The actual area of the space for Joseph's new grill in square inches is 1280cm².
How to calculate the value?It should be noted that Joseph uses a scale of 2 cm for every 5 inches.
It should be noted that the drawing is 80inches by 100 inches.. Therefore, the original shape will be:
= 80 × 2/5 = 32
= 100 × 2/5 = 40
Therefore, the area will be:
= Length × Width
= 32 × 40
= 1280cm².
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Jospwh has a drawing of 80 inches by 10 inches. After making several scale drawings,Joseph decides on the best placement for a new grill on his desks.He uses a scale of 2 cm for every 5 in. what is the actual area of the space for Joseph's new grill in square inches?
What is the slop of the line represented by the equation y=4.5X-3
Answer: We have 4.5 and 7 as intercept on y-axis
Step-by-step explanation: this is just what my teacher has told my class
Answer:
4.5Step-by-step explanation:
The equation is written in slope-intercept form, y=mx+b.
In slope-intercept form, the slope, m, is always the number before x.
Therefore the slope is 4.5.
[tex]\Large\overbrace{\underbrace{\boldsymbol{\rm{Reflection - RoSe}}}}^\star_\star[/tex]
what is positive number - positive number
2 − (+7) = ?
Answer:
-5
Step-by-step explanation:
2-(+7)
since the negetive is in front of the parenthesis the 7 turns into a negative
2-7
Seven is greater than two which means that the number will be in the negative section
-5
A solution consisting of 70 mg of dopamine in 70 mL of solution is administered at a rate of 15 mL/hr. Complete parts (a) and (b)
below.
Answer:
The flow rate of dopamine per hour is 15 mg and the duration is 9.3 hours.
Step-by-step explanation:
It is given that A solution consisting of 70 mg of dopamine in 70 mL of solution is administered at a rate of 15 mL/hr.
A solution consisting of 182 mg of dopamine in 26 mL of solution is administered at a rate of 10 mL/hr.
Now, Let's calculate the flow rate of dopamine per hour;
=> Flow rate of dopamine per hour = (70 × 15)/70
=> Flow rate of dopamine per hour = 1050/70
=> Flow rate of dopamine per hour = 15 mg
Further, let's calculate how much the solution should last for a patient that is prescribed to receive 140 mg of dopamine;
=> Prescription = 140 mg
=> Flow rate of dopamine per hour = 15 mg
=> Duration = Prescription/Flow rate of dopamine per hour
=> Duration = 140/15
=> Duration = 9.3 hours
Therefore, the flow rate of dopamine per hour is 15 mg and the duration is 9.3 hours.
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Segment ol is a median to the segment cd. cl is =3x-6. ld is =7x-22. find the length of segment cd hi
Length of segment 'cd' = 12 units
Given:-
'ol' is the mid-point of line segment 'cd'
'cl' = 13x + 8
'ld' = 23x - 4
We have to find the length of segment 'cd'.
Since the point 'ol' is the median to the segment cd then two expressions given 'cl' and 'ld' must add up to 'cd'.
'cd' = 'cl' + 'ld'
'cd' = (3x - 6) + (7x - 22)
'cd' = 10x - 28
- To determine the value of x we can also say that 'cl' and 'ld' must be equal because 'ol' is the common mid-point on the line segment 'cd'. So we can write:
'cl' = 'ld'
3x - 6 = 7x - 22
22 - 6 = 7x - 3x
16 = 4x
x = 4 units
- Now substitute the value of x in the expression developed for 'cd' as follows:
'cd' = 10x - 28
'cd' = 10 × 4 - 28
cd = 40 -28
'cd' = 12 units.
Therefore, the length of segment 'cd' is 12 units.
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Expand each logarithm.
logb b/x
If the expression is [tex]log_{b}[/tex](b/x), then the expanded form of the expression looks like [tex]log_{b}b-log_{b}x[/tex].
Given that the expression is [tex]log_{b}[/tex](b/x).
We are required to find the expanded form of the expression.
The change of base formula is basically used to re-write a logarithm operation as a fraction of logarithms with a new base.
We know that log (m/n)= log m- log n.
The expression is [tex]log_{b}[/tex](b/x).
We have to first multiply b with the inside fraction.
[tex]log_{b}[/tex](b/x)=[tex]log_{b}b -log_{b}x[/tex]
Hence if the expression is [tex]log_{b}[/tex](b/x), then the expanded form of the expression looks like [tex]log_{b}b -log_{b}x[/tex]
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What is an equation of the line that passes through the point
(
−
8
,
0
)
(−8,0) and is parallel to the line
x
+
2
y
=
14
x+2y=14?
Answer: The question is not clear.
Step-by-step explanation:
Answer:
y = -1/2x +4
Step-by-step explanation:
First you need to get you're y-intercept form equation which is going to be : y = -1/2x + 7
How: x + 2y = 14
-- Subtract x on both sides
x + 2y = 14
-x -x
Then: 2y = -x +14
-- Divide 2 on all parts
[tex]\frac{2y}{2} = -\frac{1x}{2} + \frac{14}{2}[/tex]
Equals: y = -1/2x + 7
Second find the slope which is : m = -1/2x
Third the formula for finding a parallel line to another is : y - y[tex]_{1}[/tex] = m(x - x[tex]_{1}[/tex])
The problem now would look like :
y - 0 = -1/2(x - -8)
--Distribute the -1/2
y - 0 = -1/2x + 4
--Add the 0 to 4
y = -1/2x +4
Hope this helps!
--Blu
Give the coordinates of the point obtained from each reflection.
The coordinates of the spot received from each reflection.
a. When a point is reflected across the x-axis:
(-4 , -5) → (-4 , 5)
b. When a point is reflected across the y-axis:
(-4 , -5) → (4 , -5)
What exactly is the meaning of reflection?A reflection in mathematics is a mapping from such a Euclidean space to itself that is an isometry with just a hyperplane as a fixed point set; this set is known as the axis or plane of reflection. A figure's mirror image with in axis or plane or reflection is its image by reflection.
Briefing:When a point is reflected across the x-axis, every x-coordinate remains unchanged, but the y-coordinate is assumed to represent the additive inverse. Point (x, reflection )'s from across x-axis is (x, -y).
When you reflect from across y-axis, the coordinates change as follows:
(x, y) → (-x, y)
To obtain your new set, multiply your x-coordinate by -1 as well as leave the y-coordinate alone.
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A bacterium was found to have a mass of
2
×
10
−
12
gram. After 30 hours, one bacterium was replaced by a population of 480,000,000 bacteria. What is the mass of the population of bacteria after 30 hours? Write your answer in scientific notation.
The mass of the population of bacteria after 30 hours is 9.6×10⁻⁴ grams in expressions.
What does a math expression mean?
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)Mass of 1 bacterium =2×10-¹². Then the mass after 30 hours will be calculated as below:-
Mass of 480,000,000 bacteria = 2×10-¹²×480,000,000
Mass of 480,000,000 bacteria =0.00096
Mass of 480,000,000 bacteria =9.6×10⁻⁴
Therefore, the mass of the population of bacteria after 30 hours is 9.6×10⁻⁴ grams.
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Can √3 + 5 be simplified?
Yes or no
if yes show your answer if not explain why
SHOW WORK or it gets deleted
It is true that the expression √3 + 5 cannot be simplified
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to determine if the expression can be simplified?The expression is given as
√3 + 5
The above expression is a combination of a radical expression and an integer
The radical expression √3 cannot be simplified
This means that the expression √3 + 5 cannot be simplified
Hence, the expression √3 + 5 cannot be simplified
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the perimeter of the triangle is 78 units . What is the length of side AB
The perimeter of the triangle will be the addition of all its sides.
How to illustrate the perimeter?It should be noted that the perimeter of a triangle is calculated by adding the values of all its sides
Die example, of the sides are 4cm, 7cm and 5cm. The perimeter of the triangle will be:
= 4cm + 7cm + 5cm
= 16cm
Based on the information given, it's important to add the equations together and equate them to 78 to get the value of AB.
Note that an overview was given as the question is incomplete.
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Mrs. Weatherford spends 15% of each weekday
traveling in her car. How many hours per day
does Mrs. Weatherford spend in her car during
the week?
According to the solving Mrs. Weatherford spends 15 percent of each weekday 25 hours and 20 minutes in her car.
What does the Percentages mean?A % is a relative figure that represents the hundredth part of any amount. One percent (symbolized 1%) is one hundredth part; consequently, 100 percent denotes the complete amount and 200 percent defines twice the supplied amount.
What is the significance of percentage?The most fundamental use of percentages is really to compare one number to another, with the second number rebased to 100. Assume we want to know the number among employed females as both a percentage of all employees.
According to the given data:Mrs. Weatherford drives 15% of the time during the week.
We know that:
1 week = 7days
1day = 24 hours
So 7 days = 7 x 24
= 168 hours
Mrs. Weatherford drives 15% of the time during the week.
So,
(168/100) * 15
1.68 * 15
25.2 hours
According to the solving Mrs. Weatherford spends 25 hours and 20 minutes in her car.
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A chessboard is made of 64 small squares. Suppose a single square on a chessboard has an area of 9 square centimeters. How long is one side of the entire board?
PLEASE HELPPP
Answer:
[tex]72cm[/tex]
watch the cm sign too
Step-by-step explanation:
[tex]area = s2[/tex]
I think you should find the square root in order to get the length of one side
[tex] \sqrt{64} [/tex]
answer is 8, then you multiply 8 by 9 to get the length of one side of the board
[tex]9 \times 8[/tex]
[tex] = 72cm[/tex]
that should be your final answer
Gregory planted a lemon tree in his back yard. when he planted the tree, it was two feet tall. he noticed that it has been growing three inches every week.
y = 2 + 0.0357x shows the relationship between the height of the lemons and days, it will take 16 weeks for the lemon tree to reach 6ft.
Day 0 the plant is 2ft
Every 7 days the plants increase by 3 inches
Recall that, 1 inch = 0.0833 feet
Therfore 3 inches = 3 × 0.0833 = 0.2499ft
The plant increases in by 0.2499/7 daily
0.25/7 = 0.0357
Let x be the days and the y be plant height, the plant height and the number of days can be related by
y = 2 + 0.0357x
Days (x)
0
7
14
21
24
height (y)
2
2.25
2.50
2.75
3.00
b) when the tree will by 6ft, y = 6ft
y = 2 + 0.0357x
6 = 2 + 0.0357x
Collect like terms
6-2 = 0.037x
4 = 0.0357x
x = 4/0.0357
x = 112.04 days
x = 112 days
Converting it to weeks 112/7 = 16 weeks, it will take 16 weeks for the plant to grow to 6ft.
The growth of the plant is linear.
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Simplify. (2⁴) (2⁵)
Applying the product rule for exponent numbers, 2⁴ . 2⁵ = 2⁴⁺⁵ = 2⁹
Recall the rules of exponent operations:
Product. [tex]a^{b}.a^{c}=a^{b+c}[/tex]Quotient. [tex]a^{b}:a^{c}=a^{b-c}[/tex]Power. [tex](a^{b})^{c}=a^{b.c}[/tex]Power of a product. [tex](a.b)^{c}=a^{c}.b^{c}[/tex]Zero power. a⁰ = 1Negative exponent. [tex]a^{-b}=\frac{1}{a^{b}}[/tex]Note that the first 3 rules use the same base. If there are more than 1 base number, then group the exponent that have the same base first.
Example:
[tex](2^{3}.3^{-2}) : (2^{-3}.3^{2})=( 2^{3}:2^{-3}).(3^{-2}:.3^{2})[/tex]
Tips: To simplify exponent numbers, sometimes it is useful to modify the base whenever possible.
Example:
8².2⁻⁵ = (2³)². 2⁻⁵ = 2⁶. 2⁻⁵ = 2⁶⁻⁵ = 2¹ = 2
The given problem:
Simplify (2⁴) (2⁵)
Use the product rule:
2⁴ . 2⁵ = 2⁴⁺⁵ = 2⁹
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A carpenter sells nightstands at a local store. The table shows the number of nightstands sold and the amount of profit earned.
Number of Nightstands Sold
Profit (in dollars)
2
$900
?
4
8
10
$3.600
$4.500
What is the missing value in the table?
O $1,200
$1,350
O $1,800
O $2,700
Sign out
US
When 4 nightstands are sold the profit is $1800 since the number of nightstands sold is directly proportional to the profit.
The profit is defined as difference between the cost price and sell price for a product.
A directly proportional relationship means that if two variables x and y are proportional to one another then there exist a constant k such that x = y × k .
The graph of a directly proportional equations is a straight line passing through the origin.
Given that the profit is $900 for 2 sold nightstands, $3600 for 8 night stands and $4500 for 10 sold nightstands.
Now this relationship is directly proportional.
So the constant is given by k=900/2=4500/10=3600/8=450
Hence the profit for selling 4 night stands is 450 × 4 =$1800
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Need help plssssss ion understand it
Based on the angle addition postulate, the proof that shows that m<ABC = 26 degrees is explained below.
What is the Angle Addition Postulate?If two smaller angles are formed when a line segment bisects a larger angle, the sum of the measures of the two smaller angles would be equal to the measure of the larger angle, based on the angle addition postulate.
Statements Reasons
m<ABD = 52° Given
BC bisects m<ABD Given
m<ABC = m<CBD Definition of bisector
m<ABC + m<CBD = m<ABD Angle addition postulate
m<ABC + m<CBD = 52° Substitution property
m<ABC + m<ABC = 52° Substitution property
In conclusion, based on the angle addition postulate, the proof that shows that m<ABC = 26 degrees is stated above.
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Juan got a pizza that had 12 slices. he ate 1/4 of the pizza. his sister ate 1/3 of the pizza. how much pizza did they eat in all
Answer:
Juan and his sister ate 7/12 of the pizza.
Step-by-step explanation:
1/3 + 1/4
(Multiply 1/3 by 4 and 1/4 by 3)
4/12 + 3/12
(Add)
Answer: 7/12
Venn Diagram 7th grade ( I NEEED HELP PLEASE)
Answer:
a= A∪B
b= A'
c= c
d= b
(II) 5= {2,3,4,5,6,7,8,9}
hope it helps!
Expand each logarithm.
log a²
If the expression is log a², then the expansion of this expression looks like 2 log a.
Given that the expression is log a².
We are required to find the expansion of the expression.
The change of base formula gives the way to re-write a logarithm operation as a fraction of logarithms with a new base.
We know that log [tex]a^{b}[/tex]=b log a.
The expression is log a². So,
log a²=2 log a (Power of a will come in front of log)
Hence if the expression is log a², then the expansion of this expression looks like 2 log a.
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identify 6x+3+4x+8 identify
Answer:
10x + 11
Step-by-step explanation:
6x + 3 + 4x + 8x
6x + 11x +4x
What is the slope of the line in the graph below?
Please view picture for the graph! Thank you so much!
Your velocity is 13 feet per second. What's your speed in units?
Answer:
The velocity of 13 feet per second into units is 3.9624 meter per second.
Step-by-step explanation:
It is given in the question that the velocity is 13 feet per second and we need to convert it into units.
Firstly, let us understand what is velocity;
When an item is moving, its velocity is the rate at which its direction is changing as seen from a certain point of view and as measured by a specific unit of time.
Now, let us understand the concept of speed;
Speed, which is a scalar number, is the speed at which an item is moving. Speed can be thought of as the rate at which an object covers distance. A fast-moving object has a high speed and covers a relatively large distance in a short amount of time. This is in contrast to an item travelling slowly, which travels a relatively little distance in the same length of time. Zero speed refers to an item that is not moving at all.
Furthermore, Speed is measured in meters per second. Exactly 3.6 kilometers per hour, or 2.237 miles per hour, equals one meter per second.
After convert the velocity of 13 feet per second into units we get;
=> 13 feet per second = 3.9624 meter per second
Therefore, the velocity of 13 feet per second into units is 3.9624 meter per second.
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Sara has $6.35 to spend at the farmers market on Fruit she has one and 1 1/5 LBS of blueberries and 2 3/4 I’ll be is a strawberry a fruit is on sale for 0.80 per pound dollars per pound she also wants to buy watermelon how much money does it does she have left by the watermelon
Answer:
Step-by-step explanation:
Answer:
sara has to spend at the farmers market
Step-by-step explanation:
Ayuda es urgente . Puntos
Answer:
que aa que quiere uste puntos yo tmbb ayuda
2 Yvonne cut a picture into the shape
of a parallelogram to place into her
scrapbook. The picture is shown.
What is the area of the picture?
12 cm
7.5 cm
Answer:
calculate the area of the triangle first.
12×7.5= your answer
Answer:
12×7.5= your answer
Step-by-step explanation:
Calculate the exact areas of the shapes below
Answer:
A = 364 m²
Step-by-step explanation:
the figure is has 2 pairs of parallel sides and is therefore a parallelogram.
the area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the perpendicular height )
here b = 26 and h = 14 , then
A = 26 × 14 = 364 m²
There are x boys playing in the park. The number of girls playing in the park is ec
number of boys and girls playing in the park is 42, find the number of boys.
A. 36
OB.
49
OC. 7
OD. 6
Answer:
A 36.
Step-by-step explanation:
If x is the number of boys then √x is the number of girls.
x + √x = 42
√x = 42 - x
Squaring both sides:
x = (42 - x)^2
1764 - 84x + x^2 - x = 0
x^2 - 85x + 1764 = 0
(x - 36)(x - 49) = 0
x = number of boys = 49 or 36.
But the total number = 42 so there must be 36 boys. Also √36 = 6 so the answer is 36 boys.
Ben bunu .... Cevabını bulmaya 5+5
Answer:10
Step-by-step explanation:
What letter is the plane?
Answer:
P
Step-by-step explanation:
the fancy looking 'p' in the corner tells you what the plane is labeled
Naomi's burger shack sold a total of 484 hamburgers today. three times as many hamburgers were sold without cheese as were sold with cheese. how many cheeseburgers were sold?
Naomi's burger shack sold a total of 484 hamburgers today .Then 121 cheeseburgers were sold and 363 hamburgers were sold
Naomi's burger shack sold a total of 484 hamburgers today.
three times as many hamburgers were sold without cheese as were sold with cheeseburgers
how many cheeseburgers were sold?
according to the question
Hamburgers (H) + cheeseburgers (C) = 484
C + H = 484
H = 3C
we can solve these equation
C+ 3C = 484
4 C= 484
C = 121
then we can find H by putting the value of C
H = 3* 121 = 363
So, 121 cheeseburgers were sold and 363 hamburgers were sold
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