∵ The cost of 2 sweaters is $25.58
∵ The number of sweaters is 8
→ We will use the ratio method to solve the question
→ Cost : Number of sweaters
→ 25.58 : 2
→ x : 8
→ By using cross multiplication
∵ x * 2 = 25.58 * 8
∴ 2x = 204.64
→ Divide both sides by 2
∴ x = 102.32
∴ The cost of the 8 sweaters is $102.32
Which of the following are ordered pairs for the equation y = 1/2x + 2?
Answer:
Some ordered pairs could be (0,2) and (2,3).
Step-by-step explanation:
Hope this helps!!
I need help with this??
Select both the 2nd and 4th options!
simplify
\( \sqrt{324} \)
A. 16
B. 17
C. 18
D. 19
Answer: C) 18
Step-by-step explanation:
Your problem → Simplify square root of 324
First find factors of 324
2 324
2 162
3 81
3 27
3 9
3 3
1
324=2×2×3×3×3×3
324 = 2^2 × 3^4
Taking squareroot
∴√324=√2^2 × 3^4
=2 × 3^2
=18
∴ 324 is a perfect square
Help asap, please and thank you
To describe the temperatures for the week, we can apply the following statistical tools:
a) Find the mean, median, mode, and range.
c) Construct a line graph.
d) Construct a stem and leaf plot.
What are the statistical tools for describing temperatures?We can describe temperatures using measures of central tendencies (especially the mean, median, and mode).
The mean temperature is the average, which shows the overall trend in temperature changes. It is computed by adding up the temperatures for the period and diving by the number of data values.
In addition, the median gives the middle value when the data set is ordered in ascending or descending orders. Similarly, the mode gives the highest temperature occurrence within the period. It may not be useful here.
We can estimate the difference between the highest and lowest temperature for the week with the range.
A line graph (showing connecting lines) and a stem-and-leaf plot (like a bar graph) can graphically describe the temperatures for the week.
Thus, we can use Options A, C, and D to describe the temperature.
Learn more about the statistical tools for describing the temperatures at https://brainly.com/question/21424650
#SPJ1
Question Completion:What could you do to describe the following data, showing temperatures for the week? (Check all that apply.)
Mon - 65°
Tues - 67°
Wed - 66°
Thur - 70°
Fri - 72°
Sat - 68°
Sun - 69°
a) Find the mean, median, mode, and range.
b) Survey people about the weather.
c) Construct a line graph.
d) Construct a stem-and-leaf plot.
suppose Christian stops for coffee a given number of times per week. use the information in the following table to calculate how much he would save if he deposited the amount he would spend on coffee into an ordinary annuity instead. assume there are 4 weeks in a month.
Numbers of coffee per month: 40
Numbers of coffee per year: 40 x 12 = 480
480 * ($4.05) = $1944
$1944 * 0.036 = $69.98
Annual savings = $1944 + $69.98 = $2013.98
Savings on 13 years = $2013.98 *13 = $26181.79
Pls answer this question thank you i will give u brainliest
Find x in this equation
Answer:
5
Step-by-step explanation:
\(\triangle HBK \cong \triangle NBK\) by SAS. Using CPCTC, \(3x=x+10 \implies 2x=10 \implies x=5\).
This is the graph of y=x² + 4x + 7.
-5
What is the range of this function?
A. x²-2
B. y≤ 3
OC. y23
D. All real numbers
10- ly
(-2,3)
x45
Answer:
C y≥3
Step-by-step explanation:
Range is the y values that a function can be ...this one can be as low as 3 and up to infinity
A civil air patrol unit of 13 members includes 5 officers.in how many ways can three members be selected for a search and rescue mission such that at least one officer is included
Answer: We can solve this problem by counting the total number of ways to select three members and then subtracting the number of ways to select three members without any officers.
The total number of ways to select three members from a group of 13 is given by the combination formula:
C(13,3) = 286
To count the number of ways to select three members without any officers, we need to choose three members from the 8 non-officers. This can be done in C(8,3) = 56 ways.
Therefore, the number of ways to select three members with at least one officer is:
C(13,3) - C(8,3) = 286 - 56 = 230
There are 230 ways to select three members for the search and rescue mission such that at least one officer is included.
Step-by-step explanation:
Michaela plans on installing heated tile in her kitchen. A diagram of the kitchen floor plan is shown below.
Calculate the area of the floor, to the nearest 10th, to determine how many square metres of tile Michaela will need to buy.
*Hint: Divide the shape into 2! You will need to use trig!
Check the picture below.
so hmm we have a 6x6 square atop and a triangle with base of 6 and a height of "h", let's get "h".
\(\sin( 42^o )=\cfrac{\stackrel{opposite}{h}}{\underset{hypotenuse}{2}} \implies 2\sin(42^o)=h \implies 1.34\approx h \\\\[-0.35em] ~\dotfill\\\\ \stackrel{ \textit{\LARGE Areas} }{\stackrel{triangle}{\cfrac{1}{2}(\underset{b}{6})(\underset{h}{1.34})}~~ + ~~\stackrel{ square }{(6)(6)}} ~~ \approx ~~ 4.02+36~~ \approx ~~ \text{\LARGE 40.0}\)
A Pupil got to school by 7:30 am and left by 2:20pm. How many minutes did he spend in the school? Leave your answer in minutes.
Answer: Timespan is 410 minute(s).
Step-by-step explanation:
The graph below shows the line y=[x]. If the line y=|x|*2 were graphed on the same grid, hc would it compare to the line shown in the graph below.
The graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.
How to identify the transformation?The functions for this problem are defined as follows:
Parent function: y = |x|.Transformed function: y = 2|x|.When a function is multiplied by 2, we have that it is vertically stretched by a factor of 2.
Hence the graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.
More can be learned about transformations at https://brainly.com/question/28687396
#SPJ1
Which expression shows 48+16 in the form of C(a+b) where C is the greatest common factor of 48 and 16
Answer:
Step-by-step explanation:
a i promise
Please help. You get imaginary money if you help
Answer:
perimeter: 73.81 inarea: 284.955 in²Step-by-step explanation:
You want to find the perimeter and area of a sector that is 3/4 of the circle. The perimeter will be the sum of twice the radius and the length of the arc. The area will be 3/4 of the area of the full circle.
__
PerimeterThe length of a circular arc is ...
s = rθ . . . . . where θ is the central angle in radians
s = (11 in)(3/2π) . . . . . . . a 3/4 circle has a central angle of 3/2 radians
s = (11 in)(3/2)(3.14) = 51.81 in
When we add the two radii to this, we get a total perimeter of ...
P = 2r +s = 2(11 in) +51.81 in = 73.81 in . . . . perimeter of the figure
__
AreaThe area of a sector is given by the formula ...
A = 1/2r²θ . . . . . where r and θ are the radius and central angle (in radians)
A = 1/2(11 in)²(3/2π) = (1/2)(121 in²)(3/2)(3.14)
A = 284.955 in² . . . . area of the figure
PLSSSS HELPPP I WILL FIVE BRAINLY!!!!
Answer:
The first box : -4 the second one : 6
Step-by-step explanation:
subtract 7 from 3 for the first box, then add 10 to -4 for the second one.
If these triangles are similar to using SAS, which angles must be equivalent?
Given
Two triangles are similar with SAS rule.
Also,
To find:
Which angles are equivalent?
Explanation:
It is given that,
Two triangles are similar with SAS rule.
Also,
That implies,
From, the figure,
Side BC is equivalent to side YZ, and side AB is equivalent to side XZ.
Since SAS rule states that,
The angle included in the two similar sides are equivalent.
Hence,
\(\angle B\text{ }is\text{ equivalent to }\angle Z\)Select the correct answer.Let f(x) and g(x) be polynomials as shown below.f(x) = a + a₁ + a₂²... + anng(x) = bo + b₁x + b₂x² ... + bmxmWhich of the following is true about f(x) and g(x)?OA.OB.OC.O D.x) and g(x) are not closed under addition because when added, the result will not be a polynomial.(x) and g(x) are closed under addition because when added, the result will be a polynomial.x) and g(x) are closed under addition because when added, the result will not be a polynomial.f(x) and g(x) are not closed under addition because when added, the result will be a polynomial.
Step 1
Given; Select the correct answer.
Let f(x) and g(x) be polynomials as shown below.
f(x) = a + a₁ + a₂²... + aₙn
g(x) = bo + b₁x + b₂x² ... + bmxm
Which of the following is true about f(x) and g(x)?
Step 2
Polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.
Thus,
\(f(x)+g(x)=(a_o+b_o)+(a_1+b_1)x+(a_2+b_2)x^2+....+(a_nx_{^n}+b_mx^m)\)As seen above, f(x) and g(x) are closed under addition because when added, the result will be a polynomial.
Answer; f(x) and g(x) are closed under addition because when added, the result will be a polynomial.
how many square meters are in 317 mm^2?
Answer: There are 0.000317 square meters in 317 mm^2
Step-by-step explanation:
Answer:
it is 0.000317
Step-by-step explanation:
divide the area value by 1e+6
Amadi is three times as old as Chima. The sum of their ages is 24
Answer:
Amadi: 20 years old
Chima : 4 years old
Add. write your answer in simplest form.
-4 _/135 + 7 _/15
\( \huge\quad\qquad\underline{{\sf Answer}}\)
Let's solve ~
\(\qquad \sf \dashrightarrow \: - 4 \sqrt{135} + 7 \sqrt{15} \)
\(\qquad \tt \dashrightarrow \: - 4 \sqrt{5 \times3 \times 3 \times 3} + 7 \sqrt{15} \)
\(\qquad \tt \dashrightarrow \:( - 4 \times 3) \sqrt{5 \times 3} + 7 \sqrt{15} \)
\(\qquad \tt \dashrightarrow \: - 12 \sqrt{15 } + 7 \sqrt{15} \)
\(\qquad \tt \dashrightarrow \: - 5 \sqrt{15} \)
Which set of values could be the side length of a 30 60 90 triangle? A. {5,5v3,10}
Therefore, the answer is A. {5, 5√3, 10}.
The set of values {5, 5√3, 10} could be the side lengths of a 30-60-90 triangle.
In a 30-60-90 triangle, the sides are in a specific ratio. The ratio is 1 : √3 : 2, where the shortest side (opposite the 30-degree angle) has length x, the side opposite the 60-degree angle has length x√3, and the hypotenuse (opposite the 90-degree angle) has length 2x.
Let's check if the given set of values satisfies this ratio:
If x= 5, then the side opposite the 60-degree angle should be 5√3, and the hypotenuse should be 10. These values match the ratio, so the set {5, 5√3, 10} could be the side lengths of a 30-60-90 triangle.
For such more question on lengths
https://brainly.com/question/28322552
#SPJ8
Ezra applied the distributive property to the expression 8(y+2) . He then used the commutative property.
correctly complete the statement
After applying the distributive property, Ezra's expression was ________
After he used the commutative property, his expression was __________
answers: 2+8y, 8y+2, 8y+16, 16+8y, 8y + 1 x 2, 8y + 1 x 16
Answer:
After applying the distributive property, Ezra's expression was 8y + 16
After he used the commutative property, his expression was 16 + 8y
Step-by-step explanation:
Distributive property rule: a(x+y) = ax + ay
Not much to explain here
Commutative property rule: a + b = b + a or xy = yx
We use addition rule in this case, simply place 16 in front of 8y
a ramp is built to reach a doorway that is 9 feet off the ground. the ramp makes a 37 angle with the driveway. how long is the ramp
The length of the ramp from the doorway is 11.94ft
What is Trigonometric RatioIn mathematics, the trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths. They are widely used in all sciences that are related to geometry.
To solve this problem, we are going to look at SOHCAHTOA and see which of the ratios fit in this problem.
Adjacent = xOpposite = 9ftAngle = 37 degreeUsing Tangent of an angle, we can find the length of the ramp.
\(tan\theta = \frac{opposite}{adjacent}\)
Let's substitute the values into the equation and solve.
\(tan 37 = \frac{9}{x} \\x = 11.94ft\)
The length of the ramp is 11.94ft
Learn more on trigonometric ratio here;
https://brainly.com/question/24349828
#SPJ1
A recipe for chocolate chip cookies calls for 4 cups of flour and 3 tablespoons of brown sugar. How many tablespoons of brown sugar would be needed if the amount of flour were increased to 12 cups? PLZ i'll pay well
Answer:
it will be increased to 6 tablespoons more so it will be 9 tablespoons in total
Step-by-step explanation:
12 divided by 4 is 3
so 3 x 3 is 9
9 tbsp i total of brown sugar
Can somebody explain how to solve this pls??
Answer:
1: domain: 1, 3, 5, -2, -3
Range: 1, 3, 5, 1, -3
2: Domain: 2, 1, -1, -3, -3
Range: 3, -4, -2, 1, 3
Step-by-step explanation:
the domain is the x intercepts, so if the coord is (5, 7) the domain would be 5
The range is the y intercept, so if the coord would also be (5. 7) the range would be 7
and yea uh tell me if i did anything wrong
The half-life of phosphorus-32 is approximately 24.3 days.
Determine a so that A(t)=A0at describes the amount of phosphorus-32 left after t days, where A0 is the amount at time t=0. ROUND TO SIX DECIMAL PLACES.
Please help every answer has been incorrect so far.
Answer:
\(A=A_0(0.971878)^t\)
Step-by-step explanation:
The half-life of Phosphorus-32 is approximately 24.3 days.
We have the equation:
\(\displaystyle A = A_0 (a)^t\)
And we would like to determine a.
First, since it is half-life, a=1/2.
Second, since the half-life for our element is 24.3 days, we need to substitute t for t/24.3. This yields:
\(\displaystyle A = A_0 (\frac{1}{2})^\frac{t}{24.3}\)
In this way, if t=24.3, then we would have one half-life.
We can rewrite our equation as:
\(\displaystyle A = A_0 (\frac{1}{2}^\frac{1}{24.3})^t\)
Approximate, rouding to six decimal places. So, our function is:
\(A=A_0(0.971878)^t\)
Therefore, our new a is:
\(a\approx0.971878\)
This will give the amount of Phosphorus-32 left after t days, giving the initial amount of A₀.
how do you expand:
4( x + 3)
4(x - 5)
2(x + 2)
4(1 - c)
Step-by-step explanation:
hello,
you just need to multiply all values inside the brackets with the value outside the bracket and then work it out as normal.
for instance,
a) 4( x + 3)
= 4x + 12
here you can see i multiplied both values by 4.
b) 4(x - 5)
= 4x - 20
c)2(x + 2)
= 2x + 4
d) 4(1 - c)
= 4 - 4c
hope this makes things clearer for you! thank you!
Given just the graph what 3 steps are required to write the equation of a line?
Answer:
Step-by-step explanation:
step 1:
determining the values for standard form for the equation of a line,
y = mx + c
Step 2:
calculation of m, where m is the gradient or slope which determines how steep the line is.
step 3:
calculation of c, where c is the height at which the line crosses the y - axis also known as y - intercept
Ricardo has a square hot tub. He wants to build a square pool next to it that is a dilation of the hot tub using a scale factor of 5. Point Q is the center of dilation. Square A B C D is dilated to created square A prime B prime C prime D prime. The length of B prime C prime is 24 feet. If the pool is to be 24 ft on each side, what is the length of one side of the hot tub? 4 ft 4.8 ft 6 ft 7.2 ft
Answer:
\(\boxed{Side \ Length \ of \ hot \ tub = 4.8\ ft.}\)
Step-by-step explanation:
Scale Factor = 5
Also,
B'C' = 24 feet
Since both are squares so both have all sides equal.
Sqaure A'B'C'D' is dilated by a scale factor of 5
So,
AB = BC = CD = DA = 24/5 = 4.8 ft.
The length of one side of the hot tub is 4.8 feet and this can be determined by using the concept of dilation.
Given :
Ricardo has a square hot tub. He wants to build a square pool next to it that is a dilation of the hot tub using a scale factor of 5.Square A B C D is dilated to create square A prime B prime C prime D prime. The length of B prime C prime is 24 feet.The following steps can be used in order to determine the length of one side of the hot tub:
Step 1 - According to the given data, the dilation factor is 5.
Step 2 - So, after the dilation by a factor of 'a' the length of the side be 'b' becomes 'ab'.
Step 3 - So, according to the given data, the length of B prime C prime is 24 feet. Therefore, after the dilation by a factor of 5, the length of the segment BC becomes:
\(\rm =\dfrac{24}{5}=4.8\;feet\)
So, the length of one side of the hot tub is 4.8 feet. Therefore, the correct option is b).
For more information, refer to the link given below:
https://brainly.com/question/2856466
Solve the given initial-value problem. 2y'' + 3y' − 2y = 10x2 − 8x − 13, y(0) = 0, y'(0) = 0
y(x)=
Refer to the images attached. Please let me know if you have any questions regarding how I did things or why.