Answer:
Step-by-step explanation:
The direct proportion equation is y = kx which reads, "y is directly proportional to x". k is the constant of proportionality. In our case, we read this is as, "the number of calories is directly proportional to the number of apples eaten." Our equation would look like c = ka. We first are given that a = 4 and = 380. We will use that to solve for k:
380 = k4 so
k = 95. Now that know the value of k, we will use that along with the number of calories (1045) to find the number of apples, a:
1045 = 95a so
a = 11
This means that it will be 11 apples that contain 1045 calories.
what is the value of y?
Answer:
y +43⁰ +123⁰ =180⁰
=) y +160⁰ =180⁰
=) y = 20⁰
Answer:
Y = 34
Step-by-step explanation:
y + 43 + 123 = 180
y + 146 = 180
180 - 146. = y = 34
Y = 34
Please help me to solve the question!
Answer: (x - 3)² + (y + 0.5)² = 3.25 → [tex](x-3)^2+\bigg(y+\dfrac{1}{2}\bigg)^2=\dfrac{13}{4}[/tex]
Step-by-step explanation:
Concentric means they have the same center but different radii.
The equation of a circle is: (x - h)² + (y - k)² = r² where
(h, k) is the center of the circler is the radius of the circleComplete the square to find the center of the circle
x² - 6x + _____ + y² + y + _____ = 1 + ____ + ____
↓ ↓
-6/2 = -3 1/2 = 1/2
Equation: (x - 3)² + (y + 1/2)² = r²
Since the circle passes through point (x, y) = (4, -2), input that into the equation to find r².
(x - 3)² + (y + 1/2)² = r²
(4 - 3)² + (-2 + 1/2)² = r²
(1)² + (-3/2)² = r²
1 + 9/4 = r²
13/4 = r²
Equation: (x - 3)² + (y + 1/2)² = 13/4 → [tex](x-3)^2+\bigg(y-\dfrac{1}{2}\bigg)^2=\dfrac{13}{4}[/tex]
In decimal form: (x - 3)² + (y + 0.5)² = 3.25
Find the value for k. then find the angle of the triangle
Answer:
Answer:
k=135
Step-by-step explanation:
180=45+k
-45 -45
_________
135=k
June charges $27.95 per oil change and $9.50 per tune up each week he does 40 oil changes and 15 tune ups . how much money did June make in a week?
Abraham purchased a living room set for $3,742 using an 18-month deferred payment plan with an interest rate of 18.79%. What is the balance after the deferment period if no payments are made?
a.) $4,844.77
b.) $4,949.50
c.) $3,742.00
d.) $4,445.12
What is the answer to X(x+7)
Answer:
[tex] \boxed{ \bold{ \boxed {\huge{ \sf{ {x}^{2} + 7x}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{x(x + 7)}[/tex]
Distribute x through the parentheses
[tex] \dashrightarrow{ \sf{x \times x + x \times 7}}[/tex]
[tex] \dashrightarrow{ \boxed{ \sf{ {x}^{2} + 7x}}}[/tex]
Hope I helped!
Best regards! :D
A scale factor of 3 was applied to this figure. What would be the new length of the height and width of the triangle?
Answer:
height: 9 units
width: 9 units
Step-by-step explanation:
!!50 POINTS!!
What are the measures of
Step-by-step explanation:
It A because Acute is smaller then Obtuse that what I look at
Answer:
It A
Step-by-step explanation:
Can I please get brainliest?
inverse sin of 13/7?
Answer:
0.03213586
Step-by-step explanation:
scientist measured water pressures of different depths she measured the table showing her findings the X values represents the deepest death matters the Y value represents the pressure in atmospheres
Answer:10,2
Step-by-step explanation:
Answer:
the answer you are looking for is A
Step-by-step explanation:
Determine whether the equation is always, sometimes, or never true. 6(x + 1) = 2(5 + 3x)
Answer:
never true
Step-by-step explanation:
6(x + 1) = 2(5 + 3x)
distribute
6x + 6 = 10 + 6x
combine like terms by subtracting 6x and 6 from both sides
0 = 4
that is not a true statement, so this equation is never true
Enter the equation of the line in slope-intercept form. Slope is 4, and (3,4) is on the line. The equation of the line is y=
Answer:
y= 4x - 8
Step-by-step explanation:
hope this helps :)
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How many solutions does the following equation have?
3z + 9 + 142 = 4z + 5
Choose 1 answer:
A.No solutions
B.Exactly one solution
C.Infinitely many solutions
Answer:
Step-by-step explanation:
3z + 9 + 142 = 4z + 5
3z + 151 = 4z + 5
-z + 151 = 5
-z = -146
z = 146
answer is B
exactly one solution
Archbridge Bus Company have a very small road on the exit of their bus garage. This means they need to be aware of when this road will be used by multiple buses. The 157 bus leaves every 33 minutes. The 183 bus leaves every 6 minutes. All buses start service at 9:00. Apart from when the buses leave at 9:00, at what time will both be leaving the garage at the same time?
yesterday jack drove 33 1/2 miles. He used 1 1/4 gallons of gasloine
. an 8 degree rise in temperature
That's increased level of warming
Find the square root of 784 using prime factorization.
Answer:
first check the smallest number that divide 784
i.e 2
784/2 = 392/2= 196/2 =98/2 =49/7=7
we get
748= 2*2*2*2*7*7
for square root take one out of 2 same number
square root of 784= 2*2*7 = 28
Answer:
28
Step-by-step explanation:
784=2×2×2×2×7×7⇒784 =2×2×7=28
3/4 + (-2 1/2) on a number line.. select the location on the number line to plot the sum.. HURRYYYYY
Answer:
the answer is -1 3/4
Step-by-step explanation:
Find the coordinates of the midpoint of the segment with endpoints (-8,5) and (4, -3)
Answer:
[tex]MP= (-2,1 )[/tex]
Step-by-step explanation:
[tex]MP= (\frac{x_1+x_2}{2} )(\frac{y_1+y_2}{2} )\\MP= (\frac{-8+4}{2} )(\frac{5+-3}{2} )\\MP= (\frac{-4}{2} )(\frac{2}{2} )\\MP= (-2,1 )[/tex]
i don't get it (solve)
I not sure how to find the value of the letters
Answer:
a = 31°
b = 66°
Step-by-step explanation:
Reason for the answer to a:
It is an alternate angle. So, a = 31°.
Reason for the answer to b:
It is also an alternate angle. So, b = 35° + 31° = 66°.
What is the answer to -4x = 12
Steps to solve:
-4x = 12
~Divide -4 to both sides
x = -3
Best of Luck!
Answer:
x=-3
Step-by-step explanation:
-x=12/4
-x=3
×=-3
20 points!!!! please help fast!!!!
Answer:
0 m/s
Step-by-step explanation:
The line is flat so there is no movement
Answer:
b
Step-by-step explanation:
on this graph a horizantal line means no speed because there is no change in distance
someone.. anyone ? and tell me if the answer is 7: 13 because I'm guessing it is either 7:13 or 7:20
Answer:
The ratio is 7:13
Step-by-step explanation:
is -3.16227766017 a rational or irrational number?
Answer:
rational
Step-by-step explanation:
If the given decimals are all there is, then you can express this number as a ratio (=fraction), i.e.,:
[tex]\frac{-316227766017}{100000000000}[/tex]
Which statement describes the inverse of m(x) = x2 – 17x?
Answer:
The correct option is;
[tex]The \ domain \ restriction \ x \geq \dfrac{17}{2} \ results \ in \ m^{-1}(x) = \dfrac{17}{2} \pm \sqrt{x + \dfrac{289}{4} }}[/tex]
Step-by-step explanation:
The given information is that m(x) = x² - 17·x
The above equation can be written in the form;
y = x² - 17·x
Therefore;
0 = x² - 17·x - y
From the general solution of a quadratic equation, 0 = a·x² + b·x + c we have;
[tex]x = \dfrac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}[/tex]
By comparison to the equation,0 = x² - 17·x - y, we have;
a = 1, b = -17, and c = -y
Substituting the values of a, b and c into the formula for the general solution of a quadratic equation, we have;
[tex]x = \dfrac{-(-17)\pm \sqrt{(-17)^{2}-4\times (1) \times (-y)}}{2\times (1)} = \dfrac{17\pm \sqrt{289+4\cdot y}}{2}[/tex]
Which can be simplified as follows;
[tex]x = \dfrac{17\pm \sqrt{289+4\cdot y}}{2}= \dfrac{17}{2} \pm \dfrac{1}{2} \times \sqrt{289+4\cdot y}} = \dfrac{17}{2} \pm \sqrt{\dfrac{289}{4} +\dfrac{4\cdot y}{4} }}[/tex]
And further simplified as follows;
[tex]x = \dfrac{17}{2} \pm \sqrt{\dfrac{289}{4} +y }} = \dfrac{17}{2} \pm \sqrt{y + \dfrac{289}{4} }}[/tex]
Interchanging x and y in the function of the inverse, m⁻¹(x), we have;
[tex]m^{-1}(x) = \dfrac{17}{2} \pm \sqrt{x + \dfrac{289}{4} }}[/tex]
We note that the maximum or minimum point of the function, m(x) = x² - 17·x found by differentiating the function and equating the result to zero, gives;
m'(x) = 2·x - 17 = 0
x = 17/2
Similarly, the second derivative is taken to determine if the given point is a maximum or minimum point as follows;
m''(x) = 2 > 0, therefore, the point is a minimum point on the graph
Therefore, as x increases past the minimum point of 17/2, m⁻¹(x) increases to give;
[tex]The \ domain \ restriction \ x \geq \dfrac{17}{2} \ results \ in \ m^{-1}(x) = \dfrac{17}{2} \pm \sqrt{x + \dfrac{289}{4} }}[/tex] to increase m⁻¹(x) above the minimum.
Answer:
b
Step-by-step explanation:
edge 2021
A letter in the word ACCEL is chosen. What is the theoretical probability of choosing a C?
Answer:
there are 5 letters in all and 2 c's.. 2/5 2 out of every 5 times
Simplify the expression. 40 – 2 • 3²
Can someone plz help with both of these
Answer:
Domain: (-5<x<-2) (1<x≤3]
Range: (-3<x<4) [-1≤x<2)
Step-by-step explanation:
(Explained another post by same asker)
(also this isnt interval notation, you would remove the <,≤, and x from it and keep the parenthesis and brackets were I put there were)