Using the standard format of a perfect-square quadratic sum, it is found that the value that completes the expression is 169.
What is the standard format of a perfect-square binomial sum?It is represented by:
(a + b)² = a² + 2ab + b².
In this problem, we have that the expression is:
a² + 2ab + b² = h² + 26 + b².
Hence a = 1, 2ab = 26 -> b = 13, thus the value that completes the expression is:
b² = 13² = 169.
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PLEASE PLESE HELP ME WITH THIS!!!!
The new center is 5 units away from the original, hence we added 5 to the x-value.
If you notice the sides of the new triangle are twice the size of the original one, meaning that it was dilated by a scale factor of 2.
O parte din traseul Bușteni-Babele a fost parcurs de mai multi turiști astfel: in prima ora 1/3 din distanta, a doua ora 1/4 din distanta. Dupa cele doua ore le-au mai ramas de parcurs 5km. Care este distanta parcursa de turiști?
Answer:
7km
Step-by-step explanation:
[tex] \frac{1}{3} x + \frac{1}{4} x = \frac{4}{12} x + \frac{3}{12} x = \frac{7}{12} x \\ \\ \\ x - \frac{7}{12} x = \frac{12}{12} x - \frac{7}{12} x = \frac{5}{12} x \\ \\ \frac{5}{12} x = 5 - - - > x = 12[/tex]
[tex]12 \times \frac{7}{12} = 7[/tex]
One root of the equation "[tex]x^{2} -m^{2}x -m + 1 = 0[/tex]" (with unknown x) is the number "x1 = 1". Determine the other root "x2".
Answer:
0; 3.
Step-by-step explanation:
1) if to substitute x=1 into the given equation, it is possible to calculate the value of 'm':
1-m²-m+1=0; ⇔ m²+m-2=0; ⇒ m₁=-2; m₂=1;
2) if m=-2 and m=1, then the initial equation is:
x²-4x+3=0 or x²-x=0;
3) according to the item 3), the 2d root is:
x₂=3 or x₂=0.
Polly is a server at a
restaurant. A table spends $34
and leaves Polly an 18% tip.
What is Polly's tip?
Answer:
They gave her a $6.12 tip
Step-by-step explanation:
You have to multiply the total ($34) by the Percent (18% = 0.18), and then you will have your final answer.
HELP PLEASEE ITS EASY!!!!!!!!!
Answer:
4 inches
Step-by-step explanation:
The scale is 1:3 based on that info, x:12
There is a 4-factor increase, meaning x=4
The Zoo is 16 Inches from the school
A researcher is studying the growth of bacteria. He starts eith 280 of the bacteria. It grows continuously at a rate of 6% per hour. How many bacteria will there be in 16 hours?
What’s the inverse of the function?
f(x)=3^x+1
[tex]y= f(x) = 3^x+1\\\\\text{Replace x with y and solve for y}\\ \\~~~~~~x=3^y+1\\\\\implies 3^y = x-1\\ \\\implies \ln(3^y) = \ln(x-1)\\\\\implies y \ln 3= \ln(x-1)\\\\\implies y= \dfrac{\ln(x-1)}{\ln 3}\\\\\implies f^{-1}(x) = \dfrac{\ln(x-1)}{\ln 3}[/tex]
Is 3,978×-32 positive or negative
Answer:
negative
Step-by-step explanation:
A positive times a negative is a negative
Mrs. Reynolds has $153. She buys a bicycle for $105.
Then, she finds $20 at the bottom of her purse.
How much money does she have now? Use the bar diagrams to help you.
Step 1:
Step 1: a bar diagram shows 105 and m, the money left after buying a bike. Together 105 and m is equal to 153.
Step 2:
Step 2: a bar diagram shows that 20 and m is equal to s, the money now.
Enter your answer in the box.
Mrs. Reynolds has $
now.
Answer:
$68
Step-by-step explanation:
Mrs. reynolds now has 68 dollars. 153-105=48. 48+20=68
Answer:
She has $68 dollars remaining
Step-by-step explanation:
(no bar diagram needed, lol jk.)
anyways she started off with 153, right?
She then buys a bike worth $105; thats -$105 which leaves here with $48 dollars
Then ooo its her lucky day, she finds a $20 dollar bill, you add it to $48 (+$20) , now she has $68 dollars in total.
<3
Suppose that you are a member of the typical American household and your family carries a credit card debt of
$7942. Use the TVM (Time-Value-of-Money) Solver to model a few credit card scenarios. (Note: Use months
rounded to the nearest hundredths on all calculations.)
1. If the average annual interest rate is 17.11%, how many months will it take the average American family
to pay off their debt of $7,942 if they make a minimum payment of $175 each month and no additional
purchases are made?
2. How much interest did you pay during this time?
1. At an annual interest rate of 17.11%, an average family needs 74 months to settle $7,942 at a $175 monthly payment.
2. The total interest is $4,932.10.
What is a monthly payment?The monthly payment is the amount paid each month to settle the loan within its maturity period.
The monthly payment can be computed using an online finance calculator.
We can also determine the period of payment using the same online finance calculator as below.
Data and Calculations:I/Y (Interest per year) = 17.11%
PV (Present Value) = $7,942
PMT (Periodic Payment) = $-175
FV (Future Value) = $0
Results:
N = 73.566
Sum of all periodic payments = $12,874.10
Total Interest = $4,932.10
Thus, while it will take 74 months for the average American family to pay off the loan of $7,942 with a monthly payment of $175 at 17.11% interest, the total interest paid is $4,932.10.
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What is the area of the shaded sector of Point B below?
Answer:
A) 175π / 9 squared inches,
Step-by-step explanation:
Radius = 10 inches
AB = BD = 10 = radius
Triangle ABD is isosceles
Angle DAB = Angle BDA = 35 degrees,
Base angles theroem
35 + 35 + x = 180, angles in triangle
x = 180 - 70
x = 110 degrees
Angle DBC is supplementary with ABD
110 + x = 180
x = 70
70 degrees is angle for the sector
70 is 70/360, 7/36 of the circle
The area will also be 7/36 of the circle area
Area of circle = πr^2
Area = 100π
Area of sector = (100π * 7) / 36
Area of sector = 700π / 36
Simplified area = 175π / 9 squared inches
The endpoints of AB are A(4,3) and B(1,1). What are the coordinates of A’’ after the image has been translated (x,y)—> (x-5,y-1) and rotated 180 degrees about the origin?
Answer:
A"(1, -2)
Step-by-step explanation:
In addition to the translation transformation given, you are asked to transform the figure further by rotating it 180° about the origin. The translation for that is ...
(x, y) ⇒ (-x, -y)
Then the composition of the two transformations is ...
(x, y) ⇒ (-(x -5), -(y -1)) = (-x +5, -y +1)
__
Applied to the given point(s), we have ...
(x, y) ⇒ (-x +5, -y +1)
A(4, 3) ⇒ (-4 +5, -3 +1) = A"(1, -2)
B(1, 1) ⇒ (-1 +5, -1 +1) = B"(4, 0)
The coordinates of A" after translation and rotation are (1, -2).
3/5 of the students in Süd- class are in chorus. If there are 25 people in her class, how many are in the chorus?
Find the slope of the line if it exists
Answer:
m = 7/6
Step-by-step explanation:
Find coordinates of two points:
(-2,3)
(-8,-4)
Slope formula =
y1 - y2 / x1 - x2
So...
-4-3 / -8 -- 2
-7 / -6
7/6
remember brainliest and have a great day!
what is 3/4 of 1/3
Reduce your answer to simplest form.
Answer:
1/4.
Step-by-step explanation:
3/4 of 1/3
= 1/3 * 3/4
= 3/12
= 1/4
Thomas works 12 days out of every month.
1. Does Thomas work the same percent of days each month? Explain.
Answer:
no (see below)
Step-by-step explanation:
Not all of the months have the same amount of days therefore Thomas does not work the same percentage of days each month.
What is the area of a circle with a diameter of 32?
Answer:
How much is 32 cm in diameter?
Centimeters to Inches table
centimeters inches
32cm 12.60
33cm 12.99
34cm 13.39
35cm 13.78
Step-by-step explanation:
Answer:
A
≈
804.25
I am sure just trust me ;)
Write 19% as a fraction.
Answer:
19/100
Step-by-step explanation:
Answer:
19/100
Step-by-step explanation:
The answer is 19/100 because the percentage should be out of 100. Therefore, the fraction is 19/100.
fx) = X. What is g(x)?
f(x) = x
g(x)?
PLEASE HELP ASAP!!!!
Answer:
C
Step-by-step explanation:
vertex form:
[tex]y = {a(x - h)}^{2} + k[/tex]
the negative sign in front of x^2 is also -1, which is the "a". A controls if the parabola will opek up or down, and the width of the function. In this problem, the parabola opens down. the -3 corresponds to "k" in vertex form. K is the vertical shift or the y coordinate of the vertex. If k is positive it moves up, and if it is negative it moves down. Because of the -3, the vertex of the parabola will move down 3 units on the y-axis.
help an someone help
A teacher writes the name of each of her 25 students on a slip of paper and places the papers in a box. To call on a student,
she draws a slip of paper form the box. Each paper is equally likely to be drawn, and the papers are replaced in the box
after each draw.
What is the probability of calling on the same student twice in a row?
a. 0.0016
c.
0.56
b. 0.36
d.
0.04
Please select the best answer from the choices provided
the answer would be 0.56
Answer:
a: 0.0016
Step-by-step explanation:
Got it right on the test.
Hope this helps :)
This figure represents a platform on a stage. The stage crew needs to paint it black. One gallon of paint will cover 40 square yards.
How many full gallons of paint does the crew need to buy in order to paint the entire platform?
Enter your answer in the box.
gallons
Answer:
it is 4 or 3 i think 4 more tho
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
Zachary has 10 9/16 cups of dough to make dumplings. If he uses 13/16 cup of dough for each dumpling, how many dumplings can Zachary make?
Answer:
Zachary can make 13 dumplings.
Step-by-step explanation:
We know the size of the groups (13/16 cups) and the total (10 9/16 cups of dough). We're trying to find the number of groups that would fit in our total (10 9/16 cups). To find that out, we need to compute:
13\16 x ? =10 9/16
10 9/16 divided by 13/16 = ?
10 9/16 x 16/13
The reference angle for (5pi)/4 is pi/4 , which has a terminal point of (sqrt2/2), (sqrt2/2). What is the terminal point of 5pi/4?
Using the unit circle, it is found that the terminal point of the angle 5pi/4 is given by:
A. [tex]\left(-\frac{\sqrt{2}}{2}, -\frac{\sqrt{2}}{2}\right)[/tex]
What is the unit circle?For an angle [tex]\theta[/tex] the unit circle is a circle with radius 1 containing the following set of points: [tex](\cos{\theta}, \sin{\theta})[/tex].
The angle 5pi/4 is in the third quadrant, as it is greater than pi and less than 1.5pi, in which both the sine and the cosine are negative. Hence, considering the reference angle, we have that:
[tex](\cos{(\left(\frac{5\pi}{4}\right)}, \sin{(\left(\frac{5\pi}{4}\right)}) = (-\cos{(\left(\frac{\pi}{4}\right)}, -\sin{(\left(\frac{\pi}{4}\right)}) = \left(-\frac{\sqrt{2}}{2}, -\frac{\sqrt{2}}{2}\right)[/tex]
Hence option A is correct.
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rudy has punch cards for his favorite tea house abs his favorite coffee shop. he currently has 1 punch on the tea punch card and 2 punches on the coffee punch card. given his regular routine he consistently earns 7 new punch cards per week on the tea punch card and 6 on the coffee punch card. before too long rudy will have the same number of punches on each card. how long will it take? how many punches will rudy have on each card?
The time it would take for Rudy to have the same number of each punch card is 1 week.
The number of punches on each card Rudy would have is 8 punches.
How long will it take to have the same number of punches on each card?The equation that represents the number of punches on the tea punch card is: 1 + 7t
The equation that represents the number of punches on the coffee punch card is: 2 + 6t
Where t represents the number of weeks
When both cards would have the same amount of punches, the two above equations would be equal:
1 + 7t = 2 + 6t
To find the value of t, take the following steps:
Combine similar terms
7t - 6t = 2 - 1
t = 1 week
What will be the number of punches on each card?
Number of punches on each card = 1 + 7(1) = 8 punches
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PLS HELP ASAP DUE TODAY
Solve the equation on the
interval [0,21).
2 csc x + 17 = 15 + CSC X
Answer:
7π/6, 11π/6
Step-by-step explanation:
2cscx + 17 = 15 + cscx
1. Subtract cscx and 17 from both sides ⇒ cscx = -2
2. cscx = 1/sinx ⇒ 1/sinx = -2
3. Multiply by sinx and divide by -2 ⇒ sinx = -1/2
When is sinx equal to -1/2? ⇒ 7π/6, 11π/6
The solution of the equation 2cosec x+17 = 15+cosec x is 7π/6 and 11π/6.
What is the solution of the given equation in the interval [0, 2π)?Given:
The equation which is given is 2Cosec x + 17 = 15 + Cosec x.The interval is [0,2π).Find:
The solution of the given equation.Solution:
2Cosec x + 17 = 15 + Cosec x
⇒ 2Cosec x - Cosec x = 15 - 17
⇒ Cosec x = -2
Now, 1/sinx = -2
⇒ sinx = -1/2
we know, sin 30° = 1/2
Since, sinx is negative,
x will be in 3rd and 4th quadrant.
value in 3rd quadrant = 180° + 30° = 210°
value in 4th quadrant = 360° - 30° = 330°
So, x = 210° = 210 * π/180 = 7π/6
Also, x = 330° = 330 * π/180 = 11π/6
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If it takes 3.6 minutes to fill a 3000ml container, how long will it take to fill a 1.5L container?
Answer:
1.8 min
Step-by-step explanation:
This question is easier to answer than it would be in general.
3000 mL = 3 L
1.5L is exactly half of that, so the time to fill the 1.5L container is half the time it takes to fill the 3L container.
Half of 3.6 minutes is 1.8 minutes
giving brainliest :D
show steps in a simple way (not to long of an example ty :))
Answer:
[tex]\boxed{8x+6 \: units= base}[/tex]
Step-by-step explanation:
Altitude = 3x
Area = 12x² + 9x
We know that
Area of right triangle = ½ × base × altitude
Then,
12x² + 9x = ½ × 3x × base
[tex]12x ^ { 2 } +9x= \frac{ 3x }{ 2 } \times \: base[/tex]
[tex]\frac{6x\left(4x+3\right)}{3x} = \frac{3x\times \: base}{3x}[/tex]
[tex]\frac{6x\left(4x+3\right)}{3x} = base[/tex]
[tex]\underline{\underline{8x+6 \: units= base}}[/tex]
________
Hope it helps ⚜
The red square is the image of the blue square after a SINGLE transformation. Use two or more complete sentences to describe each of the FOUR different transformations that could produce the image.
The transformations which can lead to the red square image of the blue Square are; Translation, Reflection, Rotation.
What transformations lead to the image?Translation is when we slide a figure in any direction. The translation of the shape can be by moving the blue leftward or rightward and the then downward.Reflection is when we flip a figure over a line. The reflection involves reflect the blue Square over the line; y = x.Rotation is when we rotate a figure a certain degree around a point. The rotation is by rotating the blue Square over 180⁰.Read more on transformations;
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