Answer:
(y-2)(x+8)
Step-by-step explanation:
xy + 8y - 2x - 16= (xy +8y) - (2x+16) =y(x+8) - 2(x+8) =(y-2)(x+8)As you can see it is factorized
Sample Response: I agree that fast food
obsen gave work experience to teenagers. At
the same time, I wonder how valuable this
work experience is in Rise Red Nation,
Soloer mentions that teenagers with these
jobs are not paid well and often do not learn
new skills. In addition, time on the job can
take away from their focus on school.
What did you include in your response? Check all
that apply
an acknowledgement of the other
participant's opinion
my opinion on the topic
examples to support my opinion
evidence from a text related to the discussion
Answer:
you can pick any of them
Step-by-step explanation:
Answer: Any are right
Step-by-step explanation:
The amount of time (t) in minutes it takes to make a coffee at Starbucks is related to (n) the number of coffees they purchase. The equation is t= 21-3 How long does it
take if a customer buys 5 coffees?
Answer: 7 minutes
Step-by-step explanation:
There is no n variable in the question, found the original question and the equations is: t = 2n – 3.
So, to answer this question we simply have to substitute n=5 in the equation given:
t = 2(5) – 3.
Solving for t(time)
t = 10-3 = 7 min.
It will take the customer 7 minutes to buy 5 coffees.
Feel free to ask for more if needed or if you did not understand something.
Given 1 ABCD and 2D = 1459, what is the measure of C?
A. 1450
B. 900
C. 105°
D. 35°
E. 80°
F. Cannot be determined
Answer:
D
Step-by-step explanation:
Assuming the figure to be a parallelogram, then
The consecutive angles are supplementary, that is
∠ D + ∠ C = 180°
145° + ∠ C = 180° ( subtract 145° from both sides )
∠ C = 35° → D
Given: x + 2y=-6.
Solve for y
Oy=x-6/2
Oy=-x+6/2
Oy=-x-6/2
Answer:
y = (-x - 6)/2
Step-by-step explanation:
x + 2y = -6
2y = -x - 6
y = (-x - 6)/2
*One half of two fifths of x.
Answer:
one half of two fifths of x would be equivalent to one fifth of x
pleaseeeeeeeeeeeeeee hellllllllllllp pleaseeeeee helpppppp
any number that divisible by 3 is also divisible by 6 . Find a counterexample to show that the conjecture is false
Answer:
Counterexample: 21 which is divisible by 3 but not by 6.
Step-by-step explanation:
Use for example the number 21 which is divisible by 3 rendering 7, but not divisible by 6.
You can find any number with at least a factor of "3", but no factor "2" in it, so any odd number divisible by 3 would work as counterexample.
HELP - 100 POINTS AND BRAINLIEST!! Find the area and volume - a square has a side length of 6.25 Please show your work! Thank you!
Step-by-step explanation:
Area: bh
The shape is a square in which the side lengths are the same, so we multiply the number squared.
A = 6.25(6.25)
A = 39.06
Volume: lwh
6.25^3 = V
V = 244.14
Hope this helps:)
Step-by-step explanation:
Area: bh
The shape is a square in which the side lengths are the same, so we multiply the number squared.
A = 6.25(6.25)
A = 39.06
Volume: lwh
6.25^3 = V
V = 244.14
I hope I contributed
how do u find rate of change on a graph
Step-by-step explanation:
The correct answer is the vertical change divided by the horizontal change between two points on a line. We can find the slope of a line on a graph by counting off the rise and the run between two points. If a line rises 4 units for every 1 unit that it runs, the slope is 4 divided by 1, or 4.
Answer:
Calculate the rise over the run/the change in y over the change in x
Step-by-step explanation:
In order to find the rate of change on a graph from a slope, you need to look at how many units up and how many units to the right. Find a solid point on the graph for both the x and y directions. Count how many units go up and how many go right. Divide how many units go up by how many go to the right and that is the rate of change on the graph.
Which shows how to find the y-coordinate of the point that will divide CD into a 5:2 ratio using the formula y = (y2 – y1) + y1? y = (3 – 1) + 1 y = (3 + 4) – 4 y = (3 – 1) + 1 y = (3 + 4) – 4
Answer:
[tex]\frac{5}{5+2}(3-1)+ 1[/tex]
Step-by-step explanation:
To find the coordinate of the point that divides a line segment AB with point A at ([tex]x_1,y_1[/tex]) and point B at [tex](x_2,y_2)[/tex] in the proportion c:d, the formula used to find the location of the point is:
[tex]x-coordinate:\\\frac{c}{c+d}(x_2-x_1)+x_1 \\\\While \ for\ y-coordinate:\\\frac{c}{c+d}(y_2-y_1)+y_1[/tex]
Therefore the y coordinate that divides line segment CD with point C at ([tex]-4,1[/tex]) and point D at [tex](3,3)[/tex] in the proportion 5:2 is given by:
[tex]for\ y-coordinate:\\\frac{c}{c+d}(y_2-y_1)+y_1\\=\frac{5}{5+2}(3-1)+ 1\\=\frac{5}{7}(2)+1=\frac{17}{7}[/tex]
Answer:
{5/7}(3-1)+1
Step-by-step explanation:
Two consecutive odd whole numbers are selected. The difference between the reciprocal of the two numbers is 2/99. Determine the two numbers
Answer:
x = 9 (first odd number)
x + 2 = 11 (second odd number)
Step-by-step explanation:
Let
x =first odd number
x + 2=second odd number
given:
1/x - 1/(x + 2) = 2/99
Find the LCM
(x+2)-x / x(x+2)=2/99
x+2-x / x(x+2)=2/99
common denominator x( x + 2)
2 / x(x + 2) = 2/99
Take the reciprocal of both sides
1/2x(x + 2) = 99/2
multiply both by 2
x(x +2) = 99
Expand the left side
x^2 + 2x = 99
add 1 to both sides
x^2 + 2x + 1 = 100
express the left side as a square
(x + 1)^2 = 100
Square root of both sides
x + 1 = 10 or x + 1 = -10
taking the positive root only
x = 9 (first odd number)
x + 2 = 11 (second odd number)
check:
1/9 - 1/11 = 2/99
11/99 - 9/99 = 2/99
2/99 = 2/99
f(x)=x^2. What is g(x)
Answer:
[tex]g(x) = \frac14x^2[/tex]
Step-by-step explanation:
Since f(x) and g(x) share the same top at (0,0), their difference is only a scale factor, so g(x) = ax² but we need to find a.
To find it, we use the given point of g, (2,1)
So g(2) = 1
meaning that
a·2² = 1
4a = 1
a = 1/4
Built in 2011, the capital gate tower is 150 meters tall (measured vertically from the ground) and makes a 72 degree angle with the ground. If you were to climb to the top and then accidentally drop your keys, how far from the base of the tower would they land?
Answer:
Step-by-step explanation:
You can create a right triangle out of this information and then use right triangle trig to solve.
We are given the height of the triangle as the height of the tower which is 150m.
We are given the angle of inclination as the degree the tower makes with the ground which is 72.
From the angle of 72 degrees, which is also known as the reference angle, we have the side across from it (the height) and we are looking for the side adjacent to it (how far from the base of the tower the keys will land). Side opposite the reference angle over side adjacent to the reference angle is the tangent ratio:
[tex]tan(72)=\frac{150}{x}[/tex] and, solving for x,
[tex]x=\frac{150}{tan(72)}[/tex]
Make sure your calculator is in degree mode to solve this. Divide 150 by the tan(72) and find that
x = 48.7 m
A band went to a recording studio and recorded 4 songs in 3 hours. How many hours would it take the band to record 9 songs if they record at the same rate?
Answer:
6 hours and 45 minutes
Step-by-step explanation:
if you divide 3 hours by four songs you deduce that it take 45 minutes to record one song.
8 is double 4 so it will take 3more hours plus the 45 minutes for the ninth song.
3+3+.45= 6.45
If you can buy 1⁄3 of a pound of turkey for 4 dollars, how much can you purchase for 10 dollars? Write your answer as a fraction of a pound
Answer:
2/6 for$10
Step-by-step explanation:
Answer:
5/6 lbs
Step-by-step explanation:
We can use ratios to solve
1/3 lbs x lbs
--------------- = ------------
4 dollars 10 dollars
Using cross products
1/3 * 10 = 4x
Divide each side by 4
10/3 * 1/4 = 4x/4
10/12 = x
Simplifying
5/6 =x
What is the value of this expression when g=-3.5?
8-12g-51
Step-by-step explanation:
If g=3.5 what about 12g
12g×3.5=42
8_42_51=_85
The tables for f(x) and g(x) are shown below.
х
f(x)
-11
-5
-2
1
1
13
5
29
х
-5
g(x)
-7
-1
-2
1
5
5
13
What is the value of (f-9)(5)?
Answer:
16
Step-by-step explanation:
(f - g)(5) = f(5) -g(5)
From the tables, ...
f(5) = 29
g(5) = 13
Your desired function is ...
f(5) -g(5) = 29 -13 = 16
The Goodsmell perfume producing company has a new line of perfume and is designing a new bottle for it. Because of the expense of the glass required to make the bottle, the surface area must be less than 150 cm2. The company also wants the bottle to hold at least 100mL of perfume. The design under consideration is in the shape of a cylinder. Determine the maximum volume possible for a cylindrical bottle that has a total surface area of less than 150 cm2. Determine the volume to the nearest 10mL. Report the dimensions of the bottle and he corresponding surface are and volume.
Answer:
Dimensions of the bottle
x (radius of the base ) = 3,99 cm
h (heigh of the bottle ) = 3,99 cm
Surface area = 149,99 cm²
Volume of the bottle = 199,45 cm³
Step-by-step explanation:
The bottle volume must be V(b) = 100 ml or V(b) = 100 cm³
The shape of the bottle is cylindrical
Surface area of bottle is
S = surface area of the base + lateral area
Area of the base = π*x ² where x is radius of circle
Lateral area is 2*π*x*h where h is the heigh of the bottle
V(b) = π* x²*h (1)
π*x² + 2*π*x*h < 150 cm² we work with the limit 150
π*x² + 2*π*x*h = 150
h = (150 - π*x²) /2*x*π
Plugging that value in equation (1)
V(x) = π*x² * (150 - π*x²) /2*x*π ⇒ V(x) = 150*π*x²/2*x*π - π²*x⁴/2*x*π
V(x) = 75*x - π*x³/2
Taking derivatives on both sides of the equation
V´(x) = 75 - 3*π*x²/2
V´(x) = 0 75 - 3*π*x² /2 = 0
x² = 75*2 /3*π ⇒ x² = 15,92 ⇒ x = 3,99 cm
And h = ( 150 -π*x² )/2*π*x
h = ( 150 - 49,98 )/25,05
h = 3,99 cm
Dimensions of the bottle
x (radius of the base ) = 3,99 cm
h (heigh of the bottle ) = 3,99 cm
Surface area = 149,99 cm²
Volume of the bottle = 199,45 cm³
the length f a rectangle is 3 ties its width, the perimeter of it is 24cm. what is the area of it?
Answer: 27cm²
Step-by-step explanation:
lets take the width as x and length as 3x( since length is 3 times the width)…
Perimeter of the rectangle is 24 cm( 2*(l+b))= 2×(3x+x):24
2×4x=24
8x=24
X( width): 24/8=3cm
Length= 3x: 3*3=9cm
Area of the rectangle: ( l*w)= 9×3: 27cm²
Answer:
Step-by-step explanation:
Please answer this question now
Answer:
m < S = 55°
Step-by-step explanation:
Based on tangent theorem, a tangent line is said to be perpendicular to a radius of a circle when they intercept. The point at which they meet is said to be at 90°.
Therefore, in the ∆PQS, given, m < P = 90°.
m < Q = 35°
m < S = 180° - (90° + 35°) (sum of the angles in a triangle)
m < S = 180° - 125°
m < S = 55°
HELP ASAP, PLEASE!!!!
Answer:
Fraction = 5/10 = 1/2
Decimal = 0.5
Step-by-step explanation:
Answer:
fraction-5/10 decimal-0.5
plz give brainiest
Step-by-step explanation:
A $86 ,000 trust is to be invested in bonds paying 9% , CDs paying 6% , and mortgages paying 10% . The bond and CD investment together must equal the mortgage investment. To earn a $7180 annual income from the investments, how much should the bank invest in bonds?
Answer:
to earn a $7180 annual income from the investments, the bank needs to invest $10,000 into the bonds.
Step-by-step explanation:
Let the mortgage investment be X
The Bond to be Y
and the CDs to be Z
Thus;
X+Y+Z = 86000 ------- (1)
Y + Z = X ------------(2)
10X + 9Y + 6Z = 7180 × 100 ------ (3)
So;we now have:
X+Y+Z = 86000 ------- (1)
Y + Z = X ------------(2)
10X + 9Y + 6Z = 718000 ------ (3)
Let ; replace X with Y+Z in equation (1) and (3)
Y+Z + Y+Z = 86000
2Y + 2Z = 86000
Divide both sides by 2
Y+Z = 43000 ------ (4)
From equation (3)
10X + 9Y + 6Z = 718000
10(Y+Z) + 9Y + 6Z = 718000
10Y +10Z + 9Y +6Z = 718000
19Y + 16Z = 718000 -----(5)
Y+Z = 43000 ------ (4)
19Y + 16Z = 718000 -----(5)
Using elimination method; multiply (-16) with equation (4) and (5) ; so, we have:
-16 Y -16 Z = -688000
19Y + 16Z = 718000
3Y + 0 = 30000
3Y = 30000
Y = 30000/3
Y = 10000
From (4);
Y+Z = 43000
So; replace Y with 10000; we have:
10000 + Z = 43000
Z = 43000 - 10000
Z = 33000
From (1) ;
X+Y+Z = 86000
X + 10000 + 33000 = 86000
X + 43000 = 86000
X = 86000 - 43000
X = 43000
Since we assume the bond to be Y and Y = $10000;
Thus; to earn a $7180 annual income from the investments, the bank needs to invest $10,000 into the bonds.
Given the function f(x) = −2x2 + 4x − 7, find f(−4).
−55
−7
9
25
Answer:
A. -55
Step-by-step explanation:
f(x)=-2x^2+4x-7
f(-4)= -2(-4)^2+4(-4)-7
= -2(16)-18-7
= -32-16-7
= -55
Answer:
-55
Step-by-step explanation:
f(x) = −2x^2 + 4x − 7
Let x = -4
f(-4) = −2(-4)^2 + 4(-4) − 7
= -2 (16) -16 -7
= -32 -16 -7
=-55
can you solve - x/4<7 ?
Answer:
Step-by-step explanation:
Eldrick is using the dot plots to compare two sets of data. Both plots use the same number line. What is the difference between the mean of each data set?
Answer:
15
Step-by-step explanation:
mean means add all the numbers and divide them by how many there are
plot 1: 63 divided by 9 equals 7
plot 2: 330 divided by 15 equals 22
so now we need to subtract 22 minus 7 equals 15
hope this helps
Answer:
15
Step-by-step explanation: you have to add all of the numbers and then divide the answer by the number of numers you added
A windshield wiper blade is 18 inches long. To the nearest square
inch, what is the area covered by the blade as it rotates through an
angle of 122 degrees? (Enter just a number for your answer.)
the answer is 22 degrees
The area covered by the blade as it rotates through an angle of 122 degrees is approximately 346 square inches.
We have,
The area of a sector can be calculated using the formula:
Area = (θ/360) * π * r²
where θ is the central angle in degrees, π is a mathematical constant approximately equal to 3.14159, and r is the radius of the sector.
The central angle is 122 degrees, and the radius of the wiper blade is 18 inches.
Substituting the values into the formula:
Area = (122/360) * π * (18²)
Area = (0.3389) * 3.14159 * 324
Area ≈ 344.77 square inches
Area = 345 square inches
Therefore,
The area covered by the blade as it rotates through an angle of 122 degrees is approximately 346 square inches.
Learn mroe about the area of sectors here:
https://brainly.com/question/1582027
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If f(x) =x/2+8, what is f(x) when x=10
Answer:
f(10) =13
Step-by-step explanation:
f(x) =x/2+8,
Let x = 10
f(10) =10/2+8,
= 5+8
= 13
Please help! Segment QR is tangent to circle P at point Q. What is the measure of angle PQR? A.) 37 degrees B.) 53 degrees C.) 90 degrees D.) 97 degrees
Answer:
Correct option: C) 90 degrees
Step-by-step explanation:
When we have a tangent segment to a circle, the angle made with the radius of the circle and the tangent segment is always a right angle, that is, 90 degrees. In other words, the radius and the tangent segment are always perpendicular.
If QR is tangent to the circle P, and PQ is the radius of the circle, the segment PQ is perpendicular to the segment QR, so the angle PQR is equal 90 degrees.
Correct option: C)
Answer:
Angle PQR is 90 so answer would be C
Step-by-step explanation:
Last year, 1,345 bicyclists showed up to the bicycle race. This year, only 690 bicyclists showed up. Write the ratio of the number of bicyclists that showed up to the bicycle race for the past two years.
Answer:
138 : 269
Step-by-step explanation:
Last year, the number of bicyclists that showed up was 1345.
This year, there were 690 bicyclists.
The ratio of the number of bicyclists that showed up for the past two years is the ratio of those that showed up this year to those that showed up last year:
690 : 1345
Let us put it in simplest terms:
138 : 269
triangle ABC is Isosceles CA and CB are equal AB is parallels to the x- axis. Work out the coordinate of A. Given that BC=5cm work out the perimeter of the triangle
Answer:
The perimeter of the triangle ABC is 17 cm.
Step-by-step explanation:
Consider the Isosceles triangle ABC.
The sides CA and CB are equal with measures, 5 cm.
The base angles are assumed to be x° each. Hence, the angle ACB is 2x°.
The altitude CP divides the base AB into two equal halves and the angle ACB is also cut into halves.
Consider the right angled triangle ACP.
The sum of all the angles in a triangle is 180°.
Determine the value of x as follows:
x° + x° + 90° = 180°
2x° = 90°
x° = 45°
Compute the length of side AP as follows:
[tex]cos\ 45^{0}=\frac{AP}{CA}[/tex]
[tex]\frac{1}{\sqrt{2}}=\frac{AP}{5}[/tex]
[tex]AP =\frac{5}{\sqrt{2}}\\\\AP=3.5[/tex]
Then the length of side AB is:
AB = AP + PB
= 3.5 + 3.5
= 7 cm
The perimeter of triangle ABC is:
Perimeter = AB + CA + CB
= 7 + 5 + 5
= 17
Thus, the perimeter of the triangle ABC is 17 cm.