Answer:
B.) 7iStep-by-step explanation:
When you take the square root of a negative number such as √(−49) you get an answer of ±7i. The reason is that −49 = −1*49.
Hope this helps!
Answer:
B
Step-by-step explanation:
imaginary number (the number doesn't exist)
all square root has positive number inside the sign, but if the number is negative, we call it imaginary
√-1 = i
so i x i = -1
then
√-49 = √-1 * √49 = i * 7 = 7i
What is the solution to the system of equations?
y = x +3
X=-2
ㅇ(2)
ㅇ(25)
(2
7
13 1
Answer:
the solution is (-2, 1)
Step-by-step explanation:
In the first equation, substitute -2 for x. We get:
y = -2 + 3 = 1
So the solution is (-2, 1)
The solution of system of Equations is x= -2 and y= 1.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We have the Equation:
y= x+ 3
x= -2.
So, putting the values in equation in (1) we get
y = -2 + 3
y = 1.
Thus, the solution is x= -2 and y= 1.
Learn more about equation here:
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solve the equation (x-2)^2/3=9
Answer:
x = 2±3sqrt(3)
Step-by-step explanation:
(x-2)^2/3=9
Multiply each side by 3
(x-2)^2/3 *3=9*3
(x-2)^2=27
Take the square root of each side
sqrt( (x-2)^2)=±sqrt(27)
x-2 = ±3sqrt(3)
Add 2 to each side
x = 2±3sqrt(3)
Stephen is making soup.
He mixes one packet of soup with water to make 6 litres of soup.
Stephen has to make 90 bowls of soup.
He wants to put 0.2 litres of soup into each bowl.
How many packets of soup does Stephen need?
Help this is due today
Answer:
90 / 6 = 15
You need 15 times more of the recipe
1 x 15 = 15 packets in total
15 - 0.2 = 14.8 packets needed
Hope this helps
Step-by-step explanation:
Please answer correctly my answer depends on this
Answer:
x = -3 and x= 3
Step-by-step explanation:
Plz help. I’m trying but I can’t. Figure this one out. Mainly because the equations aren’t lined up accordingly with the variables
Answer:
x = 2
y = 1
z = 3
Step-by-step explanation:
Okay, we know y=z-x.
Let's plug in that y-value into the first equation: x + 2 (z - x) -z =1
Simplify that down to x +2z -2x -z = 1
Equation 1 becomes -x + z = 1
Let's plug it into equation 3 and solve to get: 2x - (z - x) +3z = 12
Equation 3 becomes 3x + 2z = 12
Now let's use system of equations for those two equations we just found
3x + 2z = 12
-2x + 2z = 2 ------> multiplied this by 2 to simplify
subtract, and you 5x = 10, x = 2
Use x = 2 and solve for the other variables using the same method (try this on your own!) to get y = 1 and z = 3
In the interval 0 degrees < x < 360 degrees, find the values of x for which cos x = 0.7252. Give your answers to the nearest degree.
Answer:
115° and 245°
Step-by-step explanation:
Given
cos x = - 0.4226
Since cos x < 0 then x is an angle in the second / third quadrants, thus
x = (0.4226) = 65° ← related acute angle , thus
x = 180° - 65° = 115° ← angle in second quadrant
x = 180° + 65° = 245° ← angle in third quadrant
Answer:
[tex]x=\{44\º, 317\º\}[/tex]
Step-by-step explanation:
The interval given is [tex](0, 360\º) \text{ or } (0, 2\pi)[/tex]
In exercises of this kind I usually use
[tex]\cos \left(x\right)=a\quad \Rightarrow \quad \:x=\arccos \left(a\right)+360\º n, n \in \mathbb{Z}[/tex]
[tex]\quad \:x=\arccos \left( 0.7252\right)+360\º n, n \in \mathbb{Z}[/tex]
And [tex]\arccos \left( 0.7252\right) \approx 43.5^{\circ \:}[/tex]
But once we have the solution for cos in two different quadrants, I mean, Quadrant I and Quadrant IV angle.
To the nearest degree, we have
[tex]x=\{44\º, 317\º\}[/tex]
A sporting goods store receives a shipment of 124 golf bags. The shipment includes two types of bags, full-size and collapsible. The full-size bags cost $38.50 each. The collapsible bags cost $22.50 each. The bill for the shipment was $3430. How much of each type of golf bag should be in the shipment? Show all work and verify your answer (prove that your answer is correct)
The sporting goods store receives the shipment of 124 golf bags in total.
Let us assume that the number of full-sized bags = X
Then the number of collapsible golf bags = 124 - X
Cost of each full sized bags = $38.50
Cost of each collapsible bags = $22.50
Total cost of the 124 bags received by the sporting goods store = $3430
Then
(38.50)X + (124 - X)22.50 = 3430
(38.50X - 22.50X) + 2790 = 3430
16X = 3430 - 2790
16X = 640
X = 640/16
= 40
So the number of full-sized golf bags received = 40
Then the number of collapsible golf bags received = 124 - 40
= 84
Find the perimeter of the shape below: (6 points)
Answer:
create right angled triangles in the white space , four of them.
the red lines will then become your hypotenuse, then use Pythagoras to with out the length.
Find the slope of the line that passes through (-55, -5) and (-21, 32).
Answer:
Slope = 32+5/-21+55
= 37 / 34
Hope this helps
How do you obtain credit
Answer:
1.) GET A SECURED CREDIT CARD
2.) GET A CREDIT-BUILDER LOAN OR A SECURED LOAN
3.) USE A CO-SIGNER
4.) BECOME AN AUTHORIZED USER
5.) GET CREDIT FOR THE BILLS YOU PAY
What happens to the value of the expression \dfrac{3y}{2y} 2y 3y start fraction, 3, y, divided by, 2, y, end fraction as yyy increases?
Answer:
The value of expression remains the same
Step-by-step explanation:
Let the given function be f(y), where
[tex]f(y) = \frac{3y}{2y}[/tex]
Lets put different values of y to finds its effect on the function
f(y) = 3y/2y
Let y = 1
f(1) = 3(1)/2(1) = 3/2
Let y = 2
f(2) = 3(2)/2(2) = 6/4 = 3/2
Let y = 3
f(3) = 3(3)/2(3) = 9/6 = 3/2
Let y = 10
f(4) = 3(10)/2(10) = 30/20 = 3/2
As we can see, no matter whatever value of y we put in the expression, the result is always the same i,e 3/2
Hence,
The value of expression remains the same
Which of the following is not a property of a rhombus? Question 20 options: A) Diagonals are congruent. B) Opposite angles are congruent. C) All sides are congruent. D) Diagonals are perpendicular bisectors of each other.
Answer: A
Step-by-step explanation:
This is because diagonals of a rhombus are perpendicular not congruent, ]
Pependicular means at an angle of 90°
If this helped please mark brainliest
Find the volume ! Thanks
Answer:
Volume of cuboid = length × width × height
length = 20cm
width = 8cm
height = 15cm
Volume = 20cm × 8cm × 15cm
= 2400cm³
Volume of the cuboid is 2400cm²
Hope this helps.
Answer:
2,400cm³
Step-by-step explanation:
FORMULA FOR VOLUME OF A CUBOID= L×B×H
WHERE L IS LENGTH = 20cm
B IS BREADTH = 15cm
H IS HEIGHT=8cm
:• VOLUME= 20cm ×15cm × 8cm
= 2,400cm³
FAST
Cecilia made an envelope to mail a letter. She colored the regular trapezoid flap on the bottom of the envelope blue, as shown. A trapezoid has a base of 9 inches, height of 2 inches, and top side length of 5 inches. What is the area of the blue flap of the envelope? 14 Inches squared 18 Inches squared 45 Inches squared 90 Inches squared
Answer:
The area is 14 inches squared.
Step-by-step explanation:
To find the area of a trapezoid the equation is...
a+b
------ x h (a and b equal the bases)
2
Seeing as we know all of the basses and heights lets plug it into the equation.
9+5
------- x 2
2
Well the 2 and the 2 cancel each other out in this scenario so what we would have to do now is ad 9 and 5 which would get us to 14.
Answer:
14in
Step-by-step explanation:
Please answer this question ASAP
Find the number of 4-digit numbers that contain at least three even digits.
Answer:
2625
Step-by-step explanation:
First let's see all the possible combinations.
(Even=E, Odd= O)
1) EEEO
2) EEOE
3) EOEE
4) OEEE
5) EEEE
Now let's see what E and O possibly could be
E = 0, 2, 4, 5, 6 and 8 (5)
O = 1, 3, 5, 7, 9 (5)
Now we are just simply gonna multiply
1) EEEO = 4*5*5*5
2) EEOE = 4*5*5*5
3) EOEE = 4*5*5*5
4) OEEE = 5*5*5*5
5) EEEE = 4*5*5*5
The even contains a 0, so you can't put 0 in, so (5-1=4), there are only 4 digits for the even.
500 times 4 = 2000
5⁴ = 625
2000+625= 2625
What is the area of the shaded part of the circle that has a diameter of 8 mm? Use 3.14 for
4 mm
8 mm
O 16mm?
O 32mm?
O 34 24 mm
50.24 mm?
Answer: 34.27 sq. mm.
Step-by-step explanation:
Area of a triangle = hb / 2
= 8 x 4 / 2
= 32 / 2 = 16 mm
Area of the circle = πr^2
= π x 4^2
= 50 27 sq. mm.
Area of the shaded part
= 50.27 - 16
= 34.27 sq. mm
Answer: the answer is c, 34.24 mm
Step-by-step explanation: I just did the test
Find the sum of the first 16 terms in an arithmetic series where a1 = 2, and the common difference is d=2. Question 4 options: A) 272 B) 240 C) 360 D) 306
Answer:
A) 272
Step-by-step explanation:
[tex]S_{n}=\frac{n}{2}*[2a + (n-1)d]\\\\s_{16}=\frac{16}{2}[2*2+15*2]\\\\ =8*[4+30]\\\\=8*34\\=272[/tex]
Answer:
272
Step-by-step explanation:
The total delivery charge for delivering 4 pizzas is $9.00. At this same rate, which of the following represents the total delivery charge for delivering 12 pizzas?
Answer:
4 pizzas = $9
1 pizza= $9 ÷ 4
= $2.25
12 pizzas = 12 × $2.25
= $ 27
Match each of the following equations according to there slope and y intercept.
Answer:
using the equation of the line y = mx + b
m= slope
b = y intercept
y= - 1.5x - 4 m = -1.5 b = -4
y = -3x + 4 m = -3 b = 4
y = 3x m = 3 b = 0
y = 1.5x - 7 m = 1.5 b = -7
y = 7 m = 0 b = 7
Hope this helps.
Answer:
y=3x goes with m=3, b=0
y=7 goes with m=0, b=7
y=-3x+4 goes with m=-3, b=4
y=1.5x-7 goes with m=1.5, b=-7
y=-1.5x-4 goes with m=-1.5, b=-4
Step-by-step explanation:
The b represents the y- intercept in a graph (where the line crosses the y axis). The m represents the slope of the line. You can find the slope by taking the rise of the graph and dividing it by the run (rise/run). If you get the numbers in the equation form y=mx+b, then you just take the information they give you out of the equation.
plz help find the equation of the circle
Answer:
[tex](x-2)^2+(y+4)^2=34[/tex]
Step-by-step explanation:
The standard form for the equation of a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex], where h is the x coordinate of the center of the circle, k is the y coordinate, and r is the radius. Since you already know the coordinates of the center of the circle, all you need to do is find the radius. Using the distance formula:
[tex]r=\sqrt{(7-2)^2+(-1-(-4))^2}=\sqrt{5^2+3^2}=\sqrt{25+9}=\sqrt{34}[/tex]
The equation of the circle is therefore:
[tex](x-2)^2+(y+4)^2=34[/tex]
Hope this helps!
100 POINTS
A scatter plot is shown.
A scatter plot is shown with numbers from 1 to 10 at increments of 1 on the x axis and numbers from 0 to 10 at increments of 1 on the y axis. The ordered pairs 0, 2 and 1, 3 and 1, 9 and 1.2, 4 and 1.9, 4 and 2.6, 4.2 and 3, 5 and 4, 5 and 4, 6 and 4.8, 6.1 and 5, 7 and 5, 7.9 and 6.9, 7.1 and 6, 8 and 7, 3.8 and 7, 8.2 and 7, 9.1 and 7.1, 9.8 and 8, 10 and 10, 7.
How many outliers does the graph show?
1
2
3
4
Answer:
The graph shows 2 outliers. The scatter plot consist on a straight pattern. As seen, only 2 points are not within the straight line. We can conclude that only two points are outliers. =
Answer:
2
Step-by-step explanation:
Two points: (1,9) and (10,7)
Which rational expression has a value of 1 when x =-1?
The rational expression that has a value of 1 when x =-1 would be; D 2x²/ (x + 3).
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol.
We need to determine the expression that has a value of 1 when x =-1
Let's consider the rational expression of the option D;
2x²/ (x + 3)
Now substitute the value x = -1 in the given expression
2x²/ (x + 3)
2(-1)²/ (-1 + 3)
= 2/ 2
= 1
Hence, the required rational expression is D 2x²/ (x + 3).
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Help please and thank you
Answer:
73.72 ft Squared
Step-by-step explanation:
First you need to find the area of the rectangle the area of rectangle is 8x10=80. Then You take that 80=3.14x2. then you find the area by dividing it. so...
1.) 80=3.14x2
3.14x2=6.28 80=6.28 (Then you divide 6.28 by 80)
80 80
a ferris wheel goes around once every 20 seconds . How many times will a rider be ag thetop during an 8-minuteride?
A.23
B.24
C.25
D.160
Answer:
The answer is B.
Step-by-step explanation:
There are three 20 second time periods in 1 minute. Three times eight is equal to 24.
You are given the function C(x)=−4x2+4x+3 Find C(−1). Provide your answer below: C(−1)=
Hey there! :)
Answer:
C(-1) = -5.
Step-by-step explanation:
C(x) = -4x² + 4x + 3
Plug in -1 for x to solve for C(-1):
C(-1) = -4(-1)² + 4(-1) + 3
Simplify:
C(-1) = -4 + (-4) + 3
C(-1) = -5
Answer:
C(-1)= -5
Step-by-step explanation:
This question asks us to find C(-1). We know what C(x) is, it is:
[tex]C(x)=-4x^{2} +4x+3[/tex]
Therefore, we must substitute -1 in for every x to find C(-1).
[tex]C(-1)=-4(-1)^{2} +4(-1)+3[/tex]
Now, solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
First, evaluate the exponent.
-1^2=-1*-1=1
[tex]C(-1)=-4(1) +4(-1)+3[/tex]
Next, multiply -4 and 1.
[tex]C(-1)=-4+4(-1)+3[/tex]
Multiply 4 and -1 again.
[tex]C(-1)=-4+ -4 + 3[/tex]
Add the numbers together.
[tex]C(-1)=-8+3[/tex]
[tex]C(-1)=-5[/tex]
A group of students where asked about the number of e-mails they each send that day. The results are: 0, 1, 1, 2, 3, 3, 4, 4, 6, 7, 8, 10, 11, 14, and 15. Which histogram correctly shows the data set?
Answer:
Choice D
Step-by-step explanation:
After writing the data down seperate the values according to the x-axis on the graphs. You will find that 6 people chose between 0 to 3, 4 people chose between 4 to 7, 3 people chose between 8 to 11 and 2 people chose between 12 to 15.
Solve for y. Please show work.
5y^2 - 2 = 3y
Answer:
y = -2/5 or y = 1
Step-by-step explanation:
5y^2 - 2 = 3y
5y^2 - 3y - 2 = 0
(5y + 2)(y - 1)
5y + 2 = 0 or y - 1 = 0
5y = -2 or y = 1
y = -2/5 or y = 1
Answer:
y = -2/5 or y = 1
Step-by-step explanation:
5y²-2 = 3y
Add -3y on both sides
5y²- 3y -2 = 0
Factorize.
(5y + 2)(y-1) = 0
(5y+2) = 0
Subtract 2 on both sides.
5y = -2
Divide 5 into both sides.
y = -2/5
(y - 1) = 0
Add 1 on both sides.
y = 1
A line passes through the points -6,4 and -2,2 which is the equation of the line
Answer:
y = -1/2x + 1
Step-by-step explanation:
Step 1: Find slope
m = (2-4)/(-2+6) = 1/2
Step 2: Find y-intercept
y = -1/2x + b
2 = -1/2(-2) + b
2 = 1 + b
b = 1
Step 3: Write it all together
y = -1/2x + 1
And we have our final answer!
how to solve the equation
Answer:
just try substituting t with the values given . the answer is B