Answer:
-25
Step-by-step explanation:
Factor the polynomial, 3x^2+x-10
[tex]3x^2+x-10=\boxed{(x+2)(3x-5)}[/tex]
An employee who earns $12/hour, worked 37 hours this week, is paid a commission of $40 for each sale, and makes 9 sales during the same week, has earned total commissions of $ .
The total commission that's earned will be $360.
How to illustrate the expression?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.
In this case, an employee who earns $12/hour, worked 37 hours this week, is paid a commission of $40 for each sale, and makes 9 sales during the same week. Employees receive commission, also referred to as a sales commission, based on the sales they generate. A sales commission is a payment made to an employee after they successfully complete a task, typically selling a predetermined volume of goods or services. Sales commissions are a common incentive used by employers to boost employee productivity. A commission can be paid instead of or in addition to a salary.
The total commissions will be:
= Amount of commission × Number of sales
= $40 × 9
= $360
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Help me pls thank u
The value of slope for line equation 1 is -5/2. The value of slope for line equation 2 is 5/3.
What is slope?A line's steepness may be determined by looking at its slope. Slope is computed mathematically as "rise over run" (change in y divided by change in x). The slope-intercept form of an equation is used whenever the equation of a line is expressed in the form y = mx + b. M represents the line's slope. B is the b in the location where the y-intercept is located (0, b). For instance, the slope and y-intercept of the equation y = 3x - 7 are 3 and 0, respectively.
Here,
y=mx+c
where m is slope.
line equation 1,
y=-5/2x-5
m=-5/2
line equation 2,
y=5/3x
m=5/3
For line equation 1, the slope is equal to -5/2. For line equation 2, the slope is equal to 5/3.
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Graph the following features:
•Slope = 4/5
•y- intercept = 1
An equation of a line with slope(m) = 4/5 and y-intercept(b) = 1 can be formed as y = (4/5)x + 1.
What is the slope?The slope is the rate of change of the y-axis with respect to the x-axis.
The equation of a line in slope-intercept form is y = mx + b, where
slope = m and y-intercept = b.
We know the greater the absolute value of a slope is the more steeper is it's graph or rate of change is large.
An equation of a line in slope-intercept form with slope(m) = 4/5 and
y-intercept(b) = 1 can be formed as y = (4/5)x + 1.
The graph of this line is attached below.
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Write the equation of the line that passes through (7,-4) and (-1,-2) in slope intercept form
4. What is the area of the triangle shown on the graph below?
(1) 10
(2) 11
(3) 14
(4) 25
Answer:
Step-by-step explanation:
The area of each triangle is one-half the area of the rectangle. So, the area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle.
From question 28 -29
Help please
I need help I don’t know what to do can someone help me?
Answer:
Below
Step-by-step explanation:
These are both equations of lines.....one has slope =6 and the other has slope = 4 so they will cross at ONE point
The graph represents the journey of a bus from the bus stop to different locations:
Part A: Use complete sentences to describe the motion of the bus in parts 1,2,3,4, and 5 of the journey. (4 points)
Part B: In which parts of the graph is the function increasing, decreasing, and constant? (4 points)
Part C: Is the graph linear or non-linear? Explain your answer. (2 points)
Answer:
Step-by-step explanation:
Part A:
For number 1, the bus drives non-linear. It is not a constant rate but it is increasing.
For number 2, the bus is at a stopping point.
For number 3, the bus drives in a non-linear rate but it still increasing.
For number 4, the bus is at its last stop, the middle of the bus ride, the peak of the time.
For number 5, the bus comes to a non-linear decrease in the route. and eventually the end.
Part B:
The bus is increasing in numbers 1 and 3, and decreasing for number 5, and at a constant at numbers 2 and 4.
Part C:
The graph is non-linear, as the slope is not at a constant.
Answer:
Sorry i don't know. But i think this is a good priblem
Evaluate the verbal expression below where x = 3 and y = 4.
The quantity of 6 less than y, raised to the power of x
A. 8
B. 58
C. -58
D. -8
The evaluated expression the quantity of 6 less than y, raised to the power of x is - 8. Therefore, the correct option is D.
How to evaluate an expression?The quantity of 6 less than y, raised to the power of x can be expressed as follows:
The verbal expression can be converted to a mathematical expression as follows:
(y - 6)ˣ
when
y = 4
x = 3
Therefore,
(y - 6)ˣ = (4 - 6)³
Therefore,
(4 - 6)³ = (-2)³
(-2)³ = -8
Therefore, the evaluated expression is -8.
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Sam invests $ 4500 into an account earning 7.25% interest compounded quarterly. How long will it take to double his money?
Doubling time in years =
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \stackrel{doubled}{\$9000}\\ P=\textit{original amount deposited}\dotfill &\$4500\\ r=rate\to 7.25\%\to \frac{7.25}{100}\dotfill &0.0725\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years \end{cases}[/tex]
[tex]9000=4500\left(1+\frac{0.0725}{4}\right)^{4\cdot t} \implies \cfrac{9000}{4500}=\left(1+\frac{0.0725}{4}\right)^{4\cdot t} \\\\\\ 2=1.018125^{4t}\implies \log(2)=\log(1.018125^{4t})\implies \log(2)=t\log(1.018125^{4}) \\\\\\ \cfrac{\log(2)}{\log(1.018125^{4})}=t\implies 9.65\approx t\qquad \textit{about 9 years and 8 months}[/tex]
Determine the product
(2x+5)(x²-x+2)
Answer:
2x³ + 3x² - x + 10
Step-by-step explanation:
2x³ - 2x² + 4x + 5x² - 5x + 10
2x³ + 3x² - x + 10
What is the left cv and the right cv?
The critical values and shecht the rejection reglues for a theo-tall tent, in a Z procedure with significance level isterse is (-1.812,1.812).
[tex]$\alpha=0.07$[/tex] This is two tailed lest
critical values are [tex]$\pm 1.812$[/tex]
What is critical values ?
A critical value is a value used as a cut-off to indicate the beginning of a zone where the test statistic from a hypothesis test is unlikely to decrease. In hypothesis testing, the crucial value and the resulting test statistic are compared to decide whether or not the null hypothesis has to be rejected.
For hypothesis testing, the crucial value graphically separates the graph into the acceptance region and the rejection zone. A test statistic's statistical significance should be verified. We will learn more about the critical value in this article, including its types, formula, and calculation method.
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Imagine that a school recently issued requests that all students change their login passwords to improve security and prevent unauthorized access to student accounts.
One of your friends claims that the best password (from a purely probabilistic perspective) is one that is short but highly complex. They decide to create a randomly generated 7-character password that contains both upper- and lower-case letters (A – Z and a – z) and numbers (0 to 9). What is the probability of guessing their password based on these conditions?
Answer:
The probability of guessing this password is 1 in 62^7, or approximately 1 in 5.4 trillion.
Step-by-step explanation:
Based on the information you provided, your friend's password is a randomly generated 7-character password that contains both upper- and lower-case letters and numbers. This means that the password could be any combination of the 62 possible characters (26 upper-case letters, 26 lower-case letters, and 10 digits).The probability of guessing this password is 1 in 62^7, or approximately 1 in 5.4 trillion. This means that, in theory, it would take someone a very long time to guess your friend's password by randomly trying different combinations of characters.However, it's important to note that there are other factors that can affect the security of a password, such as whether the password is easy to guess or has been used before by the user or someone else. It's generally recommended to use a long, complex password that is unique and not easily guessable to maximize security.
Answer: 1/(3,521,614,606,208)
Explanation:
There are 26 letters in the English alphabet. This doubles to 52 when considering upper and lowercase letters. Then add on 10 more because of the digits 0 through 9.
In total, there are 2*26+10 = 52+10 = 62 different characters to pick from for any given slot of the 7-character password.
Assuming repeated characters are allowed, this then gives us
62^7 = 3,521,614,606,208
different passwords possible. This massive number is a little over 3.5 trillion. In scientific notation, it is approximately equal to 3.522 * 10^12
The probability of randomly guessing the correct password is 1 over that massive number, since there's only one way to get the correct password. We get the fraction 1/(3,521,614,606,208)
We can say the odds of guessing the correct password are roughly 1 in 3.5 trillion.
Find the 15th term in the geometric sequence 20,10,5,2.5
The 15th term of the given geometric sequence will be (C) 5/4096.
What is a geometric sequence?Mathematicians refer to a succession of non-zero numbers as a geometric progression or geometric sequence.
Each term after the first is derived by multiplying the previous term by a fixed, non-zero value called the common ratio.
So, the geometric sequence will be:
nth term formula: aₙ = a₁rⁿ⁻¹
Now, insert the values and calculate as follows:
aₙ = a₁rⁿ⁻¹
a₁₅ = 20(1/2)¹⁵⁻¹
a₁₅ = 20(1/2)¹⁴
a₁₅ = 20(1/16384)
a₁₅ = 20/16384
a₁₅ = 5/4096
Therefore, the 15th term of the given geometric sequence will be (C) 5/4096.
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Complete question:
Find the 15th term in the geometric sequence below. 20, 10, 5, 2.5, . . .
A.-25/4,096
B.-5/4,096
C.5/4,096
D.25/4,096
For every $45 she earns Emily puts $18 into saving what percent of her pay does she put into her saving?
Using the concept of ratio, the percentage Emily saved is 40%
What is Percentage?Percentage can be defined as a ratio or a number which can be expressed as a fraction of 100. When we need to calculate percent of a number, divide the number by the whole and multiply by 100. The percentage in this can be said to be a part per hundred.
Data;
Total amount earned = 45Amount saved = 18The percentage saved = (amount saved / total amount earned) * 100
Substituting the values into the equation above;
The percentage saved = (18 / 45) * 100
The percentage saved = 0.4 * 100
The percentage saved = 40%
The percentage saved is 40%
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Question Solve 6=t/5
Answer:
30=t i think
Step-by-step explanation:
So basically what you do is since it is division you would multiply 5 by its self and you multiply on the other side because if you do something on one side you have to do it on another so that would leave you with 30=t
Drag the equation or type of function to the corresponding graph. Drag the items on the left to the correct location on the right.
Options F and A=[tex]y=\frac{1}{2}^{x}[/tex] match the fourth graph (exponential decay.)
Options G and B=[tex]y=\log_{10}x[/tex] match the second graph (logarithmic growth).
Options E and C=[tex]y=e^{x}[/tex] match the first graph (exponential growth).
Options H and D=[tex]y=\log_{0.5}x[/tex] matches the third graph (logarithmic decay).
What are growth curves?
An illustration of changes in similar circumstances is referred to as a growth curve. It exemplifies how things vary through time, including population, consumer preferences, demand or supply, etc.
What are decay curves?
The decay curve, basically, is a way to depict the rate or specifically exponential rate at which disintegration occurs in a radioactive sample
If we equate the curves and the graphs, we see that both options A and F merge up to the exponential decay model.
Similarly, both options B and G merge up to the logarithmic growth graph model.
Options C and E merge up to the exponential growth model.
Options D and H merge up to the logarithmic decay model.
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When writing 2–√5
2
5
as 2n
2
n
, which statement is true about the value of n
n
?
Responses
The value of n
n
is 15
1
5
because (2–√5)5=21
(
2
5
)
5
=
2
1
and (21/5)5=21
(
2
1
/
5
)
5
=
2
1
, so 2–√5=21/5
2
5
=
2
1
/
5
.
The value of n is 1 5 because ( 2 5 ) 5 = 2 1 and ( 2 1 / 5 ) 5 = 2 1 , so 2 5 = 2 1 / 5 .
The value of n
n
is 15
1
5
because (2–√5)5=21
(
2
5
)
5
=
2
1
and (21/5)5=20
(
2
1
/
5
)
5
=
2
0
, so 2–√5=21/5
2
5
=
2
1
/
5
.
The value of n is 1 5 because ( 2 5 ) 5 = 2 1 and ( 2 1 / 5 ) 5 = 2 0 , so 2 5 = 2 1 / 5 .
The value of n
n
is −5
−
5
because (2–√5)5=21
(
2
5
)
5
=
2
1
and (2−5)5=21
(
2
−
5
)
5
=
2
1
, so 2–√5=2−5
2
5
=
2
−
5
.
The value of n is − − 5 because ( 2 5 ) 5 = 2 1 and ( 2 − − 5 ) 5 = 2 1 , so 2 5 = 2 − − 5 .
The value of n
n
is −5
−
5
because (2–√5)5=21
(
2
5
)
5
=
2
1
and (2−5)5=20
(
2
−
5
)
5
=
2
0
, so 2–√5=2−5
2
5
=
2
−
5
.
The value of n is − − 5 because ( 2 5 ) 5 = 2 1 and ( 2 − − 5 ) 5 = 2 0 , so 2 5 = 2 − − 5 .
The true statement about n is (a) The value of n is 1/5 because (⁵√2)⁵ = 2¹ and (2¹/⁵)⁵ = 1, so ⁵√2 = 2¹/⁵
How to determine the true statement about n?From the question, we have the following parameters that can be used in our computation:
Expression = ⁵√2
Also from the question, we understand that the expression is to be expressed as
2ⁿ
This means that
⁵√2 = 2ⁿ
Re-express ⁵√2 using the law of indices
2ⁿ = 2¹/⁵
By comparison, we have
n = 1/5
This means that the value of n is 1/5
Hence, the true statement is (a)
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Answer:
1236
Step-by-step explanation:
Find the missing length indicated.
Answer:
hope it help
the last answer is 6
I showed you step by step. for any explanation write it in the comment
Determine whether AGHI and AJKL with the given vertices are similar. Use transformations to explain your reasoning.
G(-2, 3), H(4, 3), I(4, 0) and J(1, 0), K(6.-2), L(1, -2)
A resemblance While retaining shape, metamorphosis can alter both location and size.
What is the connection between transformations and similar figures?When the sides of two figures are proportionate and the accompanying angles are congruent, the figures are said to be comparable.
Get the two triangles to face in the same direction, or in the same orientation, to check if they resemble one another. You accomplish this by turning one shape so that it is in alignment with the other. A rotation is the name given to such a change.
Similarity refers to two figures that share the same shape but differ in size. A rigid motion and a rescaling make up a similarity transformation. To put it another way, a similarity transformation may change both location and size while maintaining shape.
Let the given points be G(-2, 3), H(4, 3), I(4, 0) and J(1, 0), K(6.-2), L(1, -2).
A resemblance While retaining shape, metamorphosis can alter both location and size.
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Answer:
not similar
Step-by-step explanation:
You want to know if ∆GHI ~ ∆JKL when they are defined by coordinates G(-2, 3), H(4, 3), I(4, 0) and J(1, 0), K(6.-2), L(1, -2).
Similar trianglesCorresponding angles of similar triangles are congruent, and corresponding sides are proportional.
Here, angle G is an acute angle less than 45°, while corresponding angle J is an acute angle greater than 45°. These corresponding angles in the similarity statement are not congruent, so the similarity statement is false.
__
Additional comment
Side ratios in ∆GHI are 3 : 6 : 3√5 = 1 : 2 : √5.
Side ratios in ∆JKL are 2 : 5 : √29.
For comparison purposes, we like to list them shortest to longest.
These ratios are different, so even if the order of the vertices were straightened out, the triangles still would not be similar. If the triangles had the same side length ratios, the vertex order for a proper similarity statement would be ∆GHI ~ ∆KLJ.
The quadrilateral below, JKLM, is a rhombus.
If MN=15 and JL=24, what is the length of JK ?
Note: Write your answer in simplest radical form. In the first blank put the coefficient in front of the V. And in the second blank, put the coefficient that is inside the v.
"* If there is no coefficient in front of the V, enter a 1 in the blank **
JK=
write each decimal as a fraction or mixed number in simplest form
1.-0.14
2.0.27
Write each decimal as a fraction or mixed number in simplest form
-0.14
= -14/100
= -7/50
_________________________
0.27
= 27/100
Consider the system of equations
4 x+4 y=-12
3 x-4 y=-23
Part A: Solve the system. Show your work.
Part B: Use the solution to your equation to find the value of x-y. Show your work.
x-y=___
The value of x and y is x = -5 and y = 2
x - y = -7
What is an equation ?
An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated by the symbol "equal."
The three main types of linear equations are the slope-intercept form, standard form, and point-slope form.
Solving the equation
4x + 4y = -12 ⇒(1)
3x - 4y = -23 ⇒(2)
eq (1)*3 eq (2)*4
12x + 12y = -36 ⇒ (3)
12x - 16y = -92 ⇒ (4)
Solving eq (3) and eq (4)
28 y = 56
y = 2
substituting the value of y in eq (1)
4x + 4(2) = -12
4x + 8 = -12
4x = -12 - 8
4x = -20
x = -5
x - y = -5 -2
= -7
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RECALL
Set 4: Given the center and a point on the circle.
Distance Formula
13. center. (9, 10),
point on circle: (7,4)
15. center: (2,-6),
point on circle: (1,10)
Midpoint Formula
14. center: (1.-5),
point on circle: (-7.-13)
16. center: (-2, 0),
point on circle: (-9,-4)
Distance is the measure from one point to another point. Given, any two points distance is [tex]\sqrt{(x1-x2)^{2} }+\sqrt{(y1-y2)^{2} }[/tex].
Define Midpoint.Midpoint is the mid-value of two points.
Midpoint = [ x₁+x₂/2 , y₁+y₂/2]
So, for the given centre (9, 10) and point on circle(7,4)
Centre = [tex]\sqrt{}[/tex](9-7)²+(10-4)²
= [tex]\sqrt{}[/tex]4+36
= 6.32
For the given centre (2,-6) and point on circle (1,10)
Centre = [tex]\sqrt{}[/tex](2-1)²+(-6-10)²
=[tex]\sqrt{}[/tex]1+256
=16.03
For given centre (1,-5) and point on circle(-7,-13)
Midpoint = [ 1-7/2 , -5-13/2]
= [-3, -9]
For given centre(-2,0) and point on circle(-9,-4)
Midpoint = [-2-9/2 , 0-4/2]
= [-5.5,-2]
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Given, center (9,10) and point on circle is (7,4) distance is 6.32. And center (2,-6) and point on circle (1,10) distance is 16.03.
Given center (1, -5) and point of circle(-7,-13) midpoint is (-3,-9). And center (-2,0) and point on circle (-9,-4) midpoint is (-5.5,-2).
What is Distance and midpoint?Distance is the measure from one point to another point. Given, any two points distance is -
[tex]\sqrt{x_1^2-x_2^2} +\sqrt{y_1^2-y_2^2}[/tex]
Midpoint is the mid-value of two points. Midpoint = [(x₁+x₂)/2, (y₁+y₂)/2]
So, for the given center (9, 10) and point on circle(7,4)
Center = (9-7)²+(10-4)²
= 4+36
= 6.32
For the given center (2,-6) and point on circle (1,10)
Center = (2-1)²+(-6-10)²
= 1+256
= 16.03
For given center (1,-5) and point on circle(-7,-13)
Midpoint = [ 1-7/2 , -5-13/2]
= [-3, -9]
For given center (-2,0) and point on circle(-9,-4)
Midpoint = [-2-9/2,0-4/2]
= [-5.5,-2]
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The quadrilateral ABCD is a parallelogram if pairs of consecutive angles are supplementary. Given the angle measures, prove that quadrilateral ABCD is a parallelogram by finding the value of x. ∠A = 120 − 2x ∠B = 70 + x ∠C = 105 − x2 ∠D = 40 + 4x
The value of x from the parallelogram ABCD is 10.
What is parallelogram?A parallelogram is a special kind of quadrilateral that is formed by parallel lines. The angle between the adjacent sides of a parallelogram may vary but the opposite sides need to be parallel for it to be a parallelogram. A quadrilateral will be a parallelogram if its opposite sides are parallel and congruent.
Given that, ∠A=120-2x, ∠B=70+x, ∠C=105-x² and ∠D=40+4x.
The quadrilateral ABCD is a parallelogram if pairs of consecutive angles are supplementary.
Here, ∠A and ∠D are consecutive angles
Now, 120-2x+40+4x=180
⇒ 160+2x=180
⇒ 2x=20
⇒ x=10
So, ∠A=120-2x=100, ∠B=70+x=80, ∠C=160-6x=100 and ∠D=40+4x=80
Therefore, the value of x is 10.
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"Your question is incomplete, probably the complete question/missing part is:"
The quadrilateral ABCD is a parallelogram if pairs of consecutive angles are supplementary. Given the angle measures, prove that quadrilateral ABCD is a parallelogram by finding the value of x. ∠A=120-2x, ∠B=70+x, ∠C=160-6x and ∠D=40+4x.
a crate contains bags of basmati rice Which weigh 5 lb each and bags of jasmine rice which weigh 3 pounds each there are 20 bags in the crate the total, weight not counting the crate itself is 76 pounds. How many bags of basmati rice are there?
There are 8 bags of basmati rice are there if a crate contains bags of basmati rice Which weigh 5 lb each and bags of jasmine rice.
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.
It is given that:
a crate contains bags of basmati rice Which weigh 5 lb each and bags of jasmine rice which weigh 3 pounds each.
The equation can be framed:
x + y = 20
5x + 3y = 76
After solving
By substitution method:
we get:
y = 12
x = 20 - 12 = 8
Thus, there are 8 bags of basmati rice are there if a crate contains bags of basmati rice Which weigh 5 lb each, and bags of jasmine rice.
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Sammy used his past health history and information about his doctor visits to create this table to compare health costs with and without insurance.
Probability of
Needing the
Service
100%
30%
18%
6%
Description of
Service
annual premium
single doctor visit
two doctor visits
medication
What is the expected value of each option?
Cost with
Insurance Plan
$1,580
$25
$50
$24
The expected value of health care without insurance is $
The expected value of health care with insurance is $
Cost Without
Insurance Plan
$0
$350
$700
$75
Answer:
W/O insurance: 235.50
with insurance: 1597.94
Step-by-step explanation:
Weighted Average:
annual premium 1 $1,580.00 $0
single doctor visit 0.3 $7.50 $105
two doctor visits 0.18 $9.00 $126
medication 0.06 $1.44 $5
$1,597.94 $235.50
is the point (-5, 1) on the line y=-2x-9
Answer:
No
Step-by-step explanation:
1 = 2(-5) - 9
1 = -10 - 9
1 ≠ -19, therefore that point does not lie on the line
Last year, the revenue for medical equipment companies had a mean of 80 million dollars with a standard deviation of 18 million. Find the percentage of companies with revenue between 73 million and 87 million dollars. Assume that the distribution is normal. Round your answer to the nearest hundredth.
The percentage of companies with revenue between 73 million and 87 million dollars is; 0.30
How to find the probability from a z-score?The formula for z-score is;
z = (x' - μ)/σ
where;
x' is sample mean
μ is population mean
σ is standard deviation
We are given;
Population mean; μ = 80 million
Population standard deviation; σ = 18 million
The percentage of companies with revenue between 73 million and 87 million dollars is expressed as;
P(73 < X < 87)
z₁ = (73 - 80)/18
z₁ = -0.389
z₂ = (87 - 80)/18
z₂ = 0.389
Using probability between two z-scores, we have;
P(-0.389 < Z < 0.389) ≈ 0.30
Read more about probability from z-score at; https://brainly.com/question/25638875
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