Answer:
$113
Step-by-step explanation:
Since he had $13 and now he is $100 in debt:
First, he withdrew $13 to get $0 in his bank account.
He then withdrew $100 to get -$100 in his bank account.
13 + 100 = 113
Answer:
Timmy withdrew $113
Step-by-step explanation:
The following equation represents that situation:
$13 - m = -$100
Adding m to both sides, we get:
$13 = m - $100
Combining like thers, we get m = $113
Timmy withdrew $113
Identify an equation in standard form for an ellipse with its center at the origin, a vertex at (0, 11), and a co-vertex at (4, 0). HELP ASAP
Answer:
Step-by-step explanation:
If you plot those points on a coordinate plane, you'll see that the distance from the origin up the y-axis to the point is greater than is the distance from the origin down the x-axis to the other point. That means 3 things to us: 1. the greater distance is a and the shorter is b; 2. the point (0, 11) is the vertex while the point (4, 0) is the co-vertex; and 3. this is a vertically stretched ellipse. A vertically stretched ellipse has an equation
[tex]\frac{(x-h)^2}{b^2} +\frac{(y-k)^2}{a^2} =1[/tex] where h and k are the coordinates of the center, a is the greater distance (between the center and the vertex), and b is the smaller distance (between the center and the co-vertex). Here's what we have then thus far:
h = 0
k = 0
a = 11
b = 4
Filling in our equation then looks like this:
[tex]\frac{(x-0)^2}{4^2} +\frac{(y-0)^2}{11^2} =1[/tex] and simplifying:
[tex]\frac{x^2}{16} +\frac{y^2}{121} =1[/tex]. It appears that the last answer is the one you want, although when I teach this to my precalc students, I do not encourage them to move the x and y terms around as that answer appears to have done. But addition is also commutative so I'm sure it's acceptable (I just think it looks strange that way).
The equation of ellipse is [tex]\dfrac{y^2}{121}+\dfrac{x^2}{16}=1[/tex] option D is correct.
Important information:
The center of the ellipse is the origin.Vertex at (0,11).Co-vertex at (4,0)Ellipse:The standard form of an ellipse is:
[tex]\dfrac{x^2}{b^2}+\dfrac{y^2}{a^2}=1[/tex]
Where, [tex](0,a)[/tex] is vertex and [tex](0,b)[/tex] is vertex.
Substitute [tex]a=11,b=4[/tex] in the above equation.
[tex]\dfrac{x^2}{(4)^2}+\dfrac{y^2}{(11)^2}=1[/tex]
[tex]\dfrac{x^2}{16}+\dfrac{y^2}{121}=1[/tex]
[tex]\dfrac{y^2}{121}+\dfrac{x^2}{16}=1[/tex]
Therefore, the correct option is D.
Find out more about 'Ellipse' here:
https://brainly.com/question/1548816
Which is the equation of a line that passes through the point (3, 2) and is parallel to the line in the graph?
Answer:
y = 3x/2 − 5/2
Step-by-step explanation:
Which inequality is represented by the graph below?
Answer:
y ≤ -1/5x +1
Step-by-step explanation:
The line had an incline of -1/5 and the intersect with the y-axis is 1, so the line is given by
y = -1/5x +1
The indicated area in graph is below the line, so now you have enough to get the right inequality:
y ≤ -1/5x +1
The coordinates of the vertices of a polygon are shown below. D(–4, 5), E(–1, 5), F(1, 2), and G(–1, –1) What type of polygon is this figure? heptagon hexagon octagon quadrilateral
Step-by-step explanation:
Since the polygon has four vertices (D,E,F and G), it is a quadrilateral (4 vertices).
Answer:quadrilateral
Step-by-step explanation:
It has four points, so it has four sides which makes it a quadrilateral.
POSSIBLE EQUATIONS
GRAPHS
1.) Equation:
2.) Equation:
A. y=-x+6
B. y=x+4
c. y=** +2
3.) Equation:
4.) Equation:
D. y=-x +4
E. y=[x+41-2
F. y=x-1
5.) Equation:
6.) Equation:
G. y=(x-2) – 6
H. y=6+ V2
1. y=[x+5|
7.) Equation:
8.) Equation:
J. y=x" – 8
K. y=x*-7
L. y = |x-3) - 4
Answer:
c, d, g, k
Step-by-step explanation:
in that order
What else would need to be congruent to show that triangle ABC cong Triangle XYX by ASA?
Explanation:
AC = XZ shows that the horizontal pieces are congruent. This is the "S" of "ASA" as it stands for the pair of congruent sides. We are also given angle A = angle X. This is one of the "A"s in "ASA" as it stands for pair of congruent angles.
What we're missing is the other pair of angles. We must pick C and Z because they help sandwich the two sides mentioned above. ASA has the two angles surrounding the sides; or the sides are between the angles. We can't pick B and Y, unless we were doing AAS which is a similar related idea. The order matters when it comes to ASA and AAS. However, AAS is the same as SAA.
Answer:
AC=XZ
so the correct answer is D
Relatively few (7.6%) high school students said that they rarely or never wore a seat belt, whereas 41.4% reported having texted or emailed while driving during the 30 days prior to taking the survey. What factors might account for this significant discrepancy, especially since texting while driving is arguably much riskier than not wearing a seat belt?
Answer:
Check Explanation
Step-by-step explanation:
The amygdala is the brain's emotional center. It is responsible for instinctual thinking and impulse control. It develops during early teenage years and this means the amygdala is not developed to the optimal level during teenage years. This makes teenagers very prone to impulsive behavior.
Also, the prefrontal cortex which is responsible for decision-making skills and the ability to measure risks is not fully developed in the teenage child stage. This is why teenagers make poor decisions and aren't great at measuring risks thereby making riskier choices like using the phone while driving.
These two brain components are fully developed in adults hence, it is less likely for adults to make poor decisions like texting while driving, which is a riskier thing to do than not using a seatbelt.
Again, teenagers have this invincibility feeling where they feel like they are more active and can react faster to road dangers. This deceives them into making such riskier decisions.
The current world also has turned into something else where people (teenagers especially) strive to get the most current news information as they are happening. The need to stay connected to social media is another reason why teenagers can't stay off their phones.
Finally, the fact that public intervention programs and ad campaigns promoting seat-belt use way more than not using cell-phones use while driving also mean more people are more conscious about using seatbelts while driving than not using their cellphones. In recent times, the campaigns, laws and bans on use of phones while driving are just gaining prominence.
In conclusion, the combination of all these factors/reasons is why the percentage of teenage high school students who use phones while driving is way more than the percentage that don't use a seatbelt although texting while driving is arguably much riskier than not wearing a seat belt.
Hope this Helps!!!
The lengths of the sides of a triangle are in the ratio 3:4:5. Find the lengths of the sides of this triangle if its perimeter is 96 cm.
Answer: 16 one side 32 second side 48 third side
Step-by-step explanation:
16;32;48
3;4;5
Answer:
24, 32, 40
Step-by-step explanation:
We know that the ratio of the sides is 3:4:5, and that total is 96.
First I tested out some numbers by multiplying them by 3, 4, and 5
Eventually I got to 8;
8×3:8×4:8×5 --> 24:32:40 --> 3:4:5
24+32+40=96
Meaning, the sides were 24, 32, and 40
Hope this helps, and good luck!
what's the answer to
1067×6740
Answer:
(1067)(6740)
=7191580
Step-by-step explanation:
I hope this help you :)
If you need another thing just let me know.
The ratio of stories to magazines is 4 to 3, if there are 28 stories, how many magazines are there?
How many magazines are there?
12 magazine.
Step by step explanation:
The ratio of stories to magazines is 4 to 3, if there are 28 stories, how many magazines are there?
Story: c
Magazine: r
C / R
C = 4K
R = 3k
4K + 3k = 28
7k = 28
K = 7/28
K = 4
Substituting:
C = 4X4 = 16
R = 3x4 = 12
Ratio of stories to magazines: 4:3
There are 28 stories, so that would mean we would have to divide 28 by 4 to get the common rate.
28/4 = 7
So, now we can substitute it to solve the amount of magazines.
4 x 7 = 28
3 x 7 = 21
Thus, there are 21 magazine and the non-simplified ration of stories to magazines is 28:21.
I’m confused can ya help me
Answer:
C & D
Step-by-step explanation:
x² + 3x - 3 = 0
a = co efficient of x² = 1
b= co efficient of x = 3
c = constant = -3
roots = (-b ± [tex]\sqrt{b-4ac}[/tex])/2a
= (-3±[tex]\sqrt{3^{2}-4*1*[-3]}[/tex] )/2*1
= (-3±[tex]\sqrt{9+12}[/tex])/2
= (-3±√21)/2
[tex]x = \frac{-3+\sqrt{21}}{2} ; x =\frac{-3-\sqrt{21}}{2}[/tex]
The volume of a cuboid is 270cm3. The length is 6cm and the width is 5cm. Work out the height of the cuboid.
find the value of the polynomial 5 x minus 4x square i) x=0
Answer:
If x = 0, then the value of the polynomial = 0
Step-by-step explanation:
Given that ;
F(x ) = 5x - 4x^2
Substituting 0 for x we have;
F(0) = 5(0) -4(0)^2 = 0 + 0 = p
Parallel to the line y= -2x + 4 and passes through point A(2, 4)
============================================================
Explanation:
Parallel lines have equal slopes, but different y intercepts. The given line y = -2x+4 has a slope of -2. Any line parallel to this will also have a slope of -2.
So m = -2
The unknown line goes through the point (x,y) = (2,4). Which means x = 2 and y = 4 pair up together.
Plug m = -2, x = 2, y = 4 into y = mx+b and solve for b
y = mx+b
4 = -2(2)+b
4 = -4+b
4+4 = b ... adding 4 to both sides
8 = b
b = 8
Since m = -2 and b = 8, we go from y = mx+b to y = -2x+8
--------------
Side note: the y intercept of the original equation is 4 while the y intercept of the new equation is 8
Answer:
y=-2x+8
Step-by-step explanation:
y= -2x + 4 and passes through point A(2, 4)
if a line is parallel then the two lines have the same slope
since the line passes through A(2,4) then
y=-2x+b find b
4=-2(2)+b
b=4+4=8
b=8
y=-2x+8
What is the area of the polygon below?
Answer:
28cm^2
Step-by-step explanation:
I find the area of the shape, simply add the square engulfed within it
I was able to find 28! So 28cm^2
Hope this helps
Answer: 28.5 square units
Step-by-step explanation: Count the whole squares in the figure then figure the areas of the triangular areas around the sides. Whole squares 3+5+5+5 = 18
Left side: 5/2 = 2.5
Top (2)( 3/2) = 3
Right: 4/2= 2
Bottom 6/2 = 3
Sum of triangular areas: 10.5
Add squares and triangles:
18+10.5= 28.5
It may be possible to compute the area by using the Pythagorean Theorem to get the lengths of the bases and height, but that's a bit more complicated!
What is the solution to the inequality below?
2 - 2x > -20
A. x<11
B. X<9
C. x> 12
D. x<10
Answer:
x < 11
Step-by-step explanation:
2 - 2x > -20
Subtract 2 from each side
2-2 - 2x > -20-2
-2x > -22
Divide by -2 remembering to flip the inequality
-2x/-2 < -22/-2
x < 11
Evan is making a table that will be created in the shape of the figure below. The table top is a triangle attached to a rectangle. To purchase the right amount of paint, he needs to know the area of the table top. He can only spend $10 on paint, which is enough to cover 150 ft2 of surface area. What is the maximum length of the base of the rectangle he can build? (3 points)
An image of a compound shape made up of a rectangle and a triangle is shown. The length of the rectangle is labeled x and the width is labeled 6 feet. The base of the triangle is labeled 4 feet and the height is labeled 6 feet.
Answer:
23 ft
Step-by-step explanation:
The surface area is known to be 150 square feet. Given the dimensions of this triangle ( 6 feet by 4 feet ) we can determine it's area, therefore calculating the area of this rectangle by subtracting the area of the triangle from the total surface area ( 150 square feet ). The amount of money on paint was there to mislead you, however it gave us the key point of being able to cover a maximum surface area of 150 square feet.
Surface Area = 150 ft²,
Area of Triangle = ( 6 [tex]*[/tex] 4 ) / 2 = ( 24 ) / 2 = 12 ft²,
Area of Rectangle = Surface Area - Area of Triangle = 150 ft² - 12 ft²
= 138 ft²
Let x = length of the rectangle
138 ft² = x [tex]*[/tex] 6 ft,
x = 138 ft² / 6 ft = 23 ft - this is the maximum length of the base of the rectangle he can build.
*The maximum length of the base of the rectangle is 23 ft.*
Given:
Triangle:
height = 6ft
base = 4ft
Rectangle:
length = x
Width = 6 ft
Surface Area = 150ft²
Area of a Triangle = h*b / 2 = (6ft * 4ft) / 2 = 12ft²
Area of a rectangle = Surface Area - Area of a Triangle
A = 150 ft² - 12 ft² = 138 ft²
138 ft² = x * 6ft
138 ft² / 6 ft = x
23 ft = x
23ft is your answer
Please could someone help?
Answer:
x = -3, y = 12
x = 0.5, y = 8.5
Step-by-step explanation:
Easiest and fastest way to do this is not algebraically, but graphically. Simply graph the systems of equations into a graphing calc and trace to where the 2 graphs intersect.
9:PLEASE HELP Evaluate the expression 2m+n for m=7 and n=2
Answer:
16
Step-by-step explanation:
Let's find out you're equation together!
You're equation could be turn into (2 * 7)+2.
And, that equation is equal to 14 + 2.
so, it is 16.
Calculate the equation of the line if two points are (1,6) and (5,0) Hint, you will have to find the slope of the line and then sub it into the equation y=mx+b
PLEASE ANSWER
Answer:
The equation is [tex]y=\frac{-3}{2} x-9[/tex]
Step-by-step explanation:
First, you will have to find the slope of the two points.To do that, you will have to use the formula : [tex]m=\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]
Our points are [tex](1,6)[/tex] and [tex](5,0)[/tex]
We will have to substitute the points into the formula.
[tex]m=\frac{0-6}{5-1}[/tex]
Then, we will simplify
[tex]m= \frac{-6}{4}[/tex]
We could simplify that fraction into [tex]\frac{-3}{2}[/tex]
So, our slope is [tex]\frac{-3}{2}[/tex]
We will have to pick a coordinate point, and choose. I chose [tex](1,6)[/tex]
We will substitute the x-value and the y-value of the coordinate point, including our slope, to calculate the y-intercept.
The formula we will be using is [tex]y=mx+b[/tex]
We will substitute in our values which will make it look like:
[tex]6=\frac{-3}{2} (1)+b[/tex]
We will then multiply [tex]\frac{-3}{2}[/tex] by [tex]1[/tex] which will stay the same.
Then, we will multiply [tex]\frac{-3}{2}[/tex] by [tex]6[/tex] which will equal [tex]-9[/tex]
[tex]-9=b[/tex]
Hence, the equation for our line is [tex]y=\frac{-3}{2} x-9[/tex]
Hope it helped:D
-Jazz
Is the function f(x)= -(4/3)^-6x an exponential function? What’s the base
Answer:
Yes.
Base: 4/3
Step-by-step explanation:
Since we have the base of 4/3 being powered by -6x, we do indeed have an exponent.
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
A: [tex]f(x)\leq -2[/tex]
Step-by-step explanation:
After graphing the equation, the highest point is (-1,-2). Since f(x) is the 2nd number in the coordinates (x, f(x)), the range is [tex]f(x)\leq -2[/tex]
Antonio invests 3000 at .10 interest compounded semianually for 12 years. Use the compound interest formula to calculate the compound amount for his investment
Answer:
A=9675.299
Step-by-step explanation:
A=p(1+r)^t
A compound amount
P is the principle amount invested
r : rate ( semiannually is 0.5 )
t=years ( semiannually 12*2=24)
A=3000(1+0.10/2)^24
A=9675.299
The forecast predicts that the temperature will change from 15 degrees Fahrenheit to -3 degrees Fahrenheit. A. Write an expression that represents the change in temperatures for Saturday. B. What is the expected temperature change? C. If the temperature actually changes by 5 degrees more than predicted, what will be the change in temperature?
Answer:
A. [tex]Change = Final\ temperature - Inicial\ temperature[/tex]
B. Negative change of 18 degrees
C. Negative change of 23 degrees, final temperature would be -8°F
Step-by-step explanation:
A.
The expression that represents the change in temperature is:
[tex]Change = Final\ temperature - Inicial\ temperature[/tex]
B.
If the final temperature is -3°F and the inicial temperature is 15°F, the change in temperature is:
[tex]Change = -3 - 15 = -18\° F[/tex]
We have an absolute change of 18 degrees.
C.
If the change is 5 degrees more, the change would be 18 + 5 = 23 degrees, and the final temperature would be 5 degrees lower, that is:
[tex]Final\ temperature = -3 - 5 = -8\°F[/tex]
Find the value of h in the triangle.
18.2 m
12 m
h
21.8 m
[ ? lm
Answer:
10 mStep-by-step explanation:
Area of ∆ = 1/2 * base* height
b= 12 m
h= 18.2 m
Area = 1/2*12*18.2
Considering,
base= 21.8 m
A= 1/2*21.8* h
[tex] \frac{1}{2} \times 12 \times 18.2 = \frac{1}{2} \times 21.8 \times h[/tex]
[tex]h = \frac{12 \times 18.2}{21.8} [/tex]
[tex]h = 10.018 \: m[/tex]
[tex]h = 10 \: m[/tex]Hope this helps...
Good luck on your assignment..
Answer:
40
Step-by-step explanation:
MARKING BRAINIEST!!!
Answer:
y=-0.5ˣ
Step-by-step explanation:
each time the x-value is increased by one, the y-value is cut in half compared to the previous point
Answer:
y=-0.5ˣ
Step-by-step explanation:
each time the x-value is increased by one, the y-value is cut in half compared to the previous
Jocelyn has 4 rabbits each pair have 4 babies every year. How many Rabbits will Jocelyn have in 5years? Write an equation and show work.
Answer:
4096
Step-by-step explanation:
You do the equation 4^6
[tex]\huge\mathbb\skyblue{Question:}[/tex]
Jocelyn has 4 rabbits each pair have 4 babies every year. How many Rabbits will Jocelyn have in 5years? Write an equation and show work.
[tex]\huge\mathbb\skyblue{Solution:}[/tex]
do this equation 4^6 ^^
So the Answer is 4096
[tex]\huge\mathbb\color{skyblue}{Answer:}[/tex]
4096 rabbits will Jocelyn have in 5years.
᯽᯽᯽᯽᯽᯽᯽᯽᯽᯽᯽᯽᯽᯽
If you have any questions, feel free to ask me <33
[tex]\tiny\bold\color{lightpink}{\boxed{\overbrace{\underbrace{ArianahMaxxiLou}}}}[/tex]
Please can someone help I have tried many times
Answer:
My answer is in the attached picture
Step-by-step explanation:
Enlarged by a scale of 2 using P as the centre of enlangment.
Answer:
Step-by-step explanation:
All you should do is to draw lines that conect each node of the triangle with the center of enlargement .
Question 13 PLEASE HELP Find the x-intercept of -x +2y =6. X-intercept: (___,0)
Answer:
(-6,0)
Step-by-step explanation:
The x intercept is when y = 0.
So, -x +2(0) = 6
-x = 6
x = -6
what is 1+1, is the answer a letter and why
Answer:
2
Step-by-step explanation:
Lets say John had 1 apple and Sarah gave him 1 more apple. John would now have 2 apples.
Hope this helps :)
Answer:
B
Step-by-step explanation:
1=a 2=b