Answer:
$730.08
Step-by-step explanation:
22% = 0.22
1 - 0.22 = 0.78
Value after 2 years
v = 1200(0.78)²
v = 730.08
$730.08
f
Solve the equation + 22 = 17.
3
Answer: subtract 22 on both sides
Step-by-step explanation:
Now you would have -5 to solve take 3 and multiply on both sides to get f=-15
Hope this helps
Answer: -5
Step-by-step explanation:
Solve for 44.
4 4 = [?]
510
51
44/42
Angle 4 is an exterior angle which is equal to the sum of the two opposite inside angles.
The two opposite inside angles are given as 51 and 51
Angle 3 = 51 + 51 = 102 degrees.
Answer:
[tex] \displaystyle \angle4 = {108}^{ \circ} [/tex]
Step-by-step explanation:
the sum of the interior angles of a triangle is 180°
thus our equation is
[tex] \displaystyle {51}^{ \circ} + {51}^{ \circ} + \angle2 = {180}^{ \circ} [/tex]
simplify addition:
[tex] \displaystyle {102}^{ \circ} + \angle2 = {180}^{ \circ} [/tex]
cancel 102° from both sides:
[tex] \displaystyle \angle2 = {72}^{ \circ} \cdots \text{I}[/tex]
By straight line theorem we acquire:
[tex] \displaystyle \angle4 + \angle2 = {180}^{ \circ} [/tex]
substitute:
[tex] \displaystyle \angle4 + {72}^{ \circ} = {180}^{ \circ} [/tex]
cancel 72° from both sides:
[tex] \displaystyle \angle4 = {108}^{ \circ} [/tex]
hence, the measure of [tex]\angle 4[/tex] is 108°
13. Find the diagonal of a square if the lengths of its sides are each 16 mm. Round to the nearest tenth.
A. 16.0 mm
B. 45.3 mm
C. 22.6 mm
D. 32.0 mm
Answer:
[tex]C.\ 22.6mm[/tex]
Step-by-step explanation:
When one draws a diagonal in a square (a line connecting opposite corners), the halves of the square form (45-45-90) triangles. This means that the triangle follows the following ratio,
[tex](a)-(a)-(a\sqrt{2})[/tex]
Where (a) represents the legs or the sides adjacent to the right angle (angle with the box around it) and ([tex]a\sqrt{2}[/tex]) represents the hypotenuse or side opposite to the right angle.
Both legs have a length of (16)mm this is because all sides of a square are congruent, and the two sides adjacent to the right angle are both the sides of a square. One of them has the measure of (16) thus the other must have a measure of (16). This means that the diameter has the following value,
[tex]16\sqrt2}[/tex]
In numerical form,
[tex]\approx22.62[/tex]
don’t mind the pencil writing
Answer:
Length = 22 cm
Width = 4 cm
Step-by-step explanation:
Area = 88 cm²
Length = x + 7
Width = x - 11
Area of rectangle = length*width
Therefore:
(x + 7)(x - 11) = 88
x(x - 11) +7(x - 11) = 88
x² - 11x + 7x - 77 = 88
Add like terms
x² - 4x - 77 = 88
x² - 4x - 77 - 88 = 88 - 88
x² - 4x - 165 = 0
Factorize
x² - 15x + 11x - 165 = 0
x(x - 15) +11(x - 15) = 0
(x + 11)(x - 15) = 0
x = -11 or x = 15
Let's use the positive number.
Therefore:
Length = x + 7
Plug in the value of x
Length = 15 + 7 = 22 cm
Width = x - 11 = 15 - 11 = 4 cm
How does the author support his argument that people depend on the continued existence of coral reefs? A) by quoting experts and scientists who believe that humans cannot survive without the existence of coral reefs B) by claiming that human beings have a religious and social obligation to not harm, but encourage the growth of coral reefs C) by detailing science experiment results that showed conclusively that humans will be adversely affected if all coral reefs disappeared D) by asserting that the reefs contain many plants and animals used in medicines, chemicals, or other products that humans need to lead healthy lives
Answer:A) by quoting experts and scientists who believe that humans cannot survive without the existence of coral reefs
Step-by-step explanation:
Answer:
D) by asserting that the reefs contain many plants and animals used in medicines, chemicals, or other products that humans need to lead healthy lives
Step-by-step explanation:
did the usa test prep owo
If you sleep 6 hrs out of 24 hrs how much percent do you sleep?
Answer:
25%
Step-by-step explanation:
I hope this helps you!!
Answer:
You sleep 25% of the day.
Step-by-step explanation:
First you change the equation into a fraction:
6 hrs out of 24 hrs = 6/24
Then you can simplify this fraction:
6/24 = 1/4
Lastly, convert the fraction to a percent:
1/4 = 25%
Brainliest would be greatly appreciated!!!!
PLEASE HELP ME‼️‼️‼️‼️Find the measurement of the angle indicated for each trapezoid.
Answer:
Step-by-step explanation:
I want you to do the problem, but look and see what the inside degree has to add up to. 180? 360? then find it from there
What is the probability that the card is not a heart, GIVEN that the card is a face card??
Best answer gets brainliest!!
Answer:
.75
Step-by-step explanation:
Conditonal probability formula:
A|B= (A∩B)/B
let NH= Not heart
Let F= Face
NH|F= NH∩F/F
not hearth and face is 9
face is 12
9/12=.75
In square units!!! Real answers only please no links!!!!
solve each of the following systems, if possible. indicate whether the system has a unique solution, infinitely many solutions, or no solution.
a. 2x + 10y = 9
3x + 15y = 13
b. 2x + 8y = 5
3x + 12y = 7.5
c. y = 3-x
d. 5x -8y = -1
-5/2 x + 4y = 1/2
Answer:
(a) No solution
(b) Infinitely many solution
(c) No solution
(d) Infinitely many solution
Step-by-step explanation:
Solving (a):
[tex]2x + 10y = 9[/tex] --- (1)
[tex]3x + 15y = 13[/tex] --- (2)
Multiply (1) by 1.5
1.5 * [[tex]2x + 10y = 9[/tex]]
[tex]3x + 15y = 13.5[/tex] --- (3)
Subtract 2 and 3
[tex]3x - 3x + 15y - 15y = 13.5 - 13[/tex]
[tex]0 = 0.5[/tex]
The above is false; Hence, the system has no solution
Solving (b):
[tex]2x + 8y = 5[/tex] --- (1)
[tex]3x + 12y = 7.5[/tex] -- (2)
Multiply 1 by 1.5
1.5 * [[tex]2x + 8y = 5[/tex]]
[tex]3x + 12y = 7.5[/tex]
Subtract 2 and 3
[tex]3x - 3x + 12y - 12y = 7.5 - 7.5[/tex]
[tex]0 = 0[/tex]
The above implies that the system has infinitely many solutions
Solving (c):
[tex]y = 3 - x[/tex]
A second equation is required to solve for (c)
Solving (d):
[tex]5x - 8y = -1[/tex] --- (1)
[tex]-\frac{5}{2}x+ 4y = \frac{1}{2}[/tex] --- (2)
Multiply (2) by 2
[tex]-5x + 8y = 1[/tex] --- (3)
Add 1 and 3
[tex]5x - 5x -8y + 8y = -1 + 1[/tex]
[tex]0 = 0[/tex]
The above implies that the system has infinitely many solutions
ONLY ANSWER CORRECTLY
Select the correct answer.
Nathan had an infection, and his doctor wanted him to take penicillin. Because Nathan's father and paternal grandfather were allergic to
penicillin, Nathan has a 75% chance of having the same allergy. The doctor performed a skin test to see whether Nathan would react to it. The
test is 98% accurate. What is the probability that Nathan is not allergic to penicillin and the test predicts it?
OA. 0.005
ОВ,
0.015
Ос.
0.245
OD 0.735
Reset
Next
1071 Can Allen
app.edmentum.com/assessments delivery/ua/mt/launch/49001233/826708953/aHROCHM6Ly9mMiShcHAUZWR
ZXItdWkvdXNICI
B4MY3MDG5NTE 3de
US
10:21
DULL
Answer:
C 0.245
Step-by-step explanation:
have a good day/night sorry if wrong may i please have a bralliest
Which equation represents a horizontal line?
x=y+2
X-2
y = x+1
y=2
Answer:
y=2
Step-by-step explanation:
A horizontal line can be represented as y = a number.
Therefore D. y=2 is a horizontal line.
If the triangles below are similar, find the value of x. 42 х 11 22
9514 1404 393
Answer:
28
Step-by-step explanation:
Corresponding sides are proportional.
x/42 = 22/(22+11)
x = 42(2/3)
x = 28
Which statements are true about the graph of y s 3x + 1 and y 2 -x + 2? Check all that apply.
O The slope of one boundary line is 2.
O Both boundary lines are solid.
A solution to the system is (1, 3).
O Both inequalities are shaded below the boundary lines
O The boundary lines intersect.
===========================================================
Explanation:
Let's go through each of the answer choices to see which are true and which are false.
----------------
Choice A
The general slope intercept form is y = mx+b
m = slope and b = y intercept.
For y = 3x+1, the boundary line of the first inequality, the slope is 3.
For y = -x+2, the slope is -1.
None of the slopes are 2.
Choice A is false.
We'll use the concept of slope again in choice E.
----------------
Choice B
The "or equal to" part of the inequality sign is what directly determines the boundary line being solid. This is because we include points on the boundary.
Choice B is true.
----------------
Choice C
Plug x = 1 and y = 3 into the first inequality
[tex]y \le 3x+1\\\\3 \le 3(1)+1\\\\3 \le 3+1\\\\3 \le 4\\\\[/tex]
The last inequality is true, so the first inequality is true when (x,y) = (1,3). This makes (1,3) a solution to [tex]y \le 3x+1\\\\[/tex]
Repeat those steps for the other inequality given to us
[tex]y \ge -x+2\\\\3 \ge -1+2\\\\3 \ge 1\\\\[/tex]
which is also true, so that makes (1,3) also a solution to [tex]y \ge -x+2\\\\[/tex]
The point (1,3) is a solution to both inequalities at the same time, making it a solution to the system overall.
Choice C is true
----------------
Choice D
When y is fully isolated, the "less than" inequality indicates the shading is below the boundary. This is due to us considering points of y coordinates smaller than the boundary line. So we'll shade below the boundary for [tex]y \le 3x+1\\\\[/tex]
We don't do the same for [tex]y \ge -x+2\\\\[/tex]. Instead, we'll shade above the solid boundary line.
Choice D is false.
----------------
Choice E
If two lines have equal slopes, but different y intercepts, then we have parallel lines. Parallel lines never intersect.
If on the other hand, the slopes are different values, then the two lines will intersect somewhere on the xy grid. There will only be exactly one point of intersection.
The given system has boundary lines of slopes 3 and -1, for the first and second inequality respectively. Refer back to choice A. These differing slopes tell us that the boundary lines intersect somewhere.
Choice E is true
Let's go through all the options one at a time and look for the correct ones
Option 1: The slope of one boundary line is 2
We have 2 equations of lines, where the coefficients of are 3 and -1 respectively
because the coefficient of x denotes the slope of a line, we know that the lines have the slope 3 and -1, not 2
Hence, this option is Incorrect
Option 2: Both boundary lines are solid
In order for the boundary lines to be solid, the inequality must have an 'equal to', like ≤ (less than or equal to) or ≥ (greater than or equal to)
we can see that that's the case in our case and hence, this option is Correct
Option 3: A solution to the system is (1, 3)
To confirm this, we'll plug these coordinates into the given inequalities and see if it stands correct
y ≤ 3x + 1
3 ≤ 3(1) + 1
3 ≤ 4 which is correct because 3 is less than 4
Second equation:
y ≥ 2 - x
3 ≥ 2 - 1
3 ≥ 1
Which is also true because 3 is greater than 1
Now, we can say that (1 , 3) is a solution to the system because it satisfies both the equations and is Correct
Option 4: Both inequalities are shaded below the boundary lines
For an inequality to be shaded below the boundary line, it must have the ≤ inequality (in case of solid line) and < inequality (in case of dotted line)
because the second inequality listed includes the ≥ inequality, which was not mentioned above, it won't be shaded below
another way to think about it is that any 'greater than' inequality will shade everything above the line and the 'lesser than' inequality will shade below the line
which means that this option is Incorrect
Option 5: The boundary lines intersect
In order for the boundary lines to intersect, they must have have different slopes.
as we mentioned in the explanation of the first option, that the slopes of the lines is 3 and -1, which are different slopes
Therefore, this option is Correct
Hurry up please timed test
Answer:
the second option
hope this helps!
Write 123,000,000 as a multiple of a power of 10.
Answer:
1.23 x 10^8
hope this helps
have a good day :)
Step-by-step explanation:
Find the value of x in the isosceles triangle below.
need this ASAP! Please include an explanation if possible
Answer:
x = 64
Step-by-step explanation:
Remark
The markings on the triangle tell us that the sides are equal. There is no marking on the third side, so it is not equal to the other two. The important fact is the angles opposite equal sides are also equal. That means that the angle on the lower right is equal to x.
Equation
So you have two angles = to x.
x + x + 52 = 180 All triangles have interior angles of 180
2x + 52 = 180 Combine the like terms on the left.
- 52 -52 Subtract 52 from both sides
2x = 128 Divide by 2
2x/2 = 128/2
x = 64
Which of the following ordered pairs lies on the graph of y= tanx?
Answer: A/ first answer
Step-by-step explanation: it is that beacause it is paired to y=tanx
Please no troll include work
In parallelogram LMNO, the measure of N= 98° and the measure of 0= 82°. Find the measure of M.
Answer:
82
Step-by-step explanation:
180 - 98=82
The sum of two angels is 180
The two numbers rolled can be added to get a sum. Find P(sum is greater than 5).
A. Start Fraction 5 over 6 End Fraction
B. thirteen-eighteenths
C. Start Fraction 5 over 18 End Fraction
D. one-third
Answer:
8/9
Step-by-step explanation:
let the number rolled be two dies
When two dice are rolled, the total outcome will be 6² = 36
The pair that gives a sum of 5 are (1,4), (4,1) ,(2, 3), (3, 2). These gives 4 outcomes.
The pair that gives the sum greater than 5 = 36 - 4 = 32
Pr(sum is greater than 5) = Expected/Total outcome
Pr(sum is greater than 5) = 32/36
Pr(sum is greater than 5) = 8/9
Evaluate g(5) given. Help please
Answer:
[tex]g(5) = \frac{2}{3}[/tex]
Step-by-step explanation:
Piecewise function:
A piecewise function has a different rule depending on the input.
In this exercise:
If the input x is equal or less than two, the rule is [tex]|7 - x^2|[/tex], and if it is greater than 2, the rule is:
[tex]\frac{x+1}{2x-1}[/tex]
g(5)
The input is [tex]x = 5 > 2[/tex], so the rule is:
[tex]g(x) = \frac{x + 1}{2x - 1}[/tex]
At [tex]x = 5[/tex]
[tex]g(5) = \frac{5 + 1}{2(5) - 1} = \frac{6}{9} = \frac{2}{3}[/tex]
The answer is [tex]g(5) = \frac{2}{3}[/tex]
Which choice is equivalent to the quotient shown here for acceptable values of x?
√8^2 ÷ √3x
PLEASE NO LINK ANSWERS
Answer:
A) [tex]\sqrt{8x/3}[/tex]
Step-by-step explanation:
[tex]\sqrt{8x^{2} } /\sqrt{3x}[/tex]
[tex]\sqrt{8x^{2}/{3x}[/tex]
[tex]\sqrt{8x/3}[/tex]
Therefore, A is correct
Need help on this please tell me the answer
Answer:
your answere is 80 degrees
Step-by-step explanation:
the total of the inside is 180 so subtract 35 and 65 from 180 and you get 80
find the area of rectangle whose length and breadth are length is equals to 9.4 cm breadth is equals to 6.3cm
Answer:
area of rectangle=length ×breadth
=9.4cm×6.3cm
=59.22cm
X-y=6, x+y=8, zx+zy=20
Answer:
Step-by-step explanation:
x = 6 + y
6 + y + y = 8
y = 1
x - 1 =6
x = 7
zx + zy = z(x + y) = 20
z = 2.5
Answer:
X = 7
Y = 1
Z = 2/5
Step-by-step explanation:
7-1 = 6
7+1 = 8
2/5 × 7 + 2/5 = 20
One card is drawn from a regular deck of 52 cards. Find P (a red jack). Express your answer as a fraction and a percent, rounded to the nearest tenth of a percent.
Answer:
GIME SUM SKITTLES (Points)
Step-by-step explanation:
Answer:
Step-by-step explanation:
??.
This box can be packed with 48 unit cubes. The edge length of each
unit cube is 1 meter. What is the volume of the box?
11 cubic meters
11 meters
48 meters
48 cubic meters
134 Complete
Answer:
Volume of the box = 48 cubic meter
Step-by-step explanation:
Given:
Total number of cubes used = 48 cubes
Length of each cube = 1 meter
Find:
Volume of the box
Computation:
Volume of each cube = Side³
Volume of each cube = 1³
Volume of each cube = 1 cubic meter
Volume of the box = 48[Volume of each cube]
Volume of the box = 48[1 cubic meter]
Volume of the box = 48[1]
Volume of the box = 48 cubic meter
There are 44 rabbits. What is 44 rounded to the nearest 10?
Answer:
4
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
44 is closer to 40 than 50 because 44-40 = 4, 50-44=6 and 4<6
Factorise a^2-b^2 but it has no indecies
Answer:
(a+b)(a-b)
Step-by-step explanation: