A plane flying overhead at night is located by two
searchlights as shown at right. The two
searchlights are 1200 feet apart. Angle A = 72°
and angle B = 77º. How high is the plane?
Answer:
Step-by-step explanation:
B
2
3
Let the distance of two consecutive stones are x, x+1.
In ΔBCD, we have
tan60
o
=
x
h
⇒x=
3
h
.....(i)
In ΔABC, we have
tan30
o
=
x+1
h
⇒
3
1
=
x+1
h
⇒
3
h
+1=
3
h ......[from equation (i)]
⇒
3
2h
=1
⇒h=
2
3
km
solution
In a Sample, 54 out of 75 middle school students said that they are going to the school carnival. Based on this sample, approximately how many of the 750 middle school students are going to the carnival?
Answer:
540 middle school students.
Step-by-step explanation:
54/75 equals x/750. 75 times 10 equals 750 so 54 times 10 equals 540 middle school students
slove for x: 27x^3/4=125
Answer:
[tex]x=\sqrt[3]{\frac{500}{27}}[/tex]≈ [tex]2.64566842[/tex]
Step-by-step explanation:
[tex]\frac{27x^{3}}{4}=125\\27x^{3}=125*4\\27x^{3}=500\\x^{3}=\frac{500}{27}\\x=\sqrt[3]{\frac{500}{27}}[/tex]
An approximation in decimal form would be as follows:
[tex]x=\sqrt[3]{\frac{500}{27}}[/tex]≈ [tex]2.64566842[/tex]
What types of problems are more common among people who do not have their finances under control?
Answer:
They can suffer from a lot of stress and their relationships won't last.
Step-by-step explanation:
Hope this helps!
Which type of parent function does the equation f(x) = va represent?
A. Cube root
B. Reciprocal
C. Square root
D. Absolute value
Answer:
reciprocal
Step-by-step explanation:
The function f(x) = √x is represented by the square root type of parent function.
What is Square Root?Square root of a number is the value such that the value when multiplied to itself two times gives the original number.
It is denoted by the symbol √.
Given function is,
f(x) = √x
Here for any value of x, the function is mapped to √x.
That is, the function is mapped to the square root of the x.
Thus it is a square root function.
Hence the function is the square root function.
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Sally hopes to buy a 2 boat trailer for about $25,000. Describe all the numbers that when rounded to the nearest hundred are 25,000
Answer:
i think it will be 12,050?
Step-by-step explanation:
If using the method of completing the square to solve the quadratic equation x^2-19x+9=0x
2
−19x+9=0, which number would have to be added to "complete the square"?
I am thinking of a number.
My number is a multiple of 8
What three other number must my number be a multiple of?
Answer:
1, 2, and 4.
Step-by-step explanation:
Have a nice day! :-)
Simplify 56:40:16 (show your working)
9514 1404 393
Answer:
7 : 5 : 2
Step-by-step explanation:
The ratio is reduced by dividing by the greatest common factor. Since you know your multiplication tables, you know each of the numbers is a multiple of 8. When you divide that out, you get the reduced form.
56 : 40 : 16 = 56/8 : 40/8 : 16/8 = 7 : 5 : 2
Please Help this is Due in 1 hour and I really dont understand any of this. (Question in Image)
Answer:
Step-by-step explanation:
What fraction is equivalent to 0.7 ?
Enter your answer in the space provided. Enter only your answer.
Answer:
7/10
Step-by-step explanation:
7/10 = 0.7
Hope that helps!
Answer:
[tex]0.44... = \frac{4}{9}[/tex] (saw your comment)
[tex]0.7=\frac{7}{10}[/tex]
Guided Practice
Suppose that 0.5% is an annual interest rate. In the formula y = a • bx, what value would you use for b?
A.
1.005
B.
100.5
C.
0.005
Answer:
A.
1.005
Step-by-step explanation:
Answer:
b=1.005
Step-by-step explanation:
b=(1+0.5%)
=1+0.005
=1.005
...............................................................................................................................................
Answer:
b=1.005
Step-by-step explanation:
b=(1+0.5%)
=1+0.005
=1.005
Answer:
1.005
Step-by-step explanation:
The variable b is the growthfactor, which is 100% plusthe interest rate, expressedas a decimal.b ===100%+0.5%1+0.0051 .005The variable b is the growth factor, which is 100 percent plus the interest rate, expressed as a decimal. B equals 100 percent plus 0.5 percent. Equals 1 plus 0.005. Equals 1.005.
In an auditorium, there are 9 rows of seats with 18 seats in each row .There also 6 rows of seats with 24 seats in each row. How many seats are ther ein the auditorium? Estimate first. Then checkfor reasonableness.
Answer:
306
Step-by-step explanation:
You multiply 9 by 18 to see how many chairs are there, you then get 162. Then to see the next 6 rows you multiply 6 by 24 which gives you 144. You add both to get 306. Hope it helped :)
MO bisects LMN, mLMN = 6x-28, mLMO = x+34. Find mNMO.
Answer:
D. 58°Step-by-step explanation:
MO is angle bisector of ∠LMN, so:
m∠LMN = 2*m∠LMOSubstitute with expressions:
6x - 28 = 2(x + 34)Solve for x:
6x - 28 = 2x + 686x - 2x = 68 + 284x = 96x = 24Find m∠NMO:
m∠NMO = m∠LMO = x + 34 = 24 + 34 = 58°Correct choice is D
Determine which of the following Equations illustrates the Commutative Property of
Multiplication. *
(1 Point)
(6) (2) (3) = (3) (2) (6)
2 +8 = 2 (1+4)
7+ (8 + 5) = (7 + 8) + 5
(5) (3 x 4) = (5 x 3) (4)
Answer:
3" (and any subsequent words) was ignored because we limit queries to 32 words.
N and (2 + 6)
What is the answer
Answer:
8n
Step-by-step explanation:
distribute n between 2 and 6 then add
Write an equation for a line perpendicular to y=5x−5 and passing through the point (-15,8)
Answer:
Step-by-step explanation:
Dont know how to explain but just switch the slope for the recipcal
HELP PLEASE 34 POINTS
The scores on the push-up portion of a physical fitness test had a mean of 62 and a median of 60. One athlete was
absent during the test, and his score was not included in the calculations. If his score of 67 were added to the
distribution of scores, what would happen to the mean and median?
O The mean would increase and the median would decrease.
The mean would increase and the median would stay about the same.
The mean would decrease and the median would stay about the same.
The mean would decrease and the median would increase.
Answer: the mean would increase and the median would stay about the same
Step-by-step explanation:
The mean would increase and the median would decrease. Then the correct option is A.
What is Mean?The mean is the straightforward meaning of the normal of a lot of numbers. In measurements, one of the markers of focal propensity is the mean. The normal is alluded to as the number-crunching mean. It's the proportion of the number of genuine perceptions to the absolute number of perceptions.
The scores on the push-up portion of a physical fitness test had a mean of 62 and a median of 60. One athlete was absent during the test, and his score was not included in the calculations. If his score of 67 was added to the distribution of scores.
The value of the mean will increase because a score of 67 is more than the mean of 62. And the median will decreases.
The mean would increase and the median would decrease. Then the correct option is A.
More about the mean link is given below.
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{ (-2, 4), (0, 2), (-1,3), (4, -2)}
The set of ordered pairs above:
A: Function
B: not a function
Answer:
its a function
Step-by-step explanation:
hope that helps>3
Find f(g(-1)) for the pair of functions.
f(x)=x^2+6
g(x)=3x^2-9
Answer:
42Step-by-step explanation:
Given:
f(x) = x² + 6g(x) = 3x² - 9Find g(-1):
g(-1) = 3(-1)² - 9 = 3 - 9 = -6Find f(-6):
f(-6) = (-6)² + 6 = 36 + 6 = 42First we have to find g(x) at -1
[tex]\\ \sf\longmapsto g(-1)[/tex]
[tex]\\ \sf\longmapsto 3(-1)^2-9[/tex]
[tex]\\ \sf\longmapsto 3(1)-9[/tex]
[tex]\\ \sf\longmapsto 3-9[/tex]
[tex]\\ \sf\longmapsto -6[/tex]
Now
[tex]\\ \sf\longmapsto f(-6)[/tex]
[tex]\\ \sf\longmapsto (-6)^2+6[/tex]
[tex]\\ \sf\longmapsto 36+6[/tex]
[tex]\\ \sf\longmapsto 42[/tex]
Please answer this in less then 5 mins
Which is the best estimate for the capacity of a glass vase?
A. 200 ml
B. 500 ml
C. 5,000 ml
D. 5,000 kl
Answer:
D, x = 3
Step-by-step explanation:
to know if a line is parallel, we need to know what kind of line x = 6 is
we can use the mnemonic VUX/HOY to determine the slope, the type of line, and which axis it corresponds to. VUX/HOY stands for:
Vertical line
Undefined slope
X axis
Horizontal line
0 is the slope
Y axis
according to this, the equation x = 6 is a vertical line
now we can start eliminating answer choices
A. a line containing the point (6,2)
the point lies on the line x = 6, as the x-coordinate in the ordered pair is 6. this is not parallel to the line
B. y = 6
this intersects x = 6 and is not parallel
C. y = 4
this intersects x = 6 as well and is not parallel
D. x = 3
this leaves us with x = 3, which is a vertical line as seen by the equation and therefore x = 3 is our answer
Step-by-step explanation:
What are the domain and range of function p within the context of Melissa’s garden?
Drag the values to the correct locations on the image. Each value can be used more than once, but not all values will be used.
When a function is plotted, the domain and the range of the function are the x-coordinate and the y-coordinate respectively. The domain and range of the assumed function for Melissa's garden are: [tex]x = (2,\infty][/tex] and [tex]p(x) = (0,\infty][/tex], respectively.
The function for Melissa's garden is not given. So, I will give a general explanation to calculate domain and range.
The domain is all possible values the independent variables of a function can take while the range is all possible values the dependent variables of a function can take
Assume the function of Melissa's garden is:
[tex]p(x) = x(x - 2)[/tex]
Start by equating the function to 0
[tex]x(x - 2) = 0[/tex]
Split
[tex]x = 0\ or\ x - 2 = 0[/tex]
Solve
[tex]x = 0\ or\ x = 2[/tex]
The above values of x will give [tex]p(x) = 0[/tex]
Because it is a garden, the length of the garden cannot be 0 or less.
So, the domain of the function is:
[tex]x = (2,\infty][/tex]
This means that the domain starts from a value greater than 2 (e.g. 3) and ends at infinity
To calculate the range, we substitute [tex]x = (2,\infty][/tex] in the function
[tex]x = 2[/tex] means
[tex]p(2) = 2 \times ( 2- 2) = 0[/tex]
[tex]x = \infty[/tex] means
[tex]p(2) = \infty \times (\infty- 2) = \infty[/tex]
So, the range of the function is:
[tex]p(x) = (0,\infty][/tex]
This means that the domain starts from a value greater than 0 (e.g. 1) and ends at infinity
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Answer:
The range is 0, infinity and the domain is 0,12
Step-by-step explanation:
The range of the function shown is.
Answer:
(4;infinity) because the arrows on the diagram drawn in pink .show that the probability of the graph increasing is unlimited that's why we use infinity in mathematics do describe it
During the run, she drinks 4 bottles of water containing 750 ml each.
How many litres of water has she drank in total
Answer: She drank 3 liters of water.
Step-by-step explanation: 1,000 ml is 1 liter
750x3=3,000
Use the Echelon Method
1. Solve
x + 3y = 7
3x + 4y = 11
Answer:
x = 1 y = 2
Step-by-step explanation:
x + 3y = 7
- Subtract x from both sides.
3y = -x + 7
- Divide both sides by 3 to isolate the variable.
y = -1/3x + 7/3
- Plug the value of y into the other equation.
3x + 4(-1/3x + 7/3) = 11
3x - 4/3x + 28/3 = 11
- Add like terms.
5/3x + 28/3 = 11
5/3x = 5/3
x = 1
- Plug the value of x into the equation.
x + 3y = 7
(1) + 3y = 7
3y = 6
y = 2
Find x.
7/8 of x is 14.
Answer:
16
Step-by-step explanation:
7x/8 = 14
7x = 112
x = 16
Have a good day
Answer:
16
Step-by-step explanation:
7/8 × x=14
7/8x=14
14÷7/8
x=16
For the function f(x) = -x^3 + 2x^2 + x - 2
a. Show that (x - 1) is a factor of f(x).
b. Find other factors.
c. Sketch the graph of f(x) = -x^3 + 2x^2 x - 2
Answer:
Step-by-step explanation:
a)
[tex]f(1)=-1^3+2*1^2+1-2=-1+2+1-2=0\\\\[/tex]
b)
Rationnel roots are divisor of -2: -1,1,-2,2
[tex]f(-1)=-(-1)^3+2*(-1)^2+(-1)-2=1+2-1-2=0\\\\\begin{array}{c|cccc}&x^3&x^2&x&1\\---&---&---&---&---\\&-1&2&1&-2\\x=1&&-1&1&2\\&-1&1&2&0\\\\x=-1&&1&-2\\&-1&2&0\\---&---&---&---&---\\\end {array}\\\\\\f(x)=-x^3+2x^2+x-2=(x-1)(x+1)(-x+2)\\\\[/tex]
c) see picture
hi hi hi
please help help
help
help
help
1.) x = 67 y = 32
Here's the Solution:
for x:(x-15)° and 52° are vertical Angles so they are congurent.
(x-15)° = 52°x - 15 = 52x = 52 + 15x = 67for y:4y° and 128° are vertical Angles so they are congurent.
4y° = 128°4y = 1284y/4 = 128/4y = 32HOPE THIS HELPS. GOODLUCK:)
The ratio of cats to dogs at a pet store is 4:5 which means
Step-by-step explanation:
The ratio of cats to dogs at a pet store is 4:5. It means that if there are 4 cats in the store then there are 5 dogs, if there are 8 cats(4×2) there then there will be 10 dogs(5×2).
The number of cats is 16 if the ratio of cats to dogs is 4:5 if there are 20 dogs.
What is the ratio?It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
The complete question is:
The ratio of cats to dogs is 4;5 if there are 20 dogs. How many cats are there?
It is given that:
The ratio of cats to dogs at a pet store is 4:5
Let 4x be the cats and 5x be the dogs
5x = 20
The above equation is a linear equation in one variable.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
x = 20/5
x = 4
Number of cats = 4x
Plug x = 4 in the above expression:
= 4(4)
= 16
Thus, the number of cats is 16 if the ratio of cats to dogs is 4:5 if there are 20 dogs.
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