Step-by-step explanation:
5(x + 7) = 15
x+7=3
x=-4!!!!!!
Answer:
x = -4
Step-by-step explanation:
Solve for x
5 ( x + 7 ) = 15Divide each side by 5
5( x + 7 ) ÷ 5 = 15 ÷ 5x + 7 = 3subtract 7 from both side
x + 7- 7 = 3 - 7x = -4Which function is continuous across its domain?
Answer:
B.
Step-by-step explanation:
a function is continuous, if the functional values are the same at the "connection" points of the various segments (and the segments themselves are continuous).
"continuous" simply means that the graph of the function is a continuous line without any "rips". it can have corners and such, but no "interruptions".
specifically it means : for every possible y value in the defined range of the function there is an x value that causes this y.
all defined segments are continuous functions.
so, let's look at
A. the first connection point is x=-2.
-2 + 6 = 0.5×(-2)²
4 = 0.5×4 = 2
4 = 2 is wrong. => here, at this point, the function "rips" apart and is not continuous.
B. x=-2
-2 + 4 = 0.5×(-2)²
2 = 2 is correct. continuous at this point.
second connection point x=4
0.5×4² = 20 - 3×4
0.5×16 = 20 - 12
8 = 8 is correct. continuous at this point
C. x=-2
-2 - 2 = 0.5×(-2)²
-4 = 2 is wrong. not continuous
D. x=-2
-2 + 4 = 0.5×(-2)²
2 = 2 is correct. continuous here.
now for x=4
4 + 4 = 25 - 3×4
8 = 25 - 12 = 13
8 = 13 is wrong. not continuous.
Evaluate the following integral on the region R in xy-plane
An obvious substitution would be to take u = x - y and v = x + 2y, so that 0 < u < 1 (which follows from y = x ==> x - y = 0 and y = x - 1 ==> x - y = 1), and 0 < v < 1.
Solve for x and y in terms of u and v :
u - v = (x - y) - (x + 2y) = -3y ==> y = (v - u)/3
2u + v = 2 (x - y) + (x + 2y) = 3x ==> x = (2u + v)/3
Compute the Jacobian and its determinant:
[tex]J=\begin{bmatrix}D_ux&D_vx\\D_uy&D_vy\end{bmatrix}=\begin{bmatrix}\dfrac23&\dfrac13\\\\-\dfrac13&\dfrac13\end{bmatrix} \implies |\det(J)|=\dfrac13[/tex]
Now in the integral, we have
[tex]\displaystyle\iint_R\frac{x+2y}{\cos(x-y)}\,\mathrm dx\,\mathrm dy = \frac13\int_0^1\int_0^1\frac{v}{\cos(u)}\,\mathrm du\,\mathrm dv \\\\ \displaystyle= \frac13\left(\int_0^1v\,\mathrm dv\right)\left(\int_0^1\sec(u)\,\mathrm du\right) \\\\ \displaystyle= \frac13\bigg(\frac{v^2}2\bigg)\bigg|_0^1\bigg(\ln|\sec(u)+\tan(u)|\bigg)\bigg|_0^1 \\\\ \displaystyle= \boxed{\frac16\ln(\sec(1)+\tan(1))}[/tex]
Find the volume of a sphere with a surface area of 400 square feet.
Answer:
V≈752.25ft
Step-by-step explanation:
please mark me brain list
Answer: the volume of the sphere would be precicely be 752.25278
Step-by-step explanation: yeah, i guess this is just a run and search kind of question, the formula to find it was:
A=4πr2
V=4
3πr3
Solving forV
V=A3/2
6π=4003/2
6·π≈752.25278
30 points ~ Thirty-eight kids are riding the bus. Half of the kids are girls. How many boys are on the bus?
Answer:
19 boys
Step-by-step explanation:
38 kids on the bus
1/2 are girls, that means 1/2 are boys
1/2 * 38 = 19
There are 19 girls and 19 boys
A biologist is studying the migratory patterns of sandhill cranes. His study focuses only on sandhill cranes that are bred and hatched in Alaska, and eventually migrate south to warmer climates. Each year he randomly tags a sample of 50 cranes with GPS trackers to gather data about their migratory patterns.
In this scenario, the population is
.
In this scenario, the sample is
Answer:
Population = All Sandhill cranes bred and hatched in Alaska that migrate south
Sample = The 50 crane samples which are tagged yearly.
Step-by-step explanation:
The population refers to all members or subjects which belongs to a defined study. Each and every subject which meets the requirement of a study makes up the population.
The sample however, is a subset of the population, the sample is a smaller group of subject which is selected from the population randomly to for a representative sample of the population. Here, it is the 50 sampled sandhill cranes bed per year.
Answer:
These are the answers
Step-by-step explanation:
A machine fills boxes at a constant rate.At the end of 35 minutes it has filled 5 boxes. Which table represents the relationship between the number of minutes the machine fills boxes and the number of boxes it has filled?
Answer:
7
Step-by-step explanation:
5 x 7 = 35 or 35/5 = 7 [ correct me if i'm wrong ]
What's the surface area of this shape???
Answer:
197 in^2
Step-by-step explanation:
Add the areas of each face:
2 trapezoid faces:
(5+9) ÷ 2 x 5 = 35
2(35) = 70 in^2
2 squares:
5 x 5 = 25
2(25) = 50 in^2
Rectangular base:
5 x 9 = 45 in^2
Area of slanted rectangle:
6.4 x 5 = 32 in^2
Add:
32 + 45 + 50 + 70 = 197
What is the biggest possible answer you can get by putting
one pair of brackets into the calculation below? Show your working.
9 - 4 + 5 x 3
Answer:
9-4+(5x3)
Step-by-step explanation:
9-4+15
24-4
20
Is the answer to this question 13.5
Answer:
i think its 13
Step-by-step explanation:
you are supposed to measure the lowest point of the liquid.
25 points!!!!!!!!
Solve the system of equations.
4x + 3y + 5z = 6
6x + 8y + 62 = 4
4x + 2y + 62 = 8
please select the best answer from me the choices provided
a. (x = 1, y = - 1,2 = 1)
b. (x = 3, y = -3, z = 3)
(x = 0, y = 0, z = 2)
d. (x = 2, y = -2, z = 0)
Answer:
A is your answer, my guy
Step-by-step explanation:
4x1=4
3x-1=-3
5x1=5
4+(-3)+5=6
6x1=6
8x-1=-8
6x1=6
6+(-8)+6=4
4x1=4
2x-1=-2
6x1=6
4+(-2)+6=8
Here is a trapezium drawn on a centimetre grid (not drawn to scale).
Work out the area of the trapezium, stating the units of your answer.
Answer:
Step-by-step explanation:
equation
area(base1 + base2)
Kelly used the vertical line test to determine whether or not the curve that she had been given is a function. After conducting the vertical line test, Kelly determined that the curve is a function. Which of the following choices represents the result of Kelly’s vertical line test?
Answer:
0 or 1
Step-by-step explanation:
Given that Kelley is tasked with having to use vertical line test to determine whether or not a curve is a function. Each vertical line that Kelly draws through her curve must intersect the curve at maximum one point only in order for thecurve to be a function
Answer is 0 or 1 point
You are having a get-together and are expecting 30 guests. You plan on serving Chocolate Chip Cookies. Use your knowledge of fractions to re-write the recipe for Chocolate Chip Cookies. The recipe card states that it makes 60 cookies. What will need to be done in order to make 30 cookies?
Show your work neatly. List all steps taken as you recalculate each ingredient and then re-write the recipe card.
Discuss what you learned about fractions from this activity.
Did you find some measurements easier to convert than others? Why do you think this is so?
Answer:
Chocolate Chip Cookies:
2
1
/
2
cups flour
3
/
4
cup sugar
1
tsp. baking soda
1
tsp. vanilla
3
/
4
teaspoon salt
2
eggs
1
cup butter
3
/
4
pound Chocolate Chips
Fractions:
A fraction is a numerical quantity that represents a part of a whole. A fraction can be recognized by a horizontal line that is there between the two numbers. The number above the horizontal line is called the numerator and the number below the horizontal line is called the denominator.
A fraction that is less than 1 is called a Proper Fraction.
Example- A fraction that is greater than or equal to 1 is called an Improper Fraction.
Example- A whole number and a fraction combined into one is called a MIxed Fraction.
Example- To Convert Mixed Fraction into an improper fraction, multiply the denominator with the integer and add this product to the numerator.
Example-
5
3
4
=
(
4
×
5
)
+
3
4
=
23
4
Answer and Explanation:
for what value of x does 4x=(1/8)^x+6?
Answer please help
A. -15
B. -3
C. 3
D. 15
Im sorry but what I got was x=1.5 I don't know if this helps or not.
An elevation of - 12 m is higher than an elevation of -17 m. An elevation of - 17 mis lower than an elevation of -14 m. Which set of inequalities correctly
expresses these relationships?
-12-17 and -17<-14
-12-17 and -17 > -14
-12<-17 and -17 < -14
-12-17 and -17 > -14
help plss
Given:
An elevation of - 12 m is higher than an elevation of -17 m.
An elevation of - 17 m is lower than an elevation of -14 m.
To find:
The set of inequalities that correctly expresses these relationships.
Solution:
An elevation of - 12 m is higher than an elevation of -17 m.
We know that, higher than means greater than and it is represented by the inequality ">". So,
[tex]-12>-17[/tex]
An elevation of - 17 m is lower than an elevation of -14 m.
We know that, lower than means less than and it is represented by the inequality "<". So,
[tex]-17<-14[/tex]
Therefore, the required set of inequalities is [tex]-12>-17[/tex] and [tex]-17<-14[/tex].
Note: The inequality signs are not proper in the options.
In a class, three-fifths of 25 students are girls. What is the number of girls in the class?
Answer:
15
Step-by-step explanation:
3/5*25
Answer:
15 girls
Step-by-step explanation:
(3/5) x 25 = 15
Debra bought 16 pounds of sugar for $7.
How many dollars did she pay per pound of sugar
What is the value of c?
A. 68
B. 71
C. 38
D. 34
Answer: C
Step-by-step explanation:
See diagram above
which of the following is a geometric sequence?
Answer:
The right answer is a.
Step-by-step explanation:
PLEASE MARK ME AS A BRAINLIEST
Suppose that you have a square pyramid like the one pictured. Which plane section will produce a triangle?
Question 7 options:
A)
A cut parallel to the vertical axis, directly through the vertical axis
B)
A cross section cut parallel with the bottom
C)
A cut parallel to the vertical axis, but off the vertical axis
D)
Cutting off one of the bottom corners
Solve y=x³ with function y=fx
Answer:
Hope it will help you!!!!
Activity 2 Direction: Complete the proof. Given: V is the midpoint of |E, angle| cong angle E Prove: V is the midpoint of GR Proof: Statements 1. V is the midpoint of IE, 21 2. 3. 4. AGVI ARVE 5. 6. V is the midpoint of GR Q3 Week No.9 Competency E R Reasons Definition of Midpoint E 1. 2. 3. Vertical Angle Theorem 5. CPCTC 6. 5 Code: M8GE-Illh-1, M8GE-Illi-j-1 Activity 3 Direction: Fill in the missing statements and reasons. Given: GA bisects angle G; overline GA perp L overline D Prove: overline GL cong overline GD Proof: Statements 1. GA bisects 4G 2 . 3 . 4. ZGAL and angle GAD are right angles 5 . 6. overline GA cong overline GA; 7. Delta GAL cong Delta GAD; 8. overline GL cong overline GD L D Reasons Bisector 1. 2. Definition of Angle 3. Given 4 . 5. All right angles are congruent. 6. 7 . 8.
Answer:
[tex]1.\ Given[/tex]
[tex]2.\ IV \cong VE[/tex]
[tex]3.\ \angle GVI \cong \angle RVE[/tex]
[tex]4.\ ASA\ congruence[/tex]
[tex]5.\ GV \cong VR[/tex]
[tex]6.\ Proved[/tex]
Step-by-step explanation:
Given
See attachment for right question format
Required
Complete the blanks
1. V is the [tex]midpoint[/tex] of |E, [tex]\angle I \cong \angle E[/tex] ---- This statement was stated in the question.
So, the reason is Given
2. Midpoint means halfway. So, we can fill the statement column with:
[tex]IV \cong VE[/tex] --- because V is the midpoint of IV and VE
or [tex]GV \cong VR[/tex] --- because V is the midpoint of GV and VR
3. Vertical angle are congruent. So, the statement is:
[tex]\angle GVI \cong \angle RVE[/tex] which means that angles at V are congruent
4. We have:
[tex]\triangle GVI \cong \triangle RVE[/tex] because
[tex]\angle GVI \cong \angle RVE[/tex] --- congruent angles (A)
[tex]IV \cong VE[/tex] ---- congruent sides (S)
[tex]\angle GIV \cong \angle REV[/tex] --- congruent angles (A)
The above implies that: [tex]\triangle GVI \cong \triangle RVE[/tex] because of ASA congruence
5. CPCTC is true here because GV and VR are corresponding sides of triangles GVI and RVE. ---- [tex]\triangle GVI \cong \triangle RVE[/tex]
Hence, both sides are congruent ----[tex]GV \cong VR[/tex]
6. The given statement has been prived
Need help ASAP hshehebsbeb
Answer:
I thing option A. all real numbers.
but IAM not exactly sure....
Answer:
all real numbers is correct answer
Can someone please answer quickly <3
Find the mean of the data summarized in the given frequency distribution. Compare the computed mean to the actual mean of 47.3 miles per hour.Speed (miles per hour) 42-45 46-49 50-53 54-57 58-61Frequency 21 15 6 4 2The mean of the frequency distribution miles ______ per hour. (Round to the nearest tenth as needed.)Which of the following best describes the relationship between the computed mean and the actual mean?A. The computed mean is not close to the actual mean because the difference between the means is more than 5%.B. The computed mean is not close to the actual mean because the difference between the means is more than 5%.C. The computed mean is not close to the actual mean because the difference between the means is less than 5%.D. The computed mean is close to the actual mean because the difference between the means is less than 5%.
Answer:
47.4167
D. The computed mean is close to the actual mean because the difference between the means is less than 5%
Step-by-step explanation:
Given the distribution :
Speed(m/hr) ___ midpoint(x) ___ F ___fx
42 - 45 _______ 43.5 ________21 __ 913.5
46 - 49 _______47.5 _________15 __712.5
50 - 53 _______ 51.5 _________6 __ 309
54 - 57 _______ 55.5 ________ 4 ___ 222
58 - 61 ________59.5 ________ 2 ___ 119
The midpoint, x= sum of lower and upper boundary divided by 2
For instance, (42 + 45) / 2 = 43.5
The computed mean, Σfx / Σf = 2276 / 48 = 47.4167
Actual mean = 47.3 miles
(47.4167 - 47.3) / 47.3 * 100% = 0.24%
Which of the following lists of ordered pairs is a function?

A.
(1, 2), (1, –2), (3, 2), (3, 4)

B.
(0, 2), (2, 3), (0, –2), (4, 1)

C.
(1, 6), (2, 7), (4, 9), (0, 5)

D.
(2, 4), (0, 2), (2, –4), (5, 3)
The answer is C
Step-by-step explanation:
Not sure I can't really give an explanation but its C
Can someone help with this
Answer:
triangle BEF is right angled triangle
Mrs. Smith bought 6.2 kg of cassava and 1 kg 250 g of bananas. What is the total weight in kg?
Step-by-step explanation:
my answer is in the image above
find the GCF of 36 and 54
Answer:
Step-by-step explanation:
The greatest common factor of 36 and 54 is 18. 18×2=36 and 18×3=54.
A cyclist travels at an average speed of 18 mph for 2 hours.
How far did she travel in miles?
Answer:
36
Step-by-step explanation:
18 miles per hour so for 2 hours which is double, she should have traveled 36 miles.
Good Luck!
