Answer:
42.8 inStep-by-step explanation:
Step one:
given data
we are told that the expression for the depth of a lake after x years is given by
[tex]y=0.2x+42[/tex]
Required
The value of y when x= 4
Step two:
substitute the value of x in the expression to get y
[tex]y=0.2(4)+42\\\\y=0.8+42\\\\y=42.8\\\\[/tex]
After 4 years the depth will increase by 42.8 in
The area of a rectangular door is 21 ft. Sq. The border around the door is 20 feet. What is the length and width of the door? Use the factors of 21 to help you find the area of the door first.
Answer:
Length = 7 feet, and width is 3 feet.
Step-by-step explanation:
For the given rectangular door,
area = length x width
21 = length x width ................. 1
Also,
perimeter = 2 ( length + width)
20 = 2 ( length + width)
10 = length + width ............ 1
Given that the factors of 21 are required to get the are of the door.
Then, from equation 1;
21 = 7 x 3
And from equation 2;
10 = 7 + 3
So that, the length of the door is 7 feet and its width is 3 feet.
Please help me? Solve for x
Answer:
3
Step-by-step explanation:
15x
15
the 15 cancels out then you have
15/5 which is 3
Lisa wanted to study how the area of a rectangle changes with the length if it’s width is fixed. She computed the areas of several rectangles that have the same width and different lengths. She then employed the results and connected them with a line, as shown in the picture. The graph shows the area (in m2) versus the length (in m)
a. Domain:
b. Range
(Sorry I keep asking so many questions it’s because these questions are questions of things I have NEVER learned at all yet and it is a new module. When people explain and show me the work I write them in my book with the explanations as well when people put them down and that is how I start to learn this ahead of time.)
Answer:
Domain: interval: [0,∞], Words: All real numbers greater than or equal to 0, Inequality: x≥0.
Range: interval: [0,∞], Words: All real numbers greater than or equal to 0, Inequality: y≥0.
The domain and range of the function shown is
domain [tex]x\geq 0[/tex]
range [tex]y\geq 0[/tex]
Given :
The graph of the area of a rectangle changes with the length if it’s width is fixed
We need to find out the domain and range from the given graph
Domain is the set of x values on the graph
We can say the graph starts at x=0 and it goes up to infinity
So, domain is [tex]x\geq 0[/tex]
Range is the set of y values for which the function defined
Range is the set of y values on graph
When we look at y values , the graph starts at y=0 and it goes up to infinity
So, range is [tex]y\geq 0[/tex]
Learn more : brainly.com/question/17013026
A sign on the road says: "Speed limit, 60 miles per hour."Let s be the speed of a car. Write an inequality that matches the information on the sign .Could 60 be a value of s? Explain your reasoning.
Answer:
s ≤ 60 mphStep-by-step explanation:
Speed limit is given in order not to exceed it
Therefore the equation would be:
s ≤ 60 mphs = 60 is allowed as per the equation, since you are not exceeding this speed. As per the rule, s = 60 mph is the maximum speed at which the vehicle is permitted to travel.
Answer:
Step-by-step explanation: h
Consider the triangle.
Which shows the order of the angles from smallest to
largest?
A
22
12
B
angle angle B, angle C
angle B, angle A, angle C
angle B, angle C, angle A
angle C, angle A, angle B
16
С
Answer:
B. A. C. are the angle
Step-by-step explanation:
B is an acute angle a is a slightly bigger acute angle and c is a right angle. this was by me just looking at it so...
Answer:
angle AC= 12, angle CB= 16, angle BA= 22
Step-by-step explanation:
the numbers are between the angles
a person ate 2400 calories in a day. of these 36% came from fat. how many calories came from fat?
Answer:
864 is the answer
What is -2.63 + 3 1/4
Answer:
5.88.........................
.
Given A(2, 3), B(8, 7), C(6, 1), which coordinate will make line AB perpendicular to line CD?
D(9, 3)
D(4, 4)
D(3, 3)
D(8, 4)
Answer:
The correct option is;
D(4, 4)
Step-by-step explanation:
The given coordinates of the points are, A(2, 3) B(8, 7), C(6, 1), therefore, the coordinates of the point D that will make CD perpendicular to AB will have a slope = -1/m, where, m = the slope of the line segment AB
The formula for finding the slope, m, of a segment, given the coordinates of two points on the straight line segment (x₁, y₁), (x₂, y₂)
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Therefore, for, the segment AB, we have;
m = (7 - 3)/(8 - 2) = 4/6 = 2/3
m = 2/3
Therefore, to make the segment AB perpendicular to the segment CD, the slope of the segment CD will be -1/m = -1/(2/3) = -3/2
The equation of the segment CD in point and slope form is therefore;
y - 1 = -3/2×(x - 6)
y - 1 = -3·x/2 + 9
The standard form of the equation of the segment CD is therefore;
y = -3·x/2 + 9 + 1 = -3·x/2 + 10
y = -3·x/2 + 10
The point that satisfies the above equation is the point (4, 4) because;
4 = -3 × 4/2 + 10
The correct option is therefore, D(4, 4).
1.5 ounces cost 2.40
How my much will 5 ounces cost?
Answer:
12$
Step-by-step explanation:
2.4*5=$12
On a recent test, you were given the table displayed and
asked to write the rule that models it.
What should the rule be for the table?
O Subtract 6 from the x value to get the y value.
O Multiply the x value by 1/2 to get the y value.
O Multiply the x value by 1/4 to get the y value.
O Add 6 to the value to get the y value.
9514 1404 393
Answer:
A. Subtract 6 from the x value to get the y value.
Step-by-step explanation:
Sometimes, it works well to simply try the answers to see what works. Sometimes, it works better to use a point other than the first or second.
Using the last point (x, y) = (16, 10), we can try the rules:
subtract 6 from x: 16 -6 = 10 . . . this rule works
multiply by 1/2: 16×1/2 = 8, not 10 . . . doesn't work
multiply by 1/4: 16×1/4 = 4, not 10 . . . doesn't work
add 6 to x: 16 +6 = 22, not 10 . . . doesn't work
The only rule that works is ...
Subtract 6 from the x value to get the y value.
_____
Additional comments
You cannot always assume the table represents a linear function. In this case, all of the answer choices are linear functions, so that is a reasonable assumption. The x-values all have the same difference: 4. The y-values also all have the same difference: 4. So the slope of the line is 4/4 = 1, which tells you right away that "multiply by 1/2" and "multiply by 1/4" will be wrong.
The x-values are all greater than the y-values, so "add 6 to the x value" will not be correct. Since the slope is 1, the difference between x and y will be a constant, easily found from any table entry.
y = x + b . . . . equation of a line with a slope of 1
2 = 8 + b . . . . using the first table entry
-6 = b . . . . . . . subtract 8
Then ...
y = x - 6
Answer:
summing up what the other person said,
its a, i also did this on edge 2021,
so i can confirm:).
PLEASE HELP ME URGENT I BEG OF U WILL MARK AND 5 STARS
Answer:
the answer is (A)
Step-by-step explanation:
a complementary angle is 90 degrees
Part A
Select the correct choices to complete the sentence.
Jarvis bought 2 beach towels and 3 pairs of swim trunks at a retail store. Each beach towel costs $3 less than a pair of swim trunks. He spent a total of $79. Let s represent the cost of a pair of swim trunks.
Part B
Add the two expressions and set this sum equal to 79 to model the situation with an equation. Solve for s . What is the cost of one pair of swim trunks?
A) The equation that represents the cost of a pair of swim trunks is;
2(s - 3) + s = 79
B) The cost of a pair of swim trunks is; $28.33
How to solve Algebra Word Problems?Algebraic word problems are defined as questions that require translation of sentences to equations, and thereafter solving those equations.
Let the cost of one pair of swim trucks be s.
We are told that Each beach towel costs $3 less than a pair of swim trunks. Thus;
Cost of each beach trunk = (s - 3)
Jarvis bought 2 beach towels and 3 pairs of swim trunks at a retail store. Thus, we have;
2(s - 3) + s = 79
2s - 6 + s = 79
3s = 79 + 6
3s = 85
s = 85/3
s = $28.33
Read more about Algebra Word Problems at; https://brainly.com/question/28339921
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Given the following formula, solve for y
w=x-y/2 -z
A. y=2w+z-x
B.y=x-2(w+z)
C.y=x-(2w+z)
D.y=2(w+z)-x
Answer:
Step-by-step explanation:
w=x-y/2-z
y=-2w+2x-2z
The price of a technology stock was $9.61 yesterday. Today, the price rose to $9.72. Find the percentage increase. Round your answer to the nearest tenth of a percent. % Х $ ?
Answer:
-1.31979695431% Round to nearest tenth its 1.3%
Step-by-step explanation:
Are the given ratios proportional?
4
9
11
5
yes
Or No
Answer:
No, there is no sequence to be followed here.
Step-by-step explanation:
What is the pattern?
1, 4, 2, 8, 4, 16, 8, 32, ... _____
Answer:
multiply by 4 divide by 2
Step-by-step explanation:
Answer:
The pattern is multiply by 4 then divide by 2.
Step-by-step explanation:
1, 4, 2, 8, 4, 16, 8, 32, 16, 64, 32, 128... So on, So on
They are multiplying by 4 then dividing by 2, multiply by 4, divide by 2... so on, so on
Question 3 0.6 pts The following two right triangles are similar.If side CB = 33. side AB = 12, and side DE - 4. what is the length of side FE? A 12 D 4 E B F 33?
Answer:
EF = 11
Step-by-step explanation:
AD/DE = 3
Therefore, DC/3 = EF
33/3 = 11
How do you-
I cant think t-t
help
Answer:
4
Step-by-step explanation:
9x= 4x+20
5x=20
x=4
T is 375 miles from San Francisco to Los Angeles. On a map of California, the scale shows that 2 centimeters equals 10 actual miles. How far apart on the map are the two cities?
Answer:
75 cm
Step-by-step explanation:
the ratio of centimeter to miles is 2:10 or 1:5 (1 cm = 5 mi)
this ratio can be changed to a fraction (1/5)
so now we can set up this equation:
(1/5) = (x/375)
where x = cm on the map
if it makes it easier to understand:
(1cm/5mi) = (xcm/375mi)
now we solve for x:
375(1/5) = x
x = 375/5
x = 75 cm
The sides of a rectangle are scaled to be 1/4 of their original size
What describes the effect of the scaling on the surface area?
A. The surface area of the new prism is 1/4 as large as the original prism.
B. The surface area of the new prism is 1/8 as large as the original prism.
C. The surface area of the new prism is 1/16 as large as the original prism.
d. The surface area of the new prism is 1/24 as large as the original prism.
Joshua has a box of oranges. Three of the oranges are rotten. If 15% of the oranges are rotten, how many oranges are in the box?
I think its 15 ... because there are 12 good ones and 3 bad ones and if you add those it equals 15
Answer:
20 oranges
Step-by-step explanation:
The quadratic function f(x) has real coefficients. Given that f(3 - 2i) = 0, what must be the
other solution to the equation f(x) = 0 ?
Answer:
Option (C)
Step-by-step explanation:
Conjugate root theorem:
If (a - bi) is a root of a polynomial with real coefficients, then (a + bi) will be the other root.
By this theorem, if (3 - 2i) is one root of the quadratic function 'f', other root will be (3 + 2i).
Therefore, x = (3 + 2i) will be the other root.
Option (C) will be the answer.
Express 4 2/5% as a decimal and a fraction
ASAP pls
Answer:
0.044 11/250
Decimal Fraction
A recipe for a dozen iced cookies calls for 2 1/4 cups flour. Which can be used to determine the amount of flour needed to make 32 cookies?
Answer:
You can form a proportion to solve this problem.
Step-by-step explanation:
The proportion can look like this (there are other ways to write an equal proportion but this is just one of the ways you could go about it :)
[tex]\frac{2.25}{12}[/tex]=[tex]\frac{x}{32}[/tex]
12x=72
x=6 cups of flour
Hope this helps!! :)
Answer:
You can form a proportion to solve this problem.
Step-by-step explanation:
The proportion can look like this (there are other ways to write an equal proportion but this is just one of the ways you could go about it :)
=
12x=72
x=6 cups of flour
martha invested $41.25 into a company. if each share was worth $1 1/4 how many shares did Martha invest in the company
Answer: 33 shares
Step-by-step explanation:
Amount invested in the company = $41.25
Price per share = $1 1/4 = $1.25
To calculate the amount of shares that Martha invested in the company will be:
= Amount invested in the company/Price per share
= $41.25/$1.25
= 33 shares
Martha invested 33 shares in the company.
Evaluate 2^-5
A. -32
B. 1/32
C. -1/32
D. 32
Answer: B
Step-by-step explanation:
Graph the line 2y-6x+4=0 on Tell me the slope and y-intercept
sloper
y intercept=
Blank 1:
Blank 2:
Answer:
Slope: 3
Y-intercept: (0, -2)
Step-by-step explanation:
In the diagram, what is AC?
A. 6
B. 12.33
C. 10
D. 12
Answer:
C
Step-by-step explanation:
Plz mark brainliest!!!
Answer:
C. 10
Step-by-step explanation:
I just took the test on edmentum and got a 100%
If anyone plays pokemon go if you do put it in your answer
Answer:
I play Pokemon Go everyday! I play Pokemon Gooooo :)
Step-by-step explanation:
Answer: My teacher does
can someone help me:) thank you!
Answer:
C) 11
Step-by-step explanation:
It would need to be more than 5....and that is the only one.