Answer:
A. 1
Step-by-step explanation:
2/3 ÷ (-4) - (1/6-8/6)
Solve for brackets.
2/3 ÷ (-4) - (-7/6)
2/3 ÷ (-4) + 7/6
-2/12 + 7/6
Make denominators equal.
-2/12 + 14/12
12/12
= 1
Place the indicated product in the proper location on the grid. (y x - 5)(y x + 5)
Answer:
y²x² - 25Step-by-step explanation:
To get the product of the function (y x - 5)(y x + 5), we will have to expand the bracket as shown;
= (y x - 5)(y x + 5)
= (yx)² + 5yx-5yx- 5(5)
= (yx)² + 5yx-5yx- 25
=(yx)² +0- 5(5)
= y²x² - 25
The product is expressed as y²x² - 25
Answer:
The person above me is *almost* right. but the x's are exponents.
Step-by-step explanation:
The right answer is y^2x-25. I hope this helps you! <3
How does temperature and precipitation change as you increase in elevation? Temperature gets warmer and precipitation increases. Temperature gets cooler and precipitation increases. Temperature gets warmer and precipitation decreases. Temperature gets cooler and precipitation decreases.
The way that temperature and precipitation changes as a [person increases in elevation is that
Temperature gets cooler and precipitation increases.What is temperature?This is the degree of coldness or the hotness of a body or the environment around.
As a person gets to climb a hill or get closer to the top of a mountain, the temperature of the place would drop while the precipitation would rise.
Read more on temperature here:
https://brainly.com/question/24746268
A jumbo chocolate bar with a rectangular shape measures 13 centimeters in length, 7 centimeters in width, and 2 centimeters in thickness. Due to escalating costs of cocoa, the management has decided to reduce the volume of the bar by 20 %. To accomplish this reduction, management decides that the new bar should have the same 2 centimeter thickness, but the length and width of each should be reduced by an equal number of centimeters. What should be the dimensions of the new candy bar?
Answer:
Reduce every dimension except thickness by 20%.
The requried new dimensions of the candy bar are approximately 3.4775 cm in length, 2 cm in width (maintained), and 2 cm in thickness.
To find the dimensions of the new candy bar after reducing the volume by 20%, we need to determine the reduction in length and width.
Let's start by calculating the original volume of the candy bar using the formula: volume = length × width × thickness.
Original volume = 13 cm × 7 cm × 2 cm = 182 cm³
Since the management wants to reduce the volume by 20%, we need to find 20% of the original volume and subtract it from the original volume.
20% of 182 cm³ = 0.2 × 182 cm³ = 36.4 cm³
Reduced volume = 182 cm³ - 36.4 cm³ = 145.6 cm³
Now, we need to determine the new dimensions while maintaining the 2 cm thickness.
Let's assume the reduction in length and width is x cm for both dimensions.
The new volume can be calculated using the formula:
volume = (length - x) × (width - x) × thickness.
Setting this equal to the reduced volume, we have:
(13 - x) × (7 - x) × 2 = 145.6
Simplifying and rearranging the equation, we get:
(91 - 20x + x²) = 72.8
x² - 20x + 18.2 = 0
Using the quadratic formula, we can solve for x:
[tex]x = \dfrac{-(-20)\pm \sqrt{(-20)^2- 4(1)(18.2)}} {2(1)}\\x = \dfrac{20 \pm \sqrt{400 - 72.8}} {2}\\x =\dfrac {20 \pm \sqrt{327.2}} {2}[/tex]
x ≈ (20 ± 18.09) / 2
Taking the positive value, we have:
x ≈ (20 + 18.09) / 2
x ≈ 19.045 / 2
x ≈ 9.5225
Since the dimensions cannot be negative, we discard the negative value.
Therefore, the reduction in length and width is approximately 9.5225 cm.
To find the new dimensions, we subtract this value from the original length and width:
New length = 13 cm - 9.5225 cm ≈ 3.4775 cm
New width = 7 cm - 9.5225 cm ≈ -2.5225 cm (discard as it is negative)
Therefore, the new dimensions of the candy bar are approximately 3.4775 cm in length, 2 cm in width (maintained), and 2 cm in thickness.
Learn more about dimensions here:
https://brainly.com/question/31154493
#SPJ4
Let f be defined as shown.
What is f^-1(8)?
Answer:
From the picture when the input of f(x) is 6 the output is 8
So it's just the reverse f^-1(8) when the input is 8 the output is 6
So f^-1(8) = 6
Hope this helps you
The length of a rectangle is 2 inches less than three times it’s width.and it’s perimeter is 36 inches .find the width of the rectangle. A. 5 in B .10 in C.4in
Answer:
A
Step-by-step explanation:
Let width =w in
Length = 3w - 2 in
Perimeter of rectangle = 36 inches
2* (length + width ) = 36
2*(3w -2 + w) = 36
2* (4w -2 ) = 36
2*4w - 2*2 = 36
8w - 4 = 36
Add 4 to both sides
8w - 4 + 4 = 36 +4
8w = 40
Divide both sides by 8
8w/8 = 40/8
w = 5
Width = 5 in
if (14,25) and (9,-10) are two anchor points on a trend line, then find the equation of the line.
y = ?x - ?
Answer:
y= 7x-73
Step-by-step explanation:
the equation form is y=mx+c where m is the slope and c a constant
m= (25-(-10))/14-9 = 35/5 = 7
so y= 7x+c
replace x and y by 14 and 25 respectively
25 = 7*14+c
c= 25-7*14
c = -73
so y= 7x-73
if 2x2 - 7x-15 is a factor of H(x):- 6x3 - 13x2 - ax - b where a and b are constants.
Find the values of a and b.
Find the zeros of H(X)
Answer:
1.) a = 73, b = 60
2.) H(0) = -60
Step-by-step explanation:
Since equation 2x2 - 7x - 15 is a factor of H(x) = 6x3 - 13x2 - ax - b where a and b are constants.
Find the root of 2x^2 - 7x - 15
2x^2 - 10x + 3x - 15 = 0
2x( x - 5 ) + 3( x - 5 ) = 0
2x + 3 = 0 or x - 5 = 0
2x = -3 or x = 5
X = -3/2 or 5
Substitute the two values into the H(x)
When x = - 3/2
6(-3/2)^3 - 13( -3/2 )^2 - a( -3/2 ) - b = 0
6(-27/8) - 13( 9/4 ) + 3a/2 -b = 0
-81/4 - 117/4 + 3a/2 - b = 0
- 198 + 6a - 4b = 0 .... (1)
When x = 5
6( 5 )^3 - 13( 5 )^2 - a(5) - b = 0
6(125) - 13(25) - 5a - b = 0
750 - 325 - 5a - b = 0
425 - 5a - b = 0 ..... ( 2)
Solve equation 1 and 2 simultaneously
Eliminate b
- 198 + 6a - 4b = 0 × 1
425 - 5a - b = 0 × 4
- 198 + 6a - 4b = 0
1700 - 20a - 4b = 0
- 1898 + 26a = 0
26a = 1898
a = 1898/26
a = 73
Substitute a back into equation 1
- 198 + 6(73) - 4b = 0
-198 + 438 - 4b = 0
4b = 240
b = 240/4
b = 60
2.) To Find the zeros of H(X), substitute 0 for x. that is,
H(0) = 6(0)^3 - 13(0)^2 - 73(0) - 60
H(0) = - 60
When
4a- a x 3a + 7a
is simplified it is equivalent to
Answer:
30a
Step-by-step explanation:
4a-a x 3a +7a
3a x 10a
30a
The given expression is:
[tex]4a- a\times 3a + 7a[/tex]By applying multiplication, we get
→ [tex]4a - 3a^2+7a[/tex]
By applying addition, we get
→ [tex]-3a^2+11a[/tex]
By taking "a" as common, we get
→ [tex]a (-3a+11)[/tex]
Thus the answer above is right.
Learn more about simplification will be:
https://brainly.com/question/19201257
The Grade 8 students held a graduation dance.
Four out of 7 students attended.
There are 112 Grade 8 students.
How many students attended the dance?
**In the blank ONLY write the number, no words/sentences, for example if the
answer is 4 students are going in the blank type: 4
Answer:
64
Step-by-step explanation:
4/7
16x7= 112
4x16=64
please help I really need it
1. How much is it estimated that the United States population increased from July 1, 2000 to July 1, 2003? From July 1, 2003 to
July 1, 2007?
Answer:
2.92%
3.85%
Step-by-step explanation:
The population in 2000 is 282,194,308. The population in 2003 is 290,447,644. This is an increase of 8,253,336.
290,447,644 - 282,194,308 = 8,253,336
To find the percentage in increase, divide the difference by the original number and multiply by 100%. The population increased by 2.92%.
8,253,336/282,194,308 = 0.0292 × 100% = 2.92%
The population in 2003 is 290,447,644. The population in 2007 is 301,621,157. This is an increase of 11,173,513.
301,621,157 - 290,447,644 = 11,173,513
Divide the difference by the original number and multiply by 100%. The population increased by 3.85%.
11,173,513/290,447,644 = 0.0385 × 100% = 3.85%
A circle has a diameter of 20 mm what is it’s circumference? Use 3.14 for pi and do not round your answer
Answer:
The circumference of the circle is 62.8 mm.
Step-by-step explanation:
We must first know the formula for finding the circumference.
C = dπ
Let's plug in our diameter. We will use 3.14 for pi.
C = (20)(3.14)
Multiply the numbers together.
C = 62.8
So, the circumference of a circle with a diameter of 20 mm is 62.8 mm.
The circumference of a circle with the given diameter is 62.8 mm.
What is circumference of a circle?The circumference of a circle is the perimeter of the circle. It is the total length of the boundary of the circle. The circumference of a circle is the product of the constant π and the diameter of the circle.
Given that, a circle has a diameter of 20 mm
So, radius = Diameter/2 = 10 mm
We know that, the circumference of a circle is of a circle is 2πr.
Now, circumference = 2×3.14×10
= 62.8 mm
Therefore, the circumference of a circle with the given diameter is 62.8 mm.
Learn more about the circumference here:
brainly.com/question/28757341.
#SPJ2
Hess Company's inventory records show the following data for the month of September: Units Unit Cost Inventory, September 1 100 $3.00 Purchases: September 8 450 3.50 September 18 300 3.70 A physical inventory on September 30 shows 150 units on hand. Calculate the value of ending inventory and cost of goods sold if the company uses LIFO inventory costing and a periodic inventory system.
Answer:
Yes
Step-by-step explanation:
help will give brainliest
Answer:
C. (-5, -7)
Step-by-step explanation:
This is correct because the points in Q3 are all negative and C is the only one that contains both negative numbers!
PLEASE MARK BRAINIEST AND HOPE THIS HELPS!!
Answer:
Ans is C(-5, -7)
Step-by-step explanation:
We know that in first quadrant all are positive and in second x is negative and y is positive and in third all are negative ans in four x is positive and y is negative so according to c option it,s the only one that lie in third quadrant because it has both value negative
Which expression is equivalent to −(4−3)?Which expression is equivalent to −(4−3)?
Answer: −22+3
Step-by-step explanation:
Answer:
−22+3
Step-by-step explanation:
HELP
Which shows the image of triangle WXY after the transformation Ro, -90°(x, y)?
Option C is the correct answer.
Concept:The transformation Ro, -90° , means rotating the figure by 90° in the Anti-Clock Wise direction.How to solve the given question?As it is mentioned that the given triangle has to undergo transformation Ro, -90°, which means we need to rotate the figure by 90° in the anti-clockwise direction.Thus, for the given condition option C suits the best.Why other options are incorrect?In option A, we can see that it is the mirror image about the y axis.In option B, the triangle is rotated by 90° but in the clockwise direction.In option D, the triangle is rotated by 90° but in the clockwise direction.Learn more about Transformation here:
https://brainly.com/question/4289712
#SPJ2
What fraction of the students are girls give your answer in its simplest form
Answer:
45% of students are female or 15/32
Step-by-step explanation:
We find out their is 72 Boys and 60 Girls
We add both together to get 132 Students
Then we divide to get our number/fraction
60/132 = 15/32 or 45%
MARK AS BRAINLIEST
Find the value of B - A if the graph of Ax + By = 3 passes through the point (-7, 2), and is parallel to the graph x + 3y = -5. Pls help ASAP btw, the answer isn’t -12/19 or 12/19
Answer:
[tex]B - A = -6[/tex]
Step-by-step explanation:
Given
Point: (-7,2)
x + 3y = -5
Required
Find B- - A in Ax + By = 3
To start with; we need to calculate the slope of x + 3y = -5
[tex]x + 3y = -5[/tex]
Subtract x from both sides
[tex]x - x + 3y = -5 - x[/tex]
[tex]3y = -5 - x[/tex]
Divide both sides by 3
[tex]\frac{3y}{3} = -\frac{5}{3} - \frac{x}{3}[/tex]
[tex]y = -\frac{5}{3} - \frac{x}{3}[/tex]
The slope of the line is the coefficient of x
Slope = [tex]- \frac{1}{3}[/tex]
The question says line Ax + By = 3 is parallel to line x + 3y = -5; This means that they have the same slope of [tex]- \frac{1}{3}[/tex]
Having calculated the slope, next is to calculate the equation of the line using the following formula;
[tex]m = \frac{y - y_1}{x - x_1}[/tex]
Where m is the slope; m = [tex]- \frac{1}{3}[/tex]; [tex](x_1, y_1) = (-7,2)[/tex]
Substitute these values in the formula above; the formula becomes
[tex]-\frac{1}{3} = \frac{y - 2}{x - -7}[/tex]
[tex]-\frac{1}{3} = \frac{y - 2}{x +7}[/tex]
Cross Multiply
[tex]-1(x+7) = 3(y-2)[/tex]
Open brackets
[tex]-x - 7 = 3y - 6[/tex]
Add x to both sides
[tex]x - x - 7 = 3y - 6 + x[/tex]
[tex]-7 = 3y - 6 +x[/tex]
Add 6 to both sides
[tex]-7 + 6 = 3y -6 + 6 + x[/tex]
[tex]-1 = 3y + x[/tex]
Multipby both sides by -3
[tex]-3(-1) = -3(3y + x)[/tex]
[tex]3 = -9y - 3x[/tex]
[tex]-9y - 3x = 3[/tex]
[tex]-3x - 9y = 3[/tex]
Comparing the above to Ax + By = 3
[tex]Ax = -3x\\A = -3[/tex]
[tex]By = -9y\\B = -9[/tex]
[tex]B - A = -9 - (-3)[/tex]
[tex]B - A = -9 + 3[/tex]
[tex]B - A = -6[/tex]
Use the graph of f to describe the transformation that results in the graph of g. f(x) = log x; g(x) =
Answer:
The function was expanded vertically by 5, and then translated vertically upwards 6 units.
Which is the third option in the list of possible answers.
Step-by-step explanation:
Recall that the types of transformations associated with:
A) a function multiplied by a positive factor larger than one consists on the function expanded vertically by that factor.;
B) a positive number added to the function consists on the vertical translation of the function upwards as many units as the number added.
Therefore, the function [tex]f(x) = log(x)[/tex] being transformed into [tex]g(x)=5\,log(x)+6[/tex]
consists of the initial function expanded vertically by 5, and then translated vertically upwards 6 units.
A is the set of integers greater than -9 and less than -3
Answer: -8, -7, -6, -5, -4
Step-by-step explanation:
Answer:
A = {-8, -7, -6, -5, -4}
Step-by-step explanation:
The integers greater than -9 and less than -3 are -8, -7, -6, -5, -4.
-9 < x < - 3
x = -8, x = -7, x = -6, x = -5, x = -4
john and peter started jogging from the same place at the same time, but in opposite directions along a straight road. After jogging for 3 hours, they were 27 km apart. If john's average speed was 6 km/h, what is peters speed?
Answer: 3km/h
Step-by-step explanation:
Johns average speed was 6km/h, so in 3 hours he traveled 18 km. 27-18=9, so Peter ran 9 km in 3 hours. 9/3 = 3, so his average speed was 3km/h
Answer:
3 km/h
Step-by-step explanation:
Distance = speed x time
The distance apart equals to the sum of the distance that John jogged, and the distance that Peter jogged since they go opposite directions.
Hence,
let v be peter's speed
27 = 6x3 + vx3
27 = 18 + 3v
27-18 = 3v
9 = 3v
v = 9/3
v = 3 km/h
Select the correct answer. Joshua sells a pack of pens for $3.15, which is 5 percent more than he pays for them. Which equation will help find x, the amount he pays for a pack of pens? How many solutions will this equation have? A. x + 0.05x = 3.15, which has infinitely many solutions B. x + 0.5x = 3.15, which has one solution C. x + 0.05x = 3.15, which has one solution D. 0.05x = 3.15, which has no solution
Answer:
x+0.05x=3.15 , which has one solution.
Step-by-step explanation:
Answer:
The answer is C.
Step-by-step explanation:
i just did this and got a 100
Can someone help me solve this?
Answer:
(a) y = -3/5 x + 13/5
(b) y = 5/3 x + 1/3
Step-by-step explanation:
(a) The slope of the tangent line is dy/dx. Use implicit differentiation:
x² + y² + 4x + 6y − 21 = 0
2x + 2y dy/dx + 4 + 6 dy/x = 0
2x + 4 + (2y + 6) dy/dx = 0
x + 2 + (y + 3) dy/dx = 0
(y + 3) dy/dx = -(x + 2)
dy/dx = -(x + 2) / (y + 3)
At the point (1, 2), the slope is:
dy/dx = -(1 + 2) / (2 + 3)
dy/dx = -3/5
Using point-slope form of a line:
y − 2 = -3/5 (x − 1)
Simplifying to slope-intercept form:
y − 2 = -3/5 x + 3/5
y = -3/5 x + 13/5
(b) The normal line is perpendicular to the tangent line, so its slope is 5/3. It also passes through the point (1, 2), so point-slope form of the line is:
y − 2 = 5/3 (x − 1)
Simplifying to slope-intercept form:
y − 2 = 5/3 x − 5/3
y = 5/3 x + 1/3
Use the substitution method to solve the system of equations. choose the correct ordered pair.
Answer:
D
Step-by-step explanation:
A. 2(2) - (-2)= 4+2=6
B. 2(2) - (-1) = 4+1=5
C. 2(7) - (4) = 14 - 4= 10
2(7) - 2(4) = 14 - 8 = 6 doesn't = 4
D. 2(8) - (6) = 16 - 6= 10
2(8) - 2(6) = 16 - 12 = 4 = 4
A principle of $2400 is invested at 7.5% interest, compounded annually. How many years will it take to accumulate $6000 or more in the account? Write the smallest possible whole number answer.
Step-by-step explanation:To find the interest accumulated over a period of time you use:
A = P [1 + (r/n)]^(nt)
with A = new amount in the account, P = principal, r = percent rate as a decimal, n = how many times you compound during one year, t = time in years.
A = 2000
P = 1500
r = 0.035
n=1
Thus you get:
2000 = 1500 (1+0.035)^t
Divide by 1500:
(4/3) = (1.035)^t
Apply "ln" on both sides:
ln(4/3) = t*ln(1.035)
Calculate the logarithms:
0.28768 = t*0.03440
Divide by 0.03440 on both sides:
t = 8.36 years
So after approximately 8 years and 5 month you will have $2000 or more in the account.
can someone help me find all the angels ):
Answer:
I know you don't need help anymore so ya
A river drops 12 ft vertically over a horizontal distance of 1500 ft.
What is the slope of the river?
Answer:
Slope = rise / run
= -12 / 1500 (It's -12 and not 12 because a drop means it's decreasing)
= -0.008
HELP PLEASE !!!2. Solve for x in the figure below. Show your work.
Answer:
×=19
Step-by-step explanation:
90-22=68
3x+11=68
68-11=57
3x=57
57÷3=19
x=19
A merchant has coffee worth $30 a pound that she wishes to mix with 20 pounds of coffee worth $60 a pound to get mixture that can be sold for $50 a pound. How many pounds of the $30 coffee should be used?
Which amount is larger and by how much? A positive number a or the same number a decreased by 50% and then increased by 50% of the result? Pls Help!
Answer:
Step-by-step explanation:
..
will mark brain edgiunuity ASAP Eight hundred tickets are sold for a play. Thirty-five percent of those tickets were sold in advance. Which equation can be used to find the number of tickets sold in advance? StartFraction 800 divided by 8 Over 35 divided by 8 EndFraction = StartFraction 100 Over 4.375 EndFraction StartFraction 100 divided by 8 Over 800 divided by 8 EndFraction = StartFraction 12.5 Over 100 EndFraction StartFraction 35 times 8 Over 800 times 8 EndFraction = StartFraction 280 Over 6400 EndFraction StartFraction 35 times 8 Over 100 times 8 EndFraction = StartFraction 280 Over 800 EndFraction
Answer:
D on edge
Step-by-step explanation:
merry christmas my elf on the shelf/Farkle is so good and nice ;)
Answer:
d
Step-by-step explanation:
