In a long division first we need to multiply the first term to be divided by 10 multiplied by as long as ciohers have the divisor 3095
so 3095 have 4 terms we have to multiply 43 by 10000, that equals 43x 10000= 430000
Which division problem does the diagram below best illustrate?
A diagram with 5 ovals containing 7 squares.
30 divided by 5 = 6
35 divided by 7 = 5
21 divided by 7 = 3
40 divided by 5 = 8
Question
Which division problem does the diagram below best illustrate?
A diagram with 5 ovals containing 7 squares.
30 divided by 5 = 6
35 divided by 7 = 5
21 divided by 7 = 3
40 divided by 5 = 8
Answer:
B
The division which correctly illustrates a diagram with 5 ovals containing 7 squares is: 35 divided by 7 = 5
What is division?"It is the process of breaking a number up into equal parts."
What is equation?"It is a statement which consists of equal symbol between two algebraic expressions."
For given example,
A diagram with 5 ovals containing 7 squares,
This means, there is an unknown number X such that:
⇒ X/7 = 5
Now, we can solve the equation for X.
⇒ X/7 = 5
⇒ (X/7) × 7= 5 × 7
⇒ X = 35
Therefore, the division which correctly illustrates a diagram with 5 ovals containing 7 squares is: 35 divided by 7 = 5
Learn more about division here:
https://brainly.com/question/11476141
#SPJ2
(SAT Prep) Find the value of x.
x 105 35
Angles in a triangle add up to 180 degrees
The value of x is 85 degrees
What is triangle?A triangle is a polygon which has three sides and three vertices. It is one of the normal shapes in geometry. A triangle with vertices A, B, and C has three sides & three angles A, B, C.
here, we have,
How to determine the value of x
The total sum of angles for a triangle is 180 degrees.
So, we have:
x + 35 + 60 = 180
Evaluate the sum
x + 95= 180
Subtract 95 from both sides
x = 85
Hence, the value of x is 85 degrees
Read more about triangles at:
brainly.com/question/17972372
#SPJ9
Full question: (SAT Prep) Find the value of x. 35° 60° X
x=?
solve the inequality and graph the solution.
4 |3x + 5| ≤ 16
The solution to the inequality is -3 ≤ x ≤ -1/3
Solving inequality with modulusGiven the inequality:
4|3x+5| ≤ 16
Let us simplify it by dividing both sides by 4 to get:
|3x+5| ≤ 4
Next, we can break the inequality into two cases, depending on whether 3x+5 is positive or negative:
First: 3x+5 ≥ 0
In this case, the inequality simplifies to:
3x+5 ≤ 4
Subtracting 5 from both sides, we get:
3x ≤ -1
Dividing by 3 (which is positive) gives:
x ≤ -1/3
Second: 3x+5 < 0
In this case, the inequality simplifies to:
-3x-5 ≤ 4
Adding 5 to both sides, we get:
-3x ≤ 9
Dividing by -3 (which is negative and requires us to flip the inequality), gives:
x ≥ -3
Therefore, the solution to the inequality is:
-3 ≤ x ≤ -1/3
The interval [-3,-1/3] is the solution set, and it includes all values of x between -3 and -1/3, including the endpoints.
Learn more about inequality here:
https://brainly.com/question/24372553
#SPJ1
27 solid iron spheres,each of radius x cm are melted to form a sphere with radius y cm ,find the ratio of x:y
Radius of 1 solid iron sphere =r
→ Volume =34πr3
→ Volume of 27 solid iron
spheres =27x34πr3
→ 34πr'3=27x34πr3
r'3=2πr3
→r'=3r
(ii) Surface area =4+πr2
SA r'=4πr'2
=4π(3r)2=36πr2
S'S=36πr24πr2=91=1:9
A circular table top has a radius of 85 cm.
A force of 630 N is applied to the whole table top.
Calculate the pressure in N/m2 to 4sf.
The area of a 2D form is the amount of space within its perimeter. The pressure on the table is 277.5574 N/m².
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
Given that the radius of the table is 85 centimetres. Therefore, the radius of the table in meter can be written as,
1 meter = 100 centimeter
85 centimeter = 0.85 meter
Now, the area of the table is,
Area of the table top = π × r²
= π × (0.85 meter)²
= 2.2698 meter²
Further, it is given that the force of 630 N is applied to the whole table top. Therefore, the pressure on the table can be written as,
Pressure = Force / Area
= 630N / 2.2698 meter²
= 277.5574 N/m²
Hence, the pressure on the table is 277.5574 N/m².
Learn more about the Area:
https://brainly.com/question/1631786
#SPJ5
Given this equation...
4x - 1 6
--------- = -----
3x + 7 5
What is the value of x in this
proportion?
Answer:
x=91
Step-by-step explanation:
Follow the steps in the image.
add 16 to both sides
subtract 3 from both sides
divide by 1x
Plug answer back into equation
-Hope this helped
Identify the steps for proving ADDC.
A. 1. BD BD by the reflexive property
2. AABD=ACBD by SAS
3. ADDC by CPCTC
B. 1. BD BD by definition of an isosceles triangle
2. AABD = ACBD by SAS
3. ADDC by CPCTC
C. 1. BD BD by the reflexive property
2. AABD = ACBD by CPCTC
3. ADDC by SAS
D. 1. BD BD by definition of an isosceles triangle
2. AABD = ACBD by CPCTC
3. ADDC by SAS
Kiesha wants to know what type of food wolves prefer to eat. To answer her question, she attaches a small video camera around a wolf's neck, allows the wolf to go about its normal activities for one week, and then makes notes when she later observes the video.
Kirk also wants to know what type of food wolves prefer to eat. However, Kirk chooses to perform a controlled experiment. In Kirk's experiment, he keeps a wolf in captivity, offers the wolf four different selections of food each day, and records which food item the wolf selected.
What is one disadvantage of Keisha's investigation
One disadvantage of Keisha's investigation is that Keisha never find out the exact food of the wolves.
What is investigation?Investigate to find lost items if any are reported. To accomplish this, investigate the circumstances behind its removal by looking for information, making inquiries, and gathering proof.
It is a drawback of Keisha's investigation that he lets the wolf roam free while he is investigating in order to learn about their diet; Keisha will never know the specific food of the wolves because there are many different animals in the forest that they can feed on; however, keeping the wolf in captivity, like Kirk, will enable him to learn about the wolf's preferred diet very easily.
Learn more about investigation on:
https://brainly.com/question/16653265
#SPJ1
I need help pretty pls
Answer:
x = 10.6
Step-by-step explanation:
Use trig functions
In this case you would use sin
so it would be sin(62) = x/12
multiply 12 on both sides to isolate the x and ur left with approximately 10.6
I'll give a brainliest PLZ HELPP
Answer:
This is your answer ☺️☺️☺️
Simplify the expression StartFraction a b Superscript 3 Baseline over a Superscript 4 Baseline b EndFraction plus left-parenthesis c Superscript 2 Baseline right-parenthesis Superscript 3 Baseline
The simplification of the expression ab³/a⁴b + (c²)³ is determined as b²/a³ + c⁶.
What is the simplification of the expression?The given expression is simplified as follows;
The given expression is written as;
ab³/a⁴b + (c²)³
To simplify the expression given above, we will divide the fraction with the common factor as follows;
From the numerator; ab³, we will factor out "ab"
From denominator; a⁴b, we will factor out "ab"
The resulting expression becomes;
ab³/a⁴b + (c²)³
= b²/a³ + c⁶
Note: for the power of c, we simplify by multiplying 2 and 3 = 6
Thus, the simplification of the expression ab³/a⁴b + (c²)³ is determined as b²/a³ + c⁶.
Learn more about simplification here: https://brainly.com/question/28008382
#SPJ1
If 30% of people that enter a comic store buy something on an average day how many people entered that comic store if 45 people made a purchase?
Answer:
150 people entered the comic store.
Step-by-step explanation:
First, divide 45 by 3 to turn the %30 into %10, a better number to get to a %100 easier. You get 15. Then multiply 15 by 10 to get to %100, which is 150.
Answer:
I hope this helps.
Step-by-step explanation:
which rectangle has side lenghths of 5 units and 4 units
Answer:
A(3,3), B(3,7), C(8,7), D(8,3)
Step-by-step explanation:
it was the correct answer hope this helps!!
A relationship is represented by the equation y = x - 12 which of the following tables best represent the equation
A table that best represent the equation include the following: H. table H.
How to determine the table that best represent the equation?In order to determine the table that best represent the equation, we would have to substitute each of the values of x (x-values) into the linear function and then evaluate as follows;
When the value of x = 1 in table F, the linear function is given by;
y = x - 12
y = 1 - 12
y = -11 (False).
When the value of x = 0 in table G, the linear function is given by;
y = x - 12
y = 0 - 12
y = -12 (True).
When the value of x = 2 in table G, the linear function is given by;
y = x - 12
y = 2 - 12
y = -10 (False).
When the value of x = 0 in table H, the linear function is given by;
y = x - 12
y = 2 - 12
y = -10 (True).
When the value of x = 4 in table H, the linear function is given by;
y = x - 12
y = 4 - 12
y = -8 (True).
When the value of x = 6 in table H, the linear function is given by;
y = x - 12
y = 6 - 12
y = -6 (True).
Read more on linear function here: brainly.com/question/27325295
#SPJ1
Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Given the graph of f(x) above, find the following and write your answers using interval notation (Separate multiple intervals with a comma):
(a) Domain: 7
(b) Range:
(c) Interval(s) on which f(x) is increasing:
(d) Interval(s) on which f(x) is decreasing:
(e) Interval(s) on which f(x) is constant:
(f) Local maxima: 3
(g) Local minima: -5
Answer:
a) [-9,8)
b) [-5,5]
c) (-4,0), (1,6)
d) [-9,-4), (6,8)
e) [0,1]
f) just the y-value: 5; as a point: (-8,5)
g) just the y-value: -5; as a point: (-4,-5)
Step-by-step explanation:
a) Domain is all of the x-values that are defined in the function. The smallest x-value in the graph is -9, and the largest is 8. And all values in between are defined (have corresponding y-values). But notice that there's an open dot on (8,0).
b) Range is found the same way as Domain, but with the y-values. The smallest y-value of this function is -5, and the largest is 5.
For c-e, notice where the graph changes direction and draw a vertical line from the x-axis through the turning point. These lines are the boundaries between intervals of increasing/decreasing/constant. You should have vertical lines at x=-4, x=0, x=1, and x=6.
c) Interval(s) on which f(x) is increasing: Reading the graph from Left To Right, between which vertical lines is the graph going up?
d) Interval(s) on which f(x) is decreasing: Reading the graph from Left To Right, between which vertical lines is the graph going down?
e) Interval(s) on which f(x) is constant: Reading the graph from Left To Right, between which vertical lines is the graph staying flat?
f) Look for the highest non-infinity point on the graph
g) Look for the lowest non-infinity point on the graph
Find the perioa
equation.
llowing
y = 2 cos(5x + 3) - 6
77
Period = [2]T
Give your answer in simplest form.
Answer:
In the equation y = 2 cos(5x + 3) - 6, we can ignore the coefficients 2 and -6 for the purposes of calculating the period because they do not change the period. They only change the amplitude (2) and vertical shift (-6) of the function.
The coefficient 5 in front of x inside the cosine function affects the period of the function. It is a horizontal compression/stretch of the graph of the function.
The period of the basic cosine function, y = cos(x), is 2π. When there is a coefficient (let's call it b) in front of x, such as y = cos(bx), the period becomes 2π/b.
So, in your case, b = 5, so the period T of the function y = 2 cos(5x + 3) - 6 is:
T = 2π / 5
This is the simplest form for the period of the given function.
1 hundred + 3 tenths =
Answer:
100 3/10, 1003/10, or 100.3
Step-by-step explanation:
Converting your word to numbers, we have the equation:
x = 100 + 3/10
We could automatically leave it as a mixed number. Or, if you want to get a bit more complicated, you could turn it into an improper fraction or decimal:
1003/10 or 100.3
Answer:100.3
Step-by-step explanation:
What is the circumference in centimeters of the circle? Use 3.14 for 7. Enter your answer in the box
24 cm
cm
Answer:
75.36
Step-by-step explanation:
24 cm x 3.14 = 75.36
Solve for X: 57 Degrees 79 Degrees 4x+4
Answer:
x equals to 10
Step-by-step explanation:
every triangle is 180 degrees, so 180-(79+57)= 44.
4x+4 (reverse it), 44-4= 40, 40÷4= 10. so x=10.
I hope you understand!!!
What is the sun of the interior angles of the polygon shown below
the sum of the interior angles of the polygon shown below is nine.
Step-by-step explanation:
you look inside the polygon and add the angles all together
You are interested in finding a 95% confidence interval for the mean number of visits for physical therapy patients. The data below show the number of visits for 11 randomly selected physical therapy patients. Round answers to 3 decimal places where possible.
13 5 10 11 26 20 18 18 24 23 5
a. To compute the confidence interval use a
t
Correct distribution.
b. With 95% confidence the population mean number of visits per physical therapy patient is between
and
visits.
c. If many groups of 11 randomly selected physical therapy patients are studied, then a different confidence interval would be produced from each group. About
percent of these confidence intervals will contain the true population mean number of visits per patient and about
percent will not contain the true population mean number of visits per patient.
For finding a 95% confidence interval:
a. To compute the confidence interval, use a t distribution with 10 degrees of freedom.b. With 95% confidence, the population mean number of visits per physical therapy patient is between 13.011 and 19.249 visits.c. About 95% of these confidence intervals will contain the true population mean number of visits per patient and about 5% will not contain the true population mean number of visits per patient.How to solve confidence interval?a) The sample mean is x = 16.13.
The sample standard deviation is s = 6.948.
The degrees of freedom are df = 10.
The critical value of t for a 95% confidence interval is t = 2.228.
The margin of error is ME = t × s/√n = 2.228(6.948)/√11 = 4.263.
The 95% confidence interval is x ± ME = 16.13 ± 4.263 = (11.867, 20.393).
b) The 95% confidence interval is (11.867, 20.393).
This means that we are 95% confident that the true population mean number of visits per physical therapy patient is between 11.867 and 20.393 visits.
c) This is because the confidence interval is a range of values that is likely to contain the true population mean. If many samples of the same size are taken from the same population, then about 95% of the confidence intervals from these samples will contain the true population mean.
Find out more on confidence interval here: https://brainly.com/question/15712887
#SPJ1
8 workers complete the construction of wall 6 days. How many workers are needed to complete the construction in 4 days?
Please solve this in the form of unitary method. As fast as possible.
Answer:
I came up with -12
Step-by-step explanation:
8 workers = 6 days to complete
x workers = 4 days faster to complete
6/4=1.5 days faster
1.5 x 8 = 12 workers needed to complete the wall in fours days
the triangular gable on the house is 8 feet tall. the area of the gable is 120 square feet. what is the length of the base of the gable?
The length of the base of the gable will be 240 feet.
What is the area?The amount of space occupied by a flat (2-D) surface or an object's form is known as its area. The term "Area" refers to the area that a form occupies on paper.
It is given that, the triangular gable on the house is 8 feet tall. the area of the gable is 120 square feet.
The area of the triangular gable is,
A = (1/2)×h×b
Where A is the area, h is height, and b is the base.
Substitute the given values,
120 = (1/2)×8×b
b=(120×2)/8
b=240
Thus, the length of the base of the gable will be 240 feet.
Learn more about the Area here,
https://brainly.com/question/27683633
#SPJ1
Precalculus question:
A polynomial f(x) and one or more of its zeros are given. (pictured below)
a) Find all the zeros. Write in the exact simplest form.
b) Factor f(x) as a product of linear factors
c) Solve the equation f(x)=0
Considering the polynomial f(x) = x^4 - 16x³ + 70x² + 48x - 219, we have that:
a) The zeros are: x = -1.995, x = 1.995, x = 8 - 3i, x = 8 + 3i.
b) The linear factors are: (x + 1.995)(x - 1.995)(x - 8 + 3i)(x - 8 - 3i).
c) The solutions to f(x) = 0 are: x = -1.995, x = 1.995, x = 8 - 3i, x = 8 + 3i.
How to obtain the zeros of the polynomial?The given zero of the polynomial is:
8 + 3i
Hence it's conjugate is also a zero, that is:
8 - 3i.
Thus the first two factors are given as follows:
(x - 8 - 3i)(x - 8 + 3i) = x² - 16x + 64 + 9i² = x² - 16x + 55.
Then the polynomial can be written as follows:
x^4 - 16x³ + 70x² + 48x - 219 = (ax² + bx + c)(x² - 16x + 55).
As a fourth order polynomial can be the product of two second order polynomials. Applying the distributive property to the right side of the equality, we have that:
x^4 - 16x³ + 70x² + 48x - 219 = ax^4 + x³(b - 16a) + x²(55a + c - 16b) + x(55b - 16c) + 55c.
Then the coefficients are given as follows:
a = 1.55c = -219 -> c = -219/55 -> c = -3.98.b - 16a = -16 -> b = 0.Hence the other two factors are given as follows:
x² - 3.98 = 0
x = ± sqrt(3.98)
x = ± 1.995.
The linear factors are:
(x - x')(x - x'')(x - x''')(x - x'''').
In which x', x'', x''' and x'''' are the roots.
The solutions to f(x) = 0 are the roots.
More can be learned about the zeros of a polynomial at https://brainly.com/question/19030198
#SPJ1
La taza anual capitalizable bimestral, que es equivalente al 24% anual capitalizable mensual es?
Answer:
Srry but i dont understrand
Step-by-step explanation:
Answer:
no se soy nuevo acaStep-by-step explanation:
Question is down below
Answer:
g(x) = -|x+12|
Step-by-step explanation:
the inequality 7-2/3 x
− 14x/ 3 i think this would be the answer
I have a rectangular prism 9 ft 15 ft by 8 feet I need to find the surface area and the volume
Answer:
Step-by-step explanation:
A=2(xy+xz+yz) where x,y,z are its dimensions
A=2(9(15)+9(8)+15(8))
A=2(135+72+120)
A=2(327)
A=654ft^2
V=xyz
V=9(15)8
V=1080ft^3
which values are solutions to the inequality below? check all that apply \( \sqrt{?} x \ \textgreater \ 9\)A.180b.82c.-100d.99e.32f.81
Taking the square of both sides gives
\((\sqrt[]{x})^2>9^2_{}\)\(x>81\)Therefore, from the choices given, we choose the values that are greater than 81..
Hence, the correct answers are
A. 180
B. 82
C. 99
just answer plz its 20 points
Answer:
x=14.5
Step-by-step explanation:
since we know the sum of a triangles interior angles equal 180, we can subtract 66 from 180
180-66=114
6x-8+2x+6=114 - combine like terms
8x-2=114 - add 2 to both sides
8x=116 - divide by 8
x=14.5
angle a= 79
angle n=35