Answer:
y = -2x + 5
Step-by-step explanation:
Slope-intercept form: y = mx + b
The slope of the line, m, is -2 because the line shows a negative trend and moves right 1 unit every time a point moves down 2 units.
The y-intercept, b, is 5 because the line crosses that number once on the y-axis.
Alexei wants to hang a mirror in his boat and put a frame around it. The mirror and frame must have an area of 19.25 square feet. The mirror is 3 feet wide and 5 feet long. Which quadratic equation can be used to determine the thickness of the frame, x?
2x^2 + 8x − 19.25 = 0
3x^2 + 5x − 19.25 = 0
4x^2 + 16x − 4.25 = 0
4x^2 + 16x + 15 = 0
The quadratic equation 4x² +16x - 4.25 = 0 can be used to determine the thickness of the frame option third is correct.
What is a quadratic equation ?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
We have:
The mirror and frame must have an area of 19.25 square feet. The mirror is 3 feet wide and 5 feet long.
Let's suppose the thickness of the frame is x:
Then, the area of the rectangle:
(2x+3)(2x+5) = 19.25
4x² + 10x + 6x + 15 = 19.25
4x² +16x - 4.25 = 0
Thus, the quadratic equation 4x² +16x - 4.25 = 0 can be used to determine the thickness of the frame option third is correct.
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You need new shoes for work which cost $70. You earn $400 net income each week, but have expenses totaling $380 each week. If you set aside the difference between your weekly income and expenses, how many weeks will it take you to save enough to buy the shoes?
Answer:
4 weeks
Step-by-step explanation:
Remaining money (per week) :
Net income - Expenses$400 - $380$20No. of weeks to buy shoes :
Cost of shoes / Remaining money (per week)$70/$203.5 ≈ 4 weeks (nearest whole week)Answer:
hope it will help you
Step-by-step explanation:
hope it will help you
Calculate the average velocity of a motor cycle that travels 72km/hr in 20 seconds.
Answer:
400m/s
Step-by-step explanation:
72×1000÷3600
=20
20×20
=400m/s
Mary invests £12000 in a savings account. The account pays 1.5% compound interest per year. Work out the value of her investment after 2 years
Answer:
12362.70
Step-by-step explanation:
Becuae you have to use the principal and all that sorry i can not rpovide and explaination sorry brainly patrol pls dont delete this
What is 1 raised to the third power?
Answer:
1
Step-by-step explanation:
Given that, 1 to the power of 3
Generally, the rules for exponentiation states that if l is any real number and m is a positive integer, then lm can be shown as:
lm = l × l × … × l (m times)
Hence, 1 to the power of 3 can be written as 13, where the number 1 is called the base, and 3 is the power or exponent of the expression.
Therefore, 13 = 1 × 1 × 1 = 1
Hence, 1 to the power of 3 comes as 1.
Answer:
1
Step-by-step explanation:
No matter what power you raise one to it will still be 1
3. the stem-and-leaf plot shows the cost of lamps at a department store.
(a) what is the median cost?
(b) is there a mode? if so, what is it?
(c) what is the difference between the most expensive and least expensive lamps?
(d) how many lamps cost more than $20 but less than $40?
(e) what is the ratio of lamps that cost less than $40 to lamps that cost more than $40? write the ratio in simplest form.
Answer:
I don't know F but if y'all do let me now.
Step-by-step explanation:
(b) the price in the very middle of a data set, with exactly half of the houses priced for less and half priced for more.
(c) The mode is the value that appears most frequently in a data set. A set of data may have one mode, more than one mode, or no mode at all. Other popular measures of central tendency include the mean, or the average of a set, and the median, the middle value in a set.
(d) The two biggest things that come to mind right away is how is it going to be used and who is going to be using it? While we would all love to get the highest quality that’s just not always possible. So, that’s a good starting point for me is considering the answer to those two questions.
(e) Price and other details may vary based on product size and color.
The difference between the most and least expensive lamps represented on the stem and leaf plot is 66.
The median costThe stem and leaf plot that completes the question is added as an attachment.
The median cost is the leaf element at the middle.
The plot has 18 leaves.
So, the median position is:
Median = (18 + 1)/2 = 9.5th
This means that the median is the mean of the 9th and the 10th items.
So, we have:
Median = (58 + 58)/2
Median = 58
Hence, the median cost is $58
The modal costThis is the element with the highest frequency in the plot.
From the attached plot 65 has the highest frequency of 3
Hence, the modal cost is 65
The difference between the most and least expensive lampsFrom the plot, we have:
Most expensive = 78
Least expensive = 12
The difference (d) is:
d = 78 - 12
d = 66
Hence, the difference between the most and least expensive lamps is 66.
Number of lamps that cost more than $20 but less than $40This means that we check the items in the range 20 to 40 (exclusive)
The elements in this range are:
25, 28, 30, 32 and 34
Hence, 5 lamps that cost more than $20 but less than $40
Ratio of lamps that cost less than $40 to more than $40From the plot, we have:
Less than $40 = 6
More than $40 = 12
The ratio is represented as:
Ratio = 6 : 12
Simplify
Ratio = 1 : 2
Hence, the ratio of lamps that cost less than $40 to more than $40 is 1 : 2
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A customer purchased 1/2 pound of ham,1 pound of turkey,1/4 pound of roast beef,and 2 1/2 pounds of salami. Approximately how much did the customer pay for all the meat?
THE CHART
Ham-$5.99
Turkey-$4.99
Roast beef-$6.99
Salami-$2.99
bologna-$3.99
Answer:
Step-by-step explanation:
since this answer wants an approximation, we can round the cost up
Ham- 6 1/2 of 6 = 3
Turkey- 5 1 pound of turkey= 5
Roast Beef- 7 1/4 of 7= 1.75
Salami- 3 2 x 3= 6 1/2 of 3= 1.5 = 7.5
bologna- 4 No bologna was purchased.
3+5+1.75+ 7.5= 17.25 which is approximately 17.
Solve for x. Round your answer to the nearest tenth if necessary.
Answer: 15.9
Step-by-step explanation:
Can some one help me please
Answer:
a) angle A = angle Z
angle B = angle X
angle C = angle Y
b) AB= ZX
AC=ZY
BC=XY
c) triangle CAB=YZX
hope it helps you
A bag of flour weighs 90 grams. If the weight of the bag increases by 15% find the new weight of the bag.
[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
weight of bag = 90 grams
According to Question ,
weight of the bag increases by 15%
therefore ,
the new weight of bag ,
[tex] \frac{\cancel{15}}{\cancel{10}\cancel0} \times 9\cancel0 \\ \\ \dashrightarrow \: \frac{3}{2} \times 9 \\ \\ \dashrightarrow \: \frac{27}{2} \\ \\ \dashrightarrow \: 13.5[/tex]
so ,
new weight = 90 + 13.5 kg
= 103.5 kg
hope helpful ~
If a cross-section of the block is cut perpendicular to the base and passes through the top vertex of a pyramid which of the following shapes describes the cross-section
Triangle
Rectangle
Trapezoid
Hexagon
A triangle (Option B)
If you cut it perpendicular to its base and through its vertex, the cross-section would be shaped like an isosceles triangle. The base of the triangle will be the base of the cone. The cone would create a circle shape if the plane sliced it parallel to its base
5a+3-4a²+2a³ sandard form
What is the probability that the spinner will land on a number greater than 4 or on a shaded section? two-ninths one-half two-thirds five-sixths
The probability that the spinner will land on a number greater than 4 or on a shaded section is 2/3
How to determine the probability?The given parameters are:
Sections = 6Numbers greater than 4 = 2Shaded section = 3Shaded section and greater than 4 = 1Using the above parameters, we have the following probabilities
P(Greater than 4) = 2/6
P(Shaded) = 3/6
P(Shaded section and greater than 4) = 1/6
The required probability is then calculated using:
P = 2/6 + 3/6 - 1/6
Evaluate
P = 4/6
Simplify
P = 2/3
Hence, the probability that the spinner will land on a number greater than 4 or on a shaded section is 2/3
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How can you prove that csc^2 θtan^2 θ-1=tan^2 θ?
[tex]\stackrel{\textit{Pythagorean Identities}}{1+tan^2(\theta)=sec^2(\theta)}\implies tan^2(\theta ) = sec^2(\theta )-1 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ csc^2(\theta )tan^2(\theta )-1~~ = ~~tan^2(\theta ) \\\\[-0.35em] ~\dotfill[/tex]
[tex]csc^2(\theta )tan^2(\theta )-1\implies \cfrac{1}{sin^2(\theta )}\cdot \cfrac{sin^2(\theta )}{cos^2(\theta )}-1\implies \cfrac{1}{cos^2(\theta )}-1 \\\\\\ \cfrac{1^2}{cos^2(\theta )}-1\implies \left[ \cfrac{1}{cos(\theta )}\right]^2-1\implies sec^2(\theta )-1\implies tan^2(\theta )[/tex]
Help me on this question
Answer:
F.2:30 a.m.
8 revolutions= 8×90=720mn= 12h
So the sign starts from 2.30p.m.
Then the sign after 8 revolutions is 2.30 a.m.
Please give Brainliest
Boris wants to sort his crayons and give out the
yellow ones. He has 360 crayons altogether.
of the crayons are blue.
18
60% of the crayons are red.
The rest are yellow.
Work out the number of crayon he gives out
Answer:
126 yellow crayons
Step-by-step explanation:
Finding the number of each of the crayons :
Blue = 18Red = 60% of total = 60% x 360 = 0.6 x 360 = 216Number of yellow crayons :
Total - [Blue + Red]360 - [18 + 216]360 - 234126 yellow crayonsThe probability distribution shows the results of a survey of people's fear of flying on an airplane. find the probability that a person who is afraid of flying has never flown before. round to the nearest thousandth.
Answer:
0.070
Step-by-step explanation:
Bc I know how to do math
g(t)=t²−t−42
1) What are the zeros of the function?
Write the smaller t first, and the larger t second.
smaller t=?
larger t=?
2) What is the vertex of the parabola?
(?,?)
Answer:
1) The smaller t is -6
The larger t is 7
2) The vertex of the parabola is (1/2, -42.25)
Step-by-step explanation:
Hey there!
To find the zeros of a function, you need to find two values that add up to "b" and multiply together to get "ac"
The b and ac come from the standard form of a parabola which this statement is given to us right now
t^2-t-42
1 is the "a" value, -1 is the "b" value, and -42 is the "c" value
What are two numbers that multiply together and get -42 and those same two numbers add up to -1
Those two numbers are -7 and 6
When you multiply those numbers together, you get -24
And when you add them together, you get -1
Now you can split the -t in the equation
The new equation after splitting the original equation will look like this
t^2-7t+6t-42
Now we group the equation into two parts
(t^2-7t) + (6t-42)
Since t is the common variable in the first set of parentheses, we can take it out
t(t-7)+(6t-42)
Now in the second pair of parentheses, 6 is the constant term
You can also take that out
t(t-7)+6(t-7)
Now we have our zero pairs
We take one of the parentheses and the terms that are outside of the parentheses
Now we have
(t+6)(t-7)=0
Now we can find our two zeros
The smaller t is -6
The larger t is 7
Now we have to find the vertex
The formula to solving the x-coordinate of the vertex is -b/2a
The "b: value is -1 and the "a" value is 1
So, the x-coordinate of the vertex is 1/2
Now we plug that into the equation
(1/2)^2 - 1/2 - 42
1/4 - 1/2 - 42
-1/4 - 42
-169/4 --> -42.25
So, the y-coordinate of the vertex s -42.25
This means,
The vertex of the parabola is (1/2, -42.25)
How many variables are displayed in a scatterplot?
A. one along the x-axis, and one along the y-axis
B. one along the x-axis, and two along the y-axis
C. two along the x-axis, and one along the y-axis
D. two along the x-axis, and two along the y-axis
Answer:
A. one along the x-axis, and one along the y-axis
Step-by-step explanation:
For any kind of a plot, one variable is displayed along each axis.
__
A scatter plot has variables displayed one along the x-axis, and one along the y-axis.
Answer:
A. one along the x-axis, and one along the y-axis
Step-by-step explanation:
Edge 2023
Which transformation is not a rigid motion?
A. Rotating a triangle around the origin.
B. Reflecting a triangle over the yaxis.
C. Translating a triangle down.
D. Dilating a triangle.
Answer:
B. po
Step-by-step explanation:
reflection a triangle over the yaxis.
If you knew that two angles complemantary and were given the measure of one of those angles would you be able to find the measurement of the other angles
Answer: Yes
Step-by-step explanation:
You could subtract the measure of the first angle from 90 degres to find the measure of the second angle.
A 2-column table with 5 rows. Column 1 is labeled x with entries negative 4, negative 2, 0, 2, 4. Column 2 is labeled y with entries 19, 16, 13, 10, 7.
Use the values in the table to determine the slope.
m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction
none
Three-halves
0
Negative three-halves
I NEED IT ASAP I HAVE 10 MINUTES
does anyone know proof without words ?
Step-by-step explanation:
it shows that all the small triangles that together make the complete square (c²) under the Hypotenuse consist of exactly all the composing triangles of the squares above the legs (a² and b²).
we find the 2 purple, the 2 orange, the 2 yellow and the 2 blue triangles there.
so, the area of c² must be the same as the sum of the areas of a² and b².
What areC12, C31, and C22 of matrix C?
Compute the sum to simplify C :
[tex]C = \begin{bmatrix}16-0.5 & 9+0 \\ -3+5 & 0 + 8 \\ 4-3 & -10+14\end{bmatrix} = \begin{bmatrix}15.5 & 9 \\ 2 & 8 \\ 1 & 4\end{bmatrix}[/tex]
Now, [tex]c_{ij}[/tex] is the entry of the matrix in row i and column j, so
[tex]C = \begin{bmatrix}15.5 & \boxed{9} \\ 2 & 8 \\ 1 & 4\end{bmatrix} \implies c_{12} = 9[/tex]
[tex]C = \begin{bmatrix}15.5 & 9 \\ 2 & 8 \\ \boxed{1} & 4\end{bmatrix} \implies c_{31} = 1[/tex]
[tex]C = \begin{bmatrix}15.5 & 9 \\ 2 & \boxed{8} \\ 1 & 4\end{bmatrix} \implies c_{22} = 8[/tex]
#72 i will give brainliest to the best answer!
Step-by-step explanation:
Select all of the following that are quadratic equations.
x² + 3x - 5 = 0 ✓
x² - x = 3x + 7 ✓
5x - 7 = 0 X
7x² + 14x = 0 ✓
x³ - 3x² + 1 = 0 X
x - 5 = 9x + 7 X
What is quadratic equations?
Quadratic equations is a equation that has a general form like "ax² + bx = c"
For example :
x² + 3x - 5 = 0
x² + 3x = 5
x² → ax²
3x → bx
5 → c
Find the measure of the missing angles.
Answer:
I think it's
G: 71
H: 109
K: 151
M: 29
Step-by-step explanation:
This shows many straight angles, which we can use to find the answers.
H and 71 are on one, every right angle is 180 degrees, so we subtract 71 from 180 and get 109. G and 71 are vertical angles which makes them the same, therefore G is also 61.
M and 151 are on another straight angle, so we do the same thing, subtract 151 from 180 and we get 29. There is a line under that and M and the little unmarked angle are vertical angles so they are the same making the little one 29, making K also 151.
Hope this helps
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The correct order for saving should be____
A. emergency fund, retirement, pay off credit debt
B. retirement, emergency fund, pay off credit debt
C. pay off credit debt, emergency fund, retirement
D. pay off credit debt, retirement, emergency fund
Answer:
Step-by-step explanation: C. pay off credit debt, emergency fund, retirement
help plea i am beg screenshot in
Answer:
SA = 105 in^2
Step-by-step explanation:
To find surface area, find the area of all the shapes and add it all together. This shape has 4 triangle faces. They are all the same. So we can find one of them and times by 4.
Area of a triangle:
A = 1/2b•h
= 1/2• 5 • 8
= 1/2 • 40
= 20
One triangle has area 20, so times by 4 (bc four triangles)
4•20
= 80
Area of square 5•5
= 25
Add the areas:
80 + 25
= 105 sq in
The dual bar chart shows the hair colour of boys and girls in a year group.
20
18
16
14
12
10
8
6
4
Black
Brown
Blonde
What fraction of the students are girls?
Give your answer in its simplest form
Frequency
20
Hair colour
Red
Boys
Girls
Only 4 students have won the track races this year gina has won 4 times Hal has won 3 times Isabel has won 3 times and Jamal has won 4 times