Given :
One afternoon she dove -7.8 feet.
Her next two dives were each 2 1/8 feet deeper than the dive before it.
To Find :
The depths of her second and third dives.
Solution :
Depth of her second dive,
[tex]d_2=-(7.8+2\dfrac{1}{8})\\\\d_2=-(7.8 + \dfrac{17}{8})\\\\d_2 = -9.925\ feet[/tex]
Depth of her third dive,
[tex]d_3 = -(7.8 + 2\times 2\dfrac{1}{8})\\\\d_3 = 12.05\ feet[/tex]
Therefore, the depths of her second and third dives is -9.925 feet and -12.05 feet.
Hence, this is the required solution.
In quadrilateral CLAP, angle p is a right angle, LA = CP, and CL = AP. This information can be used to prove that CLAP is a
A- Trapezoid
B- Rhombus
C - Square
D- Rectangle
Which of the following equations is written in factored form?
O y= 2x² + 3x – 8
o y= 3 (2 + 5) (2 – 2)
o y=-2(1 + 5)2 – 2
O y = 3.2 - 5
Need help please!!
Answer:
Option B is correct option.
Step-by-step explanation:
We need to identify equations written in factored form.
Factored form: A factored form of expression is an expression broken down into a product of its factors.
In the given options A, C and D we don't have product of factors.
Only option B consists of product of factors.
So, Option B is correct option.
How many ways can a lamp be order if it comes in 12 colors and has a choice of 8 shades
Answer:
96
Step-by-step explanation:
This is the answer because:
1) 1 shade has 12 different colors
2) Therefore, we multiply 12 and 8 together
3) 12 x 8 = 96
Hope this helps!
Question 7 (10 points) Find the slopes of the lines and determine if they are perpendicular or not. y -2 = '/2 (x+4) y - 3 = -2(x + 5) m = m = Perpendicular? (yes or no)
which three lengths could be the lengths of the sides of a triangles
Answer:
it’s D
Step-by-step explanation:
A) 6 cm, 23 cm, 11 cm
B) 10 cm, 15 cm, 24 cm
C) 22 cm, 6 cm, 6 cm
D) 15 cm, 9 cm, 24 cm
first correct answer will get brainliest
Write the equation in point-slope form for the line that passes through the given point and has the given slope. (1, 2), slope 3
Answer:
y-y1 = m(x-x1)
y - 2 = 3(x-1)
y=3x-3+2
y=3x-1
Step-by-step explanation:
first you type down point slope formula
then you plug in the information you have point (1,2) 1 is x1 and 2 is y1 m is 3 because m = slope
then you have to distribute the 3 to the x and the -1 and then isolate y
(how to isolate the y) you must do the opposite of -2 which is +2 whatever you do on one side you have to do to the other
then you combine like terms 3x is alone and -3 +2 equals -1
there is your answer hope that works.
The average distance of the Earth from the Sun is 93 million miles. This distance is not constant due to the elliptical rotation of the Earth around the sun and can vary by approximately 1.6 million miles. Which equation can be used to represent the minimum and maximum distances between the Earth and the Sun? |x - target| = varies
Answer:
[tex]|x-93|=1.6[/tex]
Step-by-step explanation:
Let x be the Maximum and Minimum Sun Earth distance
The average distance between Earth and Sun is 93 million miles.
The distance varies by 1.6 million miles.
The equation to find the maximum and minimum value will be
[tex]|x-93|=1.6[/tex]
When modulus function is used one value of the function will be positive and the other will be negative.
[tex]x-93=1.6\\\Rightarrow x=93+1.6\\\Rightarrow x=94.6[/tex]
[tex]-(x-93)=1.6\\\Rightarrow 93-x=1.6\\\Rightarrow x=93-1.6\\\Rightarrow x=91.4[/tex]
So, the maximum and minimum Earth Sun distance is 94.6 and 91.4 million miles respectively.
The density of a certain material is such that it weighs 8 pounds for every 8.5 cups of
volume. Express this density in ounces per fluid ounce. Round your answer to the
nearest hundredth.
Answer:
1.88
Step-by-step explanation:
IMPORTANT IMPORATANT PLZZZ HELPPP
Answer:
Step-by-step explanation:
Your answer is the first picture (upper left)
(-2,8), (r, 4), m =-1/2
Answer:
[tex]r=6[/tex]
Step-by-step explanation:
Make an equation in point-slope form where:
the equation is [tex]y-y_{1}=m(x-x_{1})[/tex]m is the slopey1 and x1 are the corresponding coordinate points [tex](x_{1},y_{1})[/tex]Insert the known values:
[tex](-2_{x1},8_{y1})\\\\m=-\frac{1}{2} \\\\y-8=-\frac{1}{2} (x-(-2))\\\\y-8=-\frac{1}{2} (x+2)[/tex]
Use the distributive property:
[tex]-\frac{1}{2} (x+2)\\\\-\frac{1}{2}(x)-\frac{1}{2}(2)[/tex]
Simplify. Turn the 2 into a fraction by converting to the fraction [tex]\frac{2}{1}[/tex] , which is still equal to 2:
[tex]-\frac{1}{2}(2)\\\\-\frac{1}{2}*\frac{2}{1}[/tex]
Multiply across:
[tex]-\frac{1}{2}*\frac{2}{1} =-\frac{2}{2} =-1[/tex]
Re-insert into the equation:
[tex]y-8=-\frac{1}{2}x-1[/tex]
Solve for y. Add 8 to both sides (to isolate y using inverse operations):
[tex]y-8+8=-\frac{1}{2}x-1+8\\\\y=-\frac{1}{2}x+7[/tex]
Now insert the y value of the other point to find r (which will have the same value as x):
[tex](r_{x},4_{y})\\\\4=-\frac{1}{2}x+7[/tex]
Simplify the fraction by multiplying. Add 1 as the denominator for x:
[tex]-\frac{1}{2}*\frac{x}{1}[/tex]
Multiply across:
[tex]-\frac{1}{2}*\frac{x}{1}=-\frac{x}{2}[/tex]
Re-insert:
[tex]4=-\frac{x}{2} +7[/tex]
Subtract 7 from both sides (to isolate the variable using inverse operations):
[tex]4-7=-\frac{x}{2} +7-7\\\\-3=-\frac{x}{2}[/tex]
Multiply both sides by 2 (to undo the fraction using inverse operations):
[tex]2(-3)=2(-\frac{x}{2}) \\\\-6=-x[/tex]
Divide both sides by -1 (to make the variable positive, since two negatives make a positive):
[tex]\frac{-6}{-1} =\frac{-x}{-1} \\\\x=6[/tex]
Therefore, the value of r is 6.
:Done
Charlie has a $50 gift card to Smoothie World. He purchased the same smoothie 8 times and has $14 left on it. What was the price of each smoothie?
Answer:
Each smoothie was $4.5.
Step-by-step explanation:
We know that he has $50 to use, and after he used it he had $14 left. That means he used $36.
If you divide 36 by 8, you get 4.5
Hope this helped! :D
(-17, -13).(-16, -8)
What’s the slope through the line
Answer:
5
Step-by-step explanation:
[tex]\frac{-8--13}{-16--17} =\frac{5}{1}= 5[/tex]
(20, 20) (-18 -20)
What’s the slope of
Answer:
20/19
Step-by-step explanation:
[tex]\frac{20--20}{20--18} =\frac{40}{38}= \frac{20}{19}[/tex]
Over which interval does g have a negative average rate of change? Please answer ASAP!
Answer:
b
Step-by-step explanation:
when x is -2, y is 7
when x is -1, y is 5
we can see y is decreasing and it continues to decrease until x is 3
The average rate of change is -12/5 for the interval [-2, 3] which is the negative average rate of change option (B) is correct.
What is the rate of change?It is defined as the change in values of a dependent variable with respect to the independent variables.
It is given that:
A function g(x) is shown in the table.
As we know the average rate of change of a function can be given:
The average rate of change = change in y values/change in x values
For the interval [1, 5]
The average rate of change = (2-0)/(5-1) = 2/4 = 1/2
For the interval [-2, 3]
The average rate of change = (-5-7)/(3+2) = -12/5
For the interval [-5, 0]
The average rate of change = (3-0)/(0+5) = 3/5
For the interval [-4, -1]
The average rate of change = (5-2)/(-1+4) = 3/3 = 1
Thus, the average rate of change is -12/5 for the interval [-2, 3] which is the negative average rate of change option (B) is correct.
Learn more about the rate of change here:
brainly.com/question/12786410
#SPJ5
WHAT IS THE ANSWER TO B HOW MANY MILES PLEASE
Answer:
There is nothing attached
Step-by-step explanation:
No question given. What is the problem?
Check all like terms to 5x
Ох
0 -30x
5y
O-X
0 40x
5xy
Answer:
0x, 0-30x, 0-x, 0 40x
Step-by-step explanation:
HELPPPP.
Suppose a bird is 500 feet above the ground. It descends at a steady rate. After 10 seconds, it is 250 feet above the ground.
a) Write an equation that gives the height of the bird as a function of time. Be sure to define your variables!
b) After how many seconds will the bird land on the ground?
Answer:
500-10x=250
x=how much the bird descended in a second
the bird will land on the ground in another 10 seconds.
Step-by-step explanation:
the bird will land on the ground in 10 seconds since it descended 250 ft in 10 seconds so that is 25 ft per second. then do 250/25 and you get 10. that is how you know the bird will land on the ground in 10 seconds.
Answer:
a) [tex]h(t)=500-25t[/tex]
b) [tex]t=20[/tex]
Step-by-step explanation:
a)
Let [tex]h[/tex] = height above ground
Let [tex]t[/tex] = time
Because the bird descended down to 250 feet in 10 seconds with a steady rate, that means it descends 25 feet per second.
∴ [tex]h(t) = 500-25t[/tex]
b)
To find the time it takes until the bird reaches the ground, [tex]h[/tex] must equal [tex]0[/tex]:
[tex]0=500-25t[/tex]
[tex]25t=500[/tex]
[tex]t=20[/tex]
∴ It takes 20 seconds for the bird to reach the ground.
You want to sign up with Ryan's Gymboree. The registration fee is $50 and
the monthly fee is $35. Write an equation to represent the cost for Ryan's
Gymboree.
Please hurry
Answer:
35x=50
Step-by-step explanation:
this is the equation. Because its asking each month or monthly fee is $35. So its 35x=50
If z = −6 + 8i, what is the value of |z|?
2sqrt7
10
28
100
Answer:
10
Step-by-step explanation:
correct on edg
Answer:
10
Step-by-step explanation:
edge
In your opinion, which is better. Pancakes, or waffels?
What is the slope-intercept form equation of the line that passes through (2, 4) and (4, 10)? (5 points) a y = −3x − 2 b y = −3x + 2 c y = 3x + 2 d y = 3x − 2
Answer:
d
Step-by-step explanation:
What is the Zero of f ?
Answer:
(-1, 0)
Step-by-step explanation:
A line has a slope of Negative three-fourths and passes through the point (–5, 4). Which is the equation of the line?
Answer:
y=-3/4x
Step-by-step explanation:
the form is "y=mx(+/-b). m is slope. b is y-intercept.
another writing equations point and slope.
through (-5,3) slope -3/10
Answer:
m = 7/2
Step-by-step explanation:
Math problem.................................................................. Nah fam you ain't gonna answer it correctly also show work :)
Answer:
Ok
Step-by-step explanation:
Pleaseeee help :) and don’t answer unless you really know the answer please
Answer:
b) simplify the constant
c)isolate the variable by dividing the coefficient
Step-by-step explanation:
find the zeros of the polynomial x square-3 and verify the reationship between the zeros and the coefficient.
Answer:
√3, and -√3
Step-by-step explanation:
to find the zeros or roots of the polinomial x²-3 make it equal to zero and solve for x
x²-3=0 add 3 to both sides to isolate x
x² = 3 squareroot both sides
√x²= √3
x= ±√3 are the two zeros
The perimeter of rectangle WXYZ is 34 inches. A scale factor of 1.75 is used to dilate rectangle WXYZ to rectangle ABCD. What is the perimeter of rectangle ABCD?
Answer:
59.5 units
Step-by-step explanation:
A rectangle is a quadrilateral (has four side) in which opposite sides are parallel and the diagonals bisect each other. The perimeter of a rectangle is:
Perimeter = 2(length + breadth) = 2(l + b)
The perimeter of rectangle WXYZ is 34 inches. Therefore:
34 = 2(l + b)
l + b = 17
Rectangle ABCD is formed by dilating rectangle WXYZ by a scale factor of 1.75. Let l' = length of ABCD and b' = breadth of ABCD hence:
Length of ABCD = l' = 1.75l
Breadth of ABCD = b' = 1.75b
Perimeter of ABCD = 2(l' + b') = 2(1.75l + 1.75b) = 2(1.75)(l + b) = 3.5(l + b)
Perimeter of ABCD = 3.5(17) = 59.5 units
Answer:
59.5
Step-by-step explanation:
PLEASE HELP ASAP!!
A student is working two jobs over the summer to pay for a new car. The student gets paid $25 for each lawn that
is mowed (C)and $15 for each pool that is cleaned (y). The student wants to earn $750 to pay for a down payment
on a car.
• Create a model in standard form to represent this linear relationship.
• Identify the x-intercept. Explain what this means in the context of the problem.
• Identify the y-intercept. Explain what this means in the context of the problem.
Identify two combinations that are solutions to this equation. Explain what these combinations mean in the
context of the problem.
Answer:
Step-by-step explanation:
- 25x + 15y = 750
- (30, 0) are coordinates of x-intercept. If there is no pool-cleaning job student has to do 30 lawn-mowing.
- (0, 50) are coordinates of y-intercept. If there is no lawn-mowing job student has to do 50 pool-cleanings.
- ( 15 , 25 ) mean 15 lawn-mowing and 25 pool-cleanings
$25(15) + $15(25) = $750
$375 + $375 = $750
A boat traveled 27 miles in 2 hours. At this rate, how many miles will the boat travel in ½ hour?
Answer:
6.75 miles
Step-by-step explanation:
First, you need to find the unit rate by dividing 27/2. This equals 13.5. Then, multiply this by 1/2 to get 6.75 miles.
