Answer:
Logan: 9
Ethan: 14
Step-by-step explanation:
Let Ethan = e
Let Logan = l
1) We can set up two equations and solve them simultaneously.
e + l = 23
5 + l = e
1.1) To solve these equations, we can either use substitution or elimination.
5 + l + l= 23
2l = 23 - 5
2l = 18
l = 18/2
l = 9
2) Plug the result of l into one of the two equations above.
5 + 9 = e
14 = e
I NEED THAT ANSWER ASAP
Answer:
12.7
Solving steps:-
d = a√2
d = 9 (1.41)
d = 12.69
d = 12.7
State the possible Number of positive and negative zeros for each function.
f(x) = 9x6 -3x5+ 33x4 -11x³ + 18x²- 6x
Algebraic rule
If a polynomial has n th degree then it has n no of zerosAs
here the polynomial has degree 6
Total zeros 66 can be all negative or positive
Answer:
Both positive (or) negative
Step-by-step explanation:
The polynomial's degree is 6 and so the polynomial has 6 zeroes. These zeroes can be either positive or negative.
The length of a rectangle is five time it’s width. If the perimeter of a rectangle is 84ft, find its area
Answer:
Area = 245 ft
(Width
Step-by-step explanation:
l = 5w
Where l is length and w is width.
We also know that the perimeter is 84 ft, so:
2l + 2w = 84
Now we can plug in 5w for l since we found the equality earlier:
2(5w) + 2w = 84
and then solve for w:
10w + 2w = 84
12w = 84
w = 7
so
l = 5 × 7
l = 35
The length is 35 and width is 7 so
the area of the rectangle is
[tex]7 \times 35 = 245ft [/tex]
In the diagram, a circle centered at the origin, a right triangle, and the Pythagorean theorem are used to derive the equation of a circle, x2 + y2 = r2.
If the center of the circle were moved from the origin to the point (h, k) and point P at (x, y) remains on the edge of the circle, which could represent the equation of the new circle?
A: (h + x)2 + (k + y)2 = r2
B: (x – h)2 + (y – k)2 = r2
C: (k + x)2 + (h + y)2 = r2
D: (x – k)2 + (y – h)2 = r2
Answer:
B
Step-by-step explanation:
[tex]\textsf{Let}\:(x_1,y_1)=(h,k)[/tex] → new center of the circle
[tex]\textsf{Let}\:(x_2,y_2)=(x,y)[/tex] → point on the circle
Therefore, the radius (r) is the distance between (x, y) and (h, k)
Use the distance formula:
[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}=d[/tex]
[tex]\implies \sqrt{(x-h)^2+(y-k)^2}=r[/tex]
Square both sides:
[tex]\implies (x-h)^2+(y-k)=r^2[/tex]
Answer:
Option B
Step-by-step explanation:
Then we have to use distance formula to derive it
√(x-h)²+(y-k)²=r(x-h)²+(y-k)²=r²Option B is correct
What is the arc measure of minor arc AB on circle P in degrees?
Answer:
74
Step-by-step explanation:
This is called a central angle, meaning that what ever te angle measure is, is the same to its ark measure.
So to find that inside angle measure you have to subtract 360 by 286
whitch is 74
74 is your inside angle and the angle for ark AB
1. What is the type of association between variables x and y?
options:
strong positive
strong negative
perfect positive
no association
2. What is the type of association between variables x and y?
options:
no association
moderate positive
weak negative
strong negative
The statements that describe the variables x and y are:
The association between variables x and y is (d) no associationThe type of association between variables x and y is (a) no associationHow to determine the associationIn the graph that relates variables x and y (see attachment), we can see that the points are scattered on the coordinate plane and they do not follow a specific pattern.
If the points are scattered, then the graph shows no association.
Hence, the graph shows no association
Read more about scatter plots at:
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How is the scale factor, surface area ratio and volume ratio related?
If two solids are similar with a scale factor of a/b, then the surface areas are in a ratio of [tex]\rm \left (\dfrac{a}{b } \right )^2[/tex].
If two solids are similar with a scale factor of a/b, then the volumes are in a ratio of [tex]\rm \left (\dfrac{a}{b } \right )^3[/tex].
What are the area and volume of similar solids?Two shapes are similar if all their corresponding angles are congruent and their corresponding sides are proportional.
Two solids are similar if they are the same type of solid and their corresponding radii, heights, base lengths, widths, etc. are proportional.
When two shapes are similar in two dimensions, the ratio of their areas is the square of the scale factor.
A comparable relationship holds in three dimensions as well.
Surface Area Ratio: If two solids are similar with a scale factor of a/b, then the surface areas are in a ratio of [tex]\rm \left (\dfrac{a}{b } \right )^2[/tex].
Volumes of Similar Solids; Just like surface area, volumes of similar solids have a relationship that is related to the scale factor.
Volume Ratio: If two solids are similar with a scale factor of a/b, then the volumes are in a ratio of [tex]\rm \left (\dfrac{a}{b } \right )^3[/tex].
Learn more about the area here;
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Helppp meeeeee please
Answer:
The answer is F
Step-by-step explanation:
Because I said so
Find the value of x
I need the answer ASAP
Answer:
15
Step-by-step explanation:
i kinda remember i think
2(x+8)=46
Helpppppppppppppppppp
Answer:
They need $60.32 in order to purchase the swing set.
Step-by-step explanation:
682.56-200.000 = 482.56
482.56/8 = $60.32
If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalent to x from the second equation is substituted into the first equation.
3x + 2y = −21
x − 3y = 4
A. 3(3y + 4) + 2y = −21
B. 3(−3y + 4) + 2y = −21
C. 3x + 2(3y + 4) = −21
D. 3x + 2(−3y + 4) = −21
Answer:
B
Step-by-step explanation:
when you subtact 3y on both sides
you get x = -3y+4
please help me for 15 points
if you don't know please don't try to comment wrong answer
please send with explaination
Answer:
x=0 , x=-3
Step-by-step explanation:
Apply all exponent rules:
[tex]3^{x+3}[/tex] = [tex]3^{x}[/tex]×[tex]3^{3}[/tex]
[tex]\frac{1}{3^{x} }[/tex] = [tex](3^{x} )^{-1}[/tex]
Rewrite equation with [tex]3^{x}= u[/tex]
[tex]u[/tex] × [tex]3^{3}[/tex] + [tex]u^{-1}[/tex] - 28 = 0
Solve for u to give :
u = 1, u = 1/27
Substitute back u = [tex]3^{x}[/tex], solve for x :
[tex]3^{x}[/tex] = 1 , x= 0
[tex]3^{x}= \frac{1}{27}[/tex] , x= -3
x=0 , x=-3
Substituting x back into original equation verifies our answers
Students are comparing their helghts. Jose is 416, feet tall, Lee is 414, feet tall, Judi is 4112, feet tall, and Sammy is 423. feet tall. Which student is the tallest?
f Judi
g Jose
h Sammy
j Lee
Reflect triangle ABC over the line y = 2.
Translate the image by the directed line segment from (0, 0) to (3, 2).
What are the coordinates of the vertices in the final image?
The question is an illustration of transformation, and the coordinates of the image of the triangle are (-3,7), (-2,4) and (0,6)
How to transform the triangle?The coordinates of the triangle are given as:
(-6,-1), (-5,2) and (-3,0)
When the triangle is reflected across the line y = 2 is, the new points are
(-6,5), (-5,2) and (-3,4)
Next, we translate the image of the triangle using the translation
(x,y) -> (x + 3, y +2)
So, we have:
(-6,5) => (-6 + 3, 5 + 2) = (-3,7)
(-5,2) => (-5 + 3, 2 + 2) = (-2,4)
(-3,4) => (-3 + 3, 4 + 2) = (0,6)
Hence, the coordinates of the image of the triangle are (-3,7), (-2,4) and (0,6)
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Simplify: -15 + 23r + 9r^2 - 16r + 10
Answer:
9r^2 + 7r - 5
Step-by-step explanation:
What is the equation of the line that passes through the point (-5,-2) and has a slope of 3/5?
Answer:
y = 3/5x + 1
Step-by-step explanation:
Formula:
y - y1 = m(x - x1)
Plug in:
y - (-2) = 3/5(x - (-5))
Two negatives make a positive:
y + 2 = 3/5(x +5)
Distribute 3/5 to (x + 5):
y + 2 = 3/5x + 3
Get y by itself by - 2:
y = 3/5x + 1
Hope this helps you :)
Edgy question please help
What is the true solution to the equation below?
2 in en 2x - In en 10x - In 30
x - 30
O x - 75
OX-150
X-300
Answer:
B
Step-by-step explanation:
Answer:
x=75
Step-by-step explanation:
2 * ln (e ^ ln (2x)) - ln (e ^ ln (10x)) = ln (30)
Apply exponent rules
2 * ln (2x) - ln (10x) = ln (30)
Apply log rules
2 * ln (2x) - ln (10x) = ln (30)
Apply log rule: logc(ab) = logc(a) +logc (b)
Apply exponent rules
2 * ln (2x) - ln (10x) = ln (30)
Apply log rules
2 * ln (2x) - ln (10x) = ln (30)
Apply log rule: logc(ab) = logc(a) + logc (b)
ln (2x) = ln (2) + ln (2)
2(ln (2) + ln (x)) - ln (10x) = ln (30)
Apply log rule: logc(ab) = logc(a) + logc (b)
ln (10x) = ln (10) + ln (x)
ln (2x) = ln (2) + ln (2)
2(ln (2) + ln (x)) - ln (10x) = ln (30)
Apply log rule: logc(ab) = logc(a) + logc (b)
ln (10x) = ln (10) + ln (x)
Apply log rule: logc(ab) = logc(a) + logc (b)
ln (10x) = ln (10) + ln (x)
2(ln(2)+ln(x))-(ln(10)+ln(x))=]
Expand 2(ln(2) +ln(x)
ln (x) + 2 * ln (2) - ln (10) = ln (30)
Subtract 2 * ln (2) - ln (10) from both sides
In(x) + 2ln(2) - In(10) - (2ln(2) - In
Simplify
ln (x) = ln (30) - 2 * ln (2) + ln (10)
Simplifify ln (30) - 2 * ln (2) + ln 10
ln (x) = ln (75)
Apply log rule: If logb(f(x)) = logb (g(x)) then f(x) = g(x)
x = 75
Verify Solutions: X = 75
Check the solutions by plugging them
into 2 * ln (2x) - ln (10x) = ln (30) Remove the ones that don't agree with the equation.
Plug in x =75
2 * ln (2 * 75) - ln (10 * 75) = ln (30)
2 * ln (2 * 75) - ln (10 * 75) = ln (30)
ln (30) = ln (30)
True
Jupiter has a diameter
86.881 mi. What is the
circumference of the
planet?
Answer:
about 272944 miles
Step-by-step explanation:
d=86,881mi
c=d(pi)
c=86881pi
c≈272944mi
Hi, I need help, am struggling with this. Question is in image below.
Answer:
I believe that would be -24/16, -√2, 21/51, and then 0.42
Step-by-step explanation:
This is according to math app
Solve for xx. Round to the nearest tenth of a degree, if necessary.
Answer: 38.2
Step-by-step explanation:
Rewrite the log expression in exponential form:
logbA=x
Answer:
[tex]b^x =A[/tex]
Step-by-step explanation:
A card is selected at random from a deck of cards.
Determine the probability that the card selected is A 5
Answer:
8/52 = 4/26 =2/13
Step-by-step explanation:
A there are 4 aces
5 there are 4 5s
4+4=8
Answer number 7 part A please. Thank you.
Answer:
6,300
Step-by-step explanation:
About 70% of the population will say yes, which is 6,300 out of 9,000
Answer:
6300
Step-by-step explanation:
70
___
100
said yes
there is 9000
change 100 to 9000
that x90
70x 90=6300
What is the answer
((((5+5+6+6+8+8+10+10)*2)*4)*6)=
Answer:
58*48 is the answer for ((((5+5+6+6+8+8+10+10)*2)*4)*6
Step-by-step explanation:
Answer:
((((5+5+6+6+8+8+10+10)*2)*4)*6)=((((10+12+16+20)*2)*4)*6)=((((22+36)*2)*4)*6)=((((58)*2)*4)*6)=((116*4)*6)=(464)*6)=2784
Step-by-step explanation:
PLEASE HELP ME!!!
I WILL MARK BRAINLIEST
Answer:
Equation:
(5x)° + (x - 6)° = 90
OR
5x + x - 6 = 90
x = 16
m
Angle1 = 80°
mAngle2 = 10°
Step-by-step explanation:
Angle 1 + Angle 2 adds up to 90°. The tiny square in the corner of the image shows you that the whole thing is 90°.
So write the equation base on that.
5x + x - 6 = 90
Combine like terms(add the x's)
6x - 6 = 90
Add 6.
6x = 96
Divide by 6.
x = 16
Fill in 16 for x to find the measures of the angles.
Angle 1 = 5x
= 5(16)
= 80°
Angle 2
= x - 6
= 16 -6
= 10°
And 80°+ 10° is 90° so that's a good check. Hope this helps!
Can someone help me?
Answer:
CE
Step-by-step explanation:
CE IS THE REQUIRED ANSWER FOR THE GIVEN QUESTION
90 over 7 EndFraction divided by 1 and three-fourths
Answer:
120/7
Step-by-step explanation:
means90/7÷3/4
= 90/7 ×4/3
= 120/7
A coin is tossed two times what is the probability of getting tails twice
Answer:
1/4
Step-by-step explanation1/4
WILL GIVE BRAINLIEST
For what value of k will the relation R= {(2k+1, 3), (3k-2, -6)} not be a function?
Answer:
3
Step-by-step explanation:
2k+1 = 3k -2
k =3
every child has a 1 mom
f 7 = 3 f7= -6 this is imposible
[tex]\sf \boxed{\bold{k = 3}}[/tex]
Explanation:
If the first values of the two ordered pairs are the same, the relation is not a function.
Solve:
2k + 1 = 3k -2
2k - 3k = -2-1
-k = -3
k = 3
When k = 3, for the relation R= {(2k+1, 3), (3k-2, -6)} will not be a function.
Quentin agreed to pay 7% shipping and handling charge. If Quentin paid $9. 45 in shipping and handling, how much must the racquet have cost?
Answer:
The cost of the racquet is $135
Step-by-step explanation:
Let
x-----> the cost of the racquet
we know that
The racquet represent the 100%
so
using proportion
x/100%= $9.45/7%
x=100%*($9.45)/7
x=$135
My math teacher help me with it.