Answer:
70 +60muinte= 13
Step-by-step explanation:
so that the ans
In h hours you will go 70h far from the original position and domain of the function is the amount of hours you drive option (C) is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
The question is incomplete.
The complete question is:
Driving on the highway, you can safely drive 70 miles per hour. “How far can you drive in ‘h’ hours?” What is the domain of the function which defines this situation?
A.)The amount of gas you use.
B.) 70.
C.) The amount of hours you drive.
D.)The distance you drive
We have:
Driving on the highway, you can safely drive 70 miles per hour.
The speed of the vehicle = 70 miles per hour
As we know,
Distance = speed×time
1 hour → 70 miles
h hour → D miles
D(t) = 70h
The above expression represents the situation.
Thus, in h hours you will go 70h far from the original position and domain of the function is the amount of hours you drive option (C) is correct.
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Sharon is making a large batch of soup. The soup reaches a height of 25 in a cylindrical pot whose diameter is 30cm. To store the soup for later, she'll pour it into ice cube molds where each cube has edges that are 7cm, end text long.
Complete question :
Sharon is making a large batch of soup. The soup reaches a height of 25 in a cylindrical pot whose diameter is 30cm. To store the soup for later, she'll pour it into ice cube molds where each cube has edges that are 7cm long. How many whole cubes can Sharon make?
Answer:
About 51 ice cubes
Step-by-step explanation:
Given the following :
Height (h) of cylindrical pot = 25
Diameter = 30cm
Edge of ice cube = 7cm long
Volume of cylinder (v) = πr^2h
V = π * (30/2)^2 * 25
V = π * 15^2 * 25
V = 17671.458cm^3
Therefore, the soup occupies 17673.75cm^3
Volume of cubes to store the soup for later:
The volume of a cube is given by the formula:
V = a^3
Where a is the length of it's edge
V = 7^3
V = 343cm^3
Number of cubes required to store soup:
(Volume of cylinder / Volume of ice cube)
17671.458cm^3 / 343cm^3
= 51.520287
This is about 51 whole cubes
If the triangle on the grid below is translated three units left and nine units down, what are the coordinates of C prime? On a coordinate plane, triangle A B C has points (negative 1, 0), (negative 5, 2), (negative 1, 2). (–4, –7) (–4, 2) (2, –7) (2, 11)
Answer:
A ( -4, -7)
Step-by-step explanation:
if you translate -1, three units to the left u get -4 and then when u go nine units down u get -7 do it on a grid and u will see wut im talkin about : )
Answer:
A.
Step-by-step explanation:
On a multiple choice test with 13 questions, each question has four possible answers, one of which is correct. For students who guess at all answers, find the standard deviation for the number of correct answers.
Select one:
A. 1.875.
B. 1.53.
C. 1.47.
D. 1.5.
E. 1.561.
Answer: E. 1.561.
Step-by-step explanation:
Given, Total choices for each question =4
Probability that a particular answer is correct : p = [tex]\dfrac{1}{4}=0.25[/tex]
Sample size : n= 13
Formula for standard deviation: [tex]\sigma=\sqrt{np(1-p)}[/tex]
Put all values, we get
[tex]\sigma=\sqrt{13(0.25)(1-0.25)}=\sqrt{13(0.25)(0.75)}[/tex]
[tex]\sigma=\sqrt{2.4375}\approx1.561[/tex]
Hence, the standard deviation is 1.561.
So, the correct option is E.
KN is perpendicular bisector of MQ identify the value of x
Answer:
x = 6
Step-by-step explanation:
Since KN is the perpendicular bisector, that means ∠KNM = ∠KNQ = 90° and MN = NQ so therefore, since they are right triangles, ΔKNM ≅ ΔKNQ because of HL. Therefore, KM = KQ by CPCTC so:
5x - 3 = 3x + 9
2x = 12
x = 6
What are the solutions of the equation (x+2)^2-2x(x+2)-15=0? Use u substitution to solve.
Answer:
3
Step-by-step explanation:
Answer: x = -5 and x = 3
Step-by-step explanation:
on edg
Ami buys x apples and y bananas. The apples cost 15p each and the bananas cost 20p each. The total cost of Ami's apples and bananas is £1.80. a Write an equation for the total cost of Ami's apples and bananas.
Answer:
0.15x + 0.20y = 1.80
Step-by-step explanation:
Here, we are interested in writing an equation for the total cost of the apples and bananas
before we write , kindly understand that 100p = £1
So the cost of apple which is 15p will be 15/100 =£ 0.15
The cost of bananas which is 20p will be 20/100 = £0.2
Thus, the total cost of the apples bought will be number of apples bought * price of apple bought = 0.15 * x = £0.15x
The cost of bananas = number of bananas bought * price of bananas = 0.2 * y = £0.2y
So the total cost of the apples and bananas will be;
0.15x + 0.20y = 1.80
Exercise topic: Permutations and Combinations. A company wants to hire 3 new employees, but there are 8 candidates, 6 of them which are men and 2 are women. If the selection is random: a) In how many different ways can choose new employees? b) In how many different ways can choose a single male candidate? c) In how many different ways can choose at least one male candidate? with procedures. Help me please..
Answer:
(a) 56 ways
(b) 6 ways
(c) 56 ways
Step-by-step explanation:
Given:
candidates: 6 mail, 1 female
number to hire : 3
a) In how many different ways can choose new employees?
use the combination formula to choose r to hire out of n candidates
C(n,r) = C(8,3) = 8! / (3! (8-3)! ) = 40320 / (120*6) = 56 ways
b) In how many different ways can choose a single male candidate?
6 ways to choose a male, one way to choose two female, so 6*1 = 6 ways
c) In how many different ways can choose at least one male candidate?
To choose at least 1 male candidate, we subtract the ways to choose no male candidates out of 56.
Since there are only two females, there is no way to choose 3 female candidates.
In other words, there are 56-0 = 56 ways (as in part (a) ) to hire 3 employees with at least one male candidate.
Calculate NL if a=25, b=27.73, and c=12
Answer:
NL=10.82
Step-by-step explanation:
Start by finding the area of the triangle. We do this by using c as the base.
1/2bh=1/2(12)(25)=150
Now that we know the area is 150, we turn the triangle so b is the base and use the formula again. This time we’re looking for the height, which is NL.
1/2bh=
1/2(27.73)h=150
13.865h=150
h=10.8186
Rounded to the nearest hundredth, it’s NL=10.82
Max and Sven bike away from home in the same direction starting at noon. They bike at constant speeds. Max bikes at xmph and he is ymph faster than Sven. By 4pm, how far ahead of Sven would Max be?
Answer:
Max would be 4y meters ahead by 4pm
Step-by-step explanation:
What we want to calculate here is the difference in the distance they have covered by 4pm given the speed at which they traveled.
Mathematically, distance = speed * time
The time is just the difference between 12 noon and 4pm which is 4 hours
Let’s tackle Max’s
He’s biking at x km/h, so the distance he would have covered by 4pm would be 4 * x = 4x meters
Now let’s tackle Sven
Sven is biking at a speed which is y mph less than Max’s x mph
Thus his speed would be (x-y) mph
His distance covered would be 4(x-y) meters
Now the difference between their bikes distance at 4pm would be;
4x - [4(x-y)]
= 4x -(4x -4y)
4x -4x + 4y
= 4y
Hence, Max would be 4y meters ahead by 4pm
A rectangular solid has edges whose lengths are in the ratio 1:2:3. If the volume of the solid is 864 cubic units, what are the lengths of the solid's edges?
Answer: 5.24 units, 10.48 units , 15.72 units
Step-by-step explanation:
Volume of a rectangular solid is given by :-
V = lwh, where l = length , w= width and h = height
Given: A rectangular solid has edges whose lengths are in the ratio 1:2:3.
Let lengths of the rectangular solid x , 2 x, 3x.
volume of the solid is 864 cubic units
Then, Volume of rectangle = [tex]x (2x)(3x) =864\ \text{cubic units}[/tex]
[tex]\Rightarrow\ 6x^3 = 864\\\\\Rightarrow\ x^3 =144\\\\\Rightarrow\ x=(144)^{\frac{-1}{3}}\approx5.24[/tex]
Lengths of rectangular solid 5.24 units, 2 (5.24) units , 3(5.24) units
= 5.24 units, 10.48 units , 15.72 units
Find the interquartile range for a data set having the five-number summary: 3.5, 10.4, 16, 21.7, 27.7
Answer: 17.75
Step-by-step explanation:
The interquartile range(IQR) is the 3rd quartile - the 1st quartile.
How to get quartiles:
First get the median:
3.5, 10.4, 16, 21.7, 27.7
10.4, 16, 21.7
16
Then find the median of the first half of data(3.5, 10.4)
(3.5+10.4)/2 = 6.95
Then find the median of the last half of data(21.7, 27.7)
(21.7+27.7)/2 = 24.7
Then to get the IQR subtract 6.95 from 24.7 to get 17.75
Hope it helps <3
Answer11.3
Step-by-step explanation:
Since there is an odd amount of values
find you lower median by taking the 3 lower numbers and using the middle number 10.4 (Q1)
then find your higher median with the 3 higher numbers and using the middle number 21.7 (Q3)
Then subtract Q3 - Q1
21.7-10.4 giving you the answer 11.3
what is angle b in this image
Answer:
Step-by-step explanation:
you have the hypotenuse side and adjacent side, so you would use cosine (adj/hyp). since you are trying to find the angle, you use the inverse operation.
put it in the calculator and you should get 0.98176535657.
ANSWER FOR 30 POINTS A 13-foot ladder is leaning against a tree. The bottom of the ladder is 5 feet away from the bottom of the tree. Approximately how high up the tree does the top of the ladder reach?
Answer:
12 feet
Step-by-step explanation:
Use the Pythagorean Theorem to find how high up the tree the top of the ladder reaches.
13 feet - hypotenuse
5 feet - can be a or b
a² + b² = c²
5² + b² = 13²
25 + b² = 169
b² = 144
b = √144
b = 12
The top of the ladder reaches 12 feet up the tree.
Hope that helps.
Answer:
12 ft
Step-by-step explanation:
These circumstances describe a triangle with hypotenuse 13 ft and bottom side 5 ft. The vertical side (height above ground to top of ladder) is to be found. According to the Pythagorean Theorem,
5^2 + (vertical side)^2 = 13 ft = 169, and so
(vertical side) = sqrt( 169 - 25 ) = 144 (ft)
The top of the ladder is s 12 ft above the ground.
Paul has four paper strips of the same length. He glues two of them together with a 4 cm overlap, and the new strip is 36 cm long. He wants to make a 30 cm long strip with the other two strips. How long should the overlap be?
Answer:
10 cm overlap required to make a 30 cm long strip.
Step-by-step explanation:
Given:
Four paper strips of the same length.
Two of them glued together with a 4 cm overlap to make a new strip which is 36 cm long.
To find:
Overlap required to make a strip which is 30 cm long = ?
Solution:
First of all, let us understand the concept of overlap.
Please refer to the attached image.
Let length of each strip be [tex]x[/tex] cm.
Given that there is 4 cm overlap resulting in new strip of length 36 cm.
The overlapping length is counted only once as clear from the figure attached.
So, Let us try to find the equation:
[tex]x +(x-4) = 36\\\Rightarrow 2x=40\\\Rightarrow x = 20\ cm[/tex]
i.e. each strip length is 20 cm.
Now, let us assume, an overlap of 'y' cm is to be made to make a new strip of 30 cm.
The equation will be:
[tex](20-y)+20 =30\\\Rightarrow y = 40-30\\\Rightarrow y = 10\ cm[/tex]
Please answer this in two minutes
Answer:
Step-by-step explanation:
In an isosceles trapezoid, two pairs of adjacent angles are supplementary. It means that the sum of the adjacent angles is 180°
Looking at the diagram, angle X and angle W are adjacent angles. It means that
X + W = 180
Since X = 105, then
105 + W = 180
W = 180 - 105 = 75°
Since W = b + 25°, then
b + 25° = 75
b = 75 - 25 = 50°
Answer: In an isosceles trapezoid, two pairs of adjacent angles are supplementary. It means that the sum of the adjacent angles is 180°Looking at the diagram, angle X and angle W are adjacent angles. It means that X + W = 180Since X = 105, then105 + W = 180W = 180 - 105 = 75°Since W = b + 25°, thenb + 25° = 75b = 75 - 25 = 50°
Step-by-step explanation:
Now that you know the total skid distance (3.8 ft), use the skid-distance formula to find how fast the car was going before it started skidding. How fast was the car traveling before it started skidding? s= sqrt (30 * drag factor * skid distance * braking efficiency)
s= speed
drag factor= 0.90
skid distance= 3.8
braking efficiency= 80% or 0.80
Answer:
9.1 mph
Step-by-step explanation:
Put the numbers in the formula and do the arithmetic.
s = √(30×drag factor×skid distance×braking efficiency)
s = √(30×0.90×3.8×0.80) = √82.08 ≈ 9.06
The car was traveling about 9.1 mph before it started skidding.
What is the volume of the following rectangular prism? *picture shown below*
Answer:
27/2 units^3
Step-by-step explanation:
Formula for volume: l * w * h or a * h because l * w = area.
27/5 ( which is area ) * 5/2 ( the height ) = 27/2
i hope this helps
The volume of the following rectangular prism is 27/2 units^3
We know that the rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.
The volume of a rectangular prism = Length X Width X Height
We are given the dimensions as Length = 5/2
Area = 27/5
Here a * h because l * w = area.
Volume = Length X Width X Height
= area X Width
= 27/5 x 5/2
= 27/2
The volume is 27/2 units^3.
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Abigail and Liza work as carpenters for different companies. Abigail earns $20
per hour at her company and Liza earns $25 per hour at her company. Last
week, Abigail and Liza worked for a total of 30 hours and together earned atotal of $690. How many hours did Liza work last week?
Answer as detailed as possible. Thanks :)
Answer:
L = 18 = hours worked by Lisa
a = 12 = hours worked by Abigail
Step-by-step explanation:
Given the following :
Abigail's earning = $20
Lisa's earning = $25
Last week :
Let number of hours worked by Abigail = a
Number of hours worked by Lisa = L
Total earning = $690
Total hours worked :
a + L = 30 - - - - (1)
To obtain their total earning:
(Lisa's earning per hour * hours worked) + (Abigail's earning per hour * hours worked)). $690
($25 * L) + ($20 * a) = $690
25L + 20a = 690 - - - - (2)
a + L = 30 - - - - (1)
25L + 20a = 690 - - - - (2)
L = 30 - a
25(30 - a) + 20a = 690
750 - 25a + 20a = 690
-5a = 690 - 750
-5a = - 60
a = 12
From (1)
a + L = 30 - - - - (1)
12 + L = 30
L = 30 - 12
L = 18
L = 18 = hours worked by Lisa
a = 12 = hours worked by Abigail
What is the difference between a parallelogram and a rectangle? a Both pairs of opposite sides are congruent and parallel. b Contains four right angles. c The diagonals bisect each other. d Both pairs of opposite angles are congruent.
Answer: A rectangle is a type of parallelogram but there are other parallelograms like rhombi so a parallelogram is not a type of rectangle
S and T are two-digit positive integers that have the same digits but in reverse order. If the positive difference between S and T is less than 40, what is the greatest possible value of S minus T
Answer :Answer: Did you get helped on this one?
Step-by-step explanation: okay yup yup have a good day OKAY
Step-by-step explanation: HAVE A GOOD ONE OKAY
ASAP! I really need help with this question! Please do not send nonsense answers. Full solutions please!
Answer:
first option
Step-by-step explanation:
Given
[tex]\frac{15}{x}[/tex] + 6 = [tex]\frac{9}{x^2}[/tex]
Multiply through by x² to clear the fractions
15x + 6x² = 9 ( subtract 9 from both sides )
6x² + 15x - 9 = 0 ( divide through by 3 )
2x² + 5x - 3 = 0 ← in standard form
Consider the factors of the product of the coefficient of x² and the constant term which sum to give the coefficient of the x- term.
product = 2 × - 3 = - 6 and sum = + 5
The factors are + 6 and - 1
Use these factors to slit the x- term
2x² + 6x - x - 3 = 0 ( factor the first/second and third/fourth terms )
2x(x + 3) - 1(x + 3) = 0 ← factor out (x + 3) from each term
(x + 3)(2x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
2x - 1 = 0 ⇒ 2x = 1 ⇒ x = 0.5
Solution set is { - 3, 0.5 }
help me please ? thank you
Answer:
what are you going to do with that?
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
[tex]\boxed{F(x)>0}[/tex]
Step-by-step explanation:
The range is the set of possible values of y (the output).
The input value x is all real numbers, because there are no restrictions on x.
When the input x is all real numbers, the output is always greater than 0.
[tex]2^{-15}= 0.00003051757[/tex]
[tex]2^{8}= 256[/tex]
[tex]2^{-4}= 0.0625[/tex]
Hey loves!!! Can any of you lovely people help me with my math?
Answer:
SAA or AAS
Step-by-step explanation:
∠BAC = ∠BCA Given
∠BDA = 90° and ∠BDC = 90° Given
∠BDA = ∠BDC All 90° angles are congruent
BD = DB Reflexive property
ΔADB = ΔCDB SAA
What is the slope of the line on the graph below? On a coordinate plane, a line goes through points (negative 2, negative 3), (negative 1, negative 1), (0, 1) and (1, 3). –One-half One-half 1 2
Answer:
2
Step-by-step explanation:
We can use 2 points to find the slope
m = (y2 -y1)/(x2-x1)
Using ( 0,1) and (1,3)
= (3-1)/(1-0)
= 2/1
= 2
Answer:
2
Step-by-step explanation:
Take any two points -- I'm using (0, 1) and (1, 3). You can think of slope as (change in y)/(change in x), or simply rise/run. (3-1)/(1-0) is equal to 2.
*Note: (-1/2,1/2) is not in the same line as the other four points.
what is the value of "c" by completing the square. x^2 - 14x +
Answer:
[tex]\large\boxed{\sf \ \ 49 \ \ }[/tex]
Step-by-step explanation:
Hello,
we need to get the discriminant = 0 meaning
[tex]\Delta = b^2-4ac = 0\\\\<=>14^2-4c=0\\\\<=>c=\dfrac{196}{4}=49[/tex]
And then the square is
[tex]x^2-2\cdot 7\cdot x+7^2=(x-7)^2[/tex]
Hope this helps
In rectangle ABCD the diagonals intersect each other at point O and m∠ABD=30°. Find BC if AC = 16 in....
Answer:
BC = 8
Step-by-step explanation:
16 ( sin 30 degrees ) = BC
16 (0.5)
16/2
BC = 8
Give the other person brainliest they deserve it.
I need the answer to solving for x. I dont remember how to do these problems and I can't get it wrong because im in Summer school x/3≤−6
Answer:
x is less than or equal to -18
Step-by-step explanation:
When doing this problem, I had to do -6 x 3 and x/3 x 3. This should cancel out the 3 in x/3, leaving you with just x. -6 x 3 is less or equal to -18. To check, I converted -18/3 into a whole number, which gave me -6. This is true to the original inequality. Hope this helped!
A car manufacturer wants to analyze the safety features of 7 different car models by comparing each model with every other model. If each comparison costs $4,000, how much will the manufacturer spend altogether?
Answer:
28,000
Step-by-step explanation:
multiply 7 cars with 4,000
Represent the expression (1×10,000)
Answer:
10,000
Step-by-step explanation:
1 * 10,000 = 10,000
Answer:
10000 = 1 *10^4
Step-by-step explanation:
1* 10000
10000
In scientific notation
There are 4 zeros
1 * 10 ^4