Answer:
a = √109 or 10.44Step-by-step explanation:
To find the hypotenuse we use Pythagoras theorem which is given by
a² = b² + c²
where a is the hypotenuse
So we have
a² = 10² + 3²
a² = 100 + 9
a² = 109
a = √109 or 10.44Hope this helps you
Answer:
10.4
Step-by-step explanation:
can someone please helppp
Answer:
D
Step-by-step explanation:
The range is the values of y the graph covers
The minimum value of y is - 9 and the maximum value is 5, thus
- 9 ≤ y ≤ 5 is the range → D
Answer:
[tex]\boxed{-9\leq y\leq 5}[/tex]
Step-by-step explanation:
The range is the set of possible y values, which are shown on the y-axis.
The minimum value of y on the graph is -9.
The maximum value of y on the graph is 5.
The set of possible output values (y) are equal to or greater than -9 and less than or equal to 5.
The monthly membership fee for a social club is $10.00. A member is charged an additional fee whenever he or she participates in a social event organized by the club. The additional fee for participation is $35.00 per event. For one month, Amanda was charged $115.00. In how many social events did Amanda participate during the month?
The number of social events will be 3.
What is an expression?Numeral variables and operations marked by the signs for addition, subtraction, multiplication, and division are combined in the mathematical equation.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented using mathematical symbols. They can also signify other characteristics of logical grammar, such as the operation order.
Given that a social club's monthly membership cost is $10. Every time a member takes part in a social event that the club hosts, a separate cost is applied. A $35.00 participation fee is charged for each event. Amanda was charged $115.00 for a month.
The number of events will be calculated as follows:-
TC = 10 + 35N
115 = 10 + ( 35 x N)
N = ( 115 - 10 ) / 35
N = 105 / 35 = 3
Therefore, the number of social events will be 3.
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Nicole makes $9.50 per hour working at an electronics company. She plans to buy a hand-held computer, the least expensive of which costs $245.60 and the most expensive of which costs $368.40. Write and solve an inequality describing how long Nicole will have to work to be able to buy a hand-held computer.
Please give me steps on how to solve this problem. THANK YOU.
Answer:
26 ≤ x ≤ 39 where x is # of hours
Step-by-step explanation:
If we call the number of hours she works x, Nicole will have made 9.50x after x hours. Therefore, we can write the following compound inequality:
245.60 ≤ 9.50x ≤ 368.40 (Note that we use ≤ instead of <; "at least/most" is denoted by ≤ or ≥)
Dividing the entire inequality by 9.50 (to get rid of the coefficient on x, we get about 26 ≤ x ≤ 39. We round up to the nearest integer because you can't really have, say, 25.69 hours in this context, you would have 26.
Use Descartes' Rule of Signs to find the number of possible positive real roots and the number of possible negative real roots for the function f(x) = x^4+ 2x^3-3x^2- 8x - 4.
a positive 1; negative 3 or 1
b. positive 1; negative 3 or 5
C. positive 3; negative 3 or 1
d. positive 3; negative 3 or 5
Answer:
a positive 1; negative 3 or 1
Step-by-step explanation:
To determine the number of positive roots, we have to determine the number of sign changes for f(x) = x⁴ + 2x³ - 3x² - 8x - 4.
The coefficients in f(x) are +1, +2, -3, -8, -4.
Since there is only one sign change from +2 to -3, we have 1 positive root.
To determine the number of negative roots, we have to determine the number of sign changes for f(-x) = (-x)⁴ + 2(-x)³ - 3(-x)² - 8(-x) - 4 = x⁴ - 2x³ - 3x² + 8x - 4
The coefficients in f(-x) are +1, -2, -3, +8, -4.
Since there is three sign change from +1 to -2, from -3 to +8, and from +8 to -4. So,we have 3 or 1 negative root, since the number of negative roots is equal to the number of sign changes or an even number less than the number of sign changes. So, 3 -2 = 1
So, the number roots are of positive 1; negative 3 or 1
Answer:
a.positive 1; negative 3 or 1
Step-by-step explanation:
EDGE 2020
63 students choose to attend one of three after school activities: football, tennis or running. There are 38 boys. 20 students choose football, of which 19 are girls. 19 students choose tennis. 5 girls choose running. A student is selected at random. What is the probability this student chose running? Give your answer in its simplest form.
Answer:8/21
Step-by-step explanation:
cba to write it down
The probability of a student choosing running is 4/63.
Given that,
Total number of students = 63
Number of boys = 38
Number of girls = 63 - 38 = 25
Number of students who chose football = 20
Number of girls who chose football = 19
Number of students who chose tennis = 19
Number of girls who chose running = 5
To find the probability of a student choosing running,
We need to know the total number of students who chose running.
From the given information,
We know that the number of students who did not choose running is:
Number of students who chose football = 20
Number of students who chose tennis = 19
Number of girls who did not choose running = 25 - 5 = 20
Therefore, the total number of students who chose running is:
Total number of students - Number of students who did not choose running
= 63 - (20 + 19 + 20) = 4
So, the probability of a student choosing running is:
Number of students who chose running / Total number of students
= 4 / 63
Therefore, the probability that a student selected at random chose running is 4/63
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how carbon dioxide enter a leaf during photosynthesis
Carbon dioxide enter leaves through a small pore (opening) called the stomata. Gases enter and exit through stoma (plural of stomata)
In cellular respiration oxygen leaves the leaf through the stoma too
the length of each side of the ABCD EFGH cube is 6cm. If point P is located in the middle of line EH, point Q is in the middle of line EF, and point R is in the middle of line AE, determine the distance of point E to the PQR plane
Answer:
The distance is: [tex]\sqrt3\ cm\approx1,73\,cm[/tex]
Step-by-step explanation:
The distance of point E to the PQR plane it is the hight (vertical) of piramid PRQE
If point P is located in the middle of line EH, point Q is in the middle of line EF, and point R is in the middle of line AE than:
EP = EQ = ER = 0.5EF = 3 cm and m∠REQ = m∠QEP = m∠REP = 90° so triangles RQE, QPE and PRE are congruent.
RQ = QP = PR so triangle PQR is equilateral and from Pythagorean theorem (for ΔRQE):
[tex]RQ^2=ER^2+EQ^2=3^2+3^2=2\cdot3^2\ \ \implies\ \ RQ=3\sqrt2[/tex]
Then: [tex]RN=\dfrac{RQ\,\sqrt3}2[/tex]
and: [tex]RK=\dfrac23RN=\dfrac{RQ\,\sqrt3}3=\dfrac{3\sqrt2\cdot\,\sqrt3}3=\sqrt6[/tex]
Therefore from Pythagorean theorem (for ΔERK):
[tex]EK^2+RK^2=ER^2\\\\EK^2=ER^2-RK^2\\\\EK^2=3^2-(\sqrt6)^2\\\\EK^2=9-6=3\\\\EK=\sqrt3\ cm\approx1,73\,cm[/tex]
You have just timed a person doing a hair cut for the first time. It took 50 minutes. What unit improvement factor learning curve would you use if the person took 35 minutes on the second hair cut?
A. 35 percent
B. 50 percent
C. 70 percent
D. 75 percent
E. 80 percent
Answer: C. 70 percent
Step-by-step explanation:
Given, Time for the first unit = 50 minutes
Time for the second unit = 35 minutes
The unit improvement factor learning curve = (The time for the second unit) ÷ (time for the first unit) x 100.
So, The unit improvement factor learning curve = 35÷ 50 × 100 = 70 percent.
Hence, the correct option is "C. 70 percent".
Solve the system of equations algebraically. Verify your answer using the graph. y = 4x – 5 y = –3
Answer:
(1/2, -3)
Step-by-step explanation:
We have the following equations:
y = 4 * x - 5
y = –3
To solve algebraically, we must replace one equation in another, and we are left with:
-3 = 4 * x - 5
4 * x = 5 - 3
x = 2/4
x = 1/2
Therefore the solution is (1/2, -3)
Now, when we graph both equations, the solution would be the intercept between both graphs, attached corresponding image, the solution would be the same (1/2, -3)
A rectangle has a width of x centimeters and a length 10 centimeters longer than the width. If the total perimeter is 220 centimeters, what is the measure of the length?
Answer:
60cmStep-by-step explanation:
Given the width of a rectangle W = x centimeters
If the length is 10 centimeters longer than the width, then L = (10 + x)cm
Perimeter of the rectangle = 220 cm
To calculate the length, we need to first calculate the value of x. Using he formula for calculating the perimeter of a rectangle to get x;
Perimeter P = 2(L+W)
Substituting the value of the length and the width, we will have;
P = 2(10+x+x)
220 = 2(10+2x)
Dividing both sides by 2;
220/2 = 2(10+2x)/2
110 = 10+2x
2x = 110-10
2x = 100
x = 100/2
x = 50cm
Since the length of the rectangle L = 10+x
The length of the rectangle = 10+50 = 60 cm
Hence, the measure of the length is 60 cm
Answer:
60cms
Step-by-step explanation:
TRUE OF FALSE : -4 <-2
Answer: false but not sure
ASAP PLEASE IM BEHINF AND NEED TO SUMBIT ALL WORK BY 12!!!!!!!!!
Which number line shows the graph of x 11?
Answer:
see below
Step-by-step explanation:
x ≥11
Since there is an equals sign we have a closed circle at 11
X is greater so the line goes to the left
Answer: The second graph
Step-by-step explanation: X must be greater than 11 and the filled in circle means it could also be 11.
Use the property of equality to solve this equation 4.5x=18
Answer:
x = 4
Step-by-step explanation:
Given
4.5x = 18 ( divide both sides by 4.5 )
x = 4
Answer:
x=4
Step-by-step explanation:
to isolate x, we need to divide both sides by 4.5, and 18/4.5 is equal to 4, so x=4.
Help ASAP !!!!! Which number line represents the solutions to \x + 4) = 2?
+
+
-7 -6 -5 -4 -3 -2 -1
0
1
2
3
+
+
0
1
2
3
-7 -6 -5 -4 -3 -2 -1
1
2
3
-7
-6 -5 -4 -3 -2 -1
+
1
2 3
О
-7 -6 -5 -4 -3 -2 -1 0
Answer:
first option
Step-by-step explanation:
Given
| x + 4 | = 2
The absolute value function always produces a positive value but the expression inside can be positive or negative, thus
x + 4 = 2 ( subtract 4 from both sides )
x = - 2
OR
- (x + 4) = 2, distribute left side
- x - 4 = 2 ( add 4 to both sides )
- x = 6 ( multiply both sides by - 1 )
x = - 6
Thus solutions are x = - 2, x = - 6
These are represented on the graph by solid blue circles at x = - 2, x = - 6
The first option represents the solution
Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:
y > −4x − 1
y is less than 3 over 2 times x minus 1
Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area. (6 points)
Part B: Is the point (−1, −1) included in the solution area for the system? Justify your answer mathematically. (4 points)
(10 points)
Answer:
Check below
Step-by-step explanation:
Hi there let's graph.
[tex]y>-4x-1\\ y<\frac{3}{2} x-1[/tex]
(Check below)
A) Looking at the pair of inequalities, the solutions is the interval that have the common points that satisfy both inequalities. Look at the graph for the point (6,4) this point satisfy both inequalities.
Plugging in those values (6,4)
[tex]4>-4(6)-1\\4>-25 \\\\[/tex]
Similarly for the second inequality
[tex]4 < 3/2(6)-1\\4<8[/tex]
Since the signal is lesser (<) and greater than (>) the lines are dashed.
B) No. (-1,-1) does not belong to any of those intervals. Check below. By the same procedure above. Check it out algebraically:
-1>4-1
-1>3 False!
And
-1<-3/2-1
-1<-1 False
A line passes through the points (-3,1) and (9,5) and is labeled line d. Construct two lines: A line that is parallel to the line d described above through the point (6,7) and is labeled line g A line that is perpendicular to line g through the point (-3,-3) and is labeled line f. What is the equation for line g?
I really need help with this because I'm struggling
Answer:
The equation of line g is y = x/3 + 5
Step-by-step explanation:
Given that the line d passes through the points (-3, 1) and (9, 5) we have the equation of line d in slope and intercept form., y = m·x + c found as follows;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Where;
(x₁, y₁) = (-3, 1)
(x₂, y₂) = (9, 5)
[tex]Slope, \, m =\dfrac{5-1}{9-(-3)} = \dfrac{4}{12} = \dfrac{1}{3}[/tex]
The line, d, in point-slope form is y - 1 = 1/3(x - (-3))
Which gives;
y - 1 = 1/3·x + 3/3
y = 1/3·x + 1 + 1 = 1/3·x + 2
Given that line g is parallel to line d, we have;
Slope of line g = slope of line d = 1/3
Therefore, the equation of line g passing through point ^6, 7) in point-slope form is y - 7 = 1/3(x - 6) which gives;
y = x/3 - 2 + 7 = x/3 + 5
The equation of line g is y = x/3 + 5
The line f passing through point (-3, -3) is perpendicular to ling g, therefore, the slope = -1/m = -1(1/3) = -3
The point-slope form of the equation is y -(-3) = -3(x - (-3)) which gives;
y + 3 = -3·x - 9
Therefore, the equation of line f is y = -3·x - 9 - 3 = -3·x - 12
The equation of line f is y = -3·x - 12.
Can someone please help me please
Answer:
its C
the increasing part means when y axis is increasing,you can observe it thru that img
What is the measure of B? A = 35 degrees C = Right angle inside triangle
Answer:
55
Step-by-step explanation:
35+90=125
180-125=55
The interior angles of a triangle should always add up to 180 degrees
Answer:
B=55 degrees
Step-by-step explanation:
if the shape is a triangle then the sum of the angles of the triangle is 180
angles :A+B+C=180
35+B+90=180
B=180-125
B=55 degrees
Which one of the following would most likely have a negative linear correlation coefficient? A. the value of a car compared to its age B. the points scored by a basketball player compared to his minutes played C. the height of a woman compared to her age D. the hours of daylight in a city throughout The year
Answer:
B. the points scored by a basketball player compared to his minutes played
Step-by-step explanation:
Sally has 20 coins in her piggy bank, all dimes and quarters. The total amount of money is $3.05 If d = the number of dimes and q = the number of quarters Sally has, one of the linear equations that could be used to model this situations is
Answer:
[tex]d + q = 20[/tex]
[tex]0.25d + 0.10q = 3.05[/tex]
Step-by-step explanation:
Given
Coins = 20
Value = $3.05
Required
Determine the equation that represent this
From the question, we have that
d = the number of dimes
q = the number of quarters
This implies that;
[tex]d + q = 20[/tex]
Also;
[tex]1 d=\$0.25\ \ and\ \\1 q= \$0.10[/tex]---------- Standard unit of conversion;
This implies that
[tex]0.25d + 0.10q = 3.05[/tex]
Hence, the equations are:
[tex]d + q = 20[/tex]
[tex]0.25d + 0.10q = 3.05[/tex]
Please answer this question now
Answer:
541.4 m²
Step-by-step Explanation:
Step 1: find m < V
V = 180 - (50+63) (sum of the angles in ∆)
V = 67
Step 2: find side length of XW using the law of sines
[tex] \frac{XW}{sin(V)} = \frac{XV}{sin(W)} [/tex]
Where,
V = 67°
W = 63°
XV = 37 m
XW
[tex] \frac{XW}{sin(67)} = \frac{37}{sin(63)} [/tex]
Multiply both sides by sin(67) to solve for XW
[tex] \frac{XW}{sin(67)}*sin(67) = \frac{37}{sin(63)}*sin(67) [/tex]
[tex] XW = \frac{37*sin(67)}{sin(63)} [/tex]
[tex] XW = 38.2 m [/tex] (to nearest tenth)
Step 3: find the area using the formula, ½*XW*XV*sin(X)
area = ½*38.2*37*sin(50)
Area = 541.4 m² (rounded to the nearest tenth.
3 connecting lines are shown. Line D F is horizontal. Line D E is about half the length of line D F. Line F E is about one-third of the length of line D F. Which inequality explains why these three segments cannot be used to construct a triangle? EF + FD > DE ED + EF DF EF + FD < DE
Answer:
The triangle inequality states that the sum of the two shortest side lengths must be greater than the largest side length of the triangle. Basically, we need to find if DE + FE > DF. We know that DE = 1/2 DF and FE = 1/3 DF so the inequality becomes 1/2 DF + 1/3 DF > DF which simplifies to 5/6 DF > DF. Since 5/6th of a number will never be greater than itself, the answer is ED + EF < DF.
Answer:
B. ED + EF < DF
Explanation:
May I get brainliest please? :)
what are the x intercepts of the graph of the function below y=x^2-2x-15
Answer:
(5, 0) and (-3, 0)
Step-by-step explanation:
To find the x-intercepts, let's set y = 0.
0 = x² - 2x - 15
0 = (x - 5)(x + 3) -- To factor x² - 2x - 15, we need to find 2 numbers with a sum of -2 and product of -15; these numbers are -5 and 3.
x - 5 = 0 or x + 3 = 0 -- Use ZPP (Zero Product Property)
x = 5, x = -3
Answer:
x = -3 and x = 5.
Step-by-step explanation:
y = x^2 - 2x - 15
y = (x - 5)(x + 3)
The x-intercepts occur when y = 0. In this case, it's when either (x - 5) = 0, or (x + 3) = 0.
x - 5 = 0
x = 5
x + 3 = 0
x = -3
Hope this helps!
Need Help ASAP!!!! thanks
Answer: 35 m3
Step-by-step explanation:
Hi, to answer this question, first we have to calculate the base of the pyramid:
Base area = 1/2x base length x height
Base area = 1/2 x 6 x 5 = 15 m2
Volume of a pyramid = 1/3 x base area x height
Replacing with the values given:
V = 1/3 x 15 x 7 = 35 m3
Feel free to ask for more if needed or if you did not understand something.
The inequality x < 9 or x ≥ 14 can be used to represent the hourly wage, x, of each employee at a store. Which are possible values for x? Select two options. $8 $9 $11 $13 $14
Answer:
The inequality x < 9 or x ≥ 14 can be used to represent the hourly wage, x, of each employee at a store. Which are possible values for x? Select two options.
$8 . YES
$9 . HELL NO
$11 . DEFINITLY NOT
$13 . GET OUTTA HERE
$14 . MMM YES
Step-by-step explanation:
Answer:
A and E or 8, 14
Step-by-step explanation:
What is a co-prime number? Please answer as soon as possible Thank you
Answer:
[tex]\boxed{\mathrm{view \: explanation}}[/tex]
Step-by-step explanation:
Two numbers that only have 1 as a common factor are called co-prime numbers.
Example:
Factors of 3 ⇒ 1, 3
Factors of 4 ⇒ 1, 2, 4
These numbers only have 1 as a common factor. So 3 and 4 are co-prime numbers.
What is the slope of the line in the graph? A.2 B.1/2 C.-2 D.-1/2
Step-by-step explanation:
bhdjdjsjshhdfhfbtvyvyvjdjshdjfy
29 point plus brainiest
The function f(x) = −x2 − 7x + 30 shows the relationship between the vertical distance of a diver from a pool's surface f(x), in feet, and the horizontal distance x, in feet, of a diver from the diving board. What is a zero of f(x), and what does it represent?
x = 10; the diver hits the water 10 feet away horizontally from the board.
x = 3; the diver hits the water 3 feet away horizontally from the board. x = 10; the diver jumps in the pool at 10 feet per second.
x = 3; the diver jumps in the pool at 3 feet per second.
this is your answer..................
Using a number line, find both the intersection and the union of the following intervals: (−3, +∞) and (4, +∞)
Answer:
The intersection of the two intervals = 4, 5, 6,.......+∞ = (4, +∞)
The union of the two intervals = -3, -2, -1, 0, 1, 2, 3, 4, 5,.....,+∞ = (-3, +∞)
Step-by-step explanation:
The given intervals are;
First interval = (-3, +∞)
Second interval = (4, +∞)
Using the number line, we therefore, the first interval includes, -3, -2, -1, 0, 1, 2, 3, 4, 5,.....,+∞
The second interval includes, 4, 5,.....,+∞
Which gives the intersection as 4, 5, 6,.......+∞
The union is the interval that combines the two sets of intervals which is given as follows;
The union of the two intervals = -3, -2, -1, 0, 1, 2, 3, 4, 5,.....,+∞
Find the total area for the regular pyramid.
Answer:
=12pl+B
Step-by-step explanation:
where p represents the perimeter of the base, l the slant height and B the area of the base.
Answer:
4 + 4 sqrt 10
Step-by-step explanation: