Answer:
3x-21
Step-by-step explanation:
3*x+3*(-7)=3x-21
Solve the equation by completing the square: z^2 - 2z = 323
a. -17, 19
b. -17, -19
c. 17, -19
d. 17, 19
Answer: A. -17 , 19
Step-by-step explanation:
Move all terms to one side.
z^2-2z-323=0
z^2 −2z−323=0
Factor : z^2-2z-323
z^2−2z−323.
(z-19)(z+17)=0(z−19)(z+17)=0
Solve for z.
z=19,−17
4 strips of paneling 40cm long and 4cm wide are arranged to form a square. What is the area of the inner square in cm
The area of the square will be 640 sq cm.
Step-by-step explanation:
Given,
Number of strip = 4
Length (l) of each strip = 40 cm
Width (b) of each strip = 4 cm
To find the area of the inner square.
Formula
The area of rectangle = l×b
If the area of a square is A, each side will be √A
Now,
Area of each strip = 40×4 sq cm = 160 sq cm
Area of 4 strips = 160×4 sq cm = 640 sq cm
Hence,
The area of the square will be 640 sq cm.
The sum of the angle measures in a 50-gon is
Answer:
Interior: 8640°
Exterior: 360° (Every shapes' exterior angle sum is 360°)
Step-by-step explanation:
Formula: 180(Sides - 2)
180(50-2) = 180(48) = 8640
The diagram below shows scalene triangle WXY. The measure of ZWXY is 710
Answer:
[tex]m\angle WYX=46^o[/tex]
[tex]m\angle YWX=63^o[/tex]
Step-by-step explanation:
The complete question in the attached figure
we know that
A scalene triangle has three different interior angles and three different length sides
In this problem
[tex]m\angle WYX=46^o[/tex] ----> by vertical angles
[tex]m\angle WXY=71^o[/tex] ----> is given
Find the measure of the third angle ∠YWX
Remember that the sum of the interior angles in any triangle must be equal to 180 degrees
so
[tex]46^o+71^o+m\angle YWX=180^o[/tex]
[tex]m\angle YWX=180^o-117^o=63^o[/tex]
Verify each statement
1) [tex]m\angle WYX=46^o[/tex] ---> is true (see explanation)
2) [tex]m\angle YWX=63^o[/tex] ---> is true (see explanation)
3) [tex]m\angle WXY=46^o[/tex] ---> is not true because ∠WXY is given and is 71 degrees
4) [tex]m\angle YWX=46^o[/tex] ---> is not true because [tex]m\angle YWX=63^o[/tex]
5) [tex]m\angle WYX=134^o[/tex] --> is not true because [tex]m\angle WYX=46^o[/tex]
The question seems to contain an error - a triangle's angles cannot sum to more than 180 degrees. Assuming the triangle issue is corrected, principles like the Triangle Sum Theorem, and laws of sines and cosines would be applied to solve it.
Explanation:The question refers to a diagram depicting scalene triangle WXY, which suggests a problem in geometry, a branch of mathematics. However, the information about the measure of angle ZWXY being 710 degrees seems incorrect since the sum of angles in any triangle cannot exceed 180 degrees. It appears there's a typographical error or a misunderstanding in the transcription of the problem. In a triangle, the measures of the three interior angles always add up to 180 degrees, and no single angle can measure more than 180 degrees because it would no longer be a triangle.
Without a correct diagram or clarification of the angle measures, providing a step-by-step solution to this geometric problem is not feasible. Nonetheless, if the problem was corrected and it involves solving for missing angles or sides of a scalene triangle, one could apply geometry principles and theorems such as the Triangle Sum Theorem, the Law of Sines, and the Law of Cosines depending on the given information.
Which statement is true?
N is a point of tangency on circle P.
PT is a secant of circle P.
Line S R is a secant of circle P.
VU is a tangent of circle P.
Answer:
c: line sr is a secant of circle p
Step-by-step explanation:
The true statement is (c) line SR is a secant of circle P
From the diagram, we can see that line SR passes through the circle, without passing through the center (i.e. point P) of the circle
This indicates that line SR is a secant
Given that the center of the circle is point P
Hence, the true statement is (c) line SR is a secant of circle P
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geometric mean between 1/4 and 80 please answer
Answer:
Geometric mean: 6.8399037867068
Step-by-step explanation:
Order the following from greatest to least -12, 12, -19, 1 1/2(BTW this is a mixed number ;-; ) , 5
PLEASE HELP ME!!!!!
Answer:
12, 5, 1 1/2, -12, -19
Step-by-step explanation:
hope this helped!
How does the risk of needing insurance impact the cost of premiums?
A. In some cases, higher risk results in lower costs.
B. Higher risk always results in lower costs.
C. Higher risk always results in higher costs.
D. In some cases, higher risk results in higher costs.
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
because when you go to get health insurance, they never want to have to pay alot. for instance, when you smoke, do risky activities, etc. that ups the risks, making your health insurance cost much more to cover for the costs of the doctors appointments, screenings, and tests that come along with those risks. this is the answer on PLATO. please make me brainliest !
two lines meet at a point that is also the endpoint of two rays. setup and solve the appropriate equations to solve for the values of angles x and y. show the steps you followed to find the unknown angles.
Answer:
x = 19°
y = 53°
Step-by-step explanation:
First we can find the value of x, then the value of y.
For x, we can observe from the figure that x is complementary to the angle of 71°, that is, they both summed have 90°.
So, we have that:
x + 71 = 90
x = 19°
Now we can solve for y.
From the figure we have that y is supplementary to the angle (37° + 71° + x°), that is, they summed form a angle of 180°.
So we have that:
y + 37 + 71 + 19 = 180
y = 180 - 37 - 71 - 19 = 53°
The angles x and y lie on a straight line at the intersection point of two lines and are therefore supplementary. Therefore, they add up to 180 degrees. Without further information, it's impossible to find the exact values of X or Y.
Explanation:Given that two lines intersect at a common point, and this point is also the end point of two rays, we create four angles around the intersecting point. Let's denote the angles formed by the intersecting lines as angle x and angle y. According to the properties of intersecting lines, adjacent angles are supplementary. Therefore, the measures of x and y add up to 180 degrees. We set up the equation as x + y = 180. Without any additional information, we cannot find the specific values of x and y. However, we can say that whatever the value of x is, y will be 180 - x, and vice versa.
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Can someone pls help me
Simplify:
[tex] \frac{21x {}^{6} {y}^{5} }{ {14x}^{2} {y}^{9} }[/tex]
Look at the attached picture ⤴
Hope it will help u...
a²+6²=C²
72+10º=122
Does this work?
Explain
[tex] {10}^{2} + {7}^{2} = {c}^{2} \\ \sqrt{100 + 49} = c \\ c = \sqrt{149} [/tex]
but c=12. 12^2=144
Answer: It isnt a right triangle
Which statements can be represented by this equation? Select three options.
2n-9.2 =n+4/5
Answer:
1, 3, 5
Step-by-step explanation:
Let the number be n
1.Twice a number minus nine and two tenths is the same as the number plus four fifths.
Twice a number is 2n. nine and two tenth = 9.2. Therefore twice a number minus nine and two tenths = 2n - 9.2. the number plus four fifths = n + 4/5
The resulting equation is 2n-9.2 =n+4/5
2.Nine point two decreased by double a number is the same as the number added to four fifths.
Nine point two = 9.2, double a number = 2n. Therefore, Nine point two decreased by double a number is 9.2 - 2n
The resulting equation gives 9.2 - 2n = n + 4/5
3.Nine point two less than twice a number is equal to the number added to four fifths.
Nine point two = 9.2, twice a number = 2n. Therefore Nine point two less than twice a number = 2n - 9.2
The resulting equation is 2n-9.2 =n+4/5
4.Two times the difference of a number and nine and two tenths is equal to the number plus four fifths.
The difference of a number and nine and two tenths is given by n - 9.2. Therefore, Two times the difference of a number and nine and two tenths is 2(n - 9.2).
The resulting equation is 2(n - 9.2) = n + 4/5
5.Double a number decreased by nine and two tenths is the same as the sum of four fifths and the number.
Double a number decreased by nine and two tenths is 2n - 9.2
The resulting equation is 2n-9.2 =n+4/5
Answer:
1 Twice a number minus nine and two-tenths is the same as the number plus four-fifths.
3 Nine point two less than twice a number is equal to the number added to four-fifths.
5 Double a number decreased by nine and two-tenths is the same as the sum of four-fifths and the number.
Step-by-step explanation:
Joseph opens a checking account with $400. each month he adds $150 to the account wright an equation representing the total amount A in the account at the end of any given month M
Answer:
[tex]A=400+150m[/tex]
Step-by-step explanation:
since 'A' is the final amount it acts as the 'y' value, and if it's 150 per month then you would multiply the number of months (m) by 150 plus the 400 that was already there.
Solve the equation
8 + 10 = 14
Answer:
4
Step-by-step explanation:
8+10
= 18
18-14
=4
Answer:
Step-by-step explanation:
8+10=14? 8-10= 2 2+8=10 8+10=18.....This is what I am think....
I am not sure..
the vertices of figure QRST and translation 3 units left and 11 units down to form Q'R'S'T'. Explain the similarities and differences between two figures
Answer:
Similarities: same size, and same orientation
Differences: different location, and different points
Step-by-step explanation:
When your doing a translation, the only thing that changes is the location. For example if you for your pencil, the location changes not size.
Thank you :D
I Hope This Helps You And Stay Safe!
Mr. Morrison and Ms. Johnson are teaching their classes how to write in cursive. Mr. Morrison has already taught his class 12 letters. The students in Ms. Johnson's class, who started the unit later, currently know how to write 7 letters. Mr. Morrison plans to teach his class 2 new letters per week, and Ms. Johnson intends to cover 3 new letters per week. Eventually, the students in both classes will know how to write the same number of letters. How long will that take? How many letters will the students know?
In
weeks, the students in both classes will know how to write
letters in cursive.
A combination lock has 3 dials. The first 2 dials have a setting for digits 0 through 9, and the third has settings for all 26 letters of the alphabet. A combination consists of one setting from each of the dials. How many combinations are possible
Answer:
There is 2600 combinations possible.
Step-by-step explanation:
The combinations for the first lock has 10 combinations
The combinations for the second lock has 10 combinations
The combinations for the third lock has 26 combinations
The total combinations is the product of all the locks.
There is 2600 combinations possible.
Given a+b=7 and a–b=3, find:
3^a/3^b
Answer:
A=-2 and B=3
Step-by-step explanation:
Step 1) Solve the first equation for A:
a+3b=7
a+3b-3b=7-3b
a+0=7-3b
a=7-3b
Step 2) Substitute (7-3b) for a in the second equation and solve for b:
2a=b-7 becomes:
2(7-3b)=b-7
(2*7)-(2*3b)=b-7
14-6b=b-7
14+7-6b+6b=b+6b-7+7
21-0=1b+6b-0
21=(1+6)b
21=7b
7b/7=21/7
=3
a=7-3b becomes:
a=7-(3*3)
a=7-9
a=-2
Answer:
27
Step-by-step explanation:
Find numbers that add up to 7.
0, 1, 2, 3, 4, 5, 6, 7
Which of those could subtract to get 3?
5 and 2
5 - 2 = 3
a = 5
b = 2
3^5 = 243
3^2 = 9
243 / 9 = 27
Tim's piggy bank contains dimes and nickels worth $5.50. He has 70 coins in all. Use substitution to solve the system of equations to find out how many of each coin Tim has.
Tim has a total of 30 nickels and 40 dimes.
What is Linear Equation?Linear equations are the equations which consist of two or more variables having the exponent of the variable equals 1.
Total number of coins in the Tim's piggy bank = 70 coins
Let d be the number of dime coins and n be the number of nickel coins.
So d + n = 70
Total dollars = $5.50
10 dimes = 1 dollar
1 dime = 1/10 dollar = 0.1 dollar
20 nickels = 1 dollar
1 nickel = 1/20 dollar = 0.05 dollar
0.1 d + 0.05 n = 5.50
So we have two linear equations here : d + n = 70 and 0.1 d + 0.05 n = 5.50.
d + n = 70 ⇒ d = 70 - n
Substituting d = 70 - n in the equation 0.1 d + 0.05 n = 5.50,
0.1 (70 - n) + 0.05 n = 5.50
(0.1 × 70) - 0.1n + 0.05n = 5.50
7 - 0.05n = 5.50
-0.05n = -1.5
n = 30
So d = 70 - n = 70 - 30 = 40
Hence the number of nickel coins is 30 and number of dime coins is 40.
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A person walking starts 0 m/s and after 6 seconds is traveling at
5 m/s. What is the acceleration of the walker?
Final answer:
To find the acceleration, we subtract the initial velocity from the final velocity and then divide by the time. For the given values, this results in an acceleration of 0.833 m/s² for the walker.
Explanation:
The student has asked about the acceleration of a person who starts at 0 m/s and reaches 5 m/s in 6 seconds. To find acceleration, we use the formula:
acceleration = (final velocity - initial velocity) / time
Inserting the given values:
acceleration = (5 m/s - 0 m/s) / 6 s = 5/6 m/s²
Therefore, the acceleration of the walker is 0.833 m/s².
What is the arithmetic mean of the following numbers? 3, 5, 6, 2, 9
Answer:
5
Step-by-step explanation:
3+5+6+2+9=25
25/5=5
Answer:
5
Step-by-step explanation:
The mean of a set of numbers is (sum of numbers)/(number of values)
The sum of the values is 3 + 5 + 6 + 2 + 9 = 25
The number of values is 5
25/5 = 5
How many pairs of vertical angles are formed by five distinct lines that have a common point of intersection?
The total number of pairs of vertical angles formed by five distinct lines that have a common point of intersection is: 10 pairs.
To find how many pairs of vertical angles are formed by five distinct lines that all intersect at a common point, we need to understand a few key concepts about vertical angles and intersecting lines.
Intersection Point: When multiple lines intersect at a single point, they form various angles at that point.Vertical Angles Definition: Vertical angles are the angles that are opposite each other when two lines intersect. They are congruent (having the same measure).Pairs of Intersections: Each pair of lines forms a set of vertical angles at the intersection point.Number of Intersecting Pairs: With five distinct lines, any two lines can form an intersection. The number of ways to choose 2 lines out of 5 to intersect can be calculated using the combination formula:
[tex]\binom{n}{2} = \frac{n(n-1)}{2}[/tex]
Where [tex]n[/tex] is 5 in this case.
Calculation: Plugging in the values, we get:
[tex]\binom{5}{2} = \frac{5 \cdot 4}{2} = 10[/tex]
So, there are 10 pairs of intersecting lines.
Vertical Angle Pairs per Intersection: For each of these 10 intersections, there is exactly one pair of vertical angles.
Each intersection of two lines forms one pair of vertical angles, and with 10 intersections, we have 10 pairs of vertical angles.
Find the slope.
A 17
Answer:
C
Step-by-step explanation:
Slope = rise / run
in this case, rise is 17 yd and run is 295 yd.
so its 17/295
Which two problems below does this model represent?
12 x 2
24 ÷ 6
6 x 4
24 x 6
Answer:
6 x 4
24 ÷ 6
Step-by-step explanation:
6 x 4 – There are 6 boxes with 4 stars in each box. When something looks like this, it mean multiplication.
24 ÷ 6 – There are 24 stars in total. Those 24 stars are being divided by 6 boxes. In the end there are 4 stars in each box. (So basically, 24 ÷ 6 = 4)
4x-6 <30
what is the answer?
Hope this will help u....:)
A test has a mean of 65 with standard deviation of 5. What percent of the students would you expect to receive a grade of 55 or more?
a. 2.5%
b. 95%
c. 13.5%
d. 97.5%
e. none of the above
A lawn had a length of 10 feet and a width
of 8 feet. What is the perimeter of the
lawn?
1.80 feet
2. 80 square feet
3. 36 square feet
4. 36 feet
Amber is on a family cell phone plan with the other 3 members of her family. The family gets 840 shared cell phone minutes a month, and each family member is limited to his or her equal share of the minutes. The only free calls are calls between family members.
How many minutes per day can Amber talk on her cell phone with her friends during a 30-day month, without going over her share of the minutes?
Minutes per day can Amber talk on her cell phone with her friends during a 30-day month, without going over her share of the minutes will be 7 minutes
ConceptFirst of all we will find the total minutes per family member will get by dividing the total minutes of cell phone plan to total family memberAfter finding total minutes each family member will get we will divide it by 30 to get how many minutes per day Amber will get to talk on her cell phone with her friend.How to solve this problem?The steps are as follow:
Given, there are total 4 family members including Amber.Also the family gets 840 minutes shared cell phone minutes for a monthTo find total minutes per family member we will using following formula:total minutes per family member = total minutes / number of family member
total minutes per family member = 840 / 4
total minutes per family member = 210 minutes
To find the minutes per day Amber will get we will use following formula:Minutes per day Amber will get = total minutes per family member / total days in month
Minutes per day Amber will get = 210 / 30 = 7 minutes per day
So Amber will get 7 minutes per day to talk on her cell phone with her friends during a 30-day month, without going over her share of the minutes
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What is the momentum of a 1.5-kg ball rolling at 3.0m/s
Answer:
4.5 kg m/s
Step-by-step explanation:
[tex]Momentum = mass \times velocity \\ \hspace{60 pt} = 1.5 \times 3.0 \\\hspace{60 pt} = 4.5 \: kg \: m/s[/tex]
Final answer:
The momentum of a 1.5-kg ball rolling at 3.0 m/s is calculated by multiplying the mass by the velocity, resulting in 4.5 kg*m/s.
Explanation:
The momentum of an object is calculated using the formula momentum (p) = mass (m) * velocity (v). Applying this formula to the given problem, where a 1.5-kg ball is rolling at a speed of 3.0 m/s, the momentum can be found by multiplying the mass of the ball by its velocity.
So, the momentum p is given by:
p = 1.5 kg * 3.0 m/s = 4.5 kg*m/s.
Therefore, the momentum of the 1.5-kg ball rolling at 3.0 m/s is 4.5 kilogram meters per second (4.5 kg*m/s).
V= u + at
u = 2 a = -5 t = 1/2
Work out the value of v.
Answer:
-0.5
Step-by-step explanation:
2+-5x1/2
-5x1/2=-2.5
2+-2.5=-0.5
Answer:
-1/2
Step-by-step explanation:
u=2
a=-5
t=1/2
Using
v=u+at
v= 2+(-5×1/2)
v=2+(-5/2)
v=2-5/2
v= -1/2