Answer:
Solution given:
5(9x-8)=4(x+2)
45x-40=4x+8
45x-4x=40+8
41x=48
x=[tex] \frac{48}{41} [/tex]
Gabriella is not correct:
she has done in distribution
5(9x-8)=4(x+2)
45x-40=4x+8 not 45x-8=4x+2.
No, Gabriela is not solving correctly because her second step is wrong.
What is a fraction?In a fraction the upper part is known as numerator and the lower part is known as denominator.
How to solve the problem?The problem is as under
(9x-8)/4=(x+2)/5
The above problem is solved as
5(9x-8)=4(x+2)
45x-40=4x+2
41x=42
x=42/41
Hence the value of x is 42/41 therefore the solution of Gabriella is wrong.
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Please ASAP please
Answer:
A)3.125hr
B)53.325mi
Step-by-step explanation:
speed=distance/time
an hour and 15min=1.25hr
32/1.25=25.6mi/hr
80/25.6=3.125hr
B)
2hr and 5min=2+5/60=2.083hr
2.083x25.6=53.325mile
A line that passes through points (x, 4) and (6, -1) has a slope of 5/6. What value of x will yield the given slope?
A: x = -12
B: x = 0
C: x = -6
D: x = 12
If two angles are supplementary and one angle is xº what is the measure of the other angle?
Answer:
Supplementary angles are equal to 180 so whatever number is on one angle the number subract that number with 180 and then you have answer for x
Step-by-step explanation:
Estimate the sum 11 3/8 + 9 7/10 + 21 1/4 by rounding each mixed number to the nearest whole number. Then find the exact sum
Which words best fill in the blank indicate a shift in setting?
Answer:
4.upon
Step-by-step explanation:
Find the mode 9,10,15,17,15,14,37,45,42,13
answer:
15
step-by-step explanation:
9, 10, 15, 17, 15, 14, 37, 45, 42, 13
mode means the number that appears the mostin the set of numbers, 15 appears twice, which the others appears only onceThere are 3 red, 5 green, 7 blue, 1 black and 4 yellow marbles in a bag. Once a marble is selected, it is not replaced. Find the probability of selecting a green marble, then a red marble.
Answer:
Step-by-step explanation:
Initial condition:
3 red
2 blue
5 green
2/10 times 5/9=2/9 times 5/10 or 1/2 = 2/9 times 1/2=1/9
hope this helps have a good day too.
NEED HELP ASAP WILL GIVE BRAINLIEST REAL ANSWERS ONLY PLZ
Answer:
c) [tex]\frac{x-2}{x+6}[/tex]
Step-by-step explanation:
When given that function (f) is the following,
[tex]f(x)=\frac{x+2}{x^2+4x-12}[/tex]
The wisest move to first make is to factor the expression, factoring is the process by which one rewrites a quadratic expression as the product of two linear expressions,
[tex]f(x)=\frac{x+12}{(x+6)(x-2)}[/tex]
If is given that function (g) is the following,
[tex]g(x)=\frac{4x^2-16x+16}{4x+48}[/tex]
Then one should also factor the expression,
[tex]g(x)=\frac{4(x-2)^2}{4(x+12)}[/tex]
One is asked to find the following,
[tex]f(x)*g(x)[/tex]
To do this operation, one must multiply the two functions together. It is easiest to do so when the functions are in factored form,
[tex]f(x)*g(x)[/tex]
Substitute,
[tex](\frac{x+12}{(x+6)(x-2)})(\frac{4(x-2)^2}{4(x+12)})[/tex]
Simplify, cross out like terms in the numerator and denominator,
[tex]\frac{x-2}{x+6}[/tex]
line segment AB is a directed segment with endpoints A(2,2) and B(14,14). In two or more complete sentences, explain how you would verify that Point X, with a coordinate of (6,6), divides line segment AB in a 1:2 ratio?
Answer: Section formula
Step-by-step explanation:
Given
The line segment AB with endpoints [tex]A(2,2)[/tex] and [tex]B(14,14)[/tex] is divided by a point X in the ratio 1:2
To verify that X divides the line segment in the ratio 1:2, we will use section formula. Section formula tells the coordinates of the point which divide the line segment in the certain ratio or vice-versa.
We will assume that X divides AB in k:1 and insert the values in the section formula. If the ratio k:1 comes out to be 1:2, then it verifies the claim.
Using Cavalieri's Principle, what is the general formula for the volume of a cone?
Answer:
The volume for a cone and pyramid are the same, V = 1/3 Bh where B is the area of the base.
Step-by-step explanation:
So even though the base is a different shape, as long as the areas and heights are the same, they will have the same volume.
If f(x) = 3-2x and g(x) = 1/x+5 , what is the value of (f/g) (8)
Answer: [tex]-\frac{104}{41}[/tex]
Step-by-step explanation:
[tex]f(8)=3-2(8)=-13\\\\g(8)=\frac{1}{8}+5=\frac{41}{8}\\\\\implies \left(\frac{f}{g} \right)(8)=\frac{-13}{41/8}=-\frac{104}{41}[/tex]
Simplify this please.
Answer:
The answer is in the picture I couldn't type it sorry.
Step-by-step explanation:
Suppose that the store manager of a small rural pharmacy is doing a linear regression of daily sales of over-the-counter (OTC) decongestant nasal sprays on forecasted pigweed pollen count. He would like to determine if he can use a straight ine equation to predict OTC decongestant nasal spray sales from the allergy forecast for pigweed pollen. The store manager records the data for five random days. The pollen forecast is for pigweed only and is given in parts per square meter (ppm )2
Pollen forecast OTC decongestant sales (dollars)
14 $101
19 $89
13 $48
6 $21
9 $47
The store manager calculates the regression equation for the data as 5.514x-6.073.
Determine the standard error of the slope of the regression line, SEb, for the data. Give your answer precise to at least three decimal places SE=______.
Answer:
3.83
Step-by-step explanation:
Mean of x = Σx / n
Mean of x = (14 + 19 + 13 + 6 + 9) / 5 = 12.2
Sum of square (SS) :
(14-12.2)^2 + (19-12.2)^2 + (13-12.2)^2 + (6-12.2)^2 + (9-12.2)^2 = 98.8
Mean of y = Σy / n
Mean of y = (101 + 89 + 48 + 21 + 47) / 5 = 61.2
Σ(y - ybar)² = (101-61.2)^2 + (89-61.2)^2 + (48-61.2)^2 + (21-61.2)^2 + (47-61.2)^2 = 4348.8
df = n - 2 = 5 - 2 = 3
Σ(y - ybar)² / df = 4348.8 / 3 = 1449.6
√(Σ(y - ybar)² / df) = √1449.6 = 38.074
Standard Error = √(Σ(y - ybar)² / df) / √SS
Standard Error = 38.074 / √98.8
Standard Error = 3.83
A line passes through the point (2,-5) and is perpendicular to the line with the equation y=1/
5x+5 what’s the equation of the line
Answer:
y = –5x + 5
Step-by-step explanation:
Struggling with these last two. Thanks so much!!
Answer:
1. C
2. D
Step-by-step explanation:
1. first find the slope by using the formula (y2-y1)/(x2-x1). We need to find the equation for CE so use points C (0, 1) and E (5, 5). (5-1)/(5-0) = 4/5, which is the slope. from there u can tell that the answer is the third choice, which let's say is C, because the y intercept of the line is 1.
2. Do the same thing except with points A (-5, 1) and D (0, 6). (6-1)/(0-(-5)) = 1
The y intercept is 6 because that is where the line intersects the y axis, or where x is 0.
so the equation is y=x+6, which is just the last option, let's say D, but just rearranged
The voltage, V, in an electric circuit is held constant, the current I, is inversely proportional to the resistance, R. If the current is 120mA (milliampere) when resistance is 5 ohms, find the current when the ersistance is 15 ohms.
Answer:
70 amps
Step-by-step explanation:
The current I is inversely proportional to the resistance R
I=k/R (k is the constant of proportionality)
A) I=210 amperes
R=4 ohms
I=k/R
k=I×R
k=210×4=840
B) R=12 ohms
k=840
I=k/R
I=840/12=70 amperes
The current will be 40 mA when the resistance is 15 ohms.
What is Ohms law?Ohms law says that the current running through the conductor is directly proportional to the potential difference across its extremities as long as the temperature and other physical conditions are constant.
Ohms law formula is -
V=IR, Where
Voltage is V and is measured in Volts,
The current flowing through the conductor is I and it represented in amperes and the resistance is R and is measured in ohms.
Given that, the voltage, V, in an electric circuit is held constant, If the current is 120mA when resistance is 5 ohms,
120 mA = 0.12 A
Therefore,
V = IR
V = 0.12 × 5
V = 0.6 volts
Now, when the resistance is 15 ohms, the current will be =
0.6 = I × 15
I = 0.6 / 15
I = 0.04 A
I = 40 mA
Hence, the current will be 40 mA when the resistance is 15 ohms.
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Determine whether the following study is an observational study or an experiment. If the study is an experiment, identify the control and treatment groups, and discuss whether single- or double-blinding is necessary. If the study is observational, state whether it is a case-control study, and if so, identify the cases and controls.
In a study of the effects of magnets on back pain, some participants were treated with magnets while others were given nonmagnetic objects with a similar appearance. The magnets did not appear to be effective in treating back pain. Choose the correct answer below.
A. Experiment, the treatment group is patients that used the magnets and the control group is patients that received the placebo; double blind
B. Observational study; case control; the cases are the patients that received magnets, the controls are the patients that received placebos
C. Observational study; not case-control
D. Experiment, the treatment group is all patients and the control group is patients that received the magnets; single blind
Answer:
A. whether a woman took hormones.
B. whether to woman in the study had a heart attack.
D. access to health care
Step-by-step explanation:
The study conducted to observe the menopausal woman must be supported with their health history. Some woman may have menopause at an early age while other go towards this at a later age. This can be due to smoking, hormone intake, severe diseases like heart attack or cancer and their routine health checkup details. There variables must be observed and included in experiment to reach a conclusion.
The Sine Function
The average number of customers per day at a home improvement store is given in the following table. The sine regression equation was found to be y = 29.882sin (0.887 x 1.271) + 85.635, where x represents the day where 1 = Sun of the week, 7 = Sat of the first week, 8 = Sun of the second week, and 14 = Sat of the second week. Use this model to predict the average number of customers on Tuesday. Round to the nearest customer.
a. 70
b. 67
c. 71
d. 64
Please select the best answer from choices provided
Answer:
D. 64
Step-by-step explanation:
I calculated it logically
HELP PLEASE
i think i’m correct but i don’t know the answer for the last one at the bottom!!!
Answer:
7.07
Step-by-step explanation:
Why is 5992 divisible by 6
Answer:
Because its 9987 * 6
Step-by-step explanation:
Well, you could use simple math.
6:
1,6
2,3
I'm sorry if this is what you weren't looking for.
Help me please, I need this
321,300,0
Multiply 20x17x15x18x35
20×17= 340
5×18= 90
340+90= 430
answer 430 km
i hope this helps ^^
Which inequalities have the solution set graphed on the number line? Select two options. A number line going from negative 6 to positive 2. An open circle is at negative 4. Everything to the left of the line is shaded. x less-than negative 4 Negative 4 less-than x Negative 4 less-than-or-equal-to x Negative 4 greater-than x x greater-than negative 4
Answer:
[tex]x < -4[/tex]
[tex]-4 > x[/tex]
Step-by-step explanation:
Given
Description of number line
Range: -6 to 2
Open circle on -4
Left shaded
Required
Select the number line
From the question, we understand that the left side of the number line is shaded.
This means that the inequality is [tex]\le[/tex] or [tex]<[/tex]
Also, the open circle on -4 means that we discard [tex]\le[/tex].
So, the inequality is:
[tex]x < -4[/tex]
The opposite of the above inequality is:
[tex]-4 > x[/tex]
Answer:
A, D.
Step-by-step explanation:
good luck with edge :)
what is 4 2/5 - 1 1/4 how would you get the answer
Step 1 [tex]4\frac{2}{5}-1\frac{1}{4}[/tex]
Step 2 [tex]4\frac{2*4}{5*4} - 1 \frac{1*5}{4*5}[/tex]
Step 3 [tex]4 \frac{8}{20} - 1 \frac{4}{20}[/tex]
Step 4a [tex]4 - 1 = 3[/tex]
Step 4b [tex]\frac{8}{20} - \frac{4}{20} = \frac{4:4}{20:4} = \frac{1}{5}[/tex]
Step 5 (final answer) [tex]3\frac{1}{5}[/tex]
Write an inequality for the graph
Help, I need this as quick as possible
Answer:
multiply the top number by 4 also and what ever answer you get by doing 24×4 place that number over 100 and that number will be your percentage
I need this in 1 min
Answer: 12
Step-by-step explanation:
Answer:
-18
Step-by-step explanation:
Opps I'm sorry I did that wrong. Im so sorry
help im giving brainliest to the person who helps me with both questions! :)
Answer:
1.)C
2.A
Step-by-step explanation:
how do i find parabola from a figure ( process )
Step-by-step explanation:
The graph of a quadratic equation in two variables (y = ax^2 + bx + c ) is called a parabola. The following graphs are two typical parabolas their x-intercepts are marked by red dots, their y-intercepts are marked by a pink dot, and the vertex of each parabola is marked by a green dot: (Given in attachment for diagram)
We say that the first parabola opens upwards (is a U shape) and the second parabola opens downwards (is an upside down U shape). In order to graph a parabola we need to find its intercepts, vertex, and which way it opens.
Given y = ax^2 + bx + c , we have to go through the following steps to find the points and shape of any parabola:
Label a, b, and c.
Decide the direction of the paraola:
If a > 0 (positive) then the parabola opens upward.
If a < 0 (negative) then the parabola opens downward.
Find the x-intercepts:
Notice that the x-intercepts of any graph are points on the x-axis and therefore have y-coordinate 0. We can find these points by plugging 0 in for y and solving the resulting quadratic equation (0 = ax^2 + bx + c). If the equation factors we can find the points easily, but we may have to use the quadratic formula in some cases. If the solutions are imaginary, that means that the parabola has no x-intercepts (is strictly above or below the x-axis and never crosses it). If the solutions are real, but irrational (radicals) then we need to approximate their values and plot them.
Find the y-intercept:
The y-intercept of any graph is a point on the y-axis and therefore has x-coordinate 0. We can use this fact to find the y-intercepts by simply plugging 0 for x in the original equation and simplifying. Notice that if we plug in 0 for x we get: y = a(0)2 + b(0) + c or y = c. So the y-intercept of any parabola is always at (0,c).
Find the vertex (h,k):
To find the x-coordinate for the vertex we use the following formula:
To find the y-coordinate for the vertex we plug in h in the original equation:
k = a(h)2 + b(h) + c
Plot the points and graph the parabola
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Bob makes three different silverware - spoons, forks and knives. Each unit (dozen) of spoon gives him a profit of $9, forks of $20 and knives of $17.50. He has 183 hours of machine time, 250 hours of labor and 185 pounds of steel. It takes him 4 hours of machine time, 4 hours of labor time and 3 pounds of steels to make one unit of spoons. Each unit of forks take 4 hours of machine time, 9 hours of labor time and 2 pounds of steel, while knives take 5 hours of machine time, 5 hours of labor and 4 pounds of steel. It is also found that he should make at least 16 units of forks in the process. The solution is
x1 = ________
x2 = ________
x3 = ________
with an objective value of ________
The resources that are used up are________
If it was decided that as many as 20 units of forks could be made instead of 16, how much would profit increase?
Answer:
Solution is:
z (max) = 687.5
x₁ = 0
x₂ = 16
x₃ = 21
Step-by-step explanation:
From the problem statement we have:
Resources: machine time ( 183 h) labor (250 h) steel 185 (pounds)
Unit
Spoons 4 4 3
forks 4 9 2
knives5 5 5 4
Profit $ 9 20 17.5
Objective function z = 9*x₁ + 20*x₂ + 17.5 *x₃ to maximize
Subject to:
Availability of machine time : 183 h
4*x₁ + 4*x₂ + 5*x₃ ≤ 183
Availability of labor : 250 h
4*x₁ + 9*x₂ + 5*x₃ ≤ 250
Availability of steel : 185 pounds
3*x₁ + 2*x₂ + 4*x₃ ≤ 185
Requirement:
x₂ ≥ 16
General constraints:
x₁ ≥ 0 x₃ ≥ 0 all integers
After 6 iteration the solution using AtomZmath on-line solver
z (max) = 687.5
x₁ = 0
x₂ = 16
x₃ = 21
Resources used:
Machine time: 16* 4 + 21*5 = 64 + 105 = 169
remains 183 - 169 = 14 h
Labor: 16*9 + 21* 5 = 144 + 105 = 249
remains 250 - 249 = 1 h
Steel : 16*2 + 21*4 = 32 + 84 = 116
remains 185 - 116 = 69 pounds.
If it is decided that 20 units of forks are to be made then
we will need 4*4 = 16 h of machine time
9*4 = 36 h of labor
2*4 = 8 pounds of steel
We can get that from abandom to make one unit of x₃ ??
No because as we said we need 36 hours of labor ( we still have 1 we need 35 more hours ) if we make 20 x₃ insted of 21 we get only 5 hours.
z we got is maximum
What is the end behavior of this radical? f(x) = 4 square root x - 6
Answer:
I think you can answer it with a chart, I guess, of course I'm not sure♀️