The two numbers are -15 and -7.
We have,
To solve this problem, we need to find two numbers that multiply to 105 and add up to -22.
We can start by listing the factors of 105: 1, 3, 5, 7, 15, 21, 35, and 105.
Then, we can try adding pairs of factors to see if we get -22.
We have the system of equations:
xy = 105
x + y = -22
We can solve for one variable in terms of the other using the second equation:
y = -22 - x
Then, we can substitute this into the first equation:
x(-22 - x) = 105
Expanding and rearranging, we get:
x² + 22x + 105 = 0
Now, we can use the quadratic formula to solve for x:
x = (-22 ± √(22² - 4(1)(105))) / 2
x = (-22 ± 4) / 2
x = -15 or x = -7
Thus,
The two numbers are -15 and -7.
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what makes 3+7+2= +2true?
The equation 3+7+2=+2 is actually not true, but false.
Is the 3+7+2= +2true?The equation 3+7+2=+2 is actually not true, but false. This is because the sum of 3, 7, and 2 is 12, not 2.
In general, an equation is considered true if the expressions on both sides of the equal sign are equivalent in value. In this case, the expressions on the left-hand side (3+7+2) and the right-hand side (+2) are not equivalent, and therefore the equation is false.
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Taylor is buying grapes and organes at the grocey store she purchase 1/4lb of grapes for 3. 20 per pound and d 1/2lb of oranges for 2. 98 per pound how much will taylor pay for thr grapes and oranges?
Taylor will pay $1.60 for the grapes and $1.49 for the oranges, totaling $3.09 for both.
To calculate the cost of the grapes, we multiply the weight (1/4 lb) by the cost per pound ($3.20):
Grapes cost = (1/4) lb * $3.20/lb = $0.80.
Similarly, to calculate the cost of the oranges, we multiply the weight (1/2 lb) by the cost per pound ($2.98):
Oranges cost = (1/2) lb * $2.98/lb = $1.49.
To find the total amount Taylor will pay for the grapes and oranges, we add the individual costs together:
Total cost = Grapes cost + Oranges cost = $0.80 + $1.49 = $2.29.
Therefore, Taylor will pay $1.60 for the grapes and $1.49 for the oranges, totaling $3.09 for both.
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what does the coefficient used to assess the internal consistency of a measure represent?
The coefficient used to assess the internal consistency of a measure typically refers to Cronbach's alpha coefficient.
What does the coefficient used to assess the internal consistency of a measure represent?The coefficient used to assess the internal consistency of a measure typically refers to Cronbach's alpha coefficient. This coefficient is a statistic that quantifies the internal consistency reliability of a scale or measure, specifically for measures with multiple items or indicators that are intended to measure the same underlying construct.
The coefficient ranges between 0 and 1, with higher values indicating greater internal consistency. Cronbach's alpha measures the extent to which the items in a scale or measure correlate with each other. It assesses how well the items are measuring the same underlying construct or concept.
In other words, the coefficient represents the proportion of variance in the observed scores that can be attributed to the true score, rather than measurement error or other extraneous factors. It indicates the degree to which the items in the measure are interrelated or consistent with each other, with higher values suggesting stronger internal consistency.
Researchers often use Cronbach's alpha to assess the reliability of scales in various fields, such as psychology, education, and social sciences, to ensure that the measure is measuring the construct consistently and accurately.
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tre rolls two standard six-sided number cubes. how many ways can he roll a sum of 7?
There are 6 possible outcomes when rolling a single standard six-sided number cube: 1, 2, 3, 4, 5, or 6. When rolling two number cubes, the possible sums range from 2 (1+1) to 12 (6+6).
To find the number of ways to roll a sum of 7, we need to look at all the possible combinations of numbers on the two cubes that add up to 7. These are: 1+6, 2+5, 3+4, 4+3, 5+2, and 6+1. Therefore, there are 6 ways to roll a sum of 7 when rolling two standard six-sided number cubes.
To determine how many ways Tre can roll a sum of 7 using two standard six-sided number cubes, we'll consider the possible outcomes:
1. First cube shows 1, second cube shows 6 (1+6=7)
2. First cube shows 2, second cube shows 5 (2+5=7)
3. First cube shows 3, second cube shows 4 (3+4=7)
4. First cube shows 4, second cube shows 3 (4+3=7)
5. First cube shows 5, second cube shows 2 (5+2=7)
6. First cube shows 6, second cube shows 1 (6+1=7)
There are 6 different ways Tre can roll a sum of 7 using two standard six-sided number cubes.
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if KM is 6cm and ML is 4 cm, what is JL?
The measurement of the JL value is 6cm.
Given the measurement of the KM value = 6cm
The measurement of ML value = 4cm
The given figure is in the shape of a rectangle. In rectangle we know that the length and breadth is equal in both sides.
The property is in a rectangle the opposite sides which are parallel sides are equal. [the measurements of both sides are the same]
By using the above condition,
The measurement of JL value which is parallel to the KM value is also 6cm.
So, from the above analysis, we can conclude that the value of JL is 6cm.
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Given question is missing figure, I am attaching below,
Express 11.454545 as a ratio
Answer:
11:1
Step-by-step explanation:
Convert it into a fraction : 11 6/11
Multiply both the numerator and the denominator by 11 to get rid of the fraction part.
121/11
Simplify this by dividing both the numerator and the denominator by 11
11:1
Find the volume of a right circular cone that has a height of 5.9 in and a base with a
diameter of 11.2 in. Round your answer to the nearest tenth of a cubic inch.
The volume of the cone is V = 193.8 inches³
Given data ,
Let the volume of the cone be represented as V
Now , the height of cone h = 5.9 inches
And , diameter of cone = 11.2 inches
So , radius of cone r = 5.6 inches
where , Volume of Cone = ( 1/3 ) πr²h
V = ( 1/3 ) ( 3.14 ) ( 5.6 )² ( 5.9 )
V = 193.8 inches³
Hence , the volume is V = 193.8 inches³
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Determine whether the triangles are similar. If similar, state how (SA, SSS, or SAS), and write a similarity statement
The triangles are similar by the SAS similarity statement
Identifying the similar triangles in the figure.From the question, we have the following parameters that can be used in our computation:
The triangles in this figure are
TUV and TCD
These triangles are similar is because:
The triangles have similar corresponding sides and congruent angles
By definition, the SAS similarity statement states that
"If two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar"
This means that they are similar by the SAS similarity statement
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suppose you want to select two types of snacks and one drink in a coffee shop. there are 5 choices of snacks and 8 types of drinks to choose from. if you don't want to pick the same snack twice, how many different combination of 2 snacks and 1 drink could you have?
There are 160 different combinations of 2 snacks and 1 drink that can be chosen if you can't pick the same snack twice.
What is the combination?
Combinations are a way to count the number of ways to choose a subset of objects from a larger set, where the order of the objects does not matter.
Since you can't pick the same snack twice, the first snack can be chosen in 5 ways, and the second snack can be chosen in 4 ways (since there are only 4 remaining choices after choosing the first snack). The drink can be chosen in 8 ways.
Using the multiplication principle of counting, the total number of different combinations of 2 snacks and 1 drink is:
5 × 4 × 8 = 160
Therefore, there are 160 different combinations of 2 snacks and 1 drink that can be chosen if you can't pick the same snack twice.
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ain is pouring from a chute at a rate of 8 cubic feet per min and forms a conical pile whose altitude is always twice its radius. how fast is the altitude of the pile increasing at the instant when the pile is 6 ft high?
So the altitude of the pile is increasing at a rate of 8/(45π) feet per minute when the pile is 6 feet high.
Let's call the radius of the conical pile at any given time "r" and the altitude "h". We are given that the altitude is always twice the radius, so we can write:
h = 2r
We are also given that water is pouring from a chute into the pile at a rate of 8 cubic feet per minute. The volume of a cone is given by the formula V = (1/3)πr^2h, so the rate of change of the volume of the pile is:
dV/dt = (1/3)πr^2 dh/dt + (2/3)πrh^2 dr/dt
We want to find the rate at which the altitude is increasing, so we need to solve for dh/dt when h = 6. We can also find r when h = 6 by using the equation h = 2r:
6 = 2r
r = 3
Now we can substitute the values we know into the equation for dV/dt:
8 = (1/3)π(3^2) dh/dt + (2/3)π(3)(6)^2 dr/dt
Simplifying:
8 = 9π dh/dt + 72π dr/dt
We can use the fact that h = 2r to eliminate r from this equation. Taking the derivative of both sides with respect to time:
dh/dt = 2 dr/dt
Now we can substitute this into the equation for dV/dt:
8 = 9π (2 dr/dt) + 72π dr/dt
Simplifying:
8 = 90π dr/dt
Solving for dr/dt:
dr/dt = 8/(90π) = 4/(45π)
Finally, we can use the equation h = 2r to find dh/dt:
dh/dt = 2 dr/dt = 8/(45π)
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find the area of the shaded region to the nearest hundredth. use 3.14 as an approximation for pi.
The area of the shaded region ( sector ) rounded to the nearest hundredth is 38.47 cm².
What is the area sector?A sector of a circle is simply part of a circle made up of an arc and two radii.
The area of a sector of a circle can be expressed as:
A = (θ/360º) × πr²
Where θ is the sector angle in degrees, and R is the radius of the circle.
From the diagram:
The sector angle θ = 90 degrees
Radius r = 7cm
Plug these values into the above formula and solve for the area.
Area = (θ/360º) × πr²
Area = (90/360º) × 3.14 × (7 cm)²
Area = (90/360º) × 3.14 × 49 cm²
Area = 38.465 cm²
Area = 38.47 cm²
Therefore, the area of the sector is 38.47 cm².
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if f(x)=x^3-12x^2+39x-28 and f (7)=0, then find all of the zeros of f(x) algebraically
All the zeros of the polynomial f(x) = x³ - 12x² + 39x - 28 will be 7, 1, and 4.
Given that:
f(x) = x³ - 12x² + 39x - 28
A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.
⇒ (x³ - 12x² + 39x - 28) / (x - 7)
⇒ x² - 5x + 4
⇒ x² - 4x - x + 4
⇒ x(x - 4) -1(x - 4)
⇒ (x - 4)(x - 1)
The other roots are given as,
(x - 1)(x - 4) = 0
x = 1, 4
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Use the formulas to find the volume of each figure. Show your work.
The volume of the cone is 7225.66 m³ and the volume of the hemisphere is 209.44 cubic feet.
From the general formula of the volume of the cone,
Volume = πr²h
in the given case,
Radius (r) = 10 m
Height (h) = 23 m
Thus, Volume = π*10²*23
Volume = 7225.66 m³
The formula for the volume of a hemisphere is:
V = (2/3) * π * r³
where π is pi (approximately 3.14159), and r is the radius of the hemisphere.
Substituting the given value of r = 10 ft, we get:
V = (2/3) * π * (10 ft)³
= (2/3) * π * 1000 ft³
= (2/3) * 314.16 ft³
≈ 209.44 ft³
Therefore, the volume of the hemisphere is approximately 209.44 cubic feet.
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Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=25(1.071)^x
The given exponential function will grow at 7.1%
We have to given that;
The exponential function is,
⇒ y = 25 (1.071)ˣ
Now, For identify whether the change represents growth or decay, and to determine the percentage rate of increase or decrease.
Since, We have,
⇒ y = 25 (1.071)ˣ
Here, The equation represents exponential growth because the growth factor is 1.071 which is greater than 1.
Since, The general form equation is:
⇒ y(x) = a(1 + r)ˣ
such that r is the growth percent.
Hence,
⇒ 1 + r = 1.071
⇒ r = 0.071 = 7.1%
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3. Tyler says because all parallelograms can be classified as trapezoids, the diagonals of all trapezoids
must intersect at their midpoints. Is he correct? Explain your reasoning with a picture and words.
No, Tyler is wrong.
Given that according to Tyler all parallelograms can be classified as trapezoids, the diagonals of all trapezoids must intersect at their midpoints.
A parallelogram is a quadrilateral in which the opposite sides are parallel and equal.
Parallelograms are classified into three main types: square, rectangle, and rhombus, and each of them has its own unique properties.
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.
Tyler's comment on trapezoids is totally wrong, because no trapezoid is considering as a parallelogram.
However, a trapezoid has one pair of parallel sides, but to be a parallelogram it should have both pairs of sides equal and parallel like a rectangle.
Hence Tyler is wrong.
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15 Points PLEASE HELP ME OUT.
Algebra 1 honors
Answer: g(x)=(x-4)^(2)-5
Step-by-step explanation:
a physician uses two labs to measure patient cholesterol levels and believes that lab 1 (1) may be reporting lower cholesterol levels, on average, than lab 2 (2). to test their theory, the physician collects pairs of blood samples from 35 patients and sends a sample from each patient to lab 1 and sends the other sample from each patient to lab 2. from the 35 pairs of blood samples, the mean and standard deviation of differences in cholesterol levels are calculated. is there evidence to confirm that lab 1 is reporting lower cholesterol levels, on average, than lab 2? flag question: question 9 question 9 5 pts which type of test should be used to determine if lab 1 is reporting lower cholesterol levels, on average, than lab 2? group of answer choices paired t test for means paired z test for means z test for means sign rank test t test for proportions t test for means z test for proportions
To determine if lab 1 is reporting lower cholesterol levels, on average, than lab 2, a paired t-test for means should be used.
This is because the physician collected pairs of blood samples from each patient and wants to compare the means of the two labs' cholesterol level measurements. The paired t-test for means is appropriate for comparing the means of two related samples, in this case, the blood samples from each patient tested by lab 1 and lab 2.
A paired t-test for means should be used to determine if lab 1 is reporting lower cholesterol levels, on average, than lab 2. This test is appropriate because the data consists of paired samples from the same patients, and the goal is to compare the means of the differences between the two labs.
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Question 5 of 10
You find a mutual fund that offers approximately 5% APR compounded
monthly. You will invest enough each month so that you will have $1000 at
the end of the year. How much money will you have invested in total after 1
year?
OA. $1053.65
OB. $977.28
OC. $912.43
D. $753.90
After 1 year, you have invested $977.28. The Option B
How much money will you have invested?To find the total amount, we have to determine monthly investment required.
Let's represent monthly investment as M.
After 12 months of compounding, the final amount will be $1000. We will use formula for compound interest [tex]A = P(1 + r/n)^{nt}[/tex]
To solve for monthly investment (M), we rearrange the formula as follows: [tex]A = M * ((1 + r/n)^{nt} - 1) / (r/n)[/tex]
[tex]1000 = M * ((1 + 0.05/12)^{12*1} - 1) / (0.05/12)\\M = $1000 * (0.05/12) / ((1 + 0.05/12)^{12*1} - 1)\\M = $81.4408151 \\M = $81.44[/tex]
To get total amount invested after 1 year, we will multiply investment by 12 months:
= $81.44 * 12
= $977.28.
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During a sale, a store offered a 20% discount on a tablet computer that originally sold for $710. After the sale, the discounted price of the tablet computer was marked up by 20%. To the nearest whole number, what percent of the original price was the price after markup?
Answer:
Justin is packing a container with books the dimension of each book are 8 in by 6 in by 2 in the dimensions of the container are 16 in by 12 in by 12 in all of the books in the container are rectangular prisms how many books can fit in the container if the books are packed so that there is no unused space in the container
Customers at an ice-cream shop took a survey. The results showed that 144 customers rated the shop as being "very satisfactory." This number represented 45% of the total number of customers who took the survey. What was the total number of customers who took the survey?
Answer:
we will use the cross multiplication method.
144 is 45%
(?). is 100%
so (144×100)/45 = 320
so there were total 320 costumers
The morris family drove 368.5 miles in 5.5 hours. Determine their rate of speed
Answer:
67 mph
Step-by-step explanation
A method you'd want to remember is r = d/t, or rate equals distance divided by time.
Since the Morris family drove 368.5 miles in 5.5 hours, you'd divide the distance by 5.5.
(368.5/5.5) = 67 miles per hour.
So their average rate is 67 miles per hour.
Please help asap i need it quick
The value of x is 21.88
What is trigonometric ratio?The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.
Sin(tetha) = opp/hyp
cos(tetha) = adj/hyp
tan(tetha) = opp/adj
angle A is 27.2°, the opposite angle is 10 and the hypotenuse is x
therefore,
sin27.2 = 10/x
x( sin27.2) = 10
x = 10/sin27.2
x = 10/0.457
x = 21.88
Therefore the value of x is 21.88
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Find the perimeter 5cm 7cm 8cm
Answer:
20cm.
Step-by-step explanation:
You have to add all the sides so 5+7+8=20 cm. I hope this helps!
Step-by-step explanation:
Perimeter is just the sum of the side lengths
(5 + 7 + 8) cm = 20 cm
For the system shown, what is the value of x + 2y?
x + 1/3y = 0
6x - 2y = 6
Answer:
Step-by-step explanation:
x + [tex]\frac{y}{3}[/tex] = 0 ------ ( 1 )
6x - 2y = 6 ------ ( 2 )
6x + 2y = 0 ----- ( 3 )
6x - 2y = 6 ------ ( 4 )
Adding ( 3 ) and ( 4 ) ; we get ,
12x = 6
x = 1/2
putting value of x in (3) , we get ,
3 + 2y = 0
2y = -3
x + 2y = (1/2) - 3
= - 5/2
Names of TV shows taped in New York are an example of which type of data? Answer a. Qualitative b. Statistic c. Quantitative d. Parameter
Option (A) Names of TV shows taped in New York are an example of qualitative data. Qualitative data is descriptive in nature and does not involve numerical values or measurements.
It deals with qualities or attributes that cannot be expressed numerically. In this case, the names of TV shows are characteristics that describe the nature of the data. Quantitative data, on the other hand, is numerical data that can be measured and expressed in numbers. A parameter is a measurable factor or variable that can be used to define a system, while statistics is a branch of mathematics that deals with data collection, analysis, and interpretation. In conclusion, since the names of TV shows are descriptive in nature and do not involve numerical values, they are an example of qualitative data.
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Find F, Write your answer as an integer or as a decimal rounded to the nearest tenth.
The value of the length f is 6. 7
How to determine the valueTo determine the value, we have to know the different trigonometric identities.
These trigonometric identities are enumerated as;
sinecosinetangentcotangentsecantcosecantTo determine the length of f
Let us use the tangent identity, we have that;
tan θ = opposite/adjacent
substitute the values, we have;
tan 24 = f/15
Multiply the values, we get;
f = 0. 4452(15)
multiply the values
f = 6. 7
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in the context of anova, what source of variance is presumed to explain between treatments variance?
By identifying and isolating this effect, ANOVA provides a powerful statistical tool for determining whether there are significant differences between the means of the treatment groups being studied.
The source of variance that is presumed to explain between treatments variance in ANOVA is the treatment effect.
This effect represents the differences between the means of the treatment groups being compared. It is the primary factor being studied in ANOVA, as it is used to determine whether there are significant differences between the means of the treatment groups.
In ANOVA, the between treatments variance is explained by the treatment effect, which represents the differences between the means of the treatment groups being compared. This effect is the primary factor being studied in ANOVA, as it is used to determine whether there are significant differences between the means of the treatment groups. By isolating this effect, ANOVA allows researchers to determine whether any observed differences between the treatment groups are statistically significant or merely due to chance.
The treatment effect is the source of variance presumed to explain between treatments variance in ANOVA. By identifying and isolating this effect, ANOVA provides a powerful statistical tool for determining whether there are significant differences between the means of the treatment groups being studied.
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If two forces pull at right angles to each other, the resultant force can
be represented by the diagonal of a rectangle, as shown at the right. This
diagonal is a hypotenuse of a right triangle. A 50-lb force and a 120-lb force
combine for a resultant force of 130 lb. Are the forces pulling at right angles to
each other? Explain.
The forces are pulling at right angles to each other by using pythagorean theorem
To determine if the forces are pulling at right angles to each other, we can use the Pythagorean theorem
In a right triangle, the square of the length of the hypotenuse (the diagonal) is equal to the sum of the squares of the lengths of the other two sides.
In this case, we have a resultant force of 130 lb, which represents the hypotenuse of the right triangle.
The other two forces are 50 lb and 120 lb.
Using the Pythagorean theorem, we can calculate:
(50 lb)² + (120 lb)² = (130 lb)²
2500 lb² + 14400 lb²= 16900 lb²
16900 lb² = 16900 lb²
The equation is true, which means the forces satisfy the Pythagorean theorem.
Therefore, the forces are pulling at right angles to each other.
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Hello, I’m in high school, 10th grade. And we’re learning probability for our last unit. We have a test for it on Friday, and I really need help. Can someone please help me out with this problem? I don’t understand it, and this assignment is already overdue. Please don’t troll, or I will report you. I will be giving you a good amount of brainly points.
Answer:
I can tell you the steps to find the answer.
step.1 calculate total number of squares in the given figure.
step.2 calculate total number of shaded squares.
step.3 to calculate the probability of the given event we will use P(E) = favorable outcomes / total outcomes.
Please I need help now
Answer:
first one is 68,328
Step-by-step explanation:
because if one liter rounded to a gallon is 4 then you gotta multiply 94.9 times 4 then multiply that by 180 us gallons then theres your answer
