Answer:
D
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, 5) and (x₂, y₂ ) = (-3, - 2)
m = [tex]\frac{-2-5}{-3+3}[/tex] = [tex]\frac{-7}{0}[/tex] ← undefined
Note that division by zero is undefined thas the slope is undefined.
This indicates that the line going through the 2 points is vertical and parallel to the y- axis.
Answer:
Undefined
Step-by-step explanation:
When you calculate he slope it ends up being a vertical line
The formula for the volume V of a rectangular prism is V = ℓwh, where ℓ represents the length, w represents the width, and h represents the height. Rearrange the quantities in this formula to give a new formula for the width of the rectangular prism.
Answer: [tex]w=\dfrac{V}{lh}[/tex]
Step-by-step explanation:
Given: The formula for the volume V of a rectangular prism is V = ℓwh, where ℓ represents the length, w represents the width, and h represents the height.
We rearrange this formula by dividing ℓh both sides of the formula to get the new formula for the width of the rectangular prism, we get'
[tex]w=\dfrac{V}{lh}[/tex]
Hence, the new formula for the width of the rectangular prism. :
[tex]w=\dfrac{V}{lh}[/tex]
PLEASE HELP ON NUMBER 11 TO BE MARKED THE BRAINLIEST
Answer:
B) 1820
Step-by-step explanation:
10% = 2600 ÷ 10 = 260
30% = 260 x 3 = 780
2600 - 780 = 1820
Hope this helps! :D
On the graph of the equation 3x + 2y = 18, what is the value of the y-intercept? (1 point) −9 −6 6 9
Answer: The answer is y=9 i did the math twice to make sure.
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
The equation is in the form:
Ax + By =C
3x + 2y = 18
y-intercept = C/B = 18/2 = 9
Which statement below is true concerning the number 5/11?
Answer:
C. The number 5/11 is a rational number because it is a repeating decimal.
Step-by-step explanation:
The importance of this question is to distinguish a rational number from an irrational number.
A rational number can be written as a ratio or a set of repeating decimals.
An irrational number cannot be written as a ratio and cannot be represented by repeating decimals.
So out of the four options you have, the first two, A and B, are false, C is true, and D is false since rationality doesn't have anything to do with signs.
Cheers.
Jessica want to slowly decrease her daily caloric intake, which is currently 2500 calories per day. She plans to decrease her calorie intake by 40 calories every 2 days for the next 30 days. Determine a reasonable domain and range for this situation.
Answer:
domain is (0, 30)
Range is (1900, 2500)
Step-by-step explanation:
We are told that Jessica plans to decrease her calorie intake by 40 calories every 2 days for the next 30 days.
This means that the domain of this period is between 0 days to 30 days.
Thus, the domain is (0, 30)
Now,she plans decrease of 40 calories every 2 days. This amounts to an average of 20 calories a day.
Which means that in a month of 30 days, she would have decreased her daily calorie intake by; 20 × 30 = 600 calories.
Since she is currently on 2500 calories per day, it means that the new targeted daily intake is; 2500 - 600 = 1900 calories.
Thus, the range for this situation would be between 1900 calories and 2500 calories.
Range = (1900, 2500)
What number does not belong and why?
1/2
5/3
2/10
2/5
How can you divide a rectangle into two congruent regions?
Answer:
Step-by-step explanation:
When you divide it through diagonals, you will get two congruent triangles ( Side Side Side congruent - SSS)
What is the simplified form of the expression -(2a + 5s) + (10a - 3s)?
Select one:
a. 8a - 25s
b. 8a - 35s
c. 12a + 25s
d. 12a - 35s
Answer:
b. 8a-35s
Step-by-step explanation:
Find the volume of the figure below. :)
Answer:
875 ft³
Step-by-step explanation:
First, let's break it down into three different sections.
Starting with the cube on the bottom and then the rest of the Rectangular Prism.
The formula for Volume Cube V = a³
The formula for Volume of Rectangular Prism: V = lwh
From the picture we can see that the bottom is a cube with a lenght of 5 ft thus V = 5³ = 125 ft³
The second Rectangular Prism in the middle has a lenght of 20 ft (15 + 5), a width of 5 ft and a height of 5 ft. Use the formula above 20x5x5 = 500 ft³
The top Rectangular Prism has a lenght & with of 5 ft and a height of 10 ft.
So again 5x5x10 = 250 ft³
Now all we need is to add them all together:
125 + 500 + 250 = 875 ft³
Answer:
e
Step-by-step explanation:
What is 325 .623 rounded to the nearest 10
The 325.623 round to the nearest 10 is 325.6.
What is round figures in maths?Rounding a number of means simplifying it while retaining its value close to what it was. The end output is less accurate but more usable. For instance, 73 rounded to the closest ten is 70, because 73 is closer to 70 than 80.
The tens' digit is the rule for rounding to the closest a hundred. If the number is five or more, round up. If the number is four or less, round down. Consider the number formed by the digits in the tens and one's columns when rounding to the nearest hundred.
To round to the next thousand, write down the multiple of 1000 closest to our number. The thousands' digit will either remain unchanged or rise by one.
Therefore, the nearest 10 is 325.6.
To learn more about round figures, refer to the link:
https://brainly.com/question/12342753
#SPJ2
Can someone pls help me
Answer: $1,500
Step-by-step explanation:
Let x represent the total income.
20% of the total amount = 300 --> 0.20x = 300
÷0.20 ÷0.20
x = 1500
Answer:
The total income is $1,500.
Step-by-step explanation:
$300 / 20% = $15 [ budget percent x 15 = budget amount in dollars]
Housing: 10 x 15 = $150
Food: 30 x 15 = $450
Fuel: 15 x 15 = $225
Clothing: 20 x 15 = $300
Health: 15 x 15 = $225
Miscellaneous: 10 x 15 = $150
Total Income: 150+450+225+300+225+150 = $1500
NEED HELP ASAP ALGEBRA 2
Answer:
b = sqrt(161)
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2
8^2 + b^2 = 15^2
64 + b^2 = 225
Subtract 64 from each side
b^2 = 225-64
b^2 =161
Take the square root of each side
sqrt(b^2) = sqrt(161)
b = sqrt(161)
What algebraic expression represents GK? If GK =37, what are GH and JK? 4x+2=GH and 6x-1=HK
Answer:
GK = 10x+1
GH = 16.4
HK = 20.6
Step-by-step explanation:
Given the expressions 4x+2=GH, 6x-1=HK and GK = 37, according to vector addition GH + HK = GK
Substituting the functions into the formula we will have:
GK = 4x+2 + 6x-1
collect like terms
GK = 4x+6x +2-1
GK = 10x+1
The algebraic expression that represents GK is 10x+1.
To get the value of x, since GK = 37
10x+1 = 37
10x = 37-1
10x = 36
x = 36/10
x = 3.6
Since GH =4x+2, substitute x = 3.6 into the function
GH = 4(3.6)+2
GH = 14.4+2
GH = 16.4
Also HK = 6x-1
HK = 6(3.6)-1
HK = 21.6-1
HK = 20.6
Hence the algebraic expression that represents GK is 10x + 1 and the value GH is 16.4, HK is 20.6
find the slope of the line through each pair of points (1/2,0) and (0,4/7)
The line crosses (1/2,0) and (0,4/7)
Let m be the slope of this line
● m = [0-(4/7)]/[(1/2)-0)]
● m = (-4/7)/(1/2)
● m = (-4×2)/7
● m = -8/7
So the slope of this line is -8/7
Why are points important in geometry
Points are very important in geometry.
In fact, a point is the most basic figure in geometry.
A point has no size, only position.
Although it's basic, it's used all the time in geometry and it creates things.
For example, two points creates line segments.
Line segments are used in postulates and theorems.
Algebra 1 Help pls!
Answer:
t-5 = Ned's age
Step-by-step explanation:
t = teds age
Ted is 5 years older than Ned
t = Ned +5
Subtract 5 from each side
t-5 = Ned
t-5 = Ned's age
ted = 5 tears older than Ned.
ted = t years.
→ t = Ned's age + 5
→ Ned's age + 5 = t
→ Ned's age = t - 5
So,
Then, t - 5 = Ned's age.
Triangle ABC is split into two triangles as shown: shaded and non-shaded.
If the area of the shaded triangle is twice the area of the non-shaded triangle, find the size of angle ACB, correct to 1 decimal place.
Answer:
26.6°
Step-by-step explanation:
The area of a triangle is given by (1/2) * (base) * (height). The two triangles share the same height, so in order for the shaded triangle to have twice the area, its base must be twice that of the non-shaded triangle.
The non-shaded triangle is a right triangle with two 45° angles, so it's an isoceles right triangle with a base equal to its height.
This means that the height of the shaded triangle is 1/2 of its base. Knowing that we can get the angle of ACB with:
tan⁻¹(1/2) ≈ 0.4636476 (in radians)
Convert to decimal angle:
0.4636476 * (180/π) ≈ 26.6°
You go shopping for some new shoes on a sales tax free weekend (yay no taxes!). You have a 20% off coupon. If you have a $100 to spend, what is the maximum price of the shoes you can buy with the coupon? Explain how you figure out your answer.
Answer:
$125
Step-by-step explanation:
With a 20% off coupon, the price you pay is 80% of the marked price. If that amount is $100, you have ...
$100 = 0.80p
p = $100/0.80 = $125
The maximum price of the shoes you can buy is $125.
_____
Check
20% of $125 is -.20×$125 = $25. When that is subtracted, the price you pay is ...
$125 -25 = $100
Answer:
$125
Step-by-step explanation:
let the maximum price be 'x'
[tex]x -( \frac{20}{100} \times x) = 100[/tex]
[tex]x - ( \frac{x}{5} ) = 100[/tex]
[tex] \frac{4x}{5} = 100[/tex]
[tex]4x = 500[/tex]
[tex]x = 125[/tex]
BRAINLIEST PLEASE! :-)Please help me 20 points
Where does the Pythagorean Identity sin2 Θ + cos2 Θ = 1 come from? Given the Cos Θ = 4/5, how would you use it to find the sine and tangent values of the angle? Explain.
Answer:
[tex]sin\theta =\pm\dfrac{4}{5}\\tan\theta =\pm\dfrac{3}{4}[/tex]
Step-by-step explanation:
Kindly refer to the attached image of a right angled [tex]\triangle ABC[/tex].
Let [tex]\angle C = \theta[/tex]
Sides BC = a
AB = c and
AC = b respectively.
To prove:
[tex]sin^2\theta+cos^2\theta =1[/tex]
Proof:
Using Sine and Cosine values:
[tex]sin\theta =\dfrac{Perpendicular}{Hypotenuse}\\\Rightarrow sin\theta =\dfrac{AB}{AC} = \dfrac{c}{b }[/tex]
[tex]cos\theta =\dfrac{Base}{Hypotenuse}\\\Rightarrow cos\theta =\dfrac{BC}{AC} = \dfrac{a}{b}[/tex]
As per Pythagorean theorem:
[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow b^{2} = a^{2} + c^{2} .......... (1)[/tex]
Considering the LHS of [tex]sin^2\theta+cos^2\theta =1[/tex]:
[tex](\frac{c}{b})^2+(\frac{a}{b})^2\\\Rightarrow \frac{c^2+a^2}{b^2}[/tex]
Now, using equation (1):
[tex]\Rightarrow \dfrac{b^2}{b^2} = 1 = RHS[/tex]
Hence, proved that : [tex]sin^2\theta+cos^2\theta =1[/tex]
Now, we are given that:
[tex]cos\theta =\frac{4}{5}[/tex]
To find, sine and cosine values of the angle i.e. [tex]sin\theta = ?[/tex] and [tex]tan\theta = ?[/tex]
Using [tex]sin^2\theta+cos^2\theta =1[/tex]:
[tex]sin^2\theta+(\dfrac{4}{5})^2 =1\\\Rightarrow sin^2\theta = \dfrac{9}{25}\\\Rightarrow sin\theta = \pm \dfrac{3}{5}[/tex]
We know that:
[tex]tan\theta =\dfrac{sin\theta}{cos\theta}\\\Rightarrow tan\theta =\pm \dfrac{\dfrac{3}{5}}{\dfrac{4}{5}}\\\Rightarrow \bold{tan\theta =\pm \dfrac{3}{4}}[/tex]
The 6 in the number 6,140 has a value __-- 648. times greater than the 6 in the number
Answer:
1,000 because it's in the thousands place
Step-by-step explanation:
Find the Area of the parallelograms.
Answer:
2
Step-by-step explanation:
area of a parallelogram : b x h (base x height)
since there are no measurements, we are looking at the squares
im assuming that the squares are 1x1 squares
hence, for the base of the parallelogram, we are counting the squares
i added the halves together and got the answer 2
then we need to take the height
which im also assuming is 1
b x h = 1 x 2
a = 2
sorry if this is wrong but the angle that it was taken at, is not very clear ; (
HELP!!!! 25 POINTS!!!! EXTREMELY EASY!!!!PLEASE HELP MEEEEE!!!!!!!
When finding the x-intercepts and relating them to graph....does the placement of the x-intercepts matter in the problem????
Answer:
The intercepts of a graph are points at which the graph crosses the axes. The x-intercept is the point at which the graph crosses the x-axis. At this point, the y-coordinate is zero. Yes it also matter because x axis go sideways and the y axis goes up and down. Hope this helps
Answer:
The intercepts of a graph are points at which the graph crosses the axes. The x-intercept is the point at which the graph crosses the x-axis. At this point, the y-coordinate is zero.
Step-by-step explanation:
Both Galapagos islands and the Island of Nauru are on the equator, but the Galapagos islands are at 90°W where the Island of Nauru is at 166.50°E. How far is it from the Galapagos islands to Nauru traveling over the Pacific ocean along the equator, correct to the nearest km?
Answer:
11565 km
Step-by-step explanation:
The computation is shown below:
But before reaching the final solution first we need to do the following calculations
The angle lies between the Galapagos and Nauru is
= 90° + 166.50°
= 256.5°
Since the sum of angle is 360 degrees
So the major arc and the minor arc is
= 360° - 256.5°
= 103.50°
Now the angles lies between galapagos islands is
= 180° - 90°
= 90°
And, between the naura island is
= 180° - 166.50°
= 13.5°
Now the total of this two island is
= 90° + 13.5°
= 103.5°
The length is
[tex]= \frac{\pi r }{180^{\circ}} \times \theta\\\\ = \frac{6,400\pi}{180^{\circ}} \times 103.5^{\circ}[/tex]
= 11565 km
The mean duration of a pregnancy is 268 days and the standard deviation is 15 days.
Answer:
If we stipulate that a baby is premature if the length of pregnancy is in the lowest 4%, find the length that separates premature babies from those who are not premature. The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days.
hope it helps :)
please mark it the brainliest!
What is the value of y
Answer:
y = 5.6Step-by-step explanation:
From Thales' theorem:
[tex]\dfrac y7\ =\ \dfrac45\\\\y=\dfrac45\cdot7\\\\y = \dfrac{28}5\\\\y = 5.6[/tex]
CRITICAL THINKING The weight y (in pounds) of a rainbow trout can be modeled by y = 0.000304x3, where x is the length (in inches) of the trout. a. Write a function that relates the weight y and length x of a rainbow trout when y is measured in kilograms and x is measured in centimeters. Use the fact that 1 kilogram ≈ 2.20 pounds and 1 centimeter ≈ 0.394 inch.
Answer:
[tex]y = 0.01092395604x^3[/tex]
Step-by-step explanation:
Given:
[tex]y = 0.000304x^3[/tex]
Where y is in pounds and x is in inches
Required
Represent y in kilogram and x in centimetre
[tex]y = 0.000304x^3[/tex]
The expression can be rewritten as
[tex](y\ pound) = 0.000304(x\ inch)^3[/tex]
------------------------------------------------------------------------------------------------
If [tex]0.394\ inch= 1\ cm[/tex]
Divide both by 0.394
[tex]\frac{0.394\ inch}{0.394}= \frac{1\ cm}{0.394}[/tex]
[tex]1\ inch= \frac{1\ cm}{0.394}[/tex]
[tex]1\ inch = 2.538\ cm[/tex] (Approximated)
Multiply both sides by x
[tex]x * 1\ inch = 2.538\ cm * x[/tex]
[tex]x \ inch = 2.538x\ cm[/tex]
------------------------------------------------------------------------------------------------
If [tex]2.20\ pound = 1\ kg[/tex]
Divide both by 2.20
[tex]\frac{2.20\ pound}{2.20} = \frac{1\ kg}{2.20}[/tex]
[tex]1\ pound = \frac{1\ kg}{2.20}[/tex]
[tex]1\ pound = 0.455\ kg[/tex] (Approximated)
Multiply both sides by y
[tex]y * 1\ pound = 0.454\ kg * y[/tex]
[tex]y \ pound = 0.454y\ kg[/tex]
------------------------------------------------------------------------------------------------
Substitute 0.455y kg for y pound and 2.538x cm for x inch in [tex](y\ pound) = 0.000304(x\ inch)^3[/tex]
[tex]0.454y = 0.000304(2.538x)^3[/tex]
[tex]0.454y = 0.000304(16.35x^3)[/tex] Approximated
[tex]0.454y = 0.0049704x^3[/tex]
Divide both sides by 0.455
[tex]\frac{0.455y}{0.455} = \frac{0.0049704x^3}{0.455}[/tex]
[tex]y = \frac{0.0049704x^3}{0.455}[/tex]
[tex]y = 0.01092395604x^3[/tex]
Rick has 10 kids to babysit. If he gives each kid goldfish, He will have given out a total of
100 goldfish. How much goldfish did each kid get?
How do I convert this to an algebraic expression?
Answer:
10
Step-by-step explanation:
answer 10 10x10= 100 100/10=10
Javier writes an integer on a piece of paper. The absolute value of his number is less than 4. Which is true of the possible values of Javier's number?
Answer:
3, -2, -1, 0, 1, 2, 3
Step-by-step explanation:
Given the inequality expression |x| < 4 where x is unknown. To her the possible values of x, we must undeterstand that the absolute value of a number returns both positive and negative value.
Hence |x| can either return +x or -x
If x is positive, the inequality expression will be x<4.
If the value of x is negative, then -x<4
From -x<4
Multiply both sides by minus sign will change the sense of the inequality sign.
-(-x) > -4
x>-4
If x is greater than -4, then -4<x.
Combining both inequality will give;
-4 < x and x<4
-4<x<4
Hence the possible values of Javier's number are integers between -4 and 4.
The values are -3, -2, -1, 0, 1, 2, 3.
calculate the mid points of the line segments below using the midpoint formula given two endpoints
(-3,3),(0,-7)
Answer:
[tex]M(-\dfrac{3}{2}, -2)[/tex]
Step-by-step explanation:
[tex]M(\dfrac{x_1 + x_2}{2}, \dfrac{y_1 + y_2}{2})[/tex]
[tex]M(\dfrac{-3 + 0}{2}, \dfrac{3 + (-7)}{2}) =[/tex]
[tex]= M(\dfrac{-3}{2}, \dfrac{-4}{2})[/tex]
[tex]= M(-\dfrac{3}{2}, -2)[/tex]
Make T the subject of the relation I=PRT/100
Answer:
T = 100I/PR
Step-by-step explanation:
1) Original: I = PRT/100
2) Multiply both sides by 100: 100I = PRT
3) Divide both sides by PR: 100I/PR = T
Answer:
gr uf
Step-by-step explanation: