by 4.1 )

b = ? ≈ 6.5 yd ( to the nearest tenth )

Answer:

1600 / 1.1^10 = $616.87

Step-by-step explanation:

Im not so sure, but here

the value of the diamond ring 10 years ago was approximately $419.47

To find the value of the diamond ring 10 years ago, we need to calculate its original value before the annual appreciation.

Let's assume the original value of the ring 10 years ago was "x" dollars.

After 10 years, with an annual appreciation rate of 12%, the value of the ring became $1200.

The formula to calculate the future value (FV) of an investment with compound interest is:

FV = PV * (1 + r)ⁿ

where:

FV = future value

PV = present value (original value)

r = annual interest rate (as a decimal)

n = number of years

In this case, we have:

FV = $1200 (present value after 10 years)

r = 12% (0.12 as a decimal)

n = 10 years

Now, we can rearrange the formula to find the original value (PV):

PV = FV / (1 + r)ⁿ

PV = $1200 / (1 + 0.12)¹⁰

PV = $1200 / 2.85610019

PV ≈ $419.47

So, the value of the diamond ring 10 years ago was approximately $419 (rounded to the nearest dollar).

Learn more about compound interest here

https://brainly.com/question/33985232

#SPJ2

Answer:

$20.90

Step-by-step explanation:

If we want to find Aiden's hourly rate, and we know how long he worked, and how much money he made, then we can simply divide his profit by how long he worked. This will give us the precise amount of money he made per hour.

So,

$334.40 / 16 hours = 20.9

This means Aiden earned approximately $20.90 per hour.

Hope this helped!

Answer:

5x-7y+35=0.

Step-by-step explanation:

1) according to the condition it is possible to make up the required equation:

[tex]\frac{x}{-7} =\frac{y}{5} =1;[/tex]

note, the numbers -7 and 5 are from the given coordinates;

2) if to re-write the equation into common form, then

5x-7y+35=0.

7¹⁴÷7²

= 7¹⁴-²

=7¹²

hope this helps:)

Answer:

1300 ppl

Step-by-step explanation:

35%  = .35 in decimal

.35 x =455

x = 455/.35 = 1300 ppl

Answer:

The GCF of 12 and 28 is 4

hope it helpsss

Answer: is 4 thats the answer

Step-by-step explanation: i have none im not good at explaining math welp have a good day

A current asset is an asset that can reasonably be expected to be sold, consumed, or exhausted through the normal operations of a business within the current fiscal year

Your information is incomplete. Therefore, an overview of the current asset will be given. Current assets are those that you can convert into cash within one year, such as short-term investments and accounts receivable.

Current assets include cash, cash equivalents, accounts receivable, stock inventory, marketable securities, pre-paid liabilities, and other liquid assets.

Learn more about assets on:

https://brainly.com/question/25746199

#SPJ1

Answer:

54 yards²

Step-by-step explanation:

First, we can find the area of the figure as a whole.

6 x 11 = 66

Now we have to find the area of the smaller rectangle

3 x 4 = 12

Finally, we subtract the whole and the smaller rectangle

66 - 12 = 54

Step-by-step explanation:

I only know the answer for the second task

Answer:

12 feet and 6inches ..................

Answer:

12 feet and 6 inches

Step-by-step explanation: