All digits in a dropdown number are different and one of its digits is the average of all its digits. It has at least two digits. For example, 5021 is a dropdown number, but neither 4389 nor 6033 is a dropdown number. a Find the smallest dropdown number.
The dropdown numbers is an illustration of combination
The smallest dropdown number is 1025
How to determine the smallest dropdown number?From the question, we have the following parameters:
The dropdown number is 4-digitThe digits are different.We start counting from 1023, 1024, 1025, 1026...........
The sum of digits in 1023 is 6, and the average is 1.5The sum of digits in 1024 is 7, and the average is 1.75The sum of digits in 1025 is 8, and the average is 2The number 1025 satisfies the given conditions
Hence, the smallest dropdown number is 1025
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solve general solutions
[tex] \sqrt{3tan \:} (2x - 10) + 1 = 0[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{3tan(2x-10)}+1=0[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{3tan(2x-10)}=-1[/tex]
[tex]\\ \rm\Rrightarrow 3tan(2x+10)=1[/tex]
[tex]\\ \rm\Rrightarrow tan(2x+10)=1/3[/tex]
1/3=0.33..tan^{-1}(0.33)≈18[tex]\\ \rm\Rrightarrow 2x+10=18[/tex]
[tex]\\ \rm\Rrightarrow 2x=8[/tex]
[tex]\\ \rm\Rrightarrow x=4[/tex]
two boxes are stacked one on top of the other. one box is 5 feet 3 inches tall, and the other is 5 feet 10 inches tall. how high is the stacks?
helpppppppppppppp this is hardddddddddd
Answer:
#1: 4) D
#2: 1) 34.89 = 3 × C
#3: 4) 6y + 18
Step-by-step explanation:
#1
Using the distributive property:
3 × 5z = 15z
3 × -3 = -9
The correct expression is 15z - 9. Hence, D is the right option.
#2
You need to find the cost of each box.
3 × C = 34.89
34.89 ÷ 3 = 11.63
3 × 11.63 = 34.89
Hence, 1) is the right option.
#3
Using the distributive property:
6 × y = 6y
6 × 3 = 18
The expression is 6y + 18. Hence, 4) is the right option.
hope this helps!! p.s. i really need brainliest :)
5 1/3 - 2/3 ( this is fractions)
5 1/3 - 2/3
= (5 – 0) + (1/3-2/3)
= 5 + 1-2/3
= 5 +-1/3
= 4 2/3
in fraction:
= 4 2/3
in decimal:
= 4.6666666666667
b) x2 - 2x - 3
I need help with factorising :/
I know that answer
..............please mark as brainliest
PLEASE HELP (questions in photo) I’ll mark brainliest
Answer:
a) 405, -315 b) 540, -180 c)195, -525
Step-by-step explanation:
a) 45+360= 405, 45-360=-315
b) 180+360=540, 180-360=-180
c) -165+360=195, -165-360=-525
hope this helped
Fatima will go to the swimming pool 15 days this month. A one day pass is $2.25. A monthly pass is $25. How much money will Fatima save by buying a monthly pass?
A. $33.75
B. $8.75
C. $7.75
D. $6.00
Answer:
B. 8.75
Step-by-step explanation:
the $120 repair bill included $36
parts and the rest for labor.
hat percent of the bill was for
labor?
Answer:
Step-by-step explanation:
36/120 for parts
x-36/120 is for labour
x = 120
120-36/120
84/120
times by 100 for percent
70%
help me in this question
Answer:
1.63 cm
Step-by-step explanation:
Volume of water in Tank A
7 x 7 x 7343 cm³Volume of Tank B
15 x 14 x 10210 x 102100 cm³Finding Height
Volume of water of Tank A filled in Tank B / Base Area of Tank B343 / 2101.63 cmAnswer:
1.63 cm (nearest hundredth)
Step-by-step explanation:
Formulae
Volume of a cuboid = base width × base length × height
Area of a rectangle = width × length
Tank A
Given:
base width = 7 cmbase length = 7 cmheight = 7 cm⇒ Volume of Tank A = 7 × 7 × 7 = 343 cm³
Tank B
⇒ Base area of Tank B = 14 × 15 = 210 cm²
Solution
Height = volume of Tank A ÷ base area of Tank B
= 343 ÷ 210
= 49/30 cm
= 1.63 cm (nearest hundredth)
Leah drank
2 thirds of
liter of water Monday before going jogging. She drank
3
fourths
liter of water after her jog. How much water did Leah drink altogether? Write your answer as a mixed number. ( kinda got confused on this)
Answer:
17/12=1 5/12
Step-by-step explanation:
the addition of 2/3+3/4=17/12=~1 5/12
Multiply the binomials:
(3x+4)(5x-2)
Answer:
15x^2 + 14x - 8.
Step-by-step explanation:
(3x + 4)(5x - 2)
= 3x(5x - 2) + 4(5x - 2)
= 3x*5x + 3x*-2 + 4*5x + 4*-2
= 15x^2 - 6x + 20x - 8
= 15x^2 + 14x - 8.
A science test was given to boys and girls from three different schools. Rudolph, a junior researcher, wants to analyze the difference in the variability of the mean scores among the three schools. The appropriate statistical test would be the
The appropraite statistical test that would be used to measure the difference in the variability of the mean scores among the three schools is mean absolute deviation.
What is the mean absolute deviation?
Mean absolute deviation is the average of the absolute difference between the data set and its mean. Mean absolute deviation is used to measure spread.
MAD = [tex]\frac{1}{n}[/tex]∑ l x - m(x) l
Where:
x = data set m = meanTo learn more about mean absolute deviation, please check: https://brainly.com/question/27365177
HELPPP WHATS THE AREA
Answer:
Area of the trapezoid is 120
1. If ∠KAT and ∠GIF are supplementary angles then_________. *
A. they are both acute
B. one is acute and the other is obtuse
C. they must both measure 90º
D. no determination can be made
2.If ∠DEF and ∠IPN are congruent, they are_________. *
A. complementary angles
B. right angles
C. supplementary angles
D. no determination can be made
3.If the sides of a triangle measure 3, 4 and 5, then the triangle is__________. *
A. acute
B. right
C. obtuse
D. scalene
4. If two sides of a triangle measure 4 and 14, and an angle measures 34º, then the triangle is_________. *
1 point
A. acute
B. right
C. obtuse
D. it cannot be determined
Answer:
1. B. one is acute and the other is obtuse
2. D. no determination can be made
3. B. right
4. D. it cannot be determined
Step-by-step explanation:
1. If ∠KAT and ∠GIF are supplementary angles then one is acute and the other is obtuse
example : m∠KAT = 70° and m∠GIF = 110°
2.If ∠DEF and ∠IPN are congruent, they are no determination can be made
counter-example:
m∠DEF = 50° and m∠IPN = 50°
3.If the sides of a triangle measure 3, 4 and 5, then the triangle is right
because : 5² = 3² + 4²
4. If two sides of a triangle measure 4 and 14, and an angle measures 34º, then the triangle is it cannot be determined
sabir makes a chart to track the total calories he burns on the treadmill Flow
the chart below to show how many calories Sabir will have burned after following
his morning treadmill workout for seven days.
25 50 75 100 125 150 175 200 225 250 275 300 325 350 375 400 425 450 475 500 525 550 575 600 625
Calories Burned This Week
To know how many calories has Sabir burned in his workout, first identify the calories he burnt every day, and then add them.
How to know the total of calories Sabir has burned?The total of calories burnt is equal to adding the calories burnt everyday:
Total = day one calories + day two calories + day three calories, etc.Due to this, the steps recommended are:
Identify the number of calories he burned everyday.Add these results to obtain the total.Here is a hypothetical example:
Day 1: 250 calorieDay 2: 420 caloriesDay 3: 560 caloriesDay 4: 210 caloriesDay 5: 340 caloriesDay 6: 510 caloriesDay 7: 120 calories250+420+560+210+340+510+120 = 2410 calories.
Note: This question is incomplete because the chart is not given; due to this, the answer is based on general knowledge.
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pls help
x values: -7, -2, 3, 8,
y values: 1, 2, 6, 12,
Is the relationship linear, exponential, or neither?
The perimeter of a rhombus is 84 inches. one
diagonal is 12 inches. find the area of the
rhombus. round your answer to the nearest
hundredth if necessary.
Answer: 241.5 square inches
Step-by-step explanation:
Is the function is even, odd or neither? How do you know?
Answer:
Step-by-step explanation:
A function is even if [tex]f(x)=f(-x)[/tex], or if the graph has a rotational symmetry about the x-axis. A function is odd if [tex]f(x)=-f(-x)[/tex]. For example, if you were to reflect that graph about the y-axis. Would it present symmetry?
From the graph we know from the fundamental theorem of Algebra that since f has 3 distinct roots, and changes directions three times, we are dealing with a cubic equation in the form of [tex]f(x)=x(x+2)(x-2)[/tex]
Since the equation is known, try the formulas
First, test for an even function, [tex]f(x)=f(-x)[/tex], this means that for our function, f, [tex]f(2)=f(-2)[/tex] see if this holds true
[tex]2(2+2)(2-2) = -2(-2+2)(-2-2)\\2(4)(0)=-2(0)(-4)\\0 = 0[/tex]
This means that the function is even.
How can you rewrite (z ≤ −1.75) in order to find the answer?
We can rewrite (z ≤ −1.75) in order to 4%.
We have given that (z ≤ −1.75).
We have to use the Normal Distribution is symmetrical
What is the Normal Distribution is symmetrical?The normal distribution is symmetric and has a skewness of zero.
[tex]P(z \leq -1.75)[/tex]
[tex]P(z > > 1.75)[/tex]
[tex]1 - P(z \leq 1.75)[/tex]
[tex]1 - 0.9599[/tex]
[tex]0.04001 \times 100=4.001 \%[/tex]
That is nothing but the 4%
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Answer:
D: 1 - P(z [tex]\leq[/tex] 1.75).4%Step-by-step explanation:
5 less than 8 in expression
Answer:
3
Step-by-step explanation:
If you deduct 5 from 8, you get the answer to 5 less than 8.
"5 less than 8" means we subtract 5 from 8:-
8-5
That's the expression :)
Simplify the expression:-
3
So if we have less than a number, we subtract that number.
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
the mean of 4,8,9,x,2 is 6. calculate the value of x
Answer:
7
Step-by-step explanation:
the mean is (the sum of numbers in a data set)/(# of points in that data set).
So,
[tex]\frac{4+8+9+x+2}{5} = 6[/tex],
[tex]\frac{23+x}{5} = 6[/tex],
23+x = 6*5
23+x = 30
x= 30-23
x = 7
Hence, the value of x is 7.
Hope this helps!!!
Also, please mark as brainliest!!!
Determine which sets of lengths can form a right triangle
A bag contains 24 ounces of soil. You use 2 7/8 ounces of soil to plant 1 herb.Is there enough soil in the bad to plant 8 herbs?
Answer:
There's enough soil to plant 8 herbs.
Step-by-step explanation:
24 ÷ 2 7/8 = 8.3
This shows that there's enough soil to plant 8 herbs.
please help!!! I need this and I also don't understand
Answer:
ABGE is a parallelogram because it has congruent sides
Step-by-step explanation:
:-)
A cafe offers 3 sides with the lunch special. A customer can choose from rice, green beans, carrots, salad, and corn. How many different combinations are possible?
6
5
10
8
Answer:
10
Step-by-step explanation:
5! / (3! 2!)
[tex] \frac{5 \times 4 \times 3}{3 \times 2 \times 1} = 10[/tex]
What is the measure of angle 1?
90
Step-by-step explanation:
It's a right-angle triangle
Hope this helps!
WILL GIVE BRAINLIEST!! Find the component form of the vector v with magnitude 6 and direction angle 235º
a.<4.91, -3.44>
b.<0.10, -0.14>
c.<-3.44,-4.91>
d.<-4.89, 3.48>
Answer:
d
Step-by-step explanation:
components of a vector is given as
X=vcos■ y= vsin■
substitute the substitute the vector into v and the angle into ■
hence x=-4.89
and y= 3.48
yoooo somebody help me please!!
Answer:
the answer is 202 square inch
Step-by-step explanation:
Ref. to the diagram I have attached.
First, we can find the area of the square.
Here the side of the square is given 4 inches.
1. So Area of the square= side * side= 4*4= 16 square inches.
Now let's find the area of the smaller rectangle. Now here,
As one side of the square is the same as the breadth of the rectangle, the breadth of the rectangle will be 4 inches, and the length is given 9 inches.
2. So, Area of the smaller rectangle= length* breadth= 9*4= 36 square inches.
Now, lastly, we will find the area of the bigger rectangle:
Here, the length will be 15 inches and the breadth will be 10 inches (as the opposite sides in a rectangle are equal and the values are already given).
3. ∴ Area of bigger rectangle= l*b= 15*10= 150 square inches.
So now,
To find the total area of the figure, we need to add all the areas:
36+ 16+ 150= 202 square in.
ANSWER IS 202 sq. in.
I know it's a bit long and boring to read, but hope it helps!!
Nevaeh spots an airplane on radar that is currently approaching in a straight line, and
that will fly directly overhead. The plane maintains a constant altitude of 7475 feet.
Nevaeh initially measures an angle of elevation of 16° to the plane at point A. At
some later time, she measures an angle of elevation of 43° to the plane at point B.
Find the distance the plane traveled from point A to point B. Round your answer to
the nearest tenth of a foot if necessary.
INTL
0
Using the slope concept, it is found that the distance the plane traveled from point A to point B was of 18052.4 ft.
What is a slope?The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
At point A, the vertical change is of 7475 ft, with an angle of 16º, hence the equation below can be solved to find the position:
[tex]\tan{16^\circ} = \frac{7475}{x_A}[/tex]
[tex]x_A = \frac{7475}{\tan{16^\circ}}[/tex]
[tex]x_A = 26068.4[/tex]
At point B, the angle is of 43º, hence:
[tex]\tan{43^\circ} = \frac{7475}{x_B}[/tex]
[tex]x_B = \frac{7475}{\tan{43^\circ}}[/tex]
[tex]x_B = 8016[/tex]
Hence, the distance in feet is given by:
[tex]d = x_A - x_B = 26068.4 - 8016 = 18052.4[/tex]
More can be learned about the slope concept at https://brainly.com/question/18090623