Answer:
-150
Step-by-step explanation:
The function f is defined by f(x )=150÷x −z , where z is constant. Find z if the value of f at x = 1 5 is equal to 250.
Given the function;
f(x )=150÷x −z
This can also be written as;
f(x )=150/x −z
If f(1.5) = 250, hence;
at x = 1.5, f(x) = 250
Substitute;
250 = 150/1.5 - z
250 = 100 - z
z = 100 - 250
z = -150
Hence the value of z is -150
Solve the linear equation 29 - 3x = 5x + 5
Answer:
x = 3
Step-by-step explanation:
29 - 3x = 5x + 5
You want to have the variable of x on one side of the equation, so add 3x to both sides.
29 = 8x + 5
You want to isolate the variable of x, so subtract 5 from both sides.
24 = 8x
You want the variable x on its own, so divide both sides by 8.
3 = x
Check your answer by plugging x back into the original equation.
29 - 3(3) = 5(3) + 5
Solve.
29 - 9 = 15 + 5
20 = 20
Your answer is correct!
solve 5n+7=7(n+l)-2n
Answer: The answer is 1 =n and my work is in the bottom and hope this help :)
Step-by-step explanation:
5n+7=7(n+l)-2n distributive property
5n+7=7n+7-2n Combines Like Term
5n+7= 12n subtract 5n to both side
-5n -5n
7 = 7n divide 7n to both side
7 7
1=n
Which of the following is a polynomial?
O A. x^4 + x^-4 + 16
O B.1/2 +2
O c. x^2-1
O D.(x^6-2)/(x^-4 +3)
Answer:
I think letter D is the closest answer
What is the volume olf the basketball the diameter is 9.5 round to mearest whole nu!mber
Answer:
143π in³
Step-by-step explanation:
A basketball has the shape of a sphere
Volume of a basketball = 4/3πr³
Diameter = 9.5 in
Radius = diameter/2
= 9.5/2
= 4.75 in
Volume of a basketball = 4/3πr³
= 4/3 * π * 4.75³
= 4/3 * π * 107.17
= (4*π*107.17) / 3
= 428.68π / 3
= 142.89π in³
Approximately
143π in³ to the nearest whole number
The number of hours each student spent studying for a test in Classroom A and Classroom B are shown below.
Determine whether each description of the summary statistic applies to the two data sets shown above. Select Yes or No for each summary statistic.
What number is represented on the number line? Give your answer as a decimal and as a mixed number
Answer:
take a picture of the number line or can't be answered sorry hope that helps to get a answer
Number line used to represent all types of number.
What is Number line?The horizontal straight lines in mathematics known as number lines are where integers are arranged in equal intervals. A number line can be used to represent every number in a sequence. The endpoints of this line go on forever. Integers are arranged on a number line in the image above.
Given:
Number line used to represent many type of Integers.
Number Line can be used to represent positive and Negative Integer.
Number Line also used to represent the decimal.
Number Line also used to represent the Fraction.
Hence, Number line used to represent all types of number.
Learn more about Number line here:
https://brainly.com/question/13425491
#SPJ5
(PLEASE HELP! WILL GIVE BRAINLIEST)
The length of each of the two congruent sides of an isosceles triangle is 2x + 3. The length of the third side is 2x. Its perimeter is 36 centimeters. Choose an equation that could be used to find the value of x. Choose the correct answer for x and choose the correct length of all three sides. Choose 3 answers.
Answer:
Im sorry, but I dont know all of the answers. try a and c.
Step-by-step explanation:
well, I did this question before, but unfortunately got it wrong because I incorrectly guessed the last one.
Find any domain restrictions on the given rational equation: Select all that apply.
Answer:
I think A
Step-by-step explanation:
Answer:
x = 0
Step-by-step explanation:
Can somebody help me with this question. Will mark brainliest.
Answer:
x = 14
Step-by-step explanation:
The triangles are similar, so the ratios of corresponding sides are equal, that is
[tex]\frac{DF}{AC}[/tex] = [tex]\frac{EF}{BC}[/tex] , substitute values
[tex]\frac{x}{21}[/tex] = [tex]\frac{18}{27}[/tex] ( cross- multiply )
27x = 378 ( divide both sides by 27 )
x = 14
Solve for x using Pythagorean Theorem. SHOW YOUR WORK.
24
30
(4m² - 4m²)+(-3m² -2m2 + 4 m?)
Answer:
[tex]-5m^{2} +4m[/tex]
Step-by-step explanation:
[tex]-5m^{2} +4m[/tex]
there are 5000 books in the towns library. Of these, 4900 are fiction. To find the percent of the books that are fiction, first set up the equation. Then find the percent
Answer:
49/50 = 98%
Step-by-step explanation:
Answer:
she's right sorry
what (2/3+3×2/4)×25÷12,5 =........?
Answer:
2.6666666666666
Step-by-step explanation:
A 254-foot tall radio tower is located partway between a building and a tree. The angle of elevation from the base of the building to the top of the tower is 36°, and the angle of elevation from the base of the tree to the top of the tower is 62°.
Answer: here's your answer
485 ft
Step-by-step explanation:
step 1
Find the distance from the base of the building to the base of the radio tower
Let
x -----> the distance from the base of the building to the base of the radio
we know that
tan(36°)=254/x
x=254/tan(36°)=349.60 ft
step 2
Find the distance from the base of the tree to the base of the radio tower
Let
x -----> the distance from the base of the tree to the base of the radio tower
we know that
tan(62°)=254/x
x=254/tan(62°)=135.05 ft
step 3
Find the distance from the base of the building to the base of the tree
Adds the distances
349.60 ft+135.05 ft=484.65 ft
Round to the nearest foot
484.65 ft=485 ft
-6/1 divided by -3/8
Answer: 0.25
Step-by-step explanation:
Answer:
Step-by-step explanation:
to divide the fraction we will multiply by its reciprocal
-6/1 x -8/3=+16
The average person eat 60 hot dogs per year. Rita is 86 years old. About how many hot dogs would she have eaten during her lifetime
What is the period of y = 3 cos(x - 7) + 2?
Answer:
2π
Step-by-step explanation:
What is the period of y = 3 cos(x - 7) + 2?
The Period is 2π
parallel lines in real world, help please
Answer:
The answer is B(65)
Step-by-step explanation:
you just do 180 - JCB = 65
so you do 180-65=115
hope this helps
please help me i never payed attention in this part of math
What is the y-intercept of the function f(x) = 4 – 5x? * 4 points -5 -4 4 5
Answer:
the answer is 4
Step-by-step explanation:
Answer:
h ey ew h he h dhv h d h h h j hd v 8 9
Step-by-step explanation:
plss help!!! (answer A and B individually!)
Consider the trinomial, x² - 9x + 14
a) is x+7 a factor of the trinomial? explain your reasoning
b) write the factored form of the trinomial
Answer:
A ans. No it is binomial factor because it contain two terms
B and.
[tex]x + 2y - z[/tex]
A utility pole is 24 feet tall and its shadow is 45 feet long. A nearby water tower is 32 feet tall. How long is the water tower's shadow?
Answer: The tower's shadow is 60 feet long.
Step-by-step explanation:
We can use a ratio to solve this:
24/45 = 32/x
Cross multiply: (Numerator of left side times the denominator of right side, and denominator of the left side by numerator of right side.)
24x = 32(45)
24x = 1440 divide both sides by 24
x = 60
Benny spent half of his allowance going to the movies. He washed the family car and
earned $8. Which equation best represents his weekly allowance if he ended the week
with $13. Let x represent his weekly allowance.
Answer:
$10
Step-by-step explanation:
13-8= 5
5 x 2= 10
:)
HELP!!!!!!!!!!!!!!!!!!!! SUPER EASY! Just checking my answer because my teacher is REALLY strict with homework accuracy
9514 1404 393
Answer:
1/5^6
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)^c = a^(bc)
a^-b = 1/a^b
__
[tex](5^{-2})^3=5^{(-2)(3)}=5^{-6}=\boxed{\dfrac{1}{5^6}}[/tex]
A small university enrolls in-state and out-of-state students. The number of students enrolled in their most recent freshman class was 243. The school reported that it enrolled 7 in-state students for every 2 out-of-state students. How many of each type of student was enrolled in the freshman class?
Answer:
Step-by-step explanation:
There is a building, if you are observing from the outside it looks like a parallelogram with one of the interior angles as 108. What will be the exterior angle that can be used for parking?
Answer:
Exterior angle to be used for parking is 72°
Step-by-step explanation:
I've attached an image of a paralelogram.
Now, we are told that from the outside it looks like a parallelogram with one of the interior angles as 108.
This means that the bigger angle internally would be 108°
Which from the attached image is angle B internally or angle D internally.
So, the interior angle observed will be either at point B or D on the parallelogram.
Now, the sum of angles on a straight line is 180°
Thus,
Internal angle D + External Angle D = 180
Or
Internal angle B + External Angle B = 180
Internal angle is 108°
Thus;
External angle for either B or D = 180 - 108 = 72°
So the exterior angle to be used for parking is 72°
the total surface area of a hemisphere is 45
[tex]\pi\p[/tex]
CM square find its volume
Answer:
The volume of the hemisphere
V = 121.33086 cubic centimeter
Step-by-step explanation:
Step(i):-
Given that the total surface area of a hemisphere = 45π cm²
The total surface area of a hemisphere = 3π r²
Equating
3π r² = 45π
[tex]r^{2} = \frac{45}{3} =15[/tex]
r = [tex]\sqrt{15} = 3.87[/tex]
The radius of the sphere 'r' = 3.87
Step(ii):-
The volume of the hemisphere
[tex]V = \frac{2}{3} \pi r^{3}[/tex]
[tex]V = \frac{2}{3} \pi (3.87)^{3}[/tex]
we know that π = 3.14
[tex]V = \frac{2}{3} (3.14) (3.87)^{3}[/tex]
V = 121.33086 cubic centimeter
OMG I HATE MATH BUT I NEED HELP !!!!!!!
Answer:
r = 7
Step-by-step explanation:
27 - 20 = 7
Total surface area of tringular prism
10 cm
6 cm
4 cm
8 cm
Answer:
144 cm^2
Step-by-step explanation:
The formula for a triangle is (L x W)/2. We plug this in so our first two sides are 24 and 24 square centimeters. The top side is 10 x 4, or 40 cm. The bottom side is 8 x 4, or 32 cm. The back side is 6 x 4, or 24 cm.
24 + 24 + 40 + 32 + 24 = 144 square cm
Answer:= 144cm²
Step-by-step explanation: 4x8 =32
4x6= 24
4x10= 40
8x6=48
add 32+24+40+48 =144cm²
Please explain how to do it, don't just give answers, I wan' to learn!!!!
Answer:
when you do these types of problems, try to think of how you could find out if they are similar. Try to make the shapes bigger or rotate. ^^
Step-by-step explanation:
i hope this wasn't too much into and i hope this helped <3
edit: the answer is 1 and 2.
the reasoning is when you turn the rectangle and divide each correlating side (7.5 by 5 and 9 by 6) for both sides you get the same number: 1.5
when you get the same number, they are similar ^^
9514 1404 393
Answer:
rectangles 1 and 2 are similar
Step-by-step explanation:
Polygons are similar when ...
corresponding angles are congruentcorresponding sides are proportionalIn a rectangle, all angles are 90°, so all angles are congruent.
The question of proportionality can be answered a couple of ways. One is to identify corresponding sides in the different figures, then see if the ratios between figures are the same.
Another way is to identify corresponding sides in the same figure, find their ratios, then see if those match with the ratios in the other figure.
For triangles and parallelograms, it can be useful to use the ratios of the sides in order from shortest to longest.
Here, the ratios are ...
rectangle 1: 5 : 6
rectangle 2: 7.5 : 9 = 15 : 18 = 5 : 6 . . . . similar to rectangle 1
rectangle 3: 12 : 15 = 4 : 5 . . . . not similar to the others
Rectangles 1 and 2 are similar.
_____
Additional comment
Ratios are equivalent if all the numbers involved have the same factor. For rectangle 2, we wanted to reduce the ratio to the lowest integer terms. Here, we recognize that 7.5 can be cleared of a decimal by multiplying by 2, so we did ...
7.5 : 9 = (2)(7.5) : (2)(9) = 15 : 18
Now, we can see that these numbers have 3 as a common factor, so we can remove that factor.
(3)(5) : (3)(6) = 5 : 6 . . . . reduced form of the ratio 7.5 : 9.
__
We can also get there by finding the greatest common divisor* of 7.5 and 9. That is 1.5, so we have ...
7.5 : 9 = (1.5)(5) : (1.5)(6) = 5 : 6
__
* Euclid's algorithm for finding the GCD works with decimals or fractions as well as integers. Basically, you see if the difference is a divisor of the numbers. If it is, that is the GCD. 9 -7.5 = 1.5 is a divisor of both 7.5 and 9, so that is the GCD. (If not; the difference replaces the larger number, and the process repeats.)
