Answer:
Step-by-step explanation:
2 numbers : 10 and -10
Which is the value of the expression (StartFraction (10 Superscript 4 Baseline) (5 squared) Over (10 cubed) (5 cubed)) cubed? 1 2 8 10
Answer: B: 2
Step-by-step Explanation
Answer:
C, 8
Step-by-step explanation:
I took the test on edge 2021
the bearing of m from N is 70 degree what is the bearing gor N from M ?
Answer:
250°
Step-by-step explanation:
The bearing of N from M is 70° + 180° = 250°
Which comes first? Intermediate algebra, or algebra?
Answer
Algebra
Step-by-step explanation:
Intermediate is the same as algebra 2
Answer:
Step-by-step explanation:
Algebra
Which system of inequalities is shown?
Answer:
I'm 90 percent sure the answer is A.
Step-by-step explanation:
Another line “r” is perpendicular to the line 3y = 6x + 9. Find the gradient of the line "r" show your working
Answer:
Line r has a gradient of -1/2
Step-by-step explanation:
Perpendicular lines have a gradient of negative reciprocal to each other such that multiplying both the slopes give -1
=> Gradient of this line = 2
=> Gradient of line perpendicular to it = [tex]\frac{-1}{2}[/tex]
Multiplying both gradients:
=> 2 * [tex]\frac{-1}{2}[/tex]
=> -1
(SO They are perpendicular!)
There are 7 red cards and 13 blue cards
in a deck of cards. If Yuki randomly
selects a card from the deck, what is the
probability that it is a red card?
Answer:
7/20
Step-by-step explanation:
#red cards/total # of cards
7/(7+13)
7/20
Answer:
7/20
Step-by-step explanation:
Evaluate f(-4) for the function f(x) = 5 - X.
Answer:
9Solution,
[tex]f(x) = 5 - x \\ f( - 4) = 5 - ( - 4) \\ \: \: \: \: \: \: \: \: \: \: \: = 5 + 4 \\ \: \: \: \: \: \: \: \: \: = 9[/tex]
hope this helps....
Good luck on your assignment...
how to solve 4(7-3x)=7(4-2x)
Answer:
Step-by-step explanation:
First, you distribute the 4 and 7 to the stuff inside the parentheses 28 - 12x = 28 - 14x then add 28 to both sides -12x = -14x then add 14x to both sides 2x = 0 then divide both sides by 2 x = 0
Answer:
x=0
Step-by-step explanation:
4(7-3x)=7(4-2x)
Distribute
28 -12x = 28 -14x
Subtract 28 from each side
-12x = -14x
Add 14x to each side
-12x+14x = -14x+14x
2x=0
x =0
please help, i need to pass. which function represents the inverse of function f below?
Answer:
B
Step-by-step explanation:
If you switch the x and y you can solve for the inverse by solving for y like this:
x=3y+5
3y=x-5
y=(x-5)/3
which can be rewritten as B.
Please hurry
What function is represented in the table?
Answer:
B. 3(2^x)
Step-by-step explanation:
3(2^x) is the only function that yielded the given outputs when the inputs were plugged in.
A pizza shop charges customers based on the area of the pizza they order. The cost of a pizza in dollars can be represented by
S(r) - 0.12. where r is the radius of the pizza in inches.
What is the diameter of a pizza that costs $26.327 Round to the nearest hundredth.
Answer:
$26.300
Step-by-step explanation:
well if its 5 or more u round to the next whole number but if its 5 or under you just round whatever ur rounding into the same number but whole
A sequence is defined by the recursive formula f(n+) = f(n) -2. If f(1) =18 what is f(5)?
=====================================================
Work Shown:
Plug in n = 1 to find the next term
f(n+1) = f(n) - 2
f(1+1) = f(1) - 2 ... replace every n with 1
f(2) = f(1) - 2
f(2) = 18-2 .... replace f(1) with 18
f(2) = 16
We'll use this to get the next term. Plug in n = 2
f(n+1) = f(n) - 2
f(2+1) = f(2) - 2 ... replace every n with 2
f(3) = f(2) - 2
f(3) = 16 - 2 ... replace f(2) with 16
f(3) = 14
This process keeps going until we reach f(5)
Plug in n = 3
f(n+1) = f(n) - 2
f(3+1) = f(3) - 2
f(4) = f(3) - 2
f(4) = 14-2
f(4) = 12
and finally plug in n = 4
f(n+1) = f(n) - 2
f(4+1) = f(4) - 2
f(5) = f(4) - 2
f(5) = 12 - 2
f(5) = 10
The summary is basically we subtract 2 from each term to get the next term. The sequence is 18, 16, 14, 12, 10 which is arithmetic.
The line has a slope of 7/10 and a y intercept of 3/10. Find the equation of the line.
Answer:
y=7/10+3/10
Step-by-step explanation:
For the parallelogram ABCD the extensions of the angle bisectors AG and BH intersect at point P. Find the area of the parallelogram, if DG = GH, AB = 39 in, GP = 12 in.
Answer:
The area of a parallelogram is 360 in.²
Step-by-step explanation:
Where DG = GH
GP = 12 in.
AB = 39 in.
∠DAB + ∠ABC = 180° (Adjacent angles of a parallelogram)
Whereby ∠DAB is bisected by AG and ∠ABC is bisected by BH
Therefore, ∠GAB + ∠HBA = 90°
Hence, ∠BPA = 90° (Sum of interior angles of a triangle)
[tex]cos(\angle GAB) = \dfrac{AP}{AB} = \dfrac{AP}{39} = \dfrac{GP}{GH} =\dfrac{12}{GH}[/tex]
We note that ∠AGD = ∠GAB (Alternate angles of parallel lines)
∴ ∠AGD = ∠AGD since ∠AGD = ∠GAB (Bisected angle)
Hence AD = DG (Side length of isosceles triangle)
The bisector of ∠ADG is parallel to BH and will bisect AG at point Q
Hence ΔDAQ ≅ ΔDGQ ≅ ΔGPH and AQ = QG = GP
Hence, AP = 3 × GP = 3 × 12 = 36
[tex]cos(\angle GAB) = \dfrac{AP}{AB} = \dfrac{36}{39}[/tex]
[tex]\angle GAB = cos^{-1} \left (\dfrac{36}{39} \right )[/tex]
∠GAB = 22.62°
[tex]cos(\angle GAB) = \dfrac{36}{39} = \dfrac{12}{GH}[/tex]
[tex]GH = \dfrac{39}{36} \times {12}[/tex]
GH = 13 in.
∴ AD 13 in.
BP = 39 × sin(22.62°) = 15 in.
GH = √(GP² + HP²)
∠DAB = 2 × 22.62° = 45.24°
The height of the parallelogram = AD × sin(∠DAB) = 13 × sin(45.24°)
The height of the parallelogram = 120/13 = 9.23 in.
The area of a parallelogram = Base × Height = (120/13) × 39 = 360 in.²
Answer:
360 in2
Step-by-step explanation:
The figure ABCD is a parallelogram, so the side AB is parallel to the side DC, and that means the angle mBAG is equal the angle mHGP.
The angles mHGP and mAGD are vertically opposite angles, so mHGP = mAGD.
The angle mDAG is equal the angle mBAG, so mDAG = mBAG = mHGP = mAGD
The angles mDAG and mAGD are equal, so the triangle DAG is isosceles, that means the side DG is equal the side DA.
In the same way, we can find that the angle mCBH is equal the angle mBHC, so triangle BCH is isosceles, meaning that side BC (which is equal side AD) is equal side CH, so we have that:
DG + GH + HC = AB = 39
GH + GH + GH = 39
GH = 13
in the parallelogram we have the property:
mDAB + mABC = 180°
We have that mGAB = mDAB/2 and mABH = mABC/2, so using this information for the sum of internal angles of triangle APB, we have:
mGAB + mABH + mBPA = 180
mDAB/2 + mABC/2 + mBPA = 180
(180/2) + mBPA = 180
mBPA = 90°
If the triangle APB is a right triangle, we can find the cosine of the angle mHGP:
cos(mHGP) = GP / GH = 12 / 13
Then, we can find the sine of mHGP using:
sin(mHGP)^2 + cos(mHGP)^2 = 1
sin(mHGP)^2 + 144/169 = 1
sin(mHGP)^2 = 25/169
sin(mHGP) = 5/13
If we draw the height of the triangle GPH relative to the side GH, we have:
sin(mHGP) = height / GP
5 / 13 = height / 12
height = 60/13
The triangles GPH and APB are similar (using the case angle-angle), so we can use this relation to find the height 'h2' of the triangle APB:
height / (h2+height) = GH / AB
(60/13) / (h2 + (60/13)) = 13/39 = 1/3
180 / 13 = h2 + (60/13)
h2 = 120/13
Then the area of the parallelogram is:
Area = AB * h2 = 39 * 120/13 = 360 in2
A number, y, is equal to the difference of a larger number and 3. The same number is one-third of the sum of the larger number and 9. Which equations represent the situation? A. x + y = 3 and x minus 3 y = negative 27 B. x + y = 3 and x minus 3 y = negative 9 C. x minus y = 3 and x minus 3 y = negative 27 D. x minus y = 3 and x minus 3 y = negative 9
Answer:
D. x - y = 3 and x - 3 y = - 9
Step-by-step explanation:
The descriptions above describe the equation of choice D, so I pick this answer.
Answer:
D
Step-by-step explanation:
just took the test
Given y = (2x + 3)2, what is the standard form of the given quadratic equation.
Answer:
[tex]y=4x^2+12x+9[/tex]
Step-by-step explanation:
Perform the square of the binomial, combine like terms, and then write the remaining expression in decreasing order of powers of x:
[tex]y=(2x+3)^2\\y=(2x+3)\,(2x+3)\\y=4x^2+6x+6x+9\\y=4x^2+12x+9[/tex]
I need help pleassseee
Answer:
The length of the radius is 3cm.
Step-by-step explanation:
Given that a circle is inscribed in a square. The side of the circle touches the side of the square which is the diameter. So the diameter of circle is 6cm, in order to find it's radius, you have to duvide it by 2 :
[tex]radius = diameter \div 2[/tex]
[tex]radius = 6 \div 2[/tex]
[tex]radius = 3cm[/tex]
Answer:
[tex]6^{2} - 3^{2} \pi[/tex] = area of the black 7.725666
[tex]x^{2} - r^{2} \pi[/tex]
area of square - area of circle
the diameter of the circle is 6 and half that is the radius = 3
How many people are on both the golf team and the swim team?
11
6
5
3
Answer:
3 people
Step-by-step explanation:
3 people as per picture
Answer:
3 people's are on both the golf team and the swim team
What is the coordinate of point P that lies along the directed line segment from Q(2,5) to R7, 12) and partitions the segment in the ratio of 3 to 2?
Your answer.
0 (3, 42)
O(4.5, 8.5)
O (5,9.2)
O (5,7)
Clear answer
Answer:
Step-by-step explanation:B
(30 points)PLEASE HELP! LOVE Y'ALL SO MUCH THX! If x=3b and y= 2/6b+4 , what is y in terms of x?
(A) 2 x+4 (B) 1 x+2 (C) 2x (D) x+2 (E) 2x+4
Answer:
y=(1/9)x+4
Step-by-step explanation:
x=3b
b=(1/3)x
y=2/6(1/3)x+4
y=(2/18)x+4
y=(1/9)x+4
Answer:
y = 1/(x+2)
Step-by-step explanation:
x=3b and y= 2/(6b+4)
Rewriting the second equation by factoring out 2
y=2/ 2(3b+2)
We know that 3b = x
y=2/ 2(x+2)
Canceling the 2 in the numerator and denominator
y = 1/(x+2)
ANYONE HELP, WILL GIVE BRAINLIEST ANSWER
Write the following phrase as an algebraic expression and simplify if possible. Let x represent the unknown number.
Double a number, minus the sum of the number and two
Answer:
x - 2
Step-by-step explanation:
Rewrite this symbolically: "Double a number, minus the sum of the number and two"
Let x represent the unknown number.
Then: 2x - (x + 2), or 2x - x - 2, or x - 2
Penny sells knitted scarves for 12$ each. The cost of supplies to make each scarf is x dollars. How much profit will Penny make if she sells y scarves?
Answer:
If I'm guessing, you're supposed to write an equation. So the answer would be yx + 12y.
Step-by-step explanation:
Answer:
the answer is y(12-x)
Step-by-step explanation:
i took the text and it said i got it right hope i helped have a great day/night and so soorry if i get it wrong byee
THIS ONE IS URGENT I DON'T UNDERSTAND PLEASE HELP ME I WILL GIVE YOU BRAINLIEST/5 stars/Thanks/20 points please help me I would appreciate it!!! There are 2 questions please can you answer them!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Part A = 2
Part B = I'm unsure, sorry.
Step-by-step explanation:
Answer:
Part A= 2
Step-by-step explanation:
What is the value of [1.1]? –2 –1 0 1
Answer:
The answer is -2.
Step-by-step explanation:
Answer:
-2 :D
Step-by-step explanation:
Just did the test:)
Evaluate when a=-6, b= 5, C= -2:
a3 - b + 402
f
Select one:
stion
a. 109
O b. 205
O c. 81
O d. -205
Answer:
c 81
Step-by-step explanation:
Which statement about the figures shown below is true?
PLS HEP ASP BEST GETS FOLLOW AND BRAINLIEST
Ms. Costello borrows $5000 from a
bank that charges 9.25% interest per
year. What is her total amount due
after one year?
Answer: $5462.50
Step-by-step explanation:
Interest = 5000 x 9.25 / 100 = 462.50
Amount to be paid
= 5000 + 462.50
= 5462.50
A wheelchair ramp is 8.0 m long. The angle of inclination is 10°. Calculate the rise of
the ramp to the nearest tenth of a meter.
Answer:
The height of the ramp is 1.39 m.
Step-by-step explanation:
We have,
A wheelchair ramp is 8.0 m long
The angle of inclination is 10°
It is required to find the rise of the ramp.
Here, hypotenuse is 8 m and angle of inclination is 10°.
Using trigonometry to find it.
[tex]\sin\theta=\dfrac{x}{8}[/tex]
x is rise of the ramp
[tex]x=\sin(8)\times 10\\\\x=1.39\ m[/tex]
So, the height of the ramp is 1.39 m.
The average wage for an electrician in CA is $25.47/hour. That is 11% above the national average. What is the national average?
Answer:
$22.95/hour.
Step-by-step explanation:
It is given that the average wage for an electrician in CA is $25.47/hour. That is 11% above the national average.
Let as consider x be the national average.
11% above the national average is
[tex]x+\dfrac{11}{100}x=x+0.11x=1.11x[/tex]
The average wage for an electrician in CA is 11% above the national average. So,
[tex]1.11x=25.47[/tex]
Divide both sides by 1.11.
[tex]x=\dfrac{25.47}{1.11}[/tex]
[tex]x=22.945945...[/tex]
[tex]x=22.95[/tex]
Therefore, the national average is $22.95/hour.
Answer: 22.95
Step-by-step explanation:
12. Martina rents a room in her home to guests. She charges a $25 flat fee per night for one person. Additional guests are welcome to stay, but she charges $10 per person. She expects guests to check out by 10 a.m. and charges an extra $5 per hour for late checkouts. Select the linear equation that correctly represents how much Martina collects for one night of stay in her home.
A) c = 25 + 10p + 5h
B) c = 25 – 10p – 5h
C) c + 25 = 10p + 5h
D) c = 25 + 10 + 5
Answer:
Step-by-step explanation:
the answer is A
BECAUSE the fixed charged or the charged that is always there is 25 dollars plus and additional cost for 10 dollars per person plus additional cost depending on how many hours u stay past 10 am