Answer:
Step-by-step explanation:
Hi, let me help you out.
First I'm going to turn the verbal phrase into an algebraic phrase...
21+n=37. here n is the unknown number
Next, I believe you need to find what n equals.
This can be done by subtracting 21 from both sides.
n=37-21
n=16
Thus the number we need is 16.
_________________
Hope I helped. Best wishes.
A line that includes the point (0, 6) has a slope of 1/3. What is its equation in slope-intercept
form?
Answer:
y=⅓x+b
Step-by-step explanation:
So basically the formula of slope-intercept is:
y=mx+b
and m=⅓
so
y=⅓x+b and it includes the point (0, 6) so:
6=⅓(0)+b===> b=6===> y=⅓x+6
can someone please help mee
For the graphed function we can see:
domain = set of all real numbersrange = set of all real numbers.How to get the range and domain?For a function y = f(x), the domain is the set of the possible inputs "x" and the range is the set of the possible outputs "y".
In this case, we can see that in the right side we have a parabola, and on the left side a linear equation which increases up to the left (so it has a negative slope).
Then the domain will be the set of all real numbers.
Similar for the range, as we can see that on the left side, the line goes upwards, while on the right side, the parabola goes downwards. So this function has a range of all real numbers.
Then:
domain = set of all real numbers
range = set of all real numbers.
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Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options.
2.3p – 10.1 = 6.4p – 4
2.3p – 10.1 = 6.49p – 4
230p – 1010 = 650p – 400 – p
23p – 101 = 65p – 40 – p
2.3p – 14.1 = 6.4p – 4
An expression is defined as a set of numbers, variables, and mathematical operations.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The expression that is equivalent to 2.3p – 10.1 = 6.5p – 4 – 0.01p are given below,
If the given expression 2.3p – 10.1 = 6.5p – 4 – 0.01 is simplified, then the expression can be written as,
2.3p – 10.1 = 6.5p – 4 – 0.01
2.3p – 10.1 = 6.49p – 4
Thus, Option A is one of the option.
Using the multiplication property of Equality, if we multiply both the sides of the equation by 100, then we will get,
230p – 1010 = 650p – 400 – p
Thus, c is one of the option.
Hence, the correct options are A and C.
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What is the value of x?
Enter your answer in the box.
x =
Answer:
4
Step-by-step explanation:
In triangle JKL, the side opposite the 30 degree angle, JL, is half the length of the hypotenuse, KL. Thus, JL has a length of
[tex]4 \sqrt{2} [/tex]
In triangle JML, the hypotenuse is
[tex] \sqrt{2} [/tex]
times the length of the leg, meaning that x = 4
Which sign should be used for the following equation? 0.452 _______ 0.712 < > ≤ ≥
Answer:
<
Step-by-step explanation:
0.4<0.7
4 is smaller than 7 so the sighn points to 0.7
The slope of the line below is 2. Use the coordinates of the labeled point to
find a point-slope equation of the line.
• (3,10)
) A. y+ 10 = 2(x+ 3)
B. y - 10 = -2(x- 3)
D C. y + 10 = -2(x+3)
D. y - 10 = 2(x - 3)
Answer:
y - 10 = 2(x - 3)
Explanation:
Equation:
y - y₁ = m(x - x₁)
Here given:
coordinates: (x, y) = (3, 10)
x₁ = 3y₁ = 10slope (m) = 2Inserting value's:
y - 10 = 2(x - 3) in point slope form
y = 2x - 6 + 10
y = 2x + 4 in slope-intercept form
Answer:
d) y - 10 = 2(x - 3)
Step-by-step explanation:
Given: a line with a slope of 2, and the point (3, 10)
⇒ Point-Slope Form: y - y₁ = m(x - x₁)
where: m is the slope, and (x₁, y₁) is a given point
Substitute the values into the form:
⇒ y - y₁ = m(x - x₁)
⇒ y - 10 = 2(x - 3)
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Sin (5x-28) = cos (3x - 50)
By using trigonometric identities we can solve the trigonometric equation Sin (5x-28) = cos (3x - 50) for x.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
The question is incomplete.
The complete question is:
Solve for X given that sin(5X - 28)° = cos(3X - 50)°.
We have given:
sin(5X - 28)° = cos(3X - 50)°.
[tex]\rm \sin \left(5x-28\right)=\sin \left(\dfrac{\pi }{2}-\left(3x-50\right)\right)[/tex]
[tex]\rm \left5x-28\right= \left\dfrac{\pi }{2}-\left(3x-50\right)\right[/tex]
[tex]\rm x=\dfrac{4\pi n+156+\pi }{16}[/tex] (n = 0, 1, 2, ...)
[tex]\rm x=\dfrac{\pi +4\pi n-44}{4}[/tex]
Thus, by using trigonometric identities we can solve the trigonometric equation Sin (5x-28) = cos (3x - 50) for x.
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whats the answer for this
Answer:
a) Angle X = 108°
C). Vertically opposite anglesas AD is parallel to EH both the angles are equal
Answer:
108 degrees, vertical angles
Step-by-step explanation:
Angle x is 108 degrees because angle x and angle EFB are vertical angles, meaning that they are equal since opposite angles have the same measures.
Brainliest, please :)
Please help answer this question asap 3/11
The matrix elements are nothing more than the matrix entries. The correct option is B.
What is an element in a matrix?The matrix elements are nothing more than the matrix entries. They can be integers, variables, mathematical formulas, or any other type of character included within the matrix.
The value of a₁₄ is the value of the element of the given matrix, where 1 represents the row and 4 represents the column. Therefore, the value of a₁₄ is the element of the first row and the fourth column, which means the value of a₁₄ is 5.
Hence, the correct option is B.
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What is the mean absolute deviation of Patrick’s scores? Show your work
PLEASE HELP ASAP
The value of "y" varies directly with "x" and
y=-8 when x = 20.
Find "y" if x = -4.
Enter the number that belongs in the green box.
Reduce to simplest form.
y = 2
Answer:
Just think of which number, when you multiply it with 20 will give you -8
and then you multiply that number with -4 to get y. Hope it helps!
Sam calculated (2.6 × 10 -2 )(1.5 × 10 -4 ) in his calculator. Which of the following results could be displayed on the calculator screen? Select all that apply.
3,900,000
0.0000039
3.9E6
3.9 × 10 -6
3.9E-6
The results that could be displayed are 3.9 ×10⁻⁶, 3.9 E-6 OR 0.0000039
Evaluating an expressionFrom the question, we are to determine the results that could be displayed on the calculator screen
The given expression is
(2.6 × 10⁻²)(1.5 × 10⁻⁴)
= 2.6 × 1.5 × 10⁻²× 10⁻⁴
= 3.9 ×10⁻²⁺⁻⁴
= 3.9 ×10⁻²⁻⁴
= 3.9 ×10⁻⁶
= 3.9 E-6 OR 0.0000039
Hence, the results that could be displayed are 3.9 ×10⁻⁶, 3.9 E-6 OR 0.0000039
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What is a name for the marked angle?
Answer:
angle CAD
Step-by-step explanation:
look at the 3 points that make up the angle
Venn diagrams in maths
Answer:
Step-by-step explanation:
Select the correct answer.
Consider the function represented in this table.
X
f(x)
-1
-21
0
-9
1
3
2
15
Which of these tables could represent the inverse of function f? Ahh
pls help with age problem.
Answer:
John is 19 and his sister is 23.
Step-by-step explanation:
See attached image.
help grade 5 math please only answer if you know and if it’s right ill mark brainliest and please fast extra points who explain it
Answer:
[tex]\frac{42}{8}[/tex]
Step-by-step explanation:
7/8 <> 0.875
0.875 * 6 = 5.25
5.25 <> 42/8
(<> is used to show decimal to fraction and vice versa [the other way around])
what is the answer for this question much appreciated if you attempt to help me
Answer:
The surface area of the triangular prism is [tex]624cm^{2}[/tex]
Step-by-step explanation:
First find the area of the triangle.
The formula of the area of triangle is: [tex]\frac{1}{2} * h*b[/tex]
h=height
b=base or width.
[tex]\frac{1}{2}*16*12[/tex]
But, since we have two triangles we can skip the [tex]\frac{1}{2}[/tex] because [tex]2*\frac{1}{2} =1[/tex].
[tex]16*12=192[/tex], that is the area of the two triangles combined.
Now let's find the area of the rectangles. I'll start with the diagonal one.
The formula of the area of the rectangle is: [tex]h*b[/tex].
[tex]20*9=180[/tex].
The next rectangle.
[tex]9*16=144[/tex]
The final rectangle.
[tex]12*9=108[/tex]
Now combine all the areas to find the surface area of the triangular prism.
[tex]192+180+144+108=624[/tex]
The surface area of the triangular prism is [tex]624cm^{2}[/tex]
Hope this helps!
If not, I am sorry.
Hey guys, need help here
Assuming [tex]a[/tex] is a non-negative real number...
Raise both sides to the power 2 :
[tex]a^{3/4} = 8 \implies \left(a^{3/4}\right)^2 = 8^2 \implies a^{3/2} = 64[/tex]
which follows from the exponent product property, [tex](x^y)^z=x^{yz}[/tex]. In particular, 3/4 × 2 = 6/4 = 3/2.
Raise both sides to the power 1/3 :
[tex]\left(a^{3/2}\right)^{1/3} = 64^{1/3} \implies a^{1/2} = 4[/tex]
where we use the same property as before, and 4³ = 64. This time, 3/2 × 1/3 = 3/6 = 1/2.
Take the reciprocal of both sides. This negates the exponent, so we end up with
[tex]\dfrac1{a^{1/2}} = \dfrac14 \implies \boxed{a^{-1/2} = \dfrac14}[/tex]
Of course, you could also solve for [tex]a[/tex] immediately by raising both sides of the original equation to the power 4/3. We have 4/3 × 3/4 = 12/12 = 1, so
[tex]a^{3/4} = 8 \implies \left(a^{3/4}\right)^{4/3} = 8^{4/3} \implies a = 8^{4/3}[/tex]
Now 2³ = 8, so [tex]8^{4/3} = \left(8^{1/3}\right)^4 = 2^4 = 16[/tex], and since 4² = 16, it follows that
[tex]a = 16 \implies a^{1/2} = \sqrt{16} = 4 \implies a^{-1/2} = \dfrac14[/tex]
Your are designing a rectangular birthday card for a friend. You want the card's length to be 1 inch more than twice the card's width. The area of the card is 88 square inches. What is the width of the card to the nearest tenth of an inch?
The width of the card to the nearest tenth of an inch is 6.15 inches
Area of rectangleWidth = xLength = 2x + 1Area = 88 square inchesArea of a rectangle = Length × Width
88 = (2x + 2) × x
88 = 2x² + 2x
2x² + 2x - 88 = 0
x = -b ± √b² - 4ac / 2a
= -2 ± √2² - 4(2)(-88) / 2(2)
= -2 ± √4 - (-704) / 4
= -2 ± √708 / 4
= -1/2 ± √177/2
x = 6.15 or -7.15 inches
The width of the rectangle can not be negative, so, 6.15 inches is the width.
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PLEASE HELP!!!!!
Estimate the solution to the system of equations.
y=4x−2
y=x+3
(Choice A)
x= 2/3
y= 4 2/3
(Choice B)
x= 1 2/3
y=3 2/3
(Choice C)
x= 1 2/3
y=4 2/3
(Choice D)
x=2/3
y= 3 2/3
The value of the variable x and y will be 1 2/3 and 4 2/3. Then the correct option is C.
What is the solution of the equation?The solution of the equation means the value of the unknown or variable.
The equations are given below.
y = 4x − 2 ...1
y = x + 3 ...2
Subtract equation 1 from 2, then we have
0 = 3x – 5
3x = 5
x = 5/3
x = 1 2/3
Then the value of y will be
y = 5/3 + 3
y = 14 / 3
y = 4 2/3
Then the correct option is C.
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choose the system of equations!!
Answer:
It is the FOURTH OPTIONor D
Can you help find m<1
Answer:
69 degrees
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the two opposite interior angles.
<1 = 39+ 30
<1 = 69
The sum of the series: -2+(-8) + (-32)++ (-2048) equals
I really neeed help!!! Please I’m begging you!!!!!!
Answer:
-2090
Step-by-step explanation:
1) Remove parentheses.
-2 -8 -32 -2048
2) Simplify - 2 - 8 to -10.
-10 - 32 - 2048
3) Simplify -10-32 to -42.
-42 - 2048
4) Simplify.
-2090
3.
The sides of a rectangle are x cm and (x + 1) cm. A circle has radius of (x + 2) cm. If the
22
sum of the area of the rectangle and the circle is 184 cm². Using n as 22/7find the value of x.
Answer:
x = 5.00 cm
Step-by-step explanation:
• area of the rectangle = [tex]x[/tex] x [tex](x + 1)[/tex]
= [tex]x^2 + x[/tex]
• area of the circle = π r²
= [tex]\frac{22}{7}[/tex] x [tex](x + 2)^2[/tex]
= [tex]\frac{22}{7}[/tex] x [tex](x^2 + 4x + 4)[/tex]
∴ [tex]x^2 + x[/tex] + [tex]\frac{22}{7}[/tex] x [tex](x^2 + 4x + 4) = 184[/tex]
⇒ [tex]x^2 + x[/tex] + [tex]\frac{22}{7} x^2 \space\ + \space\ \frac{88}{7} x \space\ + \space\ \frac{88}{7} = 184[/tex]
⇒ [tex]\frac{29}{7}x^2 \space\ + \space\ \frac{95}{7}x \space\ - \frac{1200}{7} = 0[/tex]
• Using quadratic formula, where
a = [tex]\frac{29}{7}[/tex]
b = [tex]\frac{95}{7}[/tex]
c = [tex]\frac{-1200}{7}[/tex] ,
[tex]x=\frac{-b \pm \sqrt{b^2-4c}}{2}[/tex]
[tex]x = \frac{-\frac{95}{7}\pm \sqrt{(\frac{95}{7})^2 - 4(\frac{29}{7})(\frac{-1200}{7} ) } }{2(\frac{29}{7})}[/tex]
[tex]x = 5.00 \space\ \space\ \space\ or \space\ \space\ \space\ x = -8.28[/tex]
As length (x) cannot be a negative number,
x = 5.00 cm
What do the points on the line in quadrant I represent in terms of the situation
Answer:
The points present in the first quadrant are of the form (a, b) where a, b>0.
Step-by-step explanation:
The points present in the first quadrant are of the form (a, b) where a, b>0.
In the first quadrant both the abscissa and ordinate are positive.
In the second quadrant the abscissa is negative and ordinate is positive.
In the third quadrant both the abscissa and ordinate are negative.
In the forth quadrant both the abscissa is positive and ordinate are negative.
The examples of points in the first quadrant are (1,0), (2,3), (11,4) and many other.
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Answer: The y-coordinates in the first quadrant are positive. because y represents the profit made, positive y values signify profit. The points in quadrant I represent the baseball team making a profit.
Step-by-step explanation: Source - I took the test.
G
Express as a percent.
4/5%
Answer:
80%
Step-by-step explanation:
I'm assuming you meant express 4/5 as a percent and not 4/5%. So simply evaluate 4/5 to get 0.80. Now multiply this value by 100 to get the percentage which gives you 80%
Directions:
Sarah is going to the movies and she has $10 to spend on snacks. Smoothies are $3
and candy bars are $1 each. She will be spending all of the $10.
Budget: $10
Smoothies: $3
Candy bars: $1
Draw a line graph that represents the budget constraints and possible purchasing
options that Sarah has with her $10.
The attached graph represents the graph of the equation 3x + y = 10
How to determine the line graph?The given parameters are:
Budget: $10Smoothies: $3Candy bars: $1Represent the number of smoothies with x and the number of candy bears with y.
So, the equation is:
3x + 1y = 10
This gives
3x + y = 10
Next, we plot the graph of the above equation
See attachment for the graph of 3x + y = 10
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The line equation 3x + y = 10 represents the budget constraints and possible purchasing options that Sarah has with her $10, and the graph is shown in the picture.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
Sarah is going to the movies, and she has $10 to spend on snacks. Smoothies are $3 and candy bars are $1 each. She will be spending all of the $10.
Let's suppose the number of smoothies is x and the number of candy bars is y:
Then, we can frame a linear equation in one variable:
3x + y = 10
Drawing the above the line on the coordinate plane:
Thus, the line equation 3x + y = 10 represents the budget constraints and possible purchasing options that Sarah has with her $10, and the graph is shown in the picture.
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Given: NQ is the bisector of ZMNP and ZNMQ
ZNPQ
Prove: Δ MNQ =ΔΡΝΟ
M
N
Q
P
1) [tex]\overline{NQ}[/tex] is the bisector of [tex]\angle MNP[/tex] and [tex]\angle NMQ \cong \angle NPQ[/tex] (given)
2) [tex]\angle MNQ \cong \angle QNP[/tex] (a bisector splits an angle into two congruent angles)
3) [tex]\overline{NQ} \cong \overline{NQ}[/tex] (reflexive property)
4) [tex]\triangle MNQ \cong \triangle PNQ[/tex] (AAS)
Select the correct answer.
Sammile pays $30 for a bag that she buys at a discount of 50% What is the price of the bag without the discount?
O A $30
O B. $45
O C. $60
O D. $80
If 30 is half price, then what is full price?
You can set up this problem like this:
30 = x/2
OR
30 = (1/2)x
where x is the full price.
To solve, simply multiply each half by 2:
2(30) = 2((1/2)x)
x = $60