7. If A = 2x + 3 and B = x^2 - 5x + 1, what is the value of A-5B?
Answer:
[tex] \huge \boxed{ \boxed{ \tt - 5 {x}^{2} + 27 x- 2}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:algebraPEMDASgiven:A=2x+3B=x²-5x+1to find:A-5Blet's solve:[tex] step - 1 : define[/tex]
A-5B=2x+3-5(x²-5x+1)
[tex]step - 2 : solve[/tex]
distribute -5 to the parentheses:2x+3-5x²+25x-5rewrite:-5x²+2x+25x-5+3combine like terms:-5x²+27x-2and
we are done
The path of an athlete's long jump is modeled by a function h(d)=−14d2+d, where d and h denote the distance and the height in meters respectively. The graph of h(d) is given by
Answer:9ft
Step-by-step explanation:
anyone help pls!! will mark brainliest
Answer:
2.5 cm is the radius
Step-by-step explanation:
Peggy is laying 60 ft from the base of a tree. The angle of elevation for her to see
the top of the tree is 50º. Use a trigonometric ratio and calculator to find the
height of the tree to the nearest tenth of a foot.
Answer:
The height of the tree is approximately 71.5 feet
Step-by-step explanation:
The given parameters are;
The angle of elevation to see the top pf the tree = 50°
The distance Peggy is laying from the base of the tree = 50 ft.
In order to answer the question using trigonometric ratio, we assume that the angle the tree makes with the ground is 90° that is the tree is perpendicular to the ground
Therefore, the line of sight to the top of the tree, the height of the tree, and the distance from the base of the tree where Peggy is laying, forms a right triangle
Let, 's', represent the line of sight to the top of the tree, let 'h', represent the height of the tree, and let, 'd', represent the distance from the base of the tree where Peggy is laying
The third angle, θ, of the right triangle opposite 'd' is given by angle sum theorem of a triangle as follows;
θ = 180° - 90° - 50° = 40°
θ = 40°
By sine rule we have;
h/sin(50°) = d/(sin θ)
∴ h/sin(50°) = 60 ft./(sin 40°)
h = sin(50°) × 60 ft./(sin 40°) = 71.5052156 ft.
∴ The height of the tree, h ≈ 71.5 ft. by rounding to the nearest tenth
In ΔQRS, the measure of ∠S=90°, the measure of ∠Q=83°, and RS = 7 feet. Find the length of SQ to the nearest tenth of a foot.
Answer:
Step-by-step explanation
….
Answer: 0.9
Step-by-step explanation:
A basketball court is a rectangle that is 28\,\text{m}28m28, start text, m, end text long and 15\,\text{m}15m15, start text, m, end text wide. A diagram on a coordinate plane shows a circle in the middle of the court centered at (0\,\text{m},0\,\text{m})(0m,0m)left parenthesis, 0, start text, m, end text, comma, 0, start text, m, end text, right parenthesis. The point (0.8\,\text{m}, 1.5\,\text{m})(0.8m,1.5m)left parenthesis, 0, point, 8, start text, m, end text, comma, 1, point, 5, start text, m, end text, right parenthesis is on the circumference of the circle.
Approximately what percentage of the court does the circle cover?
Answer:
48
Step-by-step explanation:
Answer:
B, 2%
Step-by-step explanation:
help if you can please
Answer:
a: 24 cm
b: 101 m
c: 1.46 mm
Step-by-step explanation:
Formula: d=2r
a: 12*2=24 cm
b: 50.5*2=101 m
c: 0.73*2=1.46 mm
The distance between points F and H is 3 units, and the distance between points H and G is 4 units. What is the distance between points F and G?
Answer:
[tex] {4}^{2} + {3}^{2} = 16 + 9 = \sqrt{25} = 5[/tex]
Can someone help me?????
EASY 7TH GRADE MATH! FIRST PERSON MARKED BRAINLIEST, NEED HELP NOW!!!
Answer:
slope of 2 and y-intercept of 1
(3rd answer choice)
Step-by-step explanation:
Answer:
It's the last one doesn't matter which way you go they are both going to the negative way because they are going down and to the left so they are both negative. I hope this helps good luck.
The ratio of marbles to stones in a large pot is 6 to 7. If there are 42 marbles, then how many stones are there?
Answer:
49 stones
Step-by-step explanation:
Write the following proportion based on the given ratio of marbles (m) to stones (s), and naming the unknown number of stones to find, with the letter "X":
6 m / 7 s = 42 m / X s
cross multiply to get the unknown in the numerator:
6 * X = 42 * 7
divide both sides by 6 to isolate X entirely on the left of the equal sign
X = ( 42 * 7 ) / 6
X = 49
Therefore, there are 49 stones
Evaluate:
(15 +12) - 3 to the second power
Answer:
Step-by-step explanation: (15+12)-3^2 power ------> 27-3^2 power ----> 27-9 ----> equals 18
ANSWER:
18
SOLUTION:
(15+12) -3^2
(15+12) = 27
=27-3^2
=27- 9
=18
The winner of a basketball contest is the individual who scores the highest percentage of free throws. The too three finishers are contestants A, B, and C. Contestant A made 85% of her free throws, contestant B made 0.88 of his free throws, and contestant C made 21/25 of his free throws. Graph in inequality that represents the possible percentages (in decimal form) of free throws made by the other contestants in the competition. (Assume there are no ties.)
Answer:
Step-by-step explanation:
Less than 0.84
Step-by-step explanation:
Convert all numbers to decimals
85% --> 0.85
0.88 --> 0.88
21/25 --> 0.84
Since these are the top three, the rest of the competitors are less than 0.84.
What is the value of' x'?
B.
D
3 ft
6 ft
A
С
4 ft
E
F
Х
help pls
Answer:
7..the way you worded the options was confusing
I NEED HELP OW RN rn please
Answer:
(4,10)
Step-by-step explanation:
Well, you just count each unit coming from the x-axis up and then do the same for the y axis going to the right. You can also see that the graph is counting by 2 if you look at the "O" coordinate
2. What is the area of the half circle ?
20 points
9 in
A) 31.7925 square feet
B) 63,585 square feet
C) 127.17 square feet
D) 254 34 square feet
Elena raised $84 to support the animal shelter, which is 30% of her fundraising goal. What is Elena's fundraising goal
PLEASEEEEEEEEEEE HELP ME IT'S THE LAST QUESTION
Answer:
I think it's 2-3, but I'm not sure.
Step-by-step explanation:
Sorry if I get it wrong
The tape diagram represents an equation.
I will give you a brainlist
A rectangular prism has a base of 7 m by 9 m and a height of 5 m. What is its volume?
Answer:
315m ^3
Step-by-step explanation:
make sure you put the exponent !!
Felipe grows tomatoes.
0
20
60
80
The box plot shows information about
the weights of Felipe's tomatoes.
40
Weight (grams)
Felipe says “at least half of my tomatoes weigh more than 50 grams each".
a) Which of the statements below describes Felipe's statement best?
A- He is correct because the Median weight is 48 grams.
B - He is wrong because the Median weight is above 50 grams.
C - He is correct because the Median weight is 56 grams.
(1)
b) Work out the range of weights of Felipe's tomatoes.
(1)
c) Work out the interquartile range of weights of Felipe's tomatoes.
(1)
Answer:
a) c
b) 62
Step-by-step explanation:
He is correct because the Median weight is 56 grams.
Option C is the correct answer.
The range of weights of Felipe's tomatoes is 62.
The interquartile range of weights of Felipe's tomatoes is 44 grams.
What is a median?It is the middle value of the given set of numbers after arranging the given set of numbers in order.
We have,
From the box plot,
Median = 56 grams
Now,
The statement that Felipe describe is correct because the median weight of 56 grams.
The range of the weights of the tomatoes.
= Highest value - Lowest value
= 78 - 16
= 62
The interquartile range of weights of Felipe's tomatoes.
= Upper quartile - Lower quartile
= 72 - 28
= 44 grams
Thus,
Median weight = 56 grams.
Range = 62
Interquartile range = 44 grams.
Learn more about median here:
https://brainly.com/question/28060453
#SPJ2
Help please i don’t understand
Answer:
B or C
Step-by-step explanation:
In one company, 20% of the workers in the technical department applied for vacation at the same time. If 12 workers applied for vacation, how many tech workers are there, altogether?
Answer:
There are 60 tech workers altogether
Step-by-step explanation:
Let X be the total number of tech workers in the company
Out of X tech employees, 20 % applied for leaves
In totality, 12 tech employees are on leave
Thus,
[tex]\frac{20}{100} * X = 12[/tex]
On solving the above mathematical equation, we get -
[tex]X = \frac{12*100}{20} \\X = 60[/tex]
Hence, there are 60 tech workers altogether
An Experienced ice skater spins on the ice, creating a perfect circle with a diameter of 4 feet. What is the circle's radius?
Answer:
2
Step-by-step explanation:
the radius is half the diameter from the middle!
for the table below, what is the range?
Answer:
second option
Step-by-step explanation:
mark me brainliest pls
In this function, if the value of r were to increase, would the value represented by P also increase or stay the same? Why? Explain your answer using terms such as "rate of growth" and "initial value" in the context of the coin problem.
Answer:
P will remain the same
Step-by-step explanation:
Given
[tex]V(t) = P(1 + r)^t[/tex] --- Coin value formula [Missing from the question]
Required
What happens to p when r increases
The coin value function is an exponential function which is of the general form:
[tex]y = a(1 + b)^x[/tex]
From the given function: [tex]V(t) = P(1 + r)^t[/tex]
P represents the initial value and r represents the rate
The rate of change (r) and the initial value (P) of a function are both independent, and they do not depend on one another for their values.
An increment or decrement in r will not affect the value of P.
Conclusively, when the rate (r) changes, the initial value (P) will remain the same.
Point p is the interior of angle abc. If angle abc=125deg and angle abp=62deg, what is the angle pbc?
Answer: The angle ∠ PBC is 63°.
Step-by-step explanation:
Given: Point P is in the interior of ∠ABC.
∠ ABC = 125°
∠ABP= 62°
To find : ∠ PBC
Since P is in the interior of ∠ABC.
Then
∠ ABC = ∠ABP + ∠ PBC
⇒ 125°= 62°+ ∠ PBC
⇒ ∠ PBC= 125° - 62°
⇒ ∠ PBC= 63°
Hence, the angle ∠ PBC is 63°.
Which of the following is a one-to-one functions?
Answer:
A function f : X → Y is said to be one to one (or injective function), if the images of distinct elements of X under f are distinct, i.e., for every x1 , x2 ∈ X, f(x1 ) = f(x2 ) implies x1 = x2 . Otherwise, it is called many to one function.
(q – 5) 7 simplified
Answer:
7q-35
Step-by-step explanation:
the lengths of the sides of a triangle are 2n, n^2 and n+5 for what value of n do these lengths not make a triangle ?
Answer:
Step-by-step explanation:
Try n = 2
2n = 4
n^2 = 4
n+5 = 7 That works. It will make a triangle since the 2 smallest numbers are bigger than 7
Try n = 3
2n = 6
n^2 = 9
n + 5 = 8 That works. Same reason as above.
n = 4
2n = 8
n^2 = 16
n + 5 = 9 That works. Same reason.
n = 5
2n = 10
n^2 = 25
n+5 = 10 Aha! That doesn't work. the two smaller numbers only = 20.
There are likely many numbers that don't work. I'll try one more
n = 6
2n = 12
n + 5 = 11
n^2 = 36 This won't work either. Same reason as n = 5.