Answer:
2 % amount = 12000 7% amount = 1000 dollars
Step-by-step explanation:
x = 2% amount
then 13 000 - x = 7% amount
.02x + .07 (13000-x) = 310
-.05x + 910 = 310
.05x = 600
x = 600/.05 = 12000 then the 7% amount is 1000
Simplify the expression (10 + 3i)(10 - 3i).
Answer:
109
Step-by-step explanation:
[tex]\textbf{Assuming}~ i ~\textbf{as the imaginary unit, where}~ i = \sqrt{-1}~ \textbf{and}~ i^2 = -1\\\\\textbf{Given that,}\\\\~~~(10+3i)(10-3i)\\\\=10^2 -(3i)^2~~~~~~~~~~;\textbf{Difference of two squares} ~a^2 -b^2 = (a+b)(a-b)\\\\=100-9i^2\\\\=100-9(-1)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;{i^2 = -1}\\\\=100+9\\\\=109[/tex]
[tex](a-b)(a+b)=a^2-b^2[/tex]
Therefore
[tex](10 + 3i)(10 - 3i)=100-9i^2[/tex]
Work out the perimeter of the shaded shape.
3cm
8cm
5cm
7cm
The diagram is not drawn to scale.
Answer:
23 because ya
Step-by-step explanation:
uesssssdssssssss
A cashier earns $7 an hour. if x is the number of hours worked, which function represents the cashier’s earnings? y = 7x y = x superscript 7 y = startfraction 7 over x endfraction y = 7
Answer:
y=7x
Step-by-step explanation:
The job pays $7 per 1 hour so to find out how much money you get for x hours, you would multiply the hourly rate ($7) by the amount of hours (x)
Answer:
y=7x
Step-by-step explanation:
edge review 2022
On a coordinate plane, a circle has a center at (negative 2, 0). Point (negative 2, 4) lies on the circle.
Distance formula: StartRoot (x 2 minus x 1) squared + (y 2 minus y 1) squared EndRoot
Does the point (1, StartRoot 7 EndRoot) lie on the circle shown?
Explain.
Yes, the distance from (–2, 4) to (1, ) is 4 units.
Yes, the distance from (–2, 0) to (1, StartRoot 7 EndRoot) is 4 units.
No, the distance from (–2, 0) to (1, StartRoot 7 EndRoot) is not 4 units.
No, the distance from (–2, 4) to (1, StartRoot 7 EndRoot) is not 4 units.
The correct answer to where the point(1, StartRoot 7 EndRoot) lies on the circle is A. Yes, the distance from (–2, 0) to (1, StartRoot 7 EndRoot) is 4 units
What is a Coordinate Plane?This refers to the tool that is used to graph points on a two-dimensional plane that intersects two number lines.
Hence, given the information in the given diagram, there is a coordinate plane that shows a circle at the center that has certain values on the y and x-axis.
We can state that the point (1, StartRoot 7 EndRoot) lies on the circle shown because the distance from (–2, 0) to (1, StartRoot 7 EndRoot) is 4 units.
Read more about coordinate planes here:
https://brainly.com/question/7038052
#SPJ1
Answer: A on edge
Step-by-step explanation:
because i said so
An isosceles trapezoid has base lengths of 12 in and 18 in. If the area of the larger shaded triangle is 72 square inches, find the area of the smaller shaded triangle.
Answer:
32 in²
Step-by-step explanation:
length ratio = [tex]\frac{12}{18}[/tex] = [tex]\frac{2}{3}[/tex]
area ratio = ([tex]\frac{2}{3}[/tex] )² = [tex]\frac{4}{9}[/tex]
smaller area = 72 × [tex]\frac{4}{9}[/tex] = 8 × 4 = 32 in²
The area of the smaller shaded triangle is approximately 31.98 square inches.
The area of a triangle is given by the formula: A = 1/2 * base * height. In an isosceles trapezoid, the two parallel sides are equal in length. In this case, the base lengths of the trapezoid are 12 inches and 18 inches.
To find the area of the larger shaded triangle, we need to determine its base and height.
The base of the larger shaded triangle is the same as the length of the larger base of the trapezoid, which is 18 inches.
Let's denote the height of the larger shaded triangle as h1. Using the formula for the area of a triangle, we have: 72 = 1/2 * 18 * h1 To solve for h1, we can multiply both sides of the equation by 2 and divide by 18: 2 * 72 = h1 h1 = 144 / 18 h1 = 8 inches
So, the height of the larger shaded triangle is 8 inches. Now, let's find the area of the smaller shaded triangle. The base of the smaller shaded triangle is the same as the length of the smaller base of the trapezoid, which is 12 inches. Let's denote the height of the smaller shaded triangle as h2. Using the formula for the area of a triangle, we have: A = 1/2 * base * height A = 1/2 * 12 * h2
We don't know the value of h2, but we do know that the two shaded triangles are similar because they have equal angles. This means that the ratio of the heights of the two triangles is the same as the ratio of their bases. The ratio of the bases of the two triangles is 18/12 = 3/2.
So, the ratio of the heights of the two triangles is also 3/2.
To find the height of the smaller shaded triangle, we can set up a proportion: h2 / 8 = 2/3 Cross-multiplying, we have: 3 * h2 = 8 * 2 3 * h2 = 16 h2 = 16 / 3 h2 = 5.33 (rounded to two decimal places)
So, the height of the smaller shaded triangle is approximately 5.33 inches.
Now, we can find the area of the smaller shaded triangle using the formula: A = 1/2 * base * height A = 1/2 * 12 * 5.33 A = 31.98 square inches (rounded to two decimal places)
Therefore, the area of the smaller shaded triangle is approximately 31.98 square inches.
To know more about trapezoid here
https://brainly.com/question/1410008
#SPJ2
NoT YellInG ThIS IS JuSt TO AtTRaCT AtTeNTiOn 50 POiNtS PLeaSE ANswER I Am NoT WasTiNg PoInTS!!! Find the range of 1 1/4, 5/8, 3/4, 1/2, 1 1/2, and 1 3/4
Answer:
Range = 1 1/4
Step-by-step explanation:
Range = Maximum - Minimum
Arranging the data in ascending order :
1/2, 5/8, 3/4, 1 1/4, 1 1/2, 1 3/4Solving for range :
Range = 1 3/4 - 1/2Range = 1 3/4 - 2/4Range = 7/4 - 2/4Range = 5/4Range = 1 1/4A student claims that tan^2 0+1 = sec^2 0 can be converted to sin^2 0 + cos^2 0 = 1. which sequence of steps supports this claim?
Students claim is correct. We can convert tan²θ + 1 = sec²θ to (sin²θ + cos²θ) = 1.
What is Trigonometry?Trigonometry is the branch of mathematics that deals with the relationship between ratios of the sides of a right-angled triangle with its angles.
Here,
tan²θ + 1 = sec²θ
sin²θ/cos²θ + 1 = 1/cos²θ
By taking LCM, we get
(sin²θ + cos²θ)/cos²θ = 1/cos²θ
(sin²θ + cos²θ) = cos²θ/cos²θ
(sin²θ + cos²θ) = 1
Thus, Students claim is correct. We can convert tan²θ + 1 = sec²θ to (sin²θ + cos²θ) = 1.
Learn more about Trigonometry from:
https://brainly.com/question/22698523
#SPJ1
Suppose the length and the width of the sandbox are doubled.
The percentage change in perimeter is 100%.
The percentage change in area is 300%
How to find perimeter and area?The perimeter of the sandbox = 2l + 2w
where
l = lengthw = widthTherefore,
perimeter = 2(10) + 2(6)
perimeter = 20 + 12 = 32 ft
The area of the sand box = lw
area = 10 × 6 = 60 ft²
If the length and width are doubled,
length = 2(10) = 20 ft
width = 2(6) = 12 ft
hence,
perimeter = 2(20) + 2(12) = 40 + 24 = 64 ft
area = 12 × 20 = 240 ft²
Therefore,
percentage change in perimeter = 64 - 32 / 32 × 100 = 100%
percentage change in area = 240 - 60 / 60 × 100 = 18000 / 60 = 300%
learn more on perimeter and area here: brainly.com/question/15322533
#SPJ1
Which graph represents the solution set for the system 2x + 5y ≤ 9 and 3x + 5y ≤ 9? A. graph A B. graph B C. graph C D. graph D
Answer:
c is the answer to the question
Which of the following best describes the pattern in the diagram shown below? 2 3 O A. As you move from left to right, the number of points in the star decreases by 1. OB. As you move from left to right, the number of points in the star increases by 1. O C. As you move from right to left, the number of points in the star increases by 1. O D. As you move from left to right, the number of points in the star remains the same.
A Clothing shop sold 140 Jackets an d 60 rain coats during the winter sale . Find the ratio of the number of raincoats sold to the Jackets sold.
Answer:
3:7
Step-by-step explanation:
60 ratio 140
Divide both sides by 10
6 ratio 14
Divide both sides by 2
3 ratio 7
3:7 ✔️
Pls help! I will give brainliest! And pls no links. What is 29 oz to Ib?
Answer:
1.8125 lb(pounds)
Step-by-step explanation:
there are 16 oz in 1 lb
so 29/16 = 1.8125
Suppose we want to assess the effect of a one-day SAT prep class at a 5% level of significance. Scores on the SAT writing exam can range from 200 to 800. A random sample of 50 students takes the SAT writing test before and after a prep class. We test the hypotheses: : : where is the mean of the difference in SAT writing scores (after minus before) for all students who take the SAT prep class. The sample mean is 5 with a standard deviation of 18. Since the sample size is large, we are able to conduct the T-Test. The T-test statistic is approximately 1.96 with a P-value of approximately 0.028. What can we conclude
The conclusion is that since the value of 0.028 is less than 0.05 so we reject the null hypothesis at 5% level of significance and conclude that the mean of the difference in SAT writing scores for all students who take SAT prep class is equal to 0.
What is a null hypothesis?A null hypothesis is a hypothesis that there is no significant difference between specified populations, any observed difference being due to sampling error.
Here, the effect of a one-day SAT prep class at a 5% level of significance was assessed. Since the value of 0.028 is less than 0.05 so we reject the null hypothesis at 5% level of significance and conclude that the mean of the difference in SAT writing scores for all students who take SAT prep class is equal to 0.
Learn more about hypothesis on:
https://brainly.com/question/11555274
#SPJ1
How many units is -14 away from 0
Answer:
14
Step-by-step explanation:
|-14|=14
(5)(5)(5)(5)(5)(5) i do not understand what that means or what am i supposed to do
Answer:
Your supposed to multiply 5*5*5*5*5*5 so the answer is 15,625
Solve the inequality.
−13x+10>17
Which inequality represents the solutions to this inequality?
a) x<7x<7
b) x>−21x>−21
c) x<−21x<−21
d) x>7x>7
The solution to inequality is less than the negative of 21. Then the correct option is C.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The inequality is given below.
−(1/3)x + 10 > 17
Then the solution to the inequality will be
−(1/3)x + 10 > 17
−(1/3)x > 17− 10
−(1/3)x > 7
When the sign is changed then the equality sign also changed.
(1/3)x < −7
x < − 21
The value of x is less than the negative of 21.
Thus, the correct option is C.
More about the inequality link is given below.
https://brainly.com/question/19491153
#SPJ1
find the value of y when x=3
y=10-3x
Answer:
y=1
Step-by-step explanation:
In order to solve this problem, you have to substitute 3 in for x. Then you would multiply 3 by 3, which equals 9. Subtract 9 from 10, equals 1.
I included a picture so you can see the work.
Hope this helped!
______________ can hold multiple values within a single variable and is defined by having values between square brackets.
The term that completes the blank and fits the description is an array
How to complete the blank?From the question, we understand that:
The variable term holds multiple valuesIt uses square bracketsit is defined by a single variableThe term that fits the above highlights is array
Hence, the complete statement is:
array can hold multiple values within a single variable and is defined by having values between square brackets.
Read more about arrays at:
https://brainly.com/question/22364342
#SPJ4
Find the value of x in the given figure.
Sum measure of interior angles of traingle is 180° according to this rule ; sum measure of interior angles = (n-2)180 where n is the no. of sides
(3-2)180
=180°
So
[tex]72 + 65 + y= 180 \\ 137 + y= 180 \\ y= 180 - 137 \\ y = 43[/tex]
The sum of an interior and exterior angle equals to 180°
According to this
[tex]y + x = 180 \\ 43 + x = 180 \\ x = 180 - 43 \\ x = 137[/tex]
Hope it helps
Please give brainliest
(8 x 10^5) x (8 x 10^5)
Find the product write your answer in scientific notation
Answer:
6.4 x 10¹¹
Step-by-step explanation:
(8 x 10⁵)(8 x 10⁵) = 6.4 x 10¹¹
What is the solution to this system of equations?
Answer:
C
Step-by-step explanation:
C. x=7, y=5
Germaine measured the height of a plant, H, in centimeters (cm) as a function of days, d, since he planted it in
his yard. The following table shows his data.
d 0 2 4 6 8 10 12
H(d) 8.2 9.6 11.0 12.4 13.8 15.2 16.6
What is the rate of change of the function?
O 1.7 cm per day
O 8.4 cm per day
O 1.4 cm per day
O 0.7 cm per day
The rate of change of the function the height of a plant is gotten as; D: 0.7
How to find the rate of change?To find the rate of change, we will use the formula;
Rate of change = (y2 - y1)/(x2 - x1)
From the given table, we can solve for the rate of change by picking two consecutive points to get;
Rate of change = (9.6 - 8.2)/(2 - 0)
Rate of change = 1.4/2
Rate of change = 0.7
Read more about Rate of Change at; https://brainly.com/question/664324
#SPJ1
can someone please answer this fast! thanks
Answer:
The choice C.
[tex] {x}^{ \frac{5}{2} } [/tex]
Step-by-step explanation:
[tex] \frac{ {x}^{3} }{ \sqrt{x} } = \frac{ {x}^{3} }{ {x}^{ \frac{1}{2} } } = {x}^{3} \times {x}^{ - \frac{1}{2} } \\ = {x}^{3 \times - \frac{1}{2} } = {x}^{ \frac{5}{2} } [/tex]
Or ;
[tex] \frac{ {x}^{3} }{ \sqrt{x} } = {x}^{2} \sqrt{x} = {x}^{2} \times {x}^{ \frac{1}{2} } \\ = {x}^{2 + \frac{1}{2} } = {x}^{ \frac{5}{2} } [/tex]
is this true or false? please help
Answer:
true jufhjjzjsjjajajw
If tan theta = -3/4 and theta is in Quadrant IV, cos2theta =, and tan2theta =
Step-by-step explanation:
please mark me as brainlest
How do I solve for y on this?
(4x-6)° and (x+6y)° are both 90° because they are perpendicular, so:
4x-6= 90
4x= 96
x= 24
x+6y=90
24+6y=90
6y=66
y=11
In a group of friends were to eat 13 candies, there would be 8 candies left. if each friend were to eat 15 candies, all the candies would be gone. how many friends are there?
Answer:
4
Step-by-step explanation:
from 13 to 15 you added two more so you have to do 8 divided by 2 which is 4
Annie choose a red shirt at random. what is the likelihood that the shirt's large, given that it's red?
The likelihood that the shirt is large given that it is red is 14.29%
What is the probability?Probability determines the likelihood that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The likelihood that the shirt is large given that it is red = number of large red shirts / total number of red shirts
5/35 = 14.29%
Please find attached the complete question. To learn more about probability, please check: https://brainly.com/question/13234031
#SPJ1
A quadrilateral is formed by the points a(1, -1), b(0, 3), c(5, 5), and d(6, 1). plot the points and use the distance formula to find the lengths of all 4 sides. what type of quadrilateral is this?
The type of quadrilateral is rectangle.
What is distance formula?
The distance between coordinate P(x1 , y1) and coordinate Q(x2 , y2) is calculated using the distance formula: d = √[(x2 - x1)² + (y2 - y1)²]
Given coordinates: a(1, -1), b(0, 3), c(5, 5), and d(6, 1).
ab= √(0-1)² + (3+1)²
ab= √17
bc= √(5-0)² + (5-3)²
bc= √29
cd= √(6-5)² + (1-5)²
cd= √17
da=√(6-1)² + (1+1)²
da= √29
ac=√(5-1)² + (5+1)²
ac= √16+36
ac= √52
bd =√(6-0)² + (1-3)²
bd= √36+4
bd= √40
Learn more about this concept here:
https://brainly.com/question/12864470
#SPJ1
Answer:
PARALLELOGRAM
Step-by-step explanation:
opposite sides are congruent, but it doesn't have 4 right angles or 4 congruent sides; this means it's a parallelogram (and not a rectangle or rhombus)
Simplify as far as possible without a calculator.
3√7(2√2+4√7)
Answer:
[tex]6 \sqrt{14} + 84[/tex]
Step-by-step explanation:
distribute 3√7 by multiplying to each term In parenthesis
3√7×2√2+3√7×4√7
6√14+12√49
6√14+12(7)
6√14+84
6√14 + 84
or
106.449944321
Step-by-step explanation:
have √7 behave like a variable like x
have √4 behave like a variable like y
3√7(2√2+4√7)
(3√7*2√2)+ (3√7*4√7)
6√14 + (12*7)
6√14 + (84)
6√14 + (6 * 14)