Answer:
y= (2x)+10
Step-by-step explanation:
if harry has an initial balance of $10 in his bank account, he will have something +10 for the initial 10.
If he adds $2 to his bank account every week, then the amount of money in his bank account (y) can be modeled by the equation
y = (2x)+10
where y represents how much money he has in his bank account and x represents the amount of weeks he is adding $2.
A café has 60 tables. 35% of the tables have 2 chairs at each table. The remaining 65% of the tables have 4 chairs at each table. How many tables have 4 chairs?
The number of tables with 4 chairs are 39.
We have a café which has 60 tables. 35% of the tables have 2 chairs at each table. The remaining 65% of the tables have 4 chairs at each table.
We have to determine the number of tables having 4 chairs.
What is 10% of 250 ?The 10% of 250 will be -
[tex]\frac{10}{100} \times 250[/tex] = 25
According to question, we have -
Percentage of tables with 2 chairs = 35%
Percentage of tables with 4 chairs = 65%
Total number of tables = 60
Therefore -
Number of tables with 2 chairs = [tex]\frac{35}{100} \times 60[/tex] = 21
Therefore, number of tables with 4 chairs will be = 60 - 21 = 39
Hence, the number of tables with 4 chairs are 39.
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There are 39 tables that have 4 chairs.
i.e. the number of tables with 4 chairs is: 39.
Here, we have to find the number of tables that have 4 chairs, we first need to calculate how many tables have 2 chairs, and then subtract that number from the total number of tables.
Given that 35% of the tables have 2 chairs, we can calculate the number of tables with 2 chairs as follows:
Number of tables with 2 chairs = 35% of 60 tables
Number of tables with 2 chairs = 0.35 * 60
Number of tables with 2 chairs = 21 tables
Now, to find the number of tables with 4 chairs:
Number of tables with 4 chairs = Total number of tables - Number of tables with 2 chairs
Number of tables with 4 chairs = 60 tables - 21 tables
Number of tables with 4 chairs = 39 tables
So, there are 39 tables that have 4 chairs.
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vnicn letter on the map indicates the location of the North China Plain?
AAA
o
О В
О С
OD
F
Answer:
The letter C
Step-by-step explanation:
North china plain runs along near the northern east border. It's territory has a noticeable river going through it, and is close to the Gulf of Jilin. A is most likely not correct, since North china plane doesn't go up that high the Yellow river. So it is safe to assume the answer is most likely C
3 1/3 of it is 10
I need help!
Not sure what your asking but i know from 3 1/3 of it is 10 means 3 1/3 equals 1/3rd of 10 but please tell me what your asking in the comment section ty
What is the approximate surface area of the sphere? Round to the nearest hundredth and use 3.14 for Pi. Recall the formula S A = 4 pi r squared. A sphere with a radius of 9. 113.04 square units 226.08 square units 1,017.36 square units 4,069.44 square units
Answer:
Step-by-step explanation:
A = 4πr² = 4π9² = 324π units²
324(3.14) = 1,017.36 units²
List the pairs of congruent angles and the extended proportion that relates the corresponding sides for the similar polygons.
Answer:
<N=<T
<P=<Q
<O=<R
<M=<S
Step-by-step explanation:
they are in order since (N) is the first letter in one triangle then (T) has to be the corresponding angle.
Which graph shows a function and it’s inverse?
Answer:
C. PO
Step-by-step explanation:
SURE PO AKO DYAN PA BRAINLEST PO
TAMA PO TALAGA YAN
prove the identity.
(1-sin^2x)tanx=cosxsinx
Note that each Statement must be based on a Rule
[tex](1-\sin^2 x) \tan x \\\\=\cos^2 x \cdot \dfrac{\sin x}{\cos x}\\\\=\cos x \sin x[/tex]
I NEED MORE HELP PLZZ
Answer:
1A: all real numbers
1B: x = {-3, 0, +18}
1C: (-3, 0) U [3, 18)
2A: h(x) = -1/160x^2 +1/2x
2B: focus: (40, -30); directrix: y = 50; axis of symmetry: x = 40
Step-by-step explanation:
1A:The graph is attached. The domain is all real numbers.
__
1B:The x-intercepts for x < 3 are the zeros of the quadratic:
x^3 -9x = 0
x(x^2 -9) = 0
x(x +3)(x -3) = 0 ⇒ x = 0, -3, +3 . . . . x=3 is not in the domain of this piece
The x-intercepts for x ≥ 3 are the zeros of the log function:
-log4(x -2) +2 = 0
log4(x -2) = 2 . . . . . . add log4(x -2)
x -2 = 4^2 . . . . . . . . . take the anti-log
x = 2 +16 = 18 . . . . . . add 2
The x-intercepts of g(x) are x = {-3, 0, +18}.
__
1C:The graph shows the function is positive on the intervals ...
(-3, 0) U [3, 18)
__
2A:The vertex of the curve is given as (40, 10). The vertical scale factor will make the function 0 at x=0.
h(x) = a(x -40)^2 +10
h(0) = 0 = a(-40)^2 +10 = 1600a +10
a = -10/1600 = -1/160 = -1/(4·40)
The equation of the parabola is ...
y = -1/(160)(x -40)^2 +10
In standard form, this is ...
y = -1/160x^2 +1/2x
__
2B:When we computed the leading coefficient (a) in Part A, we found it to be -1/(4·40). This corresponds to 1/(4p) where p=-40 is the focus to vertex distance. The negative sign means the focus is 40 units below the vertex, at (40, -30). The corresponding location of the directrix is 40 units above the vertex, at y=50.
Of course the axis of symmetry is the vertical line through the vertex: x = 40. These are shown in the second attachment.
Please help me solve this
Answer:
Solve what?
Step-by-step explanation:
You didn't put the question.
Third-degree, with zeros of -4, -2, and 1, and a y-intercept of -11.
[tex]\begin{cases} x = -4\implies &x+4=0\\ x=-2\implies &x+2=0\\ x=1\implies &x-1=0 \end{cases}\qquad \implies (x+4)(x+2)(x-1)=\stackrel{y}{0}[/tex]
now, that's the equation or polynomial in factored form, hmmm we also know that it has a y-intercept of -11, namely, when x = 0 y = -11, well let's plug in a factor to it, that will reflect those values, namely say hmmm factor "a", so
[tex](x+4)(x+2)(x-1)=y\qquad \stackrel{\textit{adding "a" factor for vertical shift}}{a(x+4)(x+2)(x-1)}=y \\\\\\ \stackrel{\textit{we know that when x = 0, y = -11}}{a(0+4)(0+2)(0-1)=-11}\implies -8a=-11\implies a=\cfrac{-11}{-8}\implies a = \cfrac{11}{8} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\mathbb{FOIL}}{\cfrac{11}{8}(x^2+6x+8)}(x-1)=y\implies \cfrac{11}{8}(x^3+6x^2+8x-x^2-6x-8)=y \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \cfrac{11}{8}(x^3+5x^2+2x-8)=y~\hfill[/tex]
The midpoint M of ST has coordinates (5, 5). Point T has coordinates (9,5). Find the
coordinates of point S.
Answer:
5,5
Step-by-step explanation:
plz help me to answer
Answer:
for 3, 4 or both?
4. is probably zero
Step-by-step explanation:
Wait is 4 a question?
[tex]cos^2 x + \cos^2 y = \cos(2x + 2y)\\\\\implies \dfrac{d}{dx} (\cos^2 x + \cos^2 y) = \dfrac{d}{dx} \cos(2x+2y)\\\\\implies -2\cos x \sin x -2 \cos y \sin y \dfrac{dy}{dx}=-\sin(2x+2y) \left(2+2\dfrac{dy}{dx} \right) \\\\\implies -2\cos x \sin x -2 \cos y \sin y \dfrac{dy}{dx}=-2\sin(2x+2y) -2\sin(2x+2y)\dfrac{dy}{dx} \right) \\\\\implies 2 \sin(2x+2y) \dfrac{dy}{dx} - 2 \cos y \sin y \dfrac{dy}{dx} = 2 \cos x \sin x-2\sin(2x+2y)[/tex]
[tex]\implies \sin(2x+2y) \dfrac{dy}{dx} - \cos y \sin y \dfrac{dy}{dx} = \cos x \sin x-\sin(2x+2y)\\\\\implies \dfrac{dy}{dx} [\sin(2x+2y) - \cos y \sin y] = \cos x \sin x-\sin(2x+2y)\\\\\implies \dfrac{dy}{dx} [\sin(2x+2y) - \cos y \sin y] = \cos x \sin x-\sin(2x+2y)\\\\\implies \dfrac{dy}{dx} = \dfrac{\cos x \sin x-\sin(2x+2y)}{\sin(2x+2y) - \cos y \sin y}\\\\\implies y'(x) = \dfrac{\cos x \sin x-\sin(2x+2y)}{\sin(2x+2y) - \cos y \sin y}[/tex]
the lcm of 5 and 8 is??
What is an equation of the line that passes through the points (5, 2) and (−5,−6)?
Write an equation of the line passes through (4,1) and is parallel to y=-2x+7 .
Answer:
y= -2x+9
Step-by-step explanation:
First of all, since they need to be parallel, they must have the same slope to never intercept. Next, you can use a graphing calculator to test y-intercepts like desmos. You will find that 9 works, as it goes through (4,1) and never intercepts with the 1st line.
16. Write an equation for the line that is parallel to the given line and passes through the given
(1 point)
point
y = 3x+7; (2, 10)
A. Y=3x + 11
B. y = 3x + 4
C. y=-3x+4
D. y=(-1/3)x+ 4
Answer:
Step-by-step explanation:
Parallel lines have identical slopes
y = 3x + b
add in the desired point
10 = 3(2) + b
b = 4
B. y = 3x + 4
I actually need help-
Step-by-step explanation:
The answer im just guessing but teachers like to do false false true true so sorry if im wrong
suppose Amaya wants to bake cookies that require 4.5 cups of flour for a recipe that makes 4 dozen cookies. how much flour would Amaya need to make 126 cookies?
Answer:
11.8125 cups of flour
Step-by-step explanation:
4 dozen = 48 cookies
126/48=2.625 batches of 48 cookies
2.625 x 4.5 = 11.8125 cups of flour
(y-5)+0=(y-5)
Identify the property
Answer:
Identity property of addition
Step-by-step explanation:
Quincy feeds his dog 2.75 cups of dog food each day. Each cup of dog food costs $1.25. He multiplies the numbers together to determine how much it costs to feed his dog each day. Which expression will result in the best estimate for Quincy to use to check his multiplication?
2 times 1
2 times 2
3 times 1
3 times 2
Answer:
3 times 1
Step-by-step explanation:
2.75 - 75 or in other words 7 is closer to 10 than 0, so well round it up to the next number, 3.
1.25 - 25 or in others words 2 is closer to 0 than 10, so we'll round it down to the nearest lowest whole number, 1.
our new expression: 3 × 1. hope that helps!
Which inequality does the graph represent?
Answer:
x < -y + 1
Step-by-step explanation:
Isaac bought 7 chicken wings for $12.60. How much does each wing cost?
Answer:
Each chicken wing costs $1.80.
Explanation:
To find the cost for each wings, you need to split the money by 7 which is: 12.60/ 7
this gives us:
1.80
135% as a fraction or a mixed number fully simplified please 50 POINTS + BRAINILEST
Answer:
27/20
Step-by-step explanation:
135% = 135/100 = (27/20 × 5) = 27/20 = 1 7/20 I think
The temperature is -8 degrees Fahrenheit. The height pressure front increases the temperature to 7 degrees Fahrenheit. By how many degrees did the temperature increase.
(Please show work and explanation)
Answer:
3 dregreess 5 degrees temperature
G(x)=4.8x -5
I needed help finding the slope
Answer:
Slope is 4.8
Step-by-step explanation:
[tex]{ \tt{G(x) = 4.8x - 5}} \\ [/tex]
Answer: The Answer is 4.8
Which of the following equations has only one solution? A. x^2 -8 x + 16 = 0 B. x(x - 1) = 8 C. x^2 = 16
[tex]\\\\\\x^2 -8x +16 = 0\\\\\implies x^2 - 2(4) + 4^2 =0\\\\\implies (x-4)^2 =0\\\\\implies x -4 =0\\\\\implies x =4\\\\\text{This equation has only one solution.}[/tex]
Triangle in space with vertices P= (1, 0, 0), Q = (0,1,0), R=(0, 0, 2), find angle at P P=
Answer:
71.6°
Step-by-step explanation:
The angle can be found from the dot product of PQ and PR.
PQ·PR = |PQ|×|PR|×cos(α)
where α is the angle between the two segments.
cos(α) = (Q -P)·(R -P)/(|Q -P|×|R -P|)
= ((0, 1, 0) -(1, 0, 0))·((0, 0, 2) -(1, 0, 0))/(|Q -P|×|R -P|)
= (-1, 1, 0)·(-1, 0, 2)/(√(((-1)² +1²)((-1²) +2²)) = (1+0+0)/√10
α = arccos(1/√10) ≈ 71.6°
The angle at P is about 71.6°.
_____
Additional comment
The side lengths of the triangle are √2, √5, √5. As we have seen, the angle at P is bounded by the sides of length √2 and √5. The law of cosines can also be used to arrive at the angle between these sides.
What is the value of xif e3x+6 - 8?
O x-
In 8-6
3
OX-
In 6-8
3
OX-
In 8+6
3
OX-
In 6+8
3
The value of x from the expression is [tex]\frac{ln8-8}{3}[/tex]
Given the exponential function [tex]e^{3x+8}=8[/tex]
Take the natural logarithm of both sides:
[tex]lne^{3x+8}=ln8\\3x +8=ln8[/tex]
Subtract 8 from both sides:
[tex]3x-8+8=ln8-8\\3x=ln8-8[/tex]
Divide both sides by 3:
[tex]\frac{3x}{3} =\frac{ln8-8}{3}\\x= \frac{ln8-8}{3}[/tex]
Hence the value of x from the expression is [tex]\frac{ln8-8}{3}[/tex]
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The factor that most heavily influences your credit score is
A. length of credit history
B. types of credit
C. amount owed
D. payment history
Answer:
D.payment history
Step-by-step explanation:
Find the height of the trapezoid.
7 m
Area = 51 m2
10 m