48.5 x 8.78
show your work ;)
Answers
Related Questions
Which ordered pair is a solution to the inequality 3x-4y<12 ?
Answers
The ordered pair (2,-1) is a solution the inequality.
Given the inequality is 3x-4y<12.
An inequality is a statement that compares two quantities and claims that one is greater or less than the other (the equation may also be included). These inequalities are linear if the variables are only linear.
By substituting each of the given option in the given inequality we will check which ordered pair satisfy the inequality.
1. (4,0)
Here x=4 and y=0
Substitute this in the inequality 3x-4y<12, we get
3(4)-4(0)<12
12<12
This is not true
2. (0,-3)
Here x=3 and y=-3
Substitute this in the inequality 3x-4y<12, we get
3(0)-4(-3)<12
12<12
This is not true.
3. (2,-1)
Here x=2 and y=-1
Substitute this in the inequality 3x-4y<12, we get
3(2)-4(-1)<12
6+4<12
10<12
This is true.
4. (4,-3)
Here x=4 and y=-3
Substitute this in the inequality 3x-4y<12, we get
3(4)-4(-3)<12
12+12<12
24<12
This is not true.
Hence, the ordered pair that satisfy the given inequality 3x-4y<12 is (2,-1).
Learn more about inequality from here brainly.com/question/21819032.
#SPJ1
The sides of a rectangle are enlarged by a scale factor of 2. Write
down the scale factor that the area is enlarged by.
Answers
Answer:
4
Step-by-step explanation:
both sides are multiplied by 2 which means its the original area*2*2 which means it's the original area*4
Your students have been working on algebra equations involving inequalities. The rule for learning the > sign is:
Answers
The rule for learning the > sign is demonstrating eating with the right hand.
InequalityThe inequality signs are;
Greater than >Let was than <Equal to =Greater than or equal to ≥Less than or equal to ≤The rule for teaching your students the greater than > sign is by imagining eating with their right hand. The shape of the hand when taking food into the mouth is the greater than sign.
Learn more about inequality:
https://brainly.com/question/25275758
#SPJ1
2x+9=1x-5 what is x?
Answers
Answer:
2x+9=1x-5
2x-1x=-5-9
x=-14
2x-1x=-9-5
x=-14
Lisa has $7.80 to spend on some tomatoes and a loaf of bread. Tomatoes cost $1.20 per pound, and a loaf of bread costs $1.80.The inequality 1.20x + 1.80 ≤ 7.80 models this situation, where x is the number of pounds of tomatoes.Solve the inequality. How many pounds of tomatoes can Lisa buy
Answers
Answer:
At maximum, she can buy 5 tomatoes.
Step-by-step explanation:
If you solve the inequality, as so:
1.2x+1.8 <=7.8
1.2x <= 6
x <= 5
a. If you wanted to draw a circle around this triangle that passed through points A, B, and C as shown by circle P, what steps would you take to do that? b. What steps would you take to draw a circle within the triangle such that each side of the triangle became a tangent line to the circle as shown by circle R? c. If a line drawn from point B to point P measures 2 inches, what is the diameter, circumference, and area of circle P in terms of I? d. Describe how you would find the area of the region bounded by segment BC and arc BDC in terms of a if the arc measure of arc BDC is 60°
Answers
The circumference and area of the circle is 12. 57 inches and 12. 57 inches square respectively.
Steps involved in inscribing a triangleThe steps involved in inscribing a triangle;
Construct two chords on the circle.Then , draw a perpendicular bisector to the chords with the compass which must meet at the center of the circle. Make a line from the center to one of the farthest points of the chords.Draw two lines to form a 30 degree with the radius on the opposite side.Stretch out these two lines to make two chords on the circle. The two chords should make angle of 60 degrees to each other.Then connect the other extreme of the two chords this makes an equilateral triangle.If the line drawn from point B to point P measures 2 inches, then the diameter is
= 2 × 2
= 4 inches.
The formula for calculating the circumference of a circle is given as;
Circumference = 2 π r
Radius = diameter/ 2
Radius = 4/2 = 2 Inches
Substitute the values
Circumference = 2 × 3. 142 × 2
Circumference = 12. 57 inches
Area = π r²
Area = 3. 142 × 2²
Area = 3. 142 × 4
Area = 12. 57 square inches
Thus, the circumference and area of the circle is 12. 57 inches and 12. 57 inches square respectively.
Learn more about a circle here:
https://brainly.com/question/15673093
#SPJ1
The margin of sampling error is obtained by multiplying the standard error with the _______.
Answers
The margin of sampling error is obtained by multiplying the standard error with the critical value.
What is the margin of sampling error?
The margin of sampling error is a statistic that tells a researcher by how many percentage points the result gotten from the sample value would differ from that of the population. This value is obtained by multiplying the standard error with the critical value.
To learn more about margin of sampling error, please check: https://brainly.com/question/20733951
#SPJ1
find the volume of the solid generated by rotating the
region bounded by the curves y=0, y= (x^2)+x, x=2
and x=0 about the y-axis
Answers
The volume of the solid generated by rotating the region bounded by the curves y = 0, y = x² + x, x = 2 and x = 0 about the y-axis is 40π/3 cubic units.
How to find the volume of the solid generated?To find the volume of the solid generated, we use the shell method since the cross-sections are parallel to the axis of rotation.
So, [tex]V = 2\pi\int\limits^a_b {xy} \, dx[/tex]
Now given that the region bounded by the curves y = 0, y = x² + x, x = 2 and x = 0 about the y-axis.
So, we integrate from x = 0 to x = 2.
[tex]V = 2\pi\int\limits^a_b {xy} \, dx\\= 2\pi\int\limits^2_0 {x(x^{2} + x)} \, dx\\= 2\pi\int\limits^2_0 {(x^{3} + x^{2} )} \, dx\\= 2\pi\int\limits^2_0 {x^{3} + 2\pi\int\limits^2_0 x^{2} } \, dx\\= 2\pi[\frac{x^{4} }{4}]_{0}^{2} + 2\pi[\frac{x^{3} }{3}]_{0}^{2} \\= 2\pi[\frac{2^{4} - 0^{4} }{4}}]+ 2\pi[\frac{2^{3} - 0^{3} }{3}]\\= 2\pi[\frac{16 - 0}{4}}]+ 2\pi[\frac{8 - 0}{3}]\\= 2\pi[\frac{16}{4}}]+ 2\pi[\frac{8}{3}]\\= 2\pi (4)+ [\frac{16\pi}{3}]\\= 8\pi + [\frac{16\pi}{3}]\\[/tex]
[tex]= \frac{24\pi + 16\pi}{3} \\= \frac{40\pi}{3}[/tex]
So, the volume of the solid generated by rotating the region bounded by the curves y = 0, y = x² + x, x = 2 and x = 0 about the y-axis is 40π/3 cubic units.
Learn more about volume of solid generated here:
https://brainly.com/question/13117921
#SPJ1
which of the following is an exponential function y=x^1/2 y=2x^3 y=3^x
Answers
Answer:
(c) y = 3^x
Step-by-step explanation:
A function is described as exponential if the independent variable is found in the exponent.
Choicesy = x^(1/2) . . . a square root function, not exponential
y = 2x^3 . . . . a cubic (polynomial) function, not exponential
y = 3^x . . . . . an exponential function
what does 21/10 divided by 2 4/5 represent in this situation
Answers
Which equation is the inverse of y = 9x² - 4?
0y= ± √x+4
9
O y = ±₁
+4
9
Oy= 2√x+4
3
INX
+√√√x 2
Oy= 3 3
Answers
[tex]y=9x^2-4\\9x^2=y+4\\x^2=\dfrac{y+4}{9}\\x=\pm\sqrt{\dfrac{y+4}{9}}=\pm\dfrac{\sqrt{y+4}}{3}\\\\\text{inverse: }y=\pm\dfrac{\sqrt{x+4}}{3}[/tex]
The inverse of the function y = 9x² - 4 is y = ±√((x + 4)/9). The correct option is A.
What is the inverse of the function?To find the inverse of a function, we need to swap the positions of the input variable (usually x) and the output variable (usually y), and then solve for y. The resulting equation will be the inverse function.
To find the inverse of the function y = 9x² - 4, we need to swap the positions of x and y and then solve for y.
So, starting with y = 9x² - 4:
y = 9x² - 4
x = 9y² - 4 (swapping x and y)
x + 4 = 9y² (adding 4 to both sides)
y² = (x + 4)/9 (dividing both sides by 9)
y = ±√((x + 4)/9) (taking the square root of both sides, plus or minus)
So the inverse of the function y = 9x² - 4 is:
y = ±√((x + 4)/9)
Note that since we have a plus or minus sign in the expression, this means that the inverse is actually two functions: one that gives the positive square root, and one that gives the negative square root.
To know more about an inverse of the function follow
https://brainly.com/question/3831584
#SPJ5
For the inequality y−x>−x2−1, where is the graph shaded and is the curve solid or dotted?
Answers
The curve will be dotted and upper portion of the graph will be shaded.
Inequality expressionInequality are expressions not separated by an equal sign Given the following inequality
y−x>−x2−1
Equate to zero
y > x^2 + x -1
Since the inequality sign in the given expression is a less than sign, hence the curve will be dotted.
Also, since the inequality sign is a "greater than", hence upper portion of the graph will be shaded.
Learn more on inequality graph here: https://brainly.com/question/11234618
#SPJ1
Assume that the function f is a one
-to-one function.
(a) If f (7)
= 5, find f-1 (5)
Your answer is
(b) 18 f-1 (-3) = -2, find f(-2).I
Your answer is
Answers
For the given inverse functions we have:
a) f⁻¹(5) = 7
b) f(-2) = -3
How to work with inverse functions?
Remember that if f(x) and g(x) are inverse functions, then:
[tex]f(x) = y\\then\\g(y) = x[/tex]
a) Now we know that:
f(7) = 5
Then if f⁻¹(x) is the inverse, we have:
f⁻¹(5) = 7
b) Now we know that:
f⁻¹(-3) = -2
Again, using the rule for inverse functions, we will have:
f(-2) = -3
If you want to learn more about inverse functions:
https://brainly.com/question/14391067
#SPJ1
If the function is:
What is f(-4)?
Answers
Answer:
D. -11
Step-by-step explanation:
Piecewise functions have multiple pieces of curves/lines where each piece corresponds to its definition over an interval.
Given piecewise function:
[tex]f(x)=\begin{cases}2x-3 & \textsf{if }x \leq -4\\x^2 & \textsf{if }-4 < x < 0\\x+5 & \textsf{if }x \geq 0\end{cases}[/tex]
Therefore, the function has three definitions:
[tex]f(x)=2x-3 \quad \textsf{ when x is equal to or less than -4}[/tex]
[tex]f(x)=x^2 \quad \textsf{ when x is greater than -4 or less than zero}[/tex]
[tex]f(x)=x+5 \quad \textsf{ when x is greater than zero}[/tex]
f(-4) means to substitute x = -4 into the function.
As x = -4 satisfies the interval of the first piece of the function, substitute x = -4 into f(x) = 2x - 3:
[tex]\begin{aligned}\implies f(-4) & =2(-4)-3\\& = -8 -3\\& = -11\end{aligned}[/tex]
Learn more about piecewise functions here:
https://brainly.com/question/28186577
https://brainly.com/question/28151925
Answer is D. -11
Answer:
Solution Given:
f(-4) depends on the condition x≤-4,
so
f(-4)=2*-4-3=-8-3=-11
Which of the following are solutions to the quadratic equation? Check all that apply. x² + 10x + 25 = 7
A. 5
B. -5
C. √7-5
D. -√7-5
E. √7 +5
F. √7
Answers
Answer: C, D
Step-by-step explanation:
[tex]x^2 +10x+18=0\\\\x=\frac{-10 \pm \sqrt{10^2 - 4(1)(18)}}{2}\\\\x=\frac{-10 \pm \sqrt{28}}{2}\\\\x=-5 \pm \sqrt{7}[/tex]
Solve.
Three times the sum of some number plus 3 is equal to 7 times the number minus 23.
Answers
The unknown number of the given expression is 8
Linear equationsLet the unknown number be x such that three times the sum of some number plus 3 is equal to 7 times the number minus 23 is expressed as;
3(x + 3) = 7x - 23
Expand
3x + 9= 7x - 23
Collect the like terms
3x-7x = -23 - 9
-4x = -32
x = 8
Hence the unknown number of the given expression is 8
Learn more on equation here; https://brainly.com/question/13763238
#SPJ1
Now suppose b stays the same. Then, a must be its previous value to satisfy the new inequality.
Answers
When the coordinate satisfies the original inequality, if a stays the same, b must be greater than its previous value to satisfy the new inequality.
How to illustrate the information?It should be noted that inequality provides an interval to the solution.
This is illustrated graphically. Let's illustrate this with an example, suppose a =1, b = 3
a - b < 0.
1 - 3 < 0
-2 < 0
If a stays the same value, b will be greater than 1.
Learn more about inequalities on:
brainly.com/question/11613554
#SPJ1
11. What effect size do you use for parametric t-tests?
12. What effect size do you use for non-parametric t-tests?
13. What effect size would you use for chi-square tests?
Answers
The effective sizes for parametric tests, non parametric tests and chi square tests are as detailed below.
How to interpret the size of statistics test?
11) Parametric t-tests are statistical tests that assume the data approximately follows a normal distribution. Now, when trying to check for parametric t-tests, the effective size we use is Cohen's d which is an appropriate effect size for the comparison between two means.
12) Nonparametric t-tests are those statistical tests that don’t assume anything about the distribution followed by the data, and hence are also known as distribution free tests.
In non - parametric t - tests, we calculate effect size by using the formula;
r = z/√N
where;
r is effect size
z is z value
N is Observation number.
13) In the chi-square test, the effect size index (w) is calculated by dividing the chi-square value by the number of scores and taking the square root.
The effective size is considered small if w = 0.10, Considered medium if w = 0.30, and large if w = 0.50.
Read more about Statistics test size at; https://brainly.com/question/17203075
#SPJ1
I need help with this slope
Answers
Answer:
B, C
Step-by-step explanation:
Look at the lower blue point.
Its coordinates are (4, 3).
The x-coordinate, 4, stands for minutes.
The y-coordinate, 3, stands for number of boxes.
This is a slope of 3/4, corresponding to 0.75 boxes per minute, or 3 boxes every 4 minutes.
Answer: B, C
Answer:
3 boxes are filled every 4 minutes.
Step-by-step explanation:
Look at the graph; at the bottom of the graph, it is shown that every __ minutes, __ boxes are filled. If you look at the first shown blue point on the left of the graph, it shows that on the fourth minute, three boxes are filled, as from the axis, you go right four and up three.
The sun
of three numbers is 24. If two numbers are 16 and 22, what is the third?
Answers
Answer:
The Third would be 72
Step-by-step explanation:
The sum of the two is 16+22=38. the third one is 72-38=34
An Annuity Immediate Has 32 Initial Quarterly Payments Of 20 Followed By A Perpetuity Of Quarterly Payments Of 25 Starting In The 9th Year. Find The Present Value At A Nominal Rate Of 16%
Answers
The present value of the nominal rate of the annuity will be $535.
How to calculate the annuity?Annuity amount = 20
Number of annuities = 32
APR = 16%
PV of annuities = 357
Number of years to perpetuity = 8
Quarterly perpetuity = 25
PV of perpetuity at 9th year = 625
PV of perpetuity today = 178
Total PV = 357 + 178 = 535
Learn more about annuity on:
brainly.com/question/5303391
#SPJ1
Our peak time this week will be 8:00 AM to 12:00 PM, which requires 32% more agents than the afternoon requirements of 473 agents.” Representative: “So, you will need to have __________ in the morning shift.
Answers
The number of agents required in the morning shift 8:00 AM to 12:00 PM is 624.36 agents
PercentagePeak time = 8:00 AM to 12:00 PMAgent required in the afternoon = 473 agentsAgent required in the morning = (32% of 473) + 473
= (32/100 × 473) + 473
= (0.32 × 473) + 473
= 151.36 + 473
= 624.36 agents
Learn more about percentage:
https://brainly.com/question/843074
#SPJ1
how can I solve for x? Answers ASAP
Answers
Using the inscribed angle theorem, the value of x is: 9.
What is the Inscribed Angle Theorem?Note that an intercepted arc is regarded as part of the circumference of a circle, which is between a chord and a tangent. Thus, based on the inscribed angle theorem, the inscribed angle measure = 1/2(the intercepted arc measure).
So, we would have:
m∠DEF = 1/2(arc DE)
m∠DEF = 4x + 19
arc DE = 360 - (28x - 2) = 360 - 28x + 2
arc DE = 362 - 28x
Plug in the values
4x + 19 = 1/2(362 - 28x)
Solve for x
2(4x + 19) = 362 - 28x
8x + 38 = 362 - 28x
8x + 28x = 362 - 38
36x = 324
x = 324/36
x = 9
Learn more about the inscribed angle theorem on:
https://brainly.com/question/3538263
#SPJ1
Blossom company , a machinery dealer leased manufacturer equipment to Mays corporation on January 1, 2017. The lease is a 7 year period and requires equal annual payments of $26143 at the beginning of each year . The first payment is received on January 1, 2017 . Blossom had purchased the machine during 2016 for $75000 collectibility of lease payments is reasonable predictable, and no important uncertainties surround the amount of cost yet to be incurred by blossom se the annual rentel to ensure a 8% rate of return . The machine has an economic life of 8 years with no resiidaul value and reverts to blossom at the termination of the lease.A. Compute the amount of the lease receivable
Answers
The amount of the lease receivable will be $146999.
What are lease receivable?It should be noted that lease receivables means all the payments under the operative documents in respect of:
(i) the Purchaser Basic Rent,
(ii) the Maximum recourse amount,
(iii) the Purchaser Balance and
(iv) any purchase by the Lessee of the Properly up to the amount of the Capital then outstanding.
In this case, the lease is a 7 year period and requires equal annual payments of $26143 at the beginning of each year and the first payment is received on January 1, 2017.
The lease receivable will be:
= PVAD8%,7 × Lease payment
= 5.62288 × 26143
= $146999
In conclusion, the lease receivable is $146999.
Learn more about lease receivable on:
https://brainly.com/question/25760475
#SPJ1
Which of the relations given by the following sets of ordered pairs is a function?
O {(2,-8), (1, — 4), (0, 0), (1, 4), (2, 8)}
O {(3, -3), (3, -1), (3, 1), (3, 3), (3,5)}
O {(1, 2), (2, 3), (3, 4), (5, 6), (2, 1)}
O {(-2,5), (7,5), (-4, 0), (3, 0), (1, -6)}
Answers
Answer:
Option (4)
Step-by-step explanation:
Each value of x maps onto only one value of y, so it is a function.
The width of a rectangular house is 22 feet. What is the perimeter of this house if it has the same area as a house that is 33 ft wide and 50 ft long
1) 184 feet
2) 200 feet
3) 194 feet
4) 206 feet
Answers
Answer:
3) 194 feet
Step-by-step explanation:
The other house:
"a house that is 33 ft wide and 50 ft long"
area = LW = (33 ft)(50 ft) = 1650 ft²
This house:
LW = A
L × 22 ft = 1650 ft²
L = 75 ft
P = 2(L + W)
P = 2(75 ft + 22 ft)
P = 194 ft
Answer: 3) 194 feet
Answer:
3) P = 194 ft.
Step-by-step explanation:
[tex]A=wl[/tex]
[tex](30)(50)=22l[/tex]
[tex]1650=22l[/tex]
[tex]l=1650/22=75[/tex]
the dimensions of the house are: (22 × 75)
Perimeter:
[tex]p=2(22)+2(75)=44+150=194[/tex]
Hope this helps
Consider the following graph
a) What is the equation of the axis?
b) What is the period?
c) What is the amplitude?
d) Is this a sine graph or a cosine graph? Explain
Answers
a) The equation of axis is the middle y-coordinate, which is y = -1.5.
b) The period is the amount of time it takes for the graph to repeat, which is 6.
c) The amplitude is the vertical distance from an extreme point to the midpoint, which is 3.
d) This is a cosine graph since when x=0, y is not equal to 0.
I just need help on what the answer is and understanding this question, thank you.
The graph represents the potential area of a concrete rectangle, based on length and width.
Which inequality in vertex form represents the graphed region?
A)y less-than negative 2 (x + 16) squared minus 32
B)y less-than negative one-half (x minus 16) squared + 32
C)y less-than negative 2 (x minus 16) squared + 32
D)y less-than negative one-half (x + 16) squared minus 32
Answers
The inequality of the graph is y < -1/2(x - 16)^2 + 32
How to determine the inequality?A quadratic function is represented as:
y = a(x - h)^2 + k
The vertex of the graph is
(h, k) = (16, 32)
So, we have:
y = a(x - 16)^2 + 32
The graph pass through the point
(x, y) = (12, 24)
So, we have:
24 = a(12 - 16)^2 + 32
Evaluate the like terms
-8 = a(-4)^2
This gives
16a = -8
Divide by 16
a = -1/2
Substitute a = -1/2 in y = a(x - 16)^2 + 32
y = -1/2(x - 16)^2 + 32
The graph is a less than graph.
So, we have
y < -1/2(x - 16)^2 + 32
Hence, the inequality of the graph is y < -1/2(x - 16)^2 + 32
Read more about inequality at:
https://brainly.com/question/17675534
#SPJ1
Sheffield corporation shipped $20400 of merchandise on a consignment to Gooch company. Sheffield paid frieght cost of $2000. Gooch company paid $480 for local advertising wich is reimbursed from Sheffield . By year end 62% of the merchandise had been sold for $21500.Gooch notified Sheffield , retained a 10% commission , and remitted the cash due Sheffield . Prepare sheffield journal entry when the cash is received
Answers
The appropriate journal entry when the cash is received is: Debit Cash $18,870, Debit Advertising expense $480, Debit Commission expense $2,150, Credit Revenue from consignment sales $21,500.
Journal entrySheffield corporation entries
Debit Cash $18,870
[$21500-($480+ ($21500×10%))]
Debit Advertising expense $480
Debit Commission expense $2,150
(21,500×10%)
Credit Revenue from consignment sales $21,500
Debit Cost of goods sold $13,888
[($20400+$2000)×62%]
Credit Inventory on consignment $13,888
Therefore journal entry when the cash is received is: Debit Cash $18,870, Debit Advertising expense $480, Debit Commission expense $2,150, Credit Revenue from consignment sales $21,500.
Learn more about journal entry here:https://brainly.com/question/14279491
#SPJ1
If
xn = (n−1)cos(n2 +n+1) 2n−1
EXERCISES
then xn has a convergence subsequence.
Answers
The proof using Bolzano-Weierstrass Theorem is suggestive of the fact that the bounded sequence that is given has a subsequence that is convergent.
What is Bolzano-Weierstrass Theorem?The Bolzano-Weierstrass theorem, is a key conclusion regarding convergence in a finite-dimensional Euclidean space in mathematics, notably in real analysis.
According to the theorem above, each bounded sequence in Rⁿ has a convergent subsequence.
***See proof in the attached document.
Hence the given sequence is bounded. It is safe therefore to state that given Bolzano-Weierstrass theorem, the stated real bounded sequence has a convergent subsequence.
Learn more about Bolzano-Weierstrass Theorem:
https://brainly.com/question/1581408
#SPJ1