Answer:
Marcus needs to buy at least twice as many pounds of apples as pounds of bananas
Identify whether the relationship between ∠a and ∠b in the image below is complementary, linear pair/supplementary, adjacent, or vertical.
Answer:
a and b are examples of a vertical pair.
Step-by-step explanation:
Vertical pairs are equal to each other with the same degrees.
Choose the correct simplification of the expression 4 over y to the power of negative 3. 4y3 4 over y to the 3rd power y to the 3rd power over 4 This expression is already simplified.
Answer:
[tex] 4y^3 [/tex]
Step-by-step explanation:
[tex] \dfrac{4}{y^{-3}} = [/tex]
[tex] = 4 \times y^3 [/tex]
[tex] = 4y^3 [/tex]
Answer:
4y^3
Step-by-step explanation:
4. A build-your-pasta restaurant charges a flat fee of $2.50 for pasta and $0.75 per ingredient. How much
does the pasta cost for 4 ingredients?
y =
I
The pasta plate will cost $
Answer:
Step-by-step explanation:
The pasta plate will cost $ 5.5
y=4x+2.5 ( x is the number of ingredients)
$ 2.5+(4*0.75)= 5.5 dollars
How do you simplify 0.1m x [tex]2\pi[/tex]?
Answer:
0.2π m
Step-by-step explanation:
Assuming your "x" is a multiplication symbol, form the product of the numerical constants.
= 0.2mπ
If m represents units of meters, it can be placed last:
= 0.2π m
If you want an approximate value, use an appropriate approximation of π.
≈ 0.628319 m
The function C (g) represents the cost to produce g gallons of chocolate chunk ice . Interpret the meaning of the statement C (765=164. It cost to produce gallons of chocolate chunk ice?
Answer:
It cost $164 to produce 765 gallons of chocolate chunk ice
Step-by-step explanation:
The function C(g) represents the cost (C) to produce g gallons of chocolate chunk ice.
Given the statement:
C(765)=164
Comparing with C(g), we have that:
Cost, C = $164
Number of gallons of chocolate chunk ice. g=765
Therefore, the meaning of the given statement is:
It cost $164 to produce 765 gallons of chocolate chunk ice
It requires 350 joules to raise a certain amount of a substance from 10.0°C to 30.0°C. The specific heat of the substance is 1.2 J/g°C. What is the mass of the substance? 12 g 15 g 18 g 30 g
Answer:
15 g.
Step-by-step explanation:
The following data were obtained from the question:
Heat required (Q) = 350 J
Initial temperature (T1) = 10.0 °C
Final temperature (T2) = 30.0 °C
Specific heat capacity (C) = 1.2 J/g°C
Mass (M) =..?
Next, we shall determine the change in temperature.
This is illustrated below:
Initial temperature (T1) = 10.0 °C
Final temperature (T2) = 30.0 °C
Change in temperature (ΔT) =..?
Change in temperature (ΔT) = T2 – T1
Change in temperature (ΔT) = 30 – 10
Change in temperature (ΔT) = 20 °C
Finally, we shall determine the mass of the substance as follow:
Heat required (Q) = 350 J
Specific heat capacity (C) = 1.2 J/g°C
Change in temperature (ΔT) = 20 °C
Mass (M) =.?
Q = MCΔT
350 = M x 1.2 x 20
Divide both side by 1.2 x 20
M = 350 / (1.2 x 20)
M = 14.5 ≈ 15 g
Therefore, the mass of the substance is
15 g.
Answer:
15 g
Step-by-step explanation:
Please answer this question now in two minutes
Answer: z = 81
Step-by-step explanation:
TW is the midsegment of ΔSUV ⇒ UV = 2TW
Given: UV = z - 51, TW = z - 61
z - 51 = 2(z - 61)
z - 51 = 2z - 132
-51 = z - 132
81 = z
What is the The range of y = square root X-5 – 1
Answer:
[-1, infinity)
Step-by-step explanation:
I must assume that you meant y = √(x - 5) - 1.
The range of the square root function is [0, infinity.
If 1 is subtracted from the square root function, the range of the resulting function is [-1, infinity).
Answer:
B. y > = -1
Step-by-step explanation:
edge 2020
I need help . Plz...
Answer:
A. 2x⁴ - 11x³ + 7x² + 5x - 3
Step-by-step explanation:
Given (2x² - 3x + 1)(x² - 4x - 3)
Multiply both polynomials by distributing the terms 2x², -3x, 1, to every term you have in the second polynomial respectively.
Thus,
2x²(x² - 4x - 3) -3x(x² - 4x - 3) +1(x² - 4x - 3)
Open the parentheses by multiplying
2x⁴ - 8x³ - 6x² - 3x³ + 12x² + 9x + x² - 4x - 3
Pair like terms
2x⁴ - 8x³ - 3x³ - 6x² + 12x² + x² + 9x - 4x - 3
2x⁴ - 11x³ + 7x² + 5x - 3
The right answer is: A. 2x⁴ - 11x³ + 7x² + 5x - 3
PLZ HELP!!! 20 POINTS how many solutions does this system have? x minus 3 y = 4. Negative 2 x + 6 y = 3. one two an infinite number no solution
Answer:
No solutions.
Step-by-step explanation:
x minus 3y = 4
x - 3y = 4
2x - 6y = 8
negative 2x + 6y = 3
-2x + 6y = 3
2x - 6y = 8
-2x + 6y = 3
(2x - 2x) + (-6y + 6y) = 8 + 3
0 + 0 = 11
0 = 11
Since this statement is false, the system has no solutions.
Hope this helps!
The statement; 'x minus 3 y = 4. Negative 2 x + 6 y = 3 has no solution'
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Given system of equation;
x minus 3y = 4 means x - 3y = 4
2x - 6y = 8
negative 2x + 6y = 3 means -2x + 6y = 3
Solving;
2x - 6y = 8
-2x + 6y = 3
(2x - 2x) + (-6y + 6y) = 8 + 3
0 + 0 = 11
0 = 11
Since this statement is false, the system has no solutions.
Learn more about equations here;
https://brainly.com/question/10413253
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The sum of the digits of a two-digit number is 5. If nine is subtracted from the number, the digits will be reversed. Find the number. the answer to that is 32. If you replace the tens digit with x, then what will the equation be?
Answer: 32
Step-by-step explanation:
Let x + y = 5
x = 5 - y....................(1)
10x + y -9 = 10y + x..... . (2)
Substituting (1) in (2)
10(5-y) + y - 9 = 10y + (5-y)
50-10y + y - 9 = 10y + 5 - y
41 - 9y = 9y + 5
-9y - 9y = 5-41
-18y = - 36
y = 36/2 = 2
So, x = 5-2 = 3
Hellppppppplpp pleaseee
Answer:
The answer is 3.
Step-by-step explanation:
In order to get 5 as the denominator, you would divide 25 by 5. Hence, you would do the same to the numerator. 15 divided by 5 equals three.
Hope this helps! Stay safe! So cool that you live in the UK!
xx gloriouspurpose xx
p.s. from america lol
A. True
B. False
Plz answer
Answer:
TRUEStep-by-step explanation:
≅ mens the triangles are congruent (the same arcs and the same sides in both). Basicaly it means they are the same exept its positon (can be mirrored or rotated)
So if ΔDEF is the same as ΔABC and the same as ΔMNO that maens ΔMNO must be the same as ΔABC
{ΔABC≅ΔDEF and ΔDEF≅ΔMNO} ⇒ ΔABC≅ΔMNO
And if ΔMNO is the same as ΔABC and the same as ΔPQR that maens ΔPQR must be the same as ΔABC
{ΔABC≅ΔMNO and ΔMNO≅ΔPQR} ⇒ ΔABC≅ΔPQR
An infinite series is represented by:
A group of individuals containingbboys andggirls is lined up in random order;that is, each of the (b+g)! permutations is assumed equally likely. What is theprobability that the person in theith position, 1≤i≤b+g, is a girl?
Answer:
g/(b+ g)
Step-by-step explanation:
I have attached the solution below.
.................................
Answer:
c
Step-by-step explanation:
Using the sine ratio in the right triangle
sin q = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{13}{15}[/tex] , thus
∠ q = [tex]sin^{-1}[/tex] ([tex]\frac{13}{15}[/tex] ) = 60° → c
Anyone know the answer ?
Answer:
102
Step-by-step explanation:
We can find x by using the fact that the angles in a triangle add up to 180.
73+42+x=180
x = 65
We can find y by using the fact that angles on a straight line add up to 180.
131+y=180
y=49
We can find the third angle in that triangle.
65+49+n=180
Let n represent the third angle in the triangle.
n=66
Then z + n = 180
z + 66 =180
z= 144
Let the angle in the bottom left be i
z+i = 180
144 + i = 180
i = 36
Let's find l.
The angles in a triangle add up to 180.
36 + 49 + l =180
l = 95
y is a vertical angle.
95+ y + u = 180
95+49+u=180
u=36
180-36=144
then the right triangle (with angle of 42) has a corner of 36.
36+42+t = 180
t= 102
102 + f = 180
f = 78
f + w = 180
78 + w = 180
w = 102
If the measurement of angle 3 equals 48 degrees, then what is the measure of angle 1?
Answer:
Step-by-step explanation:
Based on the fact that it is congruent, it is also 48 degrees.
Answer:
48 degrees
Step-by-step explanation:
The line GE is parallel to line SF because of the marks on those lines.
If you look closely than you can see that angle 3 and 1 are the same.
So if angle 3= angle 1 then angle one is 48 degrees.
Hope this makes sense! If not put ask a question in the comments!
I can't quite figure out what ( 7- 4n ) x 6 is with distributive property.
Answer:
(42-24n)
Step-by-step explanation:
(7-4n)×6
take the 6 and multiply it to the integers in the paraenthesis.
so you take the ouside number which is 6 and multiply it with the first number which is 7 in the paraenthesis.
6×7=42
(42-4n)
then take the next number 4n and multiply by 6
4n × 6 = 24n
finally put it all together
(42-24n)
sorry if that didnt help
help me quickly please!
what is the area of the shaded region? (25pi-48)cm^2 (25pi-30)cm^2 (25pi-24)cm^2
(25pi-12) cm^2
Answer:
25pi-24 cm²
Step-by-step explanation:
pi(5)²-2(1/2)*6*4
25pi-24 cm²
The area of the shaded region is (25π - 24) sq.cm.
What is area of circle?"[tex]A = \pi \times r^2[/tex], where 'r' is the radius of the circle."
What is the area of the triangle?"[tex]A=\frac{1}{2}\times b\times h[/tex], where b is the base and h is the height."
What is an isosceles triangle?"It is a triangle that has any two sides equal in length.""The angles opposite to equal sides are equal in measure.For given question,
area of the shaded region = area of circle - area of 2 isosceles triangles
First we find the area of the circle:
Here, radius r = 5 cm
So, the area of the circle would be,
[tex]A=\pi\times r^2\\\\A=\pi \times 5^2\\\\A=25\pi~cm^2[/tex]
Now, for isosceles triangle,
base b = 6 cm
And height h = 5 - 1
h = 4 cm
Using the formula for area of the triangle,
[tex]A=\frac{1}{2}\times b\times h\\\\ A=\frac{1}{2}\times 6\times 4\\\\ A=12~cm^2[/tex]
So, the area of the shaded region would be,
the area of the shaded region
[tex]= 25\pi - (2 \times 12)\\\\= 25\pi - 24 ~sq.cm.[/tex]
Therefore, the area of the shaded region is (25π - 24) sq.cm.
Learn more about the area of the shaded region here:
https://brainly.com/question/20162990
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Using the geometric mean and Pythagorean theorem, calculate the values of the missing sides. Round your answers to the thousandths place (3 decimal places).
Answer:
a = 9.849
b = 20.25
c = 491.03
Step-by-step explanation:
By using Pythagoras theorem in the right triangle BDC,
(Hypotenuse)² = (Leg 1)² + (Leg 2)²
BC² = BD² + DC²
a² = 9² + 4²
a = [tex]\sqrt{(81+16)}[/tex]
a = [tex]\sqrt{97}[/tex]
a = 9.8489
a ≈ 9.849 units
By mean proportional theorem,
[tex]\frac{\text{DC}}{\text{BD}}=\frac{\text{BD}}{\text{AD}}[/tex]
AD × DC = BD²
b × 4 = 9²
b = [tex]\frac{81}{4}[/tex]
b = 20.25 units
BY Pythagoras theorem in ΔADB,
AB² = AD² + BD²
c² = b² + 9²
c² = (20.25)² + 9²
c² = 410.0625 + 81
c = 491.0625
c = 491. 063 units
Use the substitution method to solve the system of equations. Choose the
correct ordered pair.
x + 3y = 9
y = x-5
A. (6,3)
B. (3,-2)
C. (1,-5).
D. (6,1)
Answer:
D (6,1)
Step-by-step explanation:
[tex]x + 3y = 9[/tex]
[tex]y = x-5[/tex]
When [tex]y = x-5[/tex], it means we don't need to move the variables to the left side and right side. We can use [tex]y = x-5[/tex] to substitute into the first equation [tex]x + 3y = 9[/tex] directly.
[tex]x + 3y = 9[/tex]
[tex]x+3(x-5)=9[/tex]
[tex]x+3x-15=9[/tex]
[tex]4x=9+15[/tex]
[tex]4x=24[/tex]
[tex]x=6[/tex]
When x=6, we can substitute the value of x into any equation whatever you want. You can choose [tex]x + 3y = 9[/tex] or [tex]y = x-5[/tex]. I choose [tex]y = x-5[/tex] is easier to get the value of y.
When x=6, substitute into [tex]y = x-5[/tex]
[tex]y=6-5[/tex]
[tex]y=1[/tex]
Hooray, now you have the value of x and y which are x=6 and y=1.
I hope you will understand the answer.
You can ask any question here if you still cannot get the point. Don't be shy.
Answer:
d (6,1)
Step-by-step explanation:
a pex
Find the angles of the triangle if they
are
proportional to the following:
1, 2, 3
Answer:
The angles of this would be x=30
Step-by-step explanation:
If they are proportional to 1:2:3, then we can do 2 things.
They are just cong. ratios. This means that we can have a variable x to the 1,2 and 3.
Second, the angles of an triangle equal 180.
Adding 1 + 2 =
1x + 2x + 3x = 180
6x = 180
x = 30
Now the largest angle would be 3x. Thus 3*30 = 90. You have a right triangle.
d. An effort of 10 N is applied to lift a load of 50 N. If the effort arm
is 10 cm, calculate the load arm, input work and output work
[Ans: 2 cm, 100 Nm, 100 Nm)
Answer:
Output work = 1Nm
Input work = 1Nm
Load arm = 0.02m
Step-by-step explanation:
Given the following :
Effort applied = 10N
Load = 50N
Effort distance = 10cm = 10/100 = 0.1m
Calculate : the load arm, input work and output work
Input work = Effort × distance moved by effort
Input work = 10N × (0.1)m = 1J
B) Load arm or load distance :
Mechanical advantage (MA) = load / effort
MA = 50 / 10
MA = 5
MA = input distance / output distance
5 = 0.1 / load arm
load arm = 0.1 / 5
load arm = 0.02m
C.) Output work :
Load × load distance
50N × 0.02
Output work = 1J
Evaluate the expression. 42−3⋅4+7 Enter your answer in the box.
Answer:
23
Step-by-step explanation:
Here we will use BODMAS
42 - 3⋅4 + 7
42 - 12 + 7
42 - 19 = 23
Answer:
Answer is 11
Step-by-step explanation:
I took the quiz
9 A skier travelling in a straight line up a hill experiences a constant deceleration.
At the bottom of the hill, the skier has a speed of 16ms- and, after moving up
the hill for 40 s, he comes to rest. Find:
a the deceleration of the skier
b the distance from the bottom of the hill to the point where the skier comes to rest.
Answer:
a) deceleration = 0.4 m/s^2
b) distance = 320m
Step-by-step explanation:
a)
using formula a = (v-u)/t,
acceleration a = unknown (deceleration is the negative of acceleration)
final velocity v = 0 m/s (rest)
initial velocity u = 16 m/s
time t= 40s.
a = (0-16)/40
a = -0.4
Hence deceleration = 0.4 m/s^2
b)
Use formula v²-u² = 2as
distance s = unknown
0²+16² = 2(-0.4)(s)
s = 320m
x+3y = — 15
slove linear system graphically
Answer:
x=−3y−15
Step-by-step explanation:
Let's solve for x.
x+3y=−15
Step 1: Add -3y to both sides.
x+3y+−3y=−15+−3y
x=−3y−15
Answer:
x=−3y−15
Find the area of the shaded regions
Answer:
c
Step-by-step explanation:
What are the ordered pairs of the
solutions for this system of equations?
f(x) = x2 – 2x + 3; f(x) = -x + 5
(2, [?]); ([ ], [])
Answer:
The two points solutions to the system of equations are: (2, 3) and (-1,6)
Step-by-step explanation:
These system of equations consists of a parabola and a line. We need to find the points at which they intersect:
[tex]x^2-2x+3=-x+5\\x^2-2x+x+3-5=0\\x^2-x-2=0\\(x-2)(x+1)=0[/tex]
Since we were able to factor out the quadratic expression, we can say that the x-values solution of the system are:
x = 2 and x = -1
Now, the associated y values we can get using either of the original equations for the system. We pick to use the linear equation for example:
when x = 2 then [tex]y=-(2)+5=3[/tex]
when x= -1 then [tex]y=-(-1)+5=6[/tex]
Then the two points solutions to the system of equations are: (2, 3) and (-1,6)
Which is a perfect square ?
the product of a rational number multiplied by itself.