Mathematics High School
Answers
Answer 1
Answer:
2/3
Step-by-step explanation:
The formula for the slope is:
[tex]\frac{y2-y1}{x2-x1}[/tex]
Plug in (7,1) and (10, 3):
[tex]\frac{3-1}{10-7} = 2/3[/tex]
Related Questions
Someone please give me the answer to this
Answers
The ascending order of the given numbers is 2×[tex]10^{-4}[/tex] <0.004< 4×[tex]10^{-2}[/tex] < 0.042 < 0.24
The first number = 0.24
The second number = 4×[tex]10^{-2}[/tex]
The second number is the form of scientific notation. To compare the numbers, all the numbers should be in same form. So we have to convert the scientific notation to the decimal form
4×[tex]10^{-2}[/tex] = 0.04
The third number = 0.042
Third number is decimal form
The fourth number = 2×[tex]10^{-4}[/tex]
Convert the scientific notation to the decimal form
2×[tex]10^{-4}[/tex] = 0.0002
The fifth number = 0.004
The order of the numbers from least to greatest
= 2×[tex]10^{-4}[/tex] <0.004< 4×[tex]10^{-2}[/tex] < 0.042 < 0.24
Hence, the order of the given numbers from least to greatest is 2×[tex]10^{-4}[/tex] <0.004< 4×[tex]10^{-2}[/tex] < 0.042 < 0.24
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Help me with this problem will mark brainelist answer needs to be in scientific notation!
Answers
Answer:2.04x10 to the 4th
Step-by-step explanation:
multiply 20.4 x 1000
Then write the answer like this: 20,400
now make a decimal under ten countaining all #s that arent 0: 2.04
count the decimal places between the end of the 2 and the last 0 in the number 20,400
There are 4 places so thats 10 the power of 4
Now just put it all together
What are the roots of the roots of the function f(x)=x^2+2x-1
Answers
The roots of the function f(x) = [tex]x^2+2x-1[/tex] are
x = [tex]-1+\sqrt{2}[/tex]
x = [tex]-1-\sqrt{2}[/tex]
The function is given f(x)= [tex]x^2+2x-1[/tex]
The roots of given function will be at f(x) = 0
Substitute the value in the equation
[tex]x^2+2x-1[/tex] =0
Here to find the roots of the function, we have to use the quadratic formula in the given function
Roots of the function = [tex]\frac{-b+/-\sqrt{b^2-4ac} }{2a}[/tex]
From the given function the values of
a = 1
b = 2
c = -1
Substitute the values in the quadratic formula and find the roots of the function
= [tex]\frac{-2+/-\sqrt{2^2-4(1)(-1)} }{2(1)}[/tex]
= [tex]\frac{-2+/-\sqrt{4+4} }{2}[/tex]
= [tex]\frac{-2+/-2\sqrt{2} }{2}[/tex]
The roots of the given functions are
x = [tex]-1+\sqrt{2}[/tex]
x = [tex]-1-\sqrt{2}[/tex]
Hence, the roots of the function f(x) = [tex]x^2+2x-1[/tex] are
x = [tex]-1+\sqrt{2}[/tex]
x = [tex]-1-\sqrt{2}[/tex]
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I dont know what im doing Help Meeee
Answers
Answer:
the x = 0 and y = 1
so start off at the zero on the x-axis, and move up to the 1 on the y- axis
you got it, just remember that the x value is always first and is always horizontal on the coordinate plane and the y value is always the second number and vertical
What value of c in the equation cx+4y=12 would give the equation a slope of 8?
Please provide all work and steps you used to find your answer, or the answer is pretty much useless. Thank you!
Answers
The value of c in the equation cx+4y=12 would give the equation a slope of 8 would be 32.
What is the slope of a straight line?
A straight line of the form y = MX + c has its slope as 'm'
It is constant for a line. The more the slope is, the steeper the line is.
Sign convention takes bottom left to top right going line as positive sloped. And that line which goes from bottom right to top left is taken to have a negative slope. The horizontal line has 0 slopes and the vertical line has an infinite slope, as it is now at maximum steepness.
We have been given the equation cx+4y=12 which has a slope of 8.
Also cx+4y=12
4y = 12 - cx
y = 12/4 - cx/4
y = 3 - cx/4
Then we know that straight line of the form y = mx + c
By comparing the formula;
y = 3 - cx/4
Slope = c/4 = 8
c/4 = 8
c = 8(4)
c = 32
Therefore, the value of c in the equation cx+4y=12 would give the equation a slope of 8 would be 32.
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A bowl is used to serve punch for a party.
Which figure would be best to use to estimate the volume of the punch bowl?
C
Answers
Semicircle is the best figure to use to estimate the volume of the punch bowl.
What is meant by volume?Every three-dimensional object requires some amount of space. The volume of this space is measured. Volume is defined as the space occupied by an object within the boundaries of three-dimensional space. It is also known as the object's capacity. The liquid state has a definite volume but no definite shape. A solid state has a definite volume and a definite shape. Even if the containers are changed, the solid's shape and volume remain constant. Volume is a measurement of an object's capacity. For example, the volume of a cup is 100 ml if it can hold 100 ml of water up to the brim.
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6) Arrange in ascending order: 0.3,
26%, ½
Answers
Answer:
0.3,1/2,26%
Step-by-step explanation:
ascending order if arranging from smallest to highest .In this case, 0.3 Is the smallest followed by 1/2 and then 26%.
Find (g∘w)(x)and (w∘g)(x)for g(x)=7x−4 and w(x)=x2−7x+3(g∘w)(x)=(w∘g)(x)=
Answers
In order to calculate the composite function (gow)(x), that is, g(w(x)), we need to use w(x) as the input (value of x) in the function g(x).
So we have:
[tex]\begin{gathered} g(x)=7x-4 \\ g(w(x))=7w(x)-4 \\ g(w(x))=7(x^2-7x+3)-4 \\ g(w(x))=7x^2-49x+21-4 \\ g(w(x))=7x^2-49x+17 \end{gathered}[/tex]
Now, calculating (wog)(x), we have:
[tex]\begin{gathered} w(x)=x^2-7x+3 \\ w(g(x))=g(x)^2-7g(x)+3 \\ w(g(x))=(7x-4)^2-7\cdot(7x-4)+3 \\ w(g(x))=49x^2-56x+16-49x+28+3 \\ w(g(x))=49x^2-105x+47 \end{gathered}[/tex]
please solve the questions on the paper
Answers
The values of the equations that are given will be:
17. b + 9 and -b + 7
18. c - 4 and c + 4
19. a + b - c and a + b + c
20. 5 + 2b and 5 - 2b
21. 4 - h - b and -b + h - 4
22. 2 - b - 2h and b - 2
How to express the equation?
Based on the information given, it should be noted that the equations will be expressed thus:
It should be noted that an equation is used to show the relationship between the variables. The equations will be:
17. |b + 1| + 8
= b + 1 + 8
= b + 9
and
|b + 1| + 8
= -b - 1 + 8
= -b + 7
18. 5 - |c + 1|
= 5 - c + 1
= - c + 4
= c - 4
and
5 - |c + 1|
5 + c - 1
= c + 4
19. |a + b|- c
= a + b - c
and
-a - b - c
Multiply through by -
= a + b + c
20. 5 + |2b|
= 5 + 2b
and
5 + |2b|
= 5 - 2b
21. |4 - h| - b
= 4 - h - b
and
-4 + h - b
= -b + h - 4
22. |2 - b - h| - h
= 2 - b - h - h
= 2 - b - 2h
and
-2 + b + h - h
= b - 2
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I don't understand this question
can u please help!
i will give u 11 points <3
Answers
Answer:
year 7 have 135 students
year 9 have 45 students
Step-by-step explanation:
200=total students
360=value of the whole chart
1/2×360
=180
year 8 have 180students
360-180=180
the students remain are 180
1/4×180
=45
year 9 have 45 students
180-45
=135
year7 have 135 students
If a company's current sales revenue is $1,386,000 and its marketing objective is to increase sales by 10 percent during the next year, what is the dollar sales goal or the following year?
Answers
Answer: ales revenue = 1,386,000 dollars Increase sales in percent = 10 percent Increase sales in dollars = 1,386,000 dollars * 0,1 = 138,600 dollars New sales goal in dollars = 1,386,000 dollars + 138,600 dollars = 1,524,600 dollars
New sales goal is 1,524,600 dollars.
Step-by-step explanation:
identify if the following statement is a proper interpretation of a 95% confidence interval 95% of the population values will fall within this variable
Answers
option a , c and d are the correct statement or is a proper interpretation of a 95% confidence interval 95% of the population values will fall within this variable
What is the 95% confidence interval for a population mean?
It means that for any given number of samples, 95% of them will fall within 2 standard errors of the true mean of the population the sample is derived from.
a. In 95% of all samples, the sample mean will fall within 2 standard errors of the true population mean.
c. In 95% of all samples, the true population mean will be within 2 standard errors of the sample mean.
d. 95% of the population values will lie within 2 standard errors of the sample mean.
therefore option a , c and d are correct
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The number of students at Longview Middle School decreased by 0.75% from the number of students the previous year. To represent the percent, Don uses a 10 × 10 grid and divides one of the squares in the grid into 100 smaller squares. How many of the smaller squares will be shaded to represent 0.75%?
The area of Nevada is about 245% of the area of Ohio. How many squares would be shaded on 10 × 10 grids to represent 245%?
Answers
The number of the smaller squares which would be shaded to represent 0.75% as given in the task content is; 75.
The number of squares to correctly represent 245% on the grid is; 245.
What is the number of smaller squares which would be shaded to represent 0.75%?
It follows from the task content that; To represent the percent, Don uses a 10 × 10 grid and divides one of the squares in the grid into 100 smaller squares.
Since each Square in the 10 × 10 grid represents 1%, it follows that on division of one of the squares in the grid into 100 smaller squares;
The percentage, 0.75% can be represented by shading 75 smaller squares.
Also, the number of squares to be shaded on 10 × 10 grids to represent 245% according to the task content is; 245. This follows from the fact that, all 100 squares on the on 10 × 10 grids represent 100%.
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jack strong has $50,000 of wealth. he is participating in a jujitsu competition. the prize is $10,000. he is guaranteed to win it (he has black belt) unless he breaks his arm. if his arm is broken, he will lose the tournament and he will have to pay $5,000 in medical expenses. jack thinks that the probability of him breaking his arm during a tournament is 5 percent. he can get a medical insurance at a price of $.3 dollars for each $1 of coverage.
Answers
He’ll get the prize of dollar 10000, then the consumption after adding dollar 1500 is: $10000 + $1500 = $11500
a) the derive equation is 50000 + 10000 + x
jack has maximum amount of wealth = $50,000
When he participated in a jujitsu competition then the prize amount = 10,000
Then we will take a variable x for derive the equation which will depend on that he will win and loose :
Here,
the equation is = 50000 + 10000 + x
b) His consumption after not purchasing medical insurance is $15000.
if, he does not purchase medical insurance then he has no coverage of insurance and
He’ll lose the tournament and he’ll have to pay medical expenses dollar 5000 and also the prize amount $10000
So, his consumption after not purchasing medical insurance is:
$10000 + $5000 = $15000
c) when he will purchase medical insurance then his total consumption is $3500
his consumption if he purchase medical insurance, he will give dollar1 for medical insurance and will get in return dollar .3 ,
When he will have to pay for medical insurance $5000, then he’ll get the coverage on medical insurance:
0.3 * 5000 = $1500
Now, subtracting the amount of medical insurance which he’ll have to pay:
$5000 - $1500 = $3500
He’ll get the prize of dollar 10000, then the consumption after adding dollar 1500 is:
$10000 + $1500 = $11500
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EASY POINTS WILL GIVE BRAINLIST TO BEST ANSWER
Determine if the sequence is arithmetic. If it is, find the common difference, the 21st term, the explicit rule, the recursive rule, and the three terms in the sequence after the last one given.
7, 4, 1, -2, ...
Answers
The nth term of the arithmetic sequence when the numbers given are 7, 4, 1, -2 is 6 - 3n.
What will the sequence be?
It should be noted that an arithmetic sequence has a common difference. In this case, the values that are given include 7, 4, 1, -2.
First term = 7
The common difference between the numbers include:
= Second term - First term
= 4 - 7
= -3
The nth term will be:
= a + (n - 1)d
where a = 7
d = -3
= a + (n - 1)d
= 7 + (n - 1) -3
= 7 -3n - 1
= 6 - 3n
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Find the measure of angle TRS.
Answers
The measure of the angle TRS = 46°
The angles given in figure are :
angle QSR = 110°
angle STR = 64°
angle QRS = 2x-10°
We will find the angle TRS using these given angles and some angle properties in a triangle.
We have the fact that sum of three angles of a triangle = 180°
So angle TRS + angle RST + angle STR = 180°
angle QSR and angle RST are supplementary. i.e., their sum = 180°
So angle RST = 180° - 110° = 70°
So angle TRS = 180°- (70°+64°) = 46°
Using angle TRS we can also find angle QRS and thereby, the value of x.
From the figure, angle QRT = 90°.
So angle QRS = 90°-angle TRS
⇒ 2x - 10° = 90° - 46°
⇒ 2x = 44° + 10°
⇒ x = 54°/2
⇒ x = 27°
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omsomfigure2.52base a 20 cmfigure B:ta20 cm5 pmfigure.boromomsomfigure D:tasarea 2018.paretAmong these figures, gureand figurehave the same volume
Answers
We will compute the volume of each figure.
1) Figure A
We have a cone with:
• Ab = base area = 20 cm²,
,
• h = heigh = 5 cm.
The volume of the cone is:
[tex]V_A=\frac{1}{3}\cdot A_b\cdot h=\frac{1}{3}\cdot(20cm^2)\cdot5\operatorname{cm}\cong33.3cm^3\text{.}[/tex]
2) Figure B
We have a cylinder with:
• Ab = base area = 20 cm²,
,
• h = heigh = 6 cm.
The volume of the cylinder is:
[tex]V_B=A_b\cdot h=20cm^2\cdot6\operatorname{cm}=120cm^3.[/tex]
3) Figure C
We have an inclined cylinder with:
• Ab = base area = 20 cm²,
,
• h = heigh = 5 cm.
The volume of the inclined cylinder is:
[tex]V_C=A_b\cdot h=20cm^2\cdot5\operatorname{cm}=100cm^3.[/tex]
4) Figure D
We have a parallelepiped with:
• Ab = base area = 20 cm²,
,
• h = heigh = 5 cm.
The volume of the parallelepiped is:
[tex]V_D=A_b\cdot h=20cm^2\cdot5\operatorname{cm}=100cm^3.[/tex]
5) Figure E
We have an inclined square pyramid with:
• Ab = base area = 20 cm²,
,
• h = heigh = 10 cm.
The volume of the square pyramid is:
[tex]V_E=\frac{1}{3}\cdot A_b\cdot h=\frac{1}{3}\cdot(20cm^2)\cdot10\operatorname{cm}\cong66.67cm^3\text{.}[/tex]
Answer
Among these figures, figure C and figure D have the same volume.
Final exam scores in a mathematics course are normally distributed with a mean of 71 and a standard deviation of 12. Fill in the missing information
Percentile: 99.87
Z-score: ?
Exam score: ?
Answers
Answer:
See below
Step-by-step explanation:
99.87-71 = 28.81 this is 28.81/12 = z-score = +2.4
corresponding to .9918 ( from z-score table) = a score of 99.18%
Marta went to the local discount store to stock up on school supplies. She bought four spiral notebooks at $1.50 each, a package of pens for $3.95, three felt tip markers at $.99 each, and a three-ring binder for $5.00. The sales tax is 6.5%. What was the total price Marta paid at the checkout counter?
Answers
Answer: 18.7598
Step-by-step explanation:
4 x 1.50= 6
6+ 3.95=9.95
3x 0.99= 2.97
2.97 + 9.95= 12.92
12.92+ 5= 17.92
6.5% of 12.92= 0.8398
6.5% of 12.92 + 17.92= 18.7598.
Write an equation of the line that passes through each pair of points
Answers
[tex](\stackrel{x_1}{-10}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{-5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-5}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{(-10)}}} \implies \cfrac{-9}{2 +10} \implies \cfrac{ -9 }{ 12 }\implies -\cfrac{3}{4}[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{-\cfrac{3}{4}}(x-\stackrel{x_1}{(-10)}) \implies y -4= -\cfrac{3}{4} (x +10) \\\\\\ y-4=-\cfrac{3}{4}x-\cfrac{15}{2}\implies y=-\cfrac{3}{4}x-\cfrac{15}{2}+4\implies {\Large \begin{array}{llll} y=-\cfrac{3}{4}x-\cfrac{7}{2} \end{array}}[/tex]
Hello I really need help with this and this would help me a lot
Answers
Answer:
1.divide
2.minus
3.times
Evaluate the expression for x=-1,0, 1, 2
-3x + 4
X=0
X=-1
x = 1
X=2
Answers
Answer:
-3(-1) + 4 = 3 + 4 = 7
-3(0) + 4 = 0 + 4 = 4
-3(1) + 4 = -3 + 4 = 1
-3(2) + 4 = -6 + 4 = -2
Determine the rate of change of the graph (HELP PLEASE)
Answers
It's D because as you are going up, you are adding 4 to the x-axis and 3 to the y-axis
Solve the following inequality. 3x - 4 > 11
A. (∞ ,5)
B. (15, ∞)
C. (5, ∞)
D. [5, ∞)
Answers
3x - 4 > 11
15 it’s not that hard
answer: D. (5, ♾)
explanation:
first u need to solve for x:
3x - 4 > 11
3x > 15
x > 5
so if x is greater than 5, then the domain is above 5 to infinity, written as (5, ♾) instead of [5, ♾) because the bracket means greater than or equal to, but > is just greater than
Help please, geometry
Answers
The answer should be CAE.
Hope that helps
Lacy earned $900 last week before taxes, if she paid 19 % in taxes;
a) How much did she pay in taxes?
b) What is her net pay?
Answers
Answer: a) $171 b) $729
Step-by-step explanation:
a) 0.19 * $900 = $171
b) net pay = the money one earns after all deductions
$900 (what she earned) - $171 (taxes she had to pay) = $729
if two distinct numbers are selected at random from the first seven prime numbers, what is the probability that their sum is an even number? express your answer as a common fraction.
Answers
The probability that a sum is an even number will be 5/7.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a proposition is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty. The probability is typically defined as the proportion of favorable outcomes to all outcomes in the sample space. The probability of an event P(E) = (Number of favorable outcomes) is how it is stated (Sample space).
So, the first 7 prime numbers:
2,3,5,7,11,13,17
Then,
Even numbers are always produced when two odd numbers are added together.Odd numbers are always created when Even numbers are added to Odd numbers.In the list of 7, there is only one even number. If that is one of the options, then the outcome will only be odd.As the same number cannot be chosen twice, there is a 6/7 chance that it won't be chosen the first time and a 5/6 chance that it won't be chosen the second time.
By multiplying these two probabilities, we can determine the likelihood of an even sum.
5/6 × 6/730/425/7
Therefore, the probability that a sum is an even number will be 5/7.
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write the equation of the line that passes through the point (-9, 2) and is perpendicular to the line 10x - 5y = 6
Answers
The equation of the line that passes through the point (-9, 2) and is perpendicular to the line 10x - 5y = 6 is y = - 1 / 2 x - 5 /2
How to find equation of a line?
The equation of a line can be represented in slope intercept form.
Therefore,
y = mx + b
where
m = slopeb = y-intercept
Therefore, the equation of the line is perpendicular to 10x - 5y = 6.
5y = 10x - 6
y = 2x - 6 / 5
Perpendicular lines follows the rule below:
m₁m₂ = -1
Therefore,
2m₂ = -1
m₂ = -1 / 2
The slope of the line is - 1 / 2. Now, let's find the equation of the line as it passes through (-9, 2)
y = - 1 / 2 x + b
2 = - 1 / 2 (-9) + b
2 = 9 / 2 + b
b = 2 - 9 / 2
b = 4 - 9 / 2
b = - 5 / 2
Therefore, the equation of the line is as follows:
y = - 1 / 2 x - 5 /2
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Select the correct answer.
Choose the system of inequalities that best matches the graph below.
O A. y 22 +1
y ≤ 2+2
OB. y
-3
FI
≤z + 1
y ≥ 2x + 2
2z + 1
2+2
y2 2z+1
y2z+2
O D.
O c. y ≤
y ≥
Answers
Answer: The answer is C. You start off by first thinking about your slope equation, being y=Mx+b. Remember b equals your y- intercept. In this case one of your y-intercepts is positive 1 and the other is positive 2. Now you have the “b” part of the equation. Looking for slope or your “mx” part of the equation is next. All this is going to be is the rise over the run from your y intercept. How much did you rise and how much did you run to get to the next point. Both of these slopes are going up therefore both slopes will be positives. For the first one it rises 2 and runs 1 to get to the next point, however you do not need to write the one at the bottom of the 2 and can leave it as “2x+1”, because it is shaded below the red line the inequality will be less than or equal to
. The blue slope rises 1 and runs 2, it is written as
and because it is shaded above the blue one it will be greater than or equal to
.
Step-by-step explanation:
Considering the linear functions on the graph, the inequality that matches the situation is:
B. y ≥ x/2 + 2
y ≤ 2x + 1
What is a linear function?
A linear function is modeled by:
y = mx + b, In which: m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
here, we have,
The lower bound of the interval is a linear function with
y-intercept of b = 2,
that also passes through (2,3), hence the slope is:
m = (3 - 2)/(2 - 0)
= 1/2.
Hence the inequality is:
y ≥ x/2 + 2
The upper bound of the interval is a linear function with y-intercept of b = 1, that also passes through (2,5), hence the slope is:
m = (5 - 1)/(2 - 0) = 2.
Hence the inequality is:
y ≤ 2x + 1
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Brett earns a base salary of £78 per week plus a commission of 20% of sales. How much did Brett make last week if he managed to sell £85 worth of merchandise?
Answers
By taking the 20 percent of £85 and adding that to the base salary, we can see that last week Brett earned £95
How much did Brett make last week?
Here we need to work with percentages. We know that Brett wins a commission of 20% of sales.
So, if he sells a total amount of A (A is in dollars). Then what he gets is:
0.2*A
Where 0.2 is the decimal form of 20%.
Here we know that Brett wins £78 as a base, and last week he sell a total of £85, then the amount he gets by the commission is:
0.2* £85 = £17
Adding that to the base he already earns each week, we get:
£78 + £17 = £95
In this way, we conclude that last week Brett earned £95
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