Answer:
102 degrees
Step-by-step explanation:
m< CDA & m<CBA are both 78 degrees because they are both acute angles.
m<DAB & m<DCB are both 102 degrees because they are both obtuse angles.
Whenever you add 78 + 78 + 102 + 102 you get 360 degrees which is how much a four-sided figure should be.
Hope this helps!
Answer:
∠ DAB = 102°
Step-by-step explanation:
The consecutive angles of a parallelogram are supplementary.
∠ CDA and ∠ DAB are consecutive angles, then
∠ DAB = 180° - 78° = 102°
Can you help me with this? 5
Find The Slope Of The Relationship
Answer:
[tex]m=4[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (10, 40)
Point (15, 60)
Step 2: Find slope m
Substitute: [tex]m=\frac{60-40}{15-10}[/tex]Subtract: [tex]m=\frac{20}{5}[/tex]Divide: [tex]m=4[/tex]I need the answers to Numbers 1,2,3 and 4 please!!
PLEASE HELP WITH 19 AND 20, ONLY DESCRIBE THE TRANSFORMATIONS. I CAN GRAPH THEM. PLS HELP
2 points
Rheese bought a new car for $17.500. The value of the car is depreciating at a rate of 4.6%
each year. How much would the car be worth in 4 years?
$20,949.07
$79,515.07
$1,488.03
$14,495.44
$14,253.86
quation of the asymptote for the given
Doint
Given:
Initial value of new car = $17,500
Depreciation rate = 4.6%
To find:
The value of car after 4 years.
Solution:
The exponential decay model is
[tex]y=a(1-r)^t[/tex]
where, a is initial value, r is decreasing rate and t is time in years.
Substitute a=17500, r=0.046 and t=4 in the above equation.
[tex]y=17500(1-0.046)^4[/tex]
[tex]y=17500(0.954)^4[/tex]
[tex]y=17500(0.8283111)[/tex]
[tex]y=14495.44425[/tex]
[tex]y\approx 14495.44[/tex]
The value of car after 4 years is $14495.44.
Therefore, the correct option is D.
Help ? On this question and show me your working out so I know
Answer:
27.5 hr
Step-by-step explanation:
220÷8=27.5
Please help, I just started trig. Thanks!
Answer:
About 3.052 units
Step-by-step explanation:
I presume you won't need this explanation now, but just in case;
If we draw triangle MNK, as MN = NK we know is isosceles. Now let's draw an altitude to MK so that it splits MK into two congruent parts (5/2 = 2.5). Given M<N = 110 degrees the altitude would split the angle into two congruent angles as well (Coincidence Theorem)---- 110/2 = 55 degrees.
Now let's study the smaller triangles, and take one as an example. Remember sin(theta) = opp/hyp. Applying this we have theta as 55 degrees, the opposite side as 2.5, and the hypotenuse is yet to be found (MN);
sin(55°)= 2.5/MN,
x = 2.5/sin(55°) ≈3.052
Henry showed all the steps he took to solve the equation. 4 (negative one-half x + 7) + 5 x = 15 Step Simplified Expression 1 -Negative 2 x + 28 + 5 x = 15 2 3 x + 28 = 15 3 3 x = 15 4 x = 5 Sammy tried to verify the solution by substituting x = 5 back into the original equation. It did not result in a true statement. Which explains why Henry's solution is incorrect? Step 1 is wrong because the distributive property of equality was used incorrectly. Step 2 is wrong because the addition property of equality was used incorrectly. Step 3 is wrong because the subtraction property of equality was used incorrectly. Step 4 is wrong because the division property was used incorrectly.
Answer:
Step 3 is wrong because the subtraction property of equality was used incorrectly
Step-by-step explanation:
Henry showed all the steps he took to solve the equation.
The steps as show in the question is
4 (negative one-half x + 7) + 5 x = 15 Step 1
-Negative 2 x + 28 + 5 x = 15
Step 2
3 x + 28 = 15
Step 3
3 x = 15
Step 4
x = 5
Verifying the steps
The steps as show in the question is
4 (negative one-half x + 7) + 5 x = 15 Step 1
-Negative 2 x + 28 + 5 x = 15 (Distributive property of equality) This is correct
Step 2
3 x + 28 = 15(Addition property of equality this is correct)
Step 3
3 x = 15 (Subtraction property of equality) This is incorrect
The correct form is
3x +28 - 28 = 15 - 28
3x = -13
Step 4
x = -13/3
x = - 4.3333333333
Henry's solution is incorrect because Step 3 is wrong because the subtraction property of equality was used incorrectly.
x = -4.3
Answer:
c
Step-by-step explanation:
Pick an Dessert for every single day?
Answer:
I don't know what to pick! both look sooooo yummy =P. If i had to chosse i would pick the second one.
Step-by-step explanation:
please can you answer this ASAP
Answer:
x = 2
Step-by-step explanation:
[tex] \rm Solve \: for \: x: \\ \rm \longrightarrow 4 (3 x - 1) = 20 \\ \\ \rm Divide \: both \: sides \: of \: 4 (3 x - 1) = 20 \: by \: 4: \\ \rm \longrightarrow \dfrac{4(3x - 1)}{4} = \dfrac{20}{4} \\ \\ \rm \dfrac{4}{4} = 1: \\ \rm \longrightarrow 3 x - 1 = \dfrac{20}{4} \\ \\ \rm \dfrac{20}{4} = 5: \\ \rm \longrightarrow 3 x - 1 = 5 \\ \\ \rm Add \: 1 \: to \: both \: sides: \\ \rm \longrightarrow 3 x + (1 - 1) = 1 + 5 \\ \\ \rm 1 - 1 = 0: \\ \rm \longrightarrow 3 x = 5 + 1 \\ \\ \rm 5 + 1 = 6: \\ \rm \longrightarrow 3 x = 6 \\ \\ \rm Divide \: both \: sides \: of \: 3 x = 6 \: by \: 3: \\ \rm \longrightarrow \dfrac{3x}{3} = \dfrac{6}{3} \\ \\ \rm \dfrac{3}{3} = 1: \\ \rm \longrightarrow x = \dfrac{6}{3} \\ \\ \rm \dfrac{6}{3} = 2 : \\ \rm \longrightarrow x = 2[/tex]
6x + -2 =16 solve for x
Answer:
3
Step-by-step explanation:
+2 =18
18/6 =3
Answer:
x=3
Step-by-step explanation:
Move all terms that don't contain
x
to the right side and solve.
Which answer choice shows 38.412 rounded to the nearest half?
A. 38
B. 38.5
C. 39
D. 39.5
Answer:
A
Step-by-step explanation:
when u see all the numbers after the point they all are not equal to or > 5 so we don't add any number.
jacob’s graduation party costs $22.50 for decorations, plus an additional $5.50 for each attendee. At most, how many attendees can there be if Jacob budgets a total of $50 for his graduation party? Write an equation, solve, and justify your steps. Show your work.
Answer:
28.00 and yes he is still in his budget
Step-by-step explanation:
22.50
5.50
............
28.00
Answer:
Jacob can have up to 5 guests at his graduation party because 50 - 22.50 is 27.50 and 27.50/5.50 is 5.
Step-by-step explanation:
To start off you would subtract 22.50 from 50 leaving you with 27.50. From there you would account for the number of attendees. Since 27.50/5.50 equals 5 the maximum amount of guests Jacob can have at his graduation party is 5.
QUICK WILL MARK BRAINLIEST!!!
Jack was working on shooting free throws the ratio of the number of baskets made to the number of baskets missed was 10:6. Select ALL equivalent that represent the number of baskets jack made to the number of baskets jack missed
Answer:
The Second, Fourth, and Fifth points on the graph
Finn, Jeff, Kevin
Step-by-step explanation:
hopefully this helped, if not HMU and I will get a better answer
What is the slope of the line that passes through the point (-8,-4) and (4,-4)
Answer:
(x1y1)= (-8,-4)
(x2y2)= (4,-4)
here
slope= (y2-y1)/ (x2-x1)
= 0/ 12
= 0
Step-by-step explanation:
0
Find the total area of the shaded region in the composite figure, round to the nearest tenth.
Answer:
all my answers are in the comments btw
Step-by-step explanation:
PLEASE HELP!!!!!!!!!
Answer:
C. Graph C :)
Step-by-step explanation:
Is 13/12 greater then 6/5?
Answer:
yes
Step-by-step explanation:
Charlotte works in a calling center making appointments for a local lawn care service. She earns $40 each full workday plus an additional $2 for each appointment that she schedules. Today, Charlotte needs to earn at least $75. Write an inequality to describe this situation. In two or more complete sentences, describe the solution set of this inequality and what it means for Charlotte.
x = number of appointments
y = total amount earned in dollars
The total earnings equation is y = 2x+40
The 2x is from her earning $2 per appointment. If she makes x of them, then she earns 2x dollars. This is on top of the $40 from working the full day.
She wants to earn at least $75. This means she wants to earn $75 or more.
This means,
[tex]y \ge 75\\\\2x+40 \ge 75\\\\2x \ge 75-40\\\\2x \ge 35\\\\x \ge \frac{35}{2}\\\\x \ge 17.5[/tex]
Since x is the number of appointments, and we can't have a fractional number of appointments, we must round up to x = 18. This is the lowest number of appointments she can do and earn $75 or larger.
If x = 17, then
y = 2x+40 = 2*17+40 = 34+40 = 74
which is not 75 or larger
But if x = 18, then
y = 2x+40 = 2*18+40 = 36+40 = 76
which is larger than 75, so we've cleared the hurdle.
We can say the solution set is [tex]x \ge 18[/tex] where x is a whole number. So she could book x = 18, x = 19, x = 20, x = 21, etc as the number of appointments to reach her goal.
In summary, she must schedule at least 18 appointments to earn $75 or more.
Since she makes $2 for every appointment she makes we would need to use 40+2n so she would get $2 per appointment no matter how many appointments she makes. Also, we wouldn't use an equal sign because they didn't say she needed to earn exactly $75. They said she needed to earn "at least" $75. At least means equal to or greater than ≥. So the inequality would be 2n+40≥75. PRO TIP: Any time it asks you to write an inequality you will use either <, >, ≤, or ≥ not an =.An equation uses =, an inequality uses the other symbols
help with math question !!!
Answer:
The average rate of change of the function [tex]f(x)=x^2-2x-5[/tex] for interval [tex]-5\leq x\leq 6[/tex] is -1
Step-by-step explanation:
We are given function [tex]f(x)=x^2-2x-5[/tex] and we need to determine the average rate of change of the function for interval [tex]-5\leq x\leq 6[/tex]
The formula used to find average rate of change is: [tex]Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}[/tex]
We are given b=6 and a=-5
We need to find f(b) and f(a)
Finding f(b)
Putting x= 6 to find f(b)
[tex]f(x)=x^2-2x-5\\Put \ x=6\\f(6)=(6)^2-2(6)-5\\f(6)=36-12-5\\f(6)=19[/tex]
So, f(b)=19
Now finding f(a)
Putting x= -5 to find f(a)
[tex]f(x)=x^2-2x-5\\Put \ x=-5\\f(-5)=(-5)^2-2(-5)-5\\f(-5)=25+10-5\\f(-5)=30[/tex]
So, f(a)= 30
Finding average rate of change
[tex]Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}\\Average \ rate \ of \ change=\frac{19-30}{6-(-5)}\\Average \ rate \ of \ change=\frac{-11}{6+5}\\Average \ rate \ of \ change=\frac{-11}{11}\\Average \ rate \ of \ change=-1[/tex]
Average rate of change = -1
So, average rate of change of the function [tex]f(x)=x^2-2x-5[/tex] for interval [tex]-5\leq x\leq 6[/tex] is -1
Roger owes his father $15. He borrows another $25 from him. What integer represents the balance that he owes his father?
The integer -40 represents the balance that he owes his father if Roger owes his father $15. He borrows another $25 from him.
What is an integer?it is defined as the whole number it can be a negative whole number or a positive whole number for example 2, 4, 1, -8, 0, etc.
It is given that:
Roger owes his father $15. He borrows another $25 from him.
As we know, the number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.
The amount Roger owes = $15
Roger borrows = $25
Total debt = -15 + (-25)
Total debt = -$40
The above integer represents the balance that he owes his father.
Thus, the integer -40 represents the balance that he owes his father if Roger owes his father $15. He borrows another $25 from him.
Learn more about the integer here:
https://brainly.com/question/15276410
#SPJ2
A number increased by 5
Answer:
if number was represented by x it would be x+5
Step-by-step explanation:
Write three expressions that are equivalent to 2^6
Answer:
well 2^6 = 64 so 8x8, 32x2 and 16x4 would all be correct
8 equal sized boxes of trinkets are delivered to Jess home and all the trinkets are unloaded into one pile. Jess adds 14 of her own trinkto the pile. The trinket are then equally divided into 6 piles. Jess determines that each pile contains 9 trinkets. (Write an equation and solve the equation to find the number of trinkets that were originally in each of the 8 delivery boxes)
Answer:
now lemme answer this. u did the same to me.. came to my question and answered wrong i mean nothing.
revenge
Alex drives at a speed of 60 miles per hour.
How long will it take to drive 330 miles?
Answer:
5.5 miles
Step-by-step explanat
330 mph / 60 mph = 5.5 mph
Answer:
5 hours and 30 minutes
Step-by-step explanation:
2. Write an algebraic
expression to represent
two less than a
Answer:
a-2
Step-by-step explanation:
What is the answer for this: f(x)=-5+1
Answer:
1 * -4 = -5 + 1
Step-by-step explanation:
What is the binary number for 20
10100 hope it helped!
The parabola LaTeX: f\left(x\right)=x^2f ( x ) = x 2 was translated up by 4 units.
What is the function rule for the new transformed parabola LaTeX: g\left(x\right)g ( x )?
Group of answer choices
LaTeX: g\left(x\right)=4x^2 g ( x ) = 4 x 2
LaTeX: g\left(x\right)=\left(x+4\right)^2 g ( x ) = ( x + 4 ) 2
LaTeX: g\left(x\right)=x^2+4 g ( x ) = x 2 + 4
LaTeX: g\left(x\right)=\left(x-4\right)^2 g ( x ) = ( x − 4 ) 2
Answer:
C. g(x) = x²+4
Step-by-step explanation:
Given the parabola function f(x) = x²
Translating the function up by 4 means adding the constant value of +4 to the function since it's translated along the positive y axis. The resulting function g(x) will be x²+4
Hence the correct answer is g(x) = x²+4. Option C is correct.
Can someone please help me