The expression that signifies Katherine’s final cost F= P + T= $466
Calculation of final costThe number of pansies to be arranged around each tree = 15 pansies
The cost of pansies(P) = 15 × 8 × 2.50 = $300
The number of juniper trees available = 8
The cost of the trees available(T) = 8 × 20.75= $166
Therefore Katherine's final cost(F)= $300 + $166 = $466
The expression to find Katherine’s final cost = F= P + T
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Some of the following integers are prime. Compute the sum of the prime integers in the list. (a) 197 (b) 497 (c) 1111 (d) 2111 (e) 2643 (f) 3599
The sum of the prime integers in the list is 10158.
What are Prime Numbers ?The numbers that are divisible by 1 or itself is called a Prime Number.
The sum of two prime numbers is not a prime number
The given prime numbers are
197 , 497, 1111 ,2111 , 2643 , 3599
=197+ 497+1111+2111+2643+3599
= 10158
The sum of the prime integers in the list is 10158.
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The circle is centered on point p. points j, k and l lie on the circumference. zjlk
measures 47. find the measure of zjpk.
Using the giving information, the measure of ∠JPK is 94°
Circle GeometryFrom the question, we are to determine the measure of ∠JPK
From one of the circle theorems,
Angle at the center is twice the angle at the circumference
That is,
∠JPK = 2 × ∠JLK
From the given information,
∠JLK = 47°
∴ ∠JPK = 2 × 47°
∠JPK = 94°
Hence, the measure of ∠JPK is 94°
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Enter segments in the blanks provided that would result in a true equation.
Answer: [tex]\frac{ML}{MK}[/tex]
Step-by-step explanation:
Corresponding sides of similar triangles are proportional, so since OP corresponds to ML and NP corresponds to MK (since they are opposite the corresponding congruent angles), the answer is ML/MK.
Pls help to find intervals of increasing, decreasing, and range. Quadratic btw T-T
Answer:
left side:
Range: For all Y inside of Real, y>= -2
Increasing: (-2, inf) For all x inside of Real
Decreasing:(inf, -2) For all x inside of Real
Right side:
Range: For all Y inside of Real, y<= 1
Increasing: (-1, inf) For all x inside of Real
Decreasing:(inf, 1) For all x inside of Real
A piece of card, 1200 cm² in area, will make a tube 13 cm long. How long is a similar
tube made from a similar piece of card with an area of 500 cm³?
The length of the similar tube will be 5041 cm.
What is the area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.
Given that:-
A piece of card, 1200 cm² in area, will make a tube 13 cm long. How long is a similar?Tube made from a similar piece of card with an area of 500square centimetres.The radius of the first tube will be calculated as:-
1200 = 2πr ( 13 )
r = 12 / 2π x 113
r = 14.7 cm
Now the length of the second tube will be:-
500 = 2π x 14.7 x L
L = 500 / 2π x 14.7
L = 5.41 cm.
Therefore the length of a similar tube will be 5041 cm.
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Which function is increasing and has a domain of (1, )?
A. -log(x − 2) + 1 B. -log(x − 1) + 2 C. log(x − 1) + 2 D. log(x − 2) + 1
Answer:
B . it was right when I picked it
What is the value of x.
Answer:
Step-by-step explanation:
x + x + 36 = 180
2x + 36 = 180
2x = 144
x = 72
Identify coordinate point C.
(1, 5)
(6, 7)
(7, 3)
(0, 2)
Answer: (6,7)
Step-by-step explanation:
Answer:
(7,6)
Step-by-step explanation:
look above as your axis x it's 7, and then down is axis y is 6.
Help with this inequality pleaze
Answer:
108 cm^2
Step-by-step explanation:
Trapezoid area = (a+b)/2 * h
= (6+12)/2 * 6 = 54 cm^2
Triangle area = b*h/2 = 12* (15-6) / 2 = 54 cm^2
Total area is 54+54 = 108 cm^2
Given the circle has a radius of 9 and a center of (-6,4) what is the equation of the
circle?
Answer:
(x+6)2 + (y-4)2 = 81
Step-by-step explanation:
The equation of the circle is in the for (x-a)2 + (y-b)2 = c2
Question 5 and 6 I need answers to
Answer:
and also mark me the brainliest for the answer
Step-by-step explanation:
Select the correct answer.
The Cohen family started their wheat farm in 1995. The equation models the number of bushels of wheat they produced each year, where tis
the number of years since 1995.
C(t)= 7,000+500 In(t + 1)
The Mason family also started their wheat farm in 1995. The graph models the number of bushels of wheat they produced each year, where t
is the number of years since 1995.
M(t)
A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. The correct statement is D.
What is a graph?A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.
If we draw the graph of the Cohen family, then the graph will look as shown below. Therefore, if we observe the graph of the Cohen family and the graph of the Mason family. Then we will observe that the wheat production of both farms will approach a stable amount as the years pass.
Hence, the correct statement is D.
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n = ut - ½gt2 Find h when u = 100
t=1% & g=6.4
Step-by-step explanation:
h = ut - ½gt²
h = 100 (0.01) – 1/2 × 6.4 × (1/100)²
h = 1 – 1/2 × 6.4 × 0.0001
h = 1 – 0.00032
h = 0.99968 ≈ 0.9
Accuracy is a measure of how close an answer is to actual or expected value true or false
Answer:
True
Step-by-step explanation:
Hello there!
Accuracy refers to a measure of how close an answer (this can also be measurement) to actual or expected value. This is a clear definition which has also been postulated by International Standard of Units (ISO). And therefore the claim above is true.
I hope this helps you.
Have a nice studies.
Which choice belongs in space 5!!!
help solve these algebraic fractions please with explanation would be great <3
Answer:
7/ Ans;
[tex] \frac{x + 2}{ x + 4} \div \frac{ {x }^{2} - 2x - 8}{ {x}^{2} + 2x - 8} \\ \\ \\ \frac{x + 2}{x + 4} \times \frac{ {x}^{2} + 2x - 8 }{ {x}^{2} - 2x - 8} \\ \\ \\ \frac{x + 2}{x + 4} \times \frac{(x - 2)(x + 4)}{(x - 4)(x + 2)} \\ \\ \\ =1 \times \frac{x - 2}{x - 4} \\ \\ \\ = \frac{x - 2}{x - 4} [/tex]
___o__o__
9/Ans;
[tex] \frac{ {x}^{2} - 9}{ {x}^{2} - 6x + 9} \div \frac{x + 4}{x - 3} \\ \\ \frac{ {x}^{2} - 9 }{ {x}^{2} - 6x + 9} \times \frac{x - 3}{x + 4} \\ \\ \\ \frac{(x + 3)(x - 3)}{(x - 3)(x - 3)} \times \frac{x - 3}{x + 4} \\ \\ \\ = \frac{(x + 3)}{1} \times \frac{1}{(x + 4)} \\ \\ \\ = \frac{x + 3}{x + 4} [/tex]
__o__o__
In the two questions, we first replace the division with multiplication with flipping the fraction after the division sign, secondly we analyze any equation that needs analysis to simplify it, thirdly, to simplify the fraction by deleting the numerator and the similar denominator .
Given the following function: y=x^2+10x+25 Using your knowledge of discriminants, how many solutions does this function have?
Answer:
One solutionStep-by-step explanation:
Given function:y = x² + 10x + 25This is a quadratic function.
A quadratic equation has:Two solutions if discriminant is positive;One solution if discriminant is zero;No solution if discriminant is negativeFind the discriminant of the given function:D = b² - 4ac = 10² - 4*1*25 = 100 - 100 = 0This function has one solution since its discriminant is zero.
Answer:
one real solution
Step-by-step explanation:
Discriminant
[tex]b^2-4ac\quad\textsf{when}\:ax^2+bx+c=0[/tex]
[tex]\textsf{when }\:b^2-4ac > 0 \implies \textsf{two real solutions}[/tex]
[tex]\textsf{when }\:b^2-4ac=0 \implies \textsf{one real solution}[/tex]
[tex]\textsf{when }\:b^2-4ac < 0 \implies \textsf{no real solutions}[/tex]
Given function:
[tex]y=x^2+10x+25[/tex]
Therefore:
[tex]a = 1[/tex][tex]b = 10[/tex][tex]c = 25[/tex]Substitute the given values into the discriminant:
[tex]\implies 10^2-4(1)(25)=0[/tex]
As the discriminant equals zero, there is one real solution.
Hunter picked three quarts of blueberries. some of the blueberries are ripe and some are not ripe. If he takes one blueberry from the basket without looking, what are the outcomes
Answer:
Berries with any blush of red are not ripe, yet may ripen further once picked if kept at room temperature. That said though, you really want to ...
A map shows that the vertices of a backyard are W(-100,-70), X(-100,0),Y(0,0), and Z(-60,-70) . The coordinates are measured in feet. The line segment XZ separates the backyard into a lawn and a garden. The area of the lawn is greater than the area of the garden. How many times larger is the lawn than the garden?
The area of the lawn is 2.5 times greater than the area of the garden.
What is Heron's formula in math?Heron's formula for finding the area of a triangle in terms of the lengths of its sides.
In symbols, if a, b, and c are the lengths of the sides: Area = √s(s - a)(s - b)(s - c) where s is half the perimeter, or (a + b + c)/2.
Given vertices W(-100,-70), X(-100,0),Y(0,0), and Z(-60,-70) of a backyard,
We have to find distances WX, XY, YZ, ZW and XZ:
1. WX= √(-100+100)²+(0+70)²
=√0+4900
=70
2. XY= √(0+100)²+(0-0)²
=100 units.
3. YZ= √(-60-0)²+(-70-0)²
=√3600+4900
= √8500= 10√85
4. ZW= √(-60+100)²+(-70+70)²
=√40²+0
=40 units
5. XZ= √(-60+100)²+(-70+0)²
=√40²+70²
=√6500=10√65
Then:
1. the area of WXZ
[tex]\sqrt{(70+40+10\sqrt{65}) /2 * ({70+40+10\sqrt{65}) /2 -70* {(70+40+10\sqrt{65}) /2 -40[/tex]*[tex]\sqrt{(70+40+10\sqrt{65}) /2 -10\sqrt{65}[/tex]
=1400 feet²
Area of XYZ= [tex]\sqrt{(100+10\sqrt{65}+10\sqrt{85}) /2 * (100+10\sqrt{65}+10\sqrt{85}) /2 -100* {(100+10\sqrt{85}+10\sqrt{65}) /2[/tex]-[tex]\sqrt{-10\sqrt{85}*(10+10\sqrt{85} +10\sqrt{65}) /2 -10\sqrt{65}[/tex]
=3500 feet²
Then, ar(WXZ)/ ar (XYZ)= 3500/1400=2.5 times.
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300% of 7 is what percent of 42?
A. 30%
B. 50%
C. 60%
D. 12.5%
Answer:
B. 50%
Step-by-step explanation:
Step by step by me I guess
The solution is , B) 50% of 42 is 300% of 7.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
here. we have,
given that,
300% of 7
we have to that is what percent of 42.
now, we know,,
300% of 7 = 300 * 7 /100
[300% is the same as 3. So to find 300% of 7 , 3 times 7 and get 21.]
i.e. 300% of 7 = 3* 7
= 21
Now we need to find _% times 42 = 21.
let, it = x
now,
Divide 21/42 to get 0.5.
This is the same thing as 50%.
so, we get,
50% of 42 = 21
i.e. 300% of 7 = 50% of 42
Hence, The solution is , B) 50% of 42 is 300% of 7.
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At a music academy, a randomly selected group of people were asked which type of musical instrument they are learning to play. The results are displayed, by age, in the two-way frequency table.
String Woodwind Piano Total
Ages 15-19 11 3 7 21
Ages 20-24 9 10 17 36
Ages 25-29 16 6 7 29
Total 36 19 31 86
Based on the data in the table, which statement is true?
A.
P(learning a string instrument) ≠ P(ages 20-24)
B.
P(playing piano|ages 25-29) = P(ages 15-19|learning piano)
C.
P(ages 15-19|learning piano) ≠ P(ages 15-19)
D.
P(learning piano|ages 20-24) = P(learning piano)
P(ages 15-19|learning piano) = P(playing piano|ages 25-29) so option (B) must be correct.
What is a frequency table?A frequency table is a list of objects with the frequency of each item shown in the table.
The quantity of times that an event or value occurs is its frequency.
In other words, a frequency table is a table in which we have some data and their frequency.
Given the problem has been attached below,
It is clear that
Number of playing piano in the age of 25 - 29 = Number of playing piano in the age of 15 - 19
Hence it should be the correct answer.
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I need help on this please
Answer:
-22
Step-by-step explanation:
each mark decreases by three, two marks down from 16 would be 16+3+3; which equals 22, and it has to be negative
hope this helped!
Mr. Addison is building a sandbox shaped like a rectangular prism. The sandbox is 9ft long, 5ft wide, and 2.5 ft deep. How many cubic ft of sand will the sandbox hold?
write an equation for a prabola with a vertex at the origin, passing through(5,6), and symmetric with respect to the x-axis
a parabola with symmetry or mirror image across the x-axis, will be a horizontal parabola, namely one that opens either to the right or left.
a horizontal parabola will be a parabola whose independent variable is the "y", so it'll be an x(y) type of equation.
[tex]~~~~~~\textit{horizontal parabola vertex form} \\\\ x=a(y- k)^2+ h\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\supset}\qquad \stackrel{"a"~is~positive}{op ens~\subset} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} h=0\\ k=0 \end{cases}\implies x=a(y-0)^2+0\qquad \textit{we also know that} \begin{cases} x=5\\ y=6 \end{cases} \\\\\\ 5=a(6-0)^2 +0\implies 5=36a\implies \cfrac{5}{36}=a~\hfill \boxed{x=\cfrac{5}{36}y^2}[/tex]
please help, i’ll give pointsssss :)
Porter's coat has a diameter of 8 millimeters. What is the button's area
Determine whether each set of side lengths could be the sides of a right triangle. drag and drop each set of side lengths to the correct box. right triangle not a right triangle
The set of side lengths that could be the sides of a right triangle must follow the Pythagoras theorem
How to determine the side lengths?The rule of the side lengths of a right triangle is:
[tex]c^2 = a^2 + b^2[/tex]
Where c is the length of the longest side, and a and b represent the lengths of the triangle
This in other words mean that:
All right triangles obey the Pythagoras theorem
Note that I gave a general explanation because the question is incomplete
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How many inches around is the border if the diameter of the pizza is 8 inches?
Answer:
25.12
Step-by-step explanation:
Since it says around the pizza, we can assume it means circumference.
So, the formula to find circumference is C=2πr.
We have a diameter which is 8. We know that radius is half of the diameter. So, half of 8 is 4.
Now that we have the radius we can plug in the numbers for the formula C=2πr.
C=2πr
C=2*3.14*4
C=25.12
your answer is 25.12 inches.
Pleaseeeee helpppppp
Please help me evaluate this in terms of sin/cos/sec etc. (trigonometric form)
tan2θ-(1-tan2θ)=?
The evaluation is (2sin2∅-cos2∅)sec2∅.
What are trigonometric functions?Trigonometric functions are functions used to relate the sides of a triangle with its angles.
Analysis:
2tan2∅ -(1- tan2∅)
2tan2∅ - 1 + tan2∅
3tan2∅ - 1
3([tex]\frac{sin2\alpha }{cos2\alpha }[/tex]) - 1
(3sin2∅/cos2∅) - 1
(3sin2∅ - cos2∅)/cos2∅
but 1/cos2∅ = sec2∅
(3sin2∅ - cos2∅)/sec2∅
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which ordered pair could represent a y-intercept on a graph
Answer: (0,6)
Step-by-step explanation: