A typhoon at P is 382 km away from city H at 8 p.m. The compass bearing of P from H is N28°W and the typhoon moves in the direction S15°W at a constant speed of 28 km/h. Find the shortest distance between the typhoon and city H.
What are the zeros of the polynomial function f(x) = x3 + x2 − 42x?
A. −7, 6
B. −6, 7
C. −6, 0, 7
D. −7, 0, 6
Answer:
D. -7, 0, 6
Step-by-step explanation:
[tex]x^3+x^2-42x=0[/tex]
[tex]x(x^2+x-42)=0[/tex]
[tex]x(x^2-6x+7x-42)=0[/tex]
[tex]x(x-6)(x+7)=0[/tex]
ZEROS:
x = 0
x = 6
x = -7
Hope this helps!
Find three different ways to write the number 437000 as a multiple of a power of 10
Answer:
4370*10^2
437*10^3
43.7*10^4
Which numbers are not perfect squares?
24
25
14
36
18
20
16
Answer:
20, 18,14,24 are not perfect squares.
Answer:
24, 14, 18, 20
Step-by-step explanation:
A perfect square is a number that can be expressed as the product of two equal integers. Numbers 24, 14, 18, and 20 are not products of any equal numbers. The rest are.
5 x 5 = 25
6 x 6 = 36
4 x 4 = 16
hope this helps!
What should I put in A, B?
Should I put 5 or 1 in A ?
9 or 4 in B?
Answer:
n(A) = 5 and n(B) = 9
Step-by-step explanation:
It should be 5 in A and 9 in B
Answer the question below!
Answer:
1000
Step-by-step explanation:
High school only - 1019 and round to the nearest thousand
B. Simplify Each Radical Expression. Leave in radical form. (Do not use decimals.)
3. 4[√(3)] - 7[√(3)]
[tex]4\sqrt 3 - 7 \sqrt 3\\\\=(4-7) \sqrt 3\\\\=-3\sqrt 3[/tex]
Bill would have the same amount of money as Angela if he gave her $8. If
Angela gave $8 to Bill, then she would have half the amount of money that
Bill has. How much money did Bill have at the beginning? How much did
Angela have in the beginning?
Answer:
in the beginning bill have 8$
Step-by-step explanation:
8$
In her free time, Isabelle likes to read. She kept track of the number of pages in each book she read last summer. This box plot shows the results.
Book pages
100
150
200
250
300
350
What fraction of the books had 200 or fewer pages?
Answer: 1/2
Step-by-step explanation:
I took the ixl and I put 1/3 but it was actually 1/2
The fraction of books which had 200 or fewer pages is given by A = 1/2
What is box plot?A box and whisker plot, often known as a box plot, shows a data set's five-number summary. The minimum, first quartile, median, third quartile, and maximum make up the five-number summary.
A box is drawn from the first quartile to the third quartile in a box plot. At the median, a vertical line passes through the box.
It is used when showing the distribution of data points across a selected measure and if the box in a box plot is stretched in one direction or the other, then the data is skewed in that direction.
Given data ,
Isabelle kept track of the number of pages in each book she read last summer
Now , let the box plot be represented as A
Now , the first and third quartile along with the median is given below ;
So , the fraction of books which had 200 or fewer books is given by A = 1/2
Hence , the box plot is solved and the fraction is A = 1/2
To learn more about box plot click :
https://brainly.com/question/1523909
#SPJ2
! Find the Length of AB
x = 7
hope it helps...!!!
The United States has an approximate population of
3.3 x 10^8people. Each person in the Unitd States
consumes an average of about 14.000 grams of rice
per year.
Brazil has an approximate population 2.1 x 10^8
people. Each person in Brazil consumes an average of
about 5 x 10^4 grams per year.
How many times as many grams of rice does each
person consume an average in Brazil as in the United
States> Round your answer to the nearest tenth.
Using proportions, it is found that each person consumes 3.57 times as many rice in Brazil and they do in the United States.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, we have that:
The rate in Brazil is of [tex]5 \times 10^4[/tex].The rate in the United States is of [tex]14000 = 1.4 \times 10^4[/tex].Hence, the rate between the consumption in Brazil and in the United States is given by:
[tex]r = \frac{5 \times 10^4}{1.4 \times 10^4} = 3.57[/tex]
Each person consumes 3.57 times as many rice in Brazil and they do in the United States.
More can be learned about proportions at https://brainly.com/question/24372153
two differences between hybris fruits and local fruits.
Answer:
Native vegetable varieties are being organically cultivated by local farmers for hundreds of years. It is always recommended to regularly consume native vegetables where you belong to. Hybrids on the other hand are superior varieties of same vegetable species artificially crossed & developed by humans.
Step-by-step explanation:
Please, I need an answer to this question.
Which equation is equivalent to 7(r + 4) - 3?
7*r+7*4*3
7*r*7*4-3
7*r+7*4-3
7*r+7*4
Answer: Choice C
7*r+7*4-3
=========================================================
Reason:
We use the distributive property to go from 7(r+4) to 7*r+7*4
Multiply the outer 7 by each term inside.
Then the -3 tags along without any changes to it
So we go from 7(r+4) - 3 to 7*r+7*4 - 3
This can be simplified further to 7r+25, but your teacher has chosen not to simplify at this time.
Chris finished doing chores at 10:28 AM.
He started at 8 :54 AM.
How long was he doing chores?
Answer:
94 minutes
Step-by-step explanation:
To get to 9:00, we add 6 minutes. From 9 to 10, there's 60 minutes. From 10 to 10:28, there's 28 minutes.
If we add them all together we get 94 minutes or 1 hour and 34 minutes.
Hope this helps.
Answer:
1:34 hours
Step-by-step explanation:
Step 1: Determine how long was Chris doing chores
10:28 AM - 8:54 AM
9:88 AM - 8:54 AM
1:34 hours
Answer: 1:34 hours
What is the area of the shaded region?
Answer:
A = 59 in²
Step-by-step explanation:
the area (A) of the shaded region is calculated as
A = area of outer triangle - area of inner triangle
= [tex]\frac{1}{2}[/tex] bh - [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
= [tex]\frac{1}{2}[/tex] × 13 × 14 - [tex]\frac{1}{2}[/tex] × 8 × 8
= 91 - 32
= 59 in²
I need help with 21 22 and 23
Hope this helps :)
Answers:
This can be found by using the combinations and permutations formulas.
Combinations being the C equation and Permutations being the P equation.
21: [tex]C_{6}(21) = \left[\begin{array}{ccc}21\\6\end{array}\right] =\frac{21!}{6!(21-6)!}=\frac{21*20*19*18*17*16}{6*5*4*3*2*1} = 54264[/tex]
answer: 54264
22: [tex]C_{2}(n) = \left[\begin{array}{ccc}n\\2\end{array}\right] =\frac{n!}{2!(n-2)!}= answer[/tex]
answers:
Art: 15
Writing: 21
Technology: 28
23: [tex]P(n,r)=\frac{6!}{(6-6)!}=720[/tex]
answer: 720
Explanation:
A permutation is an act of arranging the objects or numbers in order. Combinations are the way of selecting the objects or numbers from a group of objects or collection, in such a way that the order of the objects does not matter.
a trapezoid has a base of 32 inches and 14 inches and a height of 25 inches
Answer:
575 if your asking for the area
Step-by-step explanation:
HELP ASAP!!
Below is the graph of y equation y=-|x-2|+3. Use this graph to find all values of x given each statement.
a) -|x-2|+3>0
b) -|x-2|+3<0
c) -|x-2|+3=0
Thank you!
Answer:
Step-by-step explanation:
a) x<5 and x>−1
b)x<-1,x>5
c)x=5,x=-1
For the equation:
y=-|x-2|+3 values of x for below cases are :
a) -|x-2|+3>0 , x ∈ (-1 , 5)
b) -|x-2|+3<0 , x ∈ R - [-1 , 5] or x ∈ (-∞ , - 1) U ( 5 , ∞)
c)-|x-2|+3=0 , x ∈ {-1 , 5}
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
Graph of the equation:
⇒ y = -|x-2| + 3
To Find: Values of x in below cases:
a) -|x-2|+3>0
b) -|x-2|+3<0
c)-|x-2|+3=0
Solution:
a) -|x-2|+3>0
y=-|x-2|+3
⇒ y > 0
Hence, From the graph y > 0 when x ∈ (-1 , 5)
without using graph :
- |x - 2| + 3 > 0
3 > | x - 2|
| x - 2 | < 3
Case 1 : x - 2 > 0
x - 2 < 3
x < 5
Case2 : x - 2 < 0
x - 2 > - 3
x > - 1
b) -|x-2|+3<0
y=-|x-2|+3
y < 0
From the graph y > 0 when x < - 1 or x > 5
x ∈ R - [-1 , 5]
or, x ∈ (-∞ , - 1) U ( 5 , ∞)
without using graph :
-|x-2|+3<0
3 < | x - 2|
| x - 2 | > 3
case 1 : x - 2 > 0
x - 2 > 3
x > 5
case 2 : x - 2 < 0
x - 2 < - 3
x < - 1
a) -|x-2|+3=0
y=-|x-2|+3
y = 0
From the graph y = 0 when x = -1 and 5
x ∈ {-1 , 5}
without using graph :
-|x-2|+3=0
3 = | x - 2|
| x - 2 | = 3
case 1 : x - 2 = 3
x = 5
case 2 : x - 2 = - 3
x = - 1
Thus, For the equation: y=-|x-2|+3 values of x for below cases are :
a) -|x-2|+3>0 , x ∈ (-1 , 5)
b) -|x-2|+3<0 , x ∈ R - [-1 , 5] or x ∈ (-∞ , - 1) U ( 5 , ∞)
c)-|x-2|+3=0 , x ∈ {-1 , 5}
Learn more about the function visit:
https://brainly.com/question/11624077
#SPJ2
meter and area of the figure.
6x + 2
and A=
Answer:
o
Step-by-step explanation:
because 6x is B and 2 is C so that means A 0
And that includes the point (-5’2) has a slope of -4. what is its equation in point slope form?
Answer:
The equation of the line in point-slope form is y - 2 = -4(x + 5).
Step-by-step explanation:
Use the point-slope equation: [tex]y-y_1=m(x-x_1)[/tex].
Substitute the point (-5, 2) and the slope m = -4 into the equation.
[tex]y-(2) = -4(x - (-5))[/tex][tex]y-2=-4(x+5)[/tex]If we stop here, this is the equation of the line in point-slope form.
please help meeeee I'm giving 30 points, but you have to actually put the steps and reasons
Statements:
1. m<DHF = m<EHG
2. m<1 = m<1
3. m<2 + m<1 = m<DHE
m<3+ m<1 = m<EHG
4. m<2 + m<1 = m<3 + m<1
5. m<2 = m<3
Reasons:
1. Given
2. reflective property
3. Angle addition postulate
4. substitution
5. subtraction property of equality
Zack and Antonio are on the track team. Zack ran 108 miles over 9 weeks, running the same distance each week. Antonio ran 91 miles over 7 weeks, running the same distance each week. Which statement correctly compares the numbers of miles per week they ran?
Answer:
zack ran 17 more miles per week than antonio
Step-by-step explanation:
Which of these fractions below are equivalent to 3/4?
A) 12/16
B) 6/8
C) 15/20
D) 20/28
E) 24/32
A? B? C? D? OR E?
5 starts the first person to answer me!!!
Hey there!
3/4
= 3 ÷ 4
= 0.75
= 75%
Option A.
12/16
= 12 ÷ 2 / 16 ÷ 2
= 6 / 8
= 6 ÷ 8
= 0.75
= 75%
Thus, this statement is: TRUE
Option B.
6/8
= 6 ÷ 2 / 8 ÷ 2
= 3 / 4
= 3 ÷ 4
= 0.75
= 75%
Thus, this statement is: TRUE
Option C.
15/20
= 15 ÷ 5 / 20 ÷ 5
= 3 / 4
= 3 ÷ 4
= 0.75
= 75%
Thus, this statement is: TRUE
Option D.
20/28
= 20 ÷ 2 / 28 ÷ 2
= 10 / 14
= 10 ÷ 2 / 14 ÷ 2
= 5 / 7
= 0.714286
= 71.4286%
Thus, this statement is: FALSE
Option E.
24/32
= 24 ÷ 2 / 32 ÷ 2
= 12 / 16
= 12 ÷ 4 / 16 ÷ 4
= 3 / 4
= 3 ÷ 4
= 0.75
= 75%
Thus, this statement is: TRUE
Therefore, your answers are
• Option A. 12/16
• Option B. 6/8
• Option C. 15/20
• Option E. 24/32
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
which expressions are equivalent to 4x^2-25? Select all that apply
5
7. Julia's favorite snack comes in a box shaped like right triangular prism. The dimensions of the prism
are shown in centimeters (cm) below.
14.4 cm
2:6 cm
3.0 cm
V = Bh
What is the volume of the box? Round your answer to the nearest whole number.
A. 43 cm3
B. 56 cm3
C. 112 cm3
D. 137 cm3
Answer: C
Step-by-step explanation:
solve for w and y
w=
y=
Answer:
w=√200 (or 14.14)
y=20
yea pretty simple its just the Pythagorean theorem and the fact that a triangle with equal base angles is isosceles triangle
richard walks a distance of 4km to school in an hour. how far can he walk in 5 and a half hours
Answer:
22km
Step-by-step explanation:
5 x 4 = 20
1 x 4= 4
4 divided by 2 is 2
20+2=22km
what is the correct answers NEED ANSWER ASAP
Answer:
Your Answer is 11 inches by 2 inches
Step-by-step explanation:
Area of Rectangle: Area = Length * Width
Given information:
Area = 22 in^2Length = 2x - 1Width = x - 4Put that into the Formula.
Area = Length * Width
22 in^2 = (2x - 1) * (x - 4)
Solve.
22 in^2 = (2x - 1) * (x - 4)
[tex]22 = (2x^2 - 9x + 4)\\2x^2 - 9x - 18 = 0[/tex]
Factor it.
(2x^2 - 9x - 18) = 0
(2x + 3)(x-6) = 0
[tex]x=-\frac{3}{2} ,6[/tex]
Plug that into the Length and Width to find the actually Length and Width.
Length:
[tex]2x - 1\\2*-\frac{3}{2}-1\\ -3-1\\-4\\[/tex]
Width:
[tex]x - 4\\-\frac{3}{2}-4\\ -\frac{11}{2}[/tex]
Area = Length * Width
Area = - 4* -11/2
Area = 22
Length:
[tex]2x - 1\\2*6-1\\ 12-1\\11\\[/tex]
Width:
[tex]x- 4\\6-4\\ 2[/tex]
Area = Length * Width
Area = 11 * 2
Area = 22 in^2
The value of y is directly proportional to the value of x. If y = 45 when x = 140, what is the value of y when x = 70?
Step-by-step explanation:
Y is directly proportional to X" can be rewritten as a mathematical expression of the form Y = KX
"K" is the constant of proportionality and must be determined from the initial information.
If Y = 45 when X=140 means 45 = 140K
K = 45/140 = 0.32
Now that we know the value of K, we can use it to calculate the value of Y when X=70
Y = (0.32)(70) = 22.4