Answer:
d = 9°
Step-by-step explanation:
When the sum of two angles is equal to 90 degrees, they are called complementary angles.
soln
27° + (8d – 9)° = 90°
27° + 8d – 9° = 90°
27°–9° + 8d = 90°
18° + 8d = 90°
8d = 90° – 18°
8d = 72°
divide both sides by (8)
d = 9°
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Which equation is true?
Answer:
B
Step-by-step explanation:
Answer choice B would equal -3/4
Please help me out I really need this answer please please
Answer:
A. Imaginary Square is 1 so ye ignore
Let point A be (2,7) and point B be (-6,-3). What point is on the segment connecting A and B such that the distance from the point to B is 4 times the distance from the point to A?
Answer:
The point on the segment connecting A and B that is 4 times as far from B as it is from A is (-8, 8).
Answer:
or the distance to be 4 times the distance from B as A the segment must be divided into (4+1) = 5 segments
so we want the point that is 1/5 of the way from A to B
x from A to B is 2 to - 6 = -8 units 1/5 * -8 + 2 = 0.4
y from A to B is 7 to -3 = -10 units 1/5 * -10 + 7 = 5
C
10x + 12 = 2(5x+6)
WITH SOLUTION
Answer:
0
Step-by-step explanation:
10x + 12 = 2(5x+6)
or, 10x + 12 = 10x + 12
or, 10x - 10x = 12 - 12
or, 0 = 0
.
. . so, 0 is the answer.
Step-by-step explanation:
1st : distribute10x + 12 = 2(5x + 6)
10x + 12 = 10x + 12
2nd : subtract 12 from both sides10x + 12 = 10x + 12
10x + 12 - 12 = 10x + 12 - 12
3rd : simplify subtract the numbers 10x = 10x4: subtract 10x from both sides10x = 10x
10x - 10x = 10x - 10x
5: simplify combine like terms 0 = 0____________________________________________
hope it helps uh..!! ♥️Find the total snowfall for this year if it snowed 1/10 inch in November, 2 1/5 inches in December and 1 3/4 inches in January.
Answer: Just add them up. 5 1/20
Step-by-step explanation:
1+1+2=4. For the fractions, find the LCM. The LCM is 20 so you make all the fractions denominator 20. 2/20, 4/20, 15/20. Now you get 5 1/20 in the end
What kind of transformation converts the graph of f(x)= – 7|x|+7 into the graph of g(x)=7|x|–7?
The transformation from f(x) = -7|x| + 7 to g(x) = 7|x|- 7 is-
The graph of f(x) has been moved 14 units down. Then it is rotated upwards to get the graph of g(x)
What is rotation?
The mathematical transformation which turns a geometrical figure about a fixed point is called rotation. The fixed point is called center of rotation.
f(x)= –7|x|+7
g(x) = 7|x|- 7
At first the graph of f(x) has been moved 14 units down. Then it is rotated upwards to get the graph of g(x)
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HELP MEE !! 45 points!!
Solve. What is “u” in the inequality? –11 < 6u+ 4u
Answer:
u > -11/10
Step-by-step explanation:
What is the value of f(x) = 1/2x + 5 when x = 4?
Answer:
f(x)=7
Step-by-step explanation:
f(x)= 1/2x+5 ; x=4
f(4)= 1/2(4)+5
f(4)= 2+5
f(x)=7
Hope this helps, because I just did this lesson and I was confused at first, but with practice you will get it!
The table shows the dates, times, and high and low tide heights.
Cresap Bay Tide Table
Date
Time
Low/high tide
Thursday, Feb. 7
1:26 a. M.
2. 6 ft (low)
7:26 a. M.
6. 4 ft (high)
2:29 p. M.
–0. 8 ft (low)
9:21 p. M.
4. 8 ft (high)
Friday, Feb. 8
2:24 a. M.
1. 5 ft (low)
8:22 a. M.
6. 5 ft (high)
3:16 p. M.
–1. 6 ft (low)
10:02 p. M.
5. 1 ft (high)
Which list shows the low tides from lowest to highest?
a–1. 6, –0. 8, 1. 5, 2. 6
b–0. 8, –1. 6, 1. 5, 2. 6
c–0. 8, 1. 5, –1. 6, 2. 6
d2. 6, 1. 5, –0. 8, –1. 6
The list that shows the low tides from lowest to highest is -1.6 < -0.8 < 1.58 < 2.6 and this can be determined by using the given data.
The correct option is A).
Given,
In the question:
The table shows the dates, times, and high and low tide heights.
Now, According to the question:
The following steps can be used in order to determine the list that shows the low tides from lowest to highest:
Step 1 - According to the given table, the low tide on Thursday, Feb 7 at 1;26 am is 2.6 ft.
Step 2 - According to the given table, the low tide on Thursday, Feb 7 at 2:29 pm is -0.8 ft.
Step 3 - According to the given table, the low tide on Friday, Feb 8 at 2:24 am is 1.5 ft.
Step 4 - According to the given table, the low tide on Friday, Feb 8 at 3:16 pm is -1.6 ft.
Step 5 - Arrange the data of low tides given in the above steps in increasing order:
-1.6 < -0.8 < 1.58 < 2.6
The correct option is A).
Hence, The list that shows the low tides from lowest to highest is -1.6 < -0.8 < 1.58 < 2.6 and this can be determined by using the given data.
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Larry and Peggy are making decisions about their bank accounts. Larry wants to deposit $350 as a principal amount, with an interest of 4% compounded quarterly. Peggy wants to deposit $350 as the principal amount, with an interest of 6% compounded monthly. Explain which method results in more money after 2 years. Show all work.
Peggy's method will make more money.
What is compound interest?Compound interest is the sum of interest on principal and interest on interest of previous period.
Given, that principal is same in both cases,
Also, Peggy will get total interest = 2×6 = 12%.
Whereas, Larry will get 1 % per quarter compounded quarterly.
Therefore, Larry will get (101/100)⁸%.
Hence, 12 > (101/100)^8 and Simple interest method will make more money.
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I need help with my homework
Answer:
60
Step-by-step explanation1
135 = 2x+15 => corresponding angles
2x= 135-15
2x= 120
x= 60
If the constant of Proportionality between X and Y is 2.5, Which equation represents their relationship
A) Y= 2.5X
B)2Y=5X
C)5Y=2X
D)Y=X divided by 2.5
Y= 2.5x equation represent their relationship .
What is equation?An equation is a formula that is express the equality of two expressions ,by the connecting them with the equal sign .
The process of equting one thing with another is called the equation of science with objective .
The equation is representing direct proportion is, by the connecting them with in the equal sign.
y = kx ← k is the constant of proportion
Here k = 2.5 , thus
y = 2.5x ← equation of proportion.
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Select the equation of a line with a slope of 5 that passes through the point (2, –3).
Multiple choice question.
cross out
A)
y=5x – 13
cross out
B)
y=5x – 3
cross out
C)
y=5x+7
cross out
D)
y=5x+2
Answer: A) y = 5x – 13
Step-by-step explanation:
The equation is y=mx + b
We know the slope is 5 and the y-intercept is at ( 0, -13)
So our equation is y = 5x - 13
So, the answer is A
there are 10 students in the class. two th them should be selected as the best students in the class. how many different ways can be done
There are 45 different ways in which two of them can be selected as the best students in the class.
A combination in mathematics is a choice made from a group of separate elements where the order of the selection is irrelevant (unlike permutations).
A k-combination of a set S is officially defined as a subset of S's k unique elements.
Total number of students = 10
Number of students to be selected = 2
No. of ways = 10C2
= (10*9)/2
= 5*9
= 45
Hence, there are 45 different ways in which two of them can be selected as the best students in the class.
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A full box of cereal contains 12 1/2 cups. Each morning for breakfast Jules eats a serving of cereal that is 1 1/2 cups size. How many servings are in a full box of cereal?
Number of servings that are in a full box of cereal is 8.33 servings
Total quantity of cereal contains in the box = [tex]12\frac{1}{2}[/tex] cups
Convert the mixed fraction to simple fraction
[tex]12\frac{1}{2}[/tex] cups = 25/2 cups
Total quantity of cereal eats in each serving = [tex]1\frac{1}{2}[/tex] cups
Convert the mixed fraction to simple fraction
[tex]1\frac{1}{2}[/tex] cups = 3/2 cups
Number of servings in a full box of cereal = Total quantity of cereal contains in the box ÷ Total quantity of cereal eats in each serving
Here we have to use the division
Substitute the values in the equation
Number of servings in a full box of cereal = 25/2 ÷ 3/2
= 25/2 × 2/3
= 25/3
= 8.33
Therefore, a full box contains 8.33 servings
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need help please help me
Using the slope-intercept form, the slope, y-intercept and equation of the graph are -1/7, 5 and y = -1/7x + 5 respectively
Equation of Straight LineThe general equation of straight line is given in slope-intercept form as
y = mx + c.
In the graph given, the function is a straight line with slope and y-intercept.
Taking two points from the graph.
A= (5, 0)B = (-2, 1)The slope of the equation can be calculated using the points
slope (m) = y₂ - y₁ / x₂ - x₁
m = 1 - 0 / -2 - 5
m = 1 / -7
The slope is -1/7
From the graph, we can see the point in which the line passes through the y - axis and it is known as the y - intercept.
The y - intercept on this graph is 5
The slope- intercept form can be written as
y = -1/7x + 5
a) When x = -1, y = ?
y = -1/7x + 5
y = -1/7(-1) + 5
y = 1/7 + 5
y = 36/7
b) When y = 7, x = ?
y = -1/7x + 5
7 = -1/7x + 5
x = -14
c) The y - intercept of the graph is 5
d) The x-intercept of the graph is at -2.2
e) The slope of the line is -1/7
f) The equation of the line is given as y = -1/7x + 5
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a car is traveling at 50 mph due south at a point 1 mile north of an intersection. a police car is traveling at 40 mph due west at a point 1 mile east of the same intersection. at that instant, the radar in the police car measures the rate at which the distance between the two cars is changing. what does the radar gun register?
If a car is traveling at 50 mph due south at a point 1 mile north of an intersection. the radar gun register at -62.6 mph.
What is distance?Distance can be defined as how far an object is from another object.
Distance of the first car north of the intersection point =y
Distance of the police car west of the intersection =x
Distance between the cars =s
s² =x² +y²
x=1.4 miles or 0.25 miles
y =1/2 miles or 0.50 miles
Pythagoreans theorem
Distance between cars
s =√x²+y²
s=√(0.25 miles)² +(0.50 miles)²
s =0.559 miles
Hence,
ds/dt = [0.25 miles/ 0.559 miles (-40 mph)] + [0.50 miles/0.559 miles (-50 mph)
ds/dt = -17.89 + -44.7
ds/dt = - 62.59mph
ds/dt =- 62.6 mph (Approximately)
Therefore the distance is 62.6 mph.
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Tyler eat 6 crackers for a snack each weekday. On Friday, he drops 3 and only eats 3. What is the total number of crackers Tyler eats during the week?
Answer: 39 crackers
Step-by-step explanation:
There are seven days a week
Only Friday, he eats half, so 6 left
6 times 6 = 36
36+ 3= 39
The figure shows the location of three points around a lake. The length of the lake, BC, is also shown.
(The figure is not drawn to scale.)
A picture of a right triangle ABC with right angle at B is shown. The length of the side AC is labeled as 6 miles. The length BC of the triangle is labeled as 4 miles. This length BC is also the length of an irregular gray shaded shape.
Which of the following choices is closest to the distance (in miles) between points A and B? (5 points)
Question 7 options:
1)
3.16 miles
2)
3.46 miles
3)
4.47 miles
4)
4.90 miles
Answer:
3) 4.47 miles
Step-by-step explanation:
AC is the the hypotenuse
so, 6*6 = 36, and 4*4 = 16
36-16=20
square root of 20 is 4.472135...
so, 4.47
The ratio r:h is 5:8 and the ratio h:u is 4:7. Work out the ratio r:h:u in its simplest form
The simplest form of the ratio r:h:u is 5 : 8 : 14.
What is the ratio?
A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a dish of the fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. The ratio of oranges to the overall amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8.
We have,
r : h = 5 : 8 .........(i)
h : u = 4:7 ........(ii)
Multiplying the (i) and (ii) by numbers that will make 'h' have the same value in the ratios
Multiplying (i) by 1
(r : h)*1 = (5 : 8)*1
= r : h = 5 : 8
Multiplying (ii) by 2
(h : u)*2 = (4:7) *2
= 8 : 14
the ratio r : h : u in the simplest form = 5 : 8 : 14.
Hence, the simplest form of the ratio r:h:u is 5 : 8 : 14.
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a candidate for political office wants to determine if there is a difference in his popularity between men and women. to test the claim of this difference, he conducts a survey of voters. the sample contains 250 men and 250 women, of which 44% of the men and 52% of the women favor his candidacy. do these values indicate a difference in popularity? use a 0.01 significance level.
Yes, these values indicate a difference in popularity. Using a 0.01 significance level, the p-value for this test is 0.0018, which is less than the significance level.
This means that there is statistical evidence to support the claim that there is a difference in the candidate's popularity between men and women.
1. The candidate has a population of voters that he wishes to test to see if there is a difference in his popularity between men and women.
2. He conducts a survey of 250 men and 250 women, 44% of the men favoring his candidacy and 52% of the women favoring his candidacy.
3. To determine if there is a significant difference between the two samples, we first calculate the difference in proportions between the two groups:
52% - 44% = 8%.
4. We then use a 0.01 significance level to conduct a two-tailed z-test for proportions to determine if there is a statistically significant difference between the two groups.
5. The p-value for this test is 0.0018, which is less than the significance level of 0.01.
6. This means that there is statistical evidence to support the claim that there is a difference in the candidate's popularity between men and women.
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How would I solve this equation?
[tex]\sqrt{x}({x}+{1})=0[/tex]
Convert 7π/21 to degrees.
Converting 7π/21 to degrees will be 60°.
How to illustrate the expression?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.
A plane angle is measured in degrees, with the letter ° typically used to indicate that one full rotation is equal to 360 degrees. Although it is not a SI unit—the radian is the SI unit of angular measure—it is mentioned as an accepted unit in the SI brochure.
Angles are measured in terms of radians. Angles are measured using the degree and radian units. In calculus and the majority of other branches of mathematics, angles are typically or generally measured in radians.
It should be noted that in order to convert radians yo degrees, you've to multiply by 180/π since a full circle is 360°.
This will be illustrated as:
= 7π / 21 × 180 / π
= 7/21 × 180
= 60°
The value is 60°.
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Which ordered pair is a solution to the linear inequality below?
x+4y less than 4
A. -3,5
B. 0,4
C. 2,3
D. -8,-2
The solution to the given inequality that is x+4y<4 is (-8,-2) as it only gives the correct result for the equation.
What is inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other. The equation-like form of the formula 5x 4 > 2x + 3 has an arrowhead in place of the equals sign. It is an illustration of inequity. This shows that the left part, 5x 4, is bigger than the right part, 2x + 3. An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.
Here,
x+4y<4
(-8,-2)
-8+4*-2=-16<4
The provided inequality, x+4y4, has a solution of (-8,-2) because it alone provides the solution to the equation.
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a bank gives interest at a rate of 3.5% each year. If you start an account at the bank with 3500 SWEDISH krona, how much money will you have in the account after a year
Answer:
$3624.48
Step-by-step explanation:
This is a bank interest formula that is -> P(1 +/- r/n)^rt
3500(1 + 0.035/12)^12*1
The answer is 3624.48
Given: ΔPQR ≅ ΔPNM
What is the measure of PM?
Responses
A - b
B - c
C - a
D not enough information
Answer:
A
Step-by-step explanation:
since the triangles are congruent then corresponding sides are congruent.
Δ PQR congruent to Δ PNM
PR and PM are corresponding sides , then
PM = PR = b
Diego opened a savings account with $20 to start before he started earning $10 for every hour of babysitting. Is there a proportional relationship between time and amount saved for Diego?
Answer: No, it is not proportional.
Explanation:
We can see that Diego opened an account with $20, meaning that there is going to be a y-intercept of 20 in a graph. Therefore, with a y-intercept of 20 and not zero, we can say that there is not a proportional relationship between and time and amount saved for Diego.
A cyclist rode 3.75 miles in 0.3 hours
A. how fast was she going in miles per hour?
B. At that rate, how long will it take her to go 4.5 miles?
The cyclist takes 0.36 hours to travel 4.5 miles.
What is distance?The actual length covered by the body is defined as distance travelled, whereas displacement is the straight path between the initial and final points.The imperial and customary systems use the unit miles per hour (symbol: mph) to measure speed. It represents the number of statute miles traveled in one hour.Here given that,
The distance travelled by the cyclist 3.75 miles.
Time = 0.3 hour
Distance / Time = Speed
By substituting,
3.75 / 0.3
= 12.5 miles per hour is the speed.
2) Distance = 4.5 miles, speed = 12.5 miles per hour.
Distance / Speed = Time
Time = 4.5 / 12.5
=0.36 hours
Therefore it takes 0.36 hours to travel 4.5 miles.
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identify the type of data that would be used to describe percent of body fat what is an example of the data
As per the requirement of body fat measurement, we measure the body fat in continuous data type.
What is continuous data type?Measureable data is referred to as continuous data. The values in this data are not constant and can take on an endless number of different forms. You can also divide these measures up into smaller, independent components.
What is the advantage of continuous data over discrete data?Since it may employ decimal points and have infinite values, it is more precise and comprehensive than discrete data.
The type of data that would be used to describe percent of body fat is continuous data. An example of the continuous data type is Height of a person.
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The table below shows the temperature, in degrees Fahrenheit, in Boston, Massachusetts, over a 10-hour interval
Time
A
B
C
D
1 am to 5 a.m.
5 a.m. to 7 a.m.
7 am to 10 a.m.
1am.
10 am to 11 a.m.
29° F
5am
Temperature (Fahrenheit)
Over which interval does the temperature have the greatest average rate of change?
20° F
7 am
18 F
10 a.m.
25° F
11am.
28 F
Answer:i don’t know
Step-by-step explanation: