9514 1404 393
Answer:
z = 47 at (x, y) = (3, 8)
Step-by-step explanation:
In the attached graph, the inequalities are graphed as their opposites, so the feasible solution region is the white area of the graph. The dashed boundary lines are part of the feasible region. The vertex of the feasible region that is farthest from the origin is ...
(x, y) = (3, 8)
The value of z there is 5·3 +4·8 = 47.
The maximum value of z is 47 at the point (x, y) = (3, 8).
Thomas lives more than 0.55 km and less than 0.75 km from his school.
Thomas lives from his school?
A. 0.06 km
B 0.50 km
c. 0.60 km
D. 1.30 km
What is the difference between 75 and 55
Answer:
C 0.60km
I hope this answer helps if you have any questions just ask
7. Below are the steps taken to simplify the expression. Which justification matches Step c of the simplified expression? *
7x+8y+5x+3(y+1)
a. 7x + 8y + 5x + 3y + 3
b. 7x + 5x + 8y + 3y + 3
c. (7x + 5x) + (8y + 3y) + 3
d. 12x + 11y+ 3
A. Associative Property of Addition
B. Commutative Property of Addition
C. Combine Like Terms
D. Distributive Property
Answer:
A. Associative property of addition
Step-by-step explanation:
The associative property is about the grouping of terms/numbers in parentheses in an equation.
Zander found these coins in his Couch
Answer:
91 cents
Step-by-step explanation:
3 quarters+3 nickel+1 penny=91 cents
Answer:
91 cents
Step-by-step explanation:
3 quarters=75c
3 nickels=15c
1 penny=1c
75c+15c+1c=91 cents
HELP!!! DUE IN 8 MINS!!
Answer:
Step-by-step B. is your answer
explanation:
What is the name given to a five-sided polygon that has congruent sides? A. hexagon B. regular hexagon C. pentagon D. regular pentagon
Answer:
C
Step-by-step explanation:
Pentagon
Hope this helps (:
Answer
C). pentagon is the correct answer.
Step-by-step explanation:
A pentagon has 5 congruent sides and 5 angles.
Information collected from runner 3# is in the table below
The constant proportionality for runner 3 is..?
Answer:
the constant of proportionality would be 9
Becky wants to eat 1/4 of a small pumpkin pie. which if the following statements are correct? select all that apply
a) If she cuts the pie into 8 pieces of the same size, she should eat 2 pieces
b) If she cuts the pie into 10 pieces of the same size, she would eat 4 pieces
c) If she cuts the pie into 12 pieces of the same size, she should eat 3 pieces
Solve For X? I been stuck on this question..
Answer:
Step-by-step explanation:
8+8+8=24 as multiplecation sentence
Answer
Hola la respuesta que buscas es bastante simple pero no lo sé
Step-by-step explanation:
4.
What is the error in this equation for a trigonometric ratio? Explain the error in full sentences and give a corrected ratio. (5 points)
Answer:
[tex]\cos\ A = \frac{2}{4.5}[/tex]
Step-by-step explanation:
Given
[tex]sin\ A = \frac{2}{4.5}[/tex]
See attachment
Required
Explain and correct the error
The error in the equation is that: the formula of cosine of angle A is used to calculate the sine of angle A.
The ratio can be corrected as by using:
[tex]\cos\ A = \frac{Adjacent}{Hypotenuse}[/tex]
[tex]\cos\ A = \frac{AC}{AB}[/tex]
[tex]\cos\ A = \frac{2}{4.5}[/tex]
If one-fourth of 2^30 is equal to 2^x, what is x?
Answer:
28
Step-by-step explanation:
1/4 can be rewritten as 1 / (2^2)
or 2^-2.
using the 2nd form,
we have 2^-2 * 2^30 = 2^x
By exponent rule
2^28 = 2^x
So we can observe now that x = 28
Answer:
23
Step-by-step explanation:
(Urgent) Worth 10 points 7.3
Step-by-step explanation:
A straight line adds up to 180°
m+3m=180°
4m=180°
m=45°
3m=45°
angle CBD=3(45)
=135°
What is the median of the data set?
9
8.5
8
10
Answer:
8.5
Step-by-step explanation:
When you write out the data set, it looks like this:
5, 8, 8, 8, 8, 9, 9, 9, 10, 10
The median means the exact middle of the data set. In this case, it falls between the 8 and the 9, so the middle would be 8.5, so that's the median of the set. I hope this helps :)
Answer:
The median is 8.5
Step-by-step explanation:
The median is the middle number in a data set. For example, if you had a data set:
2, 2, 3, 4, 4
You would go forwards and backwards in the set until you found the middle number, which is 3. 3 would be the median.
However, if there is no middle number (there are an even number of points in the set), you add the two remaining numbers and divide it by two.
For example, if the final two numbers were:
2, 6
You would add 2 and 6 to get 8, and divide by 2, and you get the median 4.
In this set, we have
5, 8, 8, 8, 8, 9, 9, 9, 10, 10.
The final two numbers are 8 and 9, so you add 8+9=17, divided by 2 = 8.5.
What TWO steps do you take to solve the following equation: 5x - 3 = 12
Answer:
First add 3 to each side
Then divide each side by 5
Step-by-step explanation:
5x - 3 = 12
First add 3 to each side
5x-3+3 = 12+3
5x = 15
Then divide each side by 5
5x/5 = 15/5
x = 3
Answer:
3
Step-by-step explanation:
5x = 12 + 3
x = 15/5
x = 3
The local park has a circular pond with a radius of 9 feet. What is the pond's circumference?
Answer:
Using 3.14 as pi, the answer would be 56.52, and using just pi (as in the input on a calculator) would be 56.54867.
Step-by-step explanation:
The equation for circumference of a circle is C = πd, C representing the circumference and d representing the diameter. Since the equation shows the radius, the equation can also be C = 2πr, since the radius is half of the diameter. Multiply nine by two to get eighteen. 18 times 3.14 = 56.52.
pleas help me the question is the image below
FOR ALL MY POINTS write an argumentative essay on why dog parks are "helpful or harmful"
READ PROMPTAnswer:
Step-by-step explanation:
Which line has the same slope as the line passing through (-4, -1) and (-1, -7) ?
Answer:
D
Step-by-step explanation:
Answer:
athe correct answer of this question is 6x + 3y = 5
Find the value of x
Please help
Answer:
128 degrees
Step-by-step explanation:
360-90-90-52=128
Solve triangle ABC. (Round your answers to one decimal place.)
∠A =
13.5
°
∠B =
63.9
°
∠C =
The following expression represents the profit made by John as he mows
lawns: P = 20L - 100
Which description correctly interprets each part of the expression?
Answer:
P is price per lawn, 20 is the money made per lawn, L is the number of lawns mowed, 100 is his initial cost.
Step-by-step explanation:
The Spanish club collected $13.45 from each of its nine members. How
much did the Spanish club collect?
Answer:
$121.05
Step-by-step explanation:
Answer:
$121.05
Step-by-step explanation:
Since we are told that there is 9 members and each once is 13.45 we can simply do 13.45 times 9 to get the number 121.05.
I need help with solving this
Answer:
x=12
.......................
PLS HELP ME!!! i’ll give you a brainliest answer :)
Answer:
B is the correct answer
If the critic rates a total of 100 movies, what is the best prediction for the number of movies she gives exactly 3 stars?
А
27
B
47
50
D
35
Answer:
I think its gonna be 35 I'm not sure
Please help me Please help me Please help me Please help me Please help me Please help me Please help me Please help me
Answer:
is a d :) for a 20y
Step-by-step explanation:
The trinomial 2x2 + 13x + 6 has a linear factor of x + 6.
2x2 + 13x + 6 = (x + 6)(?)
What is the other linear factor?
A. x + 3
B. x + 6
C. 2x + 1
D. 2x + 3
Answer:
C (2x+1)
Step-by-step explanation:
I hope this helps!
-4--7=n cual es el valor de n
What is the solution to the system of equations
Y=x+6
Y= -0.5x+3
Answer:
[tex]y = 4 \\ x = - 2[/tex]
Find the volume of the given solid. Bounded by the cylinder y2 + z2 = 16 and the planes x = 2y, x = 0, z = 0 in the first octant
Answer:
[tex]\mathbf{ \dfrac{128}{3}}[/tex]
Step-by-step explanation:
Given that:
[tex]y^2 + z^2 = 16; \\ \\ where; \ x = 2y , x =0, z= 0[/tex]
[tex]Replace \ z = 0 \ \text{in the given equation ;} y^2+z^2=16[/tex]
[tex]Then;[/tex]
[tex]y^2 = 16 \\ \\ y = \sqrt{16} \\ \\ y = \pm 4[/tex]
[tex]\text{So; in 1st octant \ limits of y }= 0 \to 4 \ \text{and for x }= 0 \to 2y[/tex]
∴
[tex]\text{Volume of solid: (V) = }\int ^{4}_{y=0} \int ^{2y}_{x=0} \sqrt{16-y^2} \ dxdy \\ \\ = \int^4_{y=0} \sqrt{16 -y^2} \ (x)^{2y} _o \ dy \\ \\ = \int^4_{y=0}\sqrt{16 -y^2} (2y -0) \ dy \\ \\ V = \int^{4}_{y=0} \ 2y \sqrt{16 - y^2} \ dy[/tex]
[tex]Now, let:\\\\ 16 - y^2 = u \\ \\ -2ydy = du \\ \\ 2ydy = -du \\ \\ Hence, when \ y = 0; u = 16 \\ \\ and \\ \\ when \ y = 4 \ then \ u = 0[/tex]
∴
[tex]V = \int ^4 _{y=0} \ 2y \sqrt{16 -y^2 } \ dy \\ \\ = \int ^0_{16} - \sqrt{u}\ du \\ \\ = - \int^0_{16} \ u^{^{\dfrac{1}{2}}} \ du \\ \\ = \Bigg [\dfrac{u^{^{\dfrac{1}{2}+1}}}{\dfrac{1}{2}+1 } \Bigg]^0_{16} \\ \\ =\Bigg[ -\dfrac{u^{\dfrac{3}{2}}}{\dfrac{3}{2}}^0_{16} \Bigg] \\ \\[/tex]
[tex]= - \dfrac{2}{3}\Big( u^{\dfrac{3}{2}}\Big)^0_{16} \\ \\ = - \dfrac{2}{3} \Big(0^{^\dfrac{3}{2}}}- 16^{^{\dfrac{3}{2}}}\Big ) \\ \\ = - \dfrac{2}{3} \Big(0 - (4^2)^{^{\dfrac{3}{2}}}\Big ) \\ \\ = - \dfrac{2}{3} \Big(-(4)^{3}}\Big )[/tex]
[tex]= - \dfrac{2}{3} \Big(64\Big )[/tex]
∴
[tex]\mathbf{V = \dfrac{128}{3}}[/tex]
The top of a ladder slides down a vertical wall at a rate of 2 feet per second. At the moment when the bottom of the ladder is 4 feet from the wall, it slides away from the wall at a rate of 3 feet per second. How long is the ladder
Answer:
The length of the ladder is 7.21 feet
Step-by-step explanation:
Let
y = Height of the wall
x = Distance between the wall and the ladder (bottom)
L = Length of the ladder
So, the given parameters are:
[tex]\frac{dy}{dt} = -2ft/s[/tex]
When [tex]x = 4; \frac{dx}{dt} = 3ft/s[/tex]
The ladder, the wall and the ground forms a right-angled triangle where the hypotenuse is the length of the ladder; So:
[tex]L^2 = x^2 + y^2[/tex]
Differentiate with respect to time
[tex]2L\frac{dL}{dt} = 2x\frac{dx}{dt} + 2y\frac{dy}{dt}[/tex]
The length of the ladder does not change with time. So:
[tex]2L*0 = 2x\frac{dx}{dt} + 2y\frac{dy}{dt}[/tex]
[tex]0 = 2x\frac{dx}{dt} + 2y\frac{dy}{dt}[/tex]
Rewrite as:
[tex]2x\frac{dx}{dt} =- 2y\frac{dy}{dt}[/tex]
Divide both sides by 2
[tex]x\frac{dx}{dt} =- y\frac{dy}{dt}[/tex]
Recall that:
[tex]\frac{dy}{dt} = -2ft/s[/tex] and [tex]x = 4; \frac{dx}{dt} = 3ft/s[/tex]
So:
[tex]4 * 3 = -y * -2[/tex]
[tex]12 = 2y[/tex]
[tex]6 = y[/tex]
[tex]y = 6[/tex]
Substitute [tex]y = 6[/tex] and [tex]x =4[/tex] in: [tex]L^2 = x^2 + y^2[/tex]
[tex]L^2 =4^2 + 6^2[/tex]
[tex]L^2 =52[/tex]
[tex]L = \sqrt{52[/tex]
[tex]L = 7.21ft[/tex]