34
Step-by-step explanation:
=5x-4y+2z
=5×8-4×3+2×3
=40-12+6
=46-12
=34
The depth of a diver is her distance below sea level because depth represents a distance
The depth of the diver is 32 feet below sea level.
What is the angle of elevation?The angle of elevation is the angle between the observer's eyesight horizontal line and the object. The complete question can be seen in the image attached below.
The depth of the diver is the absolute value of -32 since it can't be negative.
= |-32|
= 32
Therefore, we can conclude that the depth of the diver is 32 feet below sea level.
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Which equation is equivalent to StartRoot x squared + 81 EndRoot = x + 10?
The given equation is equivalent to Option D .
The mission option is
A. x+10= x+10
B. x+9 =x² + 20x + 100
C. x² +81 = x² + 100
D. x² + 81 = x² +20x + 100
What is an Equation ?An equation is a mathematical statement formed when two algebraic expression is equated by an equal sign .
An equation is given in the question
[tex]\rm \sqrt{x^2 + 81} = x +10[/tex]
[tex]\rm {x^2 + 9^2} = (x +10)^2[/tex]
[tex]\rm {x^2 + 81} = x^2 +20x + 100[/tex]
Therefore the given equation is equivalent to Option D .
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Which of the following is a factor of both f(x)=x^2-4x-45 and g(x)=x^2-25
Answer:
-5
Step-by-step explanation:
x² - 4x - 45 = 0
(x - 9)(x + 5) = 0
x = 9 or -5
x² - 25 = 0
(x + 5)(x - 5) = 0
x = 5 or -5
-5 is a common factor between both of them
What is the time in 24 hour clock for 03:50 pm?
a.0350 hrs
b.1350 hrs
c.1550 hrs
d.1650 hrs
Answer:
Option C
Step-by-step explanation:
Any evening time on a 24 hour clock will be that hour add 12 :
3:50 pm =
3:50 + 12:00 = 15:50
Option C must be the answer
Hope this helped and brainliest please
Answer:
c.1550 hrs
Step-by-step explanation:
It Is military time to it stays going for 12:00 to 13:00 14:00 15:00 and so on
Hope This Helped
DUE TODAY: PLEASE HELP
Use transformations to prove that the two figures are similar. Shape A is the original image
(Show work please, how it is similar or not)
Answer:
See below ~
Step-by-step explanation:
We need to prove that the figures are similar by applying the various kinds of transformations.
===============================================================
Question A :
⇒ Compare the side lengths of A and B
⇒ 2 : 5 (for all sides)
⇒ 1 : 2.5
⇒ Hence, Shape A has been dilated with a scale factor of 2.5 to form Shape B
=============================================================
Question B :
⇒ Compare the side lengths of A and B
⇒ A : B = 2 : 6
⇒ A : B = 1 : 3
⇒ Shape A has been dilated with a scale factor of 1/3 to form Shape B
help me pleaseeeeeeeee
[tex]\textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b \\\\[-0.35em] ~\dotfill\\\\ 2^3~~ = ~~8\implies \log_2(8)~~ = ~~3[/tex]
Using f(x) = log x, what is the x-intercept of g(x) = log (x + 4)? Explain your reasoning. help please! Even these simplest questions get me stuck.
Answer:
The x-intercept is at (-3, 0).
Step-by-step explanation:
log 1 = 0, so the x intercept of y = log x is at (1, 0).
The + 4 in the parentheses moves the whole graph 4 units to the left.
Therefore the x-intercept of log(x + 4) is where x = 1-4 = -3.
Which could be the missing data item for the given set of data if the median of the complete data set is 50?
21 23 60 60 50 54 54 59 26 15 43 15 A. 18
B. 24
C. 45
D. 57
Answer:
It's A
Step-by-step explanation:
Thx to the guy in the comments above
Answer:
It's A
Step-by-step explanation:
It's right
1/2x +3x = 14
steps?
Answer: Heyaa! ~
Your Answer would be.. =4
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.Convert the integer into a fraction:Combine the fractions:Combine the numerators:Multiply both sides by inverse fraction 2/7:Group like terms:Simplify the fraction:Multiply the fractions:Simplify the arithmetic:Hopefully this helps you ! ^^
An adult mamenchisaurus dinosaur was about 24 feet tall . if a toy model of the dinosaur is made to the scale of 1 inch to 9 inches , how tall will the toy dinosaur be
The height of the toy dinosaur will be 32 inches.
What is scaling?In mathematics scaling is defined as the enlarging or contracting of the size of an object by reducing or increasing the units of the measurements of the object.
Given that:-
An adult mamenchisaurus dinosaur was about 24 feet tall. if a toy model of the dinosaur is made to the scale of 1 inch to 9 inches.
The new height of the dinosaur will be calculated as:-
We know that the size of the dinosaur is scaled as 9 inches to 1 inch the actual height of the dinosaur is 24 feet so the scaled height will be:-
Actual height = 24 ft = 24 x 12 = 288 inches
9 inches → 1 inch
288 inches → 288 / 9 = 32 inches.
Therefore the height of the toy dinosaur will be 32 inches.
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Quadrilateral abcd has the vertices a(-6,4) , b(-4,5) , c(-3,3) , d(-5,1) . determine if quadrilateral abcd is a rhombus
Answer:
No
Step-by-step explanation:
The defining property of a rhombus is that it has equal side lengths.
=============================================================
Finding all side lengths :
AB
⇒ √(-4 + 6)² + (5 - 4)²
⇒ √2² + 1²
⇒ √5 units
BC
⇒ √(-3 + 4)² + (3 - 5)²
⇒ √1² + (-2)²
⇒ √5 units
CD
⇒ √(-5 + 3)² + (1 - 3)²
⇒ √(-2)² + (-2)²
⇒ √8 units
DA
⇒ √(-6 + 5)² + (4 - 1)²
⇒ √(-1)² + 3²
⇒ √10 units
As all side lengths of the quadrilateral are not equal, ABCD is not a rhombus.
Which of the following tables represents a function?
You have been given data about gas prices in 15 states.
2018 Gas Price Data
Max: $2.42
Min: $2.03
Mean: $2.098
Median: $2.06
Mode: $2.04
Variance: 0.0121
Standard Deviation: $0.1098
What does the range, standard deviation, and variance say about gas prices in 2018?
The range, standard deviation, and variance say about gas prices in 2018 discussed below
What is standard deviation and variance?Variance is the average squared deviations from the mean, while standard deviation is the square root of this number.
As the variance in 2018 is 0.0121.
A model with low variance means sampled data is close to where the model predicted it would be.
As the standard deviation in 2018 is 0.1098.
Low standard deviation means data are clustered around the mean
A small range means low variability in a distribution.
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If f(x) =
(3 + x)
(x-3)
what is f(a + 2)?
Answer:
(a^2)+4a-5
Step-by-step explanation:
(3+a+2)(a+2-3)
(a+5)(a-1)
use FOIL or box method
5a-5+(a^2)-a simplifyes to
(a^2)+4a-5
Use for #3 and #4. The 8th grade had a cooler of water for the pass the cup competition. It had 15 gallons of water. Each cup of water held 8 oz. of water. (There are 128 oz of water in 1 gallon.) 4. Solve for x. (awnsers) 240 270 200 210
Answer:
I believe the answer is 240
Find the area of AAOB
9√3 un
3√3 um
4.5/3 2
The area of the triangle AOB is 9√3 square units
How to determine the area of AOB?The triangle AOB is an equilateral triangle with the following parameters:
Side length, x = 6
Angle, y = 60
The area of the triangle is then calculated using:
Area = 0.5 * x^2 * sin(y)
So, we have:
Area = 0.5 * 6^2 * sin(60)
Evaluate
Area = 18 * 0.5√3
Evaluate the product
Area = 9√3
Hence, the area of the triangle AOB is 9√3 square units
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How many children are working around the world today, according to the ilo? a. 215,000 b. 2.15 million c. 21.5 million d. 215 million
Answer:
160 million
Step-by-step explanation:
According to the ILO as of 2021, there's an estimated 160 million children working right now, so i don't know what answer you should put :/
Answer:
D 215 million
Step-by-step explanation:
Three times the sum of a number and 3 is 3 less than the number times 5. Find the
number.
Answer:
3 * (x + 3) = x * 5 - 3
The manager at Jessica's Furniture Store is trying to figure out how much to charge for a couch that just arrived. The couch was bought at a wholesale price of \$113.00$113.00dollar sign, 113, point, 00, and Jessica's Furniture Store marks up all furniture by 45%, percent.
Given the mark up of all furniture in the store, the price that the manager should charge for the couch that just arrived is $163.85.
How much should the manager charge for the couch that just arrived?Given that;
Purchase price = $113.00 marks up = 45%Selling price = ?First, we determine the mark price.
Since the Furniture Store marks up all furniture by 45%.
Mark up price = mark up × purchase price
Mark up price = 45% × $113.00
Mark up price = 0.45 × $113.00
Mark up price = $50.85
Now, the selling price will be;
Selling price = Purchase price + mark up price
Selling price = $113.00 + $50.85
Selling price = $163.85
Given the mark up of all furniture in the store, the price that the manager should charge for the couch that just arrived is $163.85.
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40
A box contains
crayons.
Of these, 7 are red. 4 are blue. 8 are
green, and the rest are yellow. If a
crayon is chosen at random, not
replaced, then another is chosen.
what is the probability that
both crayons are yellow?
Answer:
51%
Step-by-step explanation:
Joseph and his children went into a movie theater where they sell bags of popcorn for $7.50 each and pretzels for $4.75 each. Joseph has $95 to spend and must buy no less than 16 bags of popcorn and pretzels altogether. If
x
x represents the number of bags of popcorn purchased and
y
y represents the number of pretzels purchased, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
Step-by-step explanation:
Tomás bought a new car for $41,000. If the value of the car depreciates by 17% each year, determine the value
of his car in 9 years.
This is a means of reducing the cost of a goods or an asset over time. The value of the car after 9 years is approximately $888
DepreciationThis is a means of reducing the cost of a goods or an asset over time.
Mathematically, the cost of goods after a particular year is expressed as:
P(t) = P0e^-rt
Given
P0 = $41000rate r = 17% = 0.17time t = 9 yearsSubstitute
P(17) = 41000r^0.17(9)
P(17) = 4100(0.21653)
P(17) = 887.79
Hence the value of the car after 9 years is approximately $888
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NEED HELP ASAP, PLEASE ANSWER THIS
Answer:
Given units of measures of volume:
mm³ = millimeters cubedcm³ = centimeters cubeddm³ = decimeters cubed ⇒ 1 dm³ = 1 literm³ = meters cubed ⇒ 1 m³ = 1000 litersUnits of measure:
mm < cm < dm < m1000 mm = 100 cm = 10 dm = 1 m1. Water in a rectangular pool → m³
2. an ice cube before it melts → cm³
3. a dice → mm³
4. a blackboard eraser → cm³
5. oil in a rectangular box → dm³
To convert liters to cubic meters, divide by 1000:
⇒ 6700 L³ = 67000 L = 6700 ÷ 1000 = 6.7 m³
To convert liters to cubic centimeters, multiply by 1000:
⇒ 28 L³ = 28 L = 28 × 1000 = 28,000 cm³
The product of a number and 2 is 1. Find eight times the number.
Answer:
I would think that it would be 8
Step-by-step explanation:
1-2= (-1)= -1+2=1
I think it's 8. 8 times the number of 1 is well...8.
Step-by-step explanation:
x = the number
x * 2 = 1
soooo x = 1/2
then 8 * 1/2 = 4
3D TRIGONOMETRY PLS HELP ME HELP
A drawer contains 5 white shirts, 3 yellow shirts, and 4 black shirts. a shirt is randomly selected from the drawer and set aside. then another shirt is randomly selected from the drawer. what is the probability that the first shirt is yellow and the second shirt is black?
[tex]|\Omega|=12\cdot11=132\\|A|=3\cdot4=12\\\\P(A)=\dfrac{12}{132}=\dfrac{1}{11}\approx9.1\%[/tex]
add or subtract the given percent from
71% subtracted from 100% is 29%
Complete questionAdd or subtract the given percent from 100%.
71%
How to solve the expression?The percentage (p) is given as:
p = 71%
When subtracted from 100%, we have:
100% - p
Substitute p = 71%
100% - 71%
71 subtracted from 100 is 29.
So, we have:
100% - 71% = 29%
Hence, 71% subtracted from 100% is 29%
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What is 2 over 7 is greater than 4 over 12
The value 2 / 7 is greater than 4 / 12 is - 1 / 21
How to perform subtraction in algebra?To know the value 2/7 is greater by 4 / 12, we have to subtract 4 / 12 from 2 / 7 .
Therefore,
2 / 7 - 4 / 12 = 24 - 28/84
Therefore,
24 - 28/84 = - 4/ 84 = - 1 / 21
Therefore, it is greater by - 1 / 21
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Which of these is a correct expansion of (3x − 1)(4x² + 5)?
OA. 3x 4x2 + 3x 5+1 4x² +1.5
OB. 3x. 4x² + 3x • 5+ (−1) • 4x² + (−1) • 5
OC. 3x 4x² + (-1). 4x² + 4x².5+ (-1).5
In a cave, a stalactite gets 44 millimeters longer each year. this year it is 72 centimeters long. how many years until it is 1 meter long?
Answer:
6.36 years (the .36 repeats), so rounded is 6.4.
Step-by-step explanation:
First, I'm going to convert all measurements to meters.
Since 1000 mm = 1 m, divide 44 by 1000.
44/1000 = 0.044 m
Since 100 cm = 1 m, divide 72 by 100.
72/100 = 0.72 m
Next, I'm going to setup an equation using y = mx + b.
b is the beginning amount which is 0.72.
m in the equation represents the rate which is 0.044.
y represents the total which is 1.
Plugin the numbers and solve for x.
1 = 0.044x + 0.72
1 - 0.72 = 0.044x + 0.72 - 0.72
0.28 = 0.044x
0.28/0.044 = 0.044x/0.044
6.36 = x