Answer:
Slope: -34
Point: (4, -3)
Step-by-step explanation:
This equation is written in point-slope form. The equation of a line in point-slope form is written as (y - y_1) = m(x - x_1).
x_1 and y_1 are the x and y coordinates of one point.m is the slope of the line.We are asked to find the point and slope of (y + 3) = -34(x - 4). We can automatically determine that the slope is -34 because that's where the variable, m, is. Next, we know that the x-coordinate is 4 because it's in the place of x_1. Lastly, the y-coordinate is -3 because it changes the subtraction sign to an addition sign, and it's in the place of y_1. Thus, the point would be (4, -3).
Have a lovely rest of your day/night, and good luck with your assignments! ♡
If you bought 100 shares of Starbucks stock for $45 a share two years ago and it is
now worth $65. How much would you make if you sold it now?
O $200
O $2,200
O None of the Above
O $2,000
Are the lines x = 2 and y = 5 parallel? Are the perpendicular? Explain.
=
Answer: Yes
Step-by-step explanation:
x=2 is a vertical line with an undefined slope, and y=5 is a horizontal line with a slope of 0. Since these lines have slopes that are negative reciprocals, they are perpendicular.
*How far can a train travel in 45 minutes if it is traveling at 80 miles per hour?
Answer:
53 miles
Step-by-step explanation:
80 miles per hour
x miles per 45 minutes
So, we know that an hour is 60 minutes so lets change the hour to that.
80 miles per 60 minutes
x miles per 45 minutes
Now, we do cross-multiplication:
[tex]\frac{x}{45}[/tex] [tex]\frac{80}{60}[/tex]
So, we multiply 80 by 45 which is 3200. Then, we divide 3200 by 60 which is 53.3. So, the train travels 53.3 miles in 45 minutes.
But to round it, it would be 53 miles.
Hope this helps
The number of miles traveled by train in 45 minutes will be 60 miles.
What is speed?Speed is defined as the length traveled by a particle or entity in an hour. It is a scale parameter. It is the ratio of length to duration.
We know that the speed formula
Speed = Distance/Time
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The speed of the train is 80 miles per hour. Then the number of miles in 45 minutes is calculated as,
80 = D / (45 / 60)
D = 80 x 45 / 60
D = 60 miles
The number of miles traveled by train in 45 minutes will be 60 miles.
More about the speed link is given below.
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Please help fast I rlly need the help rn I need to finish this
Answer:
30 in³
Step-by-step explanation:
surface area = 2(2 * 5 + 5 * u + 2 * u) = 62
2(10 + 5u + 2u) = 62
2(10 + 7u) = 62
10 + 7u = 62/2 = 31
7u = 31 - 10 = 21
so u = 21/7 = 3 in
Volume = 2 * 5 * 3 = 30 in³
20 m/h
10. An aeroplane travel 2000 miles in 2
hours, what is its speed?
Answer:
1000 mph or 1000 miles per hour
Step-by-step explanation:
Speed = Distance/time, 2000miles/2hours=1000 miles per hour or 1000 mph
Circumference of the circle
R=9in
Answer:
C = 56.52 Inch.
Step-by-step explanation:
Formula: C = 2πr
C = 2π (9)
C = 18π
C = 18 (3.14)
C = 56.52 Inches
1
Calculate the pressure exerted by a girl of 30kg if she is standing on only one
leg. (Area of her sole is 100 cm).
Soln
here
weight = 30 kg
Force = weight × 10
= 30×10
= 300
Area = cm
= 100/100
= 1
now,
Pressure = Force/Area
= 300/1
= 300 pa.
Nhat is the slope of the line whose equation is y-4=(x-2)?
A. - 5/2
B. - 2/5
C. 2/5
D. 5/2
See picture for math work and answer.
Which is the graph of y = sqrt x-3
Answer:
The second option
Step-by-step explanation:
The square root of a function could be smaller than 3, so the function could evaluate to less than 0, but the other 3 don't have any points smaller than 0. Therefore, the only possible option is the 2nd one.
Also, if you try to evaluate it in x = 0, which is sqrt(0)-3 = -3, the only option that satisfies that would be the second one.
I hope this helped.
The second option is the graph of y = √x-3.
Here, we have,
The square root of a function could be smaller than 3,
so the function could evaluate to less than 0, but the other 3 don't have any points smaller than 0.
Therefore, the only possible option is the 2nd one.
The graph of y = √(x) - 3 represents a square root function that is shifted vertically downward by 3 units.
The square root function itself is a curve that starts at the point (0, 0) and gradually increases as x increases.
By subtracting 3 from the square root function, the entire graph is shifted downward by 3 units.
This means that the new y-values of the graph are 3 units less than the corresponding y-values of the square root function.
Also, if you try to evaluate it in x = 0, which is √(0)-3 = -3,
the only option that satisfies that would be the second one.
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Your friend claims that because you can find the distance from a point to a line, you should be able to find the distance between any two lines. Is your friend correct? Explain your reasoning.
NO LINKS!!!
Please help with these parts!! parts b, c, and d
b. There are infinitely many solutions there are infinitely many numbers that are greater than or equal to 4
c. The boundary point for the inequality is at x=4 because any value less would make the inequality not true. The ralationship with the inequality is that it is the only solution that makes the inequality exactly equal to 13
d. (see image) just account for the x direction and ignore the y
A is solved according to you
#b
We have to create a interval notation to find
Let's check
[tex]\\ \rm\rightarrowtail 4x-3\geqslant 13[/tex]
[tex]\\ \rm\rightarrowtail 4x\geqslant 16[/tex]
[tex]\\ \rm\rightarrowtail x\geqslant 4[/tex]
So
[tex]\\ \rm\rightarrowtail x\in [4,\infty)[/tex]
Infinite solutions#c
Boundary is when the inequality becomes false
Here its
x=4#d
Attached
questions are in the pictures
Answer:
True
I hope this helps!
[tex]x+0.08+3.21\leq 60[/tex]
Which one is greater 0.5 or 1/2
Answer:
Both are equal.
Step-by-step explanation:
.5 is a decimal and you get it by dividing 1 by 2, or 1/2.
So 1/2 ultimately means .5.
What's the radius of a circle with 15 mm? please answer this question is easy!
Answer:
7.5
Step-by-step explanation:
If Circumference = 15 pi, then the diameter is 15 mm, so the radius = 7.5 mm.
A person metabolic rate is the rate at which the body consumes energy. Metabolic is important in studies of weight gain, dieting, and exercises. Here are the metabolic rates of 7 men who took part in study of dieting. (Unites are calories per 24 hours).Find the Variance & stranded deviation. 1666 1362 1614 1460 1867 1439
Answer:
mean= 1588 and Standard deviation=190.99
Step-by-step explanation:
Compact l x-2 l - l x-3 l
I need fast
Thank you !
P/s : l x l is absolute value
Answer:
You can't solve this without a specific value of x.
Step-by-step explanation:
Well, all that the absolute value sign means, is that you work in them like parenthesis, but when you "open them up" no matter what, the result will be positive.
So, | x - 2 | - | x - 3 | is just a showing you that you are going to have a positive answer for x - 2, and you are going to have a positive answer for x - 3.
Now, since we don't have a specific value for x, just to simplify this even more, lets just quickly substitute x = 1, just for a reference, so:
| 1 - 2 | - | 1 - 3 | = | -1 | - | -2 |
= 1 - 2
= -1
Ok, so we got that, now we can go back to the original problem. Since we really don't have a specific value for x, we can't really simplify this any further. Maybe if you had a specific value or placeholder for x, then you would be able to solve this.
Slove for x
Show all work
Answer:
x=15
Step-by-step explanation:
[tex]18^2=12(x+12)\\\\324=12(x+12)\\\\323=12x+144\\\\\cfrac{180}{12} =\cfrac{12x}{12} \\\\x=15[/tex]
~
Please answer this question
Answer:
the third one
Step-by-step explanation:
Answer:
I think the 3rd one
Step-by-step explanation:
A market researcher for a consumer electronics company wants to determine if the residents of a particular city are spending more time watching TV than the average for this geographic area. The average for this geographic area is 13 hours per week. A random sample of 16 respondents of the city is selected, and each respondent is instructed to keep a detailed record of all television viewing in a particular week. For this sample the viewing time per week has a mean of 15.3 hours and a sample standard deviation sn = 3.8 hours. Assume that the amount of time of television viewing per week is normally distributed. Can the researcher claim that the residents of this particular city are spending significantly (at 5% level) more time watching TV than the average for this geographic area? Explain your conclusion.
Answer:
The conclusion
There is sufficient evidence to conclude that the the residents of this particular city are spending significantly (at 5% level) more time watching TV than the average for this geographic area.
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = 13 \ hours\ per\ week[/tex]
The sample size is n= 16
The sample mean is [tex]\= x = 15.3[/tex]
The standard deviation is [tex]s = 3.8\ hours.[/tex]
The null hypothesis is [tex]H_o : \mu = 13[/tex]
The alternative hypothesis is [tex]H_a : \mu > 13[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{\= x - \mu }{ \frac{\sigma }{\sqrt{n} } }[/tex]
=> [tex]t = \frac{15.3 - 13 }{ \frac{ 3.8 }{\sqrt{16} } }[/tex]
=> [tex]t = 2.42[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = P(z > 2.42)[/tex]
From the z -table
[tex]P(z > 2.42) = 0.0077603[/tex]
=> [tex]p-value = 0.0077603[/tex]
From the values obtained we see that [tex]p-value < \alpha[/tex]
Hence we reject the null hypothesis
Therefore there is sufficient evidence to conclude that the the residents of this particular city are spending significantly (at 5% level) more time watching TV than the average for this geographic area.
In the diagram below, xy and yz are tangent to 0. What is the measure of
wz?
W!
0 120°
60°y
Z
A. 240°
B. 180°
C. 210°
D. 150
Answer:
240°
Step-by-step explanation:
measure of XWZ = 360 - 120 = 240°
The measure of arc wz is 240 degrees.
here, we have,
we know that,
A small arc is one with a measure of fewer than 180 degrees. A major arc is one with a measure greater than 180 degrees. A semicircle is an arc that divides a circle in half and has a measure of 180 degrees.
An arc is a continuous segment of a circle. There are two sections, one of which is larger than the other. The major arc is the larger one, and the minor arc is the smaller one.
Given:
From diagram, m ∠xz = 120 degrees.
We know that whole circle = 360 degrees
So, measure of arc wz = 360 - 120
= 240
Hence, the measure of arc wz is 240 degrees.
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What is the first step in solving the equation 2/3x+1/3x+2=5
PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA POINTS** !! DONT SKIP :((
Identify the vertex
y=x^2-2x-3
Answer:
The vertex is located at (1,-4)
Step-by-step explanation:
Equation of the Quadratic Function
The vertex form of the quadratic function has the following equation:
[tex]y=a(x-h)^2+k[/tex]
Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.
We have the following quadratic equation and we need to express it in vertex form. Thus, we need to complete the squares:
[tex]y=x^2-2x-3[/tex]
Adding and subtracting 1:
[tex]y=x^2-2x+1-3-1[/tex]
The first three terms are the square of a binomial:
[tex]y=(x-1)^2-4[/tex]
Comparing to the vertex form of a quadratic equation, the vertex is at (1,-4).
The vertex is located at (1,-4)
question is attached thanks
[tex]\\ \sf\longmapsto12x+7=10(x+1)-3[/tex]
[tex]\\ \sf\longmapsto 12x+7=10x+10-3[/tex]
[tex]\\ \sf\longmapsto 12x+7=10x+7[/tex]
[tex]\\ \sf\longmapsto 12x=10x[/tex]
[tex]\\ \sf\longmapsto x=10/12=5/6[/tex]
We need natural number
put 0[tex]\\ \sf\longmapsto 12(0)=10(0)[/tex]
Yes 0 is a solution
For every 6kg of a child's weight, pediatricians prescribe 17mg of acetaminophen. If Lexie weighs 48kg, how many milligrams of the acetaminophen will the pediatrician prescribe?
Using the Binomial distribution,
If n=10 and p=0.4, find P(x=5)
Answer:
P(x=5)=0.2
Step-by-step explanation:
Binomial Distribution
Consider a random event that has only two possible outcomes. Call p to the probability that the event has a 'successful' outcome, and q to the 'unsuccessful' outcome.
It's clear that p+q=1, or q=1-p.
Now repeat the random event n times. We want to calculate the probability of getting x successful outcomes. This can be done with the following formula:
[tex]\displaystyle P_{x} = {n \choose x} p^{x} q^{n-x}[/tex]
Where
[tex]\displaystyle {n \choose x}[/tex]
Is the number of combinations:
[tex]\displaystyle {n \choose x} =_nC_x=\frac{n !}{x ! (n-x) !}[/tex]
Calculate the probability for n=10, p=0.4, x=5. It follows that q=1-p=0.6:
[tex]\displaystyle P_{5} = {10 \choose 5}\cdot 0.4^{5}\cdot 0.6^{10-5}[/tex]
[tex]\displaystyle P_{5} = 252\cdot 0.4^{5}\cdot 0.6^{5}[/tex]
[tex]P_{5} = 0.2[/tex]
P(x=5)=0.2
¿Cuál es la fuerza por unidad de longitud que actúa
sobre un alambre recto que conduce una corriente de
9.40 A de manera perpendicular a un campo
magnético uniforme de 0.80 T?
La fuerza por unidad de longitud del cable recto que lleva es de 7,52 N/m.
¿Qué es la fuerza magnética?La fuerza magnética se refiere a la fuerza que experimenta un cuerpo en el campo magnético.
Tenemos la siguiente información;
Corriente (I) = 9,40 A
Campo magnético = 0,80 T
Dado que;
F = BIL senθ
Tenemos que encontrar la fuerza por unidad de longitud así;
F/L = BIsenθ
F/L = 0,80 T * 9,40 A Sen 90 = 7,52 N/m
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Write in standard form
0.0000684
2. A car costs $10,350 and decreases in value by 1% per month. How much will the car be worth
after 3 years?
Answer:
The car will be worth 6,624$ in 3-years
Step-by-step explanation:
Firstly we need to move the decimal two to the left, so the decimal form of 1% is 0.01.
Secondly, we make the equation by plugging in a multiplication sign and the cost of the car. Example - (0.01 x 10,350).
Now, that we have everything in an equation we can multiply 0.01 by 10,350, which will give us what 0.01 percent of 10,350 is, (103.5).
Lastly, we will subtract 103.5 from the cost of the car (10,350) to get the value of the car after the first month. The cost of the car will be $10,246.5. To find the value after the next two years we will repeat these steps...