Answer:
ZB = 54
Step-by-step explanation:
Complementary angles add to 90 degrees
ZA + ZB = 90
x-15 + x+3 = 90
Combine like terms
2x-12 =90
Add 12 to each side
2x-12+12 = 90+12
2x = 102
Divide by 2
2x/2 = 102/2
x = 51
We want to find the measure of ZB
ZB = x+3
ZB = 51+3
ZB = 54
How many solution(s) does the equation x2 - 6x + 6 = -3 have?
Answer:
2 solutions
Step-by-step explanation:
17. Stella is competing in a diving competition. Her height in feet above the water is
modeled by the function h=-16t? + 8t + 48, where t is the time in seconds after she jumps
from the diving board. At what time will Stella land in the water? (Round to the nearest
hundredth, if necessary.)
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Answer:
after 2 seconds
Step-by-step explanation:
We want to find t such that h = 0.
0 = -16t² +8t +48
0 = 2t² -t -6 . . . . . . . divide by -8
0 = (t -2)(2t +3) . . . . factor
The only positive solution is t = 2, which makes the first factor zero.
Stella will land in the water at t = 2 seconds.
Out of a total of N students at a school, the number of students who have seen a new television program increases at a rate proportional to the product of the number of students who have seen the program and the number of students who have not seen the program. If S denotes the number of students who have seen the program at time t, which of the following differential equations could be used to model this situation, where k is a positive constant?
a. ds/dt = KS
b. ds/dt = kt(N-t)
c. ds/st = KS(N-S)
d. ds/dt = KS(S-N)
Answer:
ds/dt = kN(N-S)
Step-by-step explanation:
Given
Total number of student = N
number of students who have seen the program = S
Number of students who have not seen the program = N-S
The product of the number of students who have seen the program and the number of students who have not seen the program = N(N-S)
If the rate of number of students who have seen a new television program increases at a rate proportional to the product of the number of students who have seen the program and the number of students who have not seen the program, then:
ds/dt = kN(N-S)
k is the proportionality constant
help me with this man
Answer:
Point J - Quadrant I
Point F - Quadrant II
Point P - Quadrant III
Point T - Y-axis
Step-by-step explanation:
Answer:
F: Quadrant II
J: Quadrant I
P: Quadrant III
T: y-axis
Step-by-step explanation:
Brainliest Please!!
A diamond retailer buys a ring from his supplier
for $875. He marks up the price 110% to sell in
his store. What is the selling price of the
diamond with a 6% sales tax?
Answer:
nerd is 18
Step-by-step explanation:
xsas
Answer: $1,947.75
Step-by-step explanation: First, the mark up is 110% of the total, which is $875. 110% of 875 is $962.50, which you add to the total ($875) since it is mark up. $962.50 + $875 = $1837.50. Finally, 6% of $1837.50 is $110.25 so you add this to your new price ($1837.50) since the 6% is the sales tax. $1837.50 + $110.25 = $1947.75
PLEASE HELPPPP
Simplify: 2/3 -(6 + 3x) + 3 (x - 1)
Answer:
-25/3, or - 8 1/3
Step-by-step explanation:
many steps
2/3 + - (6+3x)/1 +3 (x-1)
- (6+3x)/1 *3/3* 2/3+ -(6+3x)/1 * 3/3 + 3 (x-1)
- (6+3x/1* 3/3* 2/3+ -(6+3x)*3/3 +3(x-1)*3/3
2-(6+3x)*3+3(x-1)*3/3
2+ (-1*6 - (3x)0 * 3+3 (x-1)*3/3
-1*6*2+(-6-(3x))*3+3(x-1)*3/3
3* -1 *2 + (-6-3x) *3+3 (x-1) *3 / 3
3*-1 * 2+(-6-(3x)) *3+3(x-1)*3/3
2-6*3x*3+3(x-1)*3/3
-6*3*2-18-3x*3+3(x-1)*3/3
3*-3*2-18-9x+3(x-1)*3/3
Which values should you plot to show a linear relationship?
Month Population
Log(population)
1
1400
3.146
2
2600
3.415
3
4700
3.672
4
9000
3.954
5
17000
4.230
6
32000
4.505
O A. "Population on the x-axis and "Log(population)" on the y-axis.
O B. "Month" on the x-axis and "Population" on the y-axis.
w
O C. "Month" on the x-axis and "Log(population)" on the y-axis.
O D. "Log(population)" on the x-axis and "Month" on the y-axis.
Answer:“ C ”
“month” on the x axis and “log” on the y axis
Please HELP FAST!!!!
Answer: b
Step-by-step explanation:
x-1 = 9
one step equation
Answer:
x=10
Step-by-step explanation:
x-1 = 9
add 1 on both side
x-1+1=9+1
x=10
Answer:
The answer would be 10
Step-by-step explanation:
1) Add 1 to both sides.
[tex]x = 9 + 1[/tex]
2) Simplify 9 + 1 to 10.
[tex]x = 10[/tex]
Hence, the answer would be 10.
x = 10
Is this a Percent Increase or Decrease Problem?
Kemyah bought a necklace for $260 that was marked
up by 30%.
Answer:
increase
Step-by-step explanation:
....................
Answer:
Percent Increase
Step-by-step explanation:
Percent Increase because if the necklace was bought for $260, and was marked up by 30%, it means it was originally a lower price, that was multiplied by 130%.
Explanation by algebra:
x + 0.30x = 260
1.3x = 260
x = 260/1.3
x = 200
The necklace was originally $200, and it was marked up by 30$, making it $260.
The five members of the Roberts family went to a high school soccer game. The total cost was $44.
They paid $10 less because they used a $10 coupon, how much was the cost per person?
Answer:
%6.8
Step-by-step explanation:
The five members of the Roberts family went to a high school soccer game. The total cost was $44.
They paid $10 less because they used a $10 coupon, how much was the cost per person?
members in the family = 5
total cost = $44
cost per person = 44/5
= $8.8
Now, they got $10 coupon so they paid $10 less.
therefore,
New total cost = $44-$10
= $34
New per person cost = $34/5
= $6.8
Answer:
they paid $8.80 cents per person without coupan but with coupon they paid $6.80
Step-by-step explanation:
i divied 44 by 5 to get $8.80 without cupon but woth coupan is subracted 34 divied by 5 and got $6.80.
ILL GIVE THE BRAINLIEST pls help me with this question just tell me which one is the right answer you can show your work if you want to you don't have to EVERYTHING IS IN THE PICTURE PLS HELP DUE TODAY
Answer:
ans is 504m²
Step-by-step explanation:
given = side of square=18m
height of triangle=12m
formula= surface area of square + surface area of 4 triangles
surface area of square = 4 × length
= 4×18
=72m²
surface area of triangle = 1/2×base ×height
= 1/2×18×12 ( the base lies on the side of the squre so the base is also 18m)
= 108m²
therefore, surface area of 4 triangles = 4×108=432m²
therefore the surface area of the given figure= surface area of aquare + surface area of the 4 triangles
surface area of square= 72 +432
=504m²
Write the recurring decimal 0.25 as a fraction in its simplest form
Answer:
1/4 because 25% is a quarter.
a ribbon is 4m long. how many pieces each of 30cm long can be cut from the ribbon
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Answer:
13
Step-by-step explanation:
4 m is 400 cm, so the number that can be cut is ...
(400 cm)/(30 cm/piece) = 13 1/2 pieces
13 pieces can be cut that are 30 cm long.
Answer:
13 whole pieces
Step-by-step explanation:
4m=400cm
400cm÷30cm=13.333333
you can't get 0.33333333(goes on forever) of a ribbon so its 13
hope this helps:)
If there are 36 boys and 48 girls in a room, fill out all of the possible ratios of boys to girls that could be made.
Answer:
ans
Step-by-step explanation:
possible ratios are 3:4,9:12 and 18:24
Mark me as a brain list please
Answer:
Step-by-step explanation:
12:9
8:6
4:3
16:12
24:18
48:36
HELP THIS IS DUE
Solve the linear equation and figure out whether it’s one solution, infinite or no solution include steps
3/4x -7 = 3 (1/6x +1)
Answer:
Includes Steps
Step-by-step explanation:
3/4x-7 =3(1/6x+1)
3/4x-7=3/6x +3
1/4x=10
x=40
Click the score on the graph where you think the
balancing point would be for this data.
Answer:
The balancing point is 23
Step-by-step explanation:
Given
The above graph
Required
Determine the balancing point
This simply means that we calculate the mean.
From the above graph, we have:
[tex]\begin{array}{cc}x & {f} & {21} & {3} & {22} & {5} & {28} & {1} & {29} & {1}\ \end{array}[/tex]
So, the mean is:
[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]
[tex]\bar x = \frac{21*3+22*5+28*1+29*1}{3+5+1+1}[/tex]
[tex]\bar x = \frac{230}{10}[/tex]
[tex]\bar x = 23[/tex]
Hence, the balancing point is 23
2. Use the distributive property to write an expression that is equivalent to 5(-2x-3)
Answer:
-10x-15
Step-by-step explanation:
So first we start off with 5(-2x-3)
Next, we distribute the 5 to the -2x to get -10x.
Next, we distribute the 5 to the -3 to get -15.
Therefore,
-10x-15 is correct
Answer:
-10x-15
Step-by-step explanation:
It's 10x-15, because you just need to simplify it.
It is the same thing as (5 x (-2x)) - (5 x 3), if you use the distributive property.
that is the same as -10x-15
Can any body help me and no links
Answer:
C
Step-by-step explanation:
7.67 is greater than 7.66666...
In the spinner below, what is the probability of landing on 5?
A.2/6
B.1/4
C.1/8
D.1/12
Solve the equation
16x2 + 4x + 1 =0
Answer:
X= -33/4
Step-by-step explanation:
Can someone tell
Me how to do this
Suppose the probability of two people in your class having the same birthday as 0.50 what are the odds of two people having the same birthday
Answer:
99.9%
Step-by-step explanation:
can anyone help me please
In a bag are 3 red, 9 blue, 2 yellow and 3 green marbles. If you draw out a marble at random, what the probability that you will draw a blue marble? P(blue)
Question 2 options:
3/17
9/17
2/17
14/17
Answer:
9/17
Step-by-step explanation:
there are 17 marbles in total 9 of them are blue therefore, 9/17 is the correct answer
1 1/4 x 1 1/3 plsss help
Answer:
exact form: 5/3
decimal form: 1.6 (6 is repeating)
mixed number form: 1 2/3
Step-by-step explanation:
Answer:
1 2/3
Step-by-step explanation:
1 1/4 x 1 1/3 = 5/4 x 4/3 = (5x4)/(4x3) = 20/12 = 5/3 = 1 2/3
a rectangular window is 36 inches long and 24 in wide. tammy would like to buy a screen for the window. because of the screen is based on the number of square feet the screen is use the fraction to find the area of the window in square feet.
Answer:
144 Sq
Step-by-step explanation:
The area of the rectangle formula is Length x Width. Given 4 ft and 3 ft, we can find the area. The screen would be 12 Sq. Feet since the question is asking for inches we must now convert this.
Determine the lateral and surface area of each triangular prism
Answer:
Step-by-step explanation:
lateral surface area=(sum of sides)×height
Total surface area =2×base area +lateral area
What is the equation of the circle, with center (4, 2) and radius 5 units?
Answer:
Step-by-step explanation:
Let us begin by just getting the equation of the circle first.
(x - 4)^2 + ( y - 2)^2 = 5^2
(x - 4)^2 + ( y - 2)^2 = 25
Now I'm going to graph that equation and discuss it here.
I have graphed the second equation above.Notice that the center is at (4,2) just as the question requested.A second point was put at (4,7). That was to show you that the radius is 5 units. You can calculate that it is 5 units by noticing that 7 - 2 = 5 So the distance from the center to (4,7) is 5 units which is the amount of the radius.Notice that the numbers representing the center have been reversed in sign. That is always done for a circle. The center's coordinates are always the negative of the coordinates given. You will be told why later.Determine the amplitude or period as requested . Amplitude of y = - 1/3 * sin x
Answer: amplitude and period are two different things. The amplitude is -1/3, and the period is 360 degrees.
Step-by-step explanation: to find the amplitude, you just look at what number is in front of sin. If there isn't one, an amplitude of 1 is implied (in this case. Keep in mind that different functions have different standards).
To find the period, you take term b (which is what comes after sin). In this case, b is 1 because there's no specific number there. Again, it's implied. Because this is sin and not tan, for example, you take 360/b=period. 360/1=360 degrees.