Answer:
14.69 ft.
Step-by-step explanation:
Area of a square:
A= [tex]a^2[/tex]
Given:
A=221 [tex]ft^{2}[/tex]
Solve:
221= [tex]a^2[/tex]
[tex]\sqrt{221}[/tex]=[tex]\sqrt{a}^2[/tex]
a is approx. equal to 14.87 ft.
which is 14.69 ft.
1/3 ÷ (-2 2/3)=
what is the answer to this
Answer:
-0.125 or -1/8
The function f(t) = 349.2(0.98)t models the relationship between t, the time an oven spends cooling and the temperature of the oven. A 2-column table with 5 rows. The first column is labeled time (minutes)t with entries 5, 10, 15, 20, 25. The second column is labeled oven temperature (degree Fahrenheit) f(f) with entries 315, 285, 260, 235, 210. For which temperature will the model most accurately predict the time spent cooling? 0 100 300 400
Answer:
C. 300
We need to find the temperature that most resembles with the model
We can easily see the graph if we plot it using a calculator
f(t) = 349.2(0.98)^t
Case a. 0
Zero is only achievable as the cooling time goes to infinity. This is not the case.
Case b. 100
for f = 100,
t ≈ 61.6,
which is out of the values of the table
Not the correct option
Case c. 300
for f = 300,
t ≈ 7.5,
which is in range with the values of the table
Answer:
CCCCCC
Step-by-step explanation:
a man pay rs. 14404 Income Tax at the rate of Rs 2 per Rs 100 find his income?
Please help me please thank you so much in advance
Answer:
51 degrees
Step-by-step explanation:
True or false;
"All linear functions have
exactly one x-intercept."
Explain your thinking
Answer: True
Step-by-step explanation:
If a function is linear, it only goes in one direction, which means it can only intercept the x-axis one time.
1 point
6. At five below there is a discount of $5 for every 4 items you buy. If the
receipt show discount of $20 how many items did you buy?*
HINT: This problem is similar to #6, page 90
O A You bought 20 items
B You bought 15 items
C You bought 16 itmes
D You bought 8 items
c. 5x4=20
4x4=16 items.
Between what two consecutive number does - 12 square root lie ?
Answer:
3 and 4
Step-by-step explanation:
5/-8 divided by 1 3/7
Answer:
3
Step-by-step explanation:
You would do 3/5 =6 then do 13/7 = 18/6=3
Simplify:
4a - (-3b) + (-2c)
Answer:
4a-2c+36
Step-by-step explanation:
that is it
The quotient of 2.6 and –2.6 is
.
Answer:
1
Step-by-step explanation:
Answer:
the actual answer to this question you have asked would actually be -1 due to the rule when it comes to dividing a positive and a negative so first we would 2.6 divided by 2.6 we know that it is a negative so we would make it -1
Step-by-step explanation: so. out of he answer choices choose A. -1
mark brainliest
34 divided by 35.42 plss help
Answer:
1700/1771
Step-by-step explanation:
Answer:
.96
Step-by-step explanation:
if u divide 34/35.42, you get the exact answer of .9599096556 . If u round your decimal u will end up with .96 . Hope this helped!
Find the equation of the linear function x 1 2 3 4 y 6 9 12 15
Answer:
The equation of the linear function is y = 3x + 3
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
m is the slopeb is the y-interceptThe rule of the slope is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where
(x1, y1) and (x2, y2) are two points on the line∵ A line passes through points (1, 6) and (2, 9)
∴ x1 = 1 ad y1 = 6
∴ x2 = 2 and y2 = 9
→ Use the rule of the slope above to find the slope of the line
∵ m = [tex]\frac{9-6}{2-1}[/tex] = [tex]\frac{3}{1}[/tex] = 3
∴ m = 3
→ Substitute the value of m in the form of the equation above
∴ y = 3x + b
→ To find b substitute x and y in the equation by the coordinates of any
point on the line
∵ x = 1 and y = 6
∴ 6 = 3 (1) + b
∴ 6 = 3 + b
→ Subtract 3 from both sides
∵ 6 - 3 = 3 - 3 + b
∴ 3 = b
→ Substitute the value of b in the equation above
∴ y = 3x + 3
∴ The equation of the linear function is y = 3x + 3
Winston plans to hire a moving company to help him
move. The company charges $80 per hour and a flat
rate of $150 for the truck and packaging materials.
Winston wants to spend no more than $500 on
the total moving costs. If the company charges for
a whole number of hours, what is the maximum
number of hours for which Winston can hire the
moving company?
Find an equation for the perpendicular bisector of the line segment whose endpoints
are (-1,5) and (-7, -7).
Answer:
The equation of the perpendicular bisector is y = [tex]\frac{-1}{2}[/tex] x - 3
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
m is the slopeb is the y-interceptThe rule of the slope is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where
(x1, y1) and (x2, y2) are two points on the lineThe rule of the mid-point is M = ([tex]\frac{x1+x2}{2},\frac{y1+y2}{2}[/tex])The product of the slopes of the perpendicular lines is -1, that means if the slope of one is m, then the slope of the other is [tex]\frac{-1}{m}[/tex] (we reciprocal m and change its sign).∵ A line passes through points (-1, 5) and (-7, -7)
∴ x1 = -1 ad y1 = 5
∴ x2 = -7 and y2 = -7
→ Use the rule of the slope above to find the slope of the line
∵ m = [tex]\frac{-7-5}{-7--1}[/tex] = [tex]\frac{-12}{-7+1}[/tex] = [tex]\frac{-12}{-6}[/tex] = 2
∴ m = 2
→ Reciprocal the value of m and change its sign to find the slope of
the line perpendicular line
∴ m⊥ = [tex]\frac{-1}{2}[/tex]
→ Substitute in the form of the equation above
∵ y = [tex]\frac{-1}{2}[/tex] x + b
∵ The ⊥ line is also the bisector of the given line, find the mid-point
of the given line because it is also lying on the ⊥ line
∵ M = ([tex]\frac{-1+-7}{2},\frac{5+-7}{2}[/tex]) = ([tex]\frac{-8}{2},\frac{-2}{2}[/tex]) = (-4, -1)
∴ M = (-4, -1)
→ Substitute the coordinates of M in the equation of the ⊥ line above
∵ x = -4 and y = -1
∴ -1 = [tex]\frac{-1}{2}[/tex] (-4) + b
∴ -1 = 2 + b
→ Subtract 2 from both sides
∴ -3 = b
→ Substitute the value of b in the equation
∴ y = [tex]\frac{-1}{2}[/tex] x + -3
∴ y = [tex]\frac{-1}{2}[/tex] x - 3
∴ The equation of the perpendicular bisector is y = [tex]\frac{-1}{2}[/tex] x - 3
Classify the system and identify the number of solutions.
4x + 3y + 6z = 25
x + 5y + 7z = 13
2x + 9y + z = 1
Answer:
consistent, independent; one
Step-by-step explanation:
The solution is (4, −1, 2). Because the system has one solution, it is consistent and independent.
The system of equation is consistent and have unique solution.
What is Matrix?Rows and columns of numbers are arranged in a matrix.
A rectangular matrix is a grouping of numbers into rows and columns. The matrix A, for instance, has two rows and three columns.
Given:
4x + 3y + 6z = 25
x + 5y + 7z = 13
2x + 9y + z = 1
Writing the into matrix form
A= [tex]\left[\begin{array}{ccc}4&3&6\\1&5&7\\2&9&1\end{array}\right][/tex] and B= [tex]\left[\begin{array}{ccc}25\\13\\1\end{array}\right][/tex]
Now, find the determinant we get
[tex]D_x[/tex] = -796, [tex]D_y[/tex]= 199, [tex]D_z[/tex] = -398
and Determinant of matrix A= -199
So, x= -796/-199= 4
y= 199/-199 =-1
z= -398/-199 = 2
hence, the system of equation is consistent and have unique solution.
Learn more about matrix here:
https://brainly.com/question/28180105
#SPJ2
HELP! The value of y is directly proportional to the value of x. Given y = 11 when x = 77. What is the value of y when x = 98?
17
7
686
14
Answer:
The answer should be 14.
Step-by-step explanation:
14×7=98
(2x+1)(x+3)
what is the answer
Answer:
2x^2 +7x+3
Step-by-step explanation:
(2x+1)(x+3)
We can solve equations like this using the FOIL (First Outside Inside Last) method.
(2x)(x)+(2x)(3)+(1)(x)+(1)(3) -> 2x^2+6x+x+3
Now we can simplify using like terms
2x^2+7x+3
Please help! Thank you
Answer:Equilateral
Step-by-step explanation:
f y varies directly as x, and y is 6 when x is 72, what is the value of y when x is 8?
Answer:
eeeeeeeeeeeeeeeeeeeeeeeeeee
Step-by-step explanation:
sssssssssssssssssssssssss
PLEASE help i need help
Answer: B = D
because we have:
[tex]x^{1/3}.x^{1/3}.x^{1/3}=x^{1/3+1/3+1/3}=x^{3/3}=x^{1}=x[/tex]
[tex]\frac{1}{x^{-1} }=\frac{1}{\frac{1}{x} }=x[/tex]
Step-by-step explanation:
Consider the diagram.
Lines AC and RS are
coplanar.
parallel.
perpendicular.
skew.
Answer: Skew
Step by step: Because it is
When x=1/3 and y=1/6, −2x+8y=
Answer:
The answer is 2/3.
Step-by-step explanation:
Answer:
2/3
Step-by-step explanation:
-2x+8y
-2(1/3)+8(1/6)
=2/3
Help me what’s the answer.
Answer:
Answer 3
Step-by-step explanation:
We know if two line pass through each other that the opposite angles will always be equal. Do we know it is simalar and that it is angle angle (aa), not angle side angle (asa). And we can also figur out GHF is similar to KHJ because it is a mirror, unlike JHK.
Cassandra's money that she makes from selling cookies can be determined by the equation y = 2X -
20. To not lose money she has to sell over 10 cookies per day but she only makes a batch of 15
cookies each day. What is the range in this situation if she does not lose money?
Answer choices shown in picture. Please help! I put 45 points and i’ll give you a brainliest if it’s correct!
Answer:
E
Step-by-step explanation:
Because the y-intercept is (0,-20)
help me
the question about algebra
➡️do not inconsequential and must with and must be accompanied by steps for the process
thanks
9514 1404 393
Answer:
(x, y, z) = (8√7/105, 2√7/21, 4√7/35)
Step-by-step explanation:
The algebra is straightforward, if tedious.
We'll define X = x^2, Y = y^2, Z = z^2, -1/16 = a, -1/25 = b, -1/36 = c. Then the equations become ...
√X = √(Y +a) +√(Z +a) . . . . [eq1]
√Y = √(Z +b) +√(X +b) . . . . [eq2]
√Z = √(X +c) +√(Y +c) . . . . [eq3]
__
As with any radical equation, you square both sides, isolate the remaining radical, then square both sides again. Each squaring introduces extraneous solutions.
The equations are symmetrical, so we can do the tedious stuff on the first one, then make the appropriate substitutions to see the other two equations.
X = Y +a + 2√((Y+a)(Z+a)) +Z +a
X - Y - Z -2a = 2√((Y+a)(Z+a)) . . . . isolate the remaining radical
(X -Y -Z -2a)^2 = 4(Y+a)(Z+a) . . . . square both sides again
X^2 +Y^2 +Z^2 +4a^2 -2XY -2XZ +2YZ -4aX +4aY +4aZ = 4YZ +4aY +4aZ +4a^2
Subtracting the right side gives ...
X^2 +Y^2 +Z^2 -2XY -2XZ -2YZ -4aX = 0 . . . . [eq4]
Then the remaining equations are ...
X^2 +Y^2 +Z^2 -2XY -2XZ -2YZ -4bY = 0 . . . . [eq5]
X^2 +Y^2 +Z^2 -2XY -2XZ -2YZ -4cZ = 0 . . . . [eq6]
Subtracting [eq6] from [eq5] gives a relation between Y and Z:
-4bY +4cZ = 0
Z = bY/c . . . . [eq7]
Substituting this into [eq4], we have ...
X^2 +Y^2 +(bY/c)^2 -2XY -2X(bY/c) -2Y(bY/c) -4aX = 0
X^2 +Y^2(1 -2b/c +(b/c)^2) -2XY(1 +b/c) -4aX = 0 . . . . [eq8]
Subtracting [eq5] from [eq4] gives a relation between X and Y:
-4aX +4bY = 0
Y = aX/b . . . . [eq9]
Substituting this into [eq8], we have ...
X^2 +(aX/b(1 -b/c))^2 -2X(aX/b)(1 +b/c) -4aX = 0
Dividing by X* gives a linear equation in X:
X(1 +(a/b(1 -b/c))^2 -2a/b(1+b/c)) -4a = 0
X = 4a/(1 +(a/b(1 -b/c))^2 -2a/b(1+b/c))
Substituting the above values for a, b, c, we have ...
X = 64/1575
x = √X = √(64/1575) = 8/(15√7)
Y = X(25/16)
y = x(5/4) = 2/(3√7)
Z = Y(36/25)
z = y(6/5) = 4/(5√7)
The solution is ...
x = 8√7/105 ≈ 0.201581y = 2√7/21 ≈ 0.251976z = 4√7/35 ≈ 0.302372_____
* At this point the equation is of the form pX^2 +qX = 0 or X(pX +q) = 0. One solution is X=0, which is extraneous. The solution of interest is X = -q/p.
What is 325 percent of $120? Use the diagram to solve the problem.
A 2-column table with 5 rows. Column 1 has entries 100 percent, 100 percent, 100 percent, 25 percent, Total 325 percent. Column 2 has entries 120 dollars, 120 dollars, 120 dollars, A, Total B.
A =
B =
Answer: 390 I’m sorry if it was wrong but that what I got
Answer: A: 30 B: 390.
What is the final amount if 943 is decreased by 13% followed by a further 6% decrease?
Give your answer rounded to 2 DP.
Answer:
943-13% = 820.41
820.41 - 6% = 771.1854
Step-by-step explanation:
Write the point slope form of the equation of the line through the given slope through (5,3) ,slope =-1/5
Answer:
y-3= -1/5(x-5)
Step-by-step explanation:
point slope form is --> y-y,=m(x-x,)
commas represent 1's.
so
-1/5= m
3=y,
5=x,
Answer:
[tex]y-3= -\frac{1}{5}(x-5)[/tex]
Step-by-step explanation:
Fill in what you know: ([tex]y=-\frac{1}{5}x+b[/tex])Solve for b with test point (5, 3): ([tex]3=-\frac{1}{5}*5+b[/tex])[tex]b=4[/tex]Convert to point-slope form: [tex]y-3= -\frac{1}{5}(x-5)[/tex]sara y su hermana alejandra, tienen que ir al mercado a comprar. saben que una sandía les cuesta q 10.00, un banano q 2.00, una manzana q 1.00, una docena de aguacates q 36.00. si su mamá les pide que compren: una sandía, una docena de bananos y 2 aguacates, ¿cuánto gastarán?
Answer:
40.00
Step-by-step explanation:
una sandia 10.00
un banano 2.00
un aguacate 3.00 (porque una docena equivale 12 artículos; 36/12 es 3)
una sandía 10.00
una docena de bananos 12(2.00) = 24.00
dos aguacates 2(3.00) = 6.00
10.00 +24.00 +6.00
=40.00
Please help:((((
I attached the image of the question