Answer:
d:)
Step-by-step explanation:
a) x2 when x = 5
b) y2 when y = -2
c) z2 when z = 0.5
Answer:
A) 25
B) 4
C) 0.25
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Which expression are equal to the value of 3 in the number 14,397
Answer:
300
Step-by-step explanation:
This is a place value problem.
The given figure is;
14, 397:
Pronounced as;
Fourteen thousand, three hundred and ninety seven:
14, 397;
10 000 ten thousand
4000 four thousand
300 three hundred
90 ninety
7 seven
The place value of 3 is hundreds.
12. Complete the two-column proof.
Given: m 22 m23
Prove: m21-m24
Statements
Reasons
1. m 2 = m23
1.
Given
2.
2. m2 1 + m22 = 180°
m23 + 24 = 180°
3. m2 1 + m2 = m23 + m24
3.
4. m21 = 24
4.
Answer:
supplementary
vertical angles
sub
Step-by-step explanation:
The missing reasons for the given two column proof are respectively;
Reason 2; Definition of Supplementary angles
Reason 3; Substitution Property of Equality
Reason 4;Subtraction Property of Equality
How to complete the two column proof?From the two column proof, we are given that;
m∠2 = m∠3
Now, for m∠1 + m∠2 = 180°, we see that m∠1 and m∠2 are on a straight line and we know that angles on a straight line sum up to 180°. Thus, the reason is because they are supplementary angles.
Similarly, m∠3 and m∠4 are on a straight line and as such;
m∠3 + m∠4 = 180°
m∠1 + m∠2 = m∠3 + m∠4. This is true because of substitution property of equality.
Lastly, since m∠2 = m∠3, then it means that they will cancel out in the statement 3 and as such we now have;
m∠1 = m∠4. The reason is subtraction property of equality
Read more about two column proof at; https://brainly.com/question/1788884
Two numbers are graphed on the line below. Consider the inequality t
Answer:
-7<-3
Step-by-step explanation:
T=-7
R=-3
Suppose g(x) = f(x) + k. Identify a value of k that transforms f into g.
Answer:
[tex]k = 5[/tex]
Step-by-step explanation:
Given
[tex]g(x) = f(x) + k[/tex]
Required
Determine the value of k
First, we need to determine the equation of g(x)
Start by calculating the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where x and y are two corresponding values:
[tex](x_1,y_1) = (1,1)[/tex]
[tex](x_2,y_2) = (0,-3)[/tex]
The slope (m) is:
[tex]m = \frac{-3- 1}{0 - 1}[/tex]
[tex]m = \frac{-4}{- 1}[/tex]
[tex]m = 4[/tex]
The equation is calculated using:
[tex]y - y_1 = m(x - x_1)[/tex]
Where
[tex]m = 4[/tex] and [tex](x_1,y_1) = (1,1)[/tex]
[tex]y - 1 = 4(x - 1)[/tex]
[tex]y - 1 = 4x - 4[/tex]
Make y the subject of formula
[tex]y = 4x - 4 + 1[/tex]
[tex]y = 4x - 3[/tex]
So:
[tex]f(x) = 4x - 3[/tex]
Next, we determine the equation of f(x)
Start by calculating the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where x and y are two corresponding values:
[tex](x_1,y_1) = (-1,-2)[/tex]
[tex](x_2,y_2) = (0,2)[/tex]
The slope (m) is:
[tex]m = \frac{2- (-2)}{0 - (-1)}[/tex]
[tex]m = \frac{2+2}{0+1}[/tex]
[tex]m = \frac{4}{1}[/tex]
[tex]m = 4[/tex]
The equation is calculated using:
[tex]y - y_1 = m(x - x_1)[/tex]
Where
[tex]m = 4[/tex] and [tex](x_1,y_1) = (-1,-2)[/tex]
[tex]y - (-2) = 4(x - (-1))[/tex]
[tex]y + 2 = 4(x +1)[/tex]
[tex]y + 2 = 4x +4[/tex]
Make y the subject of formula
[tex]y = 4x + 4 - 2[/tex]
[tex]y = 4x + 2[/tex]
So:
[tex]g(x) = 4x + 2[/tex]
Recall that
[tex]g(x) = f(x) + k[/tex]
Make k the subject
[tex]k = g(x) - f(x)[/tex]
Substitute values for g(x) and f(x)
[tex]k = 4x + 2 - (4x - 3)[/tex]
[tex]k = 4x + 2 - 4x + 3[/tex]
[tex]k = 4x - 4x+ 2 + 3[/tex]
[tex]k = 5[/tex]
The transformation that maps f into g is a translation transformation,
involving the addition of k to the value of f(x).
The value of k that transforms f into g is; k = -5Reasons:
Points on the graph of g(x) are; (0, -3) and (0, 1)
[tex]\mathrm{The \ slope \ of \ the \ graph \ of \ g(x)} =\dfrac{-3 - 1}{0 - 1} = 4[/tex]
The equation of g(x) is; y - (-3) = 4·x, which gives;
y = 4·x - 3
The y-intercept = -3
Points on the graph of f(x) are; (-1 -2) and (0, 2)
[tex]\mathrm{The \ slope \ of \ the \ graph \ of \ f(x)} =\dfrac{-2 - 2}{-1 - 0} = 4[/tex]
The equation of f(x) is; y - (-2) = 4·(x - (-1)), which gives;
y = 4·x + 4 - 2 = 4·x + 2
The y-intercept = 2
The slopes of the graphs of f(x) and g(x) are equal, therefore, f(x) ║ g(x)
The difference or the transformation that takes the y-intercept of f(x) to the
y-intercept of g(x) is; k = y-intercept(g(x)) - y-intercept(f(x)) = -3 - 2 = -5
Therefore, k = -5
Which gives;
g(x) = f(x) - 5
The value of k that transforms f into g is; k = -5
Learn more here:
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https://brainly.com/question/10049947
In the diagram below, segments RS and RT intersect line m at points T and S, respectively.
Which of these statements is true?
Triangle RST is an isosceles triangle.
Triangle RST is a scalene triangle.
Triangle RST is a right triangle.
Triangle RST is an equilateral triangle.
Answer:
RST is an isosceles triangle
Step-by-step explanation:.
Required
Determine what type of triangle, is RST.
First, we need to determine the angles in RST
Angle on a straight line is 180°.
So, if <mTS = 130°
Then,
<STR = 180° - 130°
<STR = 50°
Similarly,
<TSR = 180° - 130°
<TSR = 50°
The sum of angles in a triangle is 180°.
So:
<TSR + <STR + <TRS = 180°
50 + 50 + <TSR = 180°
100 + <TSR = 180°
<TSR = 180° - 100°
<TSR = 80°
Hence, the three angles of the triangle are: 50°, 50° and 80°
When just two angles of a triangle are equal; such triangle is referred to as an isosceles triangle
Hence, option A answers the question.
Decrease 200 by 25%
Answer:
Step-by-step explanation:
200 by 50% is 100 so half of that agin would be your answer of 50
PLEASE HELP ME ASAP! I WILL GIVE BRAINLIEST!
Solve for X
Answer: pls see photo
Step-by-step explanation:
Maya needs to lease out a music studio to record her new album. The studio charges an initial studio-use fee plus an hourly fee for each hour in the studio. The total amount of money Maya would have to pay to use the studio for tt hours can be determined using the equation P=50t+100.P=50t+100. What is the yy-intercept of the equation and what is its interpretation in the context of the problem?
Answer:
The y intercept is 100. that means she needs to pay a $100 base fee for the rental.
What ordered pairs are the solutions of the system of equations shown in the graph below?
Can you complete the pattern? pls do. 101, 94, 87, 80, __, __, __ *
Answer:
73, 66, 59
Step-by-step explanation:
Each number has a value of 7 difference
Answer:
73, 66, 59
Step-by-step explanation:
What is the step by step process of multiplying matrices?
Answer:
sooo Step 1: Make sure that the the number of columns in the 1st one equals the number of rows in the 2nd one. ...
Step 2: Multiply the elements of each row of the first matrix by the elements of each column in the second matrix.
Step 3: Add the products.
hope I helped u
what is Algebraic expression
An expression is a number, a variable, or a combination of numbers and variables and operation symbols.
f(x) = x^3-15x^2+41x-15
¿Cuál es el área del siguiente polígono regular 12 lados que mide 6cm de lado y tiene una apotema de 5.2cm? *
Answer:
dont understand you if i did i would have helped
Step-by-step explanation:
A boat can travel 20 miles on 10 gallons of gasoline. How much gasoline will it need to go 34 miles?
Answer:
20 divided by 10 is 2 so for every 2 miles it travels it uses 1 gallon of gasoline. 20 + 14 is 34 so you divide 14 by 2 to get 7. then you add 10+7 to get 17. it will take 17 gallons of gasoline to go 34 miles
Step-by-step explanation:
NEED HELP QUICKLY 25 POINTS CALC MULTIPLE CHOICE
Answer:
The absolute maximum value of f on [-2, 4] occurs at x = 4.
Step-by-step explanation:
We know that the absolute maximum value of f(x) on this interval will occur at either a critical point or an endpoint. The critical points are any point where f'(x) is either equal to zero or not defined. Since f is a polynomial, f'(x) = 3x^2 - 6x is always defined, but is equal to zero at x = 0 and x = 2. We can check the value of f(x) at each critical point and endpoint:
f(-2) = -8
f(0) = 12
f(2) = 8
f(4) = 28
Therefore, f has an absolute maximum value of 28 on the closed interval [-2, 4], which occurs when x = 4.
The price of a pair of shoes increases from $62 to $81. What is the percent increase to the nearest percent?
Answer:
Step-by-step explanation:
$19 increase is about 31%
62*31%= 19.22
30% increase is $18.60 increase
In a recent training class only 7 of the 15 dogs were certified as service dogs.What percent of dogs became certified dogs?
Answer:
46.6%
Step-by-step explanation:
7/15 = x/100
Cross multiply, so the equation equals 15x = 700.
700 divided by 15 = 46.6
What is the sum of the exterior angles of a 54-gon?
Answer: The sum of the exterior angles of a 54-gon should be 360°.
Step-by-step explanation:
A polygon is a closed figure made up of straight lines like triangle (3-gon) , quadrilateral (4-gon) , square(4-gon), pentagon (5-gon) , octagon(8-gon) etc.
The sum of exterior angles of any polygon with n sides ( or n-gon ) is always 360 degrees.
A 54-gon is a polygon with 54 sides.
Therefore , the sum of the exterior angles of a 54-gon should be 360°.
Ellie has a 352-ounce bag of dog food. Her dog eats 24 ounces each day. How many full days will Ellie feed her dog before she needs another bag of dog food?
Answer: 14 days
Step-by-step explanation:
352/24= 14.66666667
So it can feed her dog for 14 full days
Current Attempt in Progress Present value. On the first day of your college career you decide that you want to make one deposit into a mutual fund so that exactly four years later you have enough to purchase a car costing $30000. Given that the account will generate a yield of 4.7% interest compounded monthly, what should your initial deposit be in order to have that big pot of money at graduation? Round the answer to two decimal places. Check your answer by plugging into initial equation to be sure you would not be short of $30000. _____________ $
Answer:
You will need to invest $24,867.52 at the beginning to reach the future value of $30,000.00.
Step-by-step explanation:
a) Data and Calculations:
Future value for the purchase of a car = $30,000
Interest rate = 4.7%
Monthly interest = 0.39167% (4.7%/12)
Period of interest = 48 months (12 * 4)
FV (Future Value) $30,000
PV (Present Value) $24,867.52
N (Number of Periods) 48.000
I/Y (Interest Rate) 0.392%
PMT (Periodic Payment) $0.00
Starting Investment $24,867.52
Total Principal $24,867.52
Total Interest $5,132.48
This recipe makes four portions of soup.
Navina follows this recipe but only wants to make enough for one portion of soup.
How much of each ingredient does she need?
Recipe: Serves 4.
180 g onions
100 g carrots
3 tablespoons of oil
600 g tomatoes
1.2 / vegetable stock
g onions
g carrots
tbsps oil
g tomatoes
Answer:
i need help
Step-by-step explanation:
See image below for problem, thank you :))
Given: ∠XAM = ∠YBM = 90° and AM = BM
To prove: BX ≅ AY
Proof:
In the triangle XAM and BYM:
∠3 = ∠4 [vertically opposite angles]AM = BM [Given]∠XAM = ∠YBM [Both are 90°]From the ASA rule of congruency, we can say that: ΔXAM ≅ ΔYBM
Since ΔXAM ≅ ΔYBM: We can say that XM ≅ MY [CPCT - Common Part of Congruent triangles]
In the Triangle AMY and XMB:
∠1 = ∠2 [vertically opposite angles]AM = BM [Given]XM = MY [Proved above]From the SAS rule of congruency, we can say that: ΔAMY ≅ ΔXMB
Since ΔAMY ≅ ΔXMB: We can finally say that BX ≅ AY [CPCT]
Hence Proved!
Final answers must be in standard form
(Y+8)(y-1)
Answer:
y^2 + 7y - 8
Step-by-step explanation:
(y + 8)(y - 1)
y^2 -1y + 8y - 8
y^2 +7y - 8
Answer:
y²+7y-8
Explanation:
y times y equals y²
y times -1 equals -1y
8 times y equals 8y
8 times -1 equals -8
-1y combines with 8y to make 7y
Put all values in decreasing order
Item 8
Calculator
Quadrilaterals LMNO and STUV are similar.
What is the value of x in inches?
6.6 in.
8.2 in.
22.9 in.
27.1 in.
Answer: 6.6
Step-by-step explanation:
Ayo!!
First you use the formula SF=N/O. The new is the big triangle. The Old is the small triangle. Next you tick the sides of each triangle. So lets say 4.1 will be 1 tick and 2.2 will be 2 ticks. Now the old triangle is done now to the new triangle. 12.3 is the 1 tick and x is the 2 ticks.
Lets set up the formula. N-/N--= O-/O--= 12.3/x and 4.1/2.2. Now u cross multiply. 4.1x=12.3*2.2=4.1x=27.06. Then you divide 4.1x by 4.1 and 27.06 by 4 aswell. 4.1x divided by 4.1 cancel each other out so you are left with 27.06 divided by 4.1 and that equals 6.6. So the answer is 6.6.
PS: If i did the new and old triangles wrong just reverse them and just do it like I explained it.
Hope this helped! :)
Answer:
6.6
Step-by-step explanation:
i took the test
In the Alt J song, In Cold
Blood, the singer sings a
number, 01110011. If this
number is in base 2, what
would it be in base 10?
01110011
two
Answer:
kjjhgyufg
Step-by-step explanation:
The value of 8 dimes and 5 pennies is what percentage of a dollar
Answer: 85% because 1 dime = 10 cent. 10x8=80
80+5=85
85% of 100
Step-by-step explanation:
The answers for the tables
Answer:
Shown in Step-By-Step, written in bold text.
Step-by-step explanation:
16) x : 1 y: -3
2 0
3 9
3x - 6
3(1) - 6 = -3
3(2) - 6 = 0
3(3) - 6 = 9
17) x: 1 y: -10
2 -12
3 -14
-2(x + 4) = -2x - 8
-2(1) - 8 = -10
-2(2) - 8 = -12
-(3) - 8 = -14
2
Find the slope and y-intercept from the following graph of a linear equation.
4
-5
-4
-3
- 2
N
2
3
4
5
-1
X
-2
-3
-
-5
Answer:
is 5
Step-by-step explanation:m
..