Answer:
D. Dividend
Step-by-step explanation:
That is the term
A new car's original price is $13,999. If it's on sale
for 10% off, what's the new price?
Jocelyn’s plane travelled 500 mph for 7.3 hours. How far did her plane travel?
Answer:
Jocelyn's plane travelled 3650 miles.
Step-by-step explanation:
mph stands for miles per hour.
Let's set up an equation.
total miles = speed(hours)
Jocelyn's plane travelled 500 mph for 7.3 hours.
total miles = 500(7.3)
Multiply.
total miles = 3650
Jocelyn's plane travelled 3650 miles.
Hope this helps!
Please solve the picture I just send
The coordinates of point P are (5, -3.5). The equation of the circle is \((x - 5)^2 + (y + 3.5)^2 = 1.5^2\). The equation of KL is y = (-4/3)x + 22/3.
To find the coordinates of point P, we can first find the midpoint of MN, which is the center of the circle. The midpoint formula is given by:
Midpoint = ( (x1 + x2) / 2 , (y1 + y2) / 2 )
Using the coordinates of M(3,-5) and N(7,-2), we can calculate the midpoint:
Midpoint = ( (3 + 7) / 2 , (-5 + -2) / 2 ) = (5, -3.5)
Since the midpoint of MN is the center of the circle, the coordinates of P will be the same as the coordinates of the center, which are (5, -3.5).
i. To determine the equation of the circle in the form of \((x-a)^2\) + \((y-b)^2\) = \(r^2\), we can use the center and any point on the circle. We can use point N(7,-2), which lies on the circle.
The radius of the circle is half the length of PN. Therefore, the radius is given by:
Radius =\(1/2 * \sqrt((7 - 5)^2 + (-2 - (-3.5))^2) = 1.5\)
Substituting the values into the equation, we get:
\((x - 5)^2 + (y + 3.5)^2 = 1.5^2\)
ii. To determine the equation of KL in the form of y = mx + c, we can use the slope of the tangent line.
The slope of KL can be calculated as the negative reciprocal of the slope of the radius line MN. The slope of MN is given by:
m = (y2 - y1) / (x2 - x1) = (-2 - (-3.5)) / (7 - 5) = 1.5 / 2 = 0.75
The negative reciprocal of 0.75 is -4/3, which represents the slope of KL.
Using the point N(7,-2) and the slope -4/3, we can use the point-slope form of a line to find the equation of KL:
y - (-2) = (-4/3)(x - 7)
y + 2 = (-4/3)x + 28/3
y = (-4/3)x + 22/3
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I’s it yes or no because you have to justify the answer
Yes, both triangles are similar.
What is similar triangle?Similar triangles are two triangles that have the same shape, but may differ in size. In other words, their corresponding angles are congruent and their corresponding sides are proportional. This means that if you were to scale one triangle up or down, it would still maintain the same shape as the other triangle.
In ΔABC,
AC² = 36² +15²
AC² = 1521 = 39²
AC = 39
In ΔXYZ,
XY² = 24² +10²
XY² = 676 = 26²
XY = 26
If the ratio of the sides of both triangles are similar So we can say that the both triangles are similar.
AB/XZ = BC/YZ = AC/XY
15/10 = 36/24 = 39/26
3/2 = 3/2 = 3/2
Here we can see that the ratio of the sides of both triangles are similar So we can say that the both triangles are similar.
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Help plsssssssssssssssssssssss thanks so much
Answer:
Multiply and simplify as always
Step-by-step explanation:
8/9 x 3/4 = 24/36
simplify 24/36 into 2/3
Answer: \(\frac{24}{36}\)
8×3=24
9×4=36
I hope this is good enough:
Margie volunteered to supply heart-shaped sugar cookies for her third-grade class' Valentine's Day party. Her mom will use premade cookie dough in a tub and buy pink frosting and sprinkles, too. Margie would like to give one cookie to each of her 26 classmates. One tub of cookie dough makes 20 cookies and costs $9.95. The frosting will cover 30 cookies and costs $4.59. The package of sprinkles covers up to cookies 60 and costs $2.29. When Margie's sister, Nicole, hears about the cookies, she asks her mom if they can bake one cookie for each of the students in her class, too. Nicole is in fifth grade and she has 31 students in her class. How much will the ingredients cost for both of the classes?
Answer: $41.32
Step-by-step explanation:
1. Figure out how many students need cookies.
26 + 31 = 57, 57 students need cookies, thus they need to make at least 57 cookies.
2. Figure out which ingredients are still needed.
One tub of cookie dough makes 20 cookies, so to make 57 cookies, they will need at least three tubs. One frosting tin covers 30 cookies, so to cover 57 cookies, they will need at least two tins. One bag of sprinkles covers 60 cookies, so they will only need one bag, as 60 > 57.
3. Tally up the prices of each ingredient
Price of cookie dough = 9.95, amount of cookie dough needed = 3
9.95 * 3 = 29.85
Price of frosting = $4.59, amount of frosting needed = 2
4.59 * 2 = 9.18
Price of sprinkles = 2.29, amount of sprinkles needed = 1
2.29 * 1 = 2.29
4. Find the sum.
29.85 + 9.18 + 2.29 = 41.32
The expression 6(x − 5) means the
A. sum of 6 and the sum of x and 5
B. product of 6 and sum of x and 5
C. product of 6 and difference of x minus 5
D. sum of 6 and the difference of x minus 5
Taylor's dad lifted 80°g of weight how much more did Taylor's dad left than Davin record your answering grams
The weight that Taylor's dad lifted higher will be 30g.
What is weight?It should be noted that weight simply means the mass that a body contains.
From the information, Taylor's dad lifted 80g of weight and Davin's dad lifted 50g of weight.
The weight that Taylor's dad lifted more than Davin's dad will be:
= Weight of Taylor's dad - Weight of Davin's dad
= 80 - 50
= 30g
The difference is 30g.
The complete question is written below.
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Taylor's dad lifted 80g of weight and Davin's dad lifted 50g of weight. How much more did Taylor's dad lift than Davin?
The graph of f(x) = x² is translated to formg(x) = (x-2)2-3.--5-4-3-2-1-2+Which graph represents g(x)?#
Step 1
Plot the graph of f(x)
\(f(x)=x^2\)Step 2
The function of g(x) suggests that f(x);
\(\begin{gathered} 1)\text{ it was moved 2 units towards the right} \\ 2)\text{ It was then moved 3 units down} \end{gathered}\)Thus, the graph of g(x) will look like this;
Answer;
Graph the given functions, fand g, in the same rectangular coordinate system Select integers for x, starting with-2 and ending with 2, and describe how the graph of g is related to the graph off.f(x)=x?_g(x)=x² - 3
Given
The functions,
\(\begin{gathered} f(x)=x^2 \\ g(x)=x^2-3 \end{gathered}\)To complete the ordered pairs for f(x)=x².
Explanation:
It is given that,
\(\begin{gathered} f(x)=x^2 \\ g(x)=x^2-3 \end{gathered}\)That implies, for x=-2,
\(\begin{gathered} f(-2)=(-2)^2 \\ =4 \end{gathered}\)Also, for x=-1.
\(\begin{gathered} f(-1)=(-1)^2 \\ =1 \end{gathered}\)For x=0,
\(\begin{gathered} f(0)=0^2 \\ =0 \end{gathered}\)For x=1,
\(\begin{gathered} f(1)=1^2 \\ =1 \end{gathered}\)For x=2,
\(\begin{gathered} f(2)=2^2 \\ =4 \end{gathered}\)Hence, the ordered pairs are,
\(\left(-2,4\right),(-1,1),(0,0),(1,1),(1,4).\)Question 3 Write a method that solves for x in the quadratic equation. The parameters are a, b, c, and boolean flag that indicates whether it will solve the equation with addition or subtraction in the numerator. 2-4ac ㄨㄧ- 2a Source: Wikipedia The method will return the value of x
On solving the providewd question we can say that, public static double solve(double a, double b, double c, boolean flag )
What is quadratic equation?A quadratic equation is a quadratic polynomial in one variable that looks like this: x = ax2 + bx + c. a 0. This polynomial has at least one solution since it is a second-order polynomial, according to the Fundamental Theorem of Algebra. The answer can actually work or be difficult.
public static double solve(double a, double b, double c, boolean flag)
{ double d = Math.sqrt(b*b - 4*a*c); if(flag)
{ return (-b + d) / (2*a); }
else { return (-b - d) / (2*a); } }
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Bill and Alma are 230 miles apart traveling towards each other.Bill is traveling 16 miles per hour faster than Alma and they meet in 5 hours.How fast was each traveling?
Given,
The distance between both Alma and Bill is 230 miles.
The Speed of Bill is 16 miles per hour faster than Alma.
The taken by both to meet is 5 hours.
Consider, The speed of Alma is x mile per hour.
The speed of Bill is (x+16) mile per hour.
The formula of speed is,
\(\begin{gathered} \text{Speed=}\frac{Dis\tan ce}{time} \\ 16+x+x=\frac{230}{5} \\ 16+2x=46 \\ 2x=30 \\ x=15 \end{gathered}\)Hence, the speed of the Alam is 15 mile per hour and speed of Bill is 31 km per hour.
Please help
look at picture
Any answers not related to the question above will be reported
Answer:
5206 cm^2
Step-by-step explanation:
2(31×23 + 31×35 + 23×35)
2(713 + 1085 + 805)
2(2603)
5206
PLS HELP! weights (in pounds) of catfish caught in the river: 4.8 3 2.7 4.4 4.8 9.9 What is the outlier? A) 3 lbs B) 4.8 lbs C) 9.9 lbs D) none
The correct answer is C) 9.9 lbs as it is above the upper boundary 6.4865, it is the outlier in this dataset.
What is an outlier?An outlier is an observation that is much higher or lower than the other observations in a dataset.
In this case, the weights of the catfish range from 2.7 to 4.8 lbs, with one observation that is much higher at 9.9 lbs.
Therefore, 9.9 lbs is the outlier in this dataset.
To find the outlier in this dataset, we can calculate the interquartile range (IQR).
This is done by first calculating the first quartile (Q1) and third quartile (Q3).
The Q1 for this dataset =3.75
and the Q3= 4.675.
IQR= Q3 - Q1
= 0.925.
We then calculate the lower boundary as Q1 - (1.5 x IQR) = 2.3625.
The upper boundary is Q3 + (1.5 x IQR)= 6.4865.
Since 9.9 lbs is above this upper boundary, it is the outlier in this dataset.
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If $20,000 is invested at an interest rate of 2% per year, compounded semiannually, find the value of the investment after the given number of years. (Round your answers to the nearest cent.)
6 years
12 years
18 years
Answer:
6 years = $22,536.50
12 years = $25,394.69
18 years = $28,615.38
Step-by-step explanation:
The find the value of the investment after the given number of years, first create an equation for A in terms of t using the compound interest formula.
Compound Interest Formula\(\boxed{\sf A=P\left(1+\frac{r}{n}\right)^{nt}}\)
where:
A = Final amount.P = Principal investment.r = Interest rate (in decimal form).n = Number of times interest is applied per year.t = Time (in years).Given values:
P = $20,000r = 2% = 0.02n = 2 (semi-annually)Substitute the given values into the formula to create an equation for the value of the investment, A, in terms of time in years, t:
\(\implies \sf A=20000\left(1+\dfrac{0.02}{2}\right)^{2t}\)
\(\implies \sf A=20000\left(1+0.01\right)^{2t}\)
\(\implies \sf A=20000\left(1.01\right)^{2t}\)
\(\hrulefill\)
To find the value of the investment after 6 years, substitute t = 6 into the equation:
\(\implies \sf A=20000\left(1.01\right)^{2\cdot 6}\)
\(\implies \sf A=20000\left(1.01\right)^{12}\)
\(\implies \sf A=20000(1.12682503...)\)
\(\implies \sf A=22536.5006026...\)
Therefore, the value of the investment after 6 years is $22,536.50 rounded to the nearest cent.
\(\hrulefill\)
To find the value of the investment after 12 years, substitute t = 12 into the equation:
\(\implies \sf A=20000\left(1.01\right)^{2 \cdot 12}\)
\(\implies \sf A=20000\left(1.01\right)^{24}\)
\(\implies \sf A=20000\left(1.2697346...\right)\)
\(\implies \sf A=25394.69297...\)
Therefore, the value of the investment after 12 years is $25,394.69 rounded to the nearest cent.
\(\hrulefill\)
To find the value of the investment after 18 years, substitute t = 18 into the equation:
\(\implies \sf A=20000\left(1.01\right)^{2\cdot 18}\)
\(\implies \sf A=20000\left(1.01\right)^{36}\)
\(\implies \sf A=20000\left(1.43076878...\right)\)
\(\implies \sf A=28615.37567...\)
Therefore, the value of the investment after 18 years is $28,615.38 rounded to the nearest cent.
Jack leaves home for school on his bike every day at 6 a.m., travelling at 32 km/h.
One day he forgot his homework, which his mother discovered in the car 15 minutes after he had left.
She immediately left home and chased after Jack, travelling at 52 km/h.
At what time did she catch up to him?
Rewrite as a simplified fraction.
0.1 with the 1 repeating
Answer:
\(\frac{1}{9}\)
Step-by-step explanation:
\(\frac{1}{9} =0.111111111111111111\)
Compute the simplified numerical value of the expression: (4042 + 4040 + 4038 + ... + 6 + 4 + 2) −
(4041 + 4039 + 4037 + ... + 5 + 3 + 1).
Answer:
43
Step-by-step explanation:
find the absolute valve of 1 1/2 - 2/31
Answer: To find the absolute value of the expression 1 1/2 - 2/31, we first need to convert the mixed number 1 1/2 into an improper fraction.
1 1/2 can be written as (2 * 1 + 1) / 2, which is equal to 3/2.
Now we can subtract 2/31 from 3/2:
3/2 - 2/31 = (3 * 31 - 2 * 2) / (2 * 31) = (93 - 4) / 62 = 89/62.
The absolute value of a fraction is the positive value without considering its sign. So, the absolute value of 89/62 is 89/62.
Therefore, the absolute value of 1 1/2 - 2/31 is 89/62.
Simplify: -0.2sqrt(x^2)
PLEASE HELP NEED ASAPPP
Answer:
i think -0.2x
Step-by-step explanation:
Four standard, six-sided dice are to be rolled. If the product of their values turns out to be an even number, what is the probability their sum is odd? Express your answer as a common fraction.
Answer:
Your answer is 8/15.....
pls help i need help pls asap
Answer:
I Think C most likey because u can dived them very easily
Robert can mow a 600 square lawn in 1 hour and 20 minutes. How many lawns in the same size's can he mow in 8 hours?
The top most point of a pyramid is at the center of a cube The height of a cube is 10 inches what is the volume of the square pyramid inside the cube?
Answer:
166.67 in³
Step-by-step explanation:
If the top of the pyramid is at half of the height of 10 cm tall cube, the height of the pyramid (h) is 5 inches.
Assuming that the base of the pyramid is the same as the base of the cube, the volume of the square pyramid is given by:
\(V=\frac{1}{3}*B*h\)
Where B is the area of the square base:
\(V=\frac{1}{3}*(10*10)*5\\ V=166.67\ in^3\)
The volume of the square pyramid inside the cube is 166.67 in³.
For what value of x do the two ratios suggest a proportional relationship?
14 to 4; x to 52
Choose the correct answer below.
A. 182
B. 13
C. 208
D. 56
will mark brainleist pls help
Answer:
x = 31°
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180° , that is
x + 54° + 95° = 180°
x + 149° = 180° ( subtract 149° from both sides )
x = 31°
A restaurant offered cooking classes on 24 of the 30 days in November. What decimal is equivalent to the fraction of days in November that classes were offered at the restaurant? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
Answer:
80%
Step-by-step explanation:
Divide 24÷30 to obtain a decimal value. Then multiply the result by 100. This will move the decimal 2 places to the right. 0.8×100= 80%
How to translate a graph of y= absolute value of x to obtain the graph of y= absolute value of x-6
Answer: Translate the graph of y=|x| 6 units to the right.
Please answer these questions! Need help!
Answer:
Question 2 is $500 and Question 3 is 5
Step-by-step explanation:
Which of the following is equivalent equation
Answer:
Option 1 F
Step-by-step explanation:
If all the terms in an equation have a common factor, then you can divide all the terms by that common factor and receive the same answer. In this question, all the terms are divisible by 3 (3, 12 and 6 can all divide by 3) so we can divide them all by 3 while keeping the equation equal, which gives us:
3y/3 = 12x/3 -6/3
y = 4x - 2
Hope this helped!