Answer:
y=1
x=-2
Step-by-step explanation:
You're given one, so solve for y by entering -2 (x) into it's equation.
y=x+3
y=-2+3
y=-1
The other is given, so you have your answer.
:)
A wave has a wavelength of 20 meters and a speed of 80 meters/second. What is the hertz of the wave ?
Answer:
4 Hz
Step-by-step explanation:
Formula: frequency = velocity/wavelength
f = 80/20
f = 4
The total surface area of a cube is 114 in.² what is the length of each side of the cube? It is __ in
Answer:
16
Step-by-step explanation:
You need to find the answer
The circles at the right are congruent. Which conclusion can you draw?
A. Angle AEB = Angle QUR
B. Angle CED = Angle SUT
C. CD = ST
D. Arc BD = Arc RT
Answer:
C. CD=ST
Step-by-step explanation:
The conclusion we can draw from the given diagram is Angle AEB = Angle QUR. The correct option is A. Angle AEB = Angle QUR
Congruent circlesFrom the question, we are to deduce which of the given options is correct
From the given information, the circles are congruent
Congruent circles have the same or equal radii
As indicated in the diagram,
Arc AB = Arc QR
Since, the radii of the two circles are equal and the arcs (arc AB and arc QR) are as well equal, their central angles must be equal
∴ Angle AEB = Angle QUR
Hence, the conclusion we can draw from the given diagram is Angle AEB = Angle QUR. The correct option is A. Angle AEB = Angle QUR
Learn more on congruent circles here: https://brainly.com/question/12044225
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Kati has of a bag of frozen fruit. She used of the fruit to make smoothies. Which equation represents the amount of fruit Kati used to make smoothies?
Answer:
The amount of frozen fruit used to make smoothies is equal to the total number of frozen fruits minus the remainder of fruits after making smoothies.
Step-by-step explanation:
Let
Total number of frozen fruits = F
Let the amount of frozen fruits used for making smoothies = S
The remaining frozen fruits = R
Then
F - S = R
To get the amount of frozen fruits used to make smoothies, we make S the subject of the formula.
-S = R - F
S = F - R
That is, the amount of frozen fruit used to make smoothies is equal to the total number of frozen fruits minus the remainder of fruits after making smoothies.
square root of 125 to the power of 3
Answer:
1397.54248594
Step-by-step explanation:
I am glad you asked!First we need to write square root for our equation.Then we need to do 125[tex]^[/tex]^3.We then need to put all this together.We get square root 125[tex]^[/tex]^3.It equals 1397.54248594.
The solution of expression is,
⇒ 1404.9
We have to give that,
An expression is,
''square root of 125 to the power of 3''
Now, It can be written as,
⇒ ( √125 )³
⇒ [tex]125^{3/2}[/tex]
⇒ (11.2)³
⇒ 11.2 × 11.2 × 11.2
⇒ 1404.9
To learn more about the Number system visit:
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Can someone answer this question please please answer it correctly I’d it’s correct I will mark you brainliest please help me
The formula for the area of a circle is A = pi x (radius^2).
We need the radius of the circle in order to use the formula. The radius is equal to 1/2 of the diameter of the circle. The radius goes from the center to one side of the circle, whereas the diameter touches two sides of the circle and goes through the center.
radius = 6 / 2 = 3 units
Remember that a semi-circle is equal to 1/2 of a full circle. So we need to find the area of the whole circle and divide it by 2.
A = pi x 3^2
A = 9pi
A = 4.5pi = 14.13 units^2
Hope this helps! :)
Look at the attached picture
Hope it will be helpful to you..
Good luck for your test...(◕ᴗ◕✿)
if an integer from 3 through 14 is chosen at random, what is the probability that the number chosen is NOT prime
Answer:
Step-by-step explanation:
7/12
no. of not prime number/ total no. of number
1. State the number you would multiply each side of the proportion by to isolate the variable.
r/6= 5/6
Answer:
6
Step-by-step explanation:
In order to get r by itself, you would want to multiply both sides by 6 to cancel out the denominator. From this, you get r=5.
Hope this helps :)
HELP ME I DON'T UNDERSTAND THIS :(
Answer:
c
Step-by-step explanation:
Since the figures are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{AD}{WZ}[/tex] = [tex]\frac{CD}{YZ}[/tex] , substitute values
[tex]\frac{10}{46}[/tex] = [tex]\frac{5}{YZ}[/tex] ( cross- multiply )
10YZ = 230 ( divide both sides by 10 )
YZ = 23 → c
Corinne made a deposit of $6,000 into an account with a simple interest rate of 5%. How much interest will be in the account after 8 years?
Answer:
$8,864.73
Step-by-step explanation:
Base amount: $6,000.00
Interest Rate: 5% (yearly)
Effective Annual Rate: 5%
Calculation period: 8 years
x/4+9=15 I'm doing a math assignment.
Answer:
x = 24
Step-by-step explanation:
x/4+9=15
Subtract 9 from each side
x/4+9-9=15-9
x/4 = 6
Multiply each side by 4
x/4*4 = 6*4
x = 24
Answer:
[tex]x = 24[/tex]
Step-by-step explanation:
[tex] \frac{x}{4} + 9 = 15 \\ \\ \frac{x}{4} = 15 - 9 \\ \frac{x}{4} = 6 \\ 4 \times \frac{x}{4} = 6 \times 4 \\ x = 24[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
El abuelo, Don José, es de edad avanzada, aunque no es centenario. El año pasado su edad era múltiplo de 8, y el año próximo es múltiplo de 7.
¿Cuantos años tiene Don José?
Answer: 97
Step-by-step explanation:
This can be translated to:
The Grandfather, Don José, is a old man, but is not over 100 years old.
Last year his age was a multiple of 8, and next year will be a multiple of 7.
Find the age of Don José.
Ok, if the age of Don José is X, we have that:
X is a number of two digits.
X + 1 is a multiple of 7
X - 1 is a multiple of 8.
ok, the multiples of 7 are:
7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98
the multiples of 8 are:
8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96
Now we must find any two numbers (one for each set) that are distanced by 2 units (because the difference between X + 1 and X - 1 is: (X + 1) - (X - 1) = 2)
We also must have that the larger number comes from the set of the multiples of 7, and the smaller number comes from the set of multiples of 8, the numbers are:
98, is multiple of 7 and this is X + 1
96 is multiple of 8 and this is X - 1
then X = 97,
Change 125 mm into centimetres.
Answer:
12.5 cm
Step-by-step explanation:
divide 125 by 10 to get 12.5
Answer:
12.5 cm
Step-by-step explanation:
10 mm=1 cm
so 125 mm=125:10 cm=12.5 cm
The perimeter of a rectangular garden is 48.8 feet it’s length is 12.4 what is it’s width
Answer:
12 feet
Step-by-step explanation:
Perimeter=l+l+w+w
48.8=12.4+12.4+2w
48.8=24.8+2w
2w=24, w=12 feet
How do you write 5.58 x 10-3 in standard form?
Answer:
0.00558
Step-by-step explanation:
Find the exact length of the third side.
4
2
Answer:
Step-by-step explanation:
4-2<x<4+2
2<x<6
x = 3, 4 or 5
i assume u r talking about triangle
Quincy folds a piece of cardboard to make the three sides of a triangular prism open at top and bottom. The triangle prism and the piece of cardboard that he used are show below. What is the area of the piece of cardboard?
This question is incomplete because it lacks the attached diagram.
Find attached to this answer the appropriate diagram
Answer:
500 square centimeters
Step-by-step explanation:
From the question above, we are told that the top and bottom of the triangular prism is open.
Hence, the area of the piece of the cardboard is = Lateral Surface Area of the triangular prism
The formula for Lateral Surface Area of a Triangular Prism = Perimeter of the Triangular prism × Height of the Triangular prism.
Perimeter of the Triangular prism = Side a + Side b + Side c
Where Side a = 9cm
Side b = 9cm
Side c = 7 cm
Perimeter of the Triangular prism = 9cm + 9cm + 7cm
= 25cm
Height of the Triangular prism = 20cm
The Lateral Surface Area of the Triangular prism = 25cm × 20cm
= 500cm² or 500 square centimeters.
Since we are told that Lateral Surface Area = Area of the cardboard,
The Area of the cardboard = 500 cm² or 500 square centimeters.
Can anyone solve this questions?
Will mark brainliest.
Answer:
CD player X
Step-by-step explanation:
In this question we are asked to compare 3 CD prices to each other and see which one is the cheapest. We will need to use something called decimal multipliers for this question. We will work out the price of each CD player and then analyse after that. To work out the decimal multipliers for decrease question you have minus 100 and then divide by 1 hundred.
CD player X
→ A price of 1500 and 20% off
⇒ Work out the multiplier with the 100 and then divide by a hundred
→ 100 - 20 = 80 → 80 ÷ 100 = 0.8 So the decimal multiplier is 0.8
⇒ Now multiply the price by the decimal multiplier
→ 1500 × 0.8 = 1200
-------------------------------------------------------------------------------------------------------
CD player Y
→ A price of 2000 and 30% off
⇒ Work out the multiplier with the 100 and then divide by a hundred
→ 100 - 30 = 70 → 70 ÷ 100 = 0.7 So the decimal multiplier is 0.7
⇒ Now multiply the price by the decimal multiplier
→ 2000 × 0.7 = 1400
-------------------------------------------------------------------------------------------------------
CD player Z
→ A price of 1800 and 25% off
⇒ Work out the multiplier with the 100 and then divide by a hundred
→ 100 - 25 = 75 → 75 ÷ 100 = 0.75 So the decimal multiplier is 0.75
⇒ Now multiply the price by the decimal multiplier
→ 1800 × 0.75 = 1350
We can see the CD player X is the one that saves the most money
Answer:
Therefore, the CD player X is worth buying, since it only costs 1,200.
CD player X: 1,200
CD player Y: 1,400
CD player Z: 1,350
Step-by-step explanation:
Formula:
discount amount/original price = discount%/100%
For CD player Z:
discount amount = x
original price/regular price = 1,800
discount% = 25%
For CD player Y:
discount amount = x
original price or regular price = 2,000
discount% = 30%
For CD player X:
discount amount = x
original price or regular price = 1,500
discount% = 20%
______________________________
For CD player Z
x/1,800 = 25/100
x ⋅ 100 = 25 ⋅ 1,800
100x = 45,000
100x/100 = 45,000/100
x = 450
For CD player Y
x/2,000 = 30/100
x ⋅ 100 = 30 ⋅ 2,000
100x/100 = 60,000/100
x = 600
For CD player X
x/1,500 = 20/100
x ⋅ 100 = 20 ⋅ 1,500
100x = 30,000
100x/100 = 30,000/100
x = 300
_________________________
Formula:
Sale price = original price - discount
For CD player Z: 1,800 - 450 = 1,350
For CD player Y: 2,000 - 600 = 1,400
For CD player X: 1,500 - 300 = 1,200
you earn $56 for mowing 7 lawnes. How much do you make 12 lawns
Answer:
$96
Step-by-step explanation:
56/7=x/12
8=x/12
8*12=x
x=96
Thank you so very much for helping
Answer:
Angle 2
Step-by-step explanation:
They are 90 degrees when added together
Answer:
<2
Step-by-step explanation:
Complementary angles add to 90 degrees ( form right angles)
<1 and <2 add to 90 degrees so they are complementary angles
Factor the quadratic expression x2−13x−48.
Please enter your answer in the box below.
Answer:
(x-16)(x+3)
Step-by-step explanation:
Find the distance between (-10,-7),(-8,1)
Answer:
6.325
Step-by-step explanation:
What is the probability that the proportion of people who will order coffee with their meal is between 2% of the population mean? If in a restaurant, the proportion of people who order coffee with their dinner is .9. A simple random sample of 144 patrons of the restaurant is taken.
Answer:
57.62% probability that the proportion of people who will order coffee with their meal is within 2% of the population mean.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, we have that [tex]\mu = p, s = \sqrt{\frac{p(1-p)}{n}}[/tex]
In this question:
[tex]p = 0.9, n = 144[/tex]
So
[tex]\mu = 0.9, s = \sqrt{\frac{0.9*0.1}{144}} = 0.025[/tex]
What is the probability that the proportion of people who will order coffee with their meal is within 2% of the population mean?
This is the pvalue of Z when X = 0.9 + 0.02 = 0.92 subtracted by the pvalue of Z when X = 0.9 - 0.02 = 0.88. So
X = 0.92
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.92 - 0.9}{0.025}[/tex]
[tex]Z = 0.8[/tex]
[tex]Z = 0.8[/tex] has a pvalue of 0.7881
X = 0.88
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.88 - 0.9}{0.025}[/tex]
[tex]Z = -0.8[/tex]
[tex]Z = -0.8[/tex] has a pvalue of 0.2119
0.7881 - 0.2119 = 0.5762
57.62% probability that the proportion of people who will order coffee with their meal is within 2% of the population mean.
please help me, someone!
Answer:
76.275
Step-by-step explanation:
First - the entire circles area is 78.54. [tex]\pi r^{2}[/tex] with r being 5
6 triangles of that size could fit in that circle.
A=3[tex]\sqrt{3}[/tex]/(2) * a2
The area of that would equal 64.95
78.54-64.95 = 13.59
then divide that number by 6
which is 2.265.
Take that number from the original 78.54
78.54-2.265 = 76.275
Find the circumference of a circle whose area is 247 ft2.
Answer:
55.71 ft.
Step-by-step explanation:
hope this helps have a good day!
Let log 10! = a. Find an expression for log 9! in terms of a.
Answer:
[tex]log 9! = a-1[/tex]
Step-by-step explanation:
[tex](log10! = a) = (10^{a} = 10!)\\\\\\10! = 10 * 9 * 8 * 7 ...\\\\10^a = 10 * 9 * 8 * 7 ...\\\\10^a = 10 * 9!\\\\\frac{10^a}{10^1} = 9!\\\\10^{a-1} = 9!\\\\log9! = a-1[/tex]
The expression for log 9! in terms of a is [tex]log9! = a - 1[/tex].
Given that,
Let log 10! = a.Based on the above information, the calculation is as follows:
[tex](log10! = a) = (10^{a} = 10!)\\\\10! = 10\times 9\times 8\times 7\\\\10^{a} = = 10\times 9\times 8\times 7\\\\10^{a} = 10\times 9!\\\\\frac{10^{a}}{10^{1}} = 9!\\\\10^{a - 1} = 9!\\\\log9! = a - 1[/tex]
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Which of the following is the factored form of the goven equation? 6x² + 2x - 8 = 0
A. 2(3x+4)(x+1) = 0
B. (6x+1)(x-8)=0
C. 2(3x+4)(x-1)=0
Answer:
C
Step-by-step explanation:
6x^2 + 2x - 8
Multiply the (6) to the -(8) to get x^2 by itself.
x^2 + 2x - 48
Solve -
(x-6)(x+8) = x^2 + 2x - 48
However, you must divide out the (6) you multiplied.
(x-6/6) =
(x-1)
(x+8/6) =
(3x + 4)
Therefore, 2(3x + 4)(x-1) is your answer.
EDIT - At the beginning of the equation it is possible to divide (2) out of the equation, this is where the (2) at the end comes from.
Help Me
I don't quite understand this...
Answer:
(x-3)^2 = 4
Step-by-step explanation:
2 (x-3)^2 + 6 = 14
Subtract 6 from each side
2 (x-3)^2 = 8
Divide each side by 2
2/2 (x-3)^2 + 6 = 8/2
(x-3)^2 = 4
Given x=5, y=3/5, z=3.3, evaluate each expression
2^2y-1
a.1024
c.20
b.200,000
d.200
4(3x+5)=6(x+8)-x someone please help me with this equation
Answer:
x=4
Step-by-step explanation:
4(3x+5)=6(x+8)-x
Distribute
12x +20 = 6x +48 -x
Combine like terms
12x+20 = 5x+48
Subtract 5x from each side
12x-5x +20 = 5x-5x+48
7x +20 = 48
Subtract 20 from each side
7x+20-20 = 48-20
7x = 28
Divide each side by 7
7x/7 = 28/7
x = 4
