Answer:
Step-by-step explanation:
We will use the pattern f(x)= a(b)^t where a is the initial value, b is the base of the exponent. All these questions are about exponent function
A) Number of trout fish in the pound = 7 , it means a =7
population increases double every year. It means b=2
f(x)= a(b)^t
f(x)=7(2)^t
B) Cost of machine = $3000
The value depreciated every year = 7%
It means 100%-7%= 93% which is equal to 0.93
Therefore,
a = 3000
b = 0.93
f(x)= a(b)^t
f(x)=3000(0.93)^t
C) Initial population of a colony of ants = 300
The number of ants increase at a rate of 1.5%
It means 100%+1.5%=101.5%
101.5% = 1.015
Therefore,
a= 300
b = 1.015
f(x)= a(b)^t
f(x)=300(1.015)^t
D) A research laboratory is testing a new vaccine on 300 infected cells
The decay rate is 1.5% per minute
It means 100%-1.5% =98.5%
98.5% = 0.985
Therefore,
a = 300
b = 0.985
f(x)= a(b)^t
f(x)= 300(0.985)^t ....
This is what I am supposed to do, I’m confused on what to do on 3,4, and 5. PLEASE HELP ASAP!!!!!! 30 POINTS!!!!!
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
To calculate m use the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
3
Using (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (- 3, 6)
m = [tex]\frac{6-0}{-3-0}[/tex] = [tex]\frac{6}{-3}[/tex] = - 2
Since the line passes through the origin (0, 0) then y- intercept is 0
y = - 2x ← equation of line
4
let (x₁, y₁ ) = (6, 0) and (x₂, y₂ ) = (0, 3)
m = [tex]\frac{3-0}{0-6}[/tex] = [tex]\frac{3}{-6}[/tex] = - [tex]\frac{1}{2}[/tex]
note the line crosses the y- axis at (0, 3) ⇒ c = 3
y = - [tex]\frac{1}{2}[/tex] x + 3 ← equation of line
5
let (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (-2, - 3)
m = [tex]\frac{-3-3}{-2-0}[/tex] = [tex]\frac{-6}{-2}[/tex] = 3
note the line crosses the y- axis at (0, 3) ⇒ c = 3
y = 3x + 3 ← equation of line
Name the postulate or theorem you can use to prove AKS E ATL
Answer:
ASA postulate
Step-by-step explanation:
The sum of the measures of interior angles of triangle is always 180°, so
∠LRT=180°-∠RTL-∠RLT=180°-∠2-∠4;
∠KST=180°-∠STK-∠SKT=180°-∠1-∠3.
Since
∠1≅∠2 and ∠3≅∠4, we have that ∠LRT ≅ ∠KST.
The ASA (Angle-Side-Angle) postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent. (The included side is the side between the vertices of the two angles.)
In your case:
∠1 ≅ ∠2;∠LRT ≅ ∠KST;TS ≅ TR (included sides)Triangles TKS and TLR are congruent by ASA postulate.
a line of best fit predicts that when x equals 32
, y will equal 34.215 but y actually equals 30. what is the residual in this case
Answer:
Residual in this case is -4.215
Step-by-step explanation:
A residual can be defined by
Residual = Actual value - Predicted value
We are given:
Predicted value of y = 34.215
Actual value of y = 30
Putting values in the formula:
Residual = Actual value - Predicted value
Residual = 30 - 34.215
Residual = -4.215
So, residual in this case is -4.215
please help , 1-10 , thanks !
Answers:
22
9
20
17
20
35
26
32
23
9
Which expression is equivalent sqrt10/4sqrt8
Answer:
The correct option is A
Step-by-step explanation:
The given expression is:
√10/4√8
We have to eliminate the √ from the denominator
4√8 = (2^3)^1/4
Multiply the whole expression by (2)^1/4
=(2)^1/4 * √10/ 2^(1/4)*(2^3)^(1/4)
= 2^(1/4) · 10^(2/4) / 2^1/4+3/4
=2^(1/4) · 10^(2/4) / 2^1+3/4
=2^(1/4) · 10^(2/4) / 2^4/4
=2^(1/4) · 10^(2/4) /2
=2^(1/4) · 100^(1/4) /2
=200^1/4 /2
= 4√200 /2
Thus the correct option is A....
Answer:
correct answer is a
Step-by-step explanation:
Use picture attached:
Stardust the unicorn cover a distance of 50 miles on his first trip to the forest. On a later trip he traveled 300 miles while going three times as fast. Is the new time compared with the old time was:?
A. The same time
B. A third as much
C. Three times as much
D. Twice as much
Answer:
correct answer is option D
Step-by-step explanation:
assume the speed of the unicorn for the first time to cover 50 mile be 'x'
we know,
distance = speed × time
50 = x × time
t₁ = 50 / x...............................(1)
when unicorn travel 300 mile with speed of '3x'
distance = speed × time
300 = 3 x × time
t₂ = 100/ x...............................(2)
dividing equation (2)/(1)
[tex]\dfrac{t_2}{t_1} = \dfrac{100/x}{50/x}[/tex]
t₂ = 2 × t₁
hence, the time will be twice the first one.
correct answer is option D
Write the standard form of the line that passes through (-1,-3) and (2,1)
Answer:
4x - 3y = 5
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
First obtain the equation in point- slope form
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 1, - 3) and (x₂, y₂ ) = (2, 1)
m = [tex]\frac{1+3}{2+1}[/tex] = [tex]\frac{4}{3}[/tex]
Using (a, b) = (2, 1), then
y - 1 = [tex]\frac{4}{3}[/tex] (x - 2) ← in point- slope form
Multiply both sides by 3
3y - 3 = 4(x - 2) ← distribute and rearrange
3y - 3 = 4x - 8 ( add 8 to both sides )
3y + 5 = 4x ( subtract 3y from both sides )
5 = 4x - 3y, so
4x - 3y = 5 ← in standard form
Sure, let's find the equation of the line that passes through the points (-1, -3) and (2, 1) step-by-step.
1. First, calculate the slope (m) of the line using the formula:
\[
m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - (-3)}{2 - (-1)}
\]
\[
m = \frac{1 + 3}{2 + 1} = \frac{4}{3}
\]
2. The slope-intercept form of a line equation is \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.
We already found the slope \( m = \frac{4}{3} \), so we just need to find \( b \).
Using the first point (-1, -3), plug the values into the slope-intercept form:
\[
-3 = \frac{4}{3}(-1) + b
\]
Calculate \( b \):
\[
-3 = -\frac{4}{3} + b
\]
Add \( \frac{4}{3} \) to both sides:
\[
b = -3 + \frac{4}{3}
\]
\[
b = -\frac{9}{3} + \frac{4}{3}
\]
\[
b = -\frac{5}{3}
\]
3. Now we have \( y = \frac{4}{3}x - \frac{5}{3} \) in slope-intercept form.
4. Next, we will convert this to standard form, which is \( Ax + By = C \), where \( A \), \( B \), and \( C \) are integers, and \( A \) is positive.
Multiply both sides of the slope-intercept equation by 3, the common denominator, to eliminate fractions:
\[
3y = 4x - 5
\]
5. Rewriting in standard form, we move the \( x \)-term to the left side:
\[
-4x + 3y = -5
\]
6. In standard form, \( A \) should be positive. If we multiply the entire equation by -1, we will make \( A \) positive:
\[
4x - 3y = 5
\]
7. This is already simplified since the greatest common divisor (GCD) of 4, -3, and 5 is 1. Thus, the coefficients are already in their simplest integer values.
The final equation for the line in standard form is:
\[ 4x - 3y = 5 \]
Evaluate the expression for the given values. (5 x - 4 y) 2 given x = 1 and y = -1.
[tex]((5 \times 1) - (4 \times - 1) = \\ 5 - ( - 4) = \\ 5 + 4 = \\ 9[/tex]
help asap!! interpret the meaning of the expression
Answer:
D
Step-by-step explanation:
This is exponential growth, and to my understanding, the format goes:
initial amount (percent growth/ decay)^time
percent growth = (decimal percent + 1)
percent decay = (1 - decimal percent)
Your equation:
1500(1.02)^t
Using the above format, 1500 appears to be the initial amount, which increases by 2% per annum.
i think
Reflect the triangle across the y-axis, and then translate the image 5 units down.
The final image is the same as which of the following transformations?
1.Translate 5 units down, and then reflect over the x-axis.
2.Translate 5 units down, and then reflect over the y-axis.
3.Rotate 180° about the origin.
4.Reflect over the x-axis, and then translate 5 units left.
This question is based on the slide reflection. Therefore, the correct option is (2), that is, translate 5 units down, and then reflect over the y-axis.
Given:
Reflect the triangle across the y-axis, and then translate the image 5 units down.
We have to choose the correct option as per given question.
According to the question,
It is a slide reflection.
In this case, the order of sliding and reflection is not necessary, if the gliding is parallel to the line of reflection.
Hence, the equivalent to translate five units down, and then reflect over the y-axis.
In general, that rotations will not be equivalent to an odd number of reflections.
Therefore, the correct option is (2), that is, translate 5 units down, and then reflect over the y-axis.
For more details, please refer this link:
https://brainly.com/question/8668014
WILL MARK BRAINLEST PLEASE HELP!!!!!
Answer:
C
Step-by-step explanation:
your answer will be option number
(3) {(1,1),(2,9),(4,8)}
I hopes its help's u
please follow me..!!
@Abhi.❤❤
Choose the equation that represents a line that passes through points (−6, 4) and (2, 0). x + 2y = 2 2x − y = −16 x + 2y = −8 2x + y = 4
Answer:
x + 2y = 2Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
================================================
We have the points (-6, 4) and (2, 0).
Substitute:
[tex]m=\dfrac{0-4}{2-(-6)}=\dfrac{-4}{8}=-\dfrac{1}{2}[/tex]
Put the value of the slope and coordinates of the point (2, 0) to the equation of a line:
[tex]0=-\dfrac{1}{2}(2)+b[/tex]
[tex]0=-1+b[/tex] add 1 to both sides
[tex]1=b\to b=1[/tex]
The equation of a line in the slope-intercept form:
[tex]y=-\dfrac{1}{2}x+1[/tex]
Convert to the standard form [tex]Ax+By=C[/tex]
[tex]y=-\dfrac{1}{2}x+1[/tex] multiply both sides by 2
[tex]2y=-x+2[/tex] add x to both sides
[tex]x+2y=2[/tex]
Answer:
Option 1.
Step-by-step explanation:
It is given that the line passes through the points (-6,4) and (2,0).
If a line passes through two points, then the equation of line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
Using the above formula the equation of line is
[tex]y-(4)=\dfrac{0-4}{2-(-6)}(x-(-6))[/tex]
[tex]y-4=\dfrac{-4}{8}(x+6)[/tex]
[tex]y-4=\dfrac{-1}{2}(x+6)[/tex]
Muliply both sides by 2.
[tex]2y-8=-x-6[/tex]
[tex]x+2y=-6+8[/tex]
[tex]x+2y=2[/tex]
Therefore, the correct option is 1.
Find the vertex form of y=(x+2)(x-3)
Answer:
y = (x - [tex]\frac{1}{2}[/tex] )² - [tex]\frac{25}{4}[/tex]
Step-by-step explanation:
Given
y = (x + 2)(x - 3) ← expand factors
= x² - x - 6
Use the method of completing the square
add/ subtract ( half the coefficient of the x- term )² to x² - x
y = x² + 2(- [tex]\frac{1}{2}[/tex]) x + [tex]\frac{1}{4}[/tex] - [tex]\frac{1}{4}[/tex] - 6
= (x - [tex]\frac{1}{2}[/tex] )² - [tex]\frac{25}{4}[/tex]
Using the figure below, select the two pairs of alternate exterior angles.
1 and 4
2 and 3
6 and 7
5 and 8
Answer:
1 and 4
5 and 8 are alternate exterior angles
2 and 3
6 and 7 are alternate interior angles
Step-by-step explanation:
The alternate exterior angles are the angles on the outside that are opposite each other
1 and 4 are alternate exterior angles
5 and 8 are alternate exterior angles
The alternate interior angles are the angles on the inside that are opposite each other
2 and 3 are alternate interior angles
6 and 7 are alternate interior angles
Answer:
1 and 4 , 5 and 8
Step-by-step explanation:
which equation represents a line that passes through (0,-8) and (-5,23)
Answer:
[tex]\large\boxed{y=-\dfrac{31}{5}x-8}[/tex]
Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept - (0, b)
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
====================================
We have the points (0, -8) → b = -8, and (-5, 23).
Substitute:
[tex]m=\dfrac{23-(-8)}{-5-0}=\dfrac{31}{-5}=-\dfrac{31}{5}[/tex]
Put the value of the slope and of the y-intercept to the equation of a line:
[tex]y=-\dfrac{31}{5}x-8[/tex]
Simplify the following expression: square root of -36 + square root of -100 +7
Answer:
[tex]\large\boxed{\sqrt{-36}+\sqrt{-100}+7=7+16i}[/tex]
Step-by-step explanation:
[tex]\sqrt{-1}=i\\\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\=====================\\\\\sqrt{-36}=\sqrt{(36)(-1)}=\sqrt{36}\cdot\sqrT{-1}=6i\\\sqrt{-100}=\sqrt{(100)(-1)}=\sqrt{100}\cdot\sqrt{-1}=10i\\\\\sqrt{-36}+\sqrt{-100}+7=6i+10i+7=7+16i[/tex]
Answer:
The answer is [tex]16i+7[/tex]
Step-by-step explanation:
In order to determine the answer, we have to know about imaginary numbers.
The imaginary numbers are different to real numbers because they use a new unit called "imaginary unit":
[tex]i=\sqrt{-1}[/tex]
i: imaginary unit
This new unit is applied like a factor when we have even roots with negative numbers inside.
In this case:
[tex]\sqrt{-36}=\sqrt{-1}*\sqrt{36}=6i\\\sqrt{-100}=\sqrt{-1}*\sqrt{100}=10i\\ \\\sqrt{-36}+\sqrt{-100}+7\\ 6i+10i+7\\16i+7[/tex]
Finally, the answer is [tex]16i+7[/tex]
Tyrese works each day and earns more money per hour the longer he works. Write a function to represent a starting pay of $20 with an increase each hour by 3%. Determine the range of the amount Tyrese makes each hour if he can only work a total of 8 hours.
A. 20 ≤ x ≤ 22.07
B. 20 ≤ x ≤ 24.60
C. 20 ≤ x ≤ 25.34
D. 20 ≤ x ≤ 26.10
Answer:
Option B - [tex]20\leq x\leq 24.60[/tex]
Step-by-step explanation:
Given : Tyrese works each day and earns more money per hour the longer he works. Write a function to represent a starting pay of $20 with an increase each hour by 3%.
To find : Determine the range of the amount Tyrese makes each hour if he can only work a total of 8 hours.
Solution :
A starting pay is $20.
let x be the number of hours.
There is pay of $20 with an increase each hour by 3%.
i.e. Increment is [tex]\frac{3}{100}\times 20\times x=\frac{3}{5}x[/tex]
Total earnings a function can represent is
[tex]y=20+\frac{3}{5}x[/tex]
We have given, he can only work a total of 8 hours.
So, The maximum amount she make in 8 hours is
[tex]y=20+\frac{3}{5}\times 8=20+4.8[/tex]
[tex]y=24.8[/tex]
Initial amount is $20.
Therefore, The range of the amount Tyrese makes each hour if he can only work a total of 8 hours is [tex]20\leq x\leq 24.80[/tex]
So, Approximately the required result is option B.
Solve for x in the equation x^2+ 4x-4=8.
X = -6 or x = 2
X=-2+or-2sqrt2
x = -2 or x = 6
x=2+or-2sqrt2
Answer:
x = -6 or x = 2
Step-by-step explanation:
The given equation is:
[tex]x^{2}+4x-4=8\\\\ x^2+4x-4-8=0\\\\ x^2+4x-12=0\\\\[/tex]
This is quadratic equation, so we can use the quadratic formula to find the roots of the equation i.e. the value of x that satisfy the given equation.
According to the quadratic formula, the two roots will be:
[tex]x=\frac{-b \pm \sqrt{b^{2}-4ac}}{2a}[/tex]
Here,
a = coefficient of x² = 1
b = coefficient of x = 4
c = constant term = -12
Using these values, we get:
[tex]x=\frac{-4 \pm \sqrt{(4)^2-4(1)(-12)}}{2(1)}\\\\ x=\frac{-4 \pm \sqrt{64}}{2}\\\\ x=\frac{-4 \pm 8}{2}\\\\ x = \frac{-4-8}{2} , x = \frac{-4+8}{2}\\\\ x=-6, x = 2[/tex]
Thus, the two values of x that satisfy the given equation are: -6 and 2. So 1st option gives the correct answer.
Which equivalent expression will be generated by applying the Distributive Property and combining like terms in the expression 11 + 4(x + 2y + 4)?
Answer:
27+4x+8y
or
4x+8y+27 ( I can reorder this a few different ways. I don't know what your choices are)
Step-by-step explanation:
11+4(x+2y+4)
We can apply distributive property to the 4(x+2y+4), this will give us 4x+8y+16.
Bring down the 11+ and we have 11+4x+8y+16.
The only like terms we have is 11 and 16. So reorder using commutative property and get 11+16+4x+8y.
I'm going to simplify the 11+16 part which gives us 27.
In the end we have 27+4x+8y.
Let me line up so it is all nice and neat:
11+4(x+2y+4)
11+4x+8y+16
11+16+4x+8y
27+4x+8y
Determine whether quadrilateral ABCD with vertices
A(-4,-5), B(-3,0), C(0, 2), and D(5, 1) is a trapezoid.
Answerits not
Step-by-step explanation:
Answer:
Step 1: 5
Step 2: -1/5
Step 3: 2/3
Step 4: 2/3
Only one pair of opposite sides is parallel
Step-by-step explanation:
The diagonal of a square is x units. What is the area of the square in terms of x?
Answer:
[tex]\frac{1}{2}[/tex] x²
Step-by-step explanation:
let the length of the side be l
Then using Pythagoras' identity on the right triangle formed by the diagonal ( hypotenuse ) and the 2 sides
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
l² + l² = x²
2l² = x² ( divide both sides by 2 )
l² = [tex]\frac{1}{2}[/tex] x² ( since A of square = l² )
A miner dug to a point 1680 feet below sea level.
Write a signed number to represent this elevation.
Answer:
-1680
Step-by-step explanation:
Above would be positive.
Below would be negative.
You have 1680 below, so the answer as a signed number for the elevation would be -1680.
The signed number - 1680 feet addresses the excavator's exhuming point 1680 feet underneath ocean level (negative worth demonstrates beneath ocean level).
How to write a signed number to represent this elevation.The signed number addressing the height of the point 1680 feet beneath ocean level is - 1680 feet. The negative sign demonstrates that the worth is beneath the reference point, which for this situation is ocean level.
With regard to heights, we utilize positive numbers to address positions over the reference point (ocean level) and negative numbers to address positions beneath it.
The miner dug downward in this scenario, lowering the elevation above sea level. Since it is below the reference point, the elevation is negative.
The greatness of - 1680 feet shows the separation from ocean level to the place of removal, and the negative sign demonstrates the bearing beneath ocean level.
Learn more about elevation here:
https://brainly.com/question/88158
#SPJ2
Solve.
11m - 15 -5m= 9
Answer:
m=4
Step-by-step explanation:
11m - 15 -5m= 9
Combine like terms
6m -15 =9
Add 15 to each side
6m - 15+15 = 9+15
6m = 24
Divide each side by 6
6m/6 =24/6
m = 4
The tangent ratio is used for _
triangles.
acute
Obtuse
Right
All
Your answer is a right triangle, reason is because they usually use it for right triangles, not obtuse nor acute. Tangent ratio is used to find the length for the right triangle sides and it also gives the degree for each right triangle angle (right triangle has three angles, where there are 2 angles and 1 right angle.)
Hope this helped!
Nate
Answer:
The tangent ratio is used for right triangles.
Step-by-step explanation:
We have been given an incomplete statement. We are supposed to fill in the given blank for statement using correct option.
Statement:
The tangent ratio is used for _ triangles.
We know that tangent is a trigonometric ratio, which represent relation between opposite side of right triangle to its adjacent side.
Therefore, the correct term for our given statement is 'right' and option C is the correct choice.
Solve the following addition and subtraction problems. 72km95hm+7g12cg18mg= 12dag5g−7g= 4kg2hg14kg+5kg17hg= 8kg−9g−−−−−−−−−−
Answer:
a. 8g 1dg 3cg 3mg
b. 11dag 8g
c. 24kg 9hg
d. 7kg 1hg
Step-by-step explanation:
Answer:
a. 8g 1dg 3cg 3mg
b. 11dag 8g
c. 24kg 9hg
d. 7kg 1hg
Step-by-step explanation:
got it from the other person
A child's set of wooden building blocks includes a cone with a diameter of 6 cm and a height of 8 cm. What is the volume of the cone? Use 3.14 for π . Enter your answer in the box as a decimal to the nearest cubic centimeter. cm³ A right circular cone with circular base. The diameter is labeled as 6 centimeters. The height is labeled as 8 centimeters. The angle between the vertical line and diameter is marked perpendicular.
Answer:
75 cubic centimeters
Step-by-step explanation:
Volume of a cone is the area of the base times a third of the height.
The base is a circle.
The formula for the area of a circle is [tex]\pi \cdot r^2[/tex].
We are given that we want to use [tex]3.14[/tex] for [tex]\pi[/tex] and
r=(diameter)/2=6/2=3 cm.
So the area of the base is [tex]3.14 \cdot 3^2=28.26[/tex].
Now the height of the cone is 8 cm.
A third of the height is 8/3 cm.
So we want to compute area of base times a third of the height.
Let's do that:
[tex]\frac{8}{3} \cdot 28.26[/tex]
75.36 cubic centimeters
To the nearest cubic centimeters this is 75
To calculate the volume of a cone, we use the formula for the volume of a cone, which is:
\[ V = \frac{1}{3} \pi r^2 h \]
Where:
- \( V \) is the volume of the cone
- \( \pi \) is the constant Pi (approximated as 3.14)
- \( r \) is the radius of the cone's base
- \( h \) is the height of the cone
Given that the diameter of the cone is 6 cm, we find the radius by dividing the diameter by 2:
\[ r = \frac{diameter}{2} = \frac{6 cm}{2} = 3 cm \]
Now we have the radius and the height (which is given as 8 cm), we can substitute these values into the formula:
\[ V = \frac{1}{3} \pi r^2 h = \frac{1}{3} \times 3.14 \times (3 cm)^2 \times 8 cm \]
First, square the radius:
\[ (3 cm)^2 = 9 cm^2 \]
Now, perform the multiplication:
\[ V = \frac{1}{3} \times 3.14 \times 9 cm^2 \times 8 cm \]
\[ V = 3.14 \times 3 cm^2 \times 8 cm \]
\[ V = 9.42 cm^2 \times 8 cm \]
\[ V = 75.36 cm^3 \]
Finally, you want to round the volume to the nearest cubic centimeter. Since \( 75.36 \) is already a decimal to the nearest hundredth and has no fractional part in cubic centimeters, we simply round it to the nearest whole number:
\[ V \approx 75 \]
So, the volume of the cone is approximately \( 75 \) cubic centimeters.
A pyramid whose length= 12 ft,width = 7ft,and height = 10ft.
Answer:
if you mean volume its 840
Step-by-step explanation:
i just multiplied the 3 numbers
Help !!!!!!!!!!!!!!!!!!!
Shown below
Step-by-step explanation:No graph has been plotted, but the question is answerable either way and I'll be happy to help you. In this problem, we have the following inequality:
[tex]x-y-2\geq 0[/tex]
Before we focus on getting the shaded region, let's graph the equation of the line:
[tex]x-y-2=0[/tex]
So let's write this equation in slope intercept form [tex]y=mx+6[/tex]:
STEP 1: Write the original equation.
[tex]x-y-2=0[/tex]
STEP 2: Subtract -x from both sides.
[tex]x-y-2-x=0-x \\ \\ \\ Group \ like \ terms \ on \ the \ left \ side: \\ \\ (x-x) - y-2=-x \\ \\ The \ x's \ cancel \ out \ on \ the \ left: \\ \\ -y-2=-x[/tex]
STEP 3: Add 2 to both sides.
[tex]-y-2+2=-x+2 \\ \\ -y=-x+2[/tex]
STEP 4: Multiply both sides by -1.
[tex](-1)(-y)=(-1)(-x+2) \\ \\ y=x-2[/tex]
So, [tex]m=1[/tex] and [tex]b=-2[/tex]. The graph of this line passes through these points:
[tex]If \ x=0 \ then: \\ \\ y=x-2 \therefore y=(0)-2 \therefore y=-2 \\ \\ Passes \ through \ (0,-2) \\ \\ \\ If \ y=0 \ then: \\ \\ y=x-2 \therefore 0=x-2 \therefore x=2 \\ \\ Passes \ through \ (2,0)[/tex]
By plotting this line, we get the line shown in the first figure below. To know whether the shaded region is either above or below the graph, let's take point (0,0) to test this, so from the inequality:
[tex]x-y-2\geq 0 \\ \\ Let \ x=y=0 \\ \\ 0-0-2\geq 0 \\ \\ -2\geq 0 \ False![/tex]
Since this statement is false, then the conclusion is that the region doesn't include the origin, so the shaded region is below the graph as indicated in the second figure below. The inequality includes the symbol ≥ so this means points on the line are included in the region and the line is continuous.
Help meeeeeeeeeeeeee
Answer: Second Option
[tex]f (x)=\frac{2}{x}[/tex] and [tex]g(x)=\frac{2}{x}[/tex]
Step-by-step explanation:
If we have a function f(x) and its inverse function [tex]f ^ {- 1} (x) = g (x)[/tex]
Then by definition:
[tex](fog) (x) = (gof) (x) = x[/tex]
Notice that the inverse of the function [tex]f (x)=\frac{2}{x}[/tex] is [tex]f ^ {- 1}(x)=\frac{2}{x}[/tex]
then:
If [tex]f (x)=\frac{2}{x}[/tex] and [tex]g(x)=\frac{2}{x}[/tex]
Then:
[tex](fog) (x) =\frac{2}{\frac{2}{x}}[/tex]
[tex](fog) (x) =\frac{2x}{2}[/tex]
[tex](fog) (x) =x[/tex]
The answer is the second option
What is the value of x?
х= 32
х= 36
х = 37
x= 40
Answer:
x = 40 deg
Step-by-step explanation:
Given that the line at the base of the triangle is a continuous straight line,
x + (4x-20) = 180 degrees
x + 4x - 20 = 180
5x = 180 + 20
5x = 200
x = 40 deg